 - 10*v(c). Factor u(a).
4*(a - 2)*(a + 1)**2*(a + 6)
Suppose 3 = 4*q + 3*f, -3*f = q + 5 + 1. Suppose -15*d**3 - 8*d - 6*d - 62*d**2 - q*d**2 - 6*d = 0. Calculate d.
-4, -1/3, 0
Find o, given that 12/5*o**4 - 2/5*o**5 + 24/5*o - 8/5*o**2 - 18/5*o**3 + 0 = 0.
-1, 0, 2, 3
Suppose -11*u = -5*u - 108. Let q = -14 + u. Factor -6/5*j**5 + 0*j**2 + 0 - 2/5*j**q + 0*j + 4/5*j**3.
-2*j**3*(j + 1)*(3*j - 2)/5
Find y such that y**3 - 34/3 - 56/3*y**2 + 29*y = 0.
2/3, 1, 17
Suppose 2*x + 6 = 0, -2*s = -5*s - x + 1446. Let f = s + -939/2. Let 9*j**2 + f*j**3 + 0 + 3/2*j + 6*j**4 = 0. What is j?
-1, -1/4, 0
Let z(m) be the third derivative of -2*m**2 + 0 + 1/2*m**4 + 0*m - 1/60*m**5 - 6*m**3. Factor z(a).
-(a - 6)**2
Let z(f) = -1. Let u(j) = 5*j**2 - 140*j - 147. Let i(g) = u(g) - 2*z(g). Let i(x) = 0. Calculate x.
-1, 29
Let o(a) be the third derivative of a**7/350 + a**6/50 + a**5/25 + 23*a**2. Suppose o(p) = 0. Calculate p.
-2, 0
Let b be (15/9)/(20/24). Let d be ((-2)/(-9))/(b + -1). Suppose -d*a - 2/9 + 2/9*a**3 + 2/9*a**2 = 0. Calculate a.
-1, 1
Suppose -4*j - 39 = 2*i + 37, -5*i + 4*j = 232. Let l = i + 48. Factor 0*q**3 - 1/3*q**l - 1/3 + 0*q + 2/3*q**2.
-(q - 1)**2*(q + 1)**2/3
Let v = 44 + -41. Factor -8*a**3 + 2*a**2 - 2*a - 8*a**3 - 2 + 26*a**v - 8*a**3.
2*(a - 1)*(a + 1)**2
Let m be -3 - 344/(-112) - (-30)/168. What is c in 1/2*c + 1/4 + m*c**2 = 0?
-1
Let y(k) be the third derivative of k**8/336 - k**7/70 + k**6/120 + k**5/20 - k**4/12 + 197*k**2. Factor y(l).
l*(l - 2)*(l - 1)**2*(l + 1)
Let h(t) be the third derivative of 1/4*t**5 - 1/40*t**6 + 2*t**2 - 3/8*t**4 - 9/2*t**3 + 0 + 0*t. Factor h(y).
-3*(y - 3)**2*(y + 1)
Let b(p) be the second derivative of p**7/56 + 3*p**6/40 + 3*p**5/40 - 115*p. Let b(d) = 0. What is d?
-2, -1, 0
Let g(d) be the second derivative of -d**7/315 - d**6/45 + d**5/25 + 67*d - 3. Suppose g(u) = 0. What is u?
-6, 0, 1
Factor -1/5*f**2 - 1/5*f + 1/5*f**3 + 1/5.
(f - 1)**2*(f + 1)/5
Let l(x) = -9*x**3 - 15*x**2 + 45*x + 49. Let y(q) = q**4 - 2*q**2 - 1. Let k(v) = -2*l(v) + 2*y(v). Factor k(c).
2*(c - 2)*(c + 1)*(c + 5)**2
Let m be (2 + (-64)/28)*(-28)/48. Let q(d) be the first derivative of 2/3*d**3 + m*d**6 - 1/4*d**4 + 4 - 2/5*d**5 + 0*d + 0*d**2. Let q(n) = 0. Calculate n.
-1, 0, 1, 2
Let q = -6/61 - -205/1464. Let a(t) be the third derivative of 0 + 6*t**2 + q*t**4 + 1/120*t**5 + 0*t**3 + 0*t. Factor a(c).
c*(c + 2)/2
Let i be 7 + 13 + 275/(-22). Determine c, given that 3/2*c**5 - 9*c + 27/4*c**4 - 15/4*c**2 - 3 + i*c**3 = 0.
-2, -1, -1/2, 1
Suppose -7*i = 3*i - 40. Factor -37 - d**2 - i*d**2 + 47 + 5*d.
-5*(d - 2)*(d + 1)
Let s(o) be the second derivative of 7*o**4/4 + 47*o**3/2 - 21*o**2 - 2*o - 52. Find b such that s(b) = 0.
-7, 2/7
Suppose 2*b + 14 = 5*v, 2*b + 3*v - 18 = -0. Suppose -66*n = -4*n + 30*n. Factor 0 + 1/3*f**b - 1/6*f**4 + n*f - 1/6*f**2.
-f**2*(f - 1)**2/6
Let k(y) be the first derivative of y**6/5 + 4*y**5/25 - 3*y**4/5 - 8*y**3/15 + 3*y**2/5 + 4*y/5 + 119. Solve k(c) = 0 for c.
-1, -2/3, 1
Factor -324 + u**4 + 32*u + 5*u**4 - 4*u**4 + u**4 + 211*u - 15*u**3 - 27*u**2.
3*(u - 3)**3*(u + 4)
Solve -161*l - 112*l**2 - 175*l - 84*l**2 - 151 + 7 = 0.
-6/7
Let q(t) be the first derivative of -1/9*t**3 + 1/3*t + 0*t**2 - 1. Factor q(s).
-(s - 1)*(s + 1)/3
Determine j, given that -15*j**5 + 300*j**3 - 14344*j**4 - 90*j**2 + 14454*j**4 - 65*j**3 = 0.
-2, 0, 1/3, 9
Let q(g) = g**2 + 6. Let o be q(0). Suppose -r - z - 4 = 0, 3*r - o*r + 5*z + 20 = 0. Factor -3*l**2 - 12/5*l**3 + r - 6/5*l - 3/5*l**4.
-3*l*(l + 1)**2*(l + 2)/5
Let y = -81 - -87. Suppose -y*v = -18*v. Let -3/4*d**4 + 3/4*d**5 + v*d**2 - 3/2*d**3 + 0 + 0*d = 0. What is d?
-1, 0, 2
Let g(y) = y**2 + 3 - 7*y - 4 + 8. Let i(w) = -15 + 4*w + 4*w + 3*w + 4*w - 2*w**2. Let p(m) = -14*g(m) - 6*i(m). Factor p(b).
-2*(b - 2)**2
Let y(t) be the first derivative of 12 + 0*t + 0*t**2 + 0*t**5 - 2*t**3 - 9/4*t**4 + 1/2*t**6. Let y(b) = 0. What is b?
-1, 0, 2
Let n = -1 - -5. Let g = -3996 - -3998. Suppose -6/13*s**g - 8/13*s**3 - 2/13*s**n + 8/13 + 8/13*s = 0. What is s?
-2, -1, 1
Let r(i) be the third derivative of -5*i**7/42 + 17*i**6/24 - i**5/2 - 25*i**4/6 + 20*i**3/3 - 11*i**2 + 2*i. What is q in r(q) = 0?
-1, 2/5, 2
Let i(h) be the third derivative of h**6/8 + 9*h**5/5 + 57*h**4/8 + 5*h**3 - 186*h**2. Factor i(y).
3*(y + 2)*(y + 5)*(5*y + 1)
Let s(u) = -4*u - 23. Let i be s(10). Let l = 71 + i. Factor 4 + 40/3*o + 16*o**2 + l*o**3 + 4/3*o**4.
4*(o + 1)**3*(o + 3)/3
Factor 0 + 0*x - 1/2*x**4 - 2738*x**2 + 74*x**3.
-x**2*(x - 74)**2/2
Let c(g) be the first derivative of -g**3/12 - 5*g**2/2 - 25*g - 275. Factor c(n).
-(n + 10)**2/4
Let b(r) be the third derivative of r**8/560 - r**7/175 - r**6/100 + r**5/25 + r**4/40 - r**3/5 + 26*r**2. Determine s, given that b(s) = 0.
-1, 1, 2
Let w = 35 - 29. Determine d so that -2*d - 5*d + w*d - 8*d**2 + 3*d = 0.
0, 1/4
Let k(v) be the first derivative of v**5/240 + v**4/32 - 9*v**2/2 + 15. Let g(s) be the second derivative of k(s). Factor g(l).
l*(l + 3)/4
Let q(h) be the first derivative of h**8/252 - 2*h**7/315 - h**6/90 + h**5/45 + 15*h**2/2 - 6. Let b(j) be the second derivative of q(j). Solve b(f) = 0 for f.
-1, 0, 1
Let o be (12/(-8) - -4) + 5 + -7. What is b in 5/2*b - o*b**2 - 1/2*b**3 - 3/2 = 0?
-3, 1
Solve 0 - 8/17*j + 256/17*j**2 - 1078/17*j**5 + 2396/17*j**4 - 1566/17*j**3 = 0.
0, 2/49, 2/11, 1
Let s(w) be the second derivative of 3*w**2 + 1/4*w**4 - 16*w + 0 + 3/2*w**3. Factor s(u).
3*(u + 1)*(u + 2)
Let r be 1 - (354/72 + -4). Let x = r + 7/60. Factor -4/5 + 1/5*u**3 + 3/5*u**4 - x*u**5 - 11/5*u**2 + 12/5*u.
-(u - 2)*(u - 1)**3*(u + 2)/5
Let t(s) = -6*s. Suppose -6 = 5*n + 2*m + m, 0 = 3*n - 2*m - 4. Let i be t(n). Find w such that 0*w + 0*w**4 + 0 - 2/3*w**3 + 2/3*w**5 + i*w**2 = 0.
-1, 0, 1
Suppose 0 = -k - 2*k + 3. Determine a so that -a**2 + 3 - 3*a - 2 - k = 0.
-3, 0
Let g(u) = -4*u + 1. Let b be g(-2). Let -5 + 84*p - 4 - b - 47*p**2 - 75*p**2 - 8*p**4 + 56*p**3 = 0. What is p?
1/2, 3
Let t(g) be the third derivative of 0*g**3 + 1/12*g**5 + 0*g + 1/3*g**4 + 0 - 2*g**2. Let w(l) = -9*l**2 - 15*l - 1. Let o(k) = 7*t(k) + 4*w(k). Factor o(r).
-(r + 2)**2
Let -7431*d**3 - 8720*d**2 - 28*d**5 + 2591*d**3 - 968 + 111*d**4 - 5500*d - 791*d**4 = 0. Calculate d.
-11, -1, -2/7
Let o be 10*4/(-8) - 254. Let h be 30/330 + o/(-55). Factor 12/5*i**4 + 8/5*i + 0 + 2/5*i**5 + h*i**2 + 26/5*i**3.
2*i*(i + 1)**2*(i + 2)**2/5
Let h(g) be the third derivative of 0 + 0*g**7 + 1/380*g**6 + 0*g**3 - 1/285*g**5 - g**2 + 0*g + 0*g**4 - 1/3192*g**8. Solve h(z) = 0.
-2, 0, 1
Let q = -49 - -54. Solve -10*w**q + 12 - 12 + 9*w**5 + w**3 = 0 for w.
-1, 0, 1
Let d(n) be the third derivative of n**6/480 - n**5/120 + n**4/96 + 48*n**2. Factor d(y).
y*(y - 1)**2/4
Let p be 17 + 13 + -20 + (-44)/5. Factor 2/5*q**2 - p*q - 4.
2*(q - 5)*(q + 2)/5
Suppose 0 = 5*f + 3*w + 3, 2*f + 5*w + 49 = 25. Suppose 1/4*n**4 + 9/4*n + 7/4*n**f + 15/4*n**2 + 0 = 0. What is n?
-3, -1, 0
Let g(c) = 86*c**2 - 33*c + 11. Let s(z) = -85*z**2 + 30*z - 9. Let m(x) = 4*g(x) + 5*s(x). Factor m(k).
-(9*k - 1)**2
Let g = -67/6 + 149/12. Let y(j) be the first derivative of -g*j**4 - 5 + 20/3*j**3 + 0*j**2 + 0*j. Determine n so that y(n) = 0.
0, 4
Let q(r) = 14*r**3 - 80*r**2 + 1144*r + 1256. Let x(z) = 16*z**3 - 77*z**2 + 1143*z + 1257. Let b(o) = 7*q(o) - 6*x(o). Determine g, given that b(g) = 0.
-1, 25
Let d(f) be the third derivative of 1/300*f**6 + 5*f**2 + 0*f**3 + 0 + 1/75*f**5 + 0*f + 1/60*f**4. Solve d(k) = 0.
-1, 0
Let j = 1898 - 18979/10. Let c(m) be the third derivative of 0 - 1/12*m**4 + 1/60*m**6 + 5*m**2 - j*m**5 + m**3 + 0*m. Factor c(w).
2*(w - 3)*(w - 1)*(w + 1)
Let b = -4609 + 27655/6. Factor 1/3*n - b*n**2 + 0.
-n*(n - 2)/6
Let a(s) be the first derivative of 4*s**2 - 4/3*s**3 + 0*s - 7 - s**4. Factor a(m).
-4*m*(m - 1)*(m + 2)
Let v(z) be the first derivative of z**4/3 + 88*z**3/9 - 46*z**2/3 + 208. Determine x, given that v(x) = 0.
-23, 0, 1
Let c = 149/9 + -49/3. Factor -2/9*r**4 - c*r**5 + 10/9*r**3 + 0 + 0*r - 2/3*r**2.
-2*r**2*(r - 1)**2*(r + 3)/9
Let t(s) be the third derivative of s**7/70 + 3*s**6/40 - s**5/5 - 3*s**4/2 - 128*s**2. Factor t(p).
3*p*(p - 2)*(p + 2)*(p + 3)
Let i be 1 + -1 + 1 - (0 - 19). Let w be -1*((-84)/