 a(f) be the first derivative of 3*f**4/10 - 172*f**3/15 + 644*f**2/5 - 784*f/5 + 224. Factor a(c).
2*(c - 14)**2*(3*c - 2)/5
Let r(b) be the first derivative of -b**4/32 + 23*b**3/24 - 15*b**2/2 - 18*b - 20. Determine n, given that r(n) = 0.
-1, 12
Let v(s) be the first derivative of s**3/3 + 7*s**2/2 - 8*s - 47. Find o such that v(o) = 0.
-8, 1
Suppose -2*g + 6 = -0*g. Let y be (3 + -4)/(g/(-6)). Factor -9/4*c**4 + 3/4*c**3 - c + 2*c**y + 0.
-c*(c + 1)*(3*c - 2)**2/4
Let r(t) be the second derivative of 5/12*t**3 + 5/84*t**7 - 1/4*t**5 + 0*t**2 + 0 + 0*t**4 - 10*t + 0*t**6. Let r(c) = 0. What is c?
-1, 0, 1
Suppose 0*q - 30 = 2*p + 4*q, -3*q = 2*p + 35. Let i = 27 + p. Determine s so that -s**3 + 4*s**2 + 6*s**2 + 6*s + 3*s**3 - i*s**2 = 0.
-3, -1, 0
Let h(v) be the second derivative of -2*v - 4/63*v**3 + 2/105*v**5 + 1 - 1/21*v**2 + 1/126*v**4. Find x such that h(x) = 0.
-1, -1/4, 1
Let g(o) be the second derivative of 5*o**8/1512 - o**7/135 + o**6/270 - 9*o**2 + 18*o. Let t(j) be the first derivative of g(j). Suppose t(c) = 0. What is c?
0, 2/5, 1
Suppose 5*t = 20, -s + 3*t - t - 14 = 0. Let h(v) = -2*v - 9. Let f be h(s). Factor -6*u**2 - 2*u**2 - 4*u**3 + u**f + 2*u**2.
-3*u**2*(u + 2)
Factor 1903*u + 48*u**3 - 1847*u - 100*u**2 - 1 - 3.
4*(u - 1)**2*(12*u - 1)
Let w(z) be the second derivative of 3*z**5/170 - 107*z**4/102 + 312*z**3/17 + 324*z**2/17 + 107*z. Factor w(f).
2*(f - 18)**2*(3*f + 1)/17
Let c(y) be the first derivative of -y**3/6 + 61*y**2 - 7442*y - 378. Factor c(t).
-(t - 122)**2/2
Let m(n) = 9*n**2 - 11*n + 11. Let c(u) = -3*u + 0*u + 8 + 4*u. Let y be c(-3). Let w(z) = -28*z**2 + 32*z - 32. Let r(f) = y*w(f) + 16*m(f). Factor r(i).
4*(i - 2)**2
Let p = -15 - 11. Let u = 30 + p. Solve 6*m**5 + 2*m**2 - 2*m**u - 7*m**5 + 0*m**3 + m**3 = 0 for m.
-2, -1, 0, 1
Suppose -3*b + 349*s - 12 = 352*s, 0 = 2*b + s. Factor -112*h**3 + 72*h**2 - 98/3*h**b + 0 - 32/3*h.
-2*h*(h + 4)*(7*h - 2)**2/3
Solve 12/7*k + 3/7*k**4 + 0 + 27/7*k**2 + 18/7*k**3 = 0 for k.
-4, -1, 0
Suppose -3*c**4 - 12*c**2 - 65*c**2 + 5*c**2 - 30*c**3 + c**4 - c**4 = 0. What is c?
-6, -4, 0
Let v = -69/62 + 10883/9765. Let x(d) be the third derivative of d**2 + 0*d**5 + 0 - v*d**7 + 1/36*d**4 + 0*d - 1/180*d**6 + 1/18*d**3. Solve x(j) = 0.
-1, 1
Let g be (0/1)/(-77 + 80). Let k(w) be the second derivative of 0*w**3 + 0*w**6 + 1/42*w**7 - 1/20*w**5 + 0 + 0*w**4 + g*w**2 - 3*w. Factor k(i).
i**3*(i - 1)*(i + 1)
Let x(o) be the second derivative of o**7/224 + 13*o**6/480 + 11*o**5/160 + 3*o**4/32 + 2*o**3 - 3*o. Let c(l) be the second derivative of x(l). Factor c(n).
3*(n + 1)**2*(5*n + 3)/4
Let c(r) be the second derivative of -r**4/12 + 13*r**3/6 + 24*r**2 - 166*r. Find k such that c(k) = 0.
-3, 16
Let d = -40 + 44. Solve -2*i**3 + 4*i**2 - i**2 + 3*i**2 - d*i**2 = 0.
0, 1
Suppose 12*m - 24 + 0 = 0. Factor -20*w - 45*w**m - 1 - 30*w**3 + 6 - 5*w**4 - 5.
-5*w*(w + 1)**2*(w + 4)
Let w(m) = 3*m**2 + 11*m - 14. Let p = -110 + 176. Suppose -5*r = -54 - p. Let o(i) = 15*i**2 + 54*i - 69. Let a(f) = r*w(f) - 5*o(f). Factor a(b).
-3*(b - 1)*(b + 3)
Let o(v) = 3*v**4 + v**3 - 9*v**2 + 11*v - 2. Let f(x) = -3 + 1 + 2*x**4 + 5*x - 9*x**2 + 6*x - x + 2*x**3. Let n(d) = -4*f(d) + 3*o(d). Factor n(u).
(u - 2)*(u - 1)**3
Let b = -2 + 2. Find v such that 0*v**3 + 3*v**2 + b*v**3 - 6*v**3 + 3*v**3 = 0.
0, 1
Let m(t) = 6*t - 31. Let j be m(6). Let z be (j - 6)*(-4)/(-84)*-3. Determine y so that 2/7*y - 1/7*y**2 + z*y**4 - 2/7*y**3 + 0 = 0.
-1, 0, 1, 2
Let r(c) be the first derivative of c**5/20 - c**3/6 - 2*c + 31. Let d(k) be the first derivative of r(k). Factor d(m).
m*(m - 1)*(m + 1)
Let w be 2*((-3 - -4) + 0). Factor -u**3 + 2*u**2 - w*u - 3*u**3 - 2*u + 6*u**2.
-4*u*(u - 1)**2
Let l(f) be the first derivative of -4/15*f**3 - 2/5*f**2 + 4/5*f - 16 + 1/5*f**4. Factor l(y).
4*(y - 1)**2*(y + 1)/5
Let w = -65 - -69. Let h(m) be the first derivative of -m**3 - 3/4*m**w + 5 + 0*m + 0*m**2 + 3/5*m**5 + 1/2*m**6. Let h(j) = 0. Calculate j.
-1, 0, 1
Determine z, given that -69/8*z**2 + 9/4*z + 0 + 21/8*z**3 = 0.
0, 2/7, 3
Let o(y) be the first derivative of 0*y**2 + 1/9*y**3 - 23 - 4/3*y. Solve o(q) = 0.
-2, 2
Let b(h) = h**5 + 6*h**4 + 2*h**3 - 2*h**2 - 6*h - 1. Let l(x) = -x**4 + x. Let i = -7 + 4. Let o(v) = i*l(v) - b(v). Factor o(y).
-(y - 1)*(y + 1)**4
Let u be 784/80 - 7 - (-4)/(-5). Factor -50/7*z**3 + 72/7*z - 16/7 - 60/7*z**u.
-2*(z + 2)*(5*z - 2)**2/7
Suppose 0*q - 17*q + 51 = 0. Let t(s) be the second derivative of -4*s + s**2 + 0 + 5/6*s**q + 1/3*s**4 + 1/20*s**5. Factor t(u).
(u + 1)**2*(u + 2)
Find d, given that 4*d**3 - 13/4*d**4 + 0*d + 0 + 3/4*d**2 - 3/2*d**5 = 0.
-3, -1/6, 0, 1
Suppose y = -j - 0*j + 6, 0 = 5*y + 4*j - 29. Suppose 2*m - 4*x - 12 = -0*m, 0 = -y*m + 2*x + 14. Factor -4/9 - 14/9*k**2 - m*k.
-2*(k + 1)*(7*k + 2)/9
Let q(g) be the second derivative of g**5/20 + 55*g**4/12 + 261*g**3/2 + 729*g**2/2 - 2*g + 5. Factor q(r).
(r + 1)*(r + 27)**2
Let p = -2/291 + 68/485. Let d(l) be the third derivative of 0 + 1/60*l**4 - 1/150*l**5 + 0*l + 2*l**2 + p*l**3. Determine k so that d(k) = 0.
-1, 2
Let u(g) be the second derivative of -g**8/1512 + g**6/180 + g**5/135 + 3*g**2/2 - 25*g. Let v(m) be the first derivative of u(m). Let v(l) = 0. What is l?
-1, 0, 2
Let d(i) = -i**3 + 3*i**2 + 11*i - 2. Let s be d(5). Factor -20*b + b**2 - s*b**2 - 62 + 7 + 5.
-2*(b + 5)**2
Let f(n) = -11*n**2 - 2*n + 4. Let l(a) = 2*a**2 - 1. Let d(g) = -f(g) - 5*l(g). Factor d(z).
(z + 1)**2
Suppose 0 = -3*z - q + 4, -2*z - 2*z - 4*q = 0. Let v(x) be the first derivative of -3 + 0*x + 0*x**z - 2/9*x**3 - 1/12*x**4 + 1/15*x**5. Factor v(i).
i**2*(i - 2)*(i + 1)/3
Let l(s) be the third derivative of s**8/30240 + s**7/7560 - s**6/540 - s**5/10 + 14*s**2. Let r(y) be the third derivative of l(y). Factor r(a).
2*(a - 1)*(a + 2)/3
Suppose 19 = -c + 5*i, -c + 3*c = -4*i + 18. Let d be (-175)/(-35) + (-3)/(2 - c). What is x in -2*x**4 - 2/3*x**5 - 2/3*x**2 - d*x**3 + 0 + 0*x = 0?
-1, 0
Let m(a) be the third derivative of 0 + 0*a**6 - 3*a**2 - 1/525*a**7 + 1/30*a**4 + 0*a**3 + 0*a + 1/50*a**5. Factor m(q).
-2*q*(q - 2)*(q + 1)**2/5
Let o = 3346 + -3343. Factor 4/7*l + 2/7*l**o - 1/7 - 5/7*l**2.
(l - 1)**2*(2*l - 1)/7
Let v(o) be the third derivative of -o**8/420 + 4*o**7/525 + o**6/50 - 8*o**5/75 + 2*o**4/15 + 2*o**2 + 31. Solve v(u) = 0.
-2, 0, 1, 2
Suppose -5*f - 3*c - c - 52 = 0, 5*f - c = -37. Let q = f + 12. Suppose -4*j + q*j - 10*j**3 + 14*j**2 - 5*j + j = 0. What is j?
0, 2/5, 1
Factor 2/3*b**5 + 0 + 8/3*b**2 + 10/3*b**4 + 0*b + 16/3*b**3.
2*b**2*(b + 1)*(b + 2)**2/3
Let y(i) = -2*i**2 + 3*i**2 - 469*i + 470*i. Let p(a) = a**4 - 11*a**2 + 3*a - 3. Suppose -6 = 4*q - 2. Let c(h) = q*p(h) - 5*y(h). Find j, given that c(j) = 0.
-3, 1
Suppose 46*c**2 - 39*c - 2 + 8 - 13*c**2 = 0. What is c?
2/11, 1
Suppose -3*r + 4 + 2 = 0. Factor -n**r + 382*n - 382*n.
-n**2
Let x(q) be the second derivative of 3*q**4/14 + 52*q**3/21 - 12*q**2/7 - 3*q + 112. Factor x(s).
2*(s + 6)*(9*s - 2)/7
Let s(b) = 5*b**3 + b**2 - 9*b - 1. Let l(c) = -11*c**3 - 3*c**2 + 20*c + 3. Let n(t) = -4*l(t) - 9*s(t). Factor n(k).
-(k - 3)*(k - 1)*(k + 1)
Let p(i) be the second derivative of 0*i**2 - 32*i + 5/18*i**4 - 4/63*i**7 - 2/9*i**3 + 1/45*i**6 + 0 + 2/5*i**5. Let p(h) = 0. What is h?
-1, 0, 1/4, 2
Let z = -674 - -1351/2. Let m(f) be the first derivative of -9/5*f**5 - 7 + 0*f**2 + 0*f + 0*f**3 + 1/2*f**6 + z*f**4. Factor m(c).
3*c**3*(c - 2)*(c - 1)
Let j = -11760 - -11763. Determine c so that 1/3*c**j - 1/2 - 4/3*c - 1/2*c**2 = 0.
-1, -1/2, 3
Let a(l) be the second derivative of l**4 - 23*l**3/2 - 9*l**2 + 205*l. Factor a(j).
3*(j - 6)*(4*j + 1)
Suppose -2*k - 2*k + 5*j = -3, -5*k - 4*j = -55. Factor -8*c**2 - 1 + 2 - 2*c**3 + k*c**4 + 8*c - 10*c + 4*c**5.
(c - 1)*(c + 1)**3*(4*c - 1)
Let u = -16 + 9. Let w = 1 - u. Factor 3*d + w*d**2 - 4*d**3 + 5*d - 12*d.
-4*d*(d - 1)**2
Let d(o) be the third derivative of o**7/630 + o**6/90 - o**5/36 - o**2 - 5. Factor d(z).
z**2*(z - 1)*(z + 5)/3
Let n be 22/((-880)/424) + 33/3. Factor n - 6/5*h**3 - 2/5*h - 2*h**2.
-2*(h + 1)**2*(3*h - 1)/5
Suppose 5*t = 0, 0 = -4*l - 4*t + 44 + 4. Let f = 14 - l. Let -6*r**3 + 6*r + 2*r**5 + 4*r**f - 4 - r**3 - r**3 = 0. What is r?
-2, -1, 1
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