 be (-408)/(-144)*(6 + (-2835)/476). Suppose -29/8*t - h*t**5 - 11/8*t**4 - 7/8 - 17/4*t**3 - 23/4*t**2 = 0. What is t?
-7, -1
Let a(w) = -1 - w + w**2 + w - w. Let x(i) = -157*i + 2040. Let d be x(13). Let y(j) = 6*j**3 + 10*j**2 - 12*j - 8. Let p(v) = d*y(v) + 8*a(v). Factor p(l).
-2*l*(l + 1)*(3*l - 2)
Let r = 59434 - 178300/3. Suppose 0*d**3 + r*d**4 + 2/3 + 0*d - 4/3*d**2 = 0. Calculate d.
-1, 1
Let r = 45826127/615433 - 3/47341. Find k, given that r - 88/13*k + 2/13*k**2 = 0.
22
Let v(h) = 11*h**4 + 91*h**3 - 298*h**2 + 79*h + 253. Let b(d) = 2*d**4 + 15*d**3 - 50*d**2 + 15*d + 42. Let c(j) = 34*b(j) - 6*v(j). Let c(r) = 0. What is r?
-1, 1, 3, 15
Let j(k) be the first derivative of 2*k**6/9 + 8*k**5/45 - k**4/9 + 261. Factor j(q).
4*q**3*(q + 1)*(3*q - 1)/9
Let l = 46404/5999 - 18/857. Let z be (-68)/170 - 488/(-70). Suppose -242/7*n**3 - z*n**4 + 30*n**5 - 8/7 + 32/7*n + l*n**2 = 0. Calculate n.
-1, -2/5, 2/7, 1/3, 1
Let o be 4/34 - (-420)/(-102). Let w be (-10)/(o/(-2)) + 237/45. Factor -2/15*a**3 + 2/15*a - 4/15 + w*a**2.
-2*(a - 2)*(a - 1)*(a + 1)/15
Let y be 71 - 141414/2310 - (-2)/(-11). Factor 0 + 12/5*h + 216/5*h**4 + 291/5*h**3 + y*h**5 + 108/5*h**2.
3*h*(h + 2)**2*(4*h + 1)**2/5
Find i, given that -3/4*i**3 + 0*i + 0 - 21/4*i**2 = 0.
-7, 0
Let p(u) = -5*u**2 - 13*u + 38. Suppose 13 = -7*s + 69. Let q(n) = -2*n**2 - 4*n + 13. Let t(z) = s*q(z) - 3*p(z). Find d such that t(d) = 0.
2, 5
Suppose 3*r - 3 = 4*f, -2*f - 113 + 129 = 2*r. Let s(g) be the first derivative of -4/3*g**f + 1/2*g**4 + 0*g + g**2 + 15. Factor s(z).
2*z*(z - 1)**2
Let 484/3 - 4/3*c**4 - 160*c**2 + 88/3*c - 88/3*c**3 = 0. What is c?
-11, -1, 1
Let k(d) be the third derivative of 0*d**4 - 1/60*d**5 + 0 + 6*d + 0*d**3 + 0*d**6 + 8*d**2 + 1/210*d**7. Determine z so that k(z) = 0.
-1, 0, 1
Let n(q) be the first derivative of 3*q**5/20 + 3*q**4/2 - q**3/2 - 9*q**2 - 95*q + 4. Let m(z) be the first derivative of n(z). Factor m(p).
3*(p - 1)*(p + 1)*(p + 6)
Let u(r) = -2*r**4 + r + 3. Let g(v) = 16*v**4 - 48*v**3 + 108*v**2 + 10*v - 162. Let q(f) = -g(f) - 6*u(f). Factor q(l).
-4*(l - 9)*(l - 2)**2*(l + 1)
Let p(l) be the third derivative of l**6/120 + 9*l**5/40 + 5*l**3/3 + 4*l**2 - 3. Let m(j) be the first derivative of p(j). Suppose m(y) = 0. Calculate y.
-9, 0
Let n be (412237/42)/7 - (-2)/(-12). What is s in -2775*s**3 + n*s**3 - 18*s**2 + 6*s**2 + 1386*s**3 = 0?
0, 12/13
Factor 3*t**4 - 22*t**3 + 1261*t**2 - 1207*t**2 + 228*t + 135 - 14*t**3.
3*(t - 9)*(t - 5)*(t + 1)**2
Let j be 24*((-29)/(-6))/((-4)/(-40)). Let n = j - 1158. Let -4/17*d**n - 2/17*d**3 - 2/17*d + 0 = 0. What is d?
-1, 0
Let l(z) = -13*z**3 + 66*z**2 - 65*z. Let n(d) = 59*d**3 - 265*d**2 + 260*d. Let g(k) = -18*l(k) - 4*n(k). Factor g(j).
-2*j*(j - 1)*(j + 65)
Let p = 35 - 27. Suppose 16 = a + p. Factor a*n**3 - 4*n**4 - 2 - 6 + 12 - 8*n.
-4*(n - 1)**3*(n + 1)
Suppose -4*u = -5*c - 12 + 7, 0 = -4*c + 2*u - 10. Let i be (-32)/(-40)*c/(-12). Factor -1/3*o**3 + 0 + 0*o - i*o**2.
-o**2*(o + 1)/3
Let q(j) be the second derivative of -1/6*j**4 + 9*j - 10*j**3 - 56*j**2 - 5. Find f, given that q(f) = 0.
-28, -2
Let n(b) = 9*b**2 + 8*b - 14. Let q be n(4). Factor -17 + 630*k**4 + 240*k + 690*k**2 + q*k**5 + 40 + 950*k**3 + 9.
2*(k + 1)**3*(9*k + 4)**2
Let v(g) be the second derivative of -g**6/6 + 27*g**5/2 - 1025*g**4/3 + 1875*g**3 + 15625*g**2/2 + 754*g. Solve v(o) = 0.
-1, 5, 25
Let r be 2 - (12210/(-240))/(-37). Factor 1/8*l**4 - 3/2*l**2 - r*l**3 + 10*l - 8.
(l - 4)**2*(l - 1)*(l + 4)/8
Let i(s) be the second derivative of 0 + 1/30*s**6 + 11*s - 23/24*s**3 - 19/48*s**4 - 3/4*s**2 + 1/10*s**5. Factor i(j).
(j - 2)*(j + 3)*(2*j + 1)**2/4
Let x = -1/620 - -171/9920. Let v(u) be the third derivative of 0*u + 0 + 1/480*u**5 - 1/1680*u**7 + 0*u**3 - x*u**4 + 1/320*u**6 - 6*u**2. Factor v(c).
-c*(c - 3)*(c - 1)*(c + 1)/8
Let r be 16/(-1*2) + ((-340)/10 - -45). Let g(a) be the first derivative of 0*a**2 + 0*a + 1/3*a**4 + 30 - 2/15*a**5 - 2/9*a**r. Suppose g(n) = 0. What is n?
0, 1
Let q(i) = 5*i**3 + i**2 - 9*i - 3. Let w(x) = 16*x**3 + 4*x**2 - 26*x - 10. Let z be -2*(4/2 + 3). Let g(v) = z*q(v) + 3*w(v). Factor g(a).
-2*a*(a - 3)*(a + 2)
Let a = 60946 - 60943. Find n, given that 1/10*n**2 + 0 + 1/10*n**5 - 1/10*n**a + 0*n - 1/10*n**4 = 0.
-1, 0, 1
Solve -3/5*d**3 + 78/5*d**2 - 216/5 - 27*d = 0 for d.
-1, 3, 24
Let x = -677 + 824. Let v be 273/x + (-5)/(-35). Suppose -36*w**v + 72*w - 2/3*w**4 + 8*w**3 - 54 = 0. Calculate w.
3
Let u(a) = -a**2 + a + 1. Let z(k) = -73*k**2 - 2*k + 17*k**4 - 25 - k**5 + 23 + 5*k**3 - 10*k**4 + 0*k**5 + 0*k**3. Let q(y) = -6*u(y) - 3*z(y). Factor q(g).
3*g**2*(g - 5)**2*(g + 3)
Let b = 1206/49 - 20464/931. Find z such that b*z**4 + 128/19 + 192/19*z - 88/19*z**2 - 120/19*z**3 = 0.
-4/5, 2
Suppose 4*o + 5*c = 76, -5*c = -6*o + 8*o - 68. Factor 1989*q + 49/4*q**o + 13213/4*q**2 - 819/2*q**3 + 289.
(q - 17)**2*(7*q + 2)**2/4
Let k(w) be the first derivative of 1/30*w**5 - 2/3*w**3 + 13/2*w**2 - 1/12*w**4 + 0*w + 9. Let o(g) be the second derivative of k(g). Factor o(v).
2*(v - 2)*(v + 1)
Factor -715/2*l + 5/6*l**2 + 1070/3.
5*(l - 428)*(l - 1)/6
Let u be ((-7581)/5776)/(21/(-216)). Suppose -u*q**3 + 27*q**2 + 4 - 18*q = 0. What is q?
2/3
Let 24/7*g**3 + 20/7*g + 2/7*g**4 + 6*g**2 + 0 = 0. What is g?
-10, -1, 0
Let w be 11 - -6*6/(-9). Suppose 23 + w = 3*n. Suppose 11 - 5 + 0*v**4 - n*v**2 + 5*v**4 - 1 = 0. What is v?
-1, 1
Let l(b) = -6*b**2 + 26*b + 104. Let v(z) = z**2 - 2. Let k(d) = -l(d) - 4*v(d). Factor k(p).
2*(p - 16)*(p + 3)
Factor 2/13*q**2 + 336/13*q + 334/13.
2*(q + 1)*(q + 167)/13
Let a = -9097 + 45489/5. Let d(k) = -k**3 + 2*k**2 + 4*k. Let j be d(3). Suppose 0 + 0*c**2 + 0*c**4 + 2/5*c**5 - a*c**j + 2/5*c = 0. What is c?
-1, 0, 1
Find j such that -784/17*j + 2/17*j**5 + 206/17*j**3 - 32 - 46/17*j**4 + 14/17*j**2 = 0.
-1, 4, 17
Let k(v) be the second derivative of v**4/30 + 1042*v**3/15 + 271441*v**2/5 + 421*v. What is q in k(q) = 0?
-521
Suppose 4*h = 3*a - 64, a - 14003*h - 80 = -13998*h. Find t such that a - 2*t - 2/3*t**2 = 0.
-3, 0
Let c(l) = 20*l**5 + 4*l**4 - 12*l**3 - 56*l**2 - 48*l. Let i(x) = -9*x**5 + x**4. Let g(n) = -c(n) - 2*i(n). Factor g(m).
-2*m*(m - 3)*(m + 2)**3
Let x(s) be the second derivative of -s**5/50 + s**4/15 - s**3/15 + s - 1. Factor x(m).
-2*m*(m - 1)**2/5
Let z be 5*(-208)/280*-2. Let p(l) = l**3 + 5*l**2 + l + 10. Let t be p(-5). Find x, given that -64/7*x**2 + 16/7*x + 36/7*x**t - z*x**3 + 64/7*x**4 + 0 = 0.
-2, -1, 0, 2/9, 1
Let d(m) = 12*m**3 + 693*m**2 - 9*m + 3. Let r(u) = 5*u**3 + u**2 - 3*u + 1. Let c(o) = d(o) - 3*r(o). Factor c(l).
-3*l**2*(l - 230)
Suppose i + 2*r = 16, -5*i + 56 = -2*i + 2*r. Determine y, given that 14*y + i + 74*y**3 - 158*y**3 - 28*y**2 + 78*y**3 = 0.
-5, -2/3, 1
Let m(z) be the third derivative of 0 - 5/102*z**4 - 7/510*z**5 + 0*z**3 - 41*z**2 + 0*z - 1/1020*z**6. Factor m(s).
-2*s*(s + 2)*(s + 5)/17
Suppose -j = -z - 45, -2*z + 8 + 2 = 0. Suppose 23*k = 18*k + j. Factor -42*p**4 + 13*p**4 + 2*p**3 + k*p**2 + 14*p**4 + 6*p + 13*p**4.
-2*p*(p - 3)*(p + 1)**2
Let d(p) = p**3 + p**2 - p + 1. Let q(m) = -5*m**3 - 15*m**2 + 34*m + 10. Let c = -2 + -4. Let a(h) = c*d(h) - 3*q(h). Find t such that a(t) = 0.
-6, -1/3, 2
Let o(p) be the second derivative of -p**4/36 - 163*p**3/18 - 1763*p. Factor o(n).
-n*(n + 163)/3
Factor 20*x + 5 + 5*x**3 - 1031*x**2 - 5 + 1056*x**2.
5*x*(x + 1)*(x + 4)
Suppose 2214*x**2 + 19 + 221 - 806*x**2 - 785*x**2 - 743*x**2 - 148*x + 28*x**3 = 0. Calculate x.
-12/7, 1, 5
Solve 140*f**2 - 112 + 39*f**3 - 158 - 34*f**3 + 125*f = 0.
-27, -2, 1
Let r = -79321/15 - -15869/3. Let -r*s - 6/5*s**3 + 0 + 12/5*s**5 + 24/5*s**2 - 26/5*s**4 = 0. Calculate s.
-1, 0, 1/2, 2/3, 2
Suppose 13*k - 46 = -10*k. Factor 32*u - 551*u**2 - 556*u**k - 36 + 1111*u**2.
4*(u - 1)*(u + 9)
Let w be -49 + 16796/312 + (-5)/6. Let 1/5*c**5 - 12/5 - 9/5*c**3 + w*c - 1/5*c**2 + 1/5*c**4 = 0. Calculate c.
-3, -2, 1, 2
Let q(f) be the second derivative of -f**5/40 - 29*f**4/3 - 4407*f**3/4 + 13689*f**2/2 + 7*f - 30. Factor q(g).
-(g - 2)*(g + 117)**2/2
Factor 28/3*z**2 + 4/3*z**4 + 20/3*z**3 + 0 + 4*z.
4*z*(z + 1)**2*(z + 3)/3
Let q(o) = -427*o + 65. Let z be q(-5). Let t = z + -19786/9. Factor 4/3 + t*i + 2/9*i**2