tor -7/6*q**3 + 13/3*q**2 - 4/3 - f*q.
-(q - 2)**2*(7*q + 2)/6
Factor 12/11*z + 8/11*z**3 + 1/11*z**4 + 0 + 19/11*z**2.
z*(z + 1)*(z + 3)*(z + 4)/11
Let t(f) be the second derivative of f**6/20 + 33*f**5/8 + 363*f**4/4 - 224*f**3 - 1176*f**2 + 876*f. What is r in t(r) = 0?
-28, -1, 2
Let q(x) be the first derivative of 5*x**4/4 + 20*x**3/3 + 25*x**2/2 + 10*x + 312. Factor q(h).
5*(h + 1)**2*(h + 2)
Let u(x) be the first derivative of 4 - 8/5*x**5 + 3/2*x**4 + 8/3*x**3 + 0*x + 1/3*x**6 - 4*x**2. Factor u(o).
2*o*(o - 2)**2*(o - 1)*(o + 1)
Let h be -2*2*1/(-13)*(-2080)/(-320). Factor 1/4*w**h + 0 - 3/4*w.
w*(w - 3)/4
Let m(h) be the second derivative of -h**6/15 + 4*h**5/5 + 13*h**4/3 - 56*h**3 - 441*h**2 + 185*h + 2. Factor m(b).
-2*(b - 7)**2*(b + 3)**2
Suppose -160 = -8*b + 6*b. Suppose -b*d = -79*d - 3. What is k in 3/4 + 3/4*k**4 + 3*k**3 + d*k + 9/2*k**2 = 0?
-1
Let k(v) = -v**2 + 4*v + 20. Let n be k(0). Let z be (28/(-3))/(-4)*n/70. Determine o so that -5/3*o**2 + 0 - z*o - 1/3*o**4 - 4/3*o**3 = 0.
-2, -1, 0
Let x(z) be the first derivative of 1/3*z**4 + 7*z + 10 - 10*z**2 - 8/3*z**3. Let v(c) be the first derivative of x(c). Determine l so that v(l) = 0.
-1, 5
Let p(o) = 3*o**2 - 2*o - 3. Let i = 106 - 107. Let h be p(i). Factor 1/3*c**4 + 0 + 0*c + 1/3*c**h + 2/3*c**3.
c**2*(c + 1)**2/3
Suppose 3*p - 8 = -0*b - 2*b, 2*p = -2*b + 8. Let s(a) = a**3 - 6*a**2 + 7*a + 10. Let u be s(b). Determine q so that -2*q**3 + 2 - u*q - 15/2*q**2 = 0.
-2, 1/4
Let r(t) be the first derivative of -3*t**4/8 - t**3 + 3*t**2/4 + 3*t - 144. Factor r(g).
-3*(g - 1)*(g + 1)*(g + 2)/2
Let m(b) = -2*b**2 - 14*b - 17. Let l be m(-5). Factor 47*f - 31*f**3 - f**l - 23*f**3 - 20 + 73*f - 45*f**2.
-5*(f - 1)*(f + 2)*(11*f - 2)
Factor 7/2*t + 1/4*t**2 - 15/4.
(t - 1)*(t + 15)/4
Let t = 18053/30105 - -2/6021. Factor 1/5*u + 3/5*u**2 + t*u**3 + 1/5*u**4 + 0.
u*(u + 1)**3/5
Let s = 56 - 42. Suppose -s*j = 35 - 63. Factor -1/3*o**j + 1/3 + 0*o.
-(o - 1)*(o + 1)/3
Solve -37*y - 8 - 10*y**2 - 19*y + 72*y + 2*y**3 = 0 for y.
1, 2
Let m(f) be the first derivative of -f**6/60 + 11*f**5/40 - 3*f**4/2 + 4*f**3/3 + 16*f**2 + 21*f + 4. Let s(y) be the first derivative of m(y). Factor s(o).
-(o - 4)**3*(o + 1)/2
Let y(j) be the third derivative of -j**8/2352 + j**7/147 - j**6/35 + 11*j**5/210 - j**4/24 - j**2 + 280. Factor y(p).
-p*(p - 7)*(p - 1)**3/7
Let m be -4 - (9 + (-78)/6). Solve 8/3*b + 2/3*b**3 - 8/3*b**2 + m = 0 for b.
0, 2
Let t(j) be the second derivative of 1/2*j**4 + 1/2*j**3 - 3/2*j**2 - 3/10*j**5 - 1/10*j**6 + 1/14*j**7 + 0 - 7*j. What is o in t(o) = 0?
-1, 1
Let y(l) = 9*l**4 - 63*l**2 + 90*l - 36. Let c(t) = 26*t**4 + t**3 - 188*t**2 + 269*t - 108. Let q(x) = -6*c(x) + 17*y(x). Factor q(b).
-3*(b - 2)*(b - 1)**2*(b + 6)
Suppose -78 = y - 80. Let 7/9*r**y + 2/9*r**3 - 1/3 + 2/9*r = 0. Calculate r.
-3, -1, 1/2
Let n(r) = -46*r**2 - 736*r + 2. Let w be n(-16). Suppose 0*m - 2/5*m**w + 2/5 = 0. What is m?
-1, 1
Find s such that 2/13*s**3 - 2/13 + 2/13*s**2 - 2/13*s = 0.
-1, 1
Factor 64516/3 - 508/3*u + 1/3*u**2.
(u - 254)**2/3
Let y(l) be the first derivative of -5*l**4/4 - 25*l**3/3 - 20*l**2 - 20*l - 81. Find s such that y(s) = 0.
-2, -1
Let d(p) be the third derivative of p**7/840 + p**6/480 - p**5/240 - p**4/96 - p**2 - 3. Factor d(y).
y*(y - 1)*(y + 1)**2/4
Determine g so that -23*g - 18 + 15*g**2 + 15*g**3 - 101*g**4 + 104*g**4 + 8*g = 0.
-3, -2, -1, 1
Let c(z) be the first derivative of -1/3*z**3 + 12*z**2 + 15 - 144*z. Factor c(f).
-(f - 12)**2
Let g(q) be the second derivative of -q**4/60 - 11*q**3/30 + 6*q**2/5 + 121*q. Find c such that g(c) = 0.
-12, 1
Let z(u) be the third derivative of -u**7/120 + 29*u**6/240 - 121*u**5/240 + 5*u**4/16 - 84*u**2. Let z(w) = 0. Calculate w.
0, 2/7, 3, 5
Let a(g) = 148*g**3 + 4*g - 148*g**3 + 8*g**4 - 8*g**2. Let u = 4 + -5. Let t(w) = w**4 + w**3 - w**2. Let b(d) = u*a(d) + 4*t(d). Factor b(r).
-4*r*(r - 1)**2*(r + 1)
Suppose 3*o - 23 - 1 = 0. Factor 2*b**4 + 4*b**4 - b**2 - 3*b**4 + 6*b - o*b**2.
3*b*(b - 1)**2*(b + 2)
Let c(m) be the third derivative of -m**7/840 - m**6/240 + m**5/10 + 25*m**4/48 + 25*m**3/24 + 4*m**2 + 72*m. Let c(j) = 0. Calculate j.
-5, -1, 5
Let q(w) be the first derivative of 12 - 4*w**3 + 10*w**3 - 7*w**3 - 3*w - 3*w**2. Let q(p) = 0. Calculate p.
-1
Let h(k) be the first derivative of -196*k**6/3 - 1148*k**5/5 + 41*k**4 + 224*k**3/3 - 24*k**2 + 402. Find o such that h(o) = 0.
-3, -1/2, 0, 2/7
Let y(b) be the first derivative of b**6/60 + b**5/30 - 5*b**2/2 + 2. Let u(w) be the second derivative of y(w). Factor u(d).
2*d**2*(d + 1)
Let r(k) be the second derivative of 2*k - 10/3*k**4 + 0*k**2 + 19*k**5 + 175/6*k**7 + 0*k**3 + 0 - 119/3*k**6. Factor r(m).
5*m**2*(5*m - 2)*(7*m - 2)**2
Let n(l) be the second derivative of -13/2*l**4 - 1/10*l**5 + 0 - 169*l**3 - 2197*l**2 - l. Factor n(s).
-2*(s + 13)**3
Let w(j) = -j**4 - 33*j**3 - 14*j**2 + 108*j - 60. Let c(p) = p**4 + 17*p**3 + 7*p**2 - 55*p + 30. Let v(l) = -5*c(l) - 2*w(l). Find x, given that v(x) = 0.
-5, -3, 2/3, 1
Let u(t) be the first derivative of -2*t**3/21 - 31*t**2/7 - 60*t/7 + 98. Find z such that u(z) = 0.
-30, -1
Let p be ((-3)/63)/((-424)/6678). Solve -1/4*v**3 + 0*v - p*v**2 + 0 = 0 for v.
-3, 0
Suppose -22 + 36 + 2*p - 2*p**2 - 2 = 0. Calculate p.
-2, 3
Suppose -12*m**3 + 56*m**4 - 130*m**4 + 62*m**4 - 4*m**2 - 4*m**5 = 0. Calculate m.
-1, 0
Let w(x) be the first derivative of 7*x**3/2 + 72*x**2 - 42*x - 70. What is t in w(t) = 0?
-14, 2/7
Factor 39/4*m**4 + 0*m + 9/4*m**5 + 3*m**2 + 12*m**3 + 0.
3*m**2*(m + 2)**2*(3*m + 1)/4
Let h(a) be the second derivative of 8/11*a**2 + 1/231*a**7 - 1/22*a**5 + 4/33*a**3 + 2/165*a**6 - 5/33*a**4 - 5*a + 0. Solve h(i) = 0.
-2, -1, 1, 2
Let o = -116 + 118. Let z be o/(-7) + (165/42)/5. Factor -z*h - 1/4*h**2 + 1/4*h**3 + 0.
h*(h - 2)*(h + 1)/4
Let p(m) be the first derivative of 4*m**5/25 + 2*m**4/5 - 4*m**3/3 - 12*m**2/5 + 37. Find n such that p(n) = 0.
-3, -1, 0, 2
Let k(c) be the second derivative of 32*c - 5/6*c**4 - 5/4*c**5 + 0*c**3 - 2/3*c**6 + 0 + 0*c**2 - 5/42*c**7. Solve k(a) = 0.
-2, -1, 0
Let g be 2/((-132)/(-11)) + (-11)/(-6). Solve -15/7*m + 3/7*m**g + 18/7 = 0 for m.
2, 3
Let l(n) be the second derivative of -2/39*n**4 - 33*n - 2/195*n**6 - 1/39*n**3 - 1/26*n**5 + 0*n**2 + 0. Let l(j) = 0. Calculate j.
-1, -1/2, 0
Let f = -623 - -1261/2. What is p in -3/4*p**3 + 33/4*p - f*p**5 - 57/4*p**4 + 3/2 + 51/4*p**2 = 0?
-1, -1/2, -2/5, 1
Let b(t) be the first derivative of t + 1/12*t**3 + t**2 + 22 - 1/24*t**6 - 7/16*t**4 - 1/4*t**5. Let b(c) = 0. Calculate c.
-2, -1, 1
Factor 15/7*o**2 + 0 - 6/7*o + 3*o**3.
3*o*(o + 1)*(7*o - 2)/7
Let r = 2134 + -6386/3. Let 12*c**2 + r*c**3 + 8/3*c - 20*c**4 + 0 = 0. What is c?
-2/5, -1/3, 0, 1
Factor 5*n**2 + 14*n - 4*n - 10*n**2 + 75.
-5*(n - 5)*(n + 3)
Let f(v) = -24*v**2 + 84*v - 66. Let w(h) = -h**3 - 20*h**2 + 85*h - 68. Let j(d) = 2*f(d) - 3*w(d). Suppose j(c) = 0. What is c?
-8, 1, 3
Let g be (-8 - (-5 - -1))*-2*(-5)/(-20). Factor -1/2*f**3 + 1/6*f**4 + 2*f - 4/3 - 1/3*f**g.
(f - 2)**2*(f - 1)*(f + 2)/6
Let a(x) be the second derivative of -509*x**4/24 + x**3/6 - 575*x. Solve a(m) = 0.
0, 2/509
Let u = -142 - -141. Let q be 10*(u/2)/(-4 - -3). Suppose -1/2*p + 1/2*p**4 + 1/6*p**q - 1/3*p**2 - 1/6 + 1/3*p**3 = 0. Calculate p.
-1, 1
Let k = 155 - 4. Let u = -148 + k. Solve 2/7*a**4 + 8/7*a**u + 10/7*a**2 + 4/7*a + 0 = 0.
-2, -1, 0
Let a(f) be the third derivative of f**7/504 + f**6/9 + 8*f**5/3 - 25*f**4/24 - 43*f**2. Let m(j) be the second derivative of a(j). Factor m(i).
5*(i + 8)**2
Let m be (18*-2)/(18/(-12)). Factor -d**3 - 12*d + 10*d**3 + 27*d**4 - m*d**4.
3*d*(d - 1)*(d + 2)**2
Let j(y) = y + 2. Let q be j(2). Factor -4*u**2 - 3*u**5 + 3*u + 3*u**4 + u**q + 8*u**5 - 6*u**5 - 2*u**3.
-u*(u - 3)*(u - 1)**2*(u + 1)
Suppose -3*v = -40 + 10. Let u(r) = r. Let f be u(v). Factor 2*c + 17/2*c**3 + 0 + 2*c**4 + f*c**2.
c*(c + 2)**2*(4*c + 1)/2
Let z be (-2384)/(-1341)*(-6)/(-56). Factor -2/21*b**3 + 0*b + z*b**2 + 0.
-2*b**2*(b - 2)/21
Let l(k) be the second derivative of -k**7/420 - k**6/30 - 3*k**5/20 - k**4/3 + 9*k**3/2 + 6*k. Let v(b) be the second derivative of l(b). Factor v(g).
-2*(g + 1)**2*(g + 4)
Let d be (-5)/(-1) + (-10 - (-7 + 0