s(c) be the third derivative of -c**7/210 + c**5/30 - c**3/6 + 3*c**2 - 14*c. Find x such that s(x) = 0.
-1, 1
Find s such that 5/7*s**3 + 2/7 + 9/7*s + 12/7*s**2 = 0.
-1, -2/5
Let v(h) be the second derivative of -1/12*h**4 + 0 + 1/6*h**3 + 0*h**2 - h + 1/30*h**6 - 1/20*h**5. Determine k, given that v(k) = 0.
-1, 0, 1
Factor -2/13*i**2 + 6/13*i + 0.
-2*i*(i - 3)/13
Let z(o) = 2*o**2 - 2*o - 12. Suppose 0 = -4*u - 5*n - 5, -4*n - 25 = -u. Let v(d) = d**2 - d - 5. Let b(x) = u*z(x) - 12*v(x). Factor b(g).
-2*g*(g - 1)
Let k(a) be the second derivative of a**2 - 7/30*a**5 + 0 + 4/3*a**4 - a - 4/3*a**3. Let o(g) be the first derivative of k(g). Factor o(f).
-2*(f - 2)*(7*f - 2)
Suppose 0*q - q = 0. Suppose 2/5*m**3 + q - 2/5*m**4 + 0*m + 2/5*m**2 - 2/5*m**5 = 0. Calculate m.
-1, 0, 1
Find o such that -2/5*o**2 + 4/5*o + 0 = 0.
0, 2
Let s be (-1*(-2)/15)/(12/15). Factor 0 - 1/2*p**2 + s*p**3 + 1/3*p.
p*(p - 2)*(p - 1)/6
Let u = 10 - 14. Let h be -4 - (23/u - -1). What is p in h + 3/4*p**3 + 9/4*p + 9/4*p**2 = 0?
-1
Let x = 1 + 2. Factor x*g - 3*g**4 + 2*g**4 - 9*g**3 - 5*g**4.
-3*g*(g + 1)**2*(2*g - 1)
Let r(g) = g + 8. Let c be r(-6). Let n = 8 + c. Let -h**2 - n*h - 7 + 4*h - 2 = 0. What is h?
-3
Let n(g) be the first derivative of 2*g**5/25 - 2*g**3/15 + 4. Let n(j) = 0. What is j?
-1, 0, 1
Let x(u) = 339*u**3 - 233*u**2 - 96*u - 9. Let t(k) = -k**3 - k**2 + 1. Let g(i) = -2*t(i) - 2*x(i). Determine w so that g(w) = 0.
-2/13, 1
Let r(o) = o**3 + 6*o**2 + o + 10. Let f be r(-6). Find u such that -12 + 4*u**2 - f + u + 11*u = 0.
-4, 1
Let t(s) be the second derivative of -s**7/7 + s**6/10 + 21*s**5/20 - 7*s**4/4 - s**3/2 + 3*s**2 - 3*s. Find h such that t(h) = 0.
-2, -1/2, 1
Find s, given that 2*s**2 + 2*s**2 + 6*s**3 + 5*s**3 - 4*s - 7*s**3 - 4 = 0.
-1, 1
Factor 224*p**3 - 34*p - 220*p**3 + 23*p**2 + 3 + 4.
(p - 1)*(p + 7)*(4*p - 1)
Let u(c) be the second derivative of c**6/135 - 2*c**5/45 + c**4/18 + 4*c**3/27 - 4*c**2/9 + 11*c. Find l such that u(l) = 0.
-1, 1, 2
Suppose -3*r + 4*r - 3 = 0. Factor 6*i + 2*i + 2*i**r - 10*i.
2*i*(i - 1)*(i + 1)
Let o(x) be the first derivative of -50*x**6/9 - 4*x**5/3 + 16*x**4/3 - 16*x**3/9 + 2. Determine p so that o(p) = 0.
-1, 0, 2/5
Let d = -11/2 - -7. Factor 1/2 - 3/2*r + d*r**2 - 1/2*r**3.
-(r - 1)**3/2
Let x(t) be the third derivative of t**11/332640 - t**9/60480 + t**5/6 + 6*t**2. Let f(u) be the third derivative of x(u). Determine r, given that f(r) = 0.
-1, 0, 1
Suppose -3*s + s = -3*g - 9, -51 = -3*s - 3*g. Let d(c) = 13*c**2 + 16*c + 5. Let o(w) = -32*w**2 - 40*w - 12. Let n(k) = s*d(k) + 5*o(k). Factor n(u).
-4*u*(u + 2)
Let f be (3 - 9)*(-1)/3. Find z, given that 2 - 3*z + 2 - 6 - f*z - 3*z**2 = 0.
-1, -2/3
Let s(i) be the second derivative of 1/420*i**5 + 0 - 1/3*i**3 + 0*i**2 + i - 1/420*i**6 + 1/42*i**4. Let t(y) be the second derivative of s(y). Factor t(o).
-2*(o - 1)*(3*o + 2)/7
Let -11*v**2 - 4*v**3 - 20*v + 12*v - v**2 = 0. What is v?
-2, -1, 0
Let h(y) be the third derivative of 0*y**4 + 0*y + 1/360*y**6 - 4*y**2 + 0 + 2/9*y**3 - 1/60*y**5. What is r in h(r) = 0?
-1, 2
Let d(v) be the second derivative of 0*v**4 - 1/90*v**5 + 0*v**2 + 0 - 1/135*v**6 + 0*v**3 + v. Solve d(p) = 0.
-1, 0
Let n = -3 + 4. Let k(g) be the first derivative of -1/16*g**4 + 0*g**2 + n + 1/24*g**6 + 0*g - 1/12*g**3 + 1/20*g**5. Let k(w) = 0. Calculate w.
-1, 0, 1
Let n(j) = 4*j**3 + 36*j**2 + 32*j - 24. Let l(w) = -w**2 - w + 1. Let p(r) = 24*l(r) + n(r). Factor p(b).
4*b*(b + 1)*(b + 2)
Let n = -52963/20 - -2646. Let v = 12/5 + n. Factor 33/4*a**3 + v*a + 4*a**5 - 10*a**4 - 5/2*a**2 + 0.
a*(a - 1)**2*(4*a - 1)**2/4
Let t(w) = 2*w + 8. Let n(j) = -j - 4. Let y(f) = -7*n(f) - 3*t(f). Let i be y(-4). Let 10/7*a**2 + 4/7*a + i = 0. What is a?
-2/5, 0
Factor -2/13*g**3 + 2/13*g**4 + 0*g + 0 + 0*g**2.
2*g**3*(g - 1)/13
Let a = -190367 - -1335086/7. Let g = -359 + a. Factor 4/7*u**2 - 6/7*u**4 - 6/7*u + g*u**3 + 2/7 + 2/7*u**5.
2*(u - 1)**4*(u + 1)/7
Let k = 5 - 3. Find b, given that 0*b**3 + 0*b**3 - 3*b**3 + b**3 + k*b = 0.
-1, 0, 1
Let u(p) be the first derivative of -p**5/80 + p**3/24 - 7*p + 8. Let v(s) be the first derivative of u(s). Factor v(i).
-i*(i - 1)*(i + 1)/4
Let o(u) = -u**3 + 9*u**2 + 2. Let h be o(9). Factor -v**2 + 7*v**3 - 3*v**3 - v**3 - h*v**2.
3*v**2*(v - 1)
Let d(g) = -g**3 + 5*g**2 + 3. Suppose 0 = 2*o - 0*h - 4*h - 16, 0 = 2*o + 4*h. Let p(a) = a**3 - 6*a**2 - 4. Let q(c) = o*d(c) + 3*p(c). Factor q(i).
-i**2*(i - 2)
Suppose -1835*d**5 + 4*d**3 + 0*d**2 - 4*d**4 + 4*d**2 + 1831*d**5 = 0. Calculate d.
-1, 0, 1
Let v(a) be the first derivative of 2*a**5/55 + 3*a**4/22 + 2*a**3/11 + a**2/11 - 5. Let v(w) = 0. What is w?
-1, 0
Let b be 176/77 + 2 + (-32)/14. Let g(l) be the third derivative of -2*l**b + 0 - 1/60*l**5 + 0*l + 0*l**3 + 1/12*l**4. Factor g(a).
-a*(a - 2)
Solve -9*i - 2*i**5 + 18*i - 7*i - 4*i**4 + 4*i**2 = 0 for i.
-1, 0, 1
Let o(y) be the third derivative of y**8/1344 - y**7/126 + y**6/30 - 3*y**5/40 + 29*y**4/288 - y**3/12 - 24*y**2. Let o(n) = 0. What is n?
2/3, 1, 3
Let x(q) be the third derivative of q**6/420 - q**5/21 + 11*q**4/28 - 12*q**3/7 - 4*q**2. Determine a, given that x(a) = 0.
3, 4
Let g(q) = -3*q. Let p be g(-1). What is t in 3*t**2 - p - 2*t + t + t = 0?
-1, 1
Suppose l = -0 + 3. Factor -3*c**4 + 5*c**5 + c**2 + c**2 - l*c**5 + c**4 - 2*c**3.
2*c**2*(c - 1)**2*(c + 1)
Suppose 3*m + 7 = 19. Let g(q) be the second derivative of 0*q**2 + 0*q**3 + 1/6*q**m - 1/10*q**5 + 2*q + 0. Factor g(c).
-2*c**2*(c - 1)
Let l(x) be the third derivative of -x**8/1680 + x**7/150 - 11*x**6/600 + x**5/60 - 21*x**2. Solve l(z) = 0.
0, 1, 5
Let o be -3*2/(-4)*(-328)/(-574). Suppose 4/7 + o*u + 2/7*u**2 = 0. Calculate u.
-2, -1
Let l be 1/(-2)*-1*(-44)/(-66). Let -2/3 + l*a**3 - 4/3*a**2 + 5/3*a = 0. What is a?
1, 2
Let w(m) = 2*m**3 + 2*m**2 - 1. Let f be w(1). Factor -j**2 + 0*j**3 - 8*j**4 + 7*j**4 - 2*j**f.
-j**2*(j + 1)**2
Let y = -8 + 10. Factor y*w**2 - 6*w - 4*w**4 - 2*w**3 + 6*w.
-2*w**2*(w + 1)*(2*w - 1)
Let w(v) = -v**2 - v. Let d(i) = -7*i**2 + 2*i - 16. Let c(z) = d(z) - 6*w(z). Solve c(b) = 0.
4
Let q(s) be the second derivative of -s**5/130 + 2*s**4/39 + s**3/39 - 4*s**2/13 - 9*s. Suppose q(a) = 0. Calculate a.
-1, 1, 4
Factor 6 + 5*w**2 - 7 - 10*w + 6 + 0.
5*(w - 1)**2
Suppose 4*b = -2*d + 12, 2*d + 5*b = 15 - 2. Let h(w) be the first derivative of -3/2*w**2 + 2 + 3/4*w**d + 2/3*w**3 - 2*w. Find n such that h(n) = 0.
-1, -2/3, 1
Determine s so that -2*s**3 - 2/3*s**2 - 2/3*s**5 - 2*s**4 + 0*s + 0 = 0.
-1, 0
Let z(y) be the third derivative of y**8/33600 - y**6/3600 + y**4/12 - 4*y**2. Let i(t) be the second derivative of z(t). Factor i(o).
o*(o - 1)*(o + 1)/5
Let y(d) be the first derivative of -3*d**5/20 - d**4/4 - 2*d + 4. Let n(p) be the first derivative of y(p). Let n(t) = 0. Calculate t.
-1, 0
Let v(z) = -5*z**2 + 13*z + 4. Let p(n) = 2*n**2 - 6*n - 2. Let w(h) = 14*p(h) + 6*v(h). Suppose w(g) = 0. What is g?
-2, -1
Let y(n) be the third derivative of n**7/420 + n**6/80 - n**5/40 - 11*n**4/48 - n**3/2 + 16*n**2. Suppose y(s) = 0. Calculate s.
-3, -1, 2
Let x(r) be the second derivative of -5*r**4/12 - 10*r**3/3 - 10*r**2 + 3*r. Let x(u) = 0. Calculate u.
-2
Let p(t) be the second derivative of -3*t**8/560 + t**7/280 + t**6/60 + 5*t**3/6 - 2*t. Let y(x) be the second derivative of p(x). Let y(f) = 0. What is f?
-2/3, 0, 1
Let g be (-2 + 6/4)*8. Let q be (-4)/(22 - 2)*g. Factor -2/5*h**2 - q*h + 0.
-2*h*(h + 2)/5
Suppose 0 = -5*n + 23 + 2. Determine u so that 5*u**3 + n*u**2 - 3*u**3 + 2 + 6*u + u**2 = 0.
-1
Let y(q) be the third derivative of 0*q - 1/60*q**5 + q**2 + 0 + 0*q**3 + 1/12*q**4. Let y(r) = 0. What is r?
0, 2
Let o(d) = -d**2 + 8*d + 13. Let s be o(9). Determine f so that 15*f**5 + 6*f**s - 4*f - 15*f**3 - 6*f**2 + 4*f = 0.
-1, -2/5, 0, 1
Suppose 23*f**2 + 24*f**4 - 92*f**4 + 24*f**5 - 20*f**3 + f**2 = 0. Calculate f.
-2/3, 0, 1/2, 3
Suppose -b + 5 = -0*b. Suppose -d - q + 2 = -3, -b*d + 7 = -q. Determine h, given that -4*h**3 + 2*h**3 + h**3 - h - 2*h**d = 0.
-1, 0
Let h(x) be the third derivative of x**8/30240 - x**7/7560 + x**5/60 + 4*x**2. Let r(n) be the third derivative of h(n). Suppose r(a) = 0. Calculate a.
0, 1
Factor 24 - 34 - 12*z - 25*z**5 - 110