. Solve x(t) = 0 for t.
-3, 1, 48
Let a(s) = 6*s**2 - 2*s + 1. Let t be a(1). Suppose 0 = -2*l + 13 - t. Find z, given that -z**4 + 5*z**4 - 7*z**4 - z**l = 0.
0
Suppose -1485*c + 36*c + 1922 = 484*c - 1944. What is m in -13/6*m + 7/6*m**5 - 1 + 16/3*m**c + m**3 - 13/3*m**4 = 0?
-1, -2/7, 1, 3
Factor 0*d - 1/3*d**2 - 104/3*d**4 - 103/6*d**5 - 107/6*d**3 + 0.
-d**2*(d + 1)**2*(103*d + 2)/6
Let h(p) = p**2 + p + 2. Let i be h(-2). Let t be (-890)/(-25) - 161/(-115). Factor -t*y - 2*y**3 + 37*y + i*y**2.
-2*y**2*(y - 2)
Let p(d) be the third derivative of d**6/225 - 49*d**5/450 - 61*d**4/60 - 4858*d**2. Determine w so that p(w) = 0.
-3, 0, 61/4
Let a = 193 - 124. Let v = 125 - a. Determine c, given that -v*c**3 + 12*c**4 + 53*c**3 - 12*c**2 - 24*c**2 - 6 + 33*c = 0.
-2, 1/4, 1
Let p(t) be the first derivative of -t**4/8 + t**3/6 + 29*t**2/2 - 56*t + 1527. Find y, given that p(y) = 0.
-8, 2, 7
Let k(f) = 5*f**2 - 37*f - 30. Let j(u) be the second derivative of u**4/6 - 13*u**3/6 - 5*u**2 + 3*u - 11. Let l(y) = -8*j(y) + 3*k(y). What is q in l(q) = 0?
-5, -2
Let q be (-2)/(-34)*2 + 36686/7514. Factor 0*o**2 + 0*o - 1/2*o**4 + 0 + 0*o**3 + 1/2*o**q.
o**4*(o - 1)/2
Let k be ((-172)/(-24))/(82/28). Let l = k - -9/41. Suppose -154/3*y**3 - l*y + 24*y**4 - 24*y**2 + 54*y**5 + 0 = 0. Calculate y.
-1, -2/9, 0, 1
Let m = 365/18 - 1819/90. Let q(x) be the third derivative of 0*x - m*x**6 - 4/3*x**4 - 12*x**2 + x**3 + 17/30*x**5 + 0. What is o in q(o) = 0?
1/4, 1, 3
Let u(s) be the first derivative of -3/4*s**4 - 129/2*s**2 - 19 + 23*s**3 + 63*s. Factor u(t).
-3*(t - 21)*(t - 1)**2
Find z such that 4/23*z**4 - 30/23*z + 100/23 + 30/23*z**3 - 104/23*z**2 = 0.
-10, -1, 1, 5/2
Suppose -61 = -259*o + 524*o - 278*o - 9. Factor -4*x**3 - 32/5*x**2 - 2/5*x**o + 0*x + 0.
-2*x**2*(x + 2)*(x + 8)/5
Suppose -16 = -44*s + 47*s - 4*p, 2*p - 14 = 0. Let r(i) be the second derivative of -i + 0 + 0*i**3 + 0*i**2 - 1/80*i**5 - 1/24*i**s. Factor r(y).
-y**2*(y + 2)/4
Let q(u) be the third derivative of u**8/84 - 2*u**7/35 - u**6/15 + 2*u**5/5 + u**4/6 - 2*u**3 - 135*u**2 + u. Suppose q(l) = 0. Calculate l.
-1, 1, 3
Suppose 1500 + 65*h**2 + 1/2*h**3 + 1225/2*h = 0. What is h?
-120, -5
Suppose 1472 = 16*z + 240. Let y be z/98 - 2/4. Find s, given that -y*s**2 + 4/7*s + 0 = 0.
0, 2
Let d(n) = -n**4 + 7*n**3 + 3*n**2 - 9*n. Let i(v) = -v**4 + v**3. Let c be 140/(-98) - (-8)/(-14). Let l(t) = c*i(t) - d(t). Suppose l(r) = 0. Calculate r.
-1, 0, 1, 3
Let o be -3 + 8 - (-2 + 2). Factor -10*q**5 - 2349*q - 1944 + 12*q**4 - 126*q**3 + 25*q**5 - 6*q**5 - 972*q**2 - 6*q**o.
3*(q - 8)*(q + 3)**4
Let r = -4140317/3 - -1380106. Let o be 1*-2*(-1)/3. Suppose 4/3*d**2 + 2/3*d**3 - 2/3 - o*d**4 - r*d - 1/3*d**5 = 0. Calculate d.
-2, -1, 1
Let k(d) be the second derivative of -d**5/160 - 75*d**4/32 - 266*d**3 - 784*d**2 + 13090*d. Factor k(q).
-(q + 1)*(q + 112)**2/8
Let a(o) = 2*o**4 + 2*o**2 - 4*o - 1. Let t(z) = 5*z**5 + 67*z**4 + 360*z**3 + 702*z**2 + 612*z + 149. Let b(s) = 5*a(s) + t(s). Factor b(m).
(m + 2)**3*(m + 9)*(5*m + 2)
Let a = -28 + 20. Let q(t) = -3*t**2 - 36*t - 105. Let d(g) = -9*g**2 - 108*g - 316. Let m(v) = a*q(v) + 3*d(v). Determine x, given that m(x) = 0.
-6
Factor -943938*p**2 - 8/9 + 1832*p.
-2*(2061*p - 2)**2/9
Suppose -235 = -179*j + 302. Let 0 - 4/7*l**2 + 1/7*l**j + 0*l = 0. What is l?
0, 4
Let o be 52/5 + 2/(-5). Let r(q) = -2*q**2 + 46*q - 137. Let h be r(19). Factor 2*a**4 + o*a**3 - 7*a**4 - h*a**3.
-5*a**3*(a + 1)
Let h(n) be the second derivative of n**5/20 + 73*n**4/12 + 35*n**3 + n + 55. Suppose h(q) = 0. Calculate q.
-70, -3, 0
Let a = 40890 + -286228/7. Let j(y) be the first derivative of -2/21*y**3 + a*y + 30 + 0*y**2. Let j(s) = 0. What is s?
-1, 1
Let b = 1371 + -1379. Let v be ((-5)/b)/(90/756). Determine n, given that 12*n - v*n**2 - 3 = 0.
2/7, 2
Let r(n) = 14*n**2 - 46*n + 36. Let o = -88 + 83. Let x(q) = -q**3 - q**2 - 2*q. Let p(h) = o*r(h) - 5*x(h). Find w such that p(w) = 0.
1, 6
Suppose 0 = k - 3*d - 0*d - 21, -87 = -5*k - 3*d. Let -23*z**2 - 2*z**3 + 9*z**2 - k*z + 2*z**2 = 0. Calculate z.
-3, 0
Let x = 165909 + -165905. Factor 12*w**2 + 13/3 - 38/3*w - 1/3*w**x - 10/3*w**3.
-(w - 1)**3*(w + 13)/3
Let s be -7 + 59416/7917 - (-4)/(-58). Let v = -4/39 + s. Determine c so that v*c + 0 + 4/3*c**2 = 0.
-1/4, 0
Let f(v) be the first derivative of 1/4*v**4 - 2/3*v**2 - 1/30*v**5 - 1/36*v**6 + 0*v + 2/9*v**3 + 202. What is c in f(c) = 0?
-2, 0, 1, 2
Let a = 4783 + -100417/21. Let s(c) be the first derivative of -8/7*c + 4/7*c**2 + 5/14*c**4 + a*c**3 + 5. Factor s(l).
2*(l + 1)*(l + 2)*(5*l - 2)/7
Let c(v) be the third derivative of -3/2*v**4 + 14 - v**2 - 27/140*v**5 + 7/2*v**3 - 1/140*v**6 + 0*v. Factor c(p).
-3*(p + 7)**2*(2*p - 1)/7
Let h(r) be the first derivative of 0*r + 150 + 1/26*r**4 - 2/39*r**3 - 2/13*r**2. Factor h(x).
2*x*(x - 2)*(x + 1)/13
Let d(c) be the third derivative of c**6/780 + 19*c**5/390 - 16*c**4/39 + 44*c**3/39 - 668*c**2. Factor d(f).
2*(f - 2)*(f - 1)*(f + 22)/13
Suppose 29*q = 26*q + 2*j - 747, -j + 1252 = -5*q. Let a = q + 251. Solve 50/11*d - 20/11*d**2 + a + 2/11*d**3 = 0.
0, 5
Find c such that 5*c**4 + 120*c**3 - 14*c**4 + 22*c**3 + 13*c**3 + 14*c**4 - 330*c**2 = 0.
-33, 0, 2
Let f(v) be the second derivative of v**6/225 + v**5/50 - 4*v**4/45 - 4*v**3/15 + 16*v**2/15 + 3267*v. Determine n so that f(n) = 0.
-4, -2, 1, 2
Let k = 5824 + -5821. Let p(b) be the second derivative of 3*b**2 + 9/4*b**4 + 0 - 17*b + 11/2*b**k. Suppose p(d) = 0. Calculate d.
-1, -2/9
Let i = -463759 - -927519/2. Suppose -1/6*u - 1/6 + 5/6*u**2 - i*u**3 = 0. Calculate u.
-1/3, 1
Factor 1519 + 2*s**3 + 1203*s - 2*s**3 - s**3 + 1521*s**2 - 4242*s.
-(s - 1519)*(s - 1)**2
Suppose 191*s - 46*s = -235*s + 37*s. Let h(b) be the third derivative of s*b + 0*b**3 + 1/20*b**5 + 0 - 2*b**2 + 5/4*b**4. Factor h(k).
3*k*(k + 10)
What is g in -40/3*g**4 + 28/9*g**5 + 116/9*g**3 + 32/9 - 16*g + 88/9*g**2 = 0?
-1, 2/7, 1, 2
Let s(v) = -31*v**2 - 172*v - 655. Let k(r) = -13*r**2 - 85*r - 328. Let i(b) = -5*k(b) + 2*s(b). Suppose i(q) = 0. Calculate q.
-22, -5
Let r(a) be the third derivative of 1/108*a**4 - 2/945*a**7 - 1/540*a**6 + 0*a + 1/135*a**5 - 3*a**2 + 0*a**3 + 0. Find i, given that r(i) = 0.
-1, -1/2, 0, 1
Suppose -2*y - 6 - 11 = 5*d, -d = 5*y - 15. Let q**3 + q**5 - 6*q**2 - 19*q**4 - 2*q**5 - 8*q**y + 33*q**4 = 0. What is q?
-1, 0, 1, 6
Solve 6*l**4 + 432 + 94*l**3 + 1266*l + 404*l**2 + 33*l**2 + 55*l**2 - 330*l + 0*l**4 = 0 for l.
-6, -3, -2/3
Let q = 40 - 31. Suppose 13 = x - 1. Factor 3*f - 21 - 38*f + 87*f + x*f - q*f**2.
-3*(f - 7)*(3*f - 1)
Let y(j) be the first derivative of 2/21*j**3 - 8/7*j**2 + 38 + 1/70*j**5 + 46*j + 5/42*j**4. Let a(i) be the first derivative of y(i). Factor a(f).
2*(f - 1)*(f + 2)*(f + 4)/7
Let g be 540/243 + 2060/450. Factor 16/5 - g*k + 4*k**2 - 2/5*k**3.
-2*(k - 8)*(k - 1)**2/5
Find x, given that -32/7*x**3 - 100/7 - 4/7*x**4 + 160/7*x - 24/7*x**2 = 0.
-5, 1
Factor 121*f**2 - 326*f**2 + 25*f**3 - 270 - 221*f**2 - 214*f**2 - 935*f.
5*(f - 27)*(f + 1)*(5*f + 2)
Let x(f) = 9*f**2 - 381*f - 4144. Let c be x(-9). Factor -c*d**2 + 25 + 20/3*d + 4*d**3 - 1/3*d**4.
-(d - 5)**2*(d - 3)*(d + 1)/3
Let j(i) be the third derivative of -i**10/120960 + i**8/26880 - 21*i**4/8 + 6*i**2 - 6*i. Let s(g) be the second derivative of j(g). Factor s(l).
-l**3*(l - 1)*(l + 1)/4
Let k(u) = 28*u**2 - 490*u + 985. Let s(i) = -13*i**2 + 245*i - 490. Let p(f) = -4*k(f) - 9*s(f). Factor p(t).
5*(t - 47)*(t - 2)
Let v(g) = -10*g**2 + 209*g + 69. Let o(l) = 32*l**2 - 626*l - 230. Let m(c) = -3*o(c) - 10*v(c). Factor m(a).
4*a*(a - 53)
Factor 6*z**4 + 913*z**3 + 1369202325*z + 299020531*z + 510*z**3 + 3321*z**3 - 247314038402 - 8*z**4 - 4219788*z**2.
-2*(z - 593)**4
Let y be 167 - 4 - -14 - 0/2. Let -228*x - 67*x**2 + 274*x**2 - 3*x**3 + 201 - y*x = 0. What is x?
1, 67
Suppose -4*r + 9 = -h, -2*r - 2 - 7 = -5*h. Factor 7*j**3 + 701 + 16*j**r - 3*j**3 - 35*j**2 - 716 - 70*j.
5*(j - 3)*(j + 1)*(4*j + 1)
Let t(z) be the first derivative of -15 - 1/120*z**5 + 0*z + 0*z**4 + 1/12*z**3 + 3*z**2. Let b(d) be the second derivative of t(d). What is l in b(l) = 0?
-1, 1
Let o(d) = -3021*d + 123863. Let s be o(41). Factor -2/3*f**3 + 0*f**2 - 4/3 + s*f.
-2*(