 - 36/17*u = 0. What is u?
-2, 0, 3
Suppose 0 = -4*i - 4*n - 16, n + 0 - 14 = 2*i. Let r be (-3)/i + 2/12. Factor -r - 8/3*t**3 - 10/3*t - 16/3*t**2.
-2*(t + 1)*(2*t + 1)**2/3
Let y be 6 + 2*(-2)/2. Let s = 53 - 46. Factor 10*u**4 + 21*u**3 + 16*u**5 - s*u**5 + 6*u**2 + 14*u**y.
3*u**2*(u + 1)**2*(3*u + 2)
Factor -24/7*u**3 + 24/7*u + 0 + 6/7*u**4 - 6/7*u**2.
6*u*(u - 4)*(u - 1)*(u + 1)/7
Factor -157*l**3 - 1020*l - 1626*l**3 - 87*l**3 - 2105*l**2 - 180 - 605*l**4.
-5*(l + 1)**2*(11*l + 6)**2
Let g(w) be the second derivative of -3*w + 0*w**5 + 4/3*w**3 + 0 - 1/24*w**4 + 1/360*w**6 + 0*w**2. Let t(m) be the second derivative of g(m). Solve t(h) = 0.
-1, 1
Let d = -645 - -645. Let p(t) be the first derivative of -3 + d*t - 2/3*t**3 - t**2. Determine x so that p(x) = 0.
-1, 0
Let z(p) = -50*p**3 - 2550*p**2 + 35*p + 70. Let r(f) = -3*f**3 - 150*f**2 + 2*f + 4. Let i(o) = 35*r(o) - 2*z(o). Factor i(n).
-5*n**2*(n + 30)
Let d(q) = -8*q**3 + 104*q**2 + q - 97. Let l(s) = 4*s**3 - 52*s**2 - s + 49. Let m(n) = -3*d(n) - 7*l(n). Solve m(h) = 0.
-1, 1, 13
Let y(r) be the first derivative of 1/20*r**4 + 1/30*r**6 - 3/25*r**5 + 1/5*r**3 - 1/5*r**2 + 0*r - 17. What is g in y(g) = 0?
-1, 0, 1, 2
Suppose 2*b - 9 - 3 = -4*c, -2*b + 3*c - 2 = 0. Suppose 0*j + y = 3*j + b, -3*y = -6. Factor 4/13*v**3 - 2/13*v**4 + j*v**2 + 2/13 - 4/13*v.
-2*(v - 1)**3*(v + 1)/13
Let p(k) be the second derivative of 5*k**7/42 + k**6/6 - 3*k**5/2 + 61*k. Suppose p(l) = 0. Calculate l.
-3, 0, 2
Let y(o) be the third derivative of -o**7/1365 - 7*o**6/260 - 12*o**5/65 - 17*o**4/39 - 2*o**2 + 12*o. Suppose y(u) = 0. What is u?
-17, -2, 0
Let u(f) = -f**2 - 234*f - 225. Let a(h) = 78*h + 75. Let j(b) = -8*a(b) - 3*u(b). Factor j(z).
3*(z + 1)*(z + 25)
Let t = 39 + -19. Solve -16 - 36*c - 4*c**3 + 2*c + 2*c - t*c**2 = 0.
-2, -1
Let f(p) be the first derivative of p**3/3 - p**2/2 + p - 23. Let a(u) = -2*u**3 + 6*u**2 + 10. Let d(v) = 2*a(v) - 12*f(v). Let d(j) = 0. What is j?
-1, 2
Determine p, given that 6/11*p**4 - 6/11*p**2 - 2/11*p**3 + 0 - 2/11*p**5 + 4/11*p = 0.
-1, 0, 1, 2
Let w = 14 - 7. Determine r so that -15 + 13 + 12*r**2 + 2*r - 5*r - w*r**3 = 0.
-2/7, 1
Let 9*x**2 - 8 + 17*x - 7*x**2 - 9*x - 2*x**3 = 0. What is x?
-2, 1, 2
Factor 4/9*i + 16/9 - 2/9*i**2.
-2*(i - 4)*(i + 2)/9
Suppose p = 5*j + 48, -5*j + 119 = 5*p - 211. Solve -8*y**4 - 22*y + p*y**2 - 6*y**3 - 9*y**4 + 12 + 82*y - 4*y**4 = 0.
-1, -2/7, 2
Factor 20/17*j - 16/17 - 2/17*j**2 - 2/17*j**3.
-2*(j - 2)*(j - 1)*(j + 4)/17
Let o be (-60)/54 + 1 + 1/3. Let y(i) be the second derivative of 12*i - 1/12*i**4 + 2/3*i**2 + 0 + o*i**3. Factor y(s).
-(s - 2)*(3*s + 2)/3
Let t(c) be the first derivative of 5*c**3/3 + 605*c**2 + 73205*c - 222. Let t(o) = 0. Calculate o.
-121
Solve 18 - 9*c**2 - 3*c**3 + 23 - 29 = 0 for c.
-2, 1
Let r(d) = -d**3 + 16*d**2 - 14*d - 13. Let p be r(15). Let a be (p - (0 - -1))*6/2. Determine u so that -4/7*u**2 + 0 - 2/7*u**a - 2/7*u = 0.
-1, 0
Let y(h) = -h**2 + 2*h + 8. Let x be y(4). Suppose -2 + x = -c. Find w, given that 2/5*w**3 - 2/5*w - 2/5 + 2/5*w**c = 0.
-1, 1
Let h(n) = n**3 + 15*n**2 + 4. Let p be h(-15). Suppose -2 - p = -3*y. Determine g, given that -15/7*g**y + 9/7*g + 6/7 = 0.
-2/5, 1
Let p(a) be the second derivative of -a**6/280 + a**5/140 + 29*a**2/2 - 9*a. Let h(w) be the first derivative of p(w). Determine o, given that h(o) = 0.
0, 1
Let q(k) be the second derivative of -2*k**6/15 + 7*k**5/5 - 8*k**4/3 - 32*k**3/3 + 22*k + 2. What is d in q(d) = 0?
-1, 0, 4
Let k = 25 - 19. Suppose w = q, -q - 20 = -k*q. What is p in 15 - 4*p**w - 15 + 4*p**2 = 0?
-1, 0, 1
Find v such that 116/3*v**4 - 16/3*v + 452/3*v**3 + 32/3 - 112/3*v**5 - 472/3*v**2 = 0.
-2, -1/4, 2/7, 1, 2
Factor -9*i**4 + 6*i**4 + 13*i**3 - 23*i**2 + 8*i**3 + 5*i**2.
-3*i**2*(i - 6)*(i - 1)
Let v(k) be the third derivative of k**7/1155 + k**6/55 + k**5/11 + 7*k**4/33 + 3*k**3/11 - 52*k**2. What is l in v(l) = 0?
-9, -1
Let h(f) be the first derivative of -f**4/8 - 77*f**3 - 17787*f**2 - 1826132*f - 158. Determine x, given that h(x) = 0.
-154
Let t(l) = -6*l**3 + 14*l**2 + l - 3. Let r(d) = -25*d**3 + 55*d**2 + 3*d - 11. Let j be (-44)/(-6)*(-12)/(12/3). Let i(c) = j*t(c) + 6*r(c). Factor i(x).
-2*x*(x - 1)*(9*x - 2)
Let d(q) be the second derivative of -1/30*q**6 + 0 + 0*q**2 - 1/4*q**4 + 3/20*q**5 + 3*q + 1/6*q**3. Factor d(i).
-i*(i - 1)**3
Factor 5*i**2 - 136 + 0*i**2 - 16 - 3*i**2 + 72*i.
2*(i - 2)*(i + 38)
Suppose -509*h**2 - 8 - 3*h**4 + 5*h**4 + 54*h**4 - 44*h**3 + 461*h**2 + 44*h = 0. What is h?
-1, 2/7, 1/2, 1
Let m(i) be the first derivative of -5*i**6/6 - 6*i**5 - 5*i**4/4 + 40*i**3 - 40*i**2 + 81. Factor m(f).
-5*f*(f - 1)**2*(f + 4)**2
Let w = 32957/7 - 4707. Factor -2/7*x**4 + 0 + 8/7*x**3 + 0*x - w*x**2.
-2*x**2*(x - 2)**2/7
Let j(x) be the third derivative of -x**6/75 + 23*x**5/150 - 13*x**4/30 - 8*x**3/15 + x**2 + 17*x. Solve j(i) = 0 for i.
-1/4, 2, 4
Let c = 7 + -3. Suppose -2990*i + 2960*i = 0. Factor 2/7*v**c + 0*v - 4/7*v**2 + i - 2/7*v**3.
2*v**2*(v - 2)*(v + 1)/7
Let j be (-35)/6 + (-7)/42. Let p = j + 11. Factor 0*b**2 - 9*b + p*b**2 - 2*b**2.
3*b*(b - 3)
Let n(r) be the first derivative of -r**6 - 53*r**5/10 + 23*r**4/4 + 8*r**3 - 17*r**2/2 + 5*r/2 + 182. Suppose n(w) = 0. What is w?
-5, -1, 1/4, 1/3, 1
Let s(d) be the first derivative of 1/30*d**5 + 26 + 0*d - 1/24*d**4 + 0*d**3 + 0*d**2. Let s(w) = 0. Calculate w.
0, 1
Determine c so that 1/4*c**3 + 9/4*c**2 - 3*c - 5 = 0.
-10, -1, 2
Let i be (-483)/(-138)*((-22)/(-14) - 1). Let y(x) be the second derivative of -5*x + 0 - 1/195*x**6 - 1/39*x**4 + 0*x**3 + 3/130*x**5 + 0*x**i. Factor y(h).
-2*h**2*(h - 2)*(h - 1)/13
Let v = 9/253 + -3527/106260. Let a(m) be the third derivative of -v*m**6 + m**2 + 2/21*m**3 + 2/105*m**5 + 0 + 0*m - 5/84*m**4. Suppose a(u) = 0. What is u?
1, 2
Factor -6*n**2 + 50*n**5 + 6*n**4 - 22*n**5 - 3*n - 25*n**5.
3*n*(n - 1)*(n + 1)**3
Let h(g) be the first derivative of -15*g**4 + 248*g**3/3 - 106*g**2 + 24*g - 546. What is j in h(j) = 0?
2/15, 1, 3
Let b(t) be the third derivative of -1/560*t**7 + 1/448*t**8 + 0 - 1/320*t**6 + 0*t**3 + 0*t**4 + 0*t + 0*t**5 + 13*t**2. Determine o, given that b(o) = 0.
-1/2, 0, 1
Suppose -5*v = 5*m + 5, 5*v + 45 = 5*m - 0*v. What is g in 7*g**4 - 20*g**4 + 16*g**2 - 15*g**m - 48*g**3 = 0?
-2, 0, 2/7
Find j, given that 423/4*j**2 + 101/4*j**3 + 23/8*j**4 + 1701/8*j + 1/8*j**5 + 1323/8 = 0.
-7, -3
Find l, given that 452 - 3635*l**2 + 437*l + 689*l + 4529*l**2 - 2*l**4 + 218*l**3 = 0.
-2, -1, 113
Let m(g) be the first derivative of -4*g**5/5 + 2*g**4 + 4*g**3/3 - 4*g**2 - 8. Solve m(x) = 0.
-1, 0, 1, 2
Let j(r) = -12*r**4 - 38*r**3 - 50*r**2 - 34*r - 6. Let o(y) = y**5 + y**4 - y + 1. Let a(z) = -j(z) + 2*o(z). Determine f so that a(f) = 0.
-2, -1
What is k in 206/5*k**2 - 338/5 + 8/5*k**3 + 260*k = 0?
-13, 1/4
Let z(s) be the third derivative of s**7/735 - s**6/210 - s**5/70 + s**4/21 + 4*s**3/21 + s**2 - 6*s. Factor z(g).
2*(g - 2)**2*(g + 1)**2/7
Let w(a) be the first derivative of -a**6/3 - 38*a**5/5 - 56*a**4 - 592*a**3/3 - 368*a**2 - 352*a + 304. What is i in w(i) = 0?
-11, -2
Let p = -11/12 - -7/6. Let n(b) be the second derivative of 0 - 3/2*b**3 + p*b**4 + 3*b**2 - b. Find a such that n(a) = 0.
1, 2
Let r = 35 + -34. Factor 1 + 68*c**3 - r + 15*c**2 - 63*c**3.
5*c**2*(c + 3)
Let z(u) = 2*u**3 + 5*u**2 + u + 4. Let t(f) = 4*f**3 + 11*f**2 + 3*f + 9. Let q(h) = 6*t(h) - 13*z(h). Factor q(g).
-(g - 2)*(g + 1)*(2*g + 1)
Factor -6/7*q + 0 + 18/7*q**2.
6*q*(3*q - 1)/7
Let o(h) be the second derivative of h**4/48 + 17*h**3/12 + 289*h**2/8 + 66*h. Determine f, given that o(f) = 0.
-17
Let z(h) = -6*h**3 - 60*h**2 + 78*h + 122. Let a(x) = 2*x**3 + 20*x**2 - 26*x - 41. Let s(j) = -20*a(j) - 6*z(j). Determine f so that s(f) = 0.
-11, -1, 2
Suppose -6*f + 426 = -666. Factor -6*d**3 + 3 - 1 + f*d**2 - 158*d**2 - 3*d**3 - 13*d.
-(d - 2)*(3*d - 1)**2
Suppose 26*x + 91 = -124 + 267. Factor 10/9*r - 8/9 - 2/9*r**x.
-2*(r - 4)*(r - 1)/9
Let v(y) = y**4 - 28*y**3 + 38*y**2 - 44*y + 9. Let g(z) = z**4 - 19*z**3 + 26*z**2 - 29*z + 6. Let d(w) = -8*g(w) + 5*v(w). Factor d(a).
-3*(a - 1)**4
Let w(i) = -i**5 + 11*i**4 - 3*i**3 - 21*i**2 + 9*i. Let t(z) = z**5 + z**2 - z. Let b(v) = 5*t(v) + w(v)