 + 2/3*m**3 - 16/3.
2*(m - 1)*(m + 2)*(m + 4)/3
Let z(r) be the second derivative of 10/9*r**3 + 13*r - 1/2*r**4 + 0 + 0*r**2 + 2/25*r**5 - 1/225*r**6. Factor z(d).
-2*d*(d - 5)**2*(d - 2)/15
Suppose -26*m + 28*m + 72 = 0. Let l = -31 - m. Solve 2*u**l + 8*u**4 - u**2 - 16*u**4 - 7*u**2 + 2*u + 12*u**3 = 0.
0, 1
Let h(p) = -5*p**2 - 43*p - 35. Let r(f) = 15*f**2 + 128*f + 105. Let z(d) = 8*h(d) + 3*r(d). Suppose z(i) = 0. What is i?
-7, -1
Solve 0 + 0*b - 1/4*b**4 + 11*b**3 - 121*b**2 = 0 for b.
0, 22
Let l(v) be the first derivative of -3*v + 7 - 7/2*v**2 - 5/3*v**3 - 1/4*v**4. Solve l(p) = 0.
-3, -1
Let g(j) be the first derivative of -12*j**5/5 - j**4 + 56*j**3/3 + 8*j**2 - 32*j - 140. Let g(u) = 0. Calculate u.
-2, -1, 2/3, 2
Suppose v - 14*p + 4 = -12*p, p + 16 = 5*v. Let -3/4*j**2 + 0*j + 1/2*j**3 + 0 + 1/4*j**v = 0. Calculate j.
-3, 0, 1
Let w(d) be the second derivative of -d**4/24 - d**3/4 - 161*d. Find n, given that w(n) = 0.
-3, 0
Let x be (-28)/(-42) - (1 - 28/3). Factor 61 - 27 + y**3 - 18 + x*y**2 + 24*y.
(y + 1)*(y + 4)**2
Let d(k) = 21*k**3 + 83*k**2 + 54*k - 83. Let t(r) = 145*r**3 + 580*r**2 + 380*r - 580. Let s(g) = 20*d(g) - 3*t(g). Factor s(z).
-5*(z + 2)*(z + 4)*(3*z - 2)
Solve 4*x**3 - 3*x**3 + 43*x**2 + 20 - x + 36*x**2 - 99*x**2 = 0 for x.
-1, 1, 20
Let y(h) = -h**4 + h**3 - 1. Let f(l) be the first derivative of -4*l**5/5 + 2*l**4 - 4*l**3/3 - 2*l - 22. Let i(j) = -f(j) + 2*y(j). Factor i(d).
2*d**2*(d - 2)*(d - 1)
Let b be ((-30)/(-15))/(2/1) - -13. Let y be 32/b + ((-12)/(-14))/(-3). Factor 0*x + 0 - 2/15*x**y.
-2*x**2/15
Let q be (1 + (4 - 5))*49/(-343). Factor -2/5*d**3 + q*d**2 + 6/5*d + 4/5.
-2*(d - 2)*(d + 1)**2/5
Let z(j) = j**2 + 7*j + 13. Let n be z(-5). Let u be (-6)/9 - (-8)/n. Factor -152*t**3 + t**2 + 160*t**3 - 3*t**u.
2*t**2*(4*t - 1)
Let i be 1*(-1)/1*(-4)/1. Let p be ((-5)/i)/1*(-42)/70. Factor -3/4*q**4 + p*q**2 + 0 - 1/2*q + 1/2*q**3.
-q*(q - 1)*(q + 1)*(3*q - 2)/4
Factor 0*a - 430 - 3*a**2 + 20*a - 134*a - 653.
-3*(a + 19)**2
Suppose p + 1 = -24. Let h = 29 + p. Let 3 + 6*a - 2*a**2 - 3 - h = 0. What is a?
1, 2
Let f(y) be the third derivative of -y**7/252 - 7*y**6/80 + 551*y**5/360 - 355*y**4/48 + 19*y**3/2 - 97*y**2. What is a in f(a) = 0?
-19, 2/5, 3
Let m = 29 - 24. Let x(g) be the first derivative of 0*g**3 + 0*g + m + 0*g**2 + 5/24*g**6 - 3/20*g**5 - 1/8*g**4. Suppose x(a) = 0. Calculate a.
-2/5, 0, 1
Let w = 5 - 7. Let d = 5 + w. Find t, given that -t**4 - t**d - 33 + 33 = 0.
-1, 0
Let l(n) be the first derivative of -n**5/30 + n**4/3 - 4*n**3/3 + 5*n**2/2 + 11. Let h(z) be the second derivative of l(z). Factor h(f).
-2*(f - 2)**2
Let j = -38979 + 77963/2. Suppose 1 - j*t - 25/2*t**2 = 0. Calculate t.
-2/5, 1/5
Determine m, given that 4*m**2 - 12*m - 27*m - 6*m + 216 - 71*m = 0.
2, 27
Let -10/3*f**4 + 4*f + 0 - 2/3*f**5 + 10/3*f**2 - 10/3*f**3 = 0. Calculate f.
-3, -2, -1, 0, 1
Suppose 2*k + 2*r + 0*r + 10 = 0, -5*k + 2*r - 32 = 0. Let j = 1 - k. Factor -j*u**2 - u**3 + 2*u**3 + 5*u**2 + u.
u*(u - 1)**2
Let h(j) = 3*j**4 - 4*j**3 - j - 3. Let d(c) = 2*c**4 - 4*c**3 - 2. Let u(b) = 5*d(b) - 4*h(b). Factor u(k).
-2*(k - 1)*(k + 1)**3
Let c(y) = 47*y**3 - 163*y**2 + 93*y - 13. Let a(h) = 189*h**3 - 651*h**2 + 371*h - 51. Let z(d) = 2*a(d) - 9*c(d). Factor z(w).
-5*(w - 3)*(3*w - 1)**2
Suppose 5*b = -0*b. Suppose -4*j - 2*j + 18 = b. Determine a, given that -4*a**2 + 5*a**2 + 2*a**2 - j*a**4 = 0.
-1, 0, 1
Let u(i) = -2*i**2 - i - 1. Let k(w) = -28*w**4 - 64*w**3 + 196*w**2 + 58*w - 6. Let x(s) = -k(s) + 6*u(s). Find h, given that x(h) = 0.
-4, -2/7, 0, 2
Let c(b) be the third derivative of -5/6*b**3 + 0*b + 0*b**5 - 1/12*b**4 - 7*b**2 + 0 + 1/180*b**6. Let w(m) be the first derivative of c(m). Factor w(t).
2*(t - 1)*(t + 1)
Suppose 11*x - 24 = 5*x. Determine k so that -6*k**5 - 3*k**5 - 108*k - 237*k**3 + 53*k**4 + 288*k**2 + 25*k**x = 0.
0, 2/3, 2, 3
Let h(d) = -17*d - 75. Let u be h(-5). Let a be 4/u - (-78)/30. Suppose 32/9*o + 64/3*o**2 - 592/9*o**a + 6050/9*o**5 - 880/3*o**4 + 0 = 0. What is o?
-2/11, 0, 2/5
Factor -36/5*r - 216/5 - 39/5*r**3 + 138/5*r**2 + 3/5*r**4.
3*(r - 6)**2*(r - 2)*(r + 1)/5
Let o(x) be the second derivative of -3/80*x**5 + 12*x + 0 - 21/4*x**3 + 147/16*x**2 - 27/32*x**4. Factor o(y).
-3*(y + 7)**2*(2*y - 1)/8
Let s(t) be the second derivative of -t**5/4 - 115*t**4/6 + 5*t**3/6 + 115*t**2 + 4*t - 3. Find k such that s(k) = 0.
-46, -1, 1
Let f be -2 + 1 + (-8)/((-1600)/204). Let k(u) be the second derivative of 1/5*u**3 + 0*u**4 + 0 + 2/5*u**2 - f*u**5 + 6*u. Factor k(a).
-2*(a - 2)*(a + 1)**2/5
Let m(d) be the third derivative of 0*d - 1/12*d**4 + 0 - 2*d**2 + 0*d**3 - 1/20*d**6 - 1/10*d**5 - 1/105*d**7. Factor m(j).
-2*j*(j + 1)**3
Let y = -14393 - -14398. Solve 0*i**2 + 27/8*i**y - 39/4*i**3 - 3/4 - 9/4*i**4 + 27/8*i = 0 for i.
-1, 1/3, 2
Suppose 0 = -6*p + 15*p - 1638. Let q = p + -118. Solve -220*j**4 + 292/3*j**3 + 644/3*j**2 - 484/3*j**5 + q*j + 16/3 = 0 for j.
-1, -2/11, 1
Let w(b) = 3*b - 3. Let j(h) = h**2 - 6*h + 5. Let s = 59 + -56. Let r be 5 + 0/(1 - -1). Let z(n) = r*w(n) + s*j(n). Factor z(k).
3*k*(k - 1)
Find x such that 55/2*x**3 + 25/4*x**4 + 0 + 0*x + 121/4*x**2 = 0.
-11/5, 0
Let o(k) be the second derivative of -k**7/252 - k**6/30 - 11*k**5/120 - k**4/36 + k**3/3 + 2*k**2/3 - k - 3. Factor o(x).
-(x - 1)*(x + 1)*(x + 2)**3/6
Let q(r) be the second derivative of 0 + 16*r + 1/22*r**4 - 1/55*r**6 + 1/33*r**3 + 1/110*r**5 - 2/231*r**7 + 0*r**2. What is u in q(u) = 0?
-1, -1/2, 0, 1
Let w(s) be the second derivative of 2/25*s**5 + 0 + 0*s**3 + 0*s**4 - 9*s + 0*s**2 + 2/75*s**6. Factor w(g).
4*g**3*(g + 2)/5
Let s = -255734 + 10228851/40. Let d = s + 105/8. Determine c so that 9/5*c - 9/5*c**3 - 9/5*c**4 + d + 7/5*c**2 = 0.
-1, -2/3, -1/3, 1
Suppose -22*j + 37 = -29. Solve -22/7*w + 2/7 - 50/7*w**j + 10*w**2 = 0.
1/5, 1
Factor 46/5*d**2 - 4*d + 2*d**3 + 0.
2*d*(d + 5)*(5*d - 2)/5
Let a be 7 + 1*(10 + -14). Find m, given that 3 - 3/4*m**5 + 33/4*m**2 + 3/4*m**a - 9/4*m**4 + 9*m = 0.
-2, -1, 2
Let p(i) = 2*i**3 - 4*i**2 + 4*i - 2. Let t be 10/8 - (-6)/8. Let z be p(t). Factor -4*b**2 - 3*b**4 + 7*b**2 + z*b**4 + 6*b**4 - 12*b**3.
3*b**2*(b - 1)*(3*b - 1)
Let v = -406 + 220. Let g be (6 - v/(-36))*24/45. Solve 2/9 + g*r**2 - 2/3*r = 0 for r.
1/2, 1
Suppose -13 = -5*a - d, -11*a - 5*d - 9 = -18. Solve 0*s - 1/2*s**a - 11*s**2 + 16 + 9/2*s**3 = 0.
-1, 2, 4
Let a = 0 + 15. Let -10*p**2 - a*p**3 + 2 - 2 - 4*p**4 - p**4 = 0. Calculate p.
-2, -1, 0
Let c(l) = -4*l**2 + 164*l - 160. Let j(k) = 4*k**2 - 162*k + 158. Let o(f) = 3*c(f) + 2*j(f). Solve o(t) = 0.
1, 41
Let l(a) = 66*a + 1. Let y be l(1). Find f such that f + y*f**2 + 2*f - 70*f**2 = 0.
0, 1
Let c be 5*(16/15 - ((-238)/21 + 12)). Determine q so that -144*q + 384*q**c - 1024/3*q**3 + 18 = 0.
3/8
Suppose 120 = -l + 5*v + 123, -3 = -l + v. Determine m so that 9/2*m**2 + 27/4*m + 3/4*m**3 + l = 0.
-4, -1
Let 16*u**2 + 2*u**4 - 670*u - 18*u**3 + 670*u = 0. Calculate u.
0, 1, 8
Factor 2/5*l**2 + 16/5 - 76/15*l.
2*(l - 12)*(3*l - 2)/15
Let f(p) = -135*p**2 + 1218*p - 2509. Let i(q) = 68*q**2 - 608*q + 1254. Let k(v) = 4*f(v) + 9*i(v). Factor k(w).
2*(6*w - 25)**2
Let o(z) be the second derivative of z**5/5 - 2*z**3/3 - 3*z - 44. Find p such that o(p) = 0.
-1, 0, 1
Let y(t) = -t. Let s(i) = 18*i**2 + 16*i - 4. Let x be -4*(-4 - (-45)/12). Let b(v) = x*s(v) + 2*y(v). Factor b(f).
2*(f + 1)*(9*f - 2)
Let y(v) be the first derivative of 3*v**4 - 29*v**3 + 21*v**2/2 - 81. Solve y(g) = 0.
0, 1/4, 7
Factor 41/3*f**2 + 6 - 47/3*f - 13/3*f**3 + 1/3*f**4.
(f - 9)*(f - 2)*(f - 1)**2/3
Let k(l) = l**2 + 6*l + 1. Let j(v) = -5*v**2 - 32*v - 10. Let s(g) = -j(g) + 2*k(g). Find t, given that s(t) = 0.
-6, -2/7
Let f be 1/2*(10 + -2). Factor 20*j + 45*j**3 - 21*j**f + j**5 - 39*j**2 + 2*j**5 - 8*j + 0*j.
3*j*(j - 4)*(j - 1)**3
Let x(u) = -u**3 + 4*u**2 + 8*u - 6. Suppose 0*c + 12 = 3*c + f, 4*c - 3*f = 29. Let d be x(c). Let -d*r - 16*r + 7*r - 25 - 3*r**2 - 2 = 0. What is r?
-3
Let v(z) be the third derivative of 0*z + 27/35*z**7 - 9/56*z**8 + 0*z**3 - 3/2*z**6 + 0 + 22/15*z**5 + 16*z**2 - 2/3*z**4. Factor v(i).
-2*i*(i - 1)*(3*i - 2)**3
Suppose k - 33 = -10*k. Factor -6*d - 5*d**2 + 5*d**2 + 0*d**2 + k*d**2 - 24.
3*(d