 Factor d(a).
-2*(a - 1)*(a + 2)*(a + 415)
Let 0*i + 220*i**3 + 0 + 0*i**2 + 5/3*i**5 + 185/3*i**4 = 0. What is i?
-33, -4, 0
Let l(q) be the second derivative of 0 + q - 9*q**2 + 1/60*q**5 + 0*q**4 - 3/2*q**3. Factor l(a).
(a - 6)*(a + 3)**2/3
Let n = 15193/13659 - 94/87. Let m = n - -603/785. Suppose 0 + 2/5*g**2 + m*g = 0. Calculate g.
-2, 0
Let t(g) be the second derivative of g**5/120 - g**4/8 + 7*g**3/18 + 342*g + 2. Determine j, given that t(j) = 0.
0, 2, 7
Let v(s) be the first derivative of -s**3 + 1692*s**2 + 3885. Factor v(t).
-3*t*(t - 1128)
Factor -3*c + 2739*c**2 - 192 + 2742*c**2 - 5289*c**2 + 3*c**3.
3*(c - 1)*(c + 1)*(c + 64)
Suppose -62*t + 95*t = -14*t - 21*t + 136. Let -105 - 5/3*g**t - 40*g = 0. What is g?
-21, -3
Let o(v) = -24*v - 188. Let a = 128 - 136. Let n be o(a). Factor 2/19*b**n + 2/19*b**5 + 0 + 0*b**3 + 0*b + 0*b**2.
2*b**4*(b + 1)/19
Let a(p) be the second derivative of 2/3*p**3 + 2 + 1/24*p**4 - 48*p + 7/4*p**2. Solve a(s) = 0 for s.
-7, -1
Let v = 69 - -129. What is k in 9*k**3 - 50*k**5 - 4*k + v*k**4 - 8*k - 60*k**2 + 12*k**4 - 97*k**5 = 0?
-2/7, 0, 1
Let k(n) = n**2 - 2. Let r(f) = -35*f**2 - 40*f + 25. Let w be (60/(-40) + (-10)/(-4))*-1. Let z(d) = w*r(d) - 30*k(d). Factor z(i).
5*(i + 1)*(i + 7)
Factor 0 - 3/4*v**2 - 321/2*v.
-3*v*(v + 214)/4
Let w be (-27 - -22) + (-3)/(8 - 11)*7. Suppose 4/3*j**w + 2/3*j**3 - 2/3*j - 4/3 = 0. Calculate j.
-2, -1, 1
Let q(o) = o**4 + o**3 - o**2 + o - 1. Let l(k) = 7*k + 111*k**4 - 6*k**2 - 2*k**3 - 107*k**4 - 5*k**3 - 1. Let r(x) = l(x) - q(x). Factor r(z).
z*(z - 3)*(z + 1)*(3*z - 2)
Factor -2*v**2 - 89*v**3 + 149*v + 0*v**2 - v**5 - 59*v**3 - 62 - 12 + 53*v**4 + 23*v**4.
-(v - 74)*(v - 1)**3*(v + 1)
Factor 0 - 553/6*g**2 + 92/3*g + 1/2*g**3.
g*(g - 184)*(3*g - 1)/6
Let f = 2605 + -2600. Let c(z) be the second derivative of 0 + 1/35*z**f - 1/105*z**6 + 0*z**2 + 0*z**3 + 26*z + 0*z**4. What is g in c(g) = 0?
0, 2
Let j be ((-9)/(-15))/(8/(-140)*(-84)/16). Solve 6/7*f**4 + 60/7*f**j - 16/7*f - 38/7*f**3 + 0 = 0 for f.
0, 1/3, 2, 4
Let k be (225/(-600))/(4/(-32)). Let u(n) be the second derivative of 0*n**2 + 0 - 5*n + 1/5*n**k + 1/20*n**4. Factor u(j).
3*j*(j + 2)/5
Let y be (-4536)/5184*(-2)/28. Let i(u) be the first derivative of 1/8*u**2 - 28 - y*u**4 + 1/12*u**3 - 1/4*u. Let i(z) = 0. What is z?
-1, 1
Let y be ((-10)/(-2))/(-4*3/(-300)). Let v = -370/3 + y. Determine x so that 5/3*x**3 + 5/6*x**4 - v*x + 0 - 5/6*x**2 = 0.
-2, -1, 0, 1
Factor 9216*z**2 + 707 - 280 + 599 + 27*z**3 - 6153*z.
3*(z + 342)*(3*z - 1)**2
Let y = 50 + -48. Suppose -h = -y*h + 5. Factor 2*r**4 + 3*r**4 + 3*r**2 - 229*r**5 + 228*r**h - 7*r**3.
-r**2*(r - 3)*(r - 1)**2
Let k(z) = 4*z**2 - 116*z + 8. Let l(h) = h**2 - h + 1. Suppose 57*q = 63*q + 6. Let b(i) = q*k(i) + 8*l(i). Suppose b(x) = 0. Calculate x.
-27, 0
Let l(j) be the second derivative of 2*j**6/5 + 359*j**5/70 + 167*j**4/42 - 134*j**3/21 + 16*j**2/7 + 3641*j. Suppose l(d) = 0. Calculate d.
-8, -1, 1/6, 2/7
Factor -98*f - 690 - 19*f - 438 + 0*f + 341*f**2 - 338*f**2.
3*(f - 47)*(f + 8)
Let g(r) be the first derivative of 2*r**3/3 - 14*r**2 + 66*r + 6182. Factor g(l).
2*(l - 11)*(l - 3)
Let b be 29/(-2436)*140*(-2)/5. Factor -b*g**4 + 20/3*g**3 - 74/3*g**2 - 24 + 40*g.
-2*(g - 3)**2*(g - 2)**2/3
Let r(j) = -8*j + 77. Let o be r(7). Suppose -o*l**3 + 5*l**2 + 27*l**2 + 30*l**3 - 2*l**2 - 3*l**4 = 0. What is l?
-2, 0, 5
Let v(u) = 14*u**3 - 37*u**2 + 50*u + 6. Let p(f) = 21*f**3 - 57*f**2 + 74*f + 10. Let a(y) = -5*p(y) + 7*v(y). Factor a(g).
-(g - 2)**2*(7*g + 2)
Factor 2/13*j**4 + 128/13*j**2 + 0 - 32/13*j**3 + 0*j.
2*j**2*(j - 8)**2/13
Let m(u) be the second derivative of 2 + 3/2*u**4 + 7/5*u**5 + 0*u**2 + 0*u**3 + 1/3*u**6 - 77*u. Factor m(q).
2*q**2*(q + 1)*(5*q + 9)
Let 4277*w**2 - 170 - 3977*w**2 + 4*w**4 - 60*w**3 - 180*w + 506 - 400*w = 0. Calculate w.
1, 3, 4, 7
Suppose 209 + 65*p**4 + 97 + 5*p**5 + 715*p**2 + 760*p + 315*p**3 - 6 = 0. What is p?
-5, -3, -2, -1
Let i(g) be the second derivative of g**7/2520 - 7*g**6/720 + g**5/12 - 41*g**4/6 - 3*g. Let z(y) be the third derivative of i(y). Factor z(r).
(r - 5)*(r - 2)
Let t = 2015 + -960. Let z = t + -7370/7. Find l, given that -12/7*l - 3/7*l**5 + 0 + 9/7*l**2 + z*l**3 - 9/7*l**4 = 0.
-4, -1, 0, 1
What is w in w**4 + 113/5*w**3 + 16 - 3/5*w**5 + 279/5*w**2 + 254/5*w = 0?
-10/3, -1, 8
Factor -2/5*q**2 + 1552/5*q - 301088/5.
-2*(q - 388)**2/5
Let o(p) = p**3 - 6*p**2 + 5*p. Let y be o(5). Suppose y*l = -2*l - l. Factor -25 + 2*t - 8*t - 29*t - t**3 - 11*t**2 + l.
-(t + 1)*(t + 5)**2
Let y(w) = 62*w + 370. Let r be y(-5). Let d(u) be the first derivative of -15/2*u**4 - r*u**2 - 3/5*u**5 - 33*u**3 + 7 - 48*u. Solve d(x) = 0.
-4, -1
Let w(h) = -h**2. Let q(k) = -3*k + 82. Let y be q(27). Let g(d) = -3*d**3 + 8*d**2 + 27*d + 15. Let z(v) = y*w(v) - g(v). Let z(n) = 0. Calculate n.
-1, 5
Suppose -3*x + 86 = f + 3*f, 0 = 2*f + 2. Let s = x + -26. Determine h so that 3*h**5 - 6*h**3 - 9 + 3*h - 6*h**s + 8 - 5 + 12*h**2 = 0.
-1, 1, 2
Let q = -98951 - -98951. Determine v, given that 8/5*v + q - 1/5*v**3 - 7/5*v**2 = 0.
-8, 0, 1
Let c = 536 + -549. Let a be (260/24)/c + 1. Solve -1/6*m**5 + 1/3*m**3 + 0*m**4 + 0*m**2 + 0 - a*m = 0 for m.
-1, 0, 1
Let n(s) be the second derivative of -51*s**5/4 + 1535*s**4/6 - 1550*s**3 + 180*s**2 + 710*s. Factor n(k).
-5*(k - 6)**2*(51*k - 2)
Let s(n) be the first derivative of 3*n**4/28 - 34*n**3/7 + 825*n**2/14 - 726*n/7 - 1306. Suppose s(t) = 0. What is t?
1, 11, 22
Let k = 50615/354256 - 1/50608. Find z such that -43/7 - k*z**2 + 44/7*z = 0.
1, 43
Let p be (52/26)/(5 + 222/(-42)) - 115/(-15). Find z such that -6*z + 20/3 - p*z**2 = 0.
-10, 1
Let p(m) = 9*m**2 - 8*m + 12. Let g be p(2). Let u be (g - 35)/((-6)/4). Factor -3/2*n**4 - 3/2*n**u + 0*n - 3*n**3 + 0.
-3*n**2*(n + 1)**2/2
Let s be ((-80)/90)/4 + 580/18. Let s - 186*m**3 - 143*m + 299*m**4 - 9*m + 18*m**5 + 256*m**2 + 20*m**3 - 287*m**4 = 0. What is m?
-4, 2/3, 1
What is l in 1066/5*l**2 - 3362/15*l + 0 + 2/15*l**4 + 54/5*l**3 = 0?
-41, 0, 1
Let c be 6/(-10)*((-266432)/(-168))/(-23). Let v = 291/7 - c. Let 0 - 2/5*u**2 + 0*u + 2/5*u**4 - v*u**5 + 1/5*u**3 = 0. Calculate u.
-1, 0, 1, 2
Let a = 839464 + -2518384/3. Suppose 2/3*b**4 - 4/3*b**3 + 0 - a*b**2 + 16/3*b = 0. Calculate b.
-2, 0, 2
Determine f, given that 552*f - 90*f**4 + 1718/3*f**2 + 120 + 6*f**5 - 122/3*f**3 = 0.
-2, -2/3, -1/3, 3, 15
Let a be 251208/144 + -2 + 11/6. Let m = a + -1744. Factor m*r**3 + 1/3*r + 4/3*r**2 - 2.
(r - 1)*(r + 2)*(r + 3)/3
Let m(i) = -19*i**2 - 1962*i - 97956. Let b(q) = -9*q**2 - 982*q - 48981. Let u(c) = -9*b(c) + 4*m(c). Factor u(k).
5*(k + 99)**2
Suppose -2*n + n = -7. Suppose -11*l + 16 = -n*l. Factor 69*f + 98*f**l - 8 - 56*f**3 - 45*f**2 - 59*f**2 + 14*f**2 - 13*f.
2*(f - 1)*(f + 1)*(7*f - 2)**2
Solve 34*g**3 - g**4 - 11*g**2 - 176*g + 228 + 41*g - 29*g - 14*g**3 = 0.
-3, 2, 19
Let d(n) be the third derivative of 8*n**3 + 0*n - 1/15*n**5 + 4/3*n**4 + 2 - 1/30*n**6 - 6*n**2. Suppose d(v) = 0. What is v?
-2, 3
Let b(x) = -x**2 + 129*x + 432. Let q(t) = -4*t**2 + 644*t + 2160. Let m(f) = 16*b(f) - 3*q(f). Factor m(w).
-4*(w - 36)*(w + 3)
Suppose g - 3*k = 2*k + 58, -3*g + 5*k = -124. Find s such that 0*s**3 + 48*s + 6 + 2*s**3 - 18*s**2 - 14 + 1 - g = 0.
2, 5
Let i(c) be the first derivative of 2*c**3/27 - 118*c**2 + 2122*c/9 + 2911. Factor i(a).
2*(a - 1061)*(a - 1)/9
Let y(r) = -2*r**3 - 23*r**2 - 11*r + 2. Let o be y(-11). Suppose 4*d + 2*i = 14, -4*d + o*d + 3*i - 5 = 0. Solve 8*k**2 - 16*k - 12*k**d + 0*k**2 = 0.
-4, 0
Let t = -22/3985 + 163517/23910. Solve -t*h**3 - 11/6*h + 2 - 1/2*h**4 - 61/6*h**2 = 0 for h.
-12, -1, 1/3
Let t(r) = -32*r**3 + 152*r**2 - 120*r. Let a(h) = -6*h**3 - 3*h - 3*h**2 - 21*h + 33*h**2. Let l(i) = -11*a(i) + 2*t(i). Solve l(f) = 0.
0, 1, 12
Let m(k) = 151*k + 910. Let s be m(-6). Let c(b) be the second derivative of 3/14*b**2 - 1/21*b**3 + 2*b + 0 - 1/84*b**s. Factor c(v).
-(v - 1)*(v + 3)/7
Solve 134*g + 38*g**2 - 123*g**3 + 25*g**4 - 267*g**3 - 79*g**2 + 15 + 257*g**2 = 0 for g.
-1/5, 1, 15
Let c(s) = 82*s + 30. Let w(q) = -q**2 + q. Suppose -n + 5 = u, -u + 9 + 4 = 3*n. Let y(k) = u*c(k) + 6*w(k). Suppose y(l) = 0. Calculate l.
-1/3, 15
Let d(m) = -m**3 + 215*