.
-(u + 1)*(u + 6)/4
Let f = -31101 + 31113. Factor 3 + f*u**2 - 57/2*u + 27/2*u**3.
3*(u - 1)*(u + 2)*(9*u - 1)/2
Let c(d) be the second derivative of d**6/120 - d**4/8 + 23*d**3/2 - 2*d - 45. Let y(i) be the second derivative of c(i). Factor y(f).
3*(f - 1)*(f + 1)
Let s be 1*0/(36/12). Let r(a) be the first derivative of 18 + 0*a**2 + s*a - 1/12*a**3 - 1/20*a**5 + 1/8*a**4. Factor r(p).
-p**2*(p - 1)**2/4
Let y(t) be the third derivative of -t**5/120 - 181*t**4/48 - 15*t**3 + 3*t**2 - 2*t + 49. What is f in y(f) = 0?
-180, -1
Let l(w) = -w**2 + 3*w + 4. Let y(u) = 3*u**2 + 75*u - 102. Let h(g) = 4*l(g) + y(g). Factor h(d).
-(d - 86)*(d - 1)
Suppose 314*v + 219 = 1161. Factor 0*m - 1/10*m**v + 0 - 1/10*m**4 + 3/5*m**2.
-m**2*(m - 2)*(m + 3)/10
Let s be (-3 - -3)/4*-1. Let p be 20/15*((-81)/(-6) + s). Factor -3 + p*a**2 - 24*a + 2 + 4 + 5.
2*(3*a - 2)**2
Let n(q) = 32*q**2 - 2048*q - 2392. Let h(j) = -3*j**2 + 195*j + 228. Let i(k) = 52*h(k) + 5*n(k). Factor i(c).
4*(c - 26)*(c + 1)
Factor -2*x**4 - 120*x**3 - 352*x**3 + 56112*x - 246*x**3 - 18812*x**2 + 140454*x - 44538*x**2.
-2*x*(x - 3)*(x + 181)**2
Let i(n) be the second derivative of 0*n**3 + 0 - 23*n - 1/3*n**2 + 1/18*n**4. Determine m, given that i(m) = 0.
-1, 1
Let t(b) = 5 + 2 + 5 + b**2 + 5*b. Let w be t(-5). Find l, given that -w*l + 5*l - 2*l**2 - l = 0.
-4, 0
Let b(t) be the third derivative of t**5/180 - 5*t**4/36 - 352*t**3/9 - 8*t**2 - 10*t - 2. Factor b(o).
(o - 32)*(o + 22)/3
Let j(v) be the second derivative of v**6/30 + v**5/20 - 7*v**4/2 - 39*v - 55. Factor j(x).
x**2*(x - 6)*(x + 7)
Let b(u) be the first derivative of -71*u**4/24 - 4*u**3 + 47*u**2/4 + u/3 - 594. Factor b(i).
-(i - 1)*(i + 2)*(71*i + 1)/6
Suppose -2*j = -4*j + 122. Let v = -28 + j. Find n such that 42*n**4 - 18*n - 2*n**5 - 21*n**2 - n**5 + 10*n**3 - v*n**4 - n**3 = 0.
-1, 0, 2, 3
Factor 1286/7*z + 1280*z**2 + 46/7 - 56*z**3.
-2*(z - 23)*(14*z + 1)**2/7
Let v(g) be the second derivative of -1/294*g**7 - 11/70*g**6 - 64/21*g**4 + 8 - 72/35*g**5 + 3*g + 0*g**2 + 0*g**3. Determine a so that v(a) = 0.
-16, -1, 0
Let k = -1097 - -1102. Suppose 2*n + 90*a = 94*a - 8, 4*n - k*a + 7 = 0. Factor 432/5 - 72/5*x + 3/5*x**n.
3*(x - 12)**2/5
Let o(v) be the first derivative of v**5/35 - v**4/4 - 83*v**3/21 - 201*v**2/14 - 18*v + 3904. Factor o(b).
(b - 14)*(b + 1)*(b + 3)**2/7
What is c in 9493*c - 4676*c - 4498*c + 83*c**2 + c**3 + 237 = 0?
-79, -3, -1
Let w be 6/(-4)*(60/(-9) - -6). Let r be (-34)/(-8) + 6/(-2) - w. Let r*q + 3/4*q**3 + 0 + 1/4*q**4 + 3/4*q**2 = 0. What is q?
-1, 0
Let l(r) be the first derivative of 5*r**4/8 + 737*r**3/6 + 256*r**2 + 146*r + 8664. Find u, given that l(u) = 0.
-146, -1, -2/5
Let g be ((-1)/2)/(13/(-286)). Let f = -7 + g. Determine w so that -4*w + 3*w**3 - w + 3 + 9*w**2 + f*w + 10*w = 0.
-1
Factor -a**4 + 3*a**4 - 127327*a - 66857*a + 392*a**3 + 27720*a + 17544*a**2.
2*a*(a - 8)*(a + 102)**2
Factor -1480/3*c + 2/3*c**2 + 1478/3.
2*(c - 739)*(c - 1)/3
Factor 2/11*r**3 + 0*r**2 - 4/11 - 6/11*r.
2*(r - 2)*(r + 1)**2/11
Let m(p) be the first derivative of -39/2*p - 81/4*p**2 - 15/2*p**3 - 3/8*p**4 - 227. Factor m(d).
-3*(d + 1)**2*(d + 13)/2
Let r(z) = -188*z**3 - 5692*z**2 + 2140*z + 28. Let p(v) = -36*v**3 - 1035*v**2 + 389*v + 5. Let w(c) = -28*p(c) + 5*r(c). Determine m so that w(m) = 0.
-8, 0, 6/17
Suppose 2*w - 3*n = -4, -3*n + 18 + 10 = 4*w. Let v be (2 - (w - 5)) + 2. Factor -82*z**3 - z**4 + 3*z**v + 4*z**4 + 82*z**3.
3*z**4*(z + 1)
Solve -156 - 8734*c - 166*c**2 + 2*c**2 + 8418*c - 4*c**3 = 0 for c.
-39, -1
Let i(v) = -2*v**3 + 61*v**2 - 81*v + 1532. Let l be i(30). Suppose -58/9*w**4 + 2000/9*w + 0 - 60*w**3 - 2/9*w**5 - 1400/9*w**l = 0. Calculate w.
-10, 0, 1
Suppose -2*x + 0*x + 658 = -4*b, 3*x - 9 = 0. Let a = -127 - b. Factor 363/4*u**4 + 3*u + 0 + 495/4*u**3 + a*u**2.
3*u*(u + 1)*(11*u + 2)**2/4
Let m(v) be the second derivative of 3*v**4/20 + 13*v**3/15 - 3521*v. Factor m(t).
t*(9*t + 26)/5
Let u = 538 - -170. Let l = -694 + u. Solve 32/7 + l*z**2 + 16*z = 0 for z.
-4/7
Let c be ((-99)/(-55) + -8)*(-6)/(-2). Let s = c + 563/30. Determine r so that 0*r**2 + s - 1/6*r**4 + 1/3*r**3 - 1/3*r = 0.
-1, 1
Let w(c) be the second derivative of -5*c**7/42 - 35*c**6/2 - 3675*c**5/4 - 214375*c**4/12 + 386*c - 3. Factor w(v).
-5*v**2*(v + 35)**3
Let c(k) be the third derivative of -k**5/150 - 8*k**4/15 - 31*k**3/15 + k**2 + 520. Determine g, given that c(g) = 0.
-31, -1
Let l(c) = 10*c**2 + 12*c - 1. Let h(y) = 0*y**3 - 4*y**3 + 2*y**3 + 1. Let w(z) = -2*h(z) - 2*l(z). Factor w(d).
4*d*(d - 6)*(d + 1)
Let p(z) be the first derivative of 4*z**5/35 - 12*z**4/7 + 20*z**3/3 - 471. Find m such that p(m) = 0.
0, 5, 7
Suppose 274*l - 7414 = -6592. Solve -4/3 + 46/9*f - 68/9*f**2 + 2/9*f**5 + 16/3*f**l - 16/9*f**4 = 0.
1, 2, 3
Let l = 20227 - 80895/4. Factor 0 - 1/4*i**2 - l*i.
-i*(i + 13)/4
Let y(h) be the second derivative of -h**7/14 - 4*h**6/5 - 21*h**5/20 + 9*h**4 + 18*h**3 - 8052*h. Determine l, given that y(l) = 0.
-6, -3, -1, 0, 2
Let u(n) be the first derivative of 1/13*n**2 - 1/26*n**4 - 37 + 6/13*n - 2/13*n**3. Factor u(k).
-2*(k - 1)*(k + 1)*(k + 3)/13
Let i(b) be the first derivative of -2*b**3/9 - b**2/3 + 2387. Suppose i(x) = 0. What is x?
-1, 0
Let z(m) be the first derivative of -m**4/10 + 278*m**3/15 - 544*m**2/5 + 216*m + 237. Determine u so that z(u) = 0.
2, 135
Suppose m + 2*n + 10 = -0*m, -5*m = n + 5. Let s be (m + -2)*(-15)/10. Factor 27*j - 25*j + 0*j**4 + 5*j**4 + 5*j**2 - j**4 - 11*j**s.
j*(j - 2)*(j - 1)*(4*j + 1)
Let b be (-616)/(-7546)*42/4. Factor 0 - b*i**2 + 4/7*i + 2/7*i**3.
2*i*(i - 2)*(i - 1)/7
Suppose 1816/9*x - 140/9 + 52/9*x**2 = 0. What is x?
-35, 1/13
Let l(r) be the first derivative of -r**5/20 - r**4/2 - 11*r**3/6 - 3*r**2 - 9*r/4 + 9511. Suppose l(k) = 0. What is k?
-3, -1
Let h(j) = 3*j**2 - 25*j + 15. Let c be h(8). Suppose 3*f - 4 = -4*l, c - 5 = 2*l. What is r in -5/4*r**3 + 0*r**2 + 0*r + f + 5/4*r**4 = 0?
0, 1
Let x(i) = i**2 + 2*i - 6. Let b(j) = 61*j**2 - 1801*j - 102. Let n(k) = -b(k) + 6*x(k). Factor n(y).
-(y - 33)*(55*y + 2)
Let r(f) be the first derivative of -2*f**3/21 + 19*f**2/7 - 156*f/7 + 808. Solve r(w) = 0 for w.
6, 13
Let m(t) be the third derivative of 1/10*t**4 - 4*t**2 + 0*t**6 + 0 + 0*t**3 - t - 7/150*t**5 + 1/525*t**7. Factor m(l).
2*l*(l - 2)*(l - 1)*(l + 3)/5
Let n(x) be the second derivative of -x**7/21 - 2*x**6/3 - 6*x**5/5 + 17*x**4/3 + 13*x**3/3 - 24*x**2 + 911*x. Solve n(m) = 0.
-8, -3, -1, 1
Let o(b) be the third derivative of 3*b**5/5 - 53*b**4/3 + 150*b**3 + 399*b**2 + 15. Determine m so that o(m) = 0.
25/9, 9
Let l(q) = 3*q**2 - 39*q + 70. Let u(g) = -21*g**2 + 273*g - 489. Let z = 453 + -426. Let m(h) = z*l(h) + 4*u(h). Factor m(b).
-3*(b - 11)*(b - 2)
Let a be ((-1)/(-3)*-4)/(4/(-6)). Suppose a*d = -c + 21, -3*d - d - 3 = -c. Factor 0 + 0 - c - 6*u + 3*u**2 + 6.
3*(u - 3)*(u + 1)
Suppose -8*y = -9*y + 3. Suppose -2*s - y*l = 3, 15 - 2 = -2*s - 5*l. Determine m, given that 0*m**3 - m**3 + 4 + 6*m**3 - 3*m**2 - s*m**3 = 0.
-2, 1
Let y(d) = -18*d**4 - 37*d**3 + 115*d**2 - 54*d - 10. Let g(l) = l**4 + l**3 + 2. Let s(r) = g(r) + y(r). Factor s(p).
-(p - 1)**2*(p + 4)*(17*p + 2)
Let i(w) be the first derivative of 3*w**5/5 + 30*w**4 + 182*w**3 + 372*w**2 + 315*w - 2400. Let i(v) = 0. Calculate v.
-35, -3, -1
Let p(h) = -2*h - 1. Let z(q) = -3*q**2 + 582*q + 3. Let c(l) = 3*p(l) + z(l). Let c(n) = 0. What is n?
0, 192
Suppose -2*y - 2*o = -10, y = -7*o + 5*o + 4. Determine q so that 7*q**2 + 9 - 9*q**2 + y + 20*q + 7*q**2 = 0.
-3, -1
Let b = -6227 + 6246. Let c(f) be the second derivative of 1/4*f**4 - 6*f**2 + 3/20*f**5 - b*f + 0 - 2*f**3. Solve c(m) = 0 for m.
-2, -1, 2
Let l be (-12*(-16)/(-864))/((-24)/81). Factor 0 + l*i - 1/4*i**2.
-i*(i - 3)/4
Let l(r) = -2*r**2 + 134*r + 142. Let i(g) = 8*g**2 - 670*g - 711. Let f(p) = -2*i(p) - 11*l(p). Suppose f(a) = 0. What is a?
-1, 70/3
Let h be 17/34 - (-96)/64. Factor 15*b + 3/2*b**h + 24.
3*(b + 2)*(b + 8)/2
Let r = 293 + -290. Determine m so that -m**3 + 567*m**2 + 4418*m - 755*m**2 + r*m**3 = 0.
0, 47
Solve 3470*d**2 - 74*d**4 - 14*d**4 + 2*d**5 + 176*d**3 - 92*d**4 - 3290*d**2 - 178*d = 0.
-1, 0, 1, 89
Let p be 1*3 + 0 + -6 + 8. Determine u so that -2*u - 