4)*(j + 2)/6
Suppose -2*u + 136 = 130, -5*r + 2*u = 8911. Let v = r - -8917/5. Factor 3/5*n**5 + v*n + 0 - 39/5*n**2 - 21/5*n**4 + 9*n**3.
3*n*(n - 4)*(n - 1)**3/5
Determine x, given that 1/2*x**4 - 40 + 26*x**2 + 6*x + 15/2*x**3 = 0.
-10, -4, -2, 1
Let v(m) be the second derivative of -42*m - 12*m**5 + 0 - 1/14*m**7 + 3/2*m**6 + 40*m**4 + 0*m**3 - 384*m**2. Let v(h) = 0. What is h?
-1, 4
Let f(d) = -2*d**2 + 8*d - 6. Let s be f(5). Let l(u) = -96*u**2 + 100*u - 4. Let b(x) = 19*x**2 - 20*x + 1. Let n(w) = s*b(w) - 3*l(w). Factor n(h).
-4*(h - 1)*(4*h - 1)
Let q(v) = v - 6. Let c = 221 - 215. Let l be q(c). Factor l*y + 2/5*y**2 - 2/5.
2*(y - 1)*(y + 1)/5
Solve 6 - 1348/3*d**2 - 671*d - 75*d**3 = 0 for d.
-3, 2/225
Let k(p) = 21*p**3 - p**2 - 26*p - 4. Let u be -9*(2 - (-16)/(-6)). Let q(a) = 22*a**3 - 2*a**2 - 28*a - 4. Let d(h) = u*k(h) - 5*q(h). Factor d(b).
4*(b - 1)*(b + 1)*(4*b + 1)
Let z be (-1)/((56/(-21))/8). Determine h, given that 16 - 3*h - 96*h**2 + 204*h**3 + 0*h**5 + 3*h**5 - 88*h**z + 5*h - 32*h**4 - 9*h**5 = 0.
-8, -1/3, 1
Let a(o) be the second derivative of 1/50*o**5 - 148*o - 1/15*o**4 + 0 + 2/5*o**2 - 1/15*o**3. Let a(h) = 0. What is h?
-1, 1, 2
Let h = 3714387/13 - 285721. Suppose 0 + 0*a**4 + 0*a - 12/13*a**2 + 2/13*a**5 - h*a**3 = 0. Calculate a.
-2, -1, 0, 3
Suppose -1158*t = -1150*t - 16. Suppose -160*m + 76*m**4 - 12*m**5 - 43*m**2 + 18*m**5 + 309*m**2 + 310*m**3 - 3*m**t + 105*m**2 = 0. What is m?
-5, -4, 0, 1/3
Let o be (-16)/20*(225/34)/(-45). Factor 0 - o*b**2 - 2/17*b.
-2*b*(b + 1)/17
Let s be 2/(-15) + -2 + (-4268)/(-60). Suppose 90*o - s*o - 84 = 0. Solve 21/2*n + 15/2*n**3 + 3/2*n**o + 3 + 27/2*n**2 = 0.
-2, -1
Solve 408/11 - 208/11*j + 2/11*j**2 = 0 for j.
2, 102
Suppose 3*t + 21 = 3*b, -6*b + 9*b = 4*t + 19. Find c such that -2 - 212*c**2 - c**3 + b*c - 7 + 213*c**2 = 0.
-3, 1, 3
Let z(t) = -4*t**2 + 73*t + 273. Let w(l) = -l**2 + 24*l + 93. Let k(p) = 7*w(p) - 2*z(p). Factor k(y).
(y + 7)*(y + 15)
Let 2/21*g**3 - 134/21*g**2 + 0 + 44/7*g = 0. Calculate g.
0, 1, 66
Let r be 4058/460 + 652/(-29992). Solve -2/5*f**2 - r + 46/5*f = 0.
1, 22
Factor 98/17*t**3 - 2/17*t**4 - 282/17*t**2 + 278/17*t - 92/17.
-2*(t - 46)*(t - 1)**3/17
Let h(m) be the first derivative of 0*m**2 - 7 + 0*m**3 - 1/20*m**5 - 6*m + 0*m**4. Let l(f) be the first derivative of h(f). Let l(w) = 0. What is w?
0
Let d(g) = 3*g**3 - g**2 + 1. Let c(o) = -12*o**3 + 573*o**2 + 3*o - 573. Let b(q) = -c(q) - 3*d(q). Suppose b(i) = 0. What is i?
-1, 1, 190
Let n be ((-156)/624)/((-4)/48*(-3)/(-2)). Let l(s) be the first derivative of 4/5*s**5 - 4*s**4 + 0*s + 4/3*s**3 - 15 + 12*s**n. Factor l(x).
4*x*(x - 3)*(x - 2)*(x + 1)
Factor -371*n**2 + 2566 - 185*n**2 + 752*n**2 - 1428*n + 35.
(14*n - 51)**2
Let z(m) be the first derivative of -m**7/420 - m**6/40 - m**5/24 + m**4/4 + 55*m**2/2 + 3*m - 253. Let o(b) be the second derivative of z(b). Factor o(q).
-q*(q - 1)*(q + 3)*(q + 4)/2
Let o = 1318012 + -6590039/5. Factor o*t**3 - 78/5*t + 8/5 - 13*t**2.
(t - 4)*(t + 1)*(21*t - 2)/5
Let o(i) be the third derivative of i**5/60 - 17*i**4/6 + 67*i**3/6 + 761*i**2. What is a in o(a) = 0?
1, 67
Let f = -113 - -141. Let n be ((-8)/18)/(f/(-126)). What is p in 10/3*p**n - 4/3 - 2/3*p - 4/3*p**3 = 0?
-1/2, 1, 2
Let z(s) = s**3 + 112*s**2 + 546*s + 1181. Let b be z(-107). What is q in 24/5*q**2 + 2*q**b + 14/5*q**5 - 88/5*q**3 + 0 + 0*q = 0?
-3, 0, 2/7, 2
Let v(l) be the third derivative of 1/16*l**6 + 11*l**2 + 0*l**3 + 0*l**4 + 0 + 3/20*l**5 + 0*l + 1/140*l**7. Factor v(j).
3*j**2*(j + 2)*(j + 3)/2
Suppose 208589*a**3 - 208894*a**3 + 145*a**4 + 0 - 3 + 5*a**5 + 155*a**2 + 3 = 0. What is a?
-31, 0, 1
Suppose 3*q = 5*j + 236 + 137, q + 2*j = 128. Let w = q + -124. Suppose 15 + 33 + 0*h + 7*h - 4*h**w + 9*h = 0. Calculate h.
-2, 6
Let s(y) be the third derivative of -y**6/300 - 13*y**5/75 + 8*y**4/3 + 1120*y**3/3 - 8635*y**2. Factor s(t).
-2*(t - 14)*(t + 20)**2/5
Let s = -158847 + 639459/4. Let u = -1017 + s. Factor 0 + u*r**4 + 0*r**3 - 3/4*r**2 - 3/8*r**5 + 3/8*r.
-3*r*(r - 1)**3*(r + 1)/8
Factor 117/2*a + 10*a**2 + 81 + 1/2*a**3.
(a + 2)*(a + 9)**2/2
Let u(a) be the second derivative of 1/110*a**5 + 1/3*a**3 + 3 + 4/33*a**4 - 20/11*a**2 + a. Determine b so that u(b) = 0.
-5, -4, 1
Let f(y) be the first derivative of 5*y**6/6 - 6*y**5 + 45*y**4/4 + 20*y**3/3 - 30*y**2 + 589. Factor f(g).
5*g*(g - 3)*(g - 2)**2*(g + 1)
Let b(w) be the third derivative of -6*w + 1/6*w**4 - 5*w**2 + 0 + 2/3*w**3 + 1/60*w**5. Solve b(r) = 0.
-2
Let x(j) be the third derivative of -j**7/42 - j**6/4 + 37*j**5/12 - 25*j**4/4 - 872*j**2. Factor x(u).
-5*u*(u - 3)*(u - 1)*(u + 10)
Let a(p) = p**3 + 3*p**2 - 3*p + 155. Let i be a(0). Let h be 1972/186 - (-10)/i. Suppose -h*j**2 - 22/3*j**3 + 4 + 2/3*j = 0. What is j?
-1, 6/11
Let s(z) be the first derivative of z**4/6 + 350*z**3/9 + 7912*z**2/3 + 14792*z - 2170. Solve s(v) = 0.
-86, -3
Solve -52/5*d**2 + 30*d - 2/5*d**5 + 22/5*d**4 - 52/5*d**3 + 126/5 = 0.
-1, 3, 7
Suppose 0 = 68*i - 66*i - 20, i - 2 = 4*u. Factor -224/3*d - 4/3*d**3 + 208/3 + 68/3*d**u.
-4*(d - 13)*(d - 2)**2/3
Let s be (6/(-4) - -1)*-4. Let q be (6 - (3 - 18)) + (7 - 0). Determine y so that -80*y + 34 - 10*y**2 - s + 82*y**2 + 4*y**4 - q*y**3 = 0.
1, 2
Let -62/7*z + 9 - 1/7*z**2 = 0. Calculate z.
-63, 1
Let d**2 - 371 + 0*d**2 + 12109095*d - 12108725*d = 0. Calculate d.
-371, 1
Let m(g) be the third derivative of 0*g**3 + 0*g + 0 - 1/945*g**7 + 1/270*g**5 + 1/108*g**6 - 5/108*g**4 - 99*g**2. Determine b so that m(b) = 0.
-1, 0, 1, 5
Let t(w) be the third derivative of 1/224*w**8 + 0*w**6 + 0*w**5 + 0*w**4 + 58*w**2 - 1/140*w**7 + 0*w + 0*w**3 + 0. What is u in t(u) = 0?
0, 1
Let k = 1037/108 + -983/108. Let l = 117/4 + -29. Find f such that 3/4*f + k + l*f**2 = 0.
-2, -1
Let q(j) be the third derivative of 0*j + 45*j**2 + 1/30*j**6 + 1/5*j**5 + 0*j**4 + 0*j**3 - 1. Factor q(s).
4*s**2*(s + 3)
Suppose 5*x - 13 = -4*l, -x - 12 = -13. Factor 12*s + 4*s + 11788*s**2 - s**3 - 11773*s**l.
-s*(s - 16)*(s + 1)
Let f(h) be the first derivative of -h**6/2340 + h**5/195 - h**4/39 + 46*h**3/3 - 45. Let k(c) be the third derivative of f(c). Solve k(m) = 0.
2
Let i be 17/((-1530)/(-20))*18. Factor -2*f - 1 - 3/4*f**2 + 1/4*f**i + 1/2*f**3.
(f - 2)*(f + 1)**2*(f + 2)/4
Let p(q) = q**3 - 11*q + 24. Let y be p(-4). Let u(v) be the third derivative of -1/360*v**5 + 0 + 0*v + 19*v**2 - 7/144*v**y - 1/6*v**3. Factor u(x).
-(x + 1)*(x + 6)/6
Let z(w) be the third derivative of 44*w + 2/3*w**3 - 2/15*w**6 + 1/10*w**5 - 4/105*w**7 + 0 + 7/12*w**4 - w**2. Solve z(a) = 0 for a.
-2, -1/2, 1
Let b be (74/(-30) - (-16)/120)*(-21)/49. Let z(u) be the first derivative of 0*u - b + u**4 - 20/3*u**3 + 0*u**2. Factor z(i).
4*i**2*(i - 5)
Let y be (31 + -3)*(-18)/(-120). Find l, given that 12/5*l**2 + 0 - y*l = 0.
0, 7/4
Let c = 57 + -48. Suppose 5*z + c - 19 = 0. Factor 2*y**3 - 65*y**2 + z*y**3 + 69*y**2 - 8*y.
4*y*(y - 1)*(y + 2)
Let g(l) be the first derivative of l**6/24 + 281*l**5/10 - 1129*l**4/8 + 848*l**3/3 - 2263*l**2/8 + 283*l/2 + 1248. Factor g(a).
(a - 1)**4*(a + 566)/4
Let n(p) be the first derivative of -p**7/1120 + 3*p**5/160 + p**4/16 - 206*p**3/3 - 158. Let z(o) be the third derivative of n(o). Factor z(m).
-3*(m - 2)*(m + 1)**2/4
Let q = -104917 - -734421/7. Factor 32/7*w - 128/7 - q*w**2.
-2*(w - 8)**2/7
Let l(d) = d**3 + 3*d**2 + 4. Let t be l(-3). Let g be ((-180225)/(-747600))/(2/32). Determine a, given that g*a**2 + 0 + 3/7*a**t + 0*a - 18/7*a**3 = 0.
0, 3
Let q(r) be the third derivative of 0*r + 12 + 4*r**2 + 7/4*r**4 - 2/3*r**3 - 33/20*r**5 - 121/240*r**6. Let q(f) = 0. What is f?
-2, 2/11
Let a(x) be the third derivative of -x**5/60 + 5*x**4/12 - 19*x**3/3 + 15*x**2. Let y(c) = c + 1. Let z(j) = 5*a(j) + 10*y(j). Factor z(t).
-5*(t - 6)**2
Suppose -47 + 19 = 184*t - 28. Factor 0*a + t + 0*a**2 + 2/5*a**4 + 4/5*a**5 + 0*a**3.
2*a**4*(2*a + 1)/5
Let d(u) = -5*u**3 - 70*u**2 - 55*u + 86. Suppose -4*m - 88 = -12*m. Let o(p) = -3*p**3 - 36*p**2 - 27*p + 42. Let q(k) = m*o(k) - 6*d(k). Factor q(i).
-3*(i - 9)*(i - 1)*(i + 2)
Let t(y) be the second derivative of 0*y**2 - 8/21*y**7 - 2/5*y**6 + 0 + 82*y - 2/3*y**4 + 0*y**3 + 9/5*y**5. Let t(q) = 0. Calculate q.
-2, 0, 1/4, 1
Fac