/3*m**3.
-m*(m - 1)**2*(3*m - 1)/3
Factor -16/3*q + 22 - 2/3*q**2.
-2*(q - 3)*(q + 11)/3
Let q(y) be the third derivative of -y**9/70560 - y**8/17640 + y**7/4410 - 11*y**5/60 - 9*y**2. Let s(h) be the third derivative of q(h). Factor s(p).
-2*p*(p + 2)*(3*p - 2)/7
Let d be ((-2)/4 - 0) + (-15)/(-6). Find p, given that 0*p**2 - 3*p**3 - 6*p**d - 8 - p**3 - 20*p - 10*p**2 = 0.
-2, -1
Factor -52/7*k**3 + 48/7*k**2 + 4/7*k**4 + 0 + 0*k.
4*k**2*(k - 12)*(k - 1)/7
Let w(v) = 10*v**3 + 57*v**2 - 269*v + 353. Let a(h) = 8*h**3 + 58*h**2 - 270*h + 354. Let r(x) = 7*a(x) - 6*w(x). Factor r(g).
-4*(g - 10)*(g - 3)**2
Let j(s) be the first derivative of -39 - 1/6*s**6 + 1/3*s**3 + 0*s - s**2 + 3/4*s**4 - 1/5*s**5. Suppose j(a) = 0. Calculate a.
-2, -1, 0, 1
Let s(j) be the third derivative of 3*j**6/80 - 13*j**5/200 + 11*j**4/240 - j**3/60 - 81*j**2. Factor s(p).
(3*p - 1)**2*(5*p - 1)/10
Suppose 26/5*p**4 + 72/5 + 24/5*p + 14/5*p**3 - 26*p**2 - 6/5*p**5 = 0. Calculate p.
-2, -2/3, 1, 3
Let v(y) be the first derivative of -y**6/2 - y**5 + y**4 + 4*y**3/3 - 93. Find d such that v(d) = 0.
-2, -2/3, 0, 1
Factor -31*f + 460*f**4 + 64*f**2 + 4*f**3 - 464*f**4 - 33*f.
-4*f*(f - 4)*(f - 1)*(f + 4)
Factor 0 - 9/7*m + 6/7*m**2 + 3/7*m**3.
3*m*(m - 1)*(m + 3)/7
Let v be (12 + -6)/((-1)/(-2)). Let a = -7 + v. Find y such that 4*y**3 + 3*y**2 - a*y**2 + 3*y - 2*y - 3*y**3 = 0.
0, 1
Let o = 82 + -12. Let c be o/21 + 4/6. Factor 2*b**4 + c*b**3 - 2*b**5 - 2*b + 0*b - 2*b**4.
-2*b*(b - 1)**2*(b + 1)**2
Let i(r) be the second derivative of -3*r**8/3920 - r**7/490 - r**6/840 + 11*r**3/6 - 8*r. Let v(k) be the second derivative of i(k). Solve v(u) = 0.
-1, -1/3, 0
Let a(r) be the first derivative of 4*r**3 + 25*r**2 + 8*r + 47. Factor a(g).
2*(g + 4)*(6*g + 1)
Let u(f) = -f**2 - 4*f + 9. Suppose z - g + 70 = 5*z, 0 = 5*z + g - 88. Let c(b) = b**2 - 4*b + 8*b - z + 3*b. Let j(x) = 2*c(x) + 5*u(x). Factor j(p).
-3*(p - 1)*(p + 3)
Factor -1/5*b - 1/5*b**4 + 1/5*b**3 + 1/5*b**2 + 0.
-b*(b - 1)**2*(b + 1)/5
Let s(c) = -4*c**2 + 2*c + 18. Let y(g) = -4*g**2 + g + 19. Let f(a) = a + 7. Let j be f(-1). Let n(v) = j*y(v) - 5*s(v). Factor n(b).
-4*(b - 2)*(b + 3)
Factor -18*p + 23*p**3 + 222 + 231 + 4*p**2 + 231 - 5*p**3 - 688.
2*(p - 1)*(p + 1)*(9*p + 2)
Let n be (65/(-25) + 2)*16/6 - -2. Let 2*y**2 + 16/5*y + n*y**3 + 8/5 = 0. Calculate y.
-2, -1
Suppose -p + 7 = 3*p - 3*t, -2*t + 1 = 3*p. Let k be (-21 - -20)*(p + -4). Factor -3*h**k + 0*h + 0 - 15/2*h**5 + 21/2*h**4 + 0*h**2.
-3*h**3*(h - 1)*(5*h - 2)/2
Suppose -3*n = 5*o + 485, 0*o = 2*o + 5*n + 175. Let q be (-24)/o*(-5)/(-3). Find u such that 0 + 4/5*u + q*u**2 = 0.
-2, 0
Let b(f) be the second derivative of -5*f + 0 - 10*f**2 - 5/12*f**4 + 10/3*f**3. Factor b(s).
-5*(s - 2)**2
Let d(k) be the second derivative of 2*k**7/21 - 13*k**6/45 + k**5/5 - 249*k. Solve d(b) = 0.
0, 2/3, 3/2
Let t be -2*((-6)/(-2) - (-7)/(-14)). Let b be t/1 + 2/(90/243). Factor -2/5 + 4/5*d**2 - 2/5*d - b*d**5 - 2/5*d**4 + 4/5*d**3.
-2*(d - 1)**2*(d + 1)**3/5
Let p be (-3)/(-12) - (4 + -4). Let o(s) be the second derivative of 1/24*s**4 - p*s**2 + 0 + 2*s + 1/24*s**3 - 1/80*s**5. Solve o(l) = 0.
-1, 1, 2
Let a(t) be the second derivative of -t**7/420 + t**6/120 - t**4/24 + t**3/12 - 7*t**2/2 - 5*t. Let m(y) be the first derivative of a(y). Factor m(n).
-(n - 1)**3*(n + 1)/2
Suppose 12*n - 60 = -0*n. Suppose 5 = n*b + 2*g, 5*b + 4*g + 1 = -4. Determine a so that 0 + 4/3*a**5 - 8/3*a**b + 0*a**2 + 4/3*a + 0*a**4 = 0.
-1, 0, 1
Let u(w) be the first derivative of -w**6/36 + w**5/30 + w**4/12 - w**3/9 - w**2/12 + w/6 + 89. Solve u(n) = 0.
-1, 1
Let q(g) be the third derivative of 0*g + 20*g**2 + 5*g**4 - 6/5*g**5 - 1/60*g**6 - 16/3*g**3 + 0 + 1/35*g**7. Solve q(d) = 0.
-4, 1/3, 2
Let u(n) be the first derivative of 3*n**5/20 + 9*n**4/16 + 3*n**3/4 + 3*n**2/8 + 26. Let u(s) = 0. What is s?
-1, 0
Let f be (9 + -8)/((4/14)/2). Factor -16*g**2 + 28*g - 52*g**3 + 30*g**4 - f*g**5 + 7*g**4 + 36*g - 16.
-(g - 2)**3*(g + 1)*(7*g - 2)
Let b(t) = 3*t**3 - t**2 - t - 1. Let c(z) = 2*z**3 - 58*z**2 + 58*z - 2. Let n(v) = -2*b(v) + c(v). Solve n(u) = 0.
-15, 0, 1
Let o be ((-3)/(-4))/(280/(-32) - -9). What is g in -27*g**2 + 45*g - 17 + 5 - 9 + o*g**3 = 0?
1, 7
Find j such that 8/5 + 2/5*j**2 - 2*j = 0.
1, 4
Let k be -3*(2 + -3 + 0). Determine r, given that 9*r + 3 + 0*r - 3 + r**k - 6*r**2 = 0.
0, 3
Let x(w) = -w**3 - 23*w**2 + 16*w - 190. Let y be x(-24). Factor 0*k**y + 2/9*k**4 + 0*k + 2/9*k**3 + 0.
2*k**3*(k + 1)/9
Suppose 60 = -0*s + 20*s. Let c(d) be the first derivative of -3/5*d**5 + 0*d**3 - 3 + 3/2*d**4 - s*d**2 + 3*d. Factor c(l).
-3*(l - 1)**3*(l + 1)
Let p(s) be the second derivative of s**4/60 + 4*s**3/15 + 8*s**2/5 + 69*s. Factor p(q).
(q + 4)**2/5
Let b(q) be the first derivative of 3/20*q**5 - 21/16*q**4 - 51/8*q**2 + 17/4*q**3 + 36 + 9/2*q. Solve b(x) = 0.
1, 2, 3
Determine j so that -281*j + 32 + 4*j**2 - 272*j - 314*j + 903*j = 0.
-8, -1
Let s(g) = -2188*g**3 - 729*g**2 - 80*g - 2. Let k(t) = -t**3 + t + 1. Let r(b) = k(b) - s(b). Factor r(o).
3*(9*o + 1)**3
Let h(g) be the second derivative of -7*g**5/20 + g**4/4 - 3*g - 31. Suppose h(w) = 0. What is w?
0, 3/7
Let u = 95483 - 481279/5. Let r = u - -776. Determine i, given that -4/5*i**2 + r*i - 16/5 = 0.
2
Let d(h) be the first derivative of 1/12*h**4 + 8/3*h + 1/9*h**3 + 25 - 5/3*h**2. Factor d(o).
(o - 2)*(o - 1)*(o + 4)/3
Let q(g) = g**3 + 37*g**2 + 103*g + 36. Let c be q(-34). Find u such that -1/3*u**3 + 0 + u**c - 2/3*u = 0.
0, 1, 2
Let o(u) be the third derivative of u**7/525 + u**6/50 + 13*u**5/150 + u**4/5 + 4*u**3/15 + 9*u**2 + 5. Factor o(j).
2*(j + 1)**2*(j + 2)**2/5
Let g(p) be the third derivative of -p**3 + 3/20*p**5 + 13*p**2 + 0 - 5/8*p**4 + 0*p. Factor g(t).
3*(t - 2)*(3*t + 1)
Let o(z) = 2*z**3 - 8*z**2 + 4*z - 14. Let i be o(4). Let c(y) be the second derivative of 0 + 0*y**i - 2/3*y**3 - 1/6*y**4 - 4*y. Factor c(b).
-2*b*(b + 2)
Let b(x) be the first derivative of 3*x**4/4 - x**3 - 9*x**2 - 388. Solve b(v) = 0 for v.
-2, 0, 3
Suppose s + 17 = 4*z, 5*z + 2 = 3*s + 25. Determine i so that 11*i**5 - 8 + 8 - 10 + 14*i**5 - 20*i**3 - 40*i**z + 50*i**2 - 5*i = 0.
-1, -2/5, 1
Let j(x) = 3*x - 2*x**2 - 3*x + 6*x - 2*x - 4. Let v(k) = k. Let z(h) = -j(h) - 2*v(h). Suppose z(g) = 0. What is g?
1, 2
Let d(n) = 10*n**3 + 326*n**2 + 3280*n + 798. Let h(v) = 21*v**3 + 654*v**2 + 6560*v + 1595. Let y(t) = 5*d(t) - 2*h(t). Factor y(w).
2*(w + 20)**2*(4*w + 1)
Find r, given that 63/8*r - 15/8 - 3/2*r**2 = 0.
1/4, 5
What is v in 1/8*v + 1/2*v**2 - 5/8 = 0?
-5/4, 1
Let g(h) = 4*h**2 + 229*h - 411. Let k be g(-59). Solve -1/2*w - 1/4 - 1/4*w**k = 0.
-1
Let f = 14838 + -29673/2. Determine n so that f*n + 3/4*n**2 + 3/4 = 0.
-1
Let y = 28 - 26. Suppose 0 = -3*v + 2*c + 1, y*c - 16 = -2*c. Find u, given that 28*u - 21*u**v + 6 + u**2 - 4*u**2 - 13*u - 3*u**4 + 6*u**5 = 0.
-1, -1/2, 1, 2
Let z be 6/(-27) + 26/117. Let m = 8/5 - 11/10. Suppose -1/2*a**3 + z + m*a**2 + a = 0. What is a?
-1, 0, 2
Let o be 5 + (5 - 336/34) - 4/34. Factor 0*b + 21*b**4 + 3/2*b**2 + 45/4*b**3 + o.
3*b**2*(4*b + 1)*(7*b + 2)/4
Let z = -766 - -770. Let q(w) be the third derivative of 0 + 0*w + 9/56*w**z + w**2 + 11/140*w**5 - 1/7*w**3. Solve q(s) = 0.
-1, 2/11
Let s(o) be the third derivative of 16/33*o**3 + 11*o**2 - 2/11*o**4 + 1/110*o**6 + 0*o + 3 + 1/1155*o**7 + 1/330*o**5. Factor s(h).
2*(h - 1)**2*(h + 4)**2/11
Let x(p) be the first derivative of 12*p + p**3 + 15/2*p**2 - 7. Determine q, given that x(q) = 0.
-4, -1
Suppose -2*o = q - 52, 152 = 5*o + 3*q - 6*q. Let y be (6 + 26/(-5))*10/o. Determine u, given that y - 32/7*u**4 + 30/7*u**2 + 16/7*u**3 - 16/7*u = 0.
-1, 1/4, 1
Let m(o) be the third derivative of 1/48*o**6 + 0*o**4 - 1/60*o**5 + 0*o + 0 + 0*o**3 + 1/60*o**7 - 30*o**2. Suppose m(k) = 0. Calculate k.
-1, 0, 2/7
Let r(b) = b + 4. Let o be r(-1). Let -6*f - 4*f**4 + f - 9*f**o + 2*f - 9*f**2 + f**4 = 0. What is f?
-1, 0
Factor 3/8*t**2 + 21/8*t + 0.
3*t*(t + 7)/8
Let w = -27 - -1322/49. Let j = w + 101/147. Factor -2/3*k**2 + j*k**4 + 0*k + 0 + 0*k**3.
2*k**2*(k - 1)*(k + 1)/3
Factor -476*c**4 + 530*c**3 - 640*c - 224*c - 74*c**4 - 250*c**5 + 774*c**2 + 68 + 148.
-2*(c + 2)**2*(5*c - 3)**3
Find k, given t