(z - 1)**3/2
Factor 0*z + 19/3*z**4 - 32/3*z**3 - 5/6*z**5 - 16/3*z**2 + 0.
-z**2*(z - 4)**2*(5*z + 2)/6
Let m(u) be the first derivative of -u**4/5 + 52*u**3/15 - 14*u**2 - 196*u/5 + 228. Factor m(r).
-4*(r - 7)**2*(r + 1)/5
Let j(q) = 9*q**3 - 2*q**2 - 6*q + 5. Let f(h) = -44*h**3 + 10*h**2 + 30*h - 24. Let g(p) = p - 2. Let k be g(16). Let r(n) = k*j(n) + 3*f(n). Factor r(l).
-2*(l - 1)*(l + 1)*(3*l - 1)
Let i(x) be the second derivative of x**7/126 + 11*x**6/90 + 2*x**5/5 - x**4 + x + 34. Factor i(u).
u**2*(u - 1)*(u + 6)**2/3
Let j(k) be the third derivative of 65*k**8/672 + 73*k**7/210 + 7*k**6/60 - k**5/15 + 22*k**2. Solve j(n) = 0.
-2, -2/5, 0, 2/13
Suppose -9*y = -12*y + 12. Let a = 195 - 138. Factor 57*f - a*f - 4*f**2 + y*f**3.
4*f**2*(f - 1)
Let p(j) be the second derivative of j**5/140 + 67*j**4/84 + 275*j. Factor p(q).
q**2*(q + 67)/7
Let y(b) be the second derivative of -1/27*b**4 + 21*b + 2/3*b**2 + 0 + 4/27*b**3. Factor y(m).
-4*(m - 3)*(m + 1)/9
Suppose -3*b + 3*v + 27 = -b, -5*b + 3*v + 72 = 0. Suppose 0 = t - 5*f + b, -2*t + 4*f = -0*f + 12. Factor 0*x + t*x**2 - 1/2*x**3 + 0.
-x**3/2
Let d(b) be the first derivative of b**7/1050 + b**6/600 - b**5/150 - 7*b**2 - 20. Let k(o) be the second derivative of d(o). Suppose k(h) = 0. Calculate h.
-2, 0, 1
Suppose -x + 3*x = -r + 29, r = -x + 32. Let z = 39 - r. What is g in -5*g**4 + z*g**3 - 14*g**3 - 385*g**2 + 380*g**2 = 0?
-1, 0
Let l(v) be the third derivative of -5/4*v**4 + 29/12*v**5 + 0*v**3 - 3*v**2 + 0 + 0*v - 3/8*v**6. Suppose l(u) = 0. What is u?
0, 2/9, 3
Factor 0 - 33/4*d**2 - 1/8*d**3 - 1089/8*d.
-d*(d + 33)**2/8
Let k(a) = -416*a + 1667. Let u be k(4). Let 0 + t**u + 9/7*t - 15/7*t**2 - 1/7*t**4 = 0. Calculate t.
0, 1, 3
Let g(m) = m**3 + m**2 + 3*m + 5. Let r be g(0). Factor -q + r*q + 14*q**2 + 7*q**3 + 0*q + 2*q**2.
q*(q + 2)*(7*q + 2)
Factor -8*a**2 - 73614*a**4 + 73598*a**4 + 0*a**5 - 4*a**5 - 20*a**3.
-4*a**2*(a + 1)**2*(a + 2)
Let y(a) = a**3 - 3*a**2 - 6*a - 7. Let g(o) = -2451*o**2 + 2452*o**2 + o + 0*o + 1. Let j = 6 - 1. Let k(m) = j*g(m) + y(m). Factor k(f).
(f - 1)*(f + 1)*(f + 2)
Let d be (-1)/(-4) + 5523/84. Let r = d + -64. Determine y so that 1/5*y**4 - 3/5*y**3 - 1/5*y + 3/5*y**r + 0 = 0.
0, 1
Let y(r) = 3*r + 47. Let c(h) = h**3 + 6*h**2 + 10*h + 10. Let s be c(-5). Let d be y(s). Find p, given that 24/5*p - 9/5 + 3/5*p**4 + 0*p**3 - 18/5*p**d = 0.
-3, 1
Factor -5*x**4 + 40*x**2 - 65*x**4 - 10*x**2 + x**5 - 30*x**2 - 144*x**3.
x**3*(x - 72)*(x + 2)
Let z(x) be the second derivative of -x**9/5040 - x**8/3360 + x**7/840 + x**6/360 - x**4/2 + 20*x. Let m(f) be the third derivative of z(f). Solve m(k) = 0.
-1, -2/3, 0, 1
Let s(j) be the second derivative of j**7/105 - 2*j**6/25 + 13*j**5/50 - 2*j**4/5 + 4*j**3/15 + 2*j + 14. Factor s(p).
2*p*(p - 2)**2*(p - 1)**2/5
Suppose 0 = -21*w - 292 + 292. Let k(m) be the third derivative of 0*m + w*m**3 + 0 + 0*m**4 + 1/240*m**5 - 4*m**2. What is d in k(d) = 0?
0
Let s(x) = -105*x**3 + x**2 + 2*x. Let k be s(-1). Suppose -3*j = 2*q - k, 112 = 3*j + 3*q + q. Factor 8*d**2 + 10*d + 15*d - 9*d - 4*d**3 - j.
-4*(d - 2)**2*(d + 2)
Let 12/5*t**2 - 126/5 - 501/5*t = 0. Calculate t.
-1/4, 42
Solve -87/5*q**3 + 0 - 15*q**4 + 6/5*q + 81/5*q**5 + 15*q**2 = 0 for q.
-1, -2/27, 0, 1
Let k(p) be the second derivative of -p**7/6300 - p**6/1800 + 3*p**4/4 - 6*p. Let t(b) be the third derivative of k(b). Factor t(n).
-2*n*(n + 1)/5
Factor -12 - 63*x - 90*x**2 - 75/4*x**3.
-3*(x + 4)*(5*x + 2)**2/4
Suppose 37*f = 39*f + 125*f - 381. Determine i so that 0 - 29/3*i**3 + 0*i - 5/3*i**2 - 13*i**4 + f*i**5 = 0.
-1/3, 0, 5
Let c be (-1 - 5/(-3))*3. Let v be 0*1/4 + c. Suppose 14 - 4*w - 24*w**v - 45*w**3 - 25*w**4 - 14 = 0. Calculate w.
-1, -2/5, 0
Let o be 497/(-1065) + (-5)/(-3). Factor 3/5*x + o*x**2 + 0.
3*x*(2*x + 1)/5
Let d(f) be the second derivative of f**5/30 + 7*f**4/9 + 44*f**3/9 + 40*f**2/3 - 7*f + 2. Solve d(z) = 0.
-10, -2
Let g be (-2 + -1)/3*-3. Factor -16*j + g*j**3 - 3*j**2 + 5*j**3 - j**2 - 4*j**3 + 16.
4*(j - 2)*(j - 1)*(j + 2)
Let b(m) be the third derivative of 0 + 0*m + 8*m**2 - 1/480*m**6 + 0*m**3 + 0*m**4 - 1/240*m**5. Suppose b(w) = 0. What is w?
-1, 0
Let a be 6 + (5 - 2) + (-15)/3. Solve 0*s**2 - 14/15*s**5 + 0*s + 0 + 32/15*s**a - 8/15*s**3 = 0 for s.
0, 2/7, 2
Let u(k) be the first derivative of 6*k**2 + 54*k + 2/9*k**3 + 15. Find f, given that u(f) = 0.
-9
Let n(t) be the third derivative of 0*t**7 + 0*t**5 - 1/132*t**4 + 0 + 19*t**2 - 1/1848*t**8 + 0*t**3 + 1/330*t**6 + 0*t. Solve n(c) = 0.
-1, 0, 1
Let c(n) = n**4 - 41*n**3 + 4*n**2 + 36*n. Let z(s) = -4*s**4 + 124*s**3 - 12*s**2 - 108*s. Let p(l) = -16*c(l) - 5*z(l). Factor p(u).
4*u*(u - 1)*(u + 1)*(u + 9)
Let t(j) = -3*j + 120. Let y be t(39). Let i(a) be the second derivative of 3/4*a**4 + 0 - 3/2*a**y + 3/2*a**2 + a - 3/20*a**5. Factor i(o).
-3*(o - 1)**3
Let h(d) be the second derivative of d**5/90 + 5*d**4/18 - 11*d**3/9 + 17*d**2/9 + 5*d - 2. Suppose h(m) = 0. What is m?
-17, 1
Let k = 1467 + -1467. Let 2/5*h**5 - 1/5*h**2 + 1/5*h**4 - 2/5*h**3 + 0 + k*h = 0. Calculate h.
-1, -1/2, 0, 1
Let n(s) be the second derivative of -s**6/30 - s**5/20 + 4*s**4/3 - 10*s**3/3 - 75*s. Factor n(f).
-f*(f - 2)**2*(f + 5)
Let s(f) = -20*f**2 + 96*f + 108. Let j(g) = 13*g**2 - 64*g - 72. Let p(w) = -8*j(w) - 5*s(w). Factor p(r).
-4*(r - 9)*(r + 1)
Let a(w) = -125*w**3 - 1221*w**2 - 1228*w - 324. Let o(d) = -374*d**3 - 3663*d**2 - 3683*d - 972. Let m(k) = 11*a(k) - 4*o(k). What is u in m(u) = 0?
-9, -6/11
Let k(f) = -f**3 + 32*f**2 + 2*f - 60. Let j be k(32). Suppose 4*d + 4 = 3*c, j*c - 11 = 2*d + 1. Factor 0*l - 2/9*l**2 + 1/9*l**5 + 0 - 4/9*l**c + 5/9*l**3.
l**2*(l - 2)*(l - 1)**2/9
Let h(q) = -3*q**3 + 111*q**2 + 237*q + 117. Let v(z) = -z**2 - z - 1. Let i(p) = -h(p) + 6*v(p). Factor i(n).
3*(n - 41)*(n + 1)**2
Let o = 57 - 75. Let p = 20 + o. Suppose 2*a + 1/2*a**p + 2 = 0. What is a?
-2
Let p(i) be the second derivative of i**4/24 + i**3/6 - 2*i**2 + 101*i. Find b, given that p(b) = 0.
-4, 2
Let y(w) be the first derivative of -9/4*w**4 - 3/5*w**5 + 0*w - 3/2*w**2 - 3*w**3 - 8. Let y(u) = 0. What is u?
-1, 0
Let v = 95 + -92. Suppose 4*u**2 + 4*u**v - 8*u + 5*u**2 - 5*u**2 = 0. What is u?
-2, 0, 1
Let y(b) = -b**3 - b**2 - 2*b + 1. Let i(s) = -4*s**4 - 6*s**3 - 2*s**2 - 4*s + 2. Let u(x) = -i(x) + 2*y(x). Solve u(v) = 0.
-1, 0
Solve -201/4*j**2 - 3/8*j**4 + 141/8*j**3 + 0 + 33*j = 0.
0, 1, 2, 44
Let p be (-4)/(-3)*(-12)/(-32). Let 0 + 1/2*c**2 + p*c = 0. What is c?
-1, 0
Suppose -24 = -3*p - g - 7, p - 19 = -3*g. Let n(x) be the second derivative of 1/54*x**p + 0*x**2 - 2/27*x**3 - 5*x + 0. Suppose n(q) = 0. What is q?
0, 2
Let p = -24 - -3. Let g be (3 - (-69)/p)*14/(-24). Suppose -1/3 + 1/3*i**2 - g*i**3 + 1/6*i = 0. Calculate i.
-1, 1, 2
Factor 2/5*a**5 + 16/5*a - 2*a**3 - 2/5*a**2 + 2/5*a**4 - 8/5.
2*(a - 1)**3*(a + 2)**2/5
Let n = -4688 - -23441/5. Solve n*f**2 + 1/5 - 2/5*f = 0.
1
Suppose 2*l = 3 + 35. Factor 24*w - 21*w**2 - l*w**2 - 80*w**3 + 16*w - 5 - 5*w.
-5*(w + 1)*(4*w - 1)**2
Let k be 22968/6480 + (-14)/4. Let q(d) be the second derivative of 0*d**2 - 1/15*d**5 - k*d**6 + 2/9*d**3 + 1/9*d**4 + 0 - 3*d. Solve q(h) = 0.
-1, 0, 1
Let n(t) be the second derivative of 9*t**5/5 + 83*t**4 + 326*t**3/3 + 54*t**2 + 242*t. Factor n(l).
4*(l + 27)*(3*l + 1)**2
Suppose 0 = -2*v - w, 9*v + 3*w = 8*v. Let n(q) be the third derivative of 1/6*q**3 - 1/24*q**4 + v - 1/60*q**5 + 1/120*q**6 - q**2 + 0*q. Factor n(o).
(o - 1)**2*(o + 1)
Let w(r) = 4*r**5 + r**4 + 3*r**3 - 5*r**2 + 2*r. Let p(v) = -6*v - 1. Let d be p(-2). Let k = -1 + d. Let g(h) = h**5. Let z(i) = k*g(i) - 2*w(i). Factor z(y).
2*y*(y - 1)**3*(y + 2)
What is g in -80*g - 1166129*g**2 + 5*g**3 + 0 + 1166124*g**2 + 80 = 0?
-4, 1, 4
Let s(j) be the third derivative of 1/20*j**5 - 2*j + 0*j**4 - 3*j**2 + 0 - 1/140*j**7 + 0*j**6 - 1/4*j**3. Determine f, given that s(f) = 0.
-1, 1
Let i(s) be the second derivative of 5*s**7/42 + 5*s**6 + 27*s**5 + 130*s**4/3 + 219*s + 1. What is z in i(z) = 0?
-26, -2, 0
Solve 0*x + 0 + 79/5*x**3 + 3/5*x**4 + 26/5*x**2 = 0.
-26, -1/3, 0
Let o(t) be the first derivative of -2*t**3/15 - t**2/5 + 4*t/5 - 138. Factor o(s).
-2*(s - 1)*(s + 2)/5
Let w = 43 + -37. Find