30*y**4 + 0*y - 1/150*y**5. Factor d(u).
-2*u*(u - 1)*(u + 2)/5
Suppose -1017/2*t**2 + 678 + 6*t - 3/2*t**4 - 174*t**3 = 0. Calculate t.
-113, -2, 1
Factor 136 + 502/15*x - 2/15*x**2.
-2*(x - 255)*(x + 4)/15
Let r(x) be the second derivative of -220*x + 68921/8*x**2 + 41/16*x**4 + 1/80*x**5 + 1681/8*x**3 + 0. Solve r(k) = 0 for k.
-41
Suppose -2 = -2*a, -58*a - 992 = -2*n - 62*a. Let q = n - 492. Factor 0 + 7/3*r**q + 49/6*r + 1/6*r**3.
r*(r + 7)**2/6
Let l(s) be the first derivative of -s**4/32 - s**3/4 + s**2/16 + 3*s/4 - 633. Factor l(r).
-(r - 1)*(r + 1)*(r + 6)/8
Suppose -4*h**2 - 35/3*h - 8 - 1/3*h**3 = 0. Calculate h.
-8, -3, -1
Find y such that 4 - 8*y - 6*y**2 - 11027*y**3 - 4 + y**4 + 11030*y**3 = 0.
-4, -1, 0, 2
Let y(j) = -6*j**2 + 332*j - 346. Let s(z) = 17*z**2 - 998*z + 1036. Let g(n) = 4*s(n) + 11*y(n). Factor g(w).
2*(w - 169)*(w - 1)
Suppose 24 + 27*o - 39 - 80*o**3 + 53*o**3 - 6*o**2 + 21 = 0. Calculate o.
-1, -2/9, 1
Let b = -3691 + 7383/2. Let t(j) be the first derivative of j**2 - 4/3*j**3 - 12 - b*j**4 + 4*j. Factor t(z).
-2*(z - 1)*(z + 1)*(z + 2)
Suppose 0 = 28*d - 42*d + 56. Let a(v) be the first derivative of -d - 1/6*v**4 - 2/3*v**2 + 0*v + 2/3*v**3. Factor a(z).
-2*z*(z - 2)*(z - 1)/3
Let b(d) be the first derivative of -d**3/2 + 585*d**2/4 + 238. Let b(w) = 0. What is w?
0, 195
Let p(l) be the first derivative of l**6/15 + l**5/5 - 55*l + 24. Let x(y) be the first derivative of p(y). Let x(d) = 0. Calculate d.
-2, 0
Let j(a) be the first derivative of -a**3/3 + 383*a**2/2 - 1140*a + 26. Factor j(w).
-(w - 380)*(w - 3)
Let i be 2 + (-4 - -5) + -3. Suppose i = -0*w + 4*w - 5*p - 17, -3*w = -p - 10. Factor -13*f**w - 29*f**2 + 15*f**3 - 2 + 7*f - f**5 + 21*f**2 + 2*f**4.
-(f - 1)**4*(f + 2)
Solve -17/4*x**4 + 1/8*x**5 + 57/2*x**3 + 52*x + 0 - 67*x**2 = 0 for x.
0, 2, 4, 26
Factor -2/9*j**3 - 68/9*j + 16/3 + 22/9*j**2.
-2*(j - 6)*(j - 4)*(j - 1)/9
Suppose 24 - 20/3*o**2 - 8/3*o**3 + 12*o = 0. What is o?
-3, -3/2, 2
Let l(o) = -2 + 1 + o**3 + 83611*o**2 - 83612*o**2. Let g(w) = 2*w**4 + 12*w**3 - 26*w**2 - 24*w - 10. Let a(p) = -2*g(p) + 20*l(p). Factor a(u).
-4*u*(u - 3)*(u + 2)**2
Let d(j) be the third derivative of j**6/120 + j**5/15 - 2*j**4/3 - 32*j**3/3 + 3*j**2 + 304*j. Solve d(n) = 0 for n.
-4, 4
Let y be 1 + (5/(-100))/((-33)/268). Let l = -20/33 + y. Factor 2/5*w**2 - l*w + 0.
2*w*(w - 2)/5
Let l be 2/(-4) + 20*2/16. Suppose l*u**3 - 2*u + 2*u**2 - 5 + 3 + 0*u**2 = 0. What is u?
-1, 1
Let n(j) be the first derivative of j**6/720 + j**5/240 - j**4/24 - j**3/3 - 8*j - 3. Let r(m) be the third derivative of n(m). Factor r(l).
(l - 1)*(l + 2)/2
Let r(z) be the first derivative of -180*z + 73 - 1/15*z**3 + 6*z**2. Factor r(t).
-(t - 30)**2/5
Suppose 0 = -2192*j + 2008*j. Solve -2/5*h**2 + 4/5*h + j = 0.
0, 2
Let m = 42275/3 - 14090. Let y(s) be the first derivative of -5*s - m*s**3 + 5*s**2 + 31. Let y(f) = 0. What is f?
1
Let c(x) be the third derivative of -2*x**7/945 - 16*x**6/45 + 98*x**5/135 + 16*x**4/9 - 194*x**3/27 + 2056*x**2. Let c(a) = 0. What is a?
-97, -1, 1
Let q(w) = w**2 + 6*w - 25. Let m be q(3). Let p be -5 + (-105)/(-14) + m. Factor 2 - 5/4*v**2 + p*v.
-(v - 4)*(5*v + 2)/4
Let -2354/21*g**2 - 2688 - 2/21*g**4 - 116/21*g**3 - 928*g = 0. Calculate g.
-21, -8
Find l such that 2/11*l**3 - 68*l - 46/11*l**2 + 0 = 0.
-11, 0, 34
Solve 2*o**4 + 1793*o**2 + 2*o**4 - 2105*o**2 - 148*o**3 = 0.
-2, 0, 39
Let w(v) = 10*v**3 - 55*v**2 - 255*v - 165. Let b(g) = 145*g + 5*g**2 - 5*g**3 + 81 + 22*g**2 - 10*g - 7*g. Let c(i) = 5*b(i) + 3*w(i). Factor c(n).
5*(n - 9)*(n + 1)*(n + 2)
Let t(k) be the first derivative of k**3 - 27*k**2/2 + 54*k - 344. Factor t(r).
3*(r - 6)*(r - 3)
Let s(a) be the first derivative of a**5/5 + 7*a**4 + 253*a**3/3 + 363*a**2 + 2694. Factor s(r).
r*(r + 6)*(r + 11)**2
Suppose 0 = 10*n - 5*n + 5*v - 55, 2*n + 3*v = 25. Let n*o**2 + 25 + 2*o**2 - 61 - 48*o - o**2 = 0. What is o?
-2/3, 6
Let c(p) be the third derivative of 169*p**7/840 + 65*p**6/96 - 2*p**5/15 - p**4/8 + 34*p**2 + 51. What is l in c(l) = 0?
-2, -2/13, 0, 3/13
Suppose 38 = 5*o - 2, -z - 13*o + 68 = -38. Factor -87/5*i**3 + 6/5*i**4 + 0 + 336/5*i**z - 147/5*i.
3*i*(i - 7)**2*(2*i - 1)/5
Suppose -1/4*g**2 - 196 - 14*g = 0. What is g?
-28
Suppose t + 5 = 2*t. Let n(l) = 234*l + 1173. Let o be n(-5). Let 0*z + z**2 - z**4 - 7/2*z**o + 7/2*z**t + 0 = 0. Calculate z.
-1, 0, 2/7, 1
Let y(m) = 5*m**5 - 4*m**4 - 16*m**3 + 12*m**2 + 4*m - 36. Let t(p) = p**5 - p**4 - p**3 - p**2 + p - 9. Let h(v) = 4*t(v) - y(v). Let h(f) = 0. Calculate f.
-4, 0, 2
Let s(m) = -8*m + 182. Let o be s(22). Let r(b) = 5*b**2 - 25*b + 147. Let c(l) = l**2 - 7*l + 37. Let h(z) = o*r(z) - 26*c(z). Find q, given that h(q) = 0.
-10, 2
Let y(j) be the first derivative of j**7/420 - 2*j**6/45 - 3*j**5/20 + 17*j**3/3 - 250. Let i(h) be the third derivative of y(h). Factor i(o).
2*o*(o - 9)*(o + 1)
Let t be -15*6/36*-2. Solve 177*m + 5*m**t + 90*m**3 - 100*m**2 - 251*m - 35*m**4 + 114*m = 0 for m.
0, 1, 2
Let w(h) be the third derivative of 100*h**7/7 + 95*h**6/2 + 117*h**5/2 + 297*h**4/8 + 27*h**3/2 + 5180*h**2 + 2*h. Find i such that w(i) = 0.
-1, -3/10
Suppose -3*q - 4*c + 9 = -9*c, 0 = -4*q - 2*c + 12. Let -9*l**2 - 212*l**q - 211*l**3 + 420*l**3 + 12*l = 0. Calculate l.
-4, 0, 1
Suppose -2*u + 15 = -29. Let a be 3 + (41 - -4) - (1 + 0). Determine v, given that 13*v**3 - a - 15*v**2 + u - 4*v**4 + 24 + 7*v = 0.
1/4, 1
Factor -54 + 4545*h**3 - 90 - 2962*h**3 - 1081*h**2 + 984*h - 3792*h**3.
-(h + 1)*(47*h - 12)**2
Let h(n) be the second derivative of -14*n - 5/2*n**4 + 0*n**2 - 1/4*n**5 - 1 + 35/6*n**3. Solve h(d) = 0 for d.
-7, 0, 1
Let z(p) = p. Let v(y) = 0*y**2 - y + y**2 + 0*y + 0*y - 3*y**2. Let g(b) = v(b) - 5*z(b). Determine c, given that g(c) = 0.
-3, 0
Suppose -97*u + 62*u = -875. Find l such that -20 - 5*l**3 - u*l - 73*l - 2405*l**2 + 13*l**3 + 2335*l**2 = 0.
-1, -1/4, 10
Let l(w) be the third derivative of 0 + 9/8*w**3 - 3/160*w**6 + 0*w - 17/80*w**5 - 21/32*w**4 + 134*w**2. Solve l(h) = 0.
-3, 1/3
Find t, given that 1/3*t**2 - 1136*t + 967872 = 0.
1704
Let p(d) = 2*d**2 - 6*d - 18. Let q = 74 - 68. Let y be p(q). Solve -y*l**2 + 4*l**2 + 2*l**5 + 10*l**3 + 4*l + 8*l**3 - 10*l**4 = 0.
0, 1, 2
Let t(f) = -f**3 + f**2 - 1. Let z(a) = 9*a**3 - 13*a**2 - 4*a + 3. Suppose 106 = 5*l - 29. Let p = l + -25. Let y(s) = p*z(s) + 6*t(s). Factor y(i).
4*i*(i - 2)*(3*i + 1)
Let j = -4832 - -4840. Let s(b) = -b**3 - b**2 + 1. Let i(d) = 4*d**3 + 28*d**2 - 28*d + 4. Let v = 0 + 1. Let r(t) = j*s(t) + v*i(t). Solve r(c) = 0.
1, 3
Let w be (1 - (1 - 0))*-1. Suppose w = b + 1, 0*b = 2*q + 5*b - 27. Factor 4*r**3 - r**3 + 13*r**2 - r**2 + r**3 - q.
4*(r - 1)*(r + 2)**2
Let m = -285683 + 285685. Factor -1 + 11/6*o + 7/6*o**m.
(o + 2)*(7*o - 3)/6
Let m(p) be the third derivative of p**5/12 - 85*p**4/6 - 350*p**3/3 - 2203*p**2. Find v such that m(v) = 0.
-2, 70
Let l(s) be the first derivative of -2/15*s**6 + 16/5*s + 4/15*s**3 - 16/5*s**2 - 4/25*s**5 + s**4 + 20. Factor l(u).
-4*(u - 1)**3*(u + 2)**2/5
Let r(a) = a**3 - 14*a**2 + 38*a + 62. Let v be r(6). Let i = 42 - 30. Factor -40*b - 29*b**4 + 9*b**5 + 25*b**2 - 50*b**3 + v*b**4 + 83*b**2 - i*b**4.
b*(b - 5)*(b + 2)*(3*b - 2)**2
Let -36/5*u**2 + 0*u + 9/5*u**3 - 1/5*u**5 + 0 + 4/5*u**4 = 0. Calculate u.
-3, 0, 3, 4
Let v(y) be the third derivative of -y**6/192 + 53*y**5/480 - 7*y**4/48 - 5*y**3/12 - 367*y**2. Factor v(t).
-(t - 10)*(t - 1)*(5*t + 2)/8
Let t(b) = 7 - 16*b**2 - 27*b + 25*b + 60 + 9*b**3. Let u(h) = -4*h**3 + 8*h**2 + 2*h - 34. Let i(n) = -4*t(n) - 10*u(n). Find d such that i(d) = 0.
-2, 3
Let t(l) be the third derivative of 2/7*l**3 + 1/84*l**4 - l - 2/105*l**5 + 148*l**2 + 0 + 1/420*l**6. Suppose t(j) = 0. Calculate j.
-1, 2, 3
Determine t so that 19/8*t**3 - 195/8*t - 25/4 + 3/8*t**4 - 129/8*t**2 = 0.
-10, -1, -1/3, 5
Factor 295*w**3 - 86914*w**4 + 356*w + 69*w**3 - 716*w**2 + 86910*w**4.
-4*w*(w - 89)*(w - 1)**2
Suppose 905858/5 + 2/5*c**2 - 2692/5*c = 0. Calculate c.
673
Let x(l) be the first derivative of -l**5 + 35/3*l**3 + 15/4*l**4 + 36 - 75/2*l**2 - 90*l. Factor x(d).
-5*(d - 3)**2*(d + 1)*(d + 2)
Let s(a) = -13*a**3 - 143*a**2 + 12*a + 6. Let g(c) = 2*c**3 + 6*c**2 - 2*c - 1. Let b(w) =