 = 0. Calculate c.
-1, -2/5, 1
Suppose 0 = 12*j - 7*j - 3*t - 132, 0 = -3*t + 3. Suppose 0 = 4*g + o - 43, 0 = g + 5*o - 8*o - j. Factor 6/7*h**2 + 42 + g*h.
6*(h + 7)**2/7
Let q(l) = 4*l**3 + 12*l**2 + 8*l - 94. Let g(b) = -13*b**3 - 34*b**2 - 23*b + 279. Let d(k) = -2*g(k) - 7*q(k). Factor d(s).
-2*(s - 2)*(s + 5)**2
Let j = -6802 + 6805. Let z(c) be the third derivative of -1/27*c**j + 0 + 0*c + 5/72*c**4 - 13/540*c**5 - 9*c**2. Factor z(r).
-(r - 1)*(13*r - 2)/9
Let v(n) be the second derivative of n**4/21 - 860*n**3/21 + 92450*n**2/7 + 6298*n. Factor v(a).
4*(a - 215)**2/7
Suppose -301*r = -264*r - 111. Let i(n) be the first derivative of 13 - 16*n**3 - 10*n**6 - r*n**4 + 8*n**2 + 104/5*n**5 + 0*n. Solve i(c) = 0.
-2/3, 0, 2/5, 1
Suppose -b + 56 = -4*b - 5*f, -5*f = 20. Let a be (-2)/(-2) + (-11 - b). Let -2*m - 18*m**3 + 6*m**4 + 13*m**3 - 7*m**2 + m**a + 7*m**3 = 0. What is m?
-1, -1/3, 0, 1
Let o(y) = -2*y**2 + 3. Let v(l) = -l**2 - 2. Let a(p) = -o(p) - v(p). Let i(g) = 44*g**2 - 376*g - 8852. Let u(k) = -16*a(k) + i(k). Factor u(d).
-4*(d + 47)**2
Let s(f) be the first derivative of f**4/16 + 485*f**3/12 + 121*f**2/2 + 2525. Find b, given that s(b) = 0.
-484, -1, 0
Suppose -10*y + 14*y = 16. Determine i, given that -y*i**3 - 43*i**3 + 8*i**3 + 5*i**4 - i**5 - 18*i**2 - 2*i**5 - 29*i**4 = 0.
-6, -1, 0
Let k(a) be the first derivative of -3*a**5/80 + 5*a**4/16 + a**3/8 - 15*a**2/8 - 82*a - 78. Let w(b) be the first derivative of k(b). Factor w(x).
-3*(x - 5)*(x - 1)*(x + 1)/4
Let k be (-12)/14*(-28)/6. Let u be k/14*(-588)/(-70). Factor u + 88/15*c**2 + 10*c + 14/15*c**3.
2*(c + 3)**2*(7*c + 2)/15
Let a be (-2220)/2664*(-2 + (-111)/(-60)). Factor -5*l**2 + a*l**5 + 5/8*l**4 + 0*l**3 - 6 - 10*l.
(l - 3)*(l + 2)**4/8
Let v be (25/(-175))/(50/(-15)). Let b(f) be the second derivative of 0 - 4*f + 11/42*f**4 + v*f**5 - 4/7*f**2 + 8/21*f**3. Factor b(n).
2*(n + 2)**2*(3*n - 1)/7
Let k(q) be the first derivative of q**4/6 - 2*q**3 - 16*q**2 + 7*q - 34. Let b(n) be the first derivative of k(n). Factor b(a).
2*(a - 8)*(a + 2)
Suppose 18/7*u**3 - 414/7*u - 320/7*u**2 - 76/7 = 0. What is u?
-1, -2/9, 19
Suppose -d = 138 - 141. Suppose 2*k + d = -y - k, -4*y + 10 = k. Factor 5/3*f**2 - 1/3*f**y - 7/3*f + 1.
-(f - 3)*(f - 1)**2/3
Let p(y) = 34*y**2 - 1384*y - 1385. Let l(x) = -91*x**2 + 4151*x + 4154. Let t(u) = 3*l(u) + 8*p(u). Factor t(b).
-(b - 1382)*(b + 1)
Let o(r) = -7*r**4 + 6*r**3 - 12*r**2 + 8*r + 4. Let l(q) = -9*q**4 + 6*q**3 - 11*q**2 + 10*q + 5. Let u(v) = 4*l(v) - 5*o(v). Factor u(x).
-x**2*(x - 2)*(x + 8)
Find l, given that 2/5*l**3 + 88/5*l + 0 - 6*l**2 = 0.
0, 4, 11
Let l(q) be the third derivative of 3*q**2 - 8/15*q**3 - 1/35*q**8 + 0 + 23/75*q**5 - 74/525*q**7 + 2/5*q**4 + 19*q - 3/25*q**6. Let l(x) = 0. Calculate x.
-2, -1, 1/4, 2/3
Let b(k) be the second derivative of -k**6/12 - 143*k**5/4 - 5700*k**4 - 2211125*k**3/6 - 4286875*k**2/4 + 402*k. Factor b(h).
-5*(h + 1)*(h + 95)**3/2
Let w(g) be the third derivative of -g**7/630 - 19*g**6/120 - 419*g**5/90 - 28*g**4/3 + 784*g**3/9 + 967*g**2. Factor w(f).
-(f - 1)*(f + 2)*(f + 28)**2/3
Let c(g) = -g**2 + 17*g + 40. Let h be c(17). Find f such that -92*f + 1532 + h*f**2 - 15*f**2 - 9*f**2 - 15*f**2 + 584 = 0.
46
Let r(g) be the third derivative of 2/75*g**6 + 0*g**3 + 0 - 1/525*g**7 - 2/15*g**4 + 1/150*g**5 + 0*g + 64*g**2. Factor r(p).
-2*p*(p - 8)*(p - 1)*(p + 1)/5
Let j(c) = 7*c - 221. Let o be j(32). Let f be (-1)/2 - 7/(-2). Factor 5*k**2 - o*k**2 + 27*k**5 + 4*k**3 - 28*k**5 - 1 - 1 - f*k.
-(k - 2)*(k - 1)*(k + 1)**3
Let k(a) be the third derivative of a**5/12 - 25*a**4/6 - 35*a**3/2 - 40*a**2 + 11*a. What is y in k(y) = 0?
-1, 21
Solve -64/3 + 3568/9*b**3 + 8768/9*b - 356/9*b**4 - 10048/9*b**2 = 0 for b.
2/89, 2, 6
Suppose -3*b = -4*o + 1069, 2*b + 445 = -o - 253. Let n = -1749/5 - b. Factor 2/5*r**2 - 8/5*r + n.
2*(r - 3)*(r - 1)/5
Determine b so that 28*b**2 - 31 + 12*b - 201*b - 209 - 33*b**2 - 56*b = 0.
-48, -1
Let m(w) = -w**2 - 30*w - 98. Let j be m(-26). Solve -2*y**3 + 14*y**3 - 2*y**2 + 8 - 4*y**2 - 6*y**4 + 2*y**3 + j*y**3 - 24*y = 0.
-1, 1/3, 2
Let m(o) be the first derivative of -2*o**5/5 - 167*o**4/12 - 1298*o**3/9 - 1807*o**2/6 + 338*o/3 - 4275. Determine p, given that m(p) = 0.
-13, -2, 1/6
Let j be (133/38)/(1/2). Solve -15*c**2 - 10 - 9 + 36*c + j = 0 for c.
2/5, 2
Suppose -55 = -7*j - 4*j. Factor 5*g**j - 6*g**3 + 2*g**5 - 6*g**5 - 22*g**3 + 3*g**4.
g**3*(g - 4)*(g + 7)
Suppose 17*f - 3528 = -25*f. Suppose -4*l**4 - 25268*l - 396*l**3 - 10944*l - 8112*l**2 - 34092*l + f*l**3 = 0. What is l?
-26, 0
Let o be (-2)/(-8) - 6/(-48)*446. Let l = o - 52. Solve 4*p**2 - 2*p**2 + 3 - p**2 + l*p + 0*p = 0 for p.
-3, -1
Let x(y) be the third derivative of 60*y**2 - 1/20*y**6 + 0*y + 7/6*y**3 + 5/12*y**4 - 11/60*y**5 + 0. What is r in x(r) = 0?
-7/3, -1/2, 1
Let w = -143759/120 + 1198. Let u(v) be the third derivative of 0*v - 1/420*v**7 - 1/120*v**6 + 0*v**4 + 0 - w*v**5 + 9*v**2 + 0*v**3. Factor u(o).
-o**2*(o + 1)**2/2
Suppose -167042/5 - 2/5*i**3 - 1158/5*i**2 - 168198/5*i = 0. What is i?
-289, -1
Let g(x) be the second derivative of -x**5/40 - 15*x**4/8 - 32*x**3 - 85*x**2 + 1610*x + 2. Factor g(l).
-(l + 1)*(l + 10)*(l + 34)/2
Find s such that -35/4*s + 5/4*s**2 - 245/2 = 0.
-7, 14
Let s(j) be the first derivative of -8*j + 0*j**4 + 4/3*j**3 - 1/10*j**5 + 0*j**2 + 24. Let s(h) = 0. What is h?
-2, 2
Suppose -18*g + 3*g + 0 = -0. Let q(s) be the third derivative of 0*s**3 + 0 + g*s + 0*s**5 + 0*s**7 - 1/24*s**6 + 5/336*s**8 + 0*s**4 + 3*s**2. Solve q(t) = 0.
-1, 0, 1
Determine l so that -348/11*l**3 + 2/11*l**4 + 14768/11*l**2 - 11264 + 3072*l = 0.
-4, 2, 88
Let s(z) be the first derivative of 685*z**4/4 - 2738*z**3/3 + 1366*z**2 + 8*z - 823. Solve s(k) = 0 for k.
-2/685, 2
Find j such that 1512*j**2 - 164*j**3 + 66*j**3 - 2010*j - 159 + 224 + 635 = 0.
5/7, 14
Determine j so that -432/5 + 552/5*j + 3/5*j**3 - 123/5*j**2 = 0.
1, 4, 36
Suppose 4 = -3*i + b, 17*i - 12*i = -3*b + 12. Let n(v) be the second derivative of 1/8*v**2 + 1/12*v**3 + i + 1/48*v**4 - 17*v. Factor n(j).
(j + 1)**2/4
Let m be -10 + (-1 - (-1 + -98)). Let h be (3186/(-944))/((-6)/m). Find j such that 1089/2*j - h*j**2 - 3993/2 + 3/2*j**3 = 0.
11
Suppose 2*p - p - 3 = 0. Let w = 11141/147 + -3632/49. Factor 5/3*x**2 - 10/3*x + 10/3*x**p + 0 - w*x**4.
-5*x*(x - 2)*(x - 1)*(x + 1)/3
Factor -5*o**2 + 114 - 149 - 18*o - 2*o + 200 - 20*o.
-5*(o - 3)*(o + 11)
Let z(l) be the second derivative of -l**7/1680 + l**6/480 + 113*l**4/12 + 4*l - 2. Let j(w) be the third derivative of z(w). Let j(q) = 0. Calculate q.
0, 1
What is d in -3458450/9*d**2 + 10520/9*d - 8/9 = 0?
2/1315
Let o be -60*(-14)/(-42) + 25. Let f(h) be the second derivative of 1/70*h**o - 1/7*h**3 + 16*h + 1/21*h**4 + 0 + 0*h**2. Factor f(k).
2*k*(k - 1)*(k + 3)/7
Let x be (-41)/(-8) - (6/(-54))/(80/(-90)). Let k be 0/(2 - (5 + -2)). Determine a so that 0*a**3 + 0*a**2 + 0*a + k + 0*a**4 - 1/2*a**x = 0.
0
Let p(d) be the first derivative of d**4/8 + 44*d**3/3 + 935. Factor p(r).
r**2*(r + 88)/2
Let z = -111 - -192. Let k = z + -71. Factor -101*p + 5*p**2 + 5*p**3 + 111*p + k*p**2.
5*p*(p + 1)*(p + 2)
Suppose -9*j + 70 = 52. Let -1027*y + 1023*y + y**2 - y**3 + 4*y**j = 0. Calculate y.
0, 1, 4
Let r be ((-207)/9 + -29)/(-10). Factor 12/5 + r*v + 16/5*v**2 + 2/5*v**3.
2*(v + 1)**2*(v + 6)/5
Let i(u) be the third derivative of u**6/90 - 116*u**5/5 + 15138*u**4 - 4125*u**2. Factor i(r).
4*r*(r - 522)**2/3
Suppose 2*r + 81 = 83. Let m be r - 2 - (108/(-9))/4. Factor -3/2*w**3 - 9/2 - 21/2*w - 15/2*w**m.
-3*(w + 1)**2*(w + 3)/2
Let q(b) be the first derivative of -b**8/1176 + 4*b**7/735 - b**6/105 + b**2 - 33*b + 73. Let u(k) be the second derivative of q(k). Factor u(f).
-2*f**3*(f - 2)**2/7
Let j(g) = g**2 - 6*g + 2. Let m be j(6). Let p = 60589 - 302942/5. Determine q, given that 6*q**m + p - 3/5*q**5 - 6*q**3 + 3*q**4 - 3*q = 0.
1
Let l be (3/2 - 2)*(181 - 189). Let x(d) be the second derivative of -11*d - 2/15*d**6 - 2/3*d**3 + 0 - 3/5*d**5 + 0*d**2 - d**l. Find b such that x(b) = 0.
-1, 0
Let y be (-44469)/(-11529) - 13/7. Suppose -8 + 1/2*d**y + 3*d = 0. What is d?
-8, 2
Let t(n) be the first derivative of n**6/300 + 11*n**5/75 - 23*n**