 g - 24/7*f + 2/7*f**4 + 8/7*f**3 = 0.
-3, 1
Suppose -124*u**3 - 2 - 5*u + 123*u**3 - 3*u**2 - u**2 = 0. Calculate u.
-2, -1
Let -1/3*d**2 + 42*d - 1323 = 0. What is d?
63
Let j be (-141)/(-94)*7/3. Suppose 3*y - 4*y = -4*v + 17, 2*v - y - 11 = 0. Factor 6*i - 2 - j*i**v + 9/2*i**2.
-(i - 2)*(i + 1)*(7*i - 2)/2
Suppose -3*h - 9 = -42. Determine z, given that z**4 + 6*z**3 - h*z**3 + 4*z**3 = 0.
0, 1
Let z(a) be the first derivative of 25*a**4/2 + 65*a**3/3 + 15*a**2/2 + 318. Suppose z(u) = 0. Calculate u.
-1, -3/10, 0
What is v in -22/3*v**2 + 112/9*v - 8/9*v**4 - 56/9*v**3 - 32/9 = 0?
-4, 1/2
Let q(o) be the second derivative of o**7/1365 + o**6/260 - 14*o**2 - 12*o. Let w(m) be the first derivative of q(m). Solve w(t) = 0.
-3, 0
Let y be -2 + (9 - 4) + -5 + 2. Suppose -16*p + 10 = -11*p. What is c in -4/5*c**p + y*c + 16/5 = 0?
-2, 2
Suppose -4*g + 12 = -5*j, 5*g + 0*g - 3*j = 15. Factor -5*x**2 + 14*x**g - 7*x + 15*x**2 + 11*x - 6*x**3 + 2*x**4.
2*x*(x + 1)**2*(x + 2)
Factor -3*a + 1/5*a**2 - 34/5.
(a - 17)*(a + 2)/5
Let b(j) be the second derivative of 4*j - 2*j**2 - 7/3*j**3 + 0 + 7/10*j**5 + 1/3*j**4. Solve b(n) = 0.
-1, -2/7, 1
Let g be 2/9 + ((-24)/(-135) - 0). Let r(s) be the second derivative of s**4 - 2*s**2 + 0 + g*s**5 - 6*s + 0*s**3. Let r(m) = 0. What is m?
-1, 1/2
Let t = -14217/5 + 2844. Suppose t*m - 6/5 + 3/5*m**2 = 0. What is m?
-2, 1
Suppose 5*j = 1 + 9. Factor -10*m - 24*m**2 + 0*m**3 - 2*m + 8*m**j - 4*m**3.
-4*m*(m + 1)*(m + 3)
Suppose -5*v + 18 = -32. Suppose -t + 5*z = -25 - 4, 0 = -2*z - v. Let -p**4 - p**t + 8*p**2 - 4*p - 6 - p**3 + 0*p**3 + 5*p**3 = 0. What is p?
-1, 1, 3
Let k(m) = -2*m**2 + 27*m + 17. Let q(p) = -3*p + 1. Let r(x) = 2*k(x) + 6*q(x). Solve r(d) = 0 for d.
-1, 10
Let z(q) be the first derivative of -8*q**2 + 9 + 16/3*q**3 + 0*q - q**4. Factor z(m).
-4*m*(m - 2)**2
Let y(l) = -7 + l**3 + 17*l**2 - 12*l**2 - 2*l - 6*l. Let k be y(-6). Factor 2*x**3 + 3*x**3 + 20*x**2 + 10*x**3 - k*x**4.
-5*x**2*(x - 4)*(x + 1)
Let n(y) be the third derivative of 3*y**2 + 8/15*y**6 + 0 + 0*y**3 + 1/6*y**4 - 8/15*y**5 + 0*y. Let n(g) = 0. Calculate g.
0, 1/4
Let y(v) be the third derivative of 1/1575*v**7 + 0*v + 38*v**2 + 0 - 1/2520*v**8 + 0*v**4 + 0*v**3 + 1/450*v**6 + 0*v**5. Factor y(h).
-2*h**3*(h - 2)*(h + 1)/15
Let z(l) be the third derivative of -l**10/264600 - l**9/52920 - 2*l**5/15 + 16*l**2. Let c(a) be the third derivative of z(a). Suppose c(p) = 0. Calculate p.
-2, 0
Let s(m) be the first derivative of 9/2*m**2 + 22 - 6*m - 3/4*m**4 + 0*m**3. Factor s(v).
-3*(v - 1)**2*(v + 2)
Suppose -45*o**2 + 55*o - 4*o**4 + 5*o**3 + 9*o**4 - o**4 - 20 - o**4 + 2*o**4 = 0. Calculate o.
-4, 1
Suppose -1/5*f**2 - 2*f - 5 = 0. What is f?
-5
Let -20*q + 13 - 5 + 16*q**3 + 19448*q**4 + 4*q**3 - 19420*q**4 - 36*q**2 = 0. What is q?
-1, 2/7, 1
Let l = 28 + -26. Factor 0*o**2 - 14*o**2 - 3*o**l + 8*o**3 + 8*o**5 + 20*o**4 + o**2 - 16*o - 4.
4*(o - 1)*(o + 1)**3*(2*o + 1)
Let y(x) be the third derivative of x**10/211680 + x**9/105840 - 5*x**4/12 - 17*x**2. Let o(a) be the second derivative of y(a). Factor o(c).
c**4*(c + 1)/7
Factor -15*b**2 + 10*b + 20 + 5/2*b**4 - 5/2*b**3.
5*(b - 2)**2*(b + 1)*(b + 2)/2
Let p(a) = -26*a**3 - 162*a**2 - 432*a - 5. Let l(r) = -63*r**3 - 405*r**2 - 1080*r - 12. Let n(c) = 5*l(c) - 12*p(c). Solve n(o) = 0 for o.
-24, -3, 0
Let b(j) be the first derivative of 0*j - 1/18*j**3 - 1/24*j**4 + 4 + 0*j**2. Factor b(h).
-h**2*(h + 1)/6
Let n(z) = -z**2 - 9*z - 8. Let b be n(-7). Suppose 0 = -3*d - 0*d + b. Factor 0*u**2 + u**d + u**2 + 4*u - 6*u.
2*u*(u - 1)
Let v(i) = -3*i + 19. Let u be v(6). Let -1 + u - 3*l**3 = 0. Calculate l.
0
Solve -f**3 + 66*f**4 - 6*f**2 + 86*f + 63*f**5 - 2*f**3 - 86*f = 0 for f.
-1, -1/3, 0, 2/7
Let h(n) = 6 + n + 4 + 0*n + 0*n. Let f be h(-6). Factor 5*k**3 - 9*k**3 + 2*k**4 + f*k**3 - 2*k**2.
2*k**2*(k - 1)*(k + 1)
Let g be 230/360*4 + (-1)/(-9). Factor 0 + 0*a**2 + g*a**3 - 2/3*a**4 + 0*a.
-2*a**3*(a - 4)/3
Suppose 0*j + 3*j = 18. Suppose 0 = j*m - 13 - 5. Factor 3/5*o**m - 3/5*o - 3/5*o**2 + 3/5.
3*(o - 1)**2*(o + 1)/5
Suppose 6*n - 3*n**4 + 3*n**5 - 2 + 20 - 9*n**3 + 3*n**2 - 18 = 0. What is n?
-1, 0, 1, 2
Let j(m) = 5*m + 54. Let k be j(10). Factor -207*r**2 + k*r**2 - 8*r + 99*r**2 - 4.
-4*(r + 1)**2
Let g(l) be the third derivative of 0*l - 7/180*l**6 - 2/27*l**5 - 4*l**2 + 0 - 1/27*l**4 + 0*l**3. Let g(y) = 0. Calculate y.
-2/3, -2/7, 0
Let n(v) = -v**2 + 10*v + 61. Let x be n(14). Factor 4*m**2 - 10*m**3 - x*m**4 + 18*m**3 + m**2 + 5*m**5 - 13*m**3.
5*m**2*(m - 1)**2*(m + 1)
Let k(l) = 5*l - 9. Let u be k(2). Let b be (u/5)/(-1) + 1/5. Suppose b + 3/4*q**2 - 3/2*q = 0. What is q?
0, 2
Suppose -2/9*y**2 + 0 + 2/9*y**3 + 2/9*y**4 - 2/9*y = 0. What is y?
-1, 0, 1
Let q = 13458/11 + -1222. Let o = 19934/11 + -1810. Factor -2/11*p**3 - 12/11*p**2 - o*p - q.
-2*(p + 2)**3/11
Let 4/3*r**3 + 52/3*r**2 - 4/3*r - 52/3 = 0. What is r?
-13, -1, 1
Let l(n) be the second derivative of n**5/50 - 2*n**4/45 - 4*n**3/45 + 27*n - 1. Find u such that l(u) = 0.
-2/3, 0, 2
Let u(w) = -w**4 - w**3 - w - 4. Let c(n) = 5*n**4 - 268*n**3 - 12558*n**2 - 188317*n + 97364. Let m(i) = 2*c(i) + 14*u(i). Factor m(y).
-2*(y + 46)**3*(2*y - 1)
Let v = 893189/61464 - -25/2561. Let m = v - 111/8. Solve -2/3*n**2 + 2/3*n**5 - 8/3 + 16/3*n - 10/3*n**3 + m*n**4 = 0.
-2, 1
Let g(s) be the second derivative of -s**7/231 - 2*s**6/55 - 7*s**5/110 + s**4/11 + 8*s**3/33 - 59*s. Solve g(y) = 0 for y.
-4, -2, -1, 0, 1
Suppose 3*j + 0*j + 4*p = 5, 2*j = -4*p + 2. Factor -13*i**2 + i**2 + 4*i**4 - 22*i + 39*i + 4*i**j - 21*i + 8.
4*(i - 1)**2*(i + 1)*(i + 2)
Let u = 1051 + -1049. Let k(y) be the third derivative of 1/12*y**4 - 1/120*y**6 - 2*y**u - 1/60*y**5 + 0*y + 0*y**3 + 0. Factor k(w).
-w*(w - 1)*(w + 2)
Let i(s) = -s**3 - 9*s**2 - 10*s - 12. Let g be i(-8). Suppose g*l = 2 + 22. Solve -4*h**2 + l*h**3 + 12 + 4*h + 0 - 12*h**2 - 14*h = 0 for h.
-1, 2/3, 3
Let s be 8/(-20)*(-5)/4. Let l(n) be the second derivative of 0 - n + 1/20*n**5 + 1/2*n**2 + s*n**3 + 1/4*n**4. Factor l(p).
(p + 1)**3
Let i(h) be the second derivative of -1/336*h**7 + 1/16*h**2 - 1/48*h**3 - 1/48*h**4 + 1/80*h**5 + 1/240*h**6 + 7*h + 0. Solve i(w) = 0.
-1, 1
Let m = -24 + 75. Let k = m - 48. Determine l, given that l**2 + 0 - 1/2*l - 1/2*l**k = 0.
0, 1
Let o(y) be the third derivative of -y**8/3360 - y**7/1050 + 7*y**6/240 + 3*y**5/25 + 3*y**4/20 - 159*y**2 - y. What is n in o(n) = 0?
-6, -1, 0, 6
Factor 23*z - 12*z + 20*z + 17*z - 4*z**2.
-4*z*(z - 12)
Suppose 45*f = -112 + 2272. Factor 9/2*p**3 - 33*p**2 + 48*p + f.
3*(p - 4)**2*(3*p + 2)/2
Let n(c) be the first derivative of c**4/3 + 4*c**3/3 + 6. Determine y so that n(y) = 0.
-3, 0
Let c(w) be the third derivative of -w**6/480 - w**5/24 - 11*w**4/32 - 3*w**3/2 - 10*w**2 + 16. Factor c(s).
-(s + 3)**2*(s + 4)/4
Let u(t) = -12*t**2 + 97*t + 27. Let h(m) = 6*m**2 - 49*m - 13. Let f(k) = 5*h(k) + 3*u(k). Find b, given that f(b) = 0.
-1/3, 8
Let y be (4/12)/((-2)/(-30)). Suppose 2*f = -1 + y. Factor -a**3 + 4*a - 7*a**f + 2*a + 4*a**3 - 2*a**2.
3*a*(a - 2)*(a - 1)
Let z(i) = -37*i + 109*i - 14 - 35*i - 39*i. Let d be z(-8). Suppose 1 - 13/2*n + 11/2*n**d = 0. Calculate n.
2/11, 1
Let x be -1*2 + (-5)/1. Let f(k) = -k**3 - 7*k**2 - k - 2. Let a be f(x). Suppose -3*t**2 - 10*t + 8*t + a*t = 0. Calculate t.
0, 1
Let a(m) be the first derivative of -m**5/90 - 7*m**4/18 - 49*m**3/9 - 343*m**2/9 + 22*m - 5. Let f(i) be the first derivative of a(i). What is s in f(s) = 0?
-7
Let p be (1/(-2)*0)/2. Determine j, given that -4 + 2*j**2 - 6*j**4 + 0*j**4 + 8*j**2 + p*j**3 - 2*j + 2*j**3 = 0.
-1, -2/3, 1
Factor 182*j + 89*j**2 - 102*j - 84*j**2.
5*j*(j + 16)
Let c(d) be the second derivative of d**5/12 + 35*d**4/18 - 5*d**3/18 - 35*d**2/3 + 6*d + 30. Suppose c(f) = 0. Calculate f.
-14, -1, 1
Let i be -1 - ((-63)/81 + (-1)/4). Let o(h) be the second derivative of -1/6*h**2 - h + i*h**4 + 0 + 0*h**3. Solve o(b) = 0 for b.
-1, 1
Let n be (10/4)/((-15)/(-12)). Let t = 8 + n. Factor t*u - 2 + 7 - 49*u**2 + 54*u**2.
5*(u + 1)**2
Let r(b) = -2*b**3 + 26*b**2 - 91*b + 519. Let a be r(11). Factor -8/11*j + 8/11*j**a - 2/11*j**3 + 0.
-2*j*(j - 2)**2/11
Let v(k) be the second derivative of 1/40*k**6 + 3/2*