 7/3*u**2 + 4/3 = 0.
-1, 1, 2
Suppose 55/3*t**3 + 44/3*t**2 + 26/3*t**4 + 4*t + 0 + t**5 = 0. What is t?
-6, -1, -2/3, 0
Let m be (-9)/(-4 + -1 + 2). Suppose -3*q + 17 = 5*j, m*q - 19 = -4*j - 3. Factor -6*o**q + 0*o + 2*o**3 - 7/2*o**5 + 0*o**2 + 0.
-o**3*(o + 2)*(7*o - 2)/2
Suppose -5145*j + 45 = -5*q - 5150*j, -2*q - 4*j - 36 = 0. Factor 2/9*u**4 + q - 20/3*u**3 + 200/3*u**2 - 2000/9*u.
2*u*(u - 10)**3/9
Let j = -29/2 - -149/10. Let x(n) be the first derivative of j*n**5 - 5 + 1/3*n**6 - 2/3*n**3 - 3/2*n**4 + 2*n**2 + 0*n. Factor x(d).
2*d*(d - 1)**2*(d + 1)*(d + 2)
Let q(c) = 3*c**3 - 13*c**2 - 45*c - 14. Let o(r) = 2*r**3 - 14*r**2 - 42*r - 14. Let f(z) = 5*o(z) - 4*q(z). Factor f(j).
-2*(j + 1)**2*(j + 7)
Let r(m) be the second derivative of 0 - 23*m - 64/15*m**2 + 16/15*m**3 - 1/10*m**4. Determine w, given that r(w) = 0.
8/3
Let y be -6 + (-38)/(-6) - 6/(-6). Factor 0 + 4/3*i**5 + 0*i**4 + 0*i**2 - 8/3*i**3 + y*i.
4*i*(i - 1)**2*(i + 1)**2/3
Suppose 33/7*y - 3/7*y**2 + 78/7 = 0. What is y?
-2, 13
Let f(b) be the second derivative of -11*b**7/6300 - b**6/135 - 7*b**5/900 + b**4/90 - 43*b**3/6 + 40*b. Let d(x) be the second derivative of f(x). Factor d(j).
-2*(j + 1)**2*(11*j - 2)/15
Suppose 71*x = -82*x. Factor 1/2*k**3 + 0*k - 1/4*k**4 - 1/4*k**2 + x.
-k**2*(k - 1)**2/4
Let b(w) = -3*w**2 + w - 4. Let r(d) = d**2 + d + 1. Suppose -12 = 2*o - 20. Let h(l) = o*r(l) + 2*b(l). Solve h(z) = 0 for z.
1, 2
Let a(v) be the first derivative of -4*v**3/3 + 68*v**2 - 132*v + 3. What is s in a(s) = 0?
1, 33
Let f(r) be the first derivative of r**4/36 - r**3/3 - 7*r**2/6 + 13*r + 9. Let z(n) be the first derivative of f(n). Find c such that z(c) = 0.
-1, 7
Let q(v) = -4*v**4 + 38*v**3 - 135*v**2 + 101*v + 7. Let h(o) = -o**4 + 12*o**3 - 45*o**2 + 34*o + 2. Let m(f) = -7*h(f) + 2*q(f). Factor m(s).
-s*(s - 3)*(s - 1)*(s + 12)
Let s be (42/315)/(2/(-3))*-6. What is f in -s*f**2 + 2/5*f**3 + 6/5*f - 2/5 = 0?
1
Suppose 12*c + 57*c + 42*c - 33*c = 0. Determine s, given that -2/3*s**2 - s + 5/3*s**3 + c = 0.
-3/5, 0, 1
Let w(m) be the third derivative of 8*m**2 + 0 + 71/6*m**6 + 173/12*m**5 + 8/3*m**3 + 8/3*m**7 + 4/21*m**8 + 0*m + 25/3*m**4. Let w(p) = 0. What is p?
-4, -1/4
Let j = -105 - -128. Factor -9*n**2 - 63 + 35*n + 14*n**2 + j.
5*(n - 1)*(n + 8)
Let x(n) = -9*n**2 + 8*n - 15. Let y be x(5). Let z = 1003/5 + y. Let -3/5*i**2 + 0 - z*i = 0. What is i?
-1, 0
Let m = -3602 + 3604. Solve 0 - 8/5*g**3 + 0*g + 4/5*g**4 + 4/5*g**m = 0.
0, 1
Let o(u) be the second derivative of -26*u + 0 - 16/3*u**3 - 38*u**5 + 0*u**2 - 70/3*u**6 - 68/3*u**4. What is q in o(q) = 0?
-2/5, -2/7, 0
Let l(s) = 2*s**2 + 5*s + 3. Let y(z) = -z - 2. Let b be y(1). Let w be l(b). Factor w*k**2 - 2*k**2 + 82 - 86.
4*(k - 1)*(k + 1)
Let d(c) be the third derivative of 0*c**3 + 0*c - 8/21*c**7 + 0 - 5/48*c**8 + 0*c**4 - 1/6*c**5 - 11/24*c**6 - 47*c**2. Determine n, given that d(n) = 0.
-1, -2/7, 0
Let d(n) be the first derivative of -4*n**5/25 + 4*n**3/5 - 4*n**2/5 + 50. Factor d(b).
-4*b*(b - 1)**2*(b + 2)/5
Determine s, given that 200 + 2*s**4 - 7*s**4 + 10*s**2 - 205 = 0.
-1, 1
Let z(c) be the third derivative of -c**5/12 + 5*c**4/24 + 5*c**3/3 - c**2 - 89. Factor z(g).
-5*(g - 2)*(g + 1)
Solve -172/3*w + 2/3*w**2 + 3698/3 = 0.
43
Let n(k) be the second derivative of -k**7/14 + 3*k**6/5 - 39*k**5/20 + 3*k**4 - 2*k**3 - 68*k. Factor n(u).
-3*u*(u - 2)**2*(u - 1)**2
Let y(z) be the second derivative of -z**4/20 - 48*z**3/5 - 3456*z**2/5 + z. What is u in y(u) = 0?
-48
Suppose -3*l - 7 = 5. Let k be (-2 - 0)*6/l. Find q, given that 4 - 9*q**k + 0*q**2 + 8 + 3*q**2 + 24*q = 0.
-1, -2/3, 2
Let r be 3*68/(-288) + 3/4. Let q(k) be the third derivative of 0*k - r*k**3 + 6*k**2 + 0 - 1/240*k**5 - 1/48*k**4. Let q(m) = 0. What is m?
-1
What is p in -p**2 - 5*p**5 + 0 - p**3 + 0*p + 43/4*p**4 = 0?
-1/4, 0, 2/5, 2
Let l = -8517 - -8521. Solve -2*k - 1/5*k**2 + 4/5 + 29/10*k**3 - 3/5*k**l - 9/10*k**5 = 0 for k.
-2, -1, 2/3, 1
Let j(r) be the first derivative of 20 + 2/7*r**2 + 80/21*r**6 - 6/7*r**3 - 19/14*r**4 + 0*r + 144/35*r**5. What is m in j(m) = 0?
-1, -2/5, 0, 1/4
Let a(q) be the third derivative of -1/1260*q**6 + 2/63*q**3 + 8*q**2 + 0 + 2/315*q**5 + 0*q - 5/252*q**4. Factor a(j).
-2*(j - 2)*(j - 1)**2/21
Let u(v) be the third derivative of v**8/672 - v**7/140 - 3*v**6/16 - 27*v**5/40 - 22*v**2. Determine b so that u(b) = 0.
-3, 0, 9
Factor 14*q**4 + 32*q**2 + 85*q**3 - 2*q**5 - 2*q**4 - 18*q - 113*q**3 + 4.
-2*(q - 2)*(q - 1)**4
Let v be (2/8)/(-1) + (-76)/(-304). Suppose 4/3*m + 2/3*m**2 + v - 2/3*m**3 = 0. What is m?
-1, 0, 2
Suppose 14*j + 9*j = 15*j. Solve -12/7*t + j - 4/7*t**3 - 16/7*t**2 = 0 for t.
-3, -1, 0
Let k(h) = 3*h**2 + 22*h - 21. Let c(r) = -r**2 - r. Let u(q) = 2*c(q) + k(q). Factor u(m).
(m - 1)*(m + 21)
Let b(d) = -d**4 + d**3 - d**2 + d - 1. Let g(x) = -24*x**5 + 147*x**4 - 138*x**3 - 60*x**2 + 60*x + 12. Let p(j) = -3*b(j) + g(j). What is i in p(i) = 0?
-1/2, -1/4, 1, 5
Determine l so that 432/19*l**3 + 1080/19*l**2 + 250/19 + 900/19*l = 0.
-5/6
Suppose -3*f - 3*q + 34 = 2*q, 0 = -4*f + q + 7. Factor -f*w**2 - 3*w + 7*w + 8*w.
-3*w*(w - 4)
Let t(z) be the second derivative of z**6/900 - z**5/150 + z**4/90 - 7*z**2/2 + 4*z. Let a(s) be the first derivative of t(s). Factor a(j).
2*j*(j - 2)*(j - 1)/15
Let k = 7247 - 14493/2. Let p be (-6)/8*(-2)/3. Factor -i**2 + 1 + k*i**3 - p*i.
(i - 2)*(i - 1)*(i + 1)/2
Find b, given that -8*b**2 + 3*b**3 - 40*b - 13*b**2 + 76*b = 0.
0, 3, 4
Let n(z) be the first derivative of 24 + 0*z - 1/3*z**3 + 1/2*z**4 + 1/5*z**5 - z**2. Factor n(g).
g*(g - 1)*(g + 1)*(g + 2)
Let g(i) be the third derivative of 9/40*i**6 - 1/4*i**5 + 1/35*i**7 + 0 + 0*i**4 + 0*i**3 + 0*i - 11*i**2. Let g(l) = 0. Calculate l.
-5, 0, 1/2
Let r(d) = -7*d**5 - 48*d**4 + d**3 + 118*d**2 + 76*d. Let u(f) = 4*f**5 + 25*f**4 - 59*f**2 - 38*f. Let z(l) = 3*r(l) + 5*u(l). Factor z(o).
-o*(o - 2)*(o + 1)**2*(o + 19)
Let b be (-1 + 115/46)*2. Factor b*k**2 + 9/7 + 12/7*k**3 - 6*k.
3*(k - 1)*(k + 3)*(4*k - 1)/7
Let s(z) be the first derivative of -z**3/3 + 5*z**2/2 - 4*z + 222. Find b, given that s(b) = 0.
1, 4
Let h be 3/(-2)*((-13)/3 + -3). What is j in -h*j**4 + 7*j**4 - 2*j**5 - 32*j**3 + 20*j**4 = 0?
0, 4
Factor 0*z - 3/7*z**5 + 3/7*z**3 + 3/7*z**4 - 3/7*z**2 + 0.
-3*z**2*(z - 1)**2*(z + 1)/7
Let o(j) be the second derivative of -1/54*j**4 + 1/135*j**6 + 0*j**3 + 1/189*j**7 - 1/90*j**5 + 0 + 0*j**2 + 6*j. Solve o(i) = 0.
-1, 0, 1
Let u be 3 + (-3219)/(-15) - 4/(-10). Let j = -216 + u. Factor -4/15*y - 2/15*y**4 + 4/15*y**3 + 0*y**j + 2/15.
-2*(y - 1)**3*(y + 1)/15
Let w = 1412 - 1409. Determine z so that 1/4*z**w + 0 - 1/2*z - 1/4*z**2 = 0.
-1, 0, 2
Let h(p) = -6*p**3 + 3*p**2 + 5*p - 10. Let s be h(2). Let x = 39 + s. Factor 4/11 - 4/11*l**2 - 2/11*l + 2/11*l**x.
2*(l - 2)*(l - 1)*(l + 1)/11
Let b(q) = 2*q**2 - 45*q - 33. Let t(i) = -i**2 + 23*i + 16. Let s(v) = 3*b(v) + 5*t(v). Let m be s(21). Factor 6/13*u + 2/13*u**3 - 18/13 + 10/13*u**m.
2*(u - 1)*(u + 3)**2/13
Let n be 4 - 1*2/(-4)*-2. Suppose 3*r + 2 = n*d + 7*r, -5*r = 4*d - 3. What is p in 0 - 1/3*p**3 + 0*p**d + 1/3*p = 0?
-1, 0, 1
Let s(m) be the first derivative of m**4 + 4*m**3 - 54. Let s(q) = 0. Calculate q.
-3, 0
Let h(w) = 1 + 3*w**3 - w**3 - 4*w**2 - 1. Let r(n) = -11*n**2 + 2*n**3 - 2*n**3 + 2*n**3 + 3*n**3. Let y(g) = -8*h(g) + 3*r(g). Suppose y(q) = 0. Calculate q.
-1, 0
Let n be (14 - (-300)/(-24))*15. Determine f so that n*f**2 + 3/2 - 75/2*f**3 + 27/2*f = 0.
-1/5, 1
Let k be (-3 - -4) + -1 + 21/3. Suppose -11*m = -k*m - 16. Factor -1/2*t**2 - t**3 + 0 + 0*t - 1/2*t**m.
-t**2*(t + 1)**2/2
Let d(n) be the first derivative of -n**4/28 - n**3/14 + 9*n**2/7 - 13*n + 36. Let q(g) be the first derivative of d(g). Find f such that q(f) = 0.
-3, 2
Suppose -3*w = -x - 10, 3*w + 6*x - 40 = x. Suppose -k - 4*l = 20, 2*k + 25 = -k - 5*l. Factor 2/3*a + a**3 - 1/3*a**w + k + 1/3*a**4 - 5/3*a**2.
-a*(a - 1)**3*(a + 2)/3
Let p = 528/1505 + -14/215. Factor 0 + 40/7*l**2 + 2*l**4 + p*l**5 + 36/7*l**3 + 16/7*l.
2*l*(l + 1)*(l + 2)**3/7
Let k(l) be the third derivative of l**8/10080 + l**7/1680 - l**6/2160 - l**5/240 - 19*l**3/3 + 8*l**2. Let w(v) be the first derivative of k(v). Factor w(q).
q*(q - 1)*(q