 + 1/4*c**3 - 39/2*c**2.
(c - 26)**3/4
Let q(o) be the third derivative of 5*o**2 - 1/105*o**7 + 0*o - 1/6*o**4 + 2/15*o**5 - 1/40*o**6 + 1/336*o**8 + 0 + 0*o**3. Factor q(t).
t*(t - 2)*(t - 1)**2*(t + 2)
Factor -24354615/4*i + 359991/4*i**2 - 1797/4*i**3 + 23641797/2 + 3/4*i**4.
3*(i - 199)**3*(i - 2)/4
Suppose 5*l + 10 - 25 = 0. Suppose -2*g = -2*z - 0 - 10, 0 = -5*g - l*z + 1. Factor 180 + 19*r + 5*r**g + 8*r + 33*r.
5*(r + 6)**2
Suppose -49715 = -u + 45778. What is m in 5*m**5 + 30*m + 95458*m**3 + 78*m**2 - 23*m**2 - 40 - u*m**3 - 15*m**4 = 0?
-2, -1, 1, 4
Let x be -5 - (-26)/8*4. Find u such that -2*u**5 + 616*u**2 + x*u - 10*u**3 + 4*u**5 - 616*u**2 = 0.
-2, -1, 0, 1, 2
Suppose -z = -z + 2*z. Let r(b) be the second derivative of 29*b + 3/20*b**5 + 0 + z*b**2 - 2*b**4 + 8*b**3. Suppose r(a) = 0. Calculate a.
0, 4
Let k(o) be the second derivative of 0*o**2 - 21*o - 1/2*o**6 - 1 + 5/4*o**5 - 5/12*o**4 - 5/6*o**3. Factor k(r).
-5*r*(r - 1)**2*(3*r + 1)
Let x(d) = 6*d**3 - 1016*d**2 - 37834*d - 337903. Let t(a) = 4*a**3 - 508*a**2 - 18916*a - 168952. Let s(z) = -7*t(z) + 4*x(z). Factor s(n).
-4*(n + 13)*(n + 57)**2
Let b(v) be the third derivative of 2*v**7/105 + 2*v**6/15 - 17*v**5/15 - 4*v**4 + 24*v**3 + 1315*v**2. Determine m so that b(m) = 0.
-6, -2, 1, 3
Let x(p) be the first derivative of -2*p**5/65 - p**4/26 + 16*p**3/39 + 12*p**2/13 - 996. Factor x(z).
-2*z*(z - 3)*(z + 2)**2/13
Factor 0 + 334/11*h - 2/11*h**2.
-2*h*(h - 167)/11
Let l = 1694 - 1691. Suppose 20 = 2*y - 3*k, 0 = 10*y - 11*y - k. Factor -2/5*n**l + 5 + 13*n - 7/5*n**y + 1/5*n**5 + 46/5*n**2.
(n - 5)**2*(n + 1)**3/5
Factor -6/7 - 15/7*s**2 - 3*s.
-3*(s + 1)*(5*s + 2)/7
Let c = 1189 + -1189. Let s(a) be the second derivative of 1/12*a**4 + c - 1/100*a**5 + 5*a - 4/15*a**3 + 2/5*a**2. Suppose s(p) = 0. Calculate p.
1, 2
Let p(z) be the second derivative of z**7/84 + 13*z**6/60 + 29*z**5/20 + 11*z**4/3 - 8*z**3/3 - 32*z**2 + 113*z - 5. Find m, given that p(m) = 0.
-4, -2, 1
Let 174*q - 3382*q**2 - 455*q + 3383*q**2 = 0. Calculate q.
0, 281
Let b(q) be the first derivative of q**7/1155 + q**6/330 + q**5/330 + 7*q**2/2 + 5*q - 34. Let x(c) be the second derivative of b(c). Let x(l) = 0. What is l?
-1, 0
Let b(z) be the second derivative of -z**6/105 + 162*z**5/35 - 13283*z**4/21 + 2484*z**3 - 3703*z**2 + 3647*z. Factor b(k).
-2*(k - 161)**2*(k - 1)**2/7
Let w(h) = -h**5 + h**4 - h**3 - h. Let a(l) = 3*l**5 - 2 - l**4 + 3*l - 2*l**2 + 0*l**2 + 3. Let y = -4468 - -4469. Let j(x) = y*a(x) + 2*w(x). Solve j(i) = 0.
-1, 1
Let h(m) be the second derivative of -m**5/10 + m**4/2 + 4*m**3/3 - 12*m**2 - 1334*m. Solve h(d) = 0.
-2, 2, 3
Factor -88*c**3 + 522 - 504 + 11*c**4 - c - 64*c + 9*c**3 - 173*c**2.
(c - 9)*(c + 1)**2*(11*c - 2)
Let a(v) = 4*v**3 + 96*v**2 - 264*v + 136. Let b(n) = -n**3 - 19*n**2 + 53*n - 27. Let z = 182 - 177. Let u(l) = z*a(l) + 24*b(l). Factor u(g).
-4*(g - 2)**3
Suppose 9*d + 27 = 63. Determine f, given that f**3 + f**d - 1031*f**2 + 3*f**3 + 1035*f**2 = 0.
-2, 0
Let d be ((1922/4)/(-1))/(627/(-418)). Find j, given that 128/3*j - 1085/3*j**2 + d*j**3 - 4/3 = 0.
2/31, 1
Let m be -6*((-270)/24 - -11). Let d(h) be the second derivative of m*h**4 + 0 + h + 18*h**3 + 108*h**2 + 1/20*h**5. Find r such that d(r) = 0.
-6
Let i(h) = 10*h**3 - 25*h**2 - 5. Let n(s) = -5*s**3 + 13*s**2 + 3. Let w = -3 - 0. Let l be (-5)/(2/8*4). Let j(k) = l*n(k) + w*i(k). Solve j(b) = 0 for b.
0, 2
Let x(n) = n**3 + 87*n**2 - 88*n + 3. Let g be x(-88). Let b(l) be the second derivative of 1/6*l**4 - 4*l**2 + l**g - 3*l + 0. Factor b(d).
2*(d - 1)*(d + 4)
Let g be 3/(-7) + 30/70. Suppose -48*r + 43*r + 55 = g. Factor -3*c - 8*c**3 + r*c**3 + 0*c**3 + 6*c**2 - 6*c**3.
-3*c*(c - 1)**2
Find k, given that -3*k**3 + 28360*k**2 - 56750*k**2 - 2347 + 1440*k - 1916 + 28351*k**2 + 1563 = 0.
-30, 2, 15
Let q(k) be the second derivative of 16 - k - 11/6*k**3 + 0*k**2 + 1/12*k**4. Find c, given that q(c) = 0.
0, 11
Let m = 26349/105908 + 32/26477. Find q such that -1/4*q + 1/4 - 1/4*q**2 + m*q**3 = 0.
-1, 1
Let k(b) be the second derivative of b**6/15 + 44*b**5/45 + 133*b**4/54 + 38*b**3/27 - 16*b**2/9 - 3910*b. What is p in k(p) = 0?
-8, -1, 2/9
Factor 104*q**2 - 50*q**2 - 50*q**2 + 228484 - 1912*q.
4*(q - 239)**2
Suppose 5*a - 1228 + 283 = 0. Let i(j) = -j**3 - 8*j**2 + 3*j - 46. Let h be i(-9). Solve -h*f - a*f**3 - 54*f**2 - 42*f**2 - 5*f + f = 0.
-2/7, -2/9, 0
Factor 0*m - 3/4*m**3 - 5/8*m**2 - 1/8*m**4 + 0.
-m**2*(m + 1)*(m + 5)/8
Let s be 20 - -24*(-1276)/1584. Factor 0 + s*v + v**3 + 4/3*v**4 - 3*v**2.
v*(v - 1)*(v + 2)*(4*v - 1)/3
Let o(j) = 2. Let q(w) = 3*w**2 + 26*w - 87. Let l(b) = -3*o(b) - q(b). Let t(h) = -h**2 - 2*h. Let c(z) = l(z) - 4*t(z). Find g such that c(g) = 0.
9
Suppose -13*o - 13230 = -23*o. Let w be -8 + o/99 + -5. Find v, given that -4/11*v**2 + 6/11*v - w*v**3 + 6/11*v**4 - 2/11 - 2/11*v**5 = 0.
-1, 1
Let p be 12/(-1)*(-9 - (-39)/9). Factor -3*l**5 - 7*l + 18*l**3 + 16*l - p*l**2 + 32*l**2.
-3*l*(l - 1)**3*(l + 3)
Let f(u) = -u**3 - u**2 + u - 1. Let v(s) be the first derivative of -3*s**4/4 + 32*s**3/3 - 17*s**2/2 - 48*s + 144. Let i(h) = 2*f(h) + v(h). Factor i(m).
-5*(m - 5)*(m - 2)*(m + 1)
Let k(f) be the second derivative of -7/3*f**4 - 1/5*f**5 - 35*f - 2 - 16/3*f**3 + 32*f**2. Factor k(i).
-4*(i - 1)*(i + 4)**2
Let y(q) be the first derivative of -q**4/8 - 13*q**3/2 - 37*q**2/2 + 3716. Determine s, given that y(s) = 0.
-37, -2, 0
Suppose 3*a - 178 = 5*p - 6*p, 168 = 3*a + 3*p. Factor -9*f - 30*f - a*f**2 + 32*f**2 + 32*f**2.
3*f*(f - 13)
Let y(p) = p**3 + 8*p**2 - 4*p + 49. Let m be y(-9). Let f(s) be the first derivative of 1/20*s**2 + 0*s + 1/6*s**3 + 2 + 1/10*s**m. Let f(r) = 0. What is r?
-1, -1/4, 0
Let t(p) = -p**3 + 3*p + 3. Let q be t(0). Factor -40*x**2 - 143*x**3 - 5*x**5 - 142*x**3 - 30*x**4 + 225*x**q.
-5*x**2*(x + 2)**3
Let w(k) be the third derivative of -9/2*k**3 - 28*k**2 + 0*k**5 - 1/180*k**6 + 0*k + 0 + 0*k**4. Let r(s) be the first derivative of w(s). Factor r(h).
-2*h**2
Let g = -11790 + 11794. Let o(i) be the second derivative of 0 + 7*i + 1/6*i**g + 0*i**2 + 4/3*i**3. Factor o(z).
2*z*(z + 4)
Let d(y) be the second derivative of y**4/4 - 299*y**3/2 + 447*y**2 + y + 17. What is z in d(z) = 0?
1, 298
Let v(q) = -q**3 + 1484 - q - 1483 + 2*q**2 + 2*q + q**4. Let p(j) = 8*j**4 + 17*j**3 - 19*j**2 + 3*j + 3. Let u(l) = p(l) - 3*v(l). Factor u(a).
5*a**2*(a - 1)*(a + 5)
Let d(o) = -7*o**3 - 18*o**2 + 4*o + 33. Let p(a) = 15*a**3 + 37*a**2 - 10*a - 62. Let i(b) = -5*d(b) - 3*p(b). Factor i(t).
-(t - 1)*(t + 1)*(10*t + 21)
Let b be (-2353)/(-12670) - ((-2)/(-3) + (-148)/168). Suppose b*p**2 + 28/5 + 6*p = 0. Calculate p.
-14, -1
Suppose 3*n - 338 = n + 5*w, -3*w + 814 = 5*n. Determine u, given that -3*u - 24 - n*u**2 - 15*u + 161*u**2 = 0.
-4, -2
Find f, given that 52*f**2 + 436*f - 12*f**5 - 482*f - 1008*f**2 - 2400 - 364*f**3 + 140*f**4 + 4406*f = 0.
-3, 2/3, 4, 5
Let u(j) = -j**2 - 112*j + 2948. Let p be u(22). Factor 0*h - 1/2*h**3 + 3/4*h**2 + p - 1/4*h**4.
-h**2*(h - 1)*(h + 3)/4
Let x(g) be the first derivative of -2*g**5/65 - 2*g**4/13 + 32*g**3/13 - 112*g**2/13 + 160*g/13 + 3178. Factor x(m).
-2*(m - 2)**3*(m + 10)/13
Let z(o) = 2*o**3 - 40*o**2 + 2*o - 14. Let j be z(20). Factor 5*h**2 - 6*h**2 + 21*h**2 - 5*h**3 - 106 + 20*h + j.
-5*(h - 4)*(h - 2)*(h + 2)
Let s(q) be the second derivative of -3 + 1/20*q**4 - 7/10*q**3 - 15*q + 0*q**2. Suppose s(d) = 0. Calculate d.
0, 7
Let s(w) = -2*w + w**3 + w**2 - 9 + w + 0*w**2 + 10. Let m(p) = 2*p**3 - 23*p**2 - 2*p + 17. Let y(k) = m(k) + 3*s(k). Factor y(v).
5*(v - 4)*(v - 1)*(v + 1)
Suppose 16*b = -b + 68. Determine v so that -v**2 - 5*v - 3*v + b*v = 0.
-4, 0
Let y(p) = -24033*p + 4. Let r be y(0). Determine o so that 10/3*o**2 - r*o + 0 + 2/3*o**3 = 0.
-6, 0, 1
Let i be (-16)/1680*12*2/(-32). Let w(d) be the third derivative of 0 - 25*d**2 + 1/14*d**4 + 0*d - 2/7*d**3 - i*d**5. Suppose w(c) = 0. Calculate c.
2
Let d be (-4)/(-16)*26*195/169. Let q(s) be the first derivative of -5/6*s**6 - 5/2*s**4 - 20/3*s**3 + 3 + 4*s**5 + d*s**2 + 0*s. Find t, given that q(t) = 0.
-1, 0, 1, 3
Suppose -649 + 99 = -25*b. Solve -126*a**3 + b*a**2 - 4*a**4 + 37*a**3 + 53*a**3 - 10*a**2 + 100*a - 72 = 0.
-