*m**3/21 - 125*m**2/7 + 483*m. Factor z(q).
-2*(q - 5)**2*(q + 5)/7
Suppose -15 - 24 = -a. Solve 17*v + 35*v**2 - 39*v**2 + a*v - 196 = 0.
7
Let t be (0 - 2)*-48*(-10)/(-100). Find y, given that 64/5 - t*y + 12/5*y**2 - 1/5*y**3 = 0.
4
Let h(j) = j**3 - 5*j**2 + j - 1. Let m be h(5). Let 2*v + v**2 + 9*v**2 + 33*v - 6 - 35*v**3 - m = 0. Calculate v.
-1, 2/7, 1
Solve -87 + 122 + 113 + n**2 + 149*n = 0 for n.
-148, -1
Suppose 2/9*p**3 + 22/9*p + 40/9 - 16/9*p**2 = 0. What is p?
-1, 4, 5
Let u be (-1*6/(-45))/((-228)/(-2007)). Let z = u + 1/38. Factor 3/5*w**4 - z*w**3 - 6/5*w**2 + 3/5 + 3/5*w + 3/5*w**5.
3*(w - 1)**2*(w + 1)**3/5
Let l = -16/117 - -415/468. Let i be -6 + 4 - 2*-2. Solve 0 + 1/4*z**i + l*z = 0.
-3, 0
Let x(j) = j**2 + 8*j + 2. Let p = 14 - 22. Let w be x(p). Solve 0 + 2/15*k**w - 4/15*k = 0 for k.
0, 2
Let v(q) be the third derivative of q**8/840 - 3*q**7/175 - 7*q**6/100 - 11*q**5/150 + q**2 + 17*q. Factor v(g).
2*g**2*(g - 11)*(g + 1)**2/5
Let n(i) be the first derivative of -4*i**5/5 + 4*i**4 - 4*i**3 - 108. Solve n(b) = 0.
0, 1, 3
Let s(y) = -9*y**3 + 19*y**2 + 7*y - 5. Let c(q) = 64*q**3 - 132*q**2 - 48*q + 36. Let b(v) = 3*c(v) + 20*s(v). Factor b(o).
4*(o - 1)**2*(3*o + 2)
Let b = -17 - -18. Let r be -38*(60/56 - b) + 3. Suppose 2/7*d**2 - 2/7*d**5 + 0 + 6/7*d**3 - r*d**4 - 4/7*d = 0. Calculate d.
-2, -1, 0, 1
Let f(r) = -10*r**4 + 5*r**3 + 2*r**2 - 3. Let y(u) = u**4 + 1. Suppose -2*x + 4*x + 12 = 0. Let b(m) = x*y(m) - 2*f(m). Factor b(q).
2*q**2*(q - 1)*(7*q + 2)
Let o(j) = j**4 - 9*j**2 - 14*j - 9. Let a(f) = 3*f**4 - f**3 - 29*f**2 - 43*f - 26. Let c(g) = 3*a(g) - 8*o(g). Factor c(k).
(k - 6)*(k + 1)**3
Suppose -4*g + 32 + 0 = 0. Find a, given that -4*a**5 + g*a**3 - 2*a - a - a = 0.
-1, 0, 1
Suppose 42 = -8*u + u. Let i be u*(6/(-15))/(48/30). Let s + 0 + i*s**2 + 1/2*s**3 = 0. What is s?
-2, -1, 0
Let w = 3110 - 3110. Let -2/3*t**2 + w - 1/3*t**3 - 1/3*t = 0. What is t?
-1, 0
Let p(k) be the first derivative of k**5/100 - k**4/40 - k**3/5 + k**2 - 3. Let a(b) be the second derivative of p(b). Factor a(r).
3*(r - 2)*(r + 1)/5
Let w be ((-9)/(-12))/((-28)/(-16)). Let a(r) = -r**3 + 9*r**2 + 2*r - 18. Let x be a(9). Solve 3/7*v**2 - w + x*v = 0.
-1, 1
Let r be 3/2 + ((-122)/(-4) - 4). Let l be ((-396)/r)/(-3) - 4/(-14). Suppose 2/5*j**4 - 2/5*j**2 + 0 + 0*j - 2/5*j**l + 2/5*j**3 = 0. What is j?
-1, 0, 1
Let h be -11 + 4/(3 + 1). Let g be (h + 1)*(-14 - -12). Factor 24*o**4 + 8*o**2 - g*o - 20*o**3 - 4 + 10*o**5 - 28*o**2 + 28*o**3.
2*(o - 1)*(o + 1)**3*(5*o + 2)
Let d(l) = l**3 + l + 1. Let s(y) be the second derivative of 9*y**5/20 - y**4/12 + 5*y**3/6 + 4*y**2 - 54*y. Let b(j) = -14*d(j) + 2*s(j). Factor b(v).
2*(v - 1)*(v + 1)*(2*v - 1)
Suppose -5*m + 185 = -2*s - s, 2*s + 3*m = -98. Let o = s + 58. Factor -2/3 - 7/3*f**2 - o*f.
-(f + 1)*(7*f + 2)/3
Let l be (169/26 + -7)*0. Factor 2/19*z**3 + l*z + 6/19*z**2 - 8/19.
2*(z - 1)*(z + 2)**2/19
Suppose 6*h - 21 - 33 = 0. Factor 6*w**2 - h*w**4 - 1336*w**5 - 12*w**4 - 30*w**3 + 1333*w**5 + 15 + 33*w.
-3*(w - 1)*(w + 1)**3*(w + 5)
Factor 2/17*a**2 + 0 - 2/17*a.
2*a*(a - 1)/17
Let k(u) be the first derivative of -4*u**5/5 + 28*u**4 - 36*u**3 - 450. Determine n so that k(n) = 0.
0, 1, 27
Suppose -5*o - 3*z + 4 + 9 = 0, 4*o + 4*z - 4 = 0. Find d, given that 9*d**2 - 16*d - 7*d**2 - o + 19 = 0.
1, 7
Let c(r) be the first derivative of r**3/3 - 9*r**2/2 - 10*r + 76. Determine i so that c(i) = 0.
-1, 10
Let h = -175 - -175. Let u(v) be the second derivative of 3/20*v**5 + 0*v**4 + 5*v + h*v**3 + 0 + 1/10*v**6 + 0*v**2. Factor u(j).
3*j**3*(j + 1)
Factor 1/7*u**2 - 2 + 13/7*u.
(u - 1)*(u + 14)/7
Let z(u) be the first derivative of -2*u**3/9 - 3*u**2 - 28*u/3 + 145. Factor z(c).
-2*(c + 2)*(c + 7)/3
Suppose -5 = 5*f - 15. Let v = 10 + -7. Suppose -4*g - 8*g**3 + 9*g**3 + 3*g**v - f*g**2 - g**4 + 4 - g**2 = 0. What is g?
-1, 1, 2
Let v(h) be the third derivative of 0*h**3 + 0 + 1/120*h**5 + 0*h**4 + 0*h - 1/1440*h**6 + 25*h**2. Factor v(c).
-c**2*(c - 6)/12
Let a(m) = -m**3 + m**2 - m - 1. Let y(b) = b**3 - 3*b**2 + 5*b + 3. Suppose p = -3 + 1. Let v(n) = p*y(n) - 6*a(n). Factor v(z).
4*z*(z - 1)*(z + 1)
Let o(l) = 11*l**4 + 9*l**3 + 9*l**2 - 5. Let d(x) = -10*x**4 - 10*x**3 - 8*x**2 + 4. Suppose s - 10 = -14. Let v(r) = s*o(r) - 5*d(r). Factor v(f).
2*f**2*(f + 2)*(3*f + 1)
Let r(o) = -15*o**5 + 41*o**4 - 34*o**3 + 12*o**2 - 1. Let l(y) = y**5 + y**4 - y**3 + 2*y**2 + y - 1. Let p(d) = -l(d) + r(d). Let p(n) = 0. What is n?
0, 1/4, 1
Let q(k) be the third derivative of k**6/1980 - k**5/165 + k**4/44 + 2*k**3/3 + 5*k**2. Let o(y) be the first derivative of q(y). Factor o(j).
2*(j - 3)*(j - 1)/11
Let s(p) be the first derivative of 1/28*p**4 - 21 + 1/21*p**3 - 1/14*p**2 + 0*p - 1/35*p**5. Factor s(d).
-d*(d - 1)**2*(d + 1)/7
Factor -3/5*k**4 + 9/5*k**2 - 6/5*k**3 + 0*k + 0.
-3*k**2*(k - 1)*(k + 3)/5
Let t(z) be the third derivative of 9*z**8/224 - 8*z**7/35 + z**6/4 + 2*z**5/5 - 3*z**2. Solve t(l) = 0.
-4/9, 0, 2
Let a be 1/2 - ((-19)/(-2) + -12). Suppose -1/4*h**5 - 5/2*h**2 + 2 + h + h**4 - 1/4*h**a = 0. Calculate h.
-1, 2
Suppose 4*z - 13 = 35. Suppose 4*t + 4*i = z, -4*i + 20 = 5*t + 4. Let 2*b**5 - t*b**3 + 0*b**3 - b + 3*b + 0*b**5 = 0. What is b?
-1, 0, 1
Let h(w) be the first derivative of w**4/8 - 2*w**3/3 - 3*w**2 + 757. Let h(y) = 0. What is y?
-2, 0, 6
Let j(a) be the first derivative of 9 + 8/27*a**3 + 1/18*a**4 + 4/9*a**2 + 0*a. Let j(o) = 0. Calculate o.
-2, 0
Suppose 0 = 280*q + 152*q - 1296. Factor 0*t - 5/2*t**q + 0 + t**2.
-t**2*(5*t - 2)/2
Suppose 78*o - 24 = 77*o. Suppose o = 5*h + 3*w - 0*w, -2*h - 2*w + 12 = 0. Factor 2/5*u**h + 0 + 4/5*u**2 - 2/5*u**4 + 0*u.
-2*u**2*(u - 2)*(u + 1)/5
Let w be 2/1*(-19)/(-2). Let d = -18 + w. Factor -8 + d - 11*n - 5*n + 10*n**2 - 1.
2*(n - 2)*(5*n + 2)
Let h = -352 - -354. Let t(i) be the first derivative of 1/18*i**3 + 1/3*i**h + 0*i + 7. Suppose t(p) = 0. Calculate p.
-4, 0
Let g be (-2)/13 - 1752/104. Let d = 329 - g. What is s in s**5 + d*s**4 - s**3 - 346*s**4 = 0?
-1, 0, 1
Let q(b) be the second derivative of 9*b**5/5 - 2*b**4 + 2*b**3/3 + 2*b + 92. Factor q(j).
4*j*(3*j - 1)**2
Let v(u) be the third derivative of -u**5/30 + 8*u**4/3 - 256*u**3/3 + 168*u**2. Let v(r) = 0. What is r?
16
Let c(m) be the first derivative of -2/33*m**3 - 4/11*m**2 + 11 - 8/11*m. Factor c(v).
-2*(v + 2)**2/11
Suppose 15 = 3*u - 15. Suppose -f - 3*x + 8*x + 23 = 0, -x = -2*f + u. Suppose 0 + 0*n - 4/9*n**2 + 2/9*n**f + 2/9*n**4 = 0. What is n?
-2, 0, 1
Factor 14*v + 2/5*v**3 - 34/5 - 38/5*v**2.
2*(v - 17)*(v - 1)**2/5
Let c(l) be the first derivative of l**4 + 0*l + 2*l**2 - 19 + 8/3*l**3. Find j such that c(j) = 0.
-1, 0
Let h = -105/64 + 313/64. Factor -3/2*y + 0 + 13/2*y**3 - 7/4*y**4 - h*y**2.
-y*(y - 3)*(y - 1)*(7*y + 2)/4
Factor 3*k**3 - 715*k**5 + 6*k**2 + 3*k**4 + 718*k**5 - 24*k**2 + 9*k**4.
3*k**2*(k - 1)*(k + 2)*(k + 3)
Let o = -316 - -11062/35. Let p(h) be the first derivative of -9 + 1/14*h**4 + 4/21*h**3 + 0*h + 0*h**2 - o*h**5. Let p(r) = 0. Calculate r.
-1, 0, 2
Let q(r) be the third derivative of -2809*r**7/105 - 159*r**6/8 + 17*r**5/5 - r**4/6 + 3*r**2 - 23*r. Factor q(o).
-o*(2*o + 1)*(53*o - 2)**2
Let -576/7 + 128/7*u**2 + 4/7*u**4 - 48/7*u**3 + 192/7*u = 0. What is u?
-2, 2, 6
Let d(g) be the third derivative of -g**6/120 + 3*g**5/10 + 19*g**4/24 + 68*g**2. Factor d(o).
-o*(o - 19)*(o + 1)
Let w(i) be the first derivative of -18*i**6 + 6204*i**5/5 + 2642*i**4/3 - 2480*i**3/3 + 464*i**2/3 - 879. Solve w(b) = 0 for b.
-1, 0, 2/9, 58
Let t(d) be the first derivative of 2*d + d**3 - 8 - 9/4*d**2 - 1/8*d**4. Factor t(n).
-(n - 4)*(n - 1)**2/2
Factor -1/4*p**3 + 31/4*p + 29/2 - 7*p**2.
-(p - 2)*(p + 1)*(p + 29)/4
Suppose -5*r - v = 49, -r = 4*r + 5*v + 65. Let y(d) = d**2 + 12*d + 30. Let m be y(r). Solve -19/4*w**m - 1/2 - 1/4*w + 7/4*w**4 + 15/4*w**2 = 0.
-2/7, 1
Factor -3 + 17/2*j + 35/2*j**3 + 29*j**2.
(j + 1)*(5*j - 1)*(7*j + 6)/2
Let y(v) be the second derivative of v**5/4 - 65*v**4/12 - 95*v**3/3 + 300*v**2 + 393*v. Factor y(n).
5*(n - 15)*(n - 2)*(n + 4)
Let k be 63/120 - (-20)/(-50). Let y(n) be the second derivative of 1/48*n**4 - 1/24*n**3 - n + 0 - k*n**2 + 1/80*n**5. Factor y(q).
(q - 1)*(q + 1)**2/4
Let v(c)