(u) be the second derivative of 0 + 0*u**2 + 7/48*u**4 + 2*u - 1/12*u**3. Determine w, given that m(w) = 0.
0, 2/7
Let u be (-2)/(-3)*3*(-6)/(-120). Let r(n) be the third derivative of -5*n**2 + 1/6*n**4 + 1/60*n**6 + 0 + u*n**5 + 0*n + 0*n**3. Solve r(v) = 0 for v.
-2, -1, 0
Let n(s) = s**4 + s**2 + s. Let b(f) = -2*f**4 + 2*f**3 - f**2 - f. Suppose 0 = 9*a - a + 32. Let d(x) = a*n(x) - 4*b(x). Factor d(u).
4*u**3*(u - 2)
Suppose -35*x + 98 + 7 = 0. Let p(l) be the second derivative of 10*l - 11/12*l**x - 1/8*l**4 + 0 + l**2. Let p(a) = 0. Calculate a.
-4, 1/3
Let a(m) = -m**2 + m. Let c(h) = 2*h**2 - 5*h. Let d(r) = 9*r**2 - 21*r. Let g(y) = -22*c(y) + 6*d(y). Let v(n) = 12*a(n) + g(n). Suppose v(s) = 0. What is s?
-2, 0
Suppose -x + 9 = 2*x. Let f = -6000 - -30003/5. Factor 0*a - f*a**5 + 0 + 0*a**2 - 3/5*a**x - 6/5*a**4.
-3*a**3*(a + 1)**2/5
Suppose 16 = 3*o - 2*o. Let i = o + -11. Suppose 5/2*y**i - 3/2*y**2 + 0 + y - 7/2*y**3 + 3/2*y**4 = 0. Calculate y.
-1, 0, 2/5, 1
Let s = -97 - -125. Suppose 4*f**4 + 6*f**4 - s*f**3 + 7*f**4 - 13*f**4 = 0. Calculate f.
0, 7
Let u(w) be the second derivative of 1/14*w**7 - 1/5*w**6 + 0 + 1/2*w**4 - 1/2*w**3 + 0*w**2 + 12*w + 0*w**5. What is v in u(v) = 0?
-1, 0, 1
Suppose -19 = -3*p + 2. Let r be 1*(0/3 + 0). Solve r - 1 + 3*v**3 + 0 - p*v**2 + 5*v = 0.
1/3, 1
Suppose 3*h = -2*h - 3*s + 41, -2*h + 26 = -2*s. Suppose 4*c = -5*d - h, -d = -3*c - 2*c + 2. Factor 3/4*w**2 + 0*w + c - 3/4*w**3.
-3*w**2*(w - 1)/4
Let s = -15631/2 + 7818. Determine g so that -1/2*g**2 - 1/2*g**3 - 3/2 + s*g = 0.
-3, 1
Let r(t) be the second derivative of -t**7/105 + 7*t**5/50 - t**4/15 - 4*t**3/5 + 8*t**2/5 + 301*t. Find q such that r(q) = 0.
-2, 1, 2
Let x(s) be the second derivative of 10*s - 2/15*s**6 + 0*s**2 + 0 - 7/10*s**5 + 4/3*s**3 - 2/3*s**4. Determine l so that x(l) = 0.
-2, 0, 1/2
Let z(q) be the third derivative of -4*q**7/35 - 43*q**6/10 - 1473*q**5/40 + 2021*q**4/8 - 2209*q**3/4 + 119*q**2. Factor z(a).
-3*(a - 1)**2*(4*a + 47)**2/2
Let a(k) be the third derivative of k**10/15120 - k**9/3780 + k**8/3360 + k**4/8 + 11*k**2. Let h(t) be the second derivative of a(t). Factor h(w).
2*w**3*(w - 1)**2
Let f(v) be the first derivative of -1/4*v**4 + 5/12*v**3 + 1/20*v**5 + 0*v - 8 - 1/4*v**2. Determine k so that f(k) = 0.
0, 1, 2
Let u be 18 + -14 + 2 + -1. Let d(n) = -6*n**3 - 2*n**2 + 2*n + 1. Let f(q) = 7*q**3 + 2*q**2 - q - 2. Let s(p) = u*f(p) + 6*d(p). Factor s(v).
-(v - 1)**2*(v + 4)
Let f = -398 + 398. Let b(l) be the second derivative of 0*l**2 - l + 1/15*l**6 + 0*l**3 + 0 - 5/42*l**7 + 0*l**4 + f*l**5. Let b(a) = 0. Calculate a.
0, 2/5
Let z(o) = -13*o**3 + 8 + 3*o**3 - 6*o + 0*o. Let k(c) = -c**3 - c + 1. Let d(s) = 8*k(s) - z(s). Find m, given that d(m) = 0.
-1, 0, 1
Let f(t) = -1. Let p(j) = 5*j**2 - 190*j + 1810. Let i(z) = -5*f(z) - p(z). Factor i(b).
-5*(b - 19)**2
Let j = -1663 - -101431/61. Let r = j + 426/305. Factor 0*b + 0 - r*b**2 + 3/5*b**3.
3*b**2*(b - 2)/5
Let j(s) be the second derivative of 3*s**4/4 + 3*s**3/2 + 3*s**2 - 3*s. Let y be 2/(-2 + 0/3). Let m(i) = i**2. Let a(k) = y*j(k) + 6*m(k). Factor a(x).
-3*(x + 1)*(x + 2)
Let q(k) be the first derivative of -2*k**3/21 + k**2/7 + 12*k/7 + 56. Factor q(h).
-2*(h - 3)*(h + 2)/7
Let w(i) = 4*i + 1. Suppose 4*p + 5 = 9*p. Let z be w(p). Factor -3*m**3 + z*m**3 - 2*m + 0*m.
2*m*(m - 1)*(m + 1)
Let j(z) = -z**3 - 7*z**2 - 21*z - 15. Let k(f) = 3*f**3 + 21*f**2 + 62*f + 44. Suppose 3*w = w - 34. Let n(m) = w*j(m) - 6*k(m). Suppose n(x) = 0. Calculate x.
-3, -1
Let x(b) be the second derivative of -b**6/6 - b**5 - 5*b**4/12 + 5*b**3 - b + 4. Let x(f) = 0. What is f?
-3, -2, 0, 1
Let d(p) be the first derivative of -p**4 - 28*p**3/3 - 9. What is b in d(b) = 0?
-7, 0
Let z(c) be the third derivative of 0*c + 0*c**6 - 1/315*c**7 + 0*c**4 + 0*c**3 - 10*c**2 + 1/90*c**5 + 0. Find q such that z(q) = 0.
-1, 0, 1
Find i, given that -36*i**2 - 10*i**2 - 16*i**4 + 56 + 6*i**2 - 70*i**3 + 46*i - i**5 + 25*i = 0.
-8, -7, -1, 1
Suppose -2*x = 490 - 486. Let b be x/(-8)*2*(4 + 0). Find z such that -25/6 - 1/6*z**b + 5/3*z = 0.
5
Let a(m) be the first derivative of 2*m**3 + 2 - 1/288*m**6 - 1/40*m**5 + 0*m**2 - 1/24*m**4 + 0*m. Let p(x) be the third derivative of a(x). Factor p(l).
-(l + 2)*(5*l + 2)/4
Let h(y) be the third derivative of y**7/245 - 9*y**6/140 + 12*y**5/35 - 5*y**4/7 + 704*y**2. Factor h(p).
6*p*(p - 5)*(p - 2)**2/7
Let f(n) be the second derivative of n**7/280 - n**5/80 - 3*n**2/2 + 20*n. Let q(o) be the first derivative of f(o). Factor q(b).
3*b**2*(b - 1)*(b + 1)/4
Let k(h) = -4*h**3 - 86*h**2 + 202*h + 116. Let a(z) = -z**3 - 17*z**2 + 40*z + 23. Let f(o) = -16*a(o) + 3*k(o). Factor f(y).
2*(y - 2)*(y + 5)*(2*y + 1)
Let s = 168 + -125. Suppose -s = -4*k - 19. Let -4*i**2 + k*i**3 + 0*i + 0 - 3*i**4 + 1/2*i**5 = 0. Calculate i.
0, 2
Let -869 + 125*d + 1199 + 4*d**2 + d**2 = 0. Calculate d.
-22, -3
What is s in 5*s**5 + 19*s**4 - 22*s - s**4 - 5*s**2 - 20 + 35*s**3 + 7*s**4 - 18*s = 0?
-2, -1, 1
Factor -3/5*l**3 + 0*l + 0 + 3/5*l**4 + 0*l**2.
3*l**3*(l - 1)/5
Let z be (1246/1602)/((-7)/(-6)). Factor -2/3*y**4 - 10/3*y**3 + 0 + z*y**2 + 10/3*y.
-2*y*(y - 1)*(y + 1)*(y + 5)/3
Let g = 1/47 - -233/94. Suppose -3*o - 62 = -74. Find y, given that g*y**o - y - 5/2*y**2 + y**3 + 0 = 0.
-1, -2/5, 0, 1
Let l be (-3)/(-2)*(-100)/6. Let k = 177/7 + l. Factor 2/7*h**2 - k*h + 0.
2*h*(h - 1)/7
Find a such that -3/2*a**4 - 7/6*a**5 + 0 + 0*a + 2*a**3 + 2/3*a**2 = 0.
-2, -2/7, 0, 1
Suppose -9*t = -192 - 114. Let k = -30 + t. Factor 4*g**5 + g**4 + 0*g**4 - 8*g**2 - 8*g**3 + 4 + 2*g**k + 4*g + g**4.
4*(g - 1)**2*(g + 1)**3
Let u be 18/(-4)*440/(-26730). Let b(z) be the third derivative of 1/90*z**5 + 0 + 4/27*z**3 + 0*z - u*z**4 + 13*z**2. Factor b(n).
2*(n - 2)*(3*n - 2)/9
Let f = -4/150909 - -2402018569/603636. Let m = f + -3958. Determine y so that m*y**2 - 20*y**4 - 5/4 + 0*y + 0*y**3 = 0.
-1, -1/4, 1/4, 1
What is i in -2*i**2 - 4*i - 1/4*i**3 + 0 = 0?
-4, 0
Suppose 3*c - 38 = 34. Suppose h + 2*t + 2 = 0, 5*h = 2*t + t + 29. Suppose -q**4 - 22*q**3 - 3*q**h + c*q**3 + 2*q**5 = 0. Calculate q.
0, 1
Let z = -19 + 11. Let g be ((-19)/(-2))/((-4)/z). Determine a so that 2*a**3 + 9*a**2 + 8*a**2 - g*a**2 = 0.
0, 1
Let v = 93 - 91. Let z be (-15 + 17)/(1/v). What is m in 0*m**3 + 2/5*m**5 + 0 + 4/5*m**z - 2/5*m - 4/5*m**2 = 0?
-1, 0, 1
Let x(z) = -11*z**3 - 17*z**2 - 44*z - 36. Let s(v) = 9*v**3 + 18*v**2 + 45*v + 36. Let h(j) = -4*s(j) - 3*x(j). Find r such that h(r) = 0.
-3, -2
Factor -60*n + 75/4 + 48*n**2.
3*(8*n - 5)**2/4
Let d be 52/144 - (-8)/(-32). Let c(j) be the second derivative of -d*j**3 - 1/18*j**4 - 5*j + 0 + 2/3*j**2. Factor c(m).
-2*(m - 1)*(m + 2)/3
Suppose -15 = 3*d, -391 = -5*t + t - d. Suppose -u - 21 = -s, -5*s + 3*u = -0*s - t. Suppose 9 - 5*f**4 + 2*f**4 + 13*f + s*f**2 - 37*f = 0. Calculate f.
-3, 1
Let q = -2/59 + 67/236. Suppose -692*m + 123 = -651*m. Factor -1/4*j**m - 1/2*j**2 + 0 - q*j.
-j*(j + 1)**2/4
Determine i so that 0*i**4 - 4/11*i**2 - 2/11*i**5 + 6/11*i**3 + 0*i + 0 = 0.
-2, 0, 1
Let d be 4/3 + (-44)/60. Suppose 11 - 9 = y. Find t such that -d*t**3 + 0 + 3/5*t**y - 3/5*t**4 + 3/5*t = 0.
-1, 0, 1
Let s(v) be the first derivative of -v**4/20 + 7*v**3/15 - 3*v**2/5 - 207. What is k in s(k) = 0?
0, 1, 6
Let x(b) be the second derivative of 2*b**7/21 - 4*b**6/15 - 4*b**5/5 + 2*b**4/3 + 2*b**3 - 4*b + 13. Factor x(f).
4*f*(f - 3)*(f - 1)*(f + 1)**2
Let x be (-73 - -80) + 27/(-4). Determine u, given that 1/4*u**2 - x + 0*u = 0.
-1, 1
Let y be ((-574)/(-42) - 15) + 13/3. Factor 2/3*o**4 + 0 + o**2 + 3/2*o**y + 1/6*o.
o*(o + 1)**2*(4*o + 1)/6
Let c(d) be the first derivative of -2*d**5/35 + 5*d**4/14 - 2*d**3/7 - 5*d**2/7 + 8*d/7 + 27. What is s in c(s) = 0?
-1, 1, 4
Suppose 10 = -2*g + 4*g. Let -171 + 171 - g*o**3 = 0. Calculate o.
0
Let s be (114/42 - 3) + 7 + -5. Factor -12/7*i - s - 3/7*i**2.
-3*(i + 2)**2/7
Solve 5*v**4 + 65*v**3 - 2476*v**2 + 1472*v**2 + 1244*v**2 + 180*v = 0 for v.
-6, -1, 0
Let d be 0 + (-15)/(-5) - 2. Suppose 0 + 4*g**2 + d + 13*g + 3 - 1 = 0. What is g?
-3, -1/4
Suppose -292 = 5*p - 307. Let y(s) be the first derivative of 3 + 2/3*s + 1/6*s**4 + s**2 + 2/3*s**p. Factor y(v).
2*(v + 1)**3/3
Let z be -39*(