*g**3 - 22*g - 4. Let w(r) = 0. Calculate r.
-14, 0, 1
Let q(f) = -f**2 + 6*f - 5. Let u(k) = 10*k**2 - 54*k + 44. Let x(g) = 52*q(g) + 6*u(g). Factor x(w).
4*(w - 1)*(2*w - 1)
Let 370*i**2 + 185*i - 175*i**2 - 190*i**2 = 0. What is i?
-37, 0
Suppose 64/5*j**2 - 3/5*j**5 + 0*j + 34/5*j**3 - 19*j**4 + 0 = 0. Calculate j.
-32, -2/3, 0, 1
Let m(y) = 8*y**3 + 112*y**2 - 804*y + 916. Let l(w) = -w**3 - 16*w**2 + 115*w - 131. Let q(n) = 20*l(n) + 3*m(n). Factor q(r).
4*(r - 2)**2*(r + 8)
Let t(x) = x**3 - 38*x**2 - 123*x + 2. Let f be t(41). Solve f*c**2 + 2/5*c**3 + 14/5*c + 6/5 = 0 for c.
-3, -1
Let -145*n**2 + 46*n**3 - 51*n**3 + 25*n - 15*n**2 - 180*n = 0. What is n?
-31, -1, 0
Let s(d) = -4*d**3 - 2*d**2 - 18*d - 6. Let t(f) = -9*f**3 - 52*f + 15*f - 13 - 4*f**2 - 2*f**2 + 2*f**2. Let n(w) = 13*s(w) - 6*t(w). Factor n(h).
2*h*(h - 3)*(h + 2)
Let c(o) be the second derivative of 0 - 1/40*o**6 - 1/4*o**3 + 0*o**5 + 3/16*o**4 + 0*o**2 - 2*o. Solve c(u) = 0.
-2, 0, 1
Let j(u) be the first derivative of 3*u**5/20 + u**4/4 - 5*u**3/2 + 9*u**2/2 - 11*u + 14. Let g(y) be the first derivative of j(y). Suppose g(d) = 0. What is d?
-3, 1
Let q be (-4)/((-24)/6*4/8). Solve -8/5 + 4/5*h**3 + 8/5*h**q - 4/5*h = 0.
-2, -1, 1
Let b(m) be the second derivative of m**6/540 + m**5/180 - m**4/18 - 2*m**3/3 + m. Let t(p) be the second derivative of b(p). Factor t(l).
2*(l - 1)*(l + 2)/3
Let j(q) be the third derivative of -q**7/210 - q**6/24 - q**5/15 - 30*q**2 + 3. Let j(i) = 0. What is i?
-4, -1, 0
Let x be 453/(-1510) + 14/4. Find g such that -24/5*g - 12/5*g**2 - x - 2/5*g**3 = 0.
-2
Let c be (2 - (-4 + -2))*1/11. Determine b, given that -c*b**2 - 2/11 - 10/11*b = 0.
-1, -1/4
What is w in -79/5*w**4 - 12/5 - 3*w**5 - 101/5*w**3 + 44/5*w + 19/5*w**2 = 0?
-3, -2, -1, 1/3, 2/5
Let a(f) be the first derivative of -f**6/9 + 16*f**5/3 - 178*f**4/3 - 1844*f**3/9 + 119*f**2 + 588*f - 30. Find w such that a(w) = 0.
-2, -1, 1, 21
Let l(s) be the second derivative of -1/14*s**3 + 0*s**4 + 0*s**2 - 1/98*s**7 + 0 + 3/70*s**5 + 0*s**6 - 9*s. Suppose l(x) = 0. Calculate x.
-1, 0, 1
Factor 2/9*q**3 + 4/9*q + 0 - 2/3*q**2.
2*q*(q - 2)*(q - 1)/9
Let x = 11366/7235 - -42/1447. Factor 0 - 2/5*p**4 + 2/5*p**3 + 8/5*p**2 - x*p.
-2*p*(p - 2)*(p - 1)*(p + 2)/5
Factor 2/3*b**4 + 12 - 18*b + 14/3*b**3 + 2/3*b**2.
2*(b - 1)**2*(b + 3)*(b + 6)/3
Suppose 0*r - r = k - 1, -3*k + 5*r + 35 = 0. Suppose -2*a = k*a - 21. Suppose -4/11*g + 6/11*g**2 + 0 - 2/11*g**a = 0. What is g?
0, 1, 2
Let t(c) be the third derivative of -c**8/10080 + c**7/1260 + c**6/120 + 7*c**5/60 - 7*c**2. Let h(n) be the third derivative of t(n). Factor h(j).
-2*(j - 3)*(j + 1)
Let h(o) = -o + 15. Let z be h(18). Let l(k) = k**2 - k + 5. Let d(i) = -3. Let b(c) = z*l(c) - 5*d(c). Factor b(w).
-3*w*(w - 1)
Let a be (-5)/25*(104/36 - 4). Let r(s) be the first derivative of 2/9*s**2 + 4 - a*s - 2/27*s**3. Factor r(m).
-2*(m - 1)**2/9
Let v(c) = -3*c**4 + 7*c**3 + 7*c**2 - 19*c - 12. Let w(y) = 16*y**4 - 36*y**3 - 38*y**2 + 96*y + 60. Let q(p) = -11*v(p) - 2*w(p). Solve q(a) = 0.
-1, 3, 4
Suppose -28 = 2*p - 9*p. Suppose -a = p*a. Factor 2/3*o**3 + 4/3*o**2 + 2/3*o + a.
2*o*(o + 1)**2/3
Determine w so that 28 + 36*w + 60/7*w**2 + 4/7*w**3 = 0.
-7, -1
Let x(c) be the third derivative of c**5/210 + c**4/21 + 4*c**3/21 + 246*c**2. Find i such that x(i) = 0.
-2
Let d = 127 + -112. Factor -10 - 65*l**2 - d*l - 61*l**2 + 121*l**2.
-5*(l + 1)*(l + 2)
Let s(b) = 4*b - 14. Let o be s(5). Suppose -25*y + 26*y - o = 0. Solve 2 + 3*t**2 + 0*t**2 - 9*t - 4*t + y*t = 0.
1/3, 2
Let f(q) be the third derivative of -q**7/2730 - q**6/780 - q**5/780 - q**3/2 + 11*q**2. Let j(t) be the first derivative of f(t). Factor j(o).
-2*o*(o + 1)*(2*o + 1)/13
Let t(h) be the second derivative of h**5/130 + 5*h**4/156 - 2*h**3/39 - 6*h**2 - 22*h. Let z(w) be the first derivative of t(w). What is b in z(b) = 0?
-2, 1/3
Let f(r) be the third derivative of r**5/60 + 7*r**4/12 - 17*r**3/2 + 404*r**2. Factor f(l).
(l - 3)*(l + 17)
Solve -24/5*d**2 + 24/5*d**4 + 0*d + 0 + 3/5*d**3 - 3/5*d**5 = 0 for d.
-1, 0, 1, 8
Let b(z) be the second derivative of -25*z**5/4 - 175*z**4/6 - 110*z**3/3 - 20*z**2 + 114*z. Factor b(g).
-5*(g + 2)*(5*g + 2)**2
Factor 208*z**2 - 54*z - 11 + 11 + z**3 - 229*z**2 + 2*z**3.
3*z*(z - 9)*(z + 2)
Solve 4*u**2 + 56/15 + 2/15*u**3 + 38/5*u = 0 for u.
-28, -1
Suppose -13*a + 2*a**2 - 31 + 35 + 19*a = 0. What is a?
-2, -1
Let d(z) be the third derivative of z**8/126 + 2*z**7/35 + 43*z**6/240 + 23*z**5/72 + 17*z**4/48 + z**3/4 + 40*z**2. What is t in d(t) = 0?
-1, -3/4
Let j be (-12928)/(-13433) - (-4)/(-38). Factor -2/7*z**2 - 4/7 - j*z.
-2*(z + 1)*(z + 2)/7
Let g(l) = 10*l**5 - 20*l**4 + 8*l**3 - 4. Suppose 2*z + 0*z - 6 = 0. Let n(h) = -10*h**5 + 21*h**4 - 8*h**3 + 3. Let q(p) = z*g(p) + 4*n(p). Factor q(s).
-2*s**3*(s - 2)*(5*s - 2)
Let u(o) be the first derivative of 13 + 2*o**2 + 0*o + 2/3*o**3 - o**4 - 2/5*o**5. Determine j so that u(j) = 0.
-2, -1, 0, 1
Let d(t) = 8 + t**3 - 3 + 2 - 5*t**2 - t. Let x be d(5). Factor -6*l**2 + l + 0*l**3 + l**4 - l**3 + 5*l**x.
l*(l - 1)**2*(l + 1)
Let s = 314/319 + -18/29. Let a = s + -9/55. Determine r, given that -2/5 + a*r - 1/5*r**3 + 2/5*r**2 = 0.
-1, 1, 2
Suppose 3*v**3 - 4*v**3 + 5*v**4 + 10*v + v**3 + 20*v**3 + 25*v**2 = 0. Calculate v.
-2, -1, 0
Find k, given that -2*k**2 + 0*k**2 + 3*k**2 + 16*k + 2 - 9*k**3 - 7*k**3 - 3*k**2 = 0.
-1, -1/8, 1
Let y = 370 - 370. Let g(w) be the first derivative of 0*w**2 + 3/4*w**4 + 2*w**3 + y*w + 5. Factor g(v).
3*v**2*(v + 2)
Determine m, given that m**2 - 2 + 561*m - 277*m - 285*m = 0.
-1, 2
Determine w, given that 0 + 30*w**2 - 32/3*w**3 + 108*w + 2/3*w**4 = 0.
-2, 0, 9
Let t = 6 + 2. Suppose t + 4 = w. Factor m**2 - 2*m**3 + m**3 + w*m - 11*m - 1.
-(m - 1)**2*(m + 1)
Let x = -19645 + 19648. Factor -35/3*r**2 - 5/3*r**x + 0*r + 0.
-5*r**2*(r + 7)/3
Let j(h) be the second derivative of h**4/60 + 4*h**3/3 + 40*h**2 - 126*h. Factor j(n).
(n + 20)**2/5
Suppose -244*f + 239*f = -10. Factor 4/5 + 2/5*r**f - 6/5*r.
2*(r - 2)*(r - 1)/5
Let s(h) be the first derivative of -h**9/5292 - h**8/1470 - h**7/1470 + 28*h**3/3 + 9. Let w(j) be the third derivative of s(j). Solve w(x) = 0 for x.
-1, 0
Suppose 2*q - y - 4 = 4, -q + 5*y + 22 = 0. Let p be (21/15 - q)/(243/(-90)). Factor 0 + 8/9*v**2 - p*v**3 - 8/9*v.
-2*v*(v - 2)**2/9
Let f(d) be the second derivative of 1/8*d**4 + 0 + 0*d**2 + 1/8*d**3 + d. Factor f(y).
3*y*(2*y + 1)/4
Let x be (-3164)/(-1017)*(-3)/(-2) + -4. Factor -16/15*v - 8/15 - 2/15*v**3 - x*v**2.
-2*(v + 1)*(v + 2)**2/15
Let m be (1/(-1))/(1/(-3)). Suppose 3*g - 6*g - 5*j = -21, 3*g = 4*j - 6. Find n, given that -m*n**4 + n**4 - 4*n - n**2 + 4*n**3 + 3*n**g = 0.
-1, 0, 1, 2
Let n(l) = -15*l**3 + 2*l - 1. Let z be n(-2). Factor -45 - 186*x**2 + 5*x**4 + 30*x + 111*x**2 + z*x**2 - 30*x**3.
5*(x - 3)**2*(x - 1)*(x + 1)
Let w = 2681 + -2678. Suppose -x + 20 = 5*s, 9 = -x + 2*s + 1. Determine u so that 2/9*u - 2/9*u**w - 2/9*u**2 + 2/9*u**4 + x = 0.
-1, 0, 1
Let b(w) be the second derivative of -3*w**5/16 - 7*w**4/16 - w**3/4 - 16*w. Find s, given that b(s) = 0.
-1, -2/5, 0
Let o(u) be the first derivative of 2*u**5/45 + u**4/6 + 2*u**3/27 - u**2/3 - 4*u/9 + 43. Let o(m) = 0. Calculate m.
-2, -1, 1
Suppose 0 = -3*f - 5*i + 24, 16*f + 5*i = 19*f + 6. What is t in 16/9*t**f + 0 + 0*t + 2/3*t**4 + 8/9*t**2 = 0?
-2, -2/3, 0
Let c = 18/149 - -208/745. Suppose 0 = -3*g, 2 + 8 = 2*f - g. Factor 0*s**3 - 4/5*s**4 + 2/5*s - c*s**f + 4/5*s**2 + 0.
-2*s*(s - 1)*(s + 1)**3/5
Let r(t) be the second derivative of -t**4/48 + t**3/4 + 55*t**2/8 - 5*t - 40. Factor r(b).
-(b - 11)*(b + 5)/4
Suppose 21 + 14 = 2*w - f, 0 = w + 4*f - 40. Factor -9*j - 12*j**2 + j + 14 + w*j**3 - 14.
4*j*(j - 1)*(5*j + 2)
Suppose -8 = -4*m + 16. Suppose 4*p - 7*p + m = 0. Factor -2*t**p + 6*t - 4*t + t - 3*t**3 + 3 - t**2.
-3*(t - 1)*(t + 1)**2
Let o = 1672 + -518. Solve -o*f - 3*f**2 + 1154*f - 12*f**4 + 15*f**3 = 0 for f.
0, 1/4, 1
Let y(v) be the second derivative of -v**5/190 + 3*v**4/38 + 7*v**3/19 + 11*v**2/19 + 93*v. Let y(x) = 0. What is x?
-1, 11
Let z(a) be the second derivative of 32*a + 0*a**3 + 5/48*a**4 + 0 - 5/2*a**2. Suppose z(d) = 0. What is d?
-2, 2
Let a(t) be the firs