3/2*k**3 + 3/2*k**2 - 10*k. Solve y(u) = 0 for u.
-1
Suppose 3 = 4*b + 15. Let q(c) = -c**4 + c**3 - c. Let j(i) = 6*i**4 - 6*i**3 - 9*i**2 + 6*i + 6. Let n(m) = b*q(m) - j(m). Suppose n(x) = 0. Calculate x.
-1, 1, 2
Let k(r) be the second derivative of -3*r**5/20 + 87*r**4/4 - 171*r**3/2 + 255*r**2/2 + 12*r + 1. Factor k(l).
-3*(l - 85)*(l - 1)**2
Let l = 24 - 22. Factor -4*q**2 - l*q**3 + 15*q - 15*q.
-2*q**2*(q + 2)
Suppose -5*o + 3 = 4*p, 4*o - 18 = -6. Let u be 4/((-24)/9) - p/1. Solve 3*c**4 + 0 - 3*c**2 + u*c**5 + 0*c**3 - 3/2*c = 0.
-1, 0, 1
Let z = 3/298 + 67/745. Let m(q) be the second derivative of 0*q**4 + 0*q**2 - 1/9*q**3 - 2/45*q**6 + z*q**5 + 0 - 2*q. Solve m(g) = 0.
-1/2, 0, 1
Let i be (-3535)/(-1010) + (-11)/(-6). Solve 4/3*q**5 + 8*q**3 + 0 + 16/3*q**2 + i*q**4 + 4/3*q = 0.
-1, 0
Let m(x) be the first derivative of x**5/5 - 9*x**4/2 + 101*x**3/3 - 66*x**2 - 252*x + 321. Solve m(j) = 0.
-1, 6, 7
Let b = -111 + 102. Let q(y) = y**2 + 9*y - 6. Let f(i) = -3*i**2 - 18*i + 12. Let n(h) = b*q(h) - 4*f(h). Factor n(j).
3*(j - 2)*(j - 1)
Factor 9 - 5*h - 138639*h**2 + 138638*h**2 - 3*h + 0.
-(h - 1)*(h + 9)
Let l(u) be the first derivative of u**6/3 - 6*u**5/5 - u**4/2 + 2*u**3 - 669. Factor l(h).
2*h**2*(h - 3)*(h - 1)*(h + 1)
Let w(f) be the third derivative of f**5/40 - f**4/16 - f**3/2 + f**2 - 232*f. Solve w(h) = 0.
-1, 2
Let d be ((-890)/(-1424))/((10/(-3))/(-2)). Factor -d + 1/8*k**2 - 1/4*k.
(k - 3)*(k + 1)/8
Let t(h) = 3*h**2 - 1. Let w(x) be the first derivative of x**3/3 + x**2/2 + x - 10. Let b(u) = -t(u) + 2*w(u). Find j such that b(j) = 0.
-1, 3
Suppose 3*c = -4*p + 2 - 6, -5*c = -4*p + 28. Factor -3*u**4 - 2*u**5 - 3*u**2 + p*u**4 - u + 4*u**4 - u**3 + 4*u**5.
u*(u - 1)*(u + 1)**2*(2*u + 1)
Suppose 8/7*g**3 + 30/7 - 116/7*g - 18/7*g**2 = 0. Calculate g.
-3, 1/4, 5
Let x = 438 - 2187/5. Factor 0 + 0*u - 3/5*u**2 + x*u**3.
3*u**2*(u - 1)/5
Suppose x + n + 11 - 13 = 0, x = -5*n - 6. Factor -10 - x*a - 2/5*a**2.
-2*(a + 5)**2/5
Let r(w) be the third derivative of 1/960*w**5 - 9*w**2 + 0 + 0*w - 1/2880*w**6 + 3/2*w**3 + 1/96*w**4. Let u(y) be the first derivative of r(y). Factor u(j).
-(j - 2)*(j + 1)/8
Let y be (-736)/(-384) - 3/(-4). Determine t so that -19*t**2 - y - 38/3*t - 5/3*t**4 - 32/3*t**3 = 0.
-4, -1, -2/5
Let v(l) be the third derivative of -l**3 + 0*l - 3/8*l**4 - 1/20*l**5 + 13*l**2 + 0. Factor v(r).
-3*(r + 1)*(r + 2)
Let x(w) = -4*w**5 + 4*w**4 + 8*w**3 - 8*w**2 + 2*w + 4. Let i(s) = -8*s**5 + 8*s**4 + 16*s**3 - 16*s**2 + 3*s + 8. Let u(v) = 6*i(v) - 11*x(v). Factor u(a).
-4*(a - 1)**3*(a + 1)**2
Let i(r) be the first derivative of r**6/27 + 28*r**5/45 + 43*r**4/18 + 20*r**3/9 + 109. What is s in i(s) = 0?
-10, -3, -1, 0
Let m(f) be the first derivative of 2*f**5/45 + 4*f**4/9 + 10*f**3/9 - 4*f**2/9 - 40*f/9 - 109. Factor m(i).
2*(i - 1)*(i + 2)**2*(i + 5)/9
Let g = -4 + -1. Let y = g - -7. Determine r so that -11 - 3*r**2 + 37*r - 53 - 5*r - r**y = 0.
4
Suppose -2*m - 4*s - 12 = 0, 11*m - s = 7*m + 12. Determine k so that 16*k**3 + 0 + 8/3*k - 20/3*k**4 - 12*k**m = 0.
0, 2/5, 1
Let v(n) be the third derivative of -n**8/63 + 58*n**7/315 - 61*n**6/180 + n**5/18 + n**4/6 - 70*n**2. Solve v(b) = 0.
-1/4, 0, 1/2, 1, 6
Let m(p) be the third derivative of -p**6/360 - p**5/20 - 5*p**4/24 - 7*p**3/18 - 343*p**2. Factor m(k).
-(k + 1)**2*(k + 7)/3
Let r(f) be the first derivative of f**9/3024 - f**7/840 + 8*f**3/3 - 19. Let h(s) be the third derivative of r(s). Let h(c) = 0. What is c?
-1, 0, 1
Let w be 2*1/8 - 3180/(-80). Let b be (1/(-14))/((-10)/w). Factor -b + 0*u + 2/7*u**2.
2*(u - 1)*(u + 1)/7
What is m in -m - 632*m**4 + 631*m**4 + 3*m + m**2 + 2*m**2 = 0?
-1, 0, 2
Let j be 128/62 - 30/465. Let w(b) be the second derivative of 13*b - 1/2*b**6 + 0 + 5/42*b**7 + 0*b**j - 5/3*b**3 + 1/4*b**5 + 5/4*b**4. Factor w(z).
5*z*(z - 2)*(z - 1)**2*(z + 1)
Let m be 4/(-12)*126/(-3). Suppose -6*w + w - 2*h = -8, 5*w = 4*h + m. Suppose 30*q**2 + w + 14*q - 7*q**3 + 17*q**3 + 8*q**3 = 0. Calculate q.
-1, -1/3
Suppose q - 4 = -0. Suppose -4*f**5 + 4*f**4 + 2*f**3 - 4*f**2 + 3*f**5 + f**3 + 2*f**5 - q*f = 0. What is f?
-2, -1, 0, 1
Let w = -32 - -23. Let o be w/(-12) + (-6)/(-12). Factor 1 - 3/8*m**3 - 1/2*m - o*m**2.
-(m + 2)**2*(3*m - 2)/8
Let i be ((-5292)/(-9408))/((18/8)/3). Solve -1/2*g**2 - 1/2 + i*g**3 - 7/4*g = 0 for g.
-1, -1/3, 2
Solve 16 + 4/3*y**2 + 52/3*y = 0 for y.
-12, -1
Let o = 626/5 - 125. Factor o*v + 0 + 1/5*v**4 - 1/5*v**3 - 1/5*v**2.
v*(v - 1)**2*(v + 1)/5
Let a = -9 + 11. Factor 8*q**4 + 2*q**2 - 10*q**4 + a*q - 2*q.
-2*q**2*(q - 1)*(q + 1)
Solve 34/5*y**3 - 4/5*y**2 - 14/5*y**4 + 0 - 16/5*y = 0.
-4/7, 0, 1, 2
Let d = 8989/19 - 473. Find n, given that 0*n - 2/19*n**2 + d = 0.
-1, 1
Let t(b) = -6*b - 19. Let l be t(-4). Let c(w) = -w**2 + 10*w - 25. Let z be c(l). Factor 1/2*q**2 + z + 1/4*q - 1/2*q**4 + 0*q**3 - 1/4*q**5.
-q*(q - 1)*(q + 1)**3/4
Let n(q) = q**3 + 5*q**2 - q - 4. Let d be n(-5). Let h be -9*d*(0 + -1). Solve -5*o**2 + 9*o**2 - 7*o**2 - 6 + h*o = 0 for o.
1, 2
Let r be 12/(0 - (-9)/(-174)). Let x be r/(-156) - (-14)/(-91). Let -1/3*z - z**5 + 0 - 2/3*z**2 + x*z**3 + 2/3*z**4 = 0. What is z?
-1, -1/3, 0, 1
Let k(b) be the second derivative of b**6/90 + 2*b**5/15 + 19*b**4/36 + 2*b**3/3 + 264*b. Factor k(o).
o*(o + 1)*(o + 3)*(o + 4)/3
Let -c**3 + 12*c**4 + 4493*c**5 - 72*c - 28*c**2 + 29*c**3 - 4497*c**5 - 32 = 0. Calculate c.
-1, 2, 4
Let m = 965 + -5789/6. Let h(l) be the second derivative of 0*l**2 - 2/15*l**6 + m*l**3 + 1/42*l**7 + 3/10*l**5 + 0 - 1/3*l**4 + 4*l. Solve h(v) = 0 for v.
0, 1
Let x be (-208)/(-28) - 12/28. Let s(h) be the second derivative of -3/10*h**2 - 1/5*h**3 + 0 + x*h - 1/20*h**4. Suppose s(z) = 0. What is z?
-1
Suppose 0 = t + 11 + 105. Let p = 119 + t. Determine r so that -1/5*r**2 + 0*r**p + 0*r + 0 + 1/5*r**4 = 0.
-1, 0, 1
Let k(r) be the second derivative of 6*r + 2/15*r**5 - 3*r**2 + 0 + 1/60*r**6 + 1/3*r**4 + 0*r**3. Let p(u) be the first derivative of k(u). Solve p(s) = 0.
-2, 0
Let z(x) be the third derivative of 2*x**7/105 - 19*x**6/30 + 34*x**5/15 - 84*x**2. Determine n so that z(n) = 0.
0, 2, 17
Factor -20/7 + 26/7*a + 4*a**2.
2*(2*a - 1)*(7*a + 10)/7
Find s, given that -8*s**2 + 262 - 76 - 12*s**2 - 66 + 475*s = 0.
-1/4, 24
Find n, given that 7569/7*n + 261/7*n**2 + 3/7*n**3 + 73167/7 = 0.
-29
Let v(f) be the first derivative of f**6/280 + f**5/28 + 23*f**2/2 + 5. Let l(y) be the second derivative of v(y). Factor l(r).
3*r**2*(r + 5)/7
Let m(j) = 8*j**3 + 48*j**2 + 97*j + 60. Let r(w) = 65*w**3 + 385*w**2 + 775*w + 480. Let k(o) = 25*m(o) - 3*r(o). Suppose k(s) = 0. What is s?
-6, -2, -1
Let p(z) be the second derivative of 0 + 16*z + 0*z**2 + 1/10*z**6 + z**3 - 1/4*z**4 - 3/10*z**5. Factor p(x).
3*x*(x - 2)*(x - 1)*(x + 1)
Suppose 4*z - 1 = 3. Suppose p - z - 1 = 0. Let p*x**3 - 5*x**3 - x**4 + x**4 + 3*x + 3*x**4 - 3*x**2 = 0. What is x?
-1, 0, 1
Suppose 6*b**2 - 2*b**5 - 17 + 5*b**5 + 39*b - 42*b**3 + 10 - 14 + b**4 + 14*b**4 = 0. What is b?
-7, -1, 1
Let a = -6383/380 - -322/19. Let c(s) be the second derivative of 0*s**3 + a*s**5 - 9*s - 1/14*s**7 + 0 + 0*s**6 + 0*s**4 + 0*s**2. Solve c(i) = 0.
-1, 0, 1
Suppose 0 = 9*m + 6*m. Let f(g) be the second derivative of 0*g**2 + 4*g + m - 2*g**3 - 1/3*g**4. Suppose f(s) = 0. What is s?
-3, 0
Let y(o) = -15*o**2 + 33*o + 9. Let v(f) = -7*f**2 + 16*f + 4. Let m be ((5 - 1) + -5)/((-2)/18). Let h(b) = m*v(b) - 4*y(b). Let h(t) = 0. Calculate t.
0, 4
Let n(l) be the third derivative of -l**8/420 + l**6/30 - 2*l**4/15 - 448*l**2. Solve n(p) = 0.
-2, -1, 0, 1, 2
Let g(y) = y + 7. Let r be g(-4). Determine o so that -11*o**3 + 0*o**3 - 4*o**r - 10*o**2 - 16*o**4 + 11*o**4 = 0.
-2, -1, 0
Factor 11*g**3 + 224*g + 3*g**3 - 54*g**2 + 168*g**2 - 4*g**3 + 72.
2*(g + 2)*(g + 9)*(5*g + 2)
What is d in 36*d + 0*d**3 + 24*d**2 - 4*d**3 - 1194 + 1138 = 0?
-2, 1, 7
Let c(g) = 14*g - 52. Let d be c(4). Let x(o) be the second derivative of -o + 9/17*o**2 + 2/17*o**3 + 0 + 1/102*o**d. Factor x(m).
2*(m + 3)**2/17
Let r = 46/267 - 1/178. Let i(t) be the third derivative of 3/4*t**4 + 2/3*t**3 + 0*t - 3/20*t**6 - 6*t**2 - 1/15*t**7 + 0 + r*t**5. What is f in i(f) = 0?
-1, -2/7, 1
Let o(a) = a**2 - 28*a + 75. Let i be o(25). 