11*k + 4/11*k**2 + 2/11*k**3 = 0.
-1, 0
Suppose 0 - 2 = -2*g. Let w = g - -1. Let -w*j**3 + 4*j**2 - 32*j**4 + 8*j**4 + 14*j**5 + 8*j**3 = 0. Calculate j.
-2/7, 0, 1
Let y(j) be the first derivative of -1/2*j**4 - 5 + 3*j**2 - 4*j + 0*j**3. Determine s, given that y(s) = 0.
-2, 1
Suppose -5*y = -3*h + 19, -5*y - 16 = -6. Solve -1 - 1/3*d**h - 7/3*d - 5/3*d**2 = 0 for d.
-3, -1
Let d(u) be the third derivative of -u**8/224 + u**7/210 + u**6/80 - u**5/60 - 44*u**2. Find b such that d(b) = 0.
-1, 0, 2/3, 1
Let l(z) = 2*z**3 + 3*z**2 - 3. Let c(u) = -u**2 - 8*u - 8. Let v be c(-6). Let s(q) = 2*q**3 + 4*q**2 - 4. Let p(i) = v*l(i) - 3*s(i). Solve p(h) = 0.
0
Let g(k) be the third derivative of k**7/490 - k**6/280 - k**5/70 + 30*k**2. Factor g(w).
3*w**2*(w - 2)*(w + 1)/7
Let p(y) be the second derivative of -y**6/105 + 3*y**5/35 - 2*y**4/7 + 10*y**3/21 - 3*y**2/7 + 7*y. Factor p(l).
-2*(l - 3)*(l - 1)**3/7
Let k(r) be the first derivative of -4*r**5 + 32*r**4 - 16*r**3 - 35. Factor k(y).
-4*y**2*(y - 6)*(5*y - 2)
Let d(t) be the first derivative of t**6/480 - t**5/120 + t**2 - 3. Let u(s) be the second derivative of d(s). Determine q so that u(q) = 0.
0, 2
Let y(t) be the third derivative of -t**7/2520 + t**6/360 - t**5/180 + t**3/6 - 2*t**2. Let j(o) be the first derivative of y(o). Let j(d) = 0. Calculate d.
0, 1, 2
Let j = 42 - 38. Let q be ((-1)/(-2))/((-15)/(-10)). Factor -1/3*u - 1/3*u**j + q*u**2 + 1/3*u**3 + 0.
-u*(u - 1)**2*(u + 1)/3
Suppose 2*c - 2*l - 2 = 0, -l + 13 = 5*c + 2*l. Factor -2 - z**2 + 3*z**c + 0*z**2.
2*(z - 1)*(z + 1)
Let p = -40 + 45. Suppose -3*g + 2*z + 28 = 0, -5*g = -0*z + 5*z - 5. Find w such that 2*w**4 - 4*w**5 + g*w**p - 3*w**5 = 0.
0, 2
What is p in p**4 - 9*p**2 + 6*p**2 + 0*p**2 + 2*p**2 = 0?
-1, 0, 1
Let y(n) = -n**3 - 6*n**2 - n - 3. Let d be y(-6). Let t = 6 - d. Factor -6*u**t - 2*u + 2*u**2 + 2*u.
-2*u**2*(3*u - 1)
Suppose 1/2*i - 1/4*i**2 + 0 - 1/4*i**3 = 0. What is i?
-2, 0, 1
Suppose -3*g - 15 = -3*x, -2*x + 3*g + 9 = -5*x. Let h be (-3 + 1)/(-8*x). Solve 0*l + h*l**2 + 1/4*l**4 + 0 - 1/2*l**3 = 0 for l.
0, 1
Let u(r) be the third derivative of 0 + 0*r**5 + 0*r**3 + 1/1512*r**8 - 2/945*r**7 + 0*r - 6*r**2 + 0*r**6 + 0*r**4. Factor u(w).
2*w**4*(w - 2)/9
Solve -2/11*h**5 - 2/11*h**3 + 0*h + 0*h**2 + 0 + 4/11*h**4 = 0 for h.
0, 1
Factor -c**5 - 1326*c - 2*c**3 + 3*c**4 + 1326*c.
-c**3*(c - 2)*(c - 1)
Let a(c) = -c**3 - 12*c**2 - 10*c + 14. Let h be a(-11). Suppose 4*z = -2*l + 22, 0*l = -h*z + 5*l - 16. Factor 3*u**2 + 2*u**2 + 4*u + u**2 + 2*u**z.
2*u*(u + 1)*(u + 2)
Let j = 44/27 - 4/3. Let n = -2/189 + j. What is m in 0*m + 2/7 + 0*m**3 + n*m**4 - 4/7*m**2 = 0?
-1, 1
Let m(j) be the first derivative of j**7/105 + j**6/75 + j - 1. Let w(f) be the first derivative of m(f). Factor w(d).
2*d**4*(d + 1)/5
Solve 3/5 + 1/5*f**2 - 4/5*f = 0 for f.
1, 3
Let t(v) be the first derivative of 2 + 2*v**2 + 1/70*v**5 + 0*v**3 + 0*v + 0*v**4 + 1/280*v**6. Let g(h) be the second derivative of t(h). Factor g(s).
3*s**2*(s + 2)/7
Let k be (170/20)/((-1)/(-2)). Let o = -14 + k. Factor -2/3*f**o + 0 + 0*f**2 + 2/3*f**4 + 0*f.
2*f**3*(f - 1)/3
Suppose 4*u + 2*m + 2*m = 0, 5*u - 16 = 3*m. Find h, given that 0*h**2 - u*h**3 - h**2 + 3*h**3 - 2*h**3 = 0.
-1, 0
Let z(a) be the third derivative of 3*a**2 + 1/15*a**5 + 0*a**4 + 0*a**3 + 0 + 0*a. Find n, given that z(n) = 0.
0
Let t(d) = 14*d. Let v be t(-1). Let r be ((-6)/(-8))/((-21)/v). Factor 0*i - r*i**3 + 1/2*i**5 + 0 - 1/2*i**2 + 1/2*i**4.
i**2*(i - 1)*(i + 1)**2/2
Factor 3*x - 5/2*x**2 - 1/2.
-(x - 1)*(5*x - 1)/2
Let o(p) = -p**2 + 16*p + 10. Let w be o(10). Let r = -488/7 + w. Factor -4/7*u**3 + r*u**2 + 0 + 0*u + 2/7*u**4.
2*u**2*(u - 1)**2/7
Determine u, given that 0 - 6/5*u + 2/5*u**2 = 0.
0, 3
Let n(a) = 2*a**3 - 2*a**2 + a. Let g(o) = -o**3 - o. Let k(b) = 5*g(b) + 5*n(b). Let k(z) = 0. What is z?
0, 2
Let v(s) be the third derivative of 3/100*s**6 + 1/105*s**7 + 0*s**3 + 0*s + 7/150*s**5 + 1/840*s**8 + 4*s**2 + 1/30*s**4 + 0. Factor v(b).
2*b*(b + 1)**3*(b + 2)/5
Let w(i) = 23*i - 506. Let u be w(22). Solve -7/4*a**4 + u + 5/4*a**3 + a + 4*a**2 = 0.
-1, -2/7, 0, 2
Suppose -2 = -2*w - 8. Let p = 0 - w. Let -8/3 - 38/3*n**2 - 1/3*n**5 - 8/3*n**4 - 25/3*n**p - 28/3*n = 0. What is n?
-2, -1
Suppose -3*k + p = -4*p + 25, 5*k = -5*p + 25. Let g be (-2)/(-4)*(4 + k). Factor 0*q**g + 5*q**2 + 5*q**2 - 4*q + 14*q**3.
2*q*(q + 1)*(7*q - 2)
Factor 9*x**2 + 4*x**4 - 9*x**2.
4*x**4
Let h(p) be the second derivative of p**5/170 - p**4/51 + p**3/51 + 38*p. Suppose h(v) = 0. What is v?
0, 1
Let h(i) be the first derivative of i**4/8 - i**3/6 + 8. Determine v so that h(v) = 0.
0, 1
Let m = -128 + 132. Factor t**3 - 1/2*t**5 + 1/2*t**m - t**2 + 1/2 - 1/2*t.
-(t - 1)**3*(t + 1)**2/2
Let g be ((-11)/(-33))/((-10)/(-12)). Let y(a) be the first derivative of 0*a**4 + 0*a + 2/3*a**3 - 1/2*a**2 - g*a**5 + 1/6*a**6 + 2. Factor y(c).
c*(c - 1)**3*(c + 1)
Let i(p) = 25*p**3 + 25*p**2 + 9*p - 9. Let c(t) = -6*t**3 - 6*t**2 - 2*t + 2. Let o(z) = 9*c(z) + 2*i(z). Factor o(x).
-4*x**2*(x + 1)
Let u be ((-36)/(-16))/(9/24). Suppose 8*g = u*g. Solve 0*x + 0*x**2 - 2/5*x**4 + 0 + g*x**3 = 0.
0
Find k such that -10*k**4 + 5*k**2 + 15*k**5 - 9*k**4 + 14*k**4 - 15*k**3 = 0.
-1, 0, 1/3, 1
Let c be (-1)/5 - (-130)/25. Solve -2*p**5 + 2*p**3 - 3*p**3 + 3*p**3 + 2*p**4 + 3*p**2 - c*p**2 = 0 for p.
-1, 0, 1
Let n be 50/15 - (0 - 3/(-1)). Find g such that 1/6*g**2 + 0 - n*g = 0.
0, 2
Let g = 3 + 9. Suppose -3*q + g = 3. Factor q*c**3 + 0*c**3 - 4*c**3.
-c**3
Let n(o) be the second derivative of o**6/15 + 17*o**5/10 + 35*o**4/2 + 275*o**3/3 + 250*o**2 + 29*o. Factor n(j).
2*(j + 2)*(j + 5)**3
Suppose 3*b - 121 + 26 = 4*o, -2*b + 78 = o. Factor 6*n**3 - b*n**4 + 38*n**4 + 4*n**2 + 9*n**2 + 4 + 12*n.
(n + 1)**2*(n + 2)**2
Let v = -11 + 16. Let b(d) = -d**3 + 5*d**2 + d - 5. Let t be b(v). Find q, given that -6 - q**2 - q + 6 + t*q = 0.
-1, 0
Let q = -2 + 19/3. Suppose 2/3*u**2 + 7*u**4 + q*u**3 + 0 + 0*u = 0. What is u?
-1/3, -2/7, 0
Let f(y) be the first derivative of -3 - 3/10*y**5 + 3*y - 9/8*y**4 + 9/4*y**2 - 1/2*y**3. Solve f(r) = 0.
-2, -1, 1
Factor 4/13*s**2 - 2/13*s - 2/13*s**5 + 4/13*s**3 - 2/13*s**4 - 2/13.
-2*(s - 1)**2*(s + 1)**3/13
Let h be 32/12 + (-6)/9. Suppose l - 3*w = -6, 3*w = -4*l + 2 + 4. Let 0*o**h + l*o - 1/4*o**5 + 0*o**4 + 1/4*o**3 + 0 = 0. Calculate o.
-1, 0, 1
Suppose 5*o - 2*o + m - 17 = 0, 4*m = 5*o. Let j = -16 - -86/5. Let -j*s**o + 4/5*s**2 - 4/5*s**3 + 2/5 + 6/5*s - 2/5*s**5 = 0. Calculate s.
-1, 1
Factor 28*y - 29 - 34 + 39 - 4*y**2.
-4*(y - 6)*(y - 1)
Let w(n) be the third derivative of n**7/840 + n**6/160 + n**5/240 - n**4/32 - n**3/12 + 7*n**2. Determine g, given that w(g) = 0.
-2, -1, 1
What is h in 3 + 18*h + 16*h + 3*h**2 - 28*h = 0?
-1
Solve -20/3*n + 50/3 + 2/3*n**2 = 0.
5
Let q(o) be the first derivative of -9*o**4/2 - 14*o**3 - 16*o**2 - 8*o - 29. Factor q(v).
-2*(v + 1)*(3*v + 2)**2
Suppose 2*b - 3 = -1. Let p(q) be the first derivative of -1/18*q**6 + 0*q - 1/2*q**4 + 4/9*q**3 + 4/15*q**5 - 1/6*q**2 - b. Solve p(z) = 0.
0, 1
Let c(v) be the third derivative of -v**5/420 + v**4/168 + 7*v**2. Find y such that c(y) = 0.
0, 1
Let q(d) be the first derivative of d**6/30 + 4*d**5/5 + 8*d**4 + 128*d**3/3 + 128*d**2 + 1024*d/5 - 10. Solve q(h) = 0.
-4
Let t(y) be the second derivative of 3*y**5/10 + y**4/6 - 9*y. Determine w, given that t(w) = 0.
-1/3, 0
Let u(s) be the second derivative of -s**6/60 + s**4/4 - 2*s**3/3 - s**2 - 3*s. Let p(k) be the first derivative of u(k). Let p(g) = 0. What is g?
-2, 1
Let a(v) be the third derivative of 2*v**7/15 - v**6/15 - 40*v**2. What is b in a(b) = 0?
0, 2/7
Let r be 2/(-2) + 2 + 2. Suppose r*w**4 + 8*w - 2*w**4 - 8*w = 0. Calculate w.
0
Let v be 2/(-28)*-46 - 1. Let t = v - 66/35. Factor 0*x + 2/5*x**3 - 2/5*x**5 + 0 - t*x**4 + 2/5*x**2.
-2*x**2*(x - 1)*(x + 1)**2/5
Factor -8*v**4 + 10*v**2 - 4 - 1 + 3*v**4.
-5*(v - 1)**2*(v + 1)**2
Let h = -66 + 66. Let r(o) be the first derivative of 2 - 2/25*o**5 + h*o + 2/15*o**3 + 1/10*o**4 - 1/5*o**2. Suppose r(f) = 0. What is f?
-1, 0, 1
Suppose 0 - 1/4*k**2 - 1/2*k + 1/2*k**3 + 1/4*k**4 = 0. What is k?
-2, -1, 0, 1
Let g(k) be the third derivative of 0*k**4 + 1/105*k**7 + 0*k**3 + 0 