Let 20/3*d**3 + x*d**4 + 0*d + 0*d**2 + 0 = 0. What is d?
-10, 0
What is i in 6*i**3 + 27/7*i + 3/7*i**5 - 6/7 - 48/7*i**2 - 18/7*i**4 = 0?
1, 2
Let z(q) be the first derivative of -9*q**5/5 - 12*q**4 - 15*q**3 + 9*q**2 + 24*q - 95. Let z(p) = 0. Calculate p.
-4, -1, 2/3
Let x(f) = -f**2 + f - 16. Let i be x(-4). Let a be ((-108)/i)/(6/4). Let -2*p - 3/2*p**a + 1/2*p**4 + 2 + p**3 = 0. What is p?
-2, 1
Let w(u) = -117*u**2 - 203*u - 83. Let o(b) = -29*b**2 - 51*b - 21. Let a = 27 + -5. Let h(m) = a*o(m) - 6*w(m). Factor h(v).
4*(4*v + 3)**2
Let h(j) be the third derivative of -36*j**2 + 2/105*j**7 + 0*j + 0*j**3 + 1/10*j**6 + 2/15*j**5 + 0*j**4 + 0. Let h(b) = 0. What is b?
-2, -1, 0
Let k be (-15)/105*(29/(-2) - (-23)/46). Solve -2/13*o - 18/13*o**3 - 12/13*o**k + 0 = 0.
-1/3, 0
Suppose 178*m = 238*m - 360. Let u(n) be the second derivative of m*n - 5/12*n**4 + 0*n**3 + 5/2*n**2 + 0. Let u(c) = 0. What is c?
-1, 1
Let c = 73 + -74. Let n be 2/(c - (-3 + -3 - -4)). Let -8/5 - 8/5*w - 2/5*w**n = 0. Calculate w.
-2
Suppose -z + 3 = a - 0, -3*a = -2*z + 31. Let y(n) = n**2 - 5*n - 19. Let q be y(z). Factor 6*i**q - 8*i**5 + 4*i**5 - 2*i**4.
2*i**4*(i - 1)
Find k such that 2*k**2 + 0 - 1/4*k**5 - 5/4*k**4 - 1/2*k**3 + 0*k = 0.
-4, -2, 0, 1
Let j(b) be the third derivative of -1/210*b**5 + 0*b + 1/420*b**6 - 45*b**2 + 0*b**4 + 1/735*b**7 - 1/1176*b**8 + 0*b**3 + 0. What is r in j(r) = 0?
-1, 0, 1
Let o(k) be the third derivative of k**7/2520 - k**6/360 + 7*k**4/12 + 11*k**2. Let v(f) be the second derivative of o(f). Factor v(r).
r*(r - 2)
Let o(r) be the first derivative of -19/8*r**4 + 3*r**3 - 6 - 7/20*r**5 + 3*r**2 + 0*r. Let f(l) be the second derivative of o(l). Factor f(m).
-3*(m + 3)*(7*m - 2)
Let y(d) = -d**3 - 7*d**2 + 5*d - 7. Let o be y(-8). Suppose -13*b = -o*b. Factor b*s + 0 + 24*s**3 - 16/3*s**2 - 20*s**4 + 14/3*s**5.
2*s**2*(s - 2)**2*(7*s - 2)/3
Let w = -46 - -47. Factor 4*u**4 + 4*u - u**3 - 12*u**2 - 3*u**3 + 7 + w.
4*(u - 2)*(u - 1)*(u + 1)**2
Let f = -1/36 - -19/36. Suppose 1863 = -53*l + 1969. Factor 3/4*j + 0*j**l - 1/4*j**3 - f.
-(j - 1)**2*(j + 2)/4
Let a(p) = -p**2 + 3*p - 1. Let d be a(2). Let o(y) = y**3 - 6*y**2 + 10*y - 5. Let r be o(4). Solve 9*l - 91/4*l**2 + 9/4*l**r - d + 35*l**4 = 0 for l.
-1, 1/4, 2/7, 2/5
Let n be (-308)/(-714) + 24/102. Find y such that n + 10/3*y + 8/3*y**2 = 0.
-1, -1/4
Suppose 4*m = -3*d + 24, 0 = -4*d + 5*m - 2 + 3. Suppose z = -2, -z = -d*k - 4*z + 14. Factor -1/5*f**k + 0*f**2 + 0*f**3 - 1/5*f**4 + 0 + 0*f.
-f**4*(f + 1)/5
Suppose 2*u + 4*b - 20 = 0, 4*u = 5*b - 1 - 24. Let m(g) be the second derivative of 2/3*g**3 + u*g**2 + 0 + 5*g + 1/6*g**4. Factor m(o).
2*o*(o + 2)
Let b(v) be the second derivative of v**6/10 - 21*v**5/20 - 2*v**4 - 51*v - 2. Suppose b(f) = 0. Calculate f.
-1, 0, 8
Factor 3/5*h**3 + 0*h + 0*h**2 - 1/5*h**5 + 0 + 2/5*h**4.
-h**3*(h - 3)*(h + 1)/5
Let n = 202994/1995 + 104/133. Let p = -298/3 + n. Factor 32/5 + 2/5*o**2 - p*o.
2*(o - 4)**2/5
Let f(z) = 2*z**2 - 9*z - 106. Let m be f(10). Factor -1/2*r**3 + r**2 - 1/2*r**m + 0*r + 0.
-r**2*(r - 1)*(r + 2)/2
Let -54 - 49*k + 23*k + 3*k**2 + 35*k = 0. What is k?
-6, 3
Let u be (6 + -1)*16/(-5). Let b be u/6*(-12)/8. Solve 52*w**5 - 2*w**b - 2*w**4 + 3*w**4 - 51*w**5 = 0.
0, 1
Let t(n) be the first derivative of n**3/3 - 3*n**2 + 2*n + 27. Let r be t(6). Factor 0*h + 1/3*h**r + 0.
h**2/3
Let n(w) be the first derivative of 1/3*w**3 + 0*w**4 - 36 - 1/5*w**5 + 0*w + 0*w**2. Factor n(c).
-c**2*(c - 1)*(c + 1)
Suppose 0 = 108*v - 107*v + 2*n, 3*n + 9 = 3*v. Let t(g) be the second derivative of 8/5*g**5 + 0 + 3*g**v + 28/3*g**4 + 25/3*g**3 + 2*g. Factor t(f).
2*(f + 3)*(4*f + 1)**2
Find z, given that -73/8*z**2 + 9/4*z + 1/4*z**5 - 41/8*z**4 + 0 + 47/4*z**3 = 0.
0, 1/2, 1, 18
Let n(u) = -3*u**2 - u + 1. Let o(k) = 20*k**2 - 8*k - 66. Let y(j) = -12*n(j) - 2*o(j). Factor y(z).
-4*(z - 10)*(z + 3)
Let a = 7 + -4. Suppose 139 = 5*d + 19. Let f(x) = -x**2 - x - 1. Let c(l) = 9*l**2 + 8*l + 7. Let t(s) = a*c(s) + d*f(s). Factor t(i).
3*(i - 1)*(i + 1)
Let o(h) be the second derivative of -h**6/90 + h**5/12 - 7*h**4/36 + h**3/6 + 44*h. Factor o(i).
-i*(i - 3)*(i - 1)**2/3
Let h(v) be the first derivative of 3/20*v**4 + 3/2*v**2 - 6/5*v**3 + 17 + 0*v. Suppose h(t) = 0. What is t?
0, 1, 5
Let i be 2308/(-16)*(-4)/1. Suppose -4*v**2 + i*v + 6 - 580*v + v**2 = 0. What is v?
-2, 1
Let k(l) = -l**3 - 2*l. Let w(d) = -3*d**3 - 2*d**2 - 5*d. Let t(z) = -4*k(z) + 2*w(z). What is m in t(m) = 0?
-1, 0
Let p = -72/11 - -392/33. Let z(c) be the first derivative of 4*c**2 - 2 + 3/2*c**4 + p*c**3 + 0*c. Suppose z(m) = 0. What is m?
-2, -2/3, 0
Let p(t) be the first derivative of 7*t**4/9 - 8*t**3/3 + 10*t**2/9 + 8*t/3 + 236. Determine r, given that p(r) = 0.
-3/7, 1, 2
Let q(w) be the third derivative of -1/60*w**5 - 1/24*w**4 - 1/480*w**6 + 0*w + 0 + 0*w**3 - 2*w**2. Factor q(v).
-v*(v + 2)**2/4
Let s(r) be the second derivative of -1/9*r**3 - 1/36*r**4 + 23*r + 0 + 1/2*r**2. Factor s(a).
-(a - 1)*(a + 3)/3
Determine a so that -16/5 + 32/5*a + 20*a**2 - 56/5*a**3 = 0.
-1/2, 2/7, 2
Let l(w) be the first derivative of -w**3/3 + 17*w**2/2 + 67. Let d be l(17). Factor 1/7*k**2 - 1/7*k**4 + 0*k + 0 + d*k**3.
-k**2*(k - 1)*(k + 1)/7
Let t(j) be the third derivative of j**5/20 + 2*j**4 + 32*j**3 + 29*j**2 - j. Factor t(c).
3*(c + 8)**2
Let r = 146 + -146. Let d(b) be the third derivative of 4*b**2 + 0*b + 1/12*b**4 + 1/30*b**6 + 1/210*b**7 + 1/12*b**5 + 0 + r*b**3. Solve d(l) = 0 for l.
-2, -1, 0
Let v(l) = 3*l**3 + 120*l**2 + 118*l + 41. Let t be v(-39). Factor 4/5 + 2*y**3 + 2/5*y**4 + 14/5*y + 18/5*y**t.
2*(y + 1)**3*(y + 2)/5
Suppose 5*i**3 - 77*i + 235*i + 94*i - i**3 - 324 + 68*i**2 = 0. Calculate i.
-9, 1
Let l(n) be the third derivative of n**6/24 - n**5/4 - 5*n**4/4 + 20*n**3/3 - 4*n**2 - 1. Factor l(g).
5*(g - 4)*(g - 1)*(g + 2)
Let i(s) be the second derivative of -s**6/180 - 7*s**5/40 - 137*s**4/72 - 31*s**3/4 - 27*s**2/2 + 5*s - 5. Factor i(y).
-(y + 1)*(y + 2)*(y + 9)**2/6
Suppose 25*u - 57 = -7. Let c(n) be the first derivative of 0*n**3 - 4/5*n**5 - n**4 + 0*n + 0*n**u - 5. Find t such that c(t) = 0.
-1, 0
Let x(d) = 368*d. Let j be x(2). Solve 736*u**3 + 4*u**2 - 2*u**4 - 2 - j*u**3 = 0.
-1, 1
Let c(t) be the first derivative of -t**4/36 + t**3/18 + 13*t + 22. Let j(w) be the first derivative of c(w). Find p such that j(p) = 0.
0, 1
Let s be 25/(-10)*(-13 + 11). Let f(n) be the second derivative of 3*n + 0*n**2 - 1/105*n**6 + 0*n**4 + 0*n**3 + 0*n**s + 0. Factor f(q).
-2*q**4/7
Suppose -6 - 15 + 5*z**3 - 9 - 21*z - 14*z = 0. Calculate z.
-2, -1, 3
Let b(z) be the third derivative of z**7/20160 + z**6/5760 - z**5/480 - 5*z**4/8 - 7*z**2. Let h(i) be the second derivative of b(i). Factor h(w).
(w - 1)*(w + 2)/8
Suppose -20/3*u + 2/3*u**3 - 6*u**2 + 0 = 0. What is u?
-1, 0, 10
Let i(j) be the first derivative of -5*j - 1/24*j**4 + 9 + 1/12*j**3 + 1/2*j**2. Let t(r) be the first derivative of i(r). Solve t(s) = 0.
-1, 2
Let v be (1870/1309)/(4/21). Factor -24*o + 9/2*o**2 + v.
3*(o - 5)*(3*o - 1)/2
Let h be 4*(-6)/96*32/(-14). Factor 6/7*t - h - 2/7*t**2.
-2*(t - 2)*(t - 1)/7
Factor -44*p**3 + 4*p**4 - 1575*p + 765*p - 100*p**2 + 758*p.
4*p*(p - 13)*(p + 1)**2
Let r(n) be the third derivative of -n**8/336 + n**7/70 + 17*n**6/120 - 9*n**5/20 - 11*n**4/3 - 8*n**3 + n**2 - 49*n. Solve r(o) = 0 for o.
-3, -1, 4
Factor 0 + 5*l + 25/6*l**2 + 5/6*l**3.
5*l*(l + 2)*(l + 3)/6
Find g, given that -1/3*g**3 - g**2 + 4/3 + 0*g = 0.
-2, 1
Let r = -14 - -14. Suppose -5*i - 4*q + 26 = r, -2*q + 3*q = 5*i - 6. Factor -16/3 + 52/3*s**i - 40/3*s - 14/3*s**3.
-2*(s - 2)**2*(7*s + 2)/3
Let c(z) = -z**2 - 83*z + 260. Let h be c(3). Let 4/7*p**2 + p - 2/7*p**4 - h*p**3 + p**5 - 2/7 = 0. Calculate p.
-1, 2/7, 1
Let i be 20/(132/8 - 9). Factor -20/3*q**2 - i*q - 8/3*q**3 + 0.
-4*q*(q + 2)*(2*q + 1)/3
Let v(z) be the second derivative of -4*z**7/21 - 88*z**6/45 - 661*z**5/90 - 631*z**4/54 - 160*z**3/27 - 4*z**2/3 + 1047*z. Find p, given that v(p) = 0.
-3, -2, -1/6
Factor 76/3*y - 77/3*y**2 + 1/3*y**3 + 0.
y*(y - 76)*(y - 1)/3
Let r = 4705/12 + -392. Let o(g) be the third derivative of r*g**4 + 1/24*g**5 - 2*g**2 + 0 - 1/3*g**3 + 0*g - 1/80*g**6. Suppose o(i) = 