3*(b - 1)*(b + 3)*(b + 124)
Let n(t) = -t**2 + 22*t - 45. Suppose 13*h - 69 + 17 = 0. Let j(z) = 2*z**2 - 46*z + 89. Let l(u) = h*j(u) + 9*n(u). Determine c, given that l(c) = 0.
7
Let p be (-7 - (-198)/30)*-5. Factor 0*q**2 + 3*q**2 - 5*q**3 + 0*q**2 + p*q**2 + 50*q + 258 - 218.
-5*(q - 4)*(q + 1)*(q + 2)
Let h(c) be the first derivative of -c**4/5 - 116*c**3/15 - 72*c**2 - 1008*c/5 + 5616. Determine w, given that h(w) = 0.
-21, -6, -2
Let k(r) be the first derivative of 7*r**6/72 - 23*r**5/24 + 5*r**4/4 - 39*r**3 + 307. Let f(b) be the third derivative of k(b). Factor f(q).
5*(q - 3)*(7*q - 2)
Suppose -76*o = -2336674 + 2336674. Solve 3/7*r**5 - 3*r**3 - 36/7*r - 6/7*r**4 + o + 60/7*r**2 = 0 for r.
-3, 0, 1, 2
Let k(x) = x**3 + x**2 + x + 1. Let f(w) = -w**3 + 22*w**2 - 16*w + 57. Let h(j) = 3*f(j) + 12*k(j). Let l(u) be the first derivative of h(u). Solve l(v) = 0.
-6, 2/9
Let n be -4 + 7 + 6668/(-2436). Let f = n + 2/87. Factor u + 5/7*u**3 - 1/7*u**4 - f - 9/7*u**2.
-(u - 2)*(u - 1)**3/7
Let m be 2 + (5 - (2 - -3))/(-2). Find p such that 20 + 92*p - m*p**2 - 53*p - 45*p = 0.
-5, 2
Let s(b) be the second derivative of -81 - 484*b**2 - 1/6*b**4 - 44/3*b**3 - 3*b. Factor s(f).
-2*(f + 22)**2
Let r be 2/((64/316)/(-8)). Let s = 79 + r. Solve 1/7*i**5 + 0*i**2 + 0 + s*i**3 + 0*i + 1/7*i**4 = 0 for i.
-1, 0
Let g(t) be the second derivative of -t**4/30 - 2*t**3/15 + 7*t**2 - 1802*t. Factor g(u).
-2*(u - 5)*(u + 7)/5
Let u(j) = -48*j**2 - 1443*j - 87. Let v be u(-30). Determine x so that -97/11*x**2 - 139/11*x**v - 4/11 - 25/11*x**5 - 95/11*x**4 - 32/11*x = 0.
-1, -2/5
Suppose 4*r = 5*y + 29, 5*y + 17 - 10 = 2*r. Determine v, given that 1/2*v - 17/4*v**2 + 3*v**y + 3/4 = 0.
-1/3, 3/4, 1
Factor -1189/5*h - 1/5*h**3 - 596/5*h**2 - 594/5.
-(h + 1)**2*(h + 594)/5
Suppose 3*t - 17 = -f, 20 = 10*t - 6*t. Let x be f/4 - ((-1465)/170 + 9). Solve 2/17*d**2 - 2/17*d**3 - x + 2/17*d = 0.
-1, 1
Determine k so that 174/5*k**3 - 384/5*k**2 + 3/5*k**4 + 0 - 288*k = 0.
-60, -2, 0, 4
Let g(a) be the first derivative of -5*a**6/12 - 179*a**5/2 + 2715*a**4/8 - 2725*a**3/6 + 455*a**2/2 - 1246. What is f in g(f) = 0?
-182, 0, 1
Suppose -27*l = 6*l - 528. Let o be l + -13 + 3/(-2 + -1). Factor -22/21*j**o + 24/7*j**3 - 128/21*j**5 + 0 - 32/21*j**4 + 2/21*j.
-2*j*(j + 1)*(4*j - 1)**3/21
Suppose -10*m + 4*m - 120 = 0. Let f be -5*(88/m - -3). Factor -f + 45*u**2 + 6 - 42*u**2 - 11.
3*(u - 2)*(u + 2)
Let y(j) = -3*j + 59. Let g be y(18). Suppose -r = -g*d + 14, -8 = 6*r - 4*r. Factor 6*z - 7*z**2 + 30 + d*z**3 - 12 - 3*z**2.
2*(z - 3)**2*(z + 1)
Let c(i) = -i**2 + 7*i - 10. Let q(u) = -u**3 - 23*u**2 - 20*u + 48. Let s be q(-22). Let p be c(s). Factor -1/2*x - 1/4*x**p + 3/4.
-(x - 1)*(x + 3)/4
Determine l so that -571 - 8*l - 20*l**2 - 582 + 1233 + 2*l**3 = 0.
-2, 2, 10
Let q(d) = -150*d**4 + 973*d**3 - 2027*d**2 + 2016*d - 700. Let p(g) = 30*g**4 - 194*g**3 + 406*g**2 - 403*g + 140. Let x(s) = 16*p(s) + 3*q(s). Factor x(r).
5*(r - 2)**2*(r - 1)*(6*r - 7)
Let a(z) = -19*z**3 - 1189*z**2 - 18*z + 1448. Let x(g) = -g**3 - 66*g**2 - g + 80. Let t(q) = -4*a(q) + 74*x(q). Factor t(b).
2*(b - 64)*(b - 1)*(b + 1)
Let g(x) = -36*x**2 - 97*x - 89. Let v(s) = -31*s**2 - 96*s - 89. Let h(y) = -6*g(y) + 7*v(y). Factor h(q).
-(q + 1)*(q + 89)
Let 0 + 1152/7*z**2 + 0*z - 190/7*z**4 + 4/7*z**5 + 2208/7*z**3 = 0. What is z?
-1/2, 0, 24
Suppose -5*u - 33 = -z - 21, 4*z = 5*u + 18. Let 18*a - 38*a**3 - 40*a**3 + 164*a**3 - z*a**5 + 71*a**2 + 8*a**4 + 23*a**4 = 0. Calculate a.
-1, -1/2, 0, 18
Let n(k) be the first derivative of 5*k**3/3 + 4385*k**2/2 - 1704. Let n(g) = 0. Calculate g.
-877, 0
Factor 28725/4*l**2 + 56181887/4 + 125/4*l**3 + 2200335/4*l.
(5*l + 383)**3/4
Let c(z) be the second derivative of -z**4/6 - 1256*z**3/3 - 394384*z**2 + 189*z + 2. Factor c(y).
-2*(y + 628)**2
Let v be 106/(-210) - ((-11)/(-33))/(-1). Let o = v - -83/280. Factor -1 + 1/4*a**2 + 1/2*a - o*a**3.
-(a - 2)**2*(a + 2)/8
Let k(l) = -8*l**3 - 8792*l**2 - 967968*l - 959184. Let o(x) = -3*x**3 - 3517*x**2 - 387187*x - 383673. Let n(f) = -5*k(f) + 12*o(f). Solve n(w) = 0.
-219, -1
Let t(b) = 2175*b - 4348. Let q be t(2). Factor 4/3 + 10/9*i - 2/9*i**q.
-2*(i - 6)*(i + 1)/9
Let m(t) = -2*t**3 + 23*t**2 + 23*t + 35. Let q be m(14). Let l = q + 625. Determine h so that 8/5*h - 4/5*h**l - 4/5 = 0.
1
Let d = -37943/26 + 18991/13. Factor 12 + 21/2*l - d*l**2.
-3*(l - 8)*(l + 1)/2
Suppose 5*a + 3*v = 272, -5*a + 23 = -5*v - 257. Solve 90*f**3 + a*f - 76*f**3 - 269*f**2 + 44 - 6 = 0.
-2/7, 1/2, 19
Factor 25*f**2 + 215*f**3 - 220*f**3 + 1700 + 273*f + 647*f.
-5*(f - 17)*(f + 2)*(f + 10)
Let j(t) = -31 - 36*t - 28*t + 4*t**2 + 42 + 264 - 19. Let r(s) = s**2 + 7*s**2 + 231 + 281 - 128*s. Let o(u) = 5*j(u) - 2*r(u). Factor o(k).
4*(k - 8)**2
Let a(s) be the third derivative of s**6/30 - 347*s**5/15 + 277*s**2 + 4*s. Solve a(r) = 0.
0, 347
Let b(p) be the first derivative of 0*p**2 - 2*p**3 + 0*p + 2/5*p**5 + p**4 + 118. Let b(n) = 0. Calculate n.
-3, 0, 1
Let o(r) = -205*r**3 - 4090*r**2 + 75075*r - 134750. Let u(h) = 19*h**3 + 372*h**2 - 6825*h + 12250. Let x(z) = -6*o(z) - 65*u(z). Factor x(t).
-5*(t - 35)**2*(t - 2)
Factor 958*v**4 + 1582*v**5 - 1332*v**5 + 216*v + 1134*v**2 + 492*v**4 + 2070*v**3.
2*v*(v + 4)*(5*v + 3)**3
Suppose 0 = -n - q, 6 - 4 = 2*q. Let c be (3/(-1) - 72/(-30))/n. Suppose 0 + c*b**2 + 0*b**3 - 2/5*b - 1/5*b**4 = 0. Calculate b.
-2, 0, 1
Let y(x) = -12*x**2 - 8*x - 24. Let o(l) = -4*l**2 - 2*l - 9. Let w(i) = -8*o(i) + 3*y(i). Factor w(n).
-4*n*(n + 2)
Let o(v) be the first derivative of -2*v**5/5 - 205*v**4/12 - 1768*v**3/9 - 289*v**2/6 + 3266. Factor o(s).
-s*(s + 17)**2*(6*s + 1)/3
Let k = 221170/9633 - -1200/3211. Suppose 25*i + k + 5/3*i**2 = 0. Calculate i.
-14, -1
Let t(k) be the first derivative of -2*k**3/5 - 1526*k**2/5 - 2032*k/5 - 4019. Solve t(i) = 0.
-508, -2/3
Let b(p) be the second derivative of 0*p**2 - 7/5*p**5 - 155*p + 8/15*p**6 + 0 + 2/3*p**3 + 2/3*p**4. Factor b(g).
4*g*(g - 1)**2*(4*g + 1)
Suppose -4*i + 53 = -w, -4*i + 2*w + 34 = -2*i. Suppose 28*q = 22*q + i. Determine a so that 104*a**2 - 48*a**2 - 3*a**4 - 53*a**q = 0.
-1, 0, 1
Find v, given that -834/5*v**2 - 168*v - 21/5*v**4 - 45 - 48*v**3 = 0.
-5, -1, -3/7
Factor -39/2*d**2 + 135*d - 1/2*d**3 + 0.
-d*(d - 6)*(d + 45)/2
Suppose 115*f - 41196 - 157524 = 0. Factor 4/3*h**2 + 96*h + f.
4*(h + 36)**2/3
Let i(c) be the first derivative of -112 + 1/4*c**4 + 7/2*c**2 - 147*c + 11/3*c**3. Factor i(h).
(h - 3)*(h + 7)**2
What is y in -10896 - 10194 - 2*y**2 + 21952 + 860*y = 0?
-1, 431
Let r be ((-55)/(-726) - ((-21)/(-77))/(-3))*2. Find d, given that -r*d - 1/3*d**3 + 0 + 2/3*d**2 = 0.
0, 1
Let r(g) = g**3 - g**2 - 2*g - 43. Let j be r(0). Let s = j + 48. Factor -f + 3*f + s*f**2 - 2*f.
5*f**2
Factor -44/3*i**4 + 0 + 4/9*i**5 + 144*i**3 - 192*i**2 - 2304*i.
4*i*(i - 12)**3*(i + 3)/9
Let v(f) be the third derivative of 1/3*f**4 - 1/6*f**5 + 0 + 0*f**3 - 1/40*f**6 - 3*f**2 + 48*f. Solve v(y) = 0.
-4, 0, 2/3
Suppose -5 + 801/4*x - 10*x**2 = 0. What is x?
1/40, 20
Let s(g) be the second derivative of 0*g**3 - 1 + 0*g**4 - 40*g + 1/2*g**5 + 1/30*g**6 + 0*g**2. Factor s(u).
u**3*(u + 10)
Let o(p) be the first derivative of 204 - 48*p - 9*p**3 - 3/4*p**4 - 36*p**2. Solve o(r) = 0.
-4, -1
Let p(n) be the third derivative of -n**8/2240 - n**7/280 + n**6/10 - 7*n**5/10 - 35*n**4/24 + 17*n**2. Let v(c) be the second derivative of p(c). Factor v(w).
-3*(w - 2)**2*(w + 7)
Factor 313/7*m + 46 - 1/7*m**3 - 10/7*m**2.
-(m - 14)*(m + 1)*(m + 23)/7
Let v(a) be the first derivative of -a**6/720 - 7*a**5/240 - a**4/4 - 110*a**3/3 + 66. Let r(t) be the third derivative of v(t). Factor r(p).
-(p + 3)*(p + 4)/2
Let d(x) be the first derivative of x**5/120 + x**4/4 + 63*x**2/2 + 86. Let r(o) be the second derivative of d(o). Suppose r(p) = 0. Calculate p.
-12, 0
Let x = -1585 - -818. Let u = x - -6904/9. Factor u*w + 1/3*w**2 + 0 + 1/9*w**4 + 1/3*w**3.
w*(w + 1)**3/9
Let 228/7 + 50/7*x + 2/7*x**2 = 0. Calculate x.
-19, -6
Determine n so that -427/2*n**2 + 0 - 143*n + 3/2*n**3 = 0.
-2/3, 0, 143
Suppose 0 = -4*m - 5*h + 452, -3*m + 11*h = 7*h - 370. Suppose 0 = -4*p - m + 126. Factor 0*y + 3/2*y**p + 0 + 3/4*y**3.
3*y**2*(y + 2)/4
Let f(t) = 5*t