*x**3 - 4*x**2.
-2*x**2*(x + 1)**2*(7*x + 2)
Factor 40*g - 60*g**2 - g + 32*g + 3*g**3 - 14*g.
3*g*(g - 19)*(g - 1)
Let t(g) = -31*g + 344. Let p be t(11). Let h(w) be the third derivative of 0*w + 6*w**2 + 1/16*w**4 + 1/80*w**6 + 0 + 1/20*w**5 + 0*w**p. Factor h(u).
3*u*(u + 1)**2/2
Let u = 21/52 - -269/364. Let c = 946/3213 + -4/459. Suppose u*q**3 + c*q**4 - 8/7*q**5 + 0 + 0*q - 2/7*q**2 = 0. What is q?
-1, 0, 1/4, 1
Suppose -5*j + 756*k = 758*k - 2, -3*j - 3 = -3*k. Factor -4/5*r**2 + j + 8/5*r.
-4*r*(r - 2)/5
Let x(j) = j**3 - 3*j**2. Let k be x(2). Let c be (2/6)/(k/(-48)). Find t, given that -3*t**3 - 2*t**2 - 4*t**4 - c*t**4 + 4*t**4 + t**5 + 8*t**3 = 0.
0, 1, 2
Let k(i) be the second derivative of i**6/600 - 2*i**5/75 - 19*i**4/120 - i**3/3 - 22*i**2 - 17*i. Let s(p) be the first derivative of k(p). Factor s(l).
(l - 10)*(l + 1)**2/5
Let p = 4297 + -38669/9. Determine o, given that p + 2/9*o**3 - 2/9*o - 4/9*o**2 = 0.
-1, 1, 2
Suppose u + 68 = -2*u - 5*p, -5*u - 92 = 3*p. Let o = -13 - u. Factor 0*w - 1/5*w**o + 3/5*w**2 - 4/5.
-(w - 2)**2*(w + 1)/5
Let v(a) = -a**3 - 2*a**2 + 4*a + 6. Let y be v(-3). Let p = 1 + 0. Let -p + 1 + 8*b**3 - 2*b**3 + y*b**2 - 9*b**4 = 0. What is b?
-1/3, 0, 1
Let d(f) = 6*f**3 - 12*f**2 + 3*f - 3. Let q(r) = -r**3 + r**2 + r + 1. Let z be (-20)/(3 - 7)*-4. Let y = -21 - z. Let j(m) = y*d(m) - 3*q(m). Factor j(b).
-3*b*(b - 2)*(b - 1)
Let -2/11*p - 4/11 + 2/11*p**2 = 0. What is p?
-1, 2
Let h(g) = 5*g**3 + 9*g**2 + 3*g - 11. Let y(o) = -o**3 - 2*o**2 + o. Let l be y(-3). Let n(v) = -v**3 - v**2 - v + 1. Let d(u) = l*n(u) + 2*h(u). Factor d(q).
4*(q - 1)*(q + 2)**2
Let k(a) be the second derivative of -3*a**5/20 - 23*a**4/2 - 286*a**3 - 1452*a**2 - 274*a. Factor k(p).
-3*(p + 2)*(p + 22)**2
Find b such that -506/9*b**2 + 40/3*b - 8/9 + 140/3*b**3 - 98/9*b**4 = 0.
1/7, 2
Let y(r) be the first derivative of r**3/6 + 2*r**2 + 15*r/2 - 267. Solve y(z) = 0.
-5, -3
Suppose 71 = 25*q + 21. Let l be ((-18)/(-15) + -2)*(-30)/84. Factor -l*t**q + 6/7 - 4/7*t.
-2*(t - 1)*(t + 3)/7
Let m(f) = f**3 - 5*f**2 + 5*f + 1. Let a be m(4). Suppose 5*x = -0*x - s + 17, -5*x + 5*s + a = 0. Let 2*q**x + 3*q**2 - 10 + 2 + 7 = 0. What is q?
-1, 1/2
Suppose 5*l = -u + 55, -u = l - 39 - 4. Suppose 4*v + 40 - u = 0. Factor -6/5*x**4 + 18/5*x**5 + v + 0*x - 2/5*x**2 - 2*x**3.
2*x**2*(x - 1)*(3*x + 1)**2/5
Let 23*v**2 - 10 + 23*v**2 - 70*v**2 + 28*v**2 - 39*v = 0. Calculate v.
-1/4, 10
Let b = -49 + 35. Let h be (-4176)/(-22) - b/77. Suppose -8 - h*n**4 - 50*n**5 + 14*n**2 - 278*n**3 + 0 - 208*n**2 - 64*n = 0. What is n?
-1, -2/5
Let m(k) = -k + 1. Let p be m(2). Let c be 3/(-6)*p*(-140)/(-55). Factor 4/11 - 10/11*x - c*x**2.
-2*(x + 1)*(7*x - 2)/11
Factor 0*g - 3/5*g**3 + 0 - 3/5*g**2.
-3*g**2*(g + 1)/5
Let a(o) be the third derivative of o**6/60 - o**5/6 + 39*o**2. Determine q so that a(q) = 0.
0, 5
Let x(l) be the first derivative of -3*l**4/4 - l**3 + 21*l**2 + 72*l - 97. Factor x(f).
-3*(f - 4)*(f + 2)*(f + 3)
Suppose -3*d + 8 = -g - 12, -20 = 4*g. Let l(b) be the third derivative of -1/180*b**d - 1/144*b**4 + 0*b**3 + 0 + 0*b - 1/720*b**6 - 6*b**2. Factor l(n).
-n*(n + 1)**2/6
Let p(y) be the third derivative of 0*y**3 + 0 + 1/105*y**7 + 0*y - 8*y**2 + 1/270*y**6 + 1/216*y**8 + 0*y**5 + 0*y**4. Factor p(w).
2*w**3*(w + 1)*(7*w + 2)/9
Let w be (22/(-7))/(18/(-126)). Determine i, given that -w*i**4 - 10*i**3 - 16*i**4 + 8*i**5 + 56*i**3 - 6*i - 10*i**2 = 0.
-1/4, 0, 1, 3
Let z(k) be the second derivative of 1/15*k**4 - 7/5*k**2 + 0 - 13/15*k**3 + 15*k. Factor z(c).
2*(c - 7)*(2*c + 1)/5
Solve 361 + 1505/4*s**2 + 684*s + 1/4*s**5 - 33/4*s**4 + 179/4*s**3 = 0 for s.
-2, -1, 19
Factor -26/3*k**3 - 9*k - 35/2*k**2 - 1/6.
-(k + 1)**2*(52*k + 1)/6
Let l be -6*(-10)/18*36/(-15). Let b be -3 + 2 + (-12)/l. Factor b + 1/4*v - 1/4*v**2.
-(v - 2)*(v + 1)/4
Factor -4/3*g**3 - 1/3*g**2 + 1/3*g**4 + 4/3*g + 0.
g*(g - 4)*(g - 1)*(g + 1)/3
Let o(t) = 2*t**4 + t**3 - t**2 - t - 1. Let l(k) = -3*k**4 - 2*k**3 + 4*k**2 + 2*k - 1. Let a(v) = -4*l(v) - 4*o(v). Solve a(y) = 0.
-2, -1, 1
Solve 0 - 2/7*x**3 - 2/21*x - 2/7*x**2 - 2/21*x**4 = 0.
-1, 0
Let q(h) be the second derivative of h**5/10 + h**4/3 - 4*h**3/3 - 23*h**2/2 - 2*h. Let t(g) be the first derivative of q(g). Suppose t(a) = 0. What is a?
-2, 2/3
Let n(v) be the third derivative of v**5/20 - 3*v**4/8 - 14*v**3 - 13*v**2 + v. Let n(c) = 0. Calculate c.
-4, 7
Let k be 120/84 - (-12)/21. Let f(b) be the third derivative of 11*b**k + 1/90*b**5 + 0*b**4 - 1/9*b**3 + 0*b + 0. Suppose f(s) = 0. What is s?
-1, 1
Let k(l) be the second derivative of l**6/150 + l**5/50 + 10*l. Factor k(h).
h**3*(h + 2)/5
Suppose 3*r - 2*z = 5*r + 14, 41 = -5*r - 2*z. Let q be 3*(39/r + 2 - -3). Factor 0*h + 0 - 1/2*h**3 + 1/2*h**q.
-h**2*(h - 1)/2
Let h = 15039/2 + -7519. Suppose 0 + 2*d - 4*d**2 - h*d**4 + 5/2*d**3 = 0. What is d?
0, 1, 2
Let l(k) be the third derivative of -k**5/160 + 5*k**4/32 - 25*k**3/16 - 9*k**2 + 6. Factor l(o).
-3*(o - 5)**2/8
Let x(d) be the third derivative of 0*d**3 + 0*d + 0*d**4 + 0 + 0*d**5 + 1/63*d**7 + 3*d**2 + 1/72*d**8 - 1/90*d**6. Factor x(k).
2*k**3*(k + 1)*(7*k - 2)/3
Let i = -11/40 + 3/20. Let a = i + 5/8. Suppose 3/4*m**2 + a - 1/4*m**4 - 1/4*m**3 + 5/4*m = 0. What is m?
-1, 2
Suppose -5*a - 4*u = -7*u, -u = -4*a + 7. Let g(q) = 101*q - 50*q - 52*q - q**3 + q**2. Let m(n) = 3*n. Let h(c) = a*g(c) + m(c). Factor h(v).
-3*v**2*(v - 1)
Factor -2/3*j**3 + 0 - 9800/3*j - 280/3*j**2.
-2*j*(j + 70)**2/3
Factor 104/15*k**2 + 76/15*k**3 + 8/5*k**4 + 22/5*k + 16/15 + 2/15*k**5.
2*(k + 1)**4*(k + 8)/15
Let q(a) be the second derivative of a**6/6 + a**5/4 - 35*a**4/6 - 20*a**3 - 784*a. Factor q(o).
5*o*(o - 4)*(o + 2)*(o + 3)
Let x(u) be the second derivative of -u**5/100 + 7*u**4/60 - u**3/2 + 9*u**2/10 - 4*u + 8. Factor x(g).
-(g - 3)**2*(g - 1)/5
Let l(x) = -x**3 + 17*x**2 - 32*x + 34. Let h be l(15). Factor -z**5 - 10*z - 9*z**3 + 6*z**h + 79*z**2 + 10*z - 75*z**2.
-z**2*(z - 4)*(z - 1)**2
Factor -65/4 + 35/2*y - 5/4*y**2.
-5*(y - 13)*(y - 1)/4
Let v(h) = -h - 2. Let c be v(-4). Let t be (3 - -8)*1 + -1. Factor -6*p**3 - 26*p**3 - 2*p**5 + 20*p**4 - t*p**c + 26*p**2 - 2*p**5.
-4*p**2*(p - 2)**2*(p - 1)
Suppose 2*k + 1 + 5 = 0. Let p be (-1 + (1 - 1))*k. Let -3*o**4 + 3*o**2 + p*o**3 - 4*o**5 - 40 + 40 + o**5 = 0. What is o?
-1, 0, 1
Let w(m) be the third derivative of 7*m**2 - 1/270*m**5 + 1/36*m**4 + 0*m**3 + 0*m + 1/945*m**7 - 1/180*m**6 + 0. Determine c so that w(c) = 0.
-1, 0, 1, 3
Let k(t) = t**2 - t - 37. Let m be k(-6). Suppose s - v = 2*v + 10, 2 = -2*s - 5*v. Factor 4*q**m - 4*q - 8*q**2 + 2*q**5 + 8*q**s - 2*q**5.
4*q*(q - 1)*(q + 1)**3
Let s(n) = -21*n**4 + 24*n**3 - 72*n**2 + 84*n - 15. Let b(p) = -p**4 - p**2 + 2*p. Let o(h) = 18*b(h) - s(h). Factor o(d).
3*(d - 5)*(d - 1)**3
Let m(b) be the first derivative of -27/10*b**2 - 6/5*b + 21 - 4/5*b**3. Solve m(y) = 0.
-2, -1/4
Let m(c) be the third derivative of 1/168*c**7 + 0*c**3 + 5/96*c**4 - 1/48*c**5 + 0 - 1/96*c**6 + 0*c + 20*c**2. Find s, given that m(s) = 0.
-1, 0, 1
Let v be ((-19)/7 + 3)/(12/630*6). Let 1/6*y**4 - v*y**2 + 1/6*y**3 - 5/3 + 23/6*y = 0. Calculate y.
-5, 1, 2
Let a(y) be the first derivative of 1/60*y**6 - 1/10*y - 3/20*y**2 + 3/50*y**5 - 1/15*y**3 + 1/20*y**4 + 10. Suppose a(r) = 0. Calculate r.
-1, 1
Let o be (20 - -4)*-2*-1. Factor -28*f**3 + 0*f - 8 - 3*f + o*f**2 - 4*f - 5*f.
-4*(f - 1)**2*(7*f + 2)
Find x such that -826 - 5*x**4 + 2688*x - 704*x**2 + 2*x**4 + 96*x**3 - 1526 - 232*x**2 = 0.
2, 14
Let h(i) be the third derivative of i**6/40 + i**5/4 - 13*i**4/8 + 7*i**3/2 - 477*i**2. Find d such that h(d) = 0.
-7, 1
Let q(k) = k**2 - 14*k + 38. Let i be q(11). Find s, given that -s**4 - 19/4*s**2 - 7/2*s - 1/8*s**i - 1 - 25/8*s**3 = 0.
-2, -1
Suppose -152 = -3*f - 137. Let d(u) be the second derivative of 1/5*u**f + 0*u**2 + 2*u + 0 - 2/3*u**4 + 2/3*u**3. Factor d(z).
4*z*(z - 1)**2
Factor -873*f + 853*f - 3 + 63 - 5*f**2.
-5*(f - 2)*(f + 6)
Let j(p) be the first derivative of -2*p**5/55 + 10*p**4/11 - 200*p**3/33 - 110. Find n, given that j(n) = 0.
0, 10
Suppose -7*z - 4 = -6*z. Let u be z/(-18) + 32/18. Factor 2*s + 143 - 143 - u*s**2.
-2*s*(s - 1)
Let y = -133499/150 - -890. Let n(r) be the thir