or p(f).
-5*(f - 10)*(f + 1)
Let q(x) = -9*x**3 - 61*x**2 + 110*x - 62. Let k(a) = -a**3 - 3*a**2 + 2. Let v(y) = -22*k(y) + 2*q(y). Determine s, given that v(s) = 0.
1, 6, 7
Let h be (-1224)/(-340) - (-2)/5. Let t(m) be the first derivative of 0*m + 4/3*m**3 - 1/2*m**h + 44 + 3*m**2. Factor t(o).
-2*o*(o - 3)*(o + 1)
Let n(s) be the first derivative of -8/7*s + 26/7*s**2 - 25 + 128/21*s**3 + 17/7*s**4. Factor n(d).
4*(d + 1)**2*(17*d - 2)/7
Let m = 1 - 4. Let y(b) = b**4 - b**2 + 1. Let f(r) = -2*r**3 + 2*r + 1. Let z(i) = m*f(i) + 3*y(i). Let z(g) = 0. What is g?
-2, -1, 0, 1
Factor a + 12 - 1/2*a**2.
-(a - 6)*(a + 4)/2
Let p(k) be the first derivative of 2*k**3/39 + 1604*k**2/13 + 1286408*k/13 - 172. Determine n, given that p(n) = 0.
-802
What is l in -48/5*l**2 - 202/5*l**4 - 242/5*l**3 - 8/5*l**5 + 0 + 0*l = 0?
-24, -1, -1/4, 0
Suppose 1184159 - 310380 + 830798 + 5*m**2 + 5370*m - 262732 = 0. What is m?
-537
Suppose -3*f + 5 = -1. Let n be 2 + -3 + (5 + -10 - (-75)/2). Let -8*h**4 + 32*h**3 - n*h**f - 2*h + 2 = 0. What is h?
-1/4, 1/4, 2
Let u(w) = w**3 + 17*w - 42. Let q(x) = 3*x**3 + x**2 + 28*x - 84. Let p(o) = 2*q(o) - 5*u(o). Factor p(f).
(f - 3)*(f - 2)*(f + 7)
Let s = -46011 + 180305/4. Let z = s - -935. Find c such that -c**3 - z*c**4 - 3/2*c**2 - 1/4 - c = 0.
-1
Let q(g) be the second derivative of g**5/5 - 53*g**4 + 4160*g**3 + 12800*g**2 + 396*g. Find u, given that q(u) = 0.
-1, 80
Let j be (-33)/(-474 - -45)*117. Suppose -1/3*f**4 + 11/3*f**3 + 25/3*f - j*f**2 - 8/3 = 0. What is f?
1, 8
Let f(b) be the first derivative of -25/2*b**2 + 0*b**3 + 0*b - 1/30*b**5 + 0*b**4 - 18. Let h(o) be the second derivative of f(o). Factor h(g).
-2*g**2
Factor -42135/2 - 1595/6*z**2 + 42665/2*z + 5/6*z**3.
5*(z - 159)**2*(z - 1)/6
Factor 50*g**3 - 142*g - 270*g - 40 + 31*g**3 - 5*g**3 + 0*g**3 - 296*g**2.
4*(g - 5)*(g + 1)*(19*g + 2)
Let m(a) be the first derivative of 28*a**3/15 + 1217*a**2/5 - 174*a/5 + 2535. Solve m(w) = 0.
-87, 1/14
Let w(l) be the first derivative of 125*l**6/3 + 170*l**5 - 2555*l**4 - 52972*l**3/3 - 16967*l**2 + 96026*l + 2322. Determine r so that w(r) = 0.
-19/5, 1, 7
Let f(s) be the first derivative of s**2/2 + 29*s - 15. Let u be f(-13). Factor 3*d**3 + 5*d**4 + u*d**3 - 4*d**3 + d - 21*d.
5*d*(d - 1)*(d + 2)**2
Let r(f) be the first derivative of -f**3/15 + 18*f**2/5 + 32*f + 3990. Find u, given that r(u) = 0.
-4, 40
Let k(g) = -11*g**4 - 36*g**3 - 179*g**2 - 228*g - 98. Let z(h) = 2*h**4 - h**3 + 1. Let w(x) = k(x) + 6*z(x). Factor w(q).
(q - 46)*(q + 1)**2*(q + 2)
Let w(x) = x**2 + 2*x - 3. Let h(o) = 7*o**2 + 362*o + 15473. Let l = -909 - -910. Let v(m) = l*h(m) - 5*w(m). Factor v(a).
2*(a + 88)**2
Determine j so that -2/9*j**2 + 532/9*j - 35378/9 = 0.
133
Let v(o) = o + 13. Let s be v(-9). Factor 1285 + 6*x**2 - 1287 - s*x**2.
2*(x - 1)*(x + 1)
Factor 1/5*d**2 + 21*d + 0.
d*(d + 105)/5
Let x(z) be the third derivative of z**6/24 + 5*z**5/6 - 65*z**4/8 - 963*z**2. Suppose x(i) = 0. Calculate i.
-13, 0, 3
Let d(w) be the third derivative of -w**5/75 + 8*w**4/3 + 328*w**3/15 - w**2 + 409*w. Factor d(u).
-4*(u - 82)*(u + 2)/5
Find o such that -304*o - 70*o**2 + 20*o**3 + 449846*o**4 - 449824*o**4 + 22*o**3 + 2*o**5 - 96 + 116*o = 0.
-8, -3, -1, 2
Let j(v) be the second derivative of v**7/14 + 3*v**6/5 - 3*v**5/5 - 45*v**4/2 - 189*v**3/2 - 162*v**2 - 6840*v. Suppose j(w) = 0. What is w?
-3, -1, 4
Suppose a = -5*s + 13, -5*s + 18 + 4 = 4*a. Let p be -2*a*(-3)/6. Factor -3*o**2 - o**5 - 8*o**3 - 3*o**4 - 2*o**4 - o**2 + 0*o**p.
-o**2*(o + 1)*(o + 2)**2
Let t(u) = u**3 - 41*u**2 + 121*u - 25. Let s(a) = 21*a**2 - 60*a + 15. Let x(l) = -7*s(l) - 3*t(l). Factor x(z).
-3*(z - 1)**2*(z + 10)
Let v be (-156)/(-5) - 3*(-3)/(-45). Find j, given that -6 + 3*j**4 - v*j**3 - 14*j**3 + 54*j**3 - 9*j + 3*j**2 = 0.
-2, -1, 1
Let y be 0 + 4/18 - (-68643)/446472. Let n = y - 2/2067. Factor -n*p**2 - 3/8*p**3 + 3/8 + 3/8*p.
-3*(p - 1)*(p + 1)**2/8
Let u = -36 + 38. Suppose -u*h = -8, -4*q + h + 36 = -2*h. Find l, given that q*l**5 - 90*l**3 - 12*l - 17*l**4 - 69*l**2 + 5*l**4 - 9*l**4 = 0.
-1, -1/4, 0, 4
Let w = 46 + -43. Suppose 7 + 5 = w*q. Let -124*u**3 - 20*u**5 + 76*u**3 + 11*u**2 - 3*u**q + 4*u - 3*u**2 + 59*u**4 = 0. What is u?
-1/5, 0, 1
Let a be ((-8)/((-224)/21))/((-50)/(-80) + 0). Find m, given that -33/5*m + 3*m**4 + a - 51/5*m**3 + 63/5*m**2 = 0.
2/5, 1
Let b(o) = -21*o**2 + 99*o - 15. Let w be 42/35*(-15)/(-9). Let y(m) = -3*m**2 + 14*m - 2. Let n(u) = w*b(u) - 15*y(u). Factor n(d).
3*d*(d - 4)
Let i(h) be the third derivative of h**10/5040 + h**9/3780 - h**8/3360 + 55*h**4/24 + 49*h**2. Let v(c) be the second derivative of i(c). Factor v(d).
2*d**3*(d + 1)*(3*d - 1)
Let w(n) be the third derivative of -n**7/1120 + n**6/480 + 3*n**5/80 - 32*n**3/3 - n**2 - 27*n. Let m(t) be the first derivative of w(t). Solve m(l) = 0 for l.
-2, 0, 3
Let h be 5*(-10)/(-25) - -41. Let l = h - 41. Factor -34*j**3 + 49*j**3 + 18*j**l - 5*j**4 + 2*j**4.
-3*j**2*(j - 6)*(j + 1)
Suppose 0 = -n - 2*n + 21. Suppose -9 = -10*v + n*v. Suppose 9*d**3 - 15*d**v + 8*d**2 - 3*d**4 - 9 + 4*d**4 + 6*d = 0. Calculate d.
-1, 1, 3
Let x(p) be the first derivative of -p**5/5 - 271*p**4/4 - 539*p**3/3 - 269*p**2/2 + 3404. Factor x(k).
-k*(k + 1)**2*(k + 269)
Suppose 5*f - 3*u + 0*u + 48 = 0, -2*u - 68 = 5*f. Let s be ((-4)/f)/(3/99). Factor 8*x - 5*x**2 - 21 + x**3 + 6 + s.
(x - 2)**2*(x - 1)
Factor 3/2*y**3 + 99 - 3/2*y - 99*y**2.
3*(y - 66)*(y - 1)*(y + 1)/2
Let o(y) = -20*y**2 + 40*y + 3. Let k be o(2). Determine u, given that 529*u**4 - 12 + 10 + 586*u**2 - 1597*u**2 - 575*u**k + 91*u = 0.
-1, 1/23, 2
Let q(o) = -2*o - o + 2 - 4 + 3. Let p be q(-19). Determine a, given that p - 64 + 7*a - 3*a + 2*a**2 = 0.
-3, 1
Let z(p) be the third derivative of -p**5/510 + 5*p**4/102 + 77*p**3/17 + 6672*p**2. What is d in z(d) = 0?
-11, 21
Let y(l) be the first derivative of 3*l**4/2 - 71*l**3 - 180*l**2 + 999*l + 1744. Factor y(b).
3*(b - 37)*(b + 3)*(2*b - 3)
Suppose -2/5*v**2 + 36/5 - 6/5*v = 0. What is v?
-6, 3
Factor -414*i**2 + 314*i**2 - 38*i + 2*i**3 - 314*i - 336 - 6*i**3.
-4*(i + 2)**2*(i + 21)
Let l = 0 - -2. Let h(x) = 5*x - 11. Let u be h(3). Factor j**l + 605*j**4 - 607*j**u - j**2.
-2*j**4
Suppose -2 = -10*k - 2. Suppose 3*w = -5*x + 27, -3*x + k*x = w - 13. Factor 4*u**2 - 4*u**4 + 7*u - 7*u - 4*u + w*u**3.
-4*u*(u - 1)**2*(u + 1)
Let c = 651 + 2562. Let 14*f**2 - 11*f**3 - 3214*f**4 - 13*f + c*f**4 + 11*f**2 = 0. What is f?
-13, 0, 1
Factor 7*o**2 - 5*o**3 + 5*o - 57 + 87 - 30*o**2 - 7*o**2.
-5*(o - 1)*(o + 1)*(o + 6)
Let r(c) be the first derivative of 5/2*c**4 - 11/2*c**2 + 0*c + 2/3*c**3 - 8 - 7/24*c**5 + 1/72*c**6. Let z(s) be the third derivative of r(s). Factor z(k).
5*(k - 4)*(k - 3)
Factor -4*x**2 + 118*x - 77 - 232 - 323 - 110*x - 332*x.
-4*(x + 2)*(x + 79)
Let l(s) be the first derivative of -s**5/6 + 11*s**4/2 - 277*s**3/18 - 45*s**2/2 + 24*s - 4676. Solve l(a) = 0.
-1, 2/5, 3, 24
Let f(m) be the first derivative of 0*m + 108 + 1/3*m**3 - 2*m**2. Find h, given that f(h) = 0.
0, 4
Let l(y) = -15794*y + 31592. Let g be l(2). Suppose 0 + 12/7*b**3 + 18/7*b**2 + 2/7*b**g + 0*b = 0. What is b?
-3, 0
Let 269*n**2 - 170*n - 540953*n**4 + 541038*n**4 + 42*n**2 + 569*n**3 - 3*n**5 = 0. What is n?
-5, -1, 0, 1/3, 34
Suppose -3*u - 12 = -2*h + 1, 0 = -5*h - 5*u - 5. Let 221 + 585*v + 195 - 1849*v - 268*v**2 + 889*v**2 - 36*v**3 + 363*v**h = 0. Calculate v.
2/3, 26
Let v be -9 + -17 - -29 - (-16)/(-6). Let a(q) be the second derivative of 26*q + 20*q**2 + v*q**4 + 0 + 22/3*q**3. Factor a(g).
4*(g + 1)*(g + 10)
Let -1/5*g**3 + 51/5*g**2 + 0 - 144/5*g = 0. Calculate g.
0, 3, 48
Let w(j) = -4*j**4 + 8*j**3 - 10*j**2 + 12*j. Let x(y) = 7*y**4 - 16*y**3 + 20*y**2 - 22*y. Let v(k) = 11*w(k) + 6*x(k). Determine z so that v(z) = 0.
-5, 0, 1
Suppose -3*g = -2*t - 5, -5*g + 3*g = -4*t + 2. What is j in -42300*j - 8 + t*j**3 + 42300*j + 6*j**2 = 0?
-2, 1
Let i(c) = 3*c**2 - 3. Let n(l) = 17*l**2 + 2364*l - 1397142. Let u(g) = -6*i(g) + n(g). Factor u(o).
-(o - 1182)**2
Let q be 7 + (4011/15 - (11 - 9)). Let c = q - 270. Solve -18/5*t + 24/5*t**3 + c*t**4 - 12/5*t**2 + 0 - 6/5*t**5 = 0 for t.
-1, 0, 1, 3
Let u(l) be the second derivative of l**5/60 - 7*l**4/36 