40*u**2.
(u + 1)*(u + 2)
Suppose 0 = -q + 3*a + 78, 3*a = 4*q + 2*a - 279. Let m = q + -343/5. Solve 0 - 2/5*x**2 - 4/5*x + m*x**3 = 0.
-1, 0, 2
Let q(y) be the third derivative of -11881*y**7/210 - 109*y**6/30 - y**5/15 - 8*y**2 + 7*y. Solve q(c) = 0.
-2/109, 0
Suppose 3 = -s + 5. Let n be 16/40 + -27*2/(-15). Factor s*x - x + 14*x - x**3 - 10*x**2 - n*x**3.
-5*x*(x - 1)*(x + 3)
Suppose 5*z = -y - 0*z + 38, 5*y - 2*z = 271. Let m = y + -35. Factor 2*t**4 - 8*t**3 + 4*t + m*t**4 - 4*t**2 - 4*t**3 - 8*t**5.
-4*t*(t - 1)**3*(2*t + 1)
Let u(p) be the third derivative of p**5/15 + 5*p**4/2 - 32*p**3/3 + 2*p**2 + 13. Determine d so that u(d) = 0.
-16, 1
Let x(h) be the third derivative of -h**5/50 + 3*h**4/20 - 5*h**2 + 4*h. Factor x(v).
-6*v*(v - 3)/5
Let o(q) be the first derivative of q**4/16 + 5*q**3/2 - 97*q**2/8 + 33*q/2 + 54. Find h, given that o(h) = 0.
-33, 1, 2
Determine z, given that -z**2 - 5*z**5 - 9*z**3 + z + z**5 - 11*z**4 + 4907 - 4907 = 0.
-1, 0, 1/4
Suppose 18*d**3 - d**4 - 10*d**3 + 10*d**2 + 11*d**2 - 28*d**2 = 0. Calculate d.
0, 1, 7
Let u(f) = 10*f - 40. Let q(v) = 3*v**2 - 4*v - 3. Let c be q(-1). Let x be u(c). Suppose 0*l - 1/8*l**3 + 1/8*l**2 + x = 0. Calculate l.
0, 1
Suppose 4*g - 14 = -3*g. Solve 4*w - 3*w**g + 4*w**2 - w = 0.
-3, 0
Let p be 28 + -4*(-4)/(-4). Solve -p*l + 6*l**2 + 20*l + 0*l**2 - 2*l**3 = 0.
0, 1, 2
Let x be 10 + 9 + (-1253)/66. Let q(c) be the second derivative of -13*c + 0*c**3 + 1/110*c**5 + 0*c**2 - x*c**4 + 0. Factor q(j).
2*j**2*(j - 1)/11
Let n(z) = 9*z**3 - 134*z**2 - 17*z + 17. Let m(q) = -3*q**3 + 45*q**2 + 6*q - 6. Let h(i) = 17*m(i) + 6*n(i). Factor h(v).
3*v**2*(v - 13)
Suppose 2*v - 9 = -5*q + 21, -2*q = -4*v + 12. Factor 4/9*o**2 + 4/3*o**3 + 4/3*o**4 + 0 + 0*o + 4/9*o**v.
4*o**2*(o + 1)**3/9
Suppose 57/2*t + 0 + 1/2*t**2 = 0. What is t?
-57, 0
Suppose s + 3 + 3 = 0. Let d = -4 - s. Suppose -4*a**d + 2*a**3 - 9*a**4 + a**3 + 13*a**2 + 0*a**3 - 6*a + 3*a**5 = 0. What is a?
-1, 0, 1, 2
Let f(i) be the first derivative of 4*i**3/3 - 4*i**2 - 12*i + 321. Solve f(g) = 0.
-1, 3
Let w(y) be the second derivative of -1/3*y**4 + 0*y**2 - 6*y + 2/9*y**3 + 0. Factor w(j).
-4*j*(3*j - 1)/3
Let x = 11/100 + -2/75. Let j(a) be the first derivative of x*a**4 + 5/9*a**3 + 7/6*a**2 + a + 7. Factor j(t).
(t + 1)**2*(t + 3)/3
Let c(q) = 11*q + 7. Let k be c(-7). Let w be (-2)/k - (-28)/70. Factor 3/7*t**5 + 3/7*t**4 - w*t**3 + 0 - 3/7*t**2 + 0*t.
3*t**2*(t - 1)*(t + 1)**2/7
Let l(n) be the second derivative of 0*n**4 - 7*n - 8/9*n**3 + 0 + 8/3*n**2 + 1/15*n**5 - 1/90*n**6. Factor l(v).
-(v - 2)**3*(v + 2)/3
Find x such that -17/2*x**3 + 40*x**2 + 1/2*x**4 + 0 - 32*x = 0.
0, 1, 8
Let a = 96 + -90. Let v be (3/(-2))/(a/(-8)). Determine u so that 4/5*u**v + 0 - 4/5*u**4 - 4/5*u**3 + 4/5*u**5 + 0*u = 0.
-1, 0, 1
Suppose s = -0*s + 4. Factor -2 - 16*w - s*w**3 + 10 + 7*w**2 + 2*w**3 + 3*w**2.
-2*(w - 2)**2*(w - 1)
Let c(j) be the first derivative of 1/16*j**4 - 2 - 1/240*j**6 + 0*j**5 + 0*j + 4/3*j**3 + 0*j**2. Let k(b) be the third derivative of c(b). Factor k(x).
-3*(x - 1)*(x + 1)/2
Let n be (8/3)/(1 + (-2)/6). Let s(y) be the second derivative of -6*y - 20/9*y**3 + 0 + 25/18*y**n + 4/3*y**2. Factor s(r).
2*(5*r - 2)**2/3
Let n be (-3170)/(-1050) - (2 + 4/4). Let k(g) be the third derivative of n*g**7 + 0 + 0*g**3 + 0*g - 1/15*g**6 - 4*g**2 - 1/15*g**5 + 1/3*g**4. Factor k(m).
4*m*(m - 2)*(m - 1)*(m + 1)
Let p(z) be the first derivative of 0*z + 1/1080*z**6 + 1/18*z**4 + 2*z**3 - 1/90*z**5 - 2 + 0*z**2. Let f(o) be the third derivative of p(o). Factor f(w).
(w - 2)**2/3
Let y(i) be the first derivative of 5*i**4/42 - 2*i**3/21 - 10*i - 11. Let n(p) be the first derivative of y(p). What is f in n(f) = 0?
0, 2/5
Let s(k) = -3*k**3 - 16*k**2. Let l(y) = -4*y**3 - 24*y**2. Let j be (8/6)/((-5)/30). Let x(z) = j*s(z) + 5*l(z). Factor x(p).
4*p**2*(p + 2)
Let 0*d + 0 + 6*d**2 - 1/2*d**3 = 0. Calculate d.
0, 12
Let i(d) = 152*d + 1824. Let x be i(-12). Factor 1/4*z**3 - 3/4*z + x*z**2 + 1/2.
(z - 1)**2*(z + 2)/4
Let -27/5*w**2 + 9*w + 3/5*w**3 + 15 = 0. Calculate w.
-1, 5
Let y = 3 + -2. Suppose y + 5 = n. What is k in -n*k**2 - 2 + 16*k + 2 - 8 = 0?
2/3, 2
Determine g, given that 3*g**2 + 272*g**3 - g**4 + 274*g**3 - 548*g**3 + 4 + 8*g = 0.
-2, -1, 2
Let l = 2 + 0. Factor -18*n + n**2 + 2*n + 14 + 18 + n**l.
2*(n - 4)**2
Let z(d) be the second derivative of -d**7/10080 - d**6/360 - d**5/30 + 2*d**4/3 + 8*d. Let w(h) be the third derivative of z(h). Find v, given that w(v) = 0.
-4
Let h(o) be the third derivative of o**9/8640 - o**8/13440 + 17*o**4/24 - 14*o**2. Let d(l) be the second derivative of h(l). Solve d(j) = 0.
0, 2/7
Let j(f) = 14*f + 11*f + 11*f - 28*f - 27. Let m be j(4). Determine l so that -1/3*l - l**4 + 0 + 5/3*l**3 - 4/3*l**m + l**2 = 0.
-1, 0, 1/4, 1
Suppose x = -3*x - 3*o + 9, 2*x = -5*o + 15. Let d(c) = c**2 + 1. Let u be d(-1). Factor -4*b + x*b**2 - b**u - b**2.
-2*b*(b + 2)
Let t be 8/24*(-36)/(-33). Determine l, given that -6/11*l**2 + 2/11*l + t - 2/11*l**3 + 2/11*l**4 = 0.
-1, 1, 2
Suppose -4*t + 4 = 0, -d + 2 = -5*t + 5. Let y be 14 + -16 - (0 - d). Factor y + 0*j - 2/5*j**2 + 2/5*j**3.
2*j**2*(j - 1)/5
Suppose 3*p + 14*k = 16*k + 19, -10 = 2*k. Let 1/3*b**p + 1/3*b**2 + 0 + 0*b = 0. Calculate b.
-1, 0
Let t be -15 + ((-9823)/33)/(-19). Factor t*b**2 + 2/3*b - 4/3.
2*(b - 1)*(b + 2)/3
Suppose 6*j + 17*j - 46 = 0. Let w(t) be the first derivative of j - 9*t**2 - 4*t + 10/3*t**3. Determine g, given that w(g) = 0.
-1/5, 2
Find c such that -2*c**3 - 116 - 49*c**2 - 71*c**2 - 791*c + 557*c = 0.
-58, -1
Let u(w) be the second derivative of -w**9/13608 + w**7/3780 + w**3/3 + w. Let l(j) be the second derivative of u(j). Solve l(q) = 0.
-1, 0, 1
Let h(g) be the first derivative of -5*g**4/4 + 10*g**3/3 + 20*g**2 - 18. Find u, given that h(u) = 0.
-2, 0, 4
Let q(c) be the third derivative of -c**10/1134000 + c**9/453600 + c**5/5 + 9*c**2. Let f(i) be the third derivative of q(i). Factor f(w).
-2*w**3*(w - 1)/15
Let i = -4462/35 - -898/7. Factor 0 + 2/5*f - i*f**2 + 2/5*f**3.
2*f*(f - 1)**2/5
Suppose 4*p + 3 = -3*m, 2*m + 5*p = 173 - 182. Solve -v**5 + 32/5 + 16*v**2 - 22/5*v**4 + 112/5*v - 8/5*v**m = 0 for v.
-2, -2/5, 2
Let u(l) be the first derivative of -l**6/80 - 11*l**5/240 - l**4/24 + 19*l**3/3 - 5. Let s(i) be the third derivative of u(i). Factor s(c).
-(c + 1)*(9*c + 2)/2
Let r(z) be the first derivative of 2*z**5/55 + 5*z**4/22 - 4*z**3/11 - 24. Suppose r(k) = 0. What is k?
-6, 0, 1
Let i(t) = -t**4 - 4*t**3 - 7*t**2 - 2. Let o(k) = -5*k**4 - 20*k**3 - 36*k**2 + k - 11. Let j be (-1)/(90/22 + -4). Let d(y) = j*i(y) + 2*o(y). Factor d(f).
f*(f + 1)**2*(f + 2)
Let w(u) = 210*u + 2526. Let i be w(-12). Factor 6*g - 9/2*g**3 - 3*g**4 + i*g**2 + 3/2*g**5 + 0.
3*g*(g - 2)**2*(g + 1)**2/2
Let a(i) be the second derivative of -i**8/336 - i**7/70 + i**5/15 + 21*i**2/2 - 3*i. Let m(p) be the first derivative of a(p). Solve m(t) = 0 for t.
-2, 0, 1
Let h(l) = 2*l**3 + l**2 + l - 1. Let c(z) = 21*z**3 + 15*z**2 + 11*z - 11. Let v(k) = -2*c(k) + 22*h(k). Determine o, given that v(o) = 0.
0, 4
Let i(r) = -r**5 - r**4 - r**3 + 1. Let d(w) = -w**2 - 2*w + 6. Let q be d(-4). Let b(n) = 2*n**4 + n**3 - 1. Let j(h) = q*b(h) - 2*i(h). Solve j(z) = 0 for z.
0, 1
Let u(w) = w + 1. Let r be u(1). Solve 0*p + 29*p**r - 32*p**2 - 49*p - 39 + 7*p = 0.
-13, -1
Let x(y) be the first derivative of 2/9*y**3 - 4/3*y + 2/15*y**5 - 23 + y**2 - 1/2*y**4. Find q such that x(q) = 0.
-1, 1, 2
Let g(d) be the third derivative of -1/8*d**4 + 1/9*d**3 + 0 + 0*d + 9*d**2 + 1/45*d**5. Suppose g(p) = 0. What is p?
1/4, 2
Let n(r) be the second derivative of -r**6/15 + 7*r**4/6 + 2*r**3 + 636*r - 2. Find g, given that n(g) = 0.
-2, -1, 0, 3
Let y(p) be the third derivative of -p**6/420 - p**5/70 + 3*p**4/28 - 5*p**3/21 - 4*p**2 + 14. Let y(d) = 0. Calculate d.
-5, 1
Let a = -30 + 57. Let n be (1/3)/((-12)/a - -1). Suppose 6/5*b**3 + 0*b**2 + 3/5*b**4 - n - 6/5*b = 0. What is b?
-1, 1
Let o(p) be the third derivative of 14*p**2 - 5/3*p**3 + 2/21*p**7 - 1/6*p**5 + 0 + 1/6*p**6 - 25/24*p**4 - 2*p + 5/336*p**8. Factor o(s).
5*(s - 1)*(s + 1)**3*(s + 2)
Let s(p) = -p**3 - 3*p + 4. Let i(h) = h**3 - 1. Let c be -4 - (-5 + 4 + -3) -