Suppose -w*m - t = -329, -349 = -3*m - 0*t + 4*t. What is n in m*n - 4*n**3 - 111*n + 4*n**2 = 0?
0, 1
Let n be ((-2)/21)/(2/(-6)). Let s be (-3)/36*0/120. Let -n*t**4 + 0*t + s*t**3 - 2/7 + 4/7*t**2 = 0. Calculate t.
-1, 1
Suppose t + 4 = 2*t. Suppose 2*h - 2 = t. Solve -5*c - c**4 - 7*c - 6*c**h + 13*c**2 + 4 + 0*c**3 + 2*c**4 = 0 for c.
1, 2
Determine u, given that -2 + 1/2*u**3 + 9/4*u**2 - 1/4*u**4 - 1/2*u = 0.
-2, -1, 1, 4
Let t be 119/17*(-1 - 22/(-14)). Suppose 0 = 3*n + n + 16, -t*j = -n - 12. Suppose 0 + 1/4*l + 1/4*l**3 - 1/2*l**j = 0. What is l?
0, 1
Let w(z) be the second derivative of 7*z**6/75 + 8*z**5/25 - 31*z**4/30 - 52*z**3/15 - 12*z**2/5 - 157*z. Let w(u) = 0. What is u?
-3, -1, -2/7, 2
Let o = 3595/4 + -32227/36. Find d such that 8/3*d + 4/9*d**2 + o = 0.
-4, -2
Find d such that 14/9*d - 10/3*d**3 + 4/3 + 2/9*d**4 - 22/9*d**2 + 8/9*d**5 = 0.
-1, 3/4, 2
Let q be (2 + (-27)/6)*-10. Let p = -25 + q. Factor p*g**3 + 0*g**5 - 4*g**5 + 4*g**3 + 0*g**5.
-4*g**3*(g - 1)*(g + 1)
Solve -12*q + 211*q**2 - 68*q**2 - 14 - 67*q**2 - 74*q**2 = 0 for q.
-1, 7
Let z(x) be the third derivative of x**7/42 + x**6/24 - 3*x**5/4 - 15*x**4/8 + 202*x**2. Factor z(s).
5*s*(s - 3)*(s + 1)*(s + 3)
Let u(w) = w**3 - 6*w**2 + 6*w - 11. Let i be u(5). Let k(m) = 7*m**2 + m. Let j(d) = -8*d**2 - d. Let a(l) = i*j(l) - 7*k(l). Factor a(p).
-p*(p + 1)
Let x(g) = -28*g**5 + 176*g**4 - 82*g**3 + 10*g**2 + 4. Let c(l) = l**5 + 1. Let m(v) = -4*c(v) + x(v). Factor m(h).
-2*h**2*(h - 5)*(4*h - 1)**2
Let b(p) be the first derivative of -p**6/18 + 7*p**5/15 - 5*p**4/4 + 13*p**3/9 - 2*p**2/3 + 142. Determine j, given that b(j) = 0.
0, 1, 4
Let g(s) = -s**2 + 4*s - 7. Let j be g(5). Let t(x) = 5*x + 65. Let d be t(j). Factor -1/4*c**4 + 5/4*c**3 - 1/4*c**d + 1/4*c**2 - 2*c + 1.
-(c - 1)**3*(c + 2)**2/4
Let i be 6/(-21) - ((-192)/(-14))/(-32). Solve 16/7 + i*k**3 + 20/7*k + 8/7*k**2 = 0 for k.
-4, -2
Let p(l) = 15*l**2 - 12*l + 30. Let g(v) = -13*v**2 + 14*v - 31. Let n(k) = -6*g(k) - 5*p(k). Determine s, given that n(s) = 0.
2, 6
Suppose 77 - 947*k**3 + 217 + 34*k**2 + 236*k + 949*k**3 - 54*k = 0. Calculate k.
-7, -3
Let l(j) = -j**2 + 2*j - 26. Let q be l(4). Let p = -235/7 - q. What is s in -9/7*s + 6/7*s**3 + 6/7*s**2 - 9/7*s**4 + p + 3/7*s**5 = 0?
-1, 1
Let h(m) be the third derivative of m**7/105 - m**6/60 - m**5/30 + m**4/12 + 135*m**2. Determine g, given that h(g) = 0.
-1, 0, 1
Factor -44/3*w**2 + 16*w**3 + 14/3*w + 0 - 20/3*w**4 + 2/3*w**5.
2*w*(w - 7)*(w - 1)**3/3
Suppose x = -2*x + 9. Factor 33*r**x - 6 - 30*r**3 - 4*r - 5*r.
3*(r - 2)*(r + 1)**2
Suppose -5*y - 4*p - 2 + 4 = 0, 3*p = -6. Factor 9*f + 15*f**y - 36 + 36.
3*f*(5*f + 3)
Let h be ((24*16)/(-8))/((-378)/36). Find b, given that -h + 16/7*b - 2/7*b**2 = 0.
4
Let g(h) be the third derivative of -h**8/151200 + h**7/18900 + h**6/675 - 47*h**5/60 + 39*h**2. Let k(t) be the third derivative of g(t). Solve k(s) = 0.
-2, 4
Let m(u) = 13*u**3 - 67*u**2 - 533*u - 433. Let k(g) = 84*g**3 - 436*g**2 - 3464*g - 2816. Let w(n) = 5*k(n) - 32*m(n). Factor w(z).
4*(z - 14)*(z + 1)*(z + 4)
Factor -18*h - 40*h**2 - 6*h**2 + 2*h**2 - 24*h**3 - 6*h - 4*h**4.
-4*h*(h + 1)*(h + 2)*(h + 3)
Let n = 49209/11 + -4473. Find t, given that 2/11*t**2 + 4/11 - n*t = 0.
1, 2
Let x(a) be the first derivative of -13 + 1/10*a**4 + 0*a + 1/5*a**2 + 1/3*a**3. Factor x(o).
o*(o + 2)*(2*o + 1)/5
Let w(y) be the third derivative of y**5/24 - 35*y**4/48 + 25*y**3/6 + 30*y**2 + 8*y. Determine n so that w(n) = 0.
2, 5
Let v be 2/(-17) + 2/17. Let u(i) be the first derivative of 1/5*i**5 - 4 + v*i - 1/3*i**3 - 1/6*i**6 + 1/4*i**4 + 0*i**2. Factor u(f).
-f**2*(f - 1)**2*(f + 1)
Let s(p) be the first derivative of -p**8/840 + p**6/150 - p**4/60 + p**2/2 - 3. Let d(c) be the second derivative of s(c). Factor d(f).
-2*f*(f - 1)**2*(f + 1)**2/5
Let k(p) be the first derivative of -11*p**3/3 + 7*p**2/2 - 5. Let f(w) = -17*w**2 + 10*w. Suppose 0 = u - 5*u + 32. Let i(z) = u*k(z) - 5*f(z). Factor i(m).
-3*m*(m - 2)
Let m be (-15)/7 + (-11840)/(-5180). Factor -m*r**2 + 1/7*r + 0.
-r*(r - 1)/7
Factor -62 - 30*c - 390*c - 7*c**2 - 38 - 256*c**3 - 569*c**2.
-4*(c + 1)*(8*c + 5)**2
Let o be 2/(-14) - 175/(-196). Let v(x) be the first derivative of 3/20*x**5 + o*x**4 - 6 - 3*x + 3/4*x**3 - 3/2*x**2. Factor v(f).
3*(f - 1)*(f + 1)*(f + 2)**2/4
Let y be (-57)/(-15) + 117/(-65). Determine w, given that 1/5*w**3 + 0 - 1/5*w**y - 6/5*w = 0.
-2, 0, 3
Let s(a) be the second derivative of -a**9/3024 - a**8/336 - 5*a**7/504 - a**6/72 - a**4/12 - 28*a. Let j(m) be the third derivative of s(m). Factor j(h).
-5*h*(h + 1)**2*(h + 2)
Let s be (-1 - 0)/(2/306). Let h be (-1)/6*(s/(-6))/(-17). Factor -h*i**2 - 3/2*i - 9/4.
-(i + 3)**2/4
Suppose 27*j + 6*j + 528 = 0. Let v be 55/66*(j/(-5))/4. Factor 0*t**3 + 0*t + 0 + v*t**4 - 2/9*t**2 - 4/9*t**5.
-2*t**2*(t - 1)**2*(2*t + 1)/9
Let w(n) be the first derivative of -n**5/40 - n**4/32 + 19. Factor w(c).
-c**3*(c + 1)/8
Let v = -12 + 29. Factor 2 + 9*m + 12*m**2 - 21*m**4 + v*m**4 + 6 + 11*m - 4*m**3.
-4*(m - 2)*(m + 1)**3
Let j(r) = -60*r**4 + 29*r**3 + 12*r**2 - 2. Let y(t) = -60*t**4 + 31*t**3 + 13*t**2 - 3. Let d(s) = -3*j(s) + 2*y(s). Factor d(u).
5*u**2*(3*u - 2)*(4*u + 1)
Suppose 3*q + 18*d = 15*d, 9 = -3*d. Let c(u) be the first derivative of 0*u**2 + 0*u + 0*u**4 + 10 + 0*u**q - 1/10*u**5. Find i, given that c(i) = 0.
0
Let p be 0/(-1)*33/165. Let a(h) be the first derivative of -1/18*h**6 + 1/12*h**4 - 11 + 0*h - 1/15*h**5 + 1/9*h**3 + p*h**2. Find j, given that a(j) = 0.
-1, 0, 1
Let n(o) be the first derivative of o**4/20 + 11*o**3 + 1815*o**2/2 + 33275*o + 150. Find h, given that n(h) = 0.
-55
Let k(a) = -12*a**4 - 6*a**3 + 30*a**2 - 30*a - 9. Let s(d) = d**4 - d**3 + d**2 + d + 1. Let y(z) = k(z) + 9*s(z). Factor y(m).
-3*m*(m - 1)**2*(m + 7)
Let l(z) be the first derivative of -2*z**6 + 48*z**5/5 + 15*z**4/4 - 20*z**3 - 3*z**2/2 + 12*z + 165. Suppose l(w) = 0. Calculate w.
-1, -1/2, 1/2, 1, 4
Let i(n) = -n**3 + 7*n**2 + 10*n - 12. Let j be i(8). Suppose -2*r = 4*w - 14 + j, -w = -1. Factor 9*m + 3*m**3 + 8*m**2 - 4*m**2 + 8*m**2 - 3*m**2 + r.
3*(m + 1)**3
Let h be 4 + -6 - (-8)/(-2). Let o be (6/h)/3*(-18)/8. Find l such that o*l - 3/4*l**2 + 0 = 0.
0, 1
Let m(k) = k**3 + 4*k + 8. Let u be m(4). Let v = u - 257/3. Factor -1/3*j**3 - 3 - 5*j - v*j**2.
-(j + 1)*(j + 3)**2/3
Let w(k) be the second derivative of 2*k**7/189 - 2*k**6/27 - 8*k**5/45 + 16*k**4/9 + 18*k. Let w(y) = 0. What is y?
-3, 0, 4
Factor 2/13*t**2 - 54/13*t - 116/13.
2*(t - 29)*(t + 2)/13
Factor 16/11*h**2 + 7*h + 98/11 + 1/11*h**3.
(h + 2)*(h + 7)**2/11
Suppose 0 = -5*f - 0*f + 2*q + 1662, -4*q = -16. Factor 16*w**5 - 95*w**3 + 40*w + 2 - 115*w**2 + 18 - 141*w**5 + f*w**4 - 59*w**4.
-5*(w - 1)**3*(5*w + 2)**2
Let n be (-124)/10*(-12)/72 - 2. Let h(m) be the first derivative of 1/2*m**2 + 2/3*m - 1/4*m**4 + 3 - n*m**5 - 1/9*m**3. Solve h(l) = 0.
-2, -1, 1
Let r(i) = -18*i + 116. Let k be r(6). Let b be (-188)/141*(-2)/k. Factor 0 + b*v**3 + 2/3*v + v**2.
v*(v + 1)*(v + 2)/3
Let f = 27 - -6. Factor -59*o**2 + 27*o**4 + 26*o**2 - 6 - 34*o**3 + f*o - 11*o**3.
3*(o - 2)*(o + 1)*(3*o - 1)**2
Let z = 1553/60 - 129/5. Let a(y) be the third derivative of 0 - z*y**3 + 0*y + 1/240*y**5 - 1/96*y**4 + 6*y**2. Suppose a(x) = 0. Calculate x.
-1, 2
Suppose -29*x = -26*x - 525. Determine u so that -160*u**4 + 6*u + 36*u**3 + x*u**4 + 35*u**2 - 8*u**2 = 0.
-1, -2/5, 0
Factor -13/2 + 5/2*s**2 + 4*s.
(s - 1)*(5*s + 13)/2
Let u(s) be the second derivative of 9*s**5/160 - s**4/32 - 3*s**3/16 + 3*s**2/16 + 20*s - 1. Factor u(z).
3*(z - 1)*(z + 1)*(3*z - 1)/8
Let j(p) = -p**2 - 6*p + 5. Let m be j(-5). Find g, given that -4*g + 8*g - 20*g**4 - 2*g**2 + m*g**4 - 16*g**3 = 0.
-1, 0, 2/5
Let p = 22 + -22. Suppose -r = 3*n - 10, n + p = 2*r + 1. Factor 1/5*j**4 - 2/5*j**n + 0*j**2 - 1/5 + 2/5*j.
(j - 1)**3*(j + 1)/5
Let m(c) be the first derivative of -4*c**3/3 - 292*c**2 - 21316*c + 125. Factor m(r).
-4*(r + 73)**2
Let v be (-10)/(-15) - ((-21)/9 + -1). Find p such that -12*p + p**4 - 26*p**2 + 16*p**3 + 24*p - 3*p**4 + 0*p**v = 0.
0, 1, 6
Find r, given that 57/5*r**3 + 0 + 0*r - 3/5*r**2 = 0.
0, 1/19
Let x(j) be the third derivative of 2*j**7/15 - 2*j**6/5 - 5*j