*d**a - 1176*d + 9*d**2 - 2*d**3 + 923 - 6411.
-2*(d + 14)**3
Suppose 2*i + 4*p - 60 = 5*p, -5*i = 3*p - 128. Let j be (i/(-42))/((-4)/18). Factor 4*d**5 - d**3 + j*d**5 - 6*d**5.
d**3*(d - 1)*(d + 1)
Suppose -1/3*b**2 + 0 - 37/3*b = 0. What is b?
-37, 0
Let z(p) be the first derivative of p**5/15 - 5*p**4/12 + p**3 - 7*p**2/6 + 2*p/3 + 45. Determine m so that z(m) = 0.
1, 2
Let j(i) be the second derivative of -70*i**7/3 + 280*i**6/3 + 83*i**5/4 + 5*i**4/4 + 18*i + 7. Suppose j(n) = 0. Calculate n.
-1/14, 0, 3
Determine j so that 0 - 12/5*j - 114/5*j**2 = 0.
-2/19, 0
Let m be ((-4)/(-6))/((-6)/(-9)) + (-35)/(-25). Solve 4/5*c - 12/5*c**2 + m - 4/5*c**3 = 0 for c.
-3, -1, 1
Suppose -82*n + 90*n = 24. Factor 2/13*p**2 + 2/13*p - 2/13*p**n - 2/13.
-2*(p - 1)**2*(p + 1)/13
Let i be 5/(-25) + (-6)/28*-1. Let t(h) be the second derivative of 0 + 0*h**2 + 2/105*h**6 + 4*h + 1/147*h**7 + 0*h**3 + 0*h**4 + i*h**5. Factor t(d).
2*d**3*(d + 1)**2/7
Let l(k) be the third derivative of -13*k**2 + 0 - 2/315*k**7 + 1/1008*k**8 + 1/90*k**5 + 1/9*k**3 + 0*k - 5/72*k**4 + 1/90*k**6. Solve l(v) = 0 for v.
-1, 1, 2
Let r(v) = v**2 + 5*v + 10. Let o be r(-4). Let h = 3 + o. Solve -1 + 8*u + u**2 + h + 4*u**2 - 5 = 0.
-1, -3/5
Let u = -30 + 30. Let s be u/3*1 + 2. Find w, given that -1/4*w**s - 1/4 + 1/2*w = 0.
1
Solve -30 - 732*o**4 - 328*o**4 + 302*o - 1100*o**2 + 54*o**5 + 1692*o**3 + 142*o**4 = 0.
1/3, 1, 15
Let w(j) be the first derivative of -2*j**5/55 - 15*j**4/22 - 50*j**3/11 - 125*j**2/11 - 86. Solve w(v) = 0.
-5, 0
Let d(q) = -88*q**2 - 24 + 168*q + 27*q**3 - 8 - 4*q**4 - 77*q - 9. Let i(y) = -4*y**4 + 26*y**3 - 88*y**2 + 90*y - 42. Let a(b) = 6*d(b) - 5*i(b). Factor a(v).
-4*(v - 3)**2*(v - 1)**2
Let o(k) be the first derivative of k**4/2 + 10*k**3/3 + 8*k**2 + 8*k - 96. Factor o(i).
2*(i + 1)*(i + 2)**2
Suppose 30*p = -583 + 2203. Let -27 - 63*j - 13/3*j**4 - 22*j**3 - 1/3*j**5 - p*j**2 = 0. Calculate j.
-3, -1
Let m be (0 - -1)*(12 - 7). Suppose -f - 4*r - 5 = 0, 0 = 7*f - 5*f - m*r - 16. Suppose -3/2*k**4 - 3*k**f - 3/2*k**2 + 0*k + 0 = 0. What is k?
-1, 0
Let g be 6/(-3) - (6 - 7). Let v be g/(-5) + (-1)/(-20). Solve v*t**3 - t**2 + t + 0 = 0.
0, 2
Let y(s) = 11*s**2 - 349*s - 348. Let c(b) = -100*b**2 + 3140*b + 3130. Let w(k) = -6*c(k) - 55*y(k). Factor w(q).
-5*(q - 72)*(q + 1)
Suppose 34*f + 4*i = 33*f + 12, -3*i = -4*f + 10. Let m(n) be the first derivative of 20*n - 11 - 5/4*n**f - 20/3*n**3 + 5/2*n**2. Find p such that m(p) = 0.
-4, -1, 1
Let u(j) be the third derivative of 2*j**7/105 - 89*j**6/30 + 899*j**5/5 - 29435*j**4/6 + 97556*j**3/3 - 6*j**2 + 47. Find k, given that u(k) = 0.
2, 29
Suppose 0*s = -3*s + 3. Let k = 2 + s. Solve -3*f**5 - k*f**2 + 3*f - 3*f**4 + 9*f**4 - 3*f**2 = 0 for f.
-1, 0, 1
Let a = 199/3580 + -1/179. Let x(s) be the third derivative of -6*s**2 + 0*s**4 + 0 + 0*s**3 + 0*s + 1/40*s**6 + a*s**5. Factor x(d).
3*d**2*(d + 1)
Let o = 119 + -108. Factor 2*n**3 - 18*n + 9 - 19 - o*n**2 + 5*n**2.
2*(n - 5)*(n + 1)**2
Let j be 0/2*((8 - 4) + -3). Let f(c) be the third derivative of 5*c**2 + 5/48*c**4 - 1/60*c**5 + j*c + 0 - 1/6*c**3. Factor f(i).
-(i - 2)*(2*i - 1)/2
Find i such that -226*i**2 + 465 + 37*i - i**3 + 220*i**2 - 495 = 0.
-10, 1, 3
Let n(v) be the second derivative of v**5/60 + v**4/12 - v**3/2 - 19*v**2/2 - 2*v. Let a(p) be the first derivative of n(p). Factor a(i).
(i - 1)*(i + 3)
Let k(c) = -c - 9. Let m = 49 + -58. Let s be k(m). Factor -8/9*i**3 - 4/9*i + s - 10/9*i**2 - 2/9*i**4.
-2*i*(i + 1)**2*(i + 2)/9
Let x be 4*5 - (-2250)/(-120). Factor 1/4*i**2 + 1 + x*i.
(i + 1)*(i + 4)/4
Factor 2*p**3 + 0*p**2 - 10 - 11*p**2 + 20*p - 3*p + 4.
(p - 3)*(p - 2)*(2*p - 1)
Suppose -8*y + 5*y = 3*z - 3, 5*z - 7 = -3*y. Suppose 14 - 34 = -5*b. Factor 16 - 16 + 2*n**z - b*n.
2*n*(n - 2)
Suppose 9*g + 0*g + 32*g - 12*g = 0. Suppose -2/9*m**2 + g + 2/9*m**4 + 0*m + 2/9*m**5 - 2/9*m**3 = 0. Calculate m.
-1, 0, 1
Let v be ((-12)/14)/((-52)/91). Determine j so that 3/2*j**4 + 0 - v*j**2 + 0*j + 0*j**3 = 0.
-1, 0, 1
Factor -q**2 - 26 + 20 + 12 - 4*q**2 + 5*q + 4*q**2.
-(q - 6)*(q + 1)
Determine y so that 18/7*y**2 - 6*y**4 + 0 + 0*y + 24/7*y**3 = 0.
-3/7, 0, 1
Let t(r) be the first derivative of r**6/45 - 12*r**5/25 + 8*r**4/5 - 92*r**3/45 + r**2 + 628. Factor t(f).
2*f*(f - 15)*(f - 1)**3/15
Let v(u) be the second derivative of 8*u + 0 - 1/6*u**2 + 1/72*u**4 + 1/36*u**3. Factor v(a).
(a - 1)*(a + 2)/6
Suppose 0 = 4*j + 37 - 45. Let b(c) be the third derivative of 0*c + 0 + 0*c**5 + 4*c**j + 1/30*c**3 - 1/1050*c**7 - 1/60*c**4 + 1/300*c**6. Factor b(w).
-(w - 1)**3*(w + 1)/5
Let d = 24 - 24. Suppose -23*g + 20*g = d. Determine v so that 2/7*v**4 + g*v - 1/7*v**5 + 0*v**2 + 0 - 1/7*v**3 = 0.
0, 1
Let g(v) = -v**3 - 8*v**2 + 10*v + 9. Let q be g(-9). Factor -3/4*b**3 + 0*b**2 + 0*b**4 + 0 + q*b + 3/4*b**5.
3*b**3*(b - 1)*(b + 1)/4
Let b(z) be the second derivative of z**4/3 + 4*z**3/3 - 6*z**2 + 12*z + 4. Solve b(t) = 0.
-3, 1
Let p(b) be the second derivative of b**6/6 + 5*b**5/2 + 65*b**4/12 - 50*b**3 + 90*b**2 - 54*b. Suppose p(u) = 0. What is u?
-6, 1
Let d(a) be the third derivative of 5*a**2 - 1/10*a**6 + 0 + 1/70*a**7 + 3/10*a**5 + 1/2*a**3 + 0*a - 1/2*a**4. Factor d(p).
3*(p - 1)**4
Let f(o) be the second derivative of -2*o**7/21 - 34*o**6/15 - 67*o**5/5 + 161*o**4/3 + 1568*o**3/3 - 2744*o**2 + 64*o. What is x in f(x) = 0?
-7, 2
Let a(c) be the first derivative of -c**9/756 + c**8/140 - c**7/105 - 11*c**3/3 + 18. Let f(l) be the third derivative of a(l). Factor f(r).
-4*r**3*(r - 2)*(r - 1)
Let g(d) = -6*d**2 - 106*d - 1. Let p(o) = -o**2 - 19*o. Let y(f) = -4*g(f) + 22*p(f). Find n, given that y(n) = 0.
-2, -1
Let s(n) be the second derivative of -n**7/7560 + n**6/2160 + 5*n**4/6 - n. Let k(b) be the third derivative of s(b). Factor k(d).
-d*(d - 1)/3
Let 2/21*c**2 - 4 + 22/21*c = 0. Calculate c.
-14, 3
Factor -8836/7*i + 0 - 1/7*i**3 - 188/7*i**2.
-i*(i + 94)**2/7
Let i = -227 - -227. Let 1/3 + i*s - 1/3*s**2 = 0. What is s?
-1, 1
Let 109 + 177 - 4*z**2 + 0*z**2 - 40 + 112*z - 6 = 0. Calculate z.
-2, 30
Let f(u) = 8*u**2 - 27*u + 32. Let d(j) be the second derivative of -j**4 + 41/6*j**3 + 0 - 9*j - 24*j**2. Let r(v) = -5*d(v) - 7*f(v). Factor r(y).
4*(y - 2)**2
Let p(h) be the third derivative of -h**5/60 - 17*h**4/12 - 11*h**3/2 - 283*h**2 + 2. Solve p(l) = 0 for l.
-33, -1
Let g(c) be the first derivative of c**5/4 + 17*c**4/16 + c**3/12 - 17*c**2/8 - 3*c/2 - 3. Find s, given that g(s) = 0.
-3, -1, -2/5, 1
Suppose 3*j = -v + 8*j + 600, 3*v + j = 1720. Factor 2*d**4 + 11*d - 557*d**2 + 4 + v*d**2 + 3*d - 4*d**3 + 14*d**3.
2*(d + 1)**3*(d + 2)
Suppose -a - 1 + 4 = 0. Suppose 15*p + 5*p**3 - 14*p**2 + p - 3*p**a + 35 - 3 = 0. What is p?
-1, 4
Let x(w) be the first derivative of -w**3/18 - w**2/12 + 10*w/3 + 95. Solve x(p) = 0 for p.
-5, 4
Let p(t) = 1 - t**3 + 0 - 14*t - 7*t**2 + 15*t. Let l(m) = 2*m**3 + 15*m**2 - 2*m - 2. Let g(v) = 6*l(v) + 13*p(v). Let g(c) = 0. Calculate c.
-1, 1
Let u(k) be the second derivative of k**5/20 - k**4/3 - 5*k**3/6 - 73*k. Determine a, given that u(a) = 0.
-1, 0, 5
Let t be (-78)/65*10/(-6). Suppose -4*r**2 - 3*r**2 - 14*r + 13*r**t - 49 - 7*r**2 = 0. Calculate r.
-7
Let n(p) = -p**4 - p**3 - p**2 - 2. Let f(x) = 10*x**4 - 52*x**3 + 34*x**2 + 12. Let k(s) = f(s) + 6*n(s). Factor k(o).
2*o**2*(o - 14)*(2*o - 1)
Let v be 5 - (-5)/(-5)*-2. Let a(j) = j**2 - j - 40. Let z be a(v). Factor -1/8 + 1/8*d**z + 0*d.
(d - 1)*(d + 1)/8
Let w(o) = o**3 + 2*o**2 + o + 1. Let q(k) = 3*k**3 + 5*k**2 + k + 1. Let f(r) = -q(r) + 2*w(r). Solve f(c) = 0.
-1, 1
Let i(v) = 2*v**2 + v. Let f(h) = 8*h**2 + 5*h + 2. Let n(o) = -f(o) + 5*i(o). Factor n(p).
2*(p - 1)*(p + 1)
Suppose 17*t - 12*t = -y - 17, 0 = -5*y - 3*t + 3. Let x = -2/13 - -17/26. Determine s, given that -x*s**4 + 0*s**2 - 1/4*s**y + 0 + 0*s - 1/4*s**5 = 0.
-1, 0
Let j(o) be the third derivative of -o**8/168 - 4*o**7/105 + o**6/12 + 306*o**2. Solve j(l) = 0.
-5, 0, 1
Suppose -3*u - 17 = -2*r, 5*r + 2 = 5*u + 37. Suppose r*z + 2*i - 2 = -6, 0 = -3*z - 3*i - 6. Factor 0*c**3 + z*c + 1/3*c**2 + 0 - 1/3*c**4.
-c**2*(c - 1)*(c + 1)/3
Let c(a) be the first derivative of 0*a - 25/8*a**4 + 2*a**5 + 5/3*a**3 - 2 - 5/12*a**6 + 0*a**2. What is s in c(