ive of 0 + 1/30*v**5 - 3*v - 5/6*v**4 + 25/3*v**3 - 9/2*v**2. Let g(a) be the first derivative of j(a). Solve g(t) = 0 for t.
5
Let d(t) be the first derivative of t**3/4 - 165*t**2/4 + 9075*t/4 - 237. Solve d(g) = 0 for g.
55
Let z(o) = -o**2 + 7*o + 10. Let l be z(8). Suppose -l*i - 30 = 2*s - 7*s, 4*i + 16 = -s. What is c in -5 + 2*c**2 + 2 + 3 - s - 2*c = 0?
-1, 2
Suppose -4*m**3 + 5*m**3 + 1804*m**4 - 1807*m**4 - 4*m**3 = 0. What is m?
-1, 0
Let q(h) be the first derivative of -h**5/80 + h**4/32 + h**3/4 - 17*h**2 + 14. Let g(d) be the second derivative of q(d). Solve g(u) = 0 for u.
-1, 2
Let w be 119/(-952)*24*-1. Let s(v) be the first derivative of 1/15*v**5 - 1/6*v**2 + 8 + 1/12*v**4 + 2/3*v - 1/3*v**w. Let s(y) = 0. Calculate y.
-2, -1, 1
Let z(n) be the third derivative of -n**5/30 + 13*n**4/4 - 74*n**3/3 - 69*n**2 + 2. Solve z(c) = 0 for c.
2, 37
Let j = 141 + -139. Find r, given that -18*r + 29*r - 28*r - 288 - j*r**2 - 31*r = 0.
-12
Let o(i) be the first derivative of 4*i**3/3 - 34*i**2 + 240*i + 896. Solve o(d) = 0.
5, 12
Let h be (-20)/2 - (23 + -35). Let o(w) be the second derivative of 0*w**h + 1/6*w**6 + 0*w**4 + 0*w**3 - 3/4*w**5 - 10*w + 0. Factor o(t).
5*t**3*(t - 3)
Let g be (-34 + 22)*(2 + -1)/(-26). Let l = g + -5/39. Solve -1/3*f**2 + l + 0*f = 0.
-1, 1
Let a = -4109 + 4114. Factor -2/5*q**2 - 2/5*q**a - 6/5*q**3 - 6/5*q**4 + 0 + 0*q.
-2*q**2*(q + 1)**3/5
Suppose -5*v + 3*p + 8 = -8, 4*v = -3*p + 2. Suppose v*i = -2*i - 2*b, -2*b = 8. Factor -5*c + 2 + 2*c**i - c + 2.
2*(c - 2)*(c - 1)
Let a(w) be the first derivative of -2*w**3/27 + 13*w**2/9 - 44*w/9 + 115. Solve a(o) = 0 for o.
2, 11
Factor -1/7*k**2 - 6/7*k + 16/7.
-(k - 2)*(k + 8)/7
Let l = 33/100 + -2/25. Let o(r) = 240*r + 962. Let h be o(-4). Factor -l*s - 1/4*s**h + 0.
-s*(s + 1)/4
Suppose 138 + 2 = 7*g. Let -3 - 4*b**3 + g*b**2 - 33 - 4*b - 4*b - 4*b = 0. Calculate b.
-1, 3
Let g(f) be the first derivative of -f**5/35 - 3*f**4/14 - f**3/7 + 4*f**2/7 + 19*f - 38. Let s(x) be the first derivative of g(x). Let s(a) = 0. Calculate a.
-4, -1, 1/2
Let d = 8181 - 8179. Determine v, given that -4*v + 16 + 1/4*v**d = 0.
8
Let b(x) be the second derivative of 7*x**5/10 + 19*x**4/6 + 8*x**3/3 - 4*x**2 - 37*x. Solve b(h) = 0 for h.
-2, -1, 2/7
Suppose 6*i - 3 = 3. Suppose 31*t + i + 0 - 29*t + t**2 = 0. Calculate t.
-1
Let z be (-5 - -2)/(3/(-2)). Factor -26 + 2*c**z + 6 + 14 + c.
(c + 2)*(2*c - 3)
Let r(v) be the second derivative of -1/42*v**7 + 6*v + 0 - 1/6*v**3 + 0*v**4 + 0*v**2 + 0*v**6 + 1/10*v**5. Factor r(m).
-m*(m - 1)**2*(m + 1)**2
Suppose 2*n + 5*d + 17 = 0, 0 = 4*n + 51*d - 50*d - 11. Factor -1/2*r**2 + 0 + 1/8*r + 1/8*r**5 + 3/4*r**3 - 1/2*r**n.
r*(r - 1)**4/8
Let j be ((-6)/(-9))/((9 + -3)/24). Suppose 8/3 + 2/3*k**2 - j*k = 0. What is k?
2
Let q(b) be the second derivative of -b**7/8820 - b**6/420 - 5*b**4/12 - 4*b. Let i(j) be the third derivative of q(j). Suppose i(c) = 0. Calculate c.
-6, 0
Suppose 5*t - 300 = -m, 5*m + 31 + 149 = 3*t. Let c = -57 + t. Factor 2/3*k + 1/6*k**c + 0 + 2/3*k**2.
k*(k + 2)**2/6
Let s be (-36)/48 - (-18)/20. Let j(h) be the second derivative of -s*h**5 + 0*h**3 + 0 + 0*h**2 + 1/4*h**4 + 5*h. Factor j(d).
-3*d**2*(d - 1)
Let h(q) be the third derivative of q**7/525 - q**5/50 + q**4/30 - 16*q**2 - 2. Determine r so that h(r) = 0.
-2, 0, 1
Let h(y) be the first derivative of -y**3/3 - 7*y**2/2 + 18*y + 112. What is m in h(m) = 0?
-9, 2
Find i, given that -13/7*i - 12/7*i**2 + 1/7*i**3 + 0 = 0.
-1, 0, 13
Suppose 0 = -9*l + 5*l. Suppose -4*c = p - l*p - 10, 2 = 4*c - 3*p. Factor -5*t**3 + 6*t**3 - c*t**3 - 7*t + 3 + 5*t**2.
-(t - 3)*(t - 1)**2
Let z(n) = -3*n**3 - 4*n**2 + 33*n - 26. Let g(f) = 50*f**3 + 70*f**2 - 560*f + 440. Let r(d) = 2*g(d) + 35*z(d). Factor r(s).
-5*(s - 2)*(s - 1)*(s + 3)
Let s be (72/20)/6*(-15)/(-54). Let y(o) be the second derivative of -1/2*o**2 - 1/48*o**4 + 0 - s*o**3 - 5*o. Solve y(i) = 0 for i.
-2
Let i be (2 - 740/72) + (-1)/(-2). Let s = -40/9 - i. Let 2/3 + 14/3*w**2 + 2/3*w**3 + 8/3*w**5 - 16/3*w**4 - s*w = 0. Calculate w.
-1, 1/2, 1
Factor 48/11*t + 16/11*t**3 + 18/11 + 2/11*t**4 + 4*t**2.
2*(t + 1)**2*(t + 3)**2/11
Let b(s) = 8*s**2 + 4*s**2 - 4 - 4*s**3 - 8*s**2. Let d(a) = -4*a**3 + 5*a**2 - a - 3. Let m(g) = -3*b(g) + 4*d(g). Solve m(r) = 0.
0, 1
Factor -14/3*i**3 + 2*i**2 - 2/3*i**5 + 0*i + 10/3*i**4 + 0.
-2*i**2*(i - 3)*(i - 1)**2/3
Factor 3*x**2 - 30*x**4 + 27*x**3 + 61690 + 5*x - 5*x - 61690.
-3*x**2*(x - 1)*(10*x + 1)
Let d be (4/6)/2 + (-33)/(-9). Let o be -1*8*d/(-8). Determine r so that -6/5*r**o + 2/5*r**3 + 0*r**2 + 0*r + 0 = 0.
0, 1/3
Let t(h) = 202*h + 1414. Let m be t(-7). What is v in 0*v - 3/7*v**3 + m + 15/7*v**2 = 0?
0, 5
Let j = -56 + 67. Factor -k**5 + j*k**4 - 19*k**4 - k**3 + 6*k**4.
-k**3*(k + 1)**2
Suppose 12*f + 1 - 37 = 0. Factor -8*p + 4*p + p**2 + p**f - 4 + 0*p**3.
(p - 2)*(p + 1)*(p + 2)
Suppose 184*w - 174*w = 0. Factor 9/7*o**2 - 3/7*o - 9/7*o**3 + 3/7*o**4 + w.
3*o*(o - 1)**3/7
Let n(f) = 6*f**2 - 25*f - 20. Let t(x) = 7*x**2 - 24*x - 19. Let y(r) = 6*n(r) - 5*t(r). Let w(b) = 30*b + 25. Let j(g) = -6*w(g) - 5*y(g). Factor j(v).
-5*(v + 1)*(v + 5)
Let a = 465 + -3249/7. Determine m, given that 0*m**2 + 15/7*m - a + 6/7*m**4 - 15/7*m**3 = 0.
-1, 1/2, 1, 2
Let g(f) be the first derivative of -f**3 + 4*f**2 + 11*f - 20. Let n(m) = -5*m**2 + 12*m + 17. Suppose p = 3*p - 16. Let b(s) = p*g(s) - 5*n(s). Factor b(q).
(q + 1)*(q + 3)
Let z(o) be the second derivative of 1/6*o**2 - 1/72*o**4 + 0 - 1/36*o**3 + 12*o. Factor z(b).
-(b - 1)*(b + 2)/6
Let p(o) be the third derivative of -1/66*o**3 + 0*o + 1/88*o**4 - 1/220*o**5 - 23*o**2 + 0 + 1/1320*o**6. Determine i so that p(i) = 0.
1
Let f = 4896 - 4894. Solve 0 + 0*a - a**f - 1/4*a**3 = 0 for a.
-4, 0
Let j be 0/(2 + (-7 - -11)). Let l(n) be the third derivative of 0 - 4/3*n**3 + 1/2*n**4 - 1/30*n**6 + 4*n**2 + j*n + 0*n**5. Solve l(a) = 0 for a.
-2, 1
Let 21/2*a**3 + 123/2*a - 3/4*a**4 - 45*a**2 - 105/4 = 0. What is a?
1, 5, 7
Let b(a) be the first derivative of 2*a**3/39 + 16*a**2/13 - 34*a/13 + 75. Determine f so that b(f) = 0.
-17, 1
Factor 3/2*x + 2*x**2 - 1/2.
(x + 1)*(4*x - 1)/2
Let i be (-3*(-10)/(-15))/(-120). Let w(h) be the third derivative of -3/2*h**3 + 0*h - i*h**5 + 0 - 4*h**2 - 1/4*h**4. What is u in w(u) = 0?
-3
Let q be -1*(2 + (-5 - -2)) + 17. Suppose 0 = 7*f - 13*f + q. Factor -6/5*s**f + 0 - 2/5*s**4 - 2/5*s - 6/5*s**2.
-2*s*(s + 1)**3/5
Let u(q) be the third derivative of -q**8/90720 - q**7/22680 + 2*q**5/15 + 12*q**2. Let c(x) be the third derivative of u(x). Factor c(g).
-2*g*(g + 1)/9
Solve 3*v**2 + 0*v - 1/4*v**3 - 64 = 0.
-4, 8
Let o(v) = v**3 + v**2 + 2*v + 3. Let x be o(0). Factor -18*f - 4*f**x + 2*f + 12 - f + 20*f**2 - 11*f.
-4*(f - 3)*(f - 1)**2
Find q, given that -15*q + 32*q + q**3 - 17*q - 19*q + 30 = 0.
-5, 2, 3
Suppose 203/3*f - 1/6*f**2 - 41209/6 = 0. What is f?
203
Let l(x) = x**2 - 21*x - 44. Let y be l(23). Let -1 + 139*b**2 + 7 - 142*b**y - 3*b = 0. Calculate b.
-2, 1
Suppose -6*s + 7 = -23. Solve 110*u**4 - 116*u**4 + 2*u**s + 5*u**3 - u**3 = 0.
0, 1, 2
Find i such that -32/9 - 4/9*i**3 + 64/9*i - 10/3*i**2 + 2/9*i**4 = 0.
-4, 1, 4
Let z(f) be the first derivative of -3*f**5/5 + 9*f**4/4 + 56*f**3 + 198*f**2 + 240*f + 91. Let z(y) = 0. Calculate y.
-4, -2, -1, 10
Factor 559*p**4 - 5*p**2 - 560*p**4 + 3*p**2 + 5*p**3 - 4*p**2.
-p**2*(p - 3)*(p - 2)
Let b(p) be the first derivative of 7/2*p**2 - 2/5*p**5 + 2*p + 8/3*p**3 + 1/2*p**4 - 16 - 1/6*p**6. Factor b(j).
-(j - 2)*(j + 1)**4
Let y = 216/5 - 431/10. Let a(l) be the second derivative of y*l**6 + 1/14*l**7 + l**3 - 4*l - 1/4*l**4 - 9/20*l**5 + 0*l**2 + 0. Determine t so that a(t) = 0.
-2, -1, 0, 1
Let s(w) be the second derivative of -29*w**4/20 - w**3/5 + 54*w. Find z, given that s(z) = 0.
-2/29, 0
Let k(y) be the first derivative of y**7/2940 - y**6/360 + y**5/210 + y**4/42 - y**3/3 + 6. Let i(p) be the third derivative of k(p). Solve i(f) = 0 for f.
-1/2, 2
Factor 2/7*c**4 + 148/7*c**2 + 64/7*c - 768/7 - 34/7*c**3.
2*(c - 8)**2*(c - 3)*(c + 2)/7
Let v(h) be the first derivative of -h**6/105 + h**4/21 - h**2/7 - 13*h + 12. Let g(q) be the first derivative of v(q). Factor g(p).
-2*(p - 1)**2*(p + 1)**2/7
Let s(a) be 