**3 - 7*f + 2*f**3.
-(f - 8)*(f - 1)*(2*f + 1)
Let q(m) be the second derivative of 3*m**5/5 + 1340*m**4/3 + 300158*m**3/3 + 198916*m**2 - 984*m. Factor q(d).
4*(d + 223)**2*(3*d + 2)
Let u be (-1)/(((-11)/8)/11). Let t be (-3)/((-84)/u) - 30/(-189). Solve t*j - 1/9*j**2 - 4/9 = 0 for j.
2
Let i(r) be the first derivative of -1/24*r**6 - 7/20*r**5 - 9/8*r**4 - 13/8*r**2 - 11/6*r**3 - 3/4*r - 82. Suppose i(y) = 0. What is y?
-3, -1
Find p, given that -15/2*p - 5/4*p**5 - 5/4*p**4 + 35/4*p**3 + 0 + 5/4*p**2 = 0.
-3, -1, 0, 1, 2
Let q(i) be the first derivative of -i**6/12 - 7*i**5/10 - 15*i**4/8 - 3*i**3/2 - 1957. What is v in q(v) = 0?
-3, -1, 0
Suppose 19*u + 42*u = 54*u + 14. Factor 268/11*w**3 - 256/11 + 1600/11*w - 1104/11*w**2 - u*w**4.
-2*(w - 4)**3*(11*w - 2)/11
Factor 6841*k**2 + 14518*k - 42483/2 + 1/2*k**4 - 118*k**3.
(k - 119)**2*(k - 1)*(k + 3)/2
Suppose 16*g - 83 = -51. Find a, given that -4*a - 4*a**2 - 14*a - a**g + 2*a**2 = 0.
-6, 0
Let j(a) = -4*a**4 + 12*a**3 - 10*a + 8. Let k(i) = -15*i - 29. Let z be k(-2). Let r(l) = -l**3 - l**2 - 1. Let h(v) = z*j(v) + 2*r(v). What is t in h(t) = 0?
-1, 1, 3/2
Find t such that -70 - 53*t**2 + 375*t**3 + 368*t**3 - 748*t**3 + 135*t - 7*t**2 = 0.
-14, 1
Suppose -12*c = -467 - 205. Let j = 3 + c. Factor 5*z**2 + 80*z + 18*z**2 - j*z**2 - 16.
-4*(z - 2)*(9*z - 2)
Let x(y) be the third derivative of 0 + 0*y - 1/1848*y**8 - 1/33*y**4 + 0*y**3 + 1/220*y**6 + 2/1155*y**7 + 307*y**2 - 2/165*y**5. Suppose x(w) = 0. What is w?
-1, 0, 2
Let b be (1 - -2)*2/2. Suppose 16*z = 29*z - 65. Factor -2*a**b - a**z + 4*a**3 + 0*a**5 + 2*a**5 - 3*a**4.
a**3*(a - 2)*(a - 1)
Let j = -132 + 87. Let k = j + 47. Factor -8*m + 0*m**2 - 6*m**k - 3*m**2 + 5*m**2.
-4*m*(m + 2)
Let t = -28975 - -86926/3. Let q be ((-18)/(-24))/(18/32). Determine z so that 5/3*z**2 - t + q*z = 0.
-1, 1/5
Let l(m) be the second derivative of m**5/50 + m**4/10 - 26*m**3/3 - 264*m**2/5 + 111*m + 7. Solve l(c) = 0.
-12, -2, 11
Let h(q) = 28*q**2 - 43*q - 546. Let w(o) = 625*o**2 - 945*o - 12010. Let u(v) = 45*h(v) - 2*w(v). Suppose u(y) = 0. What is y?
-11/2, 10
Let u(i) = -10*i**2 + 88*i - 147. Let p(j) = 10*j**2 - 87*j + 148. Let k(x) = -3*p(x) - 2*u(x). Find o such that k(o) = 0.
5/2, 6
Let n(k) = -8*k + 178. Let w be n(22). Determine d so that -209*d - 193*d - 7220 - 5*d**w + 22*d = 0.
-38
Let h(b) be the first derivative of -2*b**3/3 + 86*b**2 - 656*b + 1701. Determine i so that h(i) = 0.
4, 82
Let l = 3985/17 - 23893/102. Factor -1/6 + 1/6*g**2 + l*g - 1/6*g**3.
-(g - 1)**2*(g + 1)/6
Let i(b) = 36*b**3 - 132*b**2 - 328*b - 224. Let t(j) = -34*j**3 + 131*j**2 + 331*j + 226. Let f(h) = -15*i(h) - 16*t(h). Factor f(c).
4*(c - 32)*(c + 1)*(c + 2)
Let k(r) be the third derivative of -r**6/96 + 7*r**5/48 + 425*r**4/96 - 455*r**3/24 - 2421*r**2. Factor k(m).
-5*(m - 13)*(m - 1)*(m + 7)/4
Let q be (12/(-5))/(-3)*5 - (-20 - -22). Factor -9*t**q - 15/2*t - 3/2*t**3 + 0.
-3*t*(t + 1)*(t + 5)/2
Let o be (15/1800)/(4/108*6). Let w(f) be the second derivative of o*f**5 - 25*f - 1/48*f**4 - 1/3*f**3 - 1/2*f**2 + 0. Factor w(r).
(r - 2)*(r + 1)*(3*r + 2)/4
Let n(s) = s**2 + 59*s + 528. Let h(z) = -2*z**2 - 117*z - 1008. Let w(v) = 3*h(v) + 5*n(v). Factor w(j).
-(j + 8)*(j + 48)
Let k(l) be the second derivative of -l**6/70 - 18*l**5/35 - 3*l**4/4 + 23*l**3/7 - 1813*l. Let k(m) = 0. What is m?
-23, -2, 0, 1
Let n(d) = 5*d**3 - 1496*d**2 + 2981*d - 1490. Let y(c) = 80*c**3 - 23935*c**2 + 47695*c - 23840. Let l(h) = -65*n(h) + 4*y(h). Solve l(v) = 0 for v.
1, 298
Let y(x) be the third derivative of x**6/780 + 77*x**5/65 + 307*x**4/52 + 460*x**3/39 + 147*x**2 - 9*x - 1. Factor y(z).
2*(z + 1)**2*(z + 460)/13
Let s(h) be the third derivative of -h**7/11340 + h**6/1620 - h**5/540 - h**4/6 + 5*h**3/3 + 21*h**2. Let b(r) be the second derivative of s(r). Factor b(d).
-2*(d - 1)**2/9
Let z(s) = -306*s + 6427. Let d be z(21). Let n(i) be the first derivative of -1/8*i**4 + 1/4*i**2 - d + 1/3*i - 1/18*i**3 - 1/30*i**5. Factor n(g).
-(g - 1)*(g + 1)**2*(g + 2)/6
Suppose -3*x + 2*o = -32, -5*x + 32 = -35*o + 37*o. Let -19*g**3 - 16*g**4 + 6 + x*g**2 - 4 - 2 - 9*g**3 = 0. What is g?
-2, 0, 1/4
Let y(p) be the first derivative of -p**6/540 + p**5/60 + 92*p**3/3 - 14. Let w(o) be the third derivative of y(o). Suppose w(c) = 0. Calculate c.
0, 3
Let g = -1515/7 - -217. Let o be ((-4)/3)/(7 - (-230)/(-30)). Let g*l + 0 - 2/7*l**o = 0. What is l?
0, 2
Let d = 405567 - 405565. Suppose -2916/7 - 4/7*t**d + 216/7*t = 0. What is t?
27
Let k(a) be the first derivative of -38/3*a**2 - 74/3*a - 2/9*a**3 - 136. Factor k(s).
-2*(s + 1)*(s + 37)/3
Let o be (1316/24)/(-47) - (-1444)/168. Determine t, given that -o - 4/7*t**2 - 8*t = 0.
-13, -1
Let g(q) = -q**2 - 3*q + 26. Let c be g(4). Let s(d) = 8*d**2 - 3*d - 3. Let b(r) = -32*r**2 + 12*r + 11. Let x(n) = c*b(n) - 9*s(n). Factor x(k).
-(k - 1)*(8*k + 5)
Let l(n) be the third derivative of 75*n**2 + 0*n**4 + 0 + 0*n + 0*n**5 + 1/280*n**6 + 0*n**3. Factor l(c).
3*c**3/7
Let r(m) be the first derivative of 0*m + 3/5*m**5 + 33 - 6*m**4 - 11*m**3 + 27*m**2. Factor r(g).
3*g*(g - 9)*(g - 1)*(g + 2)
Let f(z) be the first derivative of 5*z**3/3 + 35*z**2 + 225*z - 9645. Factor f(g).
5*(g + 5)*(g + 9)
Factor -12*l**2 - 17546*l**4 + 24*l**3 + 48 - 64*l + 9*l**3 + 17550*l**4 - 9*l**3.
4*(l - 1)**2*(l + 2)*(l + 6)
Factor 0*p - 1/3*p**4 - 620/3*p**3 + 0 - 96100/3*p**2.
-p**2*(p + 310)**2/3
Let k(l) be the second derivative of -l**5/45 + 13*l**4/36 + 13*l**3/54 - 5*l**2/3 + l + 42. Factor k(t).
-(t - 10)*(t + 1)*(4*t - 3)/9
Let c = -381 + 381. Suppose c = 11*r - 18*r + 14. Solve r - 2/3*j**2 - 4/3*j = 0 for j.
-3, 1
Let r(h) be the third derivative of 0 + 2/5*h**5 + 1/90*h**6 + 0*h + 6*h**4 - 25*h**2 + 13/6*h**3. Let q(k) be the first derivative of r(k). Factor q(o).
4*(o + 6)**2
Let w(m) be the first derivative of 11*m**6/3 + 28*m**5 + 1357*m**4/22 + 1808*m**3/33 + 212*m**2/11 + 32*m/11 - 241. Find s, given that w(s) = 0.
-4, -1, -2/11
Suppose 4*d = 5*g - 230, g = -g + 3*d + 99. Let i = -40 + g. Factor 5*j**5 - 10*j**4 - 5*j - 4*j**2 + 11*j**i + 3*j**2.
5*j*(j - 1)**3*(j + 1)
Factor -3/7*y**5 + 0*y + 0 + 48/7*y**2 + 24/7*y**4 - 60/7*y**3.
-3*y**2*(y - 4)*(y - 2)**2/7
Suppose -16*p + 201 + 423 = 0. Let w be (-90)/72 + p/28. Determine q, given that -6/7*q + 5/7 + w*q**2 = 0.
1, 5
Let o(p) be the first derivative of -6*p**3 - 21/10*p**5 + 0*p + 0*p**2 - 1/4*p**6 - 6*p**4 + 53. Factor o(h).
-3*h**2*(h + 2)**2*(h + 3)/2
Let a(k) be the first derivative of k**5/5 + 21*k**4/4 - 9*k**3 - 113*k**2/2 - 66*k + 19. Let a(q) = 0. What is q?
-22, -1, 3
Let d(u) be the third derivative of 8*u**2 + 0*u - 11/30*u**6 + 3/35*u**7 + 2/9*u**4 + 0*u**3 + 2/9*u**5 - 1. Let d(j) = 0. Calculate j.
-2/9, 0, 2/3, 2
Suppose -3*u - 30 = 3*z, -u - 3*z - 42 = 4*u. Let h(d) = -d**2 + 764*d + 29639. Let s(p) = 2*p**2 - 2293*p - 88918. Let l(w) = u*s(w) - 17*h(w). Solve l(x) = 0.
-77
Let i(w) = -2*w**2 - 7*w - 1. Let l(d) = -3*d**2 + 144*d + 21. Let v(n) = -9*i(n) - l(n). Factor v(u).
3*(u - 4)*(7*u + 1)
Let z(p) be the first derivative of 6*p**5/5 - 111*p**4/4 + 211*p**3 - 1005*p**2/2 - 675*p + 2009. Factor z(w).
3*(w - 9)*(w - 5)**2*(2*w + 1)
Let a = -141 - -112. Let x = a + 29. Factor 0*g + 0*g**2 + 0 + x*g**3 + 2/13*g**4.
2*g**4/13
Let k(t) be the second derivative of -t**6/75 + 3*t**5/100 + 7*t**4/10 + 34*t**3/15 + 12*t**2/5 + t - 127. Let k(i) = 0. What is i?
-2, -1/2, 6
Factor 5*p**3 + 259*p**2 + 590 + 534*p**2 - 1645*p + 100*p**2 - 78*p**2 + 235.
5*(p - 1)**2*(p + 165)
Factor -224*c + 88/3*c**2 + 3968/9 - 2/9*c**3.
-2*(c - 124)*(c - 4)**2/9
Find d, given that 333/5*d**2 + 0*d - 6/5*d**3 + 0 = 0.
0, 111/2
Factor 144561*t - 1317 - 1335 - 144537*t + 3*t**2.
3*(t - 26)*(t + 34)
Let r(a) = -81*a**4 - 57*a**3 + 3*a**2 - 18*a. Let v(g) = 40*g**4 + 29*g**3 - 2*g**2 + 10*g. Let i(l) = -5*r(l) - 9*v(l). Factor i(c).
3*c**2*(3*c + 1)*(5*c + 1)
Let w be ((-9009)/3432)/((-28)/16). Solve w*v**2 - 1/4*v**3 - 3*v + 2 = 0.
2
Let f be ((-2668)/(-8280) + (-4)/18)/2. Let t(x) be the third derivative of 0*x**3 + 1/8*x**4 + 0 + f*x**5 + 3*x**2 + 0*x. Let t(n) = 0. What is n?
-1, 0
Let c be (25/(-270))/((-12)/207). Let q = c - 11/9. Factor 0 - 3/8*g**4 + 0*g**2 - q*g**3 + 0*g.
-3*g**