 -5*o + 3026, o - 1808 = -2*o + 2*w. Let y = -602 + o. Suppose 0*h**y + 0*h - 2/7*h**4 - 2/7*h**3 + 0 = 0. What is h?
-1, 0
Suppose -36/7*j - 3/7*j**2 - 15 = 0. What is j?
-7, -5
Suppose 6 = -7*w + 6. Let v be (w - (-2 + 0))*-1*-1. Suppose 2*p**3 - 4*p**3 - p - 6*p**v - p + 4*p**3 + 6 = 0. Calculate p.
-1, 1, 3
Let r(j) = -25*j**2 + 51*j + 288. Let z(m) = 16*m**2 - 50*m - 288. Let x(u) = -2*r(u) - 3*z(u). Factor x(l).
2*(l + 12)**2
Let j(s) = -641*s + 41. Let v be j(3). Let a = -1876 - v. Let 0*u + a*u**4 + 0 - 3*u**3 + 3/8*u**2 = 0. What is u?
0, 1/4
Let x(n) be the first derivative of 5*n**6/6 + 108*n**5 + 1005*n**4/4 - 5890*n**3/3 - 3090*n**2 + 19080*n - 3457. Determine w so that x(w) = 0.
-106, -3, 2
Suppose 2*v + 38 = 64. Factor 20*c + v*c - 13*c - 56 + 4*c**3 + 36*c**2 - 4*c**2.
4*(c - 1)*(c + 2)*(c + 7)
Let v(d) be the third derivative of d**8/504 - d**7/7 + 11*d**6/45 + 924*d**2. Let v(u) = 0. What is u?
0, 1, 44
Let h = 1 - -3. Let j = 292000 + -291997. Factor 0 - 6*n**2 - 2/3*n**4 - 8/3*n - h*n**j.
-2*n*(n + 1)**2*(n + 4)/3
Let j be 17813/15160 + (-9)/24*1. Determine u so that -2/5*u**4 - 6/5*u**3 - 2/5*u**2 + 6/5*u + j = 0.
-2, -1, 1
Suppose -4*i = -10*s + 7*s - 13, -i + 27 = 4*s. Suppose -4722 - 3783 = -i*r. Factor -1689 - 164*h**2 + 29*h**2 - r*h - 1956 - 5*h**3.
-5*(h + 9)**3
Let d(x) = x**2 - 15*x + 26. Let b be d(13). Let s = b + 5. Factor -25*m**3 - s*m**2 - 72 + 9*m - 4*m - 15*m**4 + 72.
-5*m*(m + 1)**2*(3*m - 1)
Let f(q) be the first derivative of 7/5*q**5 + 6*q**4 + 40/3*q**3 - 4*q + 2/15*q**6 + 10 + 16*q**2. Let b(i) be the first derivative of f(i). Factor b(o).
4*(o + 1)*(o + 2)**3
Let f(u) = 20*u**2 + 26989*u - 27053. Let v(q) = -4*q**2 - 5398*q + 5410. Let z(d) = -2*f(d) - 11*v(d). Find w, given that z(w) = 0.
-1351, 1
Determine a so that -5*a**3 - 3145556 - 2422035*a + 435606 + 6975*a**2 - 4619065 = 0.
-3, 699
Let y(g) be the second derivative of -5*g**4/48 + 105*g**3/8 + 850*g**2 + 425*g. Let y(s) = 0. What is s?
-17, 80
Let k be ((-3)/348)/((-15)/24). Let x = 586/435 - k. Factor -1/3*a**2 + x*a - 1.
-(a - 3)*(a - 1)/3
Factor -28 - 809*w**3 - 3*w**4 - 147*w**2 + 767*w**3 - 108*w + 28.
-3*w*(w + 1)*(w + 4)*(w + 9)
Let w(o) = o**2 - 513*o - 541824. Let s be w(-523). Suppose -4*v**2 + 4/3*v**s + 8 + 28/3*v - 4*v**3 = 0. What is v?
-1, 2, 3
Let y(h) = -27*h**3 - 13*h**2 + 17*h + 9. Let m(q) = 81*q**3 + 41*q**2 - 52*q - 33. Let t(v) = -2*m(v) - 7*y(v). Factor t(p).
3*(p + 1)*(3*p - 1)**2
Factor 25*k**2 + 56*k - 24*k**2 - 77*k.
k*(k - 21)
Let s(v) be the first derivative of -7 - 8/27*v**3 - 15*v - 1/18*v**4 + 1/3*v**2. Let n(m) be the first derivative of s(m). Solve n(c) = 0.
-3, 1/3
Factor -95/11*h - 2/11 - 47/11*h**2.
-(h + 2)*(47*h + 1)/11
Let t(s) be the first derivative of 16/7*s**2 + 8*s + 2/21*s**3 - 47. What is k in t(k) = 0?
-14, -2
Suppose -497*g + 261 = -733. Factor 3/2*s**g + 5/2*s**3 + 0*s - 1/2*s**5 + 1/2*s**4 + 0.
-s**2*(s - 3)*(s + 1)**2/2
Let o(c) be the second derivative of c**7/504 + c**6/16 + c**4/12 + 25*c**3/6 + 70*c. Let k(a) be the third derivative of o(a). Factor k(u).
5*u*(u + 9)
Let l(a) be the second derivative of -a**7/42 + 5*a**6/6 + 29*a**5/10 - 25*a**4/3 - 36*a**3 - 1356*a. Determine p, given that l(p) = 0.
-2, 0, 2, 27
Let d = -369185 - -369188. Let 523/5*c**d + 1976/5*c + 1/5*c**5 - 49/5*c**4 + 676/5 + 1873/5*c**2 = 0. Calculate c.
-1, 26
Let s be -9 + 660/48 + (-6)/8. Let m be (-1)/(-3) + s/84*-1. Factor -4/7 - m*o**3 + 2/7*o + 4/7*o**2.
-2*(o - 2)*(o - 1)*(o + 1)/7
Let z = 114048 - 113562. Factor z + 36*o + 2/3*o**2.
2*(o + 27)**2/3
Let b(y) = 102*y + 514. Let a be b(-5). Let q(v) be the third derivative of 13*v**2 + 1/160*v**5 + 0*v - 9/32*v**a + 81/16*v**3 + 0. Solve q(c) = 0.
9
Let z = -26391/5 - -5291. Let t(f) be the second derivative of -4/5*f**4 + 1/50*f**5 - 512/5*f**2 - 4*f + z*f**3 + 0. Determine m, given that t(m) = 0.
8
Solve 141 - 25 - 97*v**2 + 677*v**2 + 732*v + 293*v**2 - 12*v**4 + 55 + 180*v**3 = 0.
-3, -1/2, 19
Find q, given that 58/9*q**2 + 8/9*q**3 + 110/9*q + 8/3 = 0.
-4, -3, -1/4
Let v(k) be the third derivative of -k**6/120 - 41*k**5/30 - 1505*k**4/24 + 3698*k**3/3 - 2*k**2 - 1835*k. What is s in v(s) = 0?
-43, 4
Let n(g) be the first derivative of g**7/2240 + 7*g**6/960 - g**5/320 - 7*g**4/64 - g**3/3 - g**2/2 - 21. Let m(s) be the third derivative of n(s). Factor m(v).
3*(v - 1)*(v + 1)*(v + 7)/8
Let t(c) be the first derivative of c**6/12 + 103*c**5/10 + 1449*c**4/4 + 6347*c**3/3 + 17101*c**2/4 + 7203*c/2 - 1765. Let t(z) = 0. Calculate z.
-49, -3, -1
Suppose 12*i + 6 = 11*i, n + 4*i = -14. Let m(g) be the first derivative of -n + 1/18*g**4 + 4/9*g**3 + g**2 + 8/9*g. Factor m(f).
2*(f + 1)**2*(f + 4)/9
Let w = 497 + -496. Let n be w/42*9*104/3. Factor -n*c**2 - 16/7 + 24/7*c**3 + 48/7*c - 4/7*c**4.
-4*(c - 2)**2*(c - 1)**2/7
Let f(p) be the second derivative of p**4/16 + 22*p**3 - 299*p + 1. Determine d, given that f(d) = 0.
-176, 0
Factor 5094*u**3 + 50*u**2 - 5079*u**3 + 0*u**4 - 5*u**4.
-5*u**2*(u - 5)*(u + 2)
Let x(b) be the second derivative of b**9/15120 + 13*b**8/8400 - b**7/300 - 112*b**3/3 - 124*b. Let c(p) be the second derivative of x(p). Solve c(g) = 0 for g.
-14, 0, 1
Let a(j) be the first derivative of -4*j**3/9 - 5828*j**2/3 - 8491396*j/3 - 1669. Factor a(m).
-4*(m + 1457)**2/3
Let r be (11 + -13)/((5/(-21))/5). Let t be (87/(-45) + 2)/(r/70). Factor n + 0 + t*n**3 - 2/3*n**2.
n*(n - 3)**2/9
Suppose -2/3*o**4 + 488/3*o**3 - 29768/3*o**2 + 0 + 0*o = 0. What is o?
0, 122
Let b(y) be the second derivative of -y**6/80 + 159*y**5/160 - 101*y**4/32 - 53*y**3/16 + 153*y**2/8 + 11*y - 115. Find k, given that b(k) = 0.
-1, 1, 2, 51
Let b(m) be the third derivative of -2*m**7/21 - 73*m**6/5 + 181*m**5/15 + 73*m**4 - 352*m**3/3 - 295*m**2 + 2. Find n such that b(n) = 0.
-88, -1, 2/5, 1
Let o = 2177/198 - 49/99. Let j(k) be the first derivative of o*k**2 - k**3 + 26 + 0*k. Solve j(x) = 0.
0, 7
Let d(p) = -16*p**3 - 1013*p**2 - 2026*p - 1017. Let v(q) = -27*q**3 - 2028*q**2 - 4055*q - 2034. Let b(w) = -10*d(w) + 6*v(w). Factor b(s).
-2*(s + 1)**2*(s + 1017)
Find n such that 22/5*n**3 - 2/5*n**4 + 146/5*n + 12 + 22*n**2 = 0.
-2, -1, 15
Let v(z) = 6*z**2 - 206*z + 5408. Let w(p) = -14*p**2 - 442*p - 10124 - 692 + 853*p. Let t(k) = -5*v(k) - 2*w(k). Find i, given that t(i) = 0.
52
Suppose -9 = -30*p - 69. Let w be ((-34)/6 - (-9)/(-27))/p. Let -1/2*y**4 - 3/2 - y + y**w + 2*y**2 = 0. What is y?
-1, 1, 3
Let f be 5 + -5 + (-1655)/4785. Let g = -4/319 - f. Let 0 + g*r**2 + 2/3*r = 0. What is r?
-2, 0
Determine v so that -1123 - 279*v**2 + 132*v**2 + 78*v + 1063 + 106*v + 9*v**3 = 0.
2/3, 15
Let o(b) be the third derivative of -b**8/216 + 4*b**7/315 + 337*b**6/135 + 2432*b**5/135 - 1088*b**4/9 - 4096*b**3/27 + 3442*b**2. Let o(a) = 0. Calculate a.
-8, -2/7, 2, 16
Let l(m) be the first derivative of -8/3*m**3 + 16 + 0*m + m**4 - 6*m**2. Factor l(s).
4*s*(s - 3)*(s + 1)
What is q in 38*q**5 - 762*q**3 - 208 + 760*q**2 - 36*q**5 + 208 = 0?
-20, 0, 1, 19
Let a(n) be the third derivative of -n**5/60 + 1283*n**4/24 - 641*n**3/3 + 6*n**2 - 431. Factor a(u).
-(u - 1282)*(u - 1)
Let u(m) be the first derivative of 101 + 361/2*m - 323/4*m**2 - 1/8*m**4 - 37/6*m**3. Factor u(k).
-(k - 1)*(k + 19)**2/2
Let v(a) be the third derivative of a**6/480 - 49*a**5/24 + 2*a**2 + 1506*a. Solve v(t) = 0.
0, 490
Suppose 0 = 16*g - 52*g - 144. Let j be (1 - -3 - 3)*7 + g. Solve -1/6*p**j + 1/6*p**5 + 0*p + 1/3*p**4 - 1/3*p**2 + 0 = 0 for p.
-2, -1, 0, 1
Factor 2/11*y**3 - 138/11*y + 12*y**2 - 268/11.
2*(y - 2)*(y + 1)*(y + 67)/11
Factor 5*h**2 - 251 + 19*h - 19 + 6*h - 10*h.
5*(h - 6)*(h + 9)
Suppose -55*z**2 - 82*z**2 + 155*z + 142*z**2 - 1800 = 0. What is z?
-40, 9
Let l(x) be the second derivative of -3/13*x**3 - 8/13*x**2 + 5 - 3*x - 1/78*x**4. Factor l(q).
-2*(q + 1)*(q + 8)/13
Let u(p) be the first derivative of -7*p**5/15 + 179*p**4/24 - 319*p**3/9 + 35*p**2 - 12*p + 441. What is a in u(a) = 0?
2/7, 1/2, 6
Let v(a) be the third derivative of 2*a**7/21 - 97*a**6/12 + 385*a**5/48 - 5*a**4/2 - 46*a**2 - a. Factor v(l).
5*l*(l - 48)*(4*l - 1)**2/4
Let a(q) be the third derivative of -q**5/60 + 7*q**4/6 - 9*q**3/2 - 12*q**2 - 25*q. Suppose a(z) = 0. Calculate z.
1, 27
Let r(w) = w**2 