/4*g**2 + 0 - j*g**3 - 3*g + 3/8*g**4. Factor x(f).
-(f - 3)**3/2
Suppose 3*p + 14 = -5*b, -p - 2 = b - 0*b. Determine t, given that -11*t + 2 + 11*t - p*t**2 = 0.
-1, 1
Let n(c) be the first derivative of -c**5/5 + c**4/2 - c**3/3 + 25. Determine h, given that n(h) = 0.
0, 1
Let g(q) be the first derivative of -q**6/288 - 3*q**5/160 - q**4/24 + 2*q**3 + 6. Let a(n) be the third derivative of g(n). Solve a(i) = 0.
-1, -4/5
Let v(a) = -17*a**3 - a - a**2 + 37*a**3 - 21*a**3. Let c(x) = -15*x**3 - 45*x**2 - 20*x. Let g(n) = c(n) - 20*v(n). Factor g(d).
5*d**2*(d - 5)
Let f(i) be the third derivative of 0*i**3 + 0 - 1/16*i**6 - 25*i**2 + 0*i**5 + 0*i**4 + 0*i - 1/84*i**7. Let f(j) = 0. Calculate j.
-3, 0
Let m(y) be the first derivative of -y**3/12 + 6*y**2 + 49*y/4 + 554. Solve m(u) = 0 for u.
-1, 49
Let y(p) be the second derivative of p**5/4 - 5*p**4/3 + 25*p**3/6 - 5*p**2 + 3*p + 9. Factor y(u).
5*(u - 2)*(u - 1)**2
Factor 7/8*a**5 + 1/2*a**4 - 10*a**2 - 3/2 - 53/8*a - 21/4*a**3.
(a - 3)*(a + 1)**3*(7*a + 4)/8
Let h(p) = -2*p**2 + 16*p - 14. Let j be -1*(2 + -7 + -2). Let n be h(j). Factor 0*q**3 - 2/3*q**5 + n + 0*q + 8/3*q**2 - 2*q**4.
-2*q**2*(q - 1)*(q + 2)**2/3
Let s be (-2500)/(-504) + -4 + (-4)/7. Let l(p) be the first derivative of p**2 + 0*p - 1/3*p**5 - s*p**6 + 37/12*p**4 + 6 - 31/9*p**3. What is b in l(b) = 0?
-3, 0, 2/7, 1
Suppose 3*k - w - 3 = 0, 6 = -5*k + 5*w + 21. Let m(z) = -2*z**2 + 6*z + 80. Let y be m(8). Let 0*x**2 - 1/7*x**4 + 0 + y*x + k*x**3 + 4/7*x**5 = 0. What is x?
0, 1/4
Let y be (3/(-6))/(3/(-6)). Let q be (-2 + y + 0)*-9. Solve 12*c - 2*c**2 + 4 + q - 31 = 0 for c.
3
Let n(y) = y**3 - 7*y**2 - 22*y + 39. Let k be n(9). Factor 0*z**k - 2/5*z**2 + 1/5*z**5 + 2/5*z**4 - 1/5*z + 0.
z*(z - 1)*(z + 1)**3/5
Let m = -115 - -119. Suppose 0 = 2*w - 3*z - 16, z - 2 = -w - m. Solve -2/7*d**w - 4/7*d + 6/7 = 0 for d.
-3, 1
Let n(w) be the third derivative of -w**5/10 - 2*w**4/3 - 2*w**3/3 + 3*w**2 + 1. Let r(p) = -12*p**2 - 33*p - 9. Let k(s) = -9*n(s) + 5*r(s). Factor k(z).
-3*(z + 3)*(2*z + 1)
Factor -2/9*o**2 + 0 + 38/9*o.
-2*o*(o - 19)/9
Let i(f) be the first derivative of f**5/4 + 25*f**4/12 + 5*f**3 - 16*f - 15. Let x(j) be the first derivative of i(j). What is q in x(q) = 0?
-3, -2, 0
Let d(a) be the first derivative of 1/2*a**2 + 0*a + 3/10*a**5 + a**4 + 7/6*a**3 + 9. Let d(o) = 0. What is o?
-1, -2/3, 0
Let d be -3 + (3 - 2) + 6. Let x = 4 - -5. Factor c**4 + 2*c**4 - x*c**2 + 10*c**2 - 4*c**d.
-c**2*(c - 1)*(c + 1)
Let r be ((-1156)/187)/(-17)*(-11)/(-9). Factor -r - f - 1/9*f**3 - 2/3*f**2.
-(f + 1)**2*(f + 4)/9
Suppose 29*x = 33*x - 8. Factor 8*c**3 - 1038*c + 2*c**4 + c**x + 1030*c - 3*c**2.
2*c*(c - 1)*(c + 1)*(c + 4)
Let d be (13/(-91))/(2/(-10)). Let d*s**3 + 2/7*s**2 - 2/7 - 5/7*s = 0. What is s?
-1, -2/5, 1
Let s = -48 - -50. Let c be 1/(1 - s) + 8/2. Let -7/3*r**4 + 4*r**5 - 7/3*r**c + 0 + 0*r + 2/3*r**2 = 0. What is r?
-2/3, 0, 1/4, 1
Let v(a) be the third derivative of a**8/3528 - 4*a**7/2205 + a**6/420 + 84*a**2. Find o such that v(o) = 0.
0, 1, 3
Let i(o) be the third derivative of -1/15*o**5 + 0*o**4 + 0 + 16*o**2 + 0*o + 8/3*o**3. Find h, given that i(h) = 0.
-2, 2
Let f(l) be the second derivative of -7/3*l**4 + 6*l - 1/5*l**5 - 28/3*l**3 - 16*l**2 + 0. Find t, given that f(t) = 0.
-4, -2, -1
Suppose o + 14 = c + 2*c, o + 22 = 5*c. Suppose 0*w = -c*w - 0*w. Factor 2/5*t**3 + w*t**2 - 6/5*t + 4/5.
2*(t - 1)**2*(t + 2)/5
Suppose -3*v - 11 = 5*d, 15*d = -4*v + 12*d. Let t(z) be the first derivative of -z - 7 - 1/3*z**v - z**2. Find u, given that t(u) = 0.
-1
Let u(t) be the second derivative of 3*t**7/77 + 182*t**6/165 + 614*t**5/55 + 524*t**4/11 + 2944*t**3/33 + 512*t**2/11 - 15*t - 6. Solve u(s) = 0.
-8, -2, -2/9
Find c such that 229*c**5 - 4*c**2 - c - 6*c**3 + 196*c**5 - 426*c**5 - 4*c**4 = 0.
-1, 0
Let s = 403/4 + -100. Let l = -1761 + 1764. Factor 3/4*f + s*f**2 + 1/4*f**l + 1/4.
(f + 1)**3/4
Let i(u) be the first derivative of -8*u**2 + u**4 + 0*u - 5 - 4/5*u**5 + 16/3*u**3. What is o in i(o) = 0?
-2, 0, 1, 2
Let z(k) be the third derivative of k**6/180 + 29*k**5/45 + 841*k**4/36 - 64*k**2 - 1. Determine c so that z(c) = 0.
-29, 0
Find p such that -2/7*p**3 - 8/7*p - 2/7*p**4 - 32/7 + 24/7*p**2 = 0.
-4, -1, 2
Let v be (1 + -2)/((-4)/36). Find c, given that -3*c**3 - v*c**2 - 9*c + 3*c**2 + 6 + 12*c = 0.
-2, -1, 1
Let k be 2/(-17) + (828/102 - 3). Let y be (-5 + 3)/(-2)*k. What is g in 0 + 3/2*g**3 + 0*g + 3/2*g**y + 0*g**2 + 3*g**4 = 0?
-1, 0
Let i be -1 + -1 + (3 - -1). Solve 8*m**3 - 3*m - 7*m**3 - m**i - m**2 = 0 for m.
-1, 0, 3
Let j(m) be the third derivative of -13/12*m**4 + 1/6*m**5 + 0 + 0*m - 6*m**2 + 2*m**3. Solve j(w) = 0.
3/5, 2
Let g(n) be the first derivative of -2*n**6/3 - 12*n**5/5 - 3*n**4 - 4*n**3/3 + 66. Suppose g(m) = 0. Calculate m.
-1, 0
Solve 13*m**3 + 3896*m - 51*m**2 + 3874*m + 5*m**4 - 7727*m - 10 = 0.
-5, 2/5, 1
Suppose 4*b + 6 = 2*s - 2, 0 = -2*b - 3*s + 4. Let c be b/(3 + 39/(-12)). Suppose -2*w**2 - c*w + 4*w = 0. What is w?
0
Let u(s) be the second derivative of -s**4/108 + 23*s**3/54 - 17*s**2/3 - 514*s. Factor u(n).
-(n - 17)*(n - 6)/9
Let h(d) be the first derivative of d**6/48 + d**5/8 + d**4/8 + 158. Factor h(i).
i**3*(i + 1)*(i + 4)/8
Let v(q) be the second derivative of -3*q**6/50 - 12*q**5/25 - 22*q**4/15 - 32*q**3/15 - 8*q**2/5 - 2*q + 3. Factor v(h).
-(h + 2)**2*(3*h + 2)**2/5
Let n(s) be the third derivative of s**7/840 + s**6/80 - 3*s**4/8 - 7*s**2. Let t(g) be the second derivative of n(g). Factor t(z).
3*z*(z + 3)
Let v(q) = 15*q - 3. Let d be v(-3). Let x be (-6)/4*d/18. Factor -2*b**4 - 5*b**3 - 2 + 2 - b**3 - x*b**2.
-2*b**2*(b + 1)*(b + 2)
Let r(c) be the first derivative of 5*c**4/4 + 40*c**3/3 + 65*c**2/2 + 30*c - 436. Let r(y) = 0. Calculate y.
-6, -1
Let v = -1149 - -13789/12. Let u(y) be the second derivative of -y - 1/40*y**5 + 1/4*y**3 + 0*y**2 + 0 - v*y**4. Factor u(c).
-c*(c - 1)*(c + 3)/2
Let c(b) = -5*b**4 + 6*b**3 - 17*b**2 + 18*b - 26. Let g(i) = 4*i**4 - 5*i**3 + 16*i**2 - 18*i + 23. Let w(u) = 5*c(u) + 6*g(u). Factor w(n).
-(n - 2)*(n - 1)**2*(n + 4)
Let v(w) be the first derivative of 3/4*w**4 - 6*w - 3/5*w**5 + 3*w**3 - 14 - 3/2*w**2. Suppose v(r) = 0. What is r?
-1, 1, 2
Let b be 4 + (217/1519 - (-146)/(-42)). Determine i so that b*i**4 - 4/9*i**3 + 0*i - 2/9*i**5 + 0 + 0*i**2 = 0.
0, 1, 2
Let u(w) be the third derivative of w**5/90 - 7*w**4/12 - 22*w**3/9 - 660*w**2. What is d in u(d) = 0?
-1, 22
Suppose -2*u + 4*q = -11 - 7, 0 = 4*u + q - 9. Let k = -37 + 39. Determine j, given that -6*j**3 - 27*j + 12*j + j**u - 30*j**k - 30*j = 0.
-3, 0
Let n(w) be the first derivative of 2/15*w**5 - 2/9*w**3 + 0*w - 2/3*w**2 + 30 + 1/3*w**4. What is r in n(r) = 0?
-2, -1, 0, 1
Let i(u) = -4*u + 0*u + 7*u + 1. Let a be i(1). Factor a*b + 18*b**2 + b - 19*b**2 - 6*b.
-b*(b + 1)
Factor 4 - 5*b**4 - 6 + 2 + 43*b + 65*b**2 + 17*b.
-5*b*(b - 4)*(b + 1)*(b + 3)
Let b(s) be the second derivative of 4*s**2 + 1/2*s**4 + 16*s - 10/3*s**3 + 0 + 9/20*s**5. Find w, given that b(w) = 0.
-2, 2/3
Suppose -7 = 2*c - 15. Let q(s) = 18 - 17*s**2 + s**4 - 18 + 7*s**c - 9*s**3. Let f(l) = -2*l**4 + 2*l**3 + 4*l**2. Let t(r) = -9*f(r) - 2*q(r). Factor t(p).
2*p**2*(p - 1)*(p + 1)
Suppose -248*n + 249*n - a = 3, -3*a + 3 = 0. Factor -4/5*o**n + 0 - 1/5*o**5 + 0*o - 3/5*o**3 + 0*o**2.
-o**3*(o + 1)*(o + 3)/5
Suppose 5*h - 3*f = -5, 2*h + 0*h - 5*f + 21 = 0. Determine q, given that 145*q**h - 6*q**3 - 4*q - 2*q**4 + 2*q - 151*q**2 = 0.
-1, 0
Let b(t) be the second derivative of -2*t**7/315 - t**6/30 - 2*t**5/45 + 8*t**2 + 25*t. Let v(x) be the first derivative of b(x). Let v(k) = 0. What is k?
-2, -1, 0
Suppose -3*f + 7*f = 4*m - 16, 0 = 3*m - 4*f - 13. Suppose -3*o - 5*x + x = -25, m*x = 4*o. Factor 1/3*d**2 + 1/6*d - 1/6*d**o - 1/3.
-(d - 2)*(d - 1)*(d + 1)/6
Let k be (-116)/(-14) - (90 - 82). Factor 2/7*y**5 + k*y**4 + 0 - 2/7*y**3 + 0*y - 2/7*y**2.
2*y**2*(y - 1)*(y + 1)**2/7
Let g(w) be the second derivative of -4*w + 1/390*w**6 + 1/156*w**4 + 0*w**3 + 1/130*w**5 + w**2 + 0. Let k(o) be the first derivative of g(o). Factor k(t).
2*t*(t + 1)*(2*t + 1)/13
Let d(t) be the third derivative of -2*t**6/75 + 103*t**5/75 + 67*t**4/15 + 18*t**3/5 + 312*t**2. Suppose