 1)*(j + 2)
Let u(q) be the second derivative of 2*q**6/15 + 3*q**5/5 - 3*q**4 + 10*q**3/3 + 199*q + 2. Factor u(f).
4*f*(f - 1)**2*(f + 5)
Let s(w) be the first derivative of 1/110*w**5 + 0*w**3 + 2 + 0*w**2 + 1/66*w**4 + w. Let n(a) be the first derivative of s(a). Solve n(k) = 0.
-1, 0
Let r(c) = 5*c**5 + 3*c**4 + 3*c**2 + c - 1. Let i(d) = -d**5 - 3*d**2 - d + 1. Let t(m) = i(m) + r(m). Factor t(k).
k**4*(4*k + 3)
Solve 162 + 18*o + 1/2*o**2 = 0.
-18
Let t(u) be the third derivative of 0 + 0*u - 1/12*u**4 + 0*u**3 - 5*u**2 + 1/30*u**5 - 1/240*u**6. Find v such that t(v) = 0.
0, 2
Suppose 2*g - 6/5*g**2 + 2/5*g**4 - 2/5*g**3 - 4/5 = 0. What is g?
-2, 1
Solve 0 + 1/2*l**4 - l**3 + l - 1/2*l**2 = 0 for l.
-1, 0, 1, 2
Let s(v) be the third derivative of v**6/280 + v**5/70 - v**4/56 - v**3/7 + 6*v**2 + v. Find f such that s(f) = 0.
-2, -1, 1
Let o(g) be the second derivative of 3*g**5/20 - 3*g**3/2 - 3*g**2 - 127*g. Factor o(z).
3*(z - 2)*(z + 1)**2
Let c(v) = 6*v**4 + 38*v**3 + 94*v**2 + 90*v + 26. Let f(g) = -31*g**4 - 189*g**3 - 469*g**2 - 451*g - 129. Let s(x) = 11*c(x) + 2*f(x). Factor s(k).
4*(k + 1)**3*(k + 7)
Let o be (3 - -2)*-2*(-3)/(-5). Let y be (o/(-4))/(565/(-160) - -4). Factor -56/5*i - 2/5*i**5 - 76/5*i**2 - 10*i**3 - 16/5 - y*i**4.
-2*(i + 1)**2*(i + 2)**3/5
Let z be (-840)/(-1200)*(-16)/(-14). Determine f so that 16/5*f**3 - z - 56/5*f**2 - 31/5*f = 0.
-1/4, 4
Let c(t) = -t**3 + 11*t**2 - 11*t + 14. Let z be c(10). Solve -28*m**z + 14*m**4 + 11*m**4 + 12*m**3 = 0 for m.
0, 4
Let s(v) be the first derivative of v**5/15 - v**4/2 + 4*v**3/3 + 3*v**2 + 9. Let z(i) be the second derivative of s(i). Factor z(x).
4*(x - 2)*(x - 1)
Let o(v) = 20*v**2 - 625*v - 15593. Let n(g) = -9*g**2 + 312*g + 7797. Let l(j) = 13*n(j) + 6*o(j). Factor l(h).
3*(h + 51)**2
Let f(o) be the second derivative of o**7/14 - o**6/15 + 171*o. Determine u so that f(u) = 0.
0, 2/3
Let m be 2/(-10) - ((-200472)/8640 + 23). Let v(k) be the third derivative of 0*k - 1/9*k**3 - 11*k**2 + 0 - 5/72*k**4 - 1/45*k**5 - m*k**6. Factor v(c).
-(c + 1)**2*(c + 2)/3
Let t be ((-6)/8)/((-1)/4). Let f = 61 - 58. Factor -3*b**3 - 3*b**3 + 4*b + b**4 + 3*b**t + 0*b**f.
b*(b - 2)**2*(b + 1)
Let o(c) = 3*c**2 - 55*c + 70. Let t be o(17). Factor 3/2*a - 3/2*a**t + 3.
-3*(a - 2)*(a + 1)/2
Let i(n) = n - 9. Let m be i(9). Let y = 70 - 68. Factor -2/3*s**3 + 0*s**y + 2/3*s + m.
-2*s*(s - 1)*(s + 1)/3
Suppose -2*j + 25 = -7*j. Let g(m) = -m**2 - 4*m + 5. Let c be g(j). Factor 0 - 1/4*d**3 + c*d**2 + 0*d.
-d**3/4
Suppose 3*t - 8*t + 85 = 0. Let -2 - 32*z + 12 + 5*z**2 + t*z = 0. What is z?
1, 2
Let q(t) = t**2 - 16*t - 20. Let k be q(15). Let c be (2/k)/(6/(-30)). Factor 0*b + 8/7 - c*b**3 - 6/7*b**2.
-2*(b - 1)*(b + 2)**2/7
Let q(p) be the first derivative of p**6/30 - 4*p**5/25 + 3*p**4/20 - 281. Factor q(c).
c**3*(c - 3)*(c - 1)/5
Let b(d) be the second derivative of -d**5/30 - d**4/12 - 23*d**2/2 + 28*d. Let l(z) be the first derivative of b(z). Factor l(y).
-2*y*(y + 1)
Let d = 77 - 77. Suppose -5*k = -i + 13, d = i - 3*k - 8 - 3. Solve -8/5 + 10*q**4 - 42/5*q**2 + i*q - 8*q**3 = 0.
-1, 2/5, 1
Let k(w) be the first derivative of w**6/180 + w**5/15 - w**4/36 - 2*w**3/3 + 59*w**2/2 - 56. Let c(s) be the second derivative of k(s). Factor c(b).
2*(b - 1)*(b + 1)*(b + 6)/3
Factor 99/4*m**2 + 21/4*m**3 - 15/2*m + 0.
3*m*(m + 5)*(7*m - 2)/4
Let m(c) be the second derivative of -c**4/28 + 3*c**3/7 - 12*c**2/7 + 229*c. Find y such that m(y) = 0.
2, 4
Let q(m) be the second derivative of 1/20*m**5 - 1/6*m**3 + 0 - m**2 - 1/10*m**6 - 10*m + 5/12*m**4. Solve q(c) = 0.
-1, -2/3, 1
Let t(b) be the second derivative of b**7/2520 - b**6/144 + b**5/30 + b**4/2 + 7*b. Let o(u) be the third derivative of t(u). Let o(z) = 0. What is z?
1, 4
Let z(n) be the third derivative of n**5/540 - 8*n**3/27 - 16*n**2. Factor z(q).
(q - 4)*(q + 4)/9
Let p(v) be the first derivative of -2*v**3/21 - 7*v**2 - 96*v/7 - 181. Suppose p(i) = 0. Calculate i.
-48, -1
Let r(s) be the first derivative of -4*s**4 + 0*s + 6 + 0*s**3 + 0*s**2 - 12/5*s**5 + 2/3*s**6. Factor r(w).
4*w**3*(w - 4)*(w + 1)
Factor 0*s**3 + 0*s + 0 + 1/10*s**4 - 9/10*s**2.
s**2*(s - 3)*(s + 3)/10
Let d be 6/9*(5 - 2). Suppose q**4 - 2*q**2 - 2*q**d + q**2 + 2*q**2 = 0. What is q?
-1, 0, 1
Let d(k) be the third derivative of -k**6/720 + k**5/40 - 3*k**4/16 - 5*k**3/3 - 2*k**2. Let l(p) be the first derivative of d(p). Factor l(y).
-(y - 3)**2/2
Find k, given that -2/3*k**4 + 2/3*k**2 + 0 + 2/3*k**3 - 2/3*k = 0.
-1, 0, 1
Let m = 63 + -63. Suppose m = -50*n + 45*n + 15. Determine k so that 2/9*k**4 - 8/9*k**n + 0 + 0*k + 8/9*k**2 = 0.
0, 2
Let h = 1/57 + 146/1425. Let r(b) be the second derivative of -6*b + 0 - h*b**5 - 1/2*b**3 - 3/10*b**2 - 2/5*b**4. Find f, given that r(f) = 0.
-1, -1/2
Suppose -2*m + 0*m = 3*a - 40, -5*a = -2*m - 72. Suppose -9*u = -a*u. Determine b so that -2/7*b**2 + u*b + 2/7*b**3 + 0 = 0.
0, 1
Let g(q) be the second derivative of -4/3*q**3 - 28*q + 0 - 12*q**2 - 1/18*q**4. Solve g(f) = 0.
-6
Let i(l) be the third derivative of l**7/735 - 121*l**6/420 + 164*l**5/7 - 17200*l**4/21 + 64000*l**3/21 + 68*l**2. Find k such that i(k) = 0.
1, 40
Suppose -3 = -2*a + 59. Let m be 2/11 - a/(-11). Suppose -27*h**2 + 26*h - 8*h - h**3 + 13*h**m - 3 = 0. Calculate h.
1/4, 1
Suppose -16 = 4*g, -13*d + 12*d - 2*g = 6. What is m in 1/3*m - 1/6*m**4 + 0 + 0*m**3 + 1/2*m**d = 0?
-1, 0, 2
Let v(l) = -8*l**2 - 218*l + 5408. Let b(g) = 10*g**2 + 220*g - 5408. Let j(s) = -5*b(s) - 6*v(s). Factor j(w).
-2*(w - 52)**2
Let g(y) be the third derivative of y**6/1140 + 7*y**5/570 + 5*y**4/114 + 91*y**2. What is k in g(k) = 0?
-5, -2, 0
Factor 1/4*p**5 - 1/2*p**4 + 3/2 - 19/4*p + 5*p**2 - 3/2*p**3.
(p - 2)*(p - 1)**3*(p + 3)/4
What is g in -4/9*g**5 + 0 + 100/9*g - 40/9*g**4 + 40/9*g**2 - 32/3*g**3 = 0?
-5, -1, 0, 1
Let o(u) = -u**2 - 3*u + 6. Let d be o(-4). Factor -d*v**3 + 301*v**2 - 306*v**2 - 3*v**3.
-5*v**2*(v + 1)
Let o(r) be the first derivative of -r**3/9 + 21*r**2 + 127*r/3 + 517. Determine j so that o(j) = 0.
-1, 127
Let b(f) be the first derivative of 3*f + 3*f**3 + 9/2*f**2 + 7 + 3/4*f**4. Factor b(w).
3*(w + 1)**3
Let i = 40 + -38. Factor -4*v**i + 97*v**3 + 4*v**4 - 4*v + v**5 - 43*v**3 - 52*v**3 + v.
v*(v - 1)*(v + 1)**2*(v + 3)
Determine y, given that -3/7*y**4 + 9/7*y**3 - 9/7*y + 6/7 - 3/7*y**2 = 0.
-1, 1, 2
Let s be (0/136)/(3 + -5). Factor -9/2*o + 3/4*o**3 + 15/4*o**2 + s.
3*o*(o - 1)*(o + 6)/4
Let p be (-11)/3*(92/(-22) - -4). Let p*c - 2/3 + 2/3*c**2 - 2/3*c**3 = 0. What is c?
-1, 1
Let -w**4 + 0 + 1/2*w**3 + 3*w**2 - 9/4*w - 1/4*w**5 = 0. Calculate w.
-3, 0, 1
Let z(t) = 8*t**4 - 6*t**3 + 6*t - 3. Let y be -1*(-1 - (-4)/2). Let i(k) = -231*k**4 + 3*k**2 + 232*k**4 - 3*k**2. Let r(d) = y*z(d) + 5*i(d). Solve r(u) = 0.
-1, 1
Let p = 98 + -96. Suppose 11*k**p + 3*k**4 + k**2 - 16*k**3 + 16*k - 9 + k**4 - 7 = 0. What is k?
-1, 1, 2
Let w(d) be the second derivative of -d**7/882 - d**6/90 + d**5/70 - d**4/3 - 37*d. Let o(i) be the third derivative of w(i). Factor o(k).
-4*(k + 3)*(5*k - 1)/7
Let p be (3/6*0)/(-1). Solve -7 + p*q**3 - 12*q**3 + 6*q**2 + 36*q - 20 - 3*q**4 = 0 for q.
-3, 1
Let c(z) be the third derivative of -z**6/480 + z**5/160 + 5*z**4/192 - 5*z**2 - 2. Factor c(r).
-r*(r + 1)*(2*r - 5)/8
Solve 3 - 1/4*j - 1/4*j**2 = 0.
-4, 3
Let v(q) = q**2 - 22*q - 269. Let r be v(-9). Let 30*k + 45/2 + r*k**2 = 0. What is k?
-3/2
Let g(w) be the third derivative of 0*w + 0 - 2/5*w**3 - 6*w**2 - 1/30*w**4 - 1/420*w**8 + 1/75*w**6 + 2/25*w**5 - 2/175*w**7. Solve g(y) = 0.
-3, -1, 1
Let b(k) be the first derivative of -k**4/18 - 4*k**3/9 + 19*k**2/9 + 16*k/3 + 39. Factor b(f).
-2*(f - 3)*(f + 1)*(f + 8)/9
Find m such that -1 - 5/6*m + m**3 - 1/3*m**4 - 1/6*m**5 + 4/3*m**2 = 0.
-3, -1, 1, 2
Let g(c) = -5 + 0*c - 7 + 7*c**2 + 9*c + 8. Let q(u) = -27*u**2 - 36*u + 15. Let i(d) = 15*g(d) + 4*q(d). Let i(x) = 0. Calculate x.
-3, 0
Let z(x) be the first derivative of -x**4/4 - 3*x**3 - 12*x**2 - 16*x - 132. Determine u so that z(u) = 0.
-4, -1
Let d(v) = 11*v**3 + 27*v**2 + 10*v - 27. Let a(b) = -3*b**3 - 9*b**2 - 3*b + 9. Let r(t) = 7*a(t) + 2*d(t). Solve r(s) = 0.
-1, 1, 9
Let s be (-6)/(14/56*-8). Factor 4/3*i - 1 + 2/3*i**2 - 4/3*i**