 4*u**3.
4*u**2*(u - 1)*(u + 1)**2
Let n(i) = -11*i**2 - 13*i - 32. Let o(v) = 8*v**2 + 14*v + 32. Let d(k) = -4*n(k) - 6*o(k). Let d(j) = 0. What is j?
-4
Let f(r) be the third derivative of -r**7/1785 + 2*r**5/255 + 164*r**2. Find m such that f(m) = 0.
-2, 0, 2
Let z(a) be the third derivative of 1/40*a**6 + 1/4*a**4 + 0*a - 10*a**2 + 0*a**3 + 3/20*a**5 + 0. What is y in z(y) = 0?
-2, -1, 0
Let m(c) be the third derivative of c**7/15120 + 35*c**4/24 - 2*c**2. Let r(t) be the second derivative of m(t). Find y, given that r(y) = 0.
0
Factor -31 + 102*v - 87 - v**2 + 17*v - 26*v**2 + 26*v**2.
-(v - 118)*(v - 1)
Let i be (4 - 81/18) + (-753)/(-2). Let g = -4880/13 + i. Factor -g*n**2 + 0 + 0*n + 40/13*n**3 - 50/13*n**4.
-2*n**2*(5*n - 2)**2/13
Let l(u) be the third derivative of 5*u**8/336 + u**7/42 - 5*u**6/24 - 5*u**5/12 + 5*u**4/6 + 10*u**3/3 + 2*u**2 - 28. Let l(k) = 0. Calculate k.
-2, -1, 1, 2
Let k be 0 + (3 - 0/4). Factor -v**2 - 13*v**3 + k*v**2 + 11*v**3 - v + 5*v**3.
v*(v + 1)*(3*v - 1)
Let x(k) be the third derivative of -k**6/40 - 77*k**5/40 - 7*k**4 - 37*k**3/4 - 186*k**2 + 3*k. Determine q so that x(q) = 0.
-37, -1, -1/2
Factor -9/5*s + 0 - 6/5*s**3 - 3*s**2.
-3*s*(s + 1)*(2*s + 3)/5
Let g(v) = 24*v**3 + 564*v**2 + 26508*v + 415282. Let b(w) = 2*w**3 - 1. Let i(y) = -10*b(y) + g(y). Find q such that i(q) = 0.
-47
Let d be 12/105*8/((-144)/(-45)). Let i(p) = -p**3 - p**2 + p + 3. Let w be i(0). Factor 2/7*g + 0*g**2 - d*g**w + 0.
-2*g*(g - 1)*(g + 1)/7
Let d(b) be the first derivative of -b**4/66 + b**3/11 + 5*b + 17. Let i(y) be the first derivative of d(y). Factor i(m).
-2*m*(m - 3)/11
Let g(z) be the first derivative of -z**8/168 + z**7/168 - 41*z**3/3 + 35. Let r(d) be the third derivative of g(d). Let r(c) = 0. What is c?
0, 1/2
Suppose 42*g - 14*g = -6*g. Let m(t) be the third derivative of 0 - 1/36*t**3 - 1/360*t**5 + g*t - 1/72*t**4 + 5*t**2. Factor m(v).
-(v + 1)**2/6
Factor 0*z + 1/5*z**3 - 1/5*z**5 + 0*z**4 + 0*z**2 + 0.
-z**3*(z - 1)*(z + 1)/5
Factor 40 + 83492*t**2 + 4*t**3 + 29*t - 83484*t**2 - 81*t.
4*(t - 2)*(t - 1)*(t + 5)
Suppose 2*u = 5*u. Let h = 2 + u. Determine z, given that -3*z**3 - 6*z**h + 3*z + 3*z**4 - 3*z = 0.
-1, 0, 2
Let x be (17 - 7) + (-52)/10. Factor 0*d + x*d**2 + 0 + 6/5*d**5 + 0*d**3 - 18/5*d**4.
6*d**2*(d - 2)**2*(d + 1)/5
Let n = -93 - -58. Let y be (-7)/(-2)*(-40)/n. Determine q so that -2 - 2*q**2 + q + 10*q**2 - 8*q**y - 5*q**5 + 2*q**2 + 4*q**3 = 0.
-1, 2/5, 1
Let t(n) be the first derivative of 4*n**5 + 5*n**3 - 12*n**4 - 2*n**5 + 13 - 4*n**2 + 2*n**5 + 7*n**3. Factor t(u).
4*u*(u - 1)**2*(5*u - 2)
Let q = -9739/20 - -487. Let o(j) be the second derivative of -1/6*j**3 + q*j**5 + 0 - 7*j + 0*j**2 + 0*j**4. Factor o(c).
c*(c - 1)*(c + 1)
Let q(c) = 23 + 5*c + 4*c - 7*c - c. Let i be q(-14). Let -9*x**4 - 2*x**4 + 2*x**5 - 20*x - 1 + i + 17*x**3 + 2*x**2 = 0. Calculate x.
-1, 1/2, 2
Let c(z) = -z**3 + 27*z**2 + 2*z - 19. Let i be c(27). Suppose i - 23 = 4*d. Factor -2/13*b**d - 2/13 - 6/13*b - 6/13*b**2.
-2*(b + 1)**3/13
Factor -8 + 34 + 1 + z + 4*z**2 - 11 - 17*z.
4*(z - 2)**2
Let x(u) be the second derivative of 41*u + 0 - 9/2*u**2 - u**3 + 1/4*u**4. Factor x(t).
3*(t - 3)*(t + 1)
Let c(w) be the first derivative of -w**6/2 - 57*w**5/5 - 213*w**4/2 - 522*w**3 - 2835*w**2/2 - 2025*w - 166. Let c(v) = 0. What is v?
-5, -3
Let k(l) be the first derivative of -l**3/6 + 37*l**2/4 + 39*l - 559. Factor k(i).
-(i - 39)*(i + 2)/2
Let c(i) = 4*i + 6. Let a(l) = -l**3 - l**2 + 2*l + 1. Let q(m) = -2*a(m) - c(m). Solve q(o) = 0.
-2, -1, 2
Let b(t) be the first derivative of -t**5/30 + 19*t**4/24 - 25*t**3/9 + 8*t**2/3 + 196. Factor b(j).
-j*(j - 16)*(j - 2)*(j - 1)/6
Determine q so that -141/4*q**4 + 0 + 9/4*q**5 + 73*q**2 + 35/2*q**3 + 30*q = 0.
-2/3, 0, 2, 15
Let v(i) be the second derivative of -i**4/96 + i**3/6 + 9*i**2/16 - 81*i. Factor v(k).
-(k - 9)*(k + 1)/8
Suppose 15 - 3 = c - 3*l, -c + 7 = 2*l. Let v be ((-5)/(-15))/(1/c). Factor 16/9 + 2/9*n**v - 8/9*n - 4/9*n**2.
2*(n - 2)**2*(n + 2)/9
Let r(p) = 2242*p + 2242. Let u be r(-1). Solve 2*q + 1/3*q**4 + u + 2*q**3 + 11/3*q**2 = 0 for q.
-3, -2, -1, 0
Let f(p) be the second derivative of p**2 + 2/3*p**3 + 11*p + 0 + 1/6*p**4. Factor f(w).
2*(w + 1)**2
Let l(v) = v**4 + 44*v**3 + 42*v**2 - 49*v - 53. Let i(x) = -3*x**4 - 153*x**3 - 147*x**2 + 171*x + 186. Let s(y) = 5*i(y) + 18*l(y). Solve s(h) = 0.
-8, -1, 1
Let i be 15/5*4/(-6). Let n be (i - -2 - 3) + 6. Factor -5*x**2 - n*x + 3*x**2 - x.
-2*x*(x + 2)
Let m(h) be the first derivative of 0*h**2 - 4 + 43*h**3 - 12*h + 63/4*h**4. Factor m(j).
3*(j + 2)*(3*j + 1)*(7*j - 2)
Let q be 38/(-6) - -4 - (-11 - -8). Let o(i) be the first derivative of 2/9*i**2 - q*i**4 + 14/45*i**5 + 0*i + 2/9*i**3 + 11. Factor o(n).
2*n*(n - 1)**2*(7*n + 2)/9
Suppose -2*f + 18 = 4*f. Factor 2*q**2 + 3*q**f - q + 9*q**2 + 10*q + q**2.
3*q*(q + 1)*(q + 3)
Let f(a) be the third derivative of a**10/6480 - a**9/11340 + a**8/70560 + a**4/8 + 14*a**2. Let p(t) be the second derivative of f(t). Factor p(w).
2*w**3*(7*w - 1)**2/21
Let o(g) be the second derivative of 0 - 1/20*g**5 + 1/12*g**3 - 9*g + 0*g**2 + 7/48*g**4. Factor o(n).
-n*(n - 2)*(4*n + 1)/4
Let v(r) = r - 24. Let c be v(-9). Let f be 44/c*(-18)/8. Factor 8/7*l**f + 0*l**2 + 0*l**4 - 4/7*l**5 - 4/7*l + 0.
-4*l*(l - 1)**2*(l + 1)**2/7
Suppose -8*b + 9*b = 21. Suppose 4*m - 7 = 4*x - 39, -3*m = -2*x + b. What is o in 0 - 1/5*o**x + 2/5*o**2 - 1/5*o = 0?
0, 1
Let h be 962/(-1480)*(-10)/65. Determine k so that -3/10*k**2 + h*k + 1/5 = 0.
-2/3, 1
Let v(t) be the third derivative of -t**5/30 + 5*t**4/12 + 8*t**3 - 56*t**2. Find c such that v(c) = 0.
-3, 8
Factor 2/3*y + 0 + 4/3*y**2 + 2/3*y**3.
2*y*(y + 1)**2/3
Suppose 4*k - h = 152, -21*k = -22*k + 2*h + 38. Let b = k + -38. Factor 0 - 4/7*g**2 + b*g.
-4*g**2/7
Factor -6*a**4 - 76/3*a**3 + 0 - 16/3*a - 88/3*a**2.
-2*a*(a + 2)**2*(9*a + 2)/3
Suppose -4*f - 56 = 8. Let w be f/(-32) + 2/(-4). Find j such that w*j**3 - 3*j**2 + 5*j**3 + j**3 - 3*j**4 = 0.
0, 1
Let u be ((-8)/(-14))/(18/(-224)*-4). Let i(l) be the first derivative of -4/3*l + 8/3*l**2 + 8 - 4/9*l**6 - u*l**3 - 2/3*l**4 + 4/3*l**5. Solve i(q) = 0.
-1, 1/2, 1
Let v(c) be the first derivative of -2/9*c**2 + 2/27*c**3 + 8 + 0*c + 1/18*c**4. Factor v(z).
2*z*(z - 1)*(z + 2)/9
Let z(v) be the first derivative of 2*v**5/15 - 5*v**4/2 + 148*v**3/9 - 44*v**2 + 48*v + 73. What is l in z(l) = 0?
1, 2, 6
Solve 100/9*v + 98/9 + 2/9*v**2 = 0.
-49, -1
Let f = -344/4521 + 106/411. Suppose -2*m + f*m**5 + 0*m**2 + 20/11*m**3 - 12/11 + 12/11*m**4 = 0. What is m?
-3, -2, -1, 1
Let b(y) be the first derivative of -10*y**6/3 - 11*y**5 - 5*y**4/2 + 55*y**3/3 + 15*y**2 - 384. Suppose b(i) = 0. Calculate i.
-2, -1, -3/4, 0, 1
Factor -6*a - 68/11 + 2/11*a**2.
2*(a - 34)*(a + 1)/11
Let z(v) be the third derivative of 43*v**5/5 - v**4/3 - v**2 + 204. Factor z(c).
4*c*(129*c - 2)
Let t(b) be the first derivative of b**5/5 - b**4/2 - b**3 + 2*b**2 + 4*b - 261. Factor t(z).
(z - 2)**2*(z + 1)**2
Suppose 10*j + 7 = 27. Let v be -15*((-540)/(-125))/(-2). Factor -8/5 - v*k**j + 72/5*k.
-2*(9*k - 2)**2/5
Let a(y) be the second derivative of -y**2 - 25*y + 3/2*y**3 + 1/4*y**5 + 0 - y**4. Let a(g) = 0. What is g?
2/5, 1
Let m = -12/73 - -498/365. Let z(s) = -s**3 - s**2 + 56*s + 2. Let c be z(-8). Solve 0 + 2/5*d**3 - m*d**c + 4/5*d = 0 for d.
0, 1, 2
Let g(w) = 5*w**3 - 2 - 2 - 23*w - 16*w + 35*w - 4*w**4 - 3*w**5 - 10*w**2. Let j(c) = -c**4 - c**3 - c**2 - c - 1. Let x(s) = -g(s) + 4*j(s). Factor x(h).
3*h**2*(h - 1)**2*(h + 2)
Let n(y) be the first derivative of -y**5 + 3*y**4 + 59*y**3/3 + 15*y**2 - 104. Factor n(z).
-z*(z - 5)*(z + 2)*(5*z + 3)
Let k(a) = 19*a**2 + 19*a. Let x(l) = -9*l - 6. Let s be x(-5). Let q(m) = 3*m**2 + 3*m. Let w be (1/(-2))/(1/12). Let n(y) = s*q(y) + w*k(y). Factor n(t).
3*t*(t + 1)
Let n(l) be the second derivative of -l**7/6720 - l**6/2880 + 8*l**3/3 + 12*l. Let g(m) be the second derivative of n(m). Find q, given that g(q) = 0.
-1, 0
Suppose 12*s + 41658 = 109554. Factor 5655*h**2 - s*h**2 + 24 + 5*h + h.
-3*(h - 4)*(h + 2)
Let s(r) be the third derivative of -r**5/30 - 5*r**4/12 + 54*r**2. Let s(k) = 0. Calculate k.
-5, 0
Let g = -1213 - -2373/2. Let 