4*n**3 - 1 = 0. Calculate n.
-2, -1, 1
Suppose -w = 4*w - 5*n + 10, w - 4*n + 17 = 0. Factor 9*v**3 + v - 3*v**2 - w*v**4 - 2*v**2 - 2*v**3.
-v*(v - 1)**2*(3*v - 1)
Let q(b) be the third derivative of 0*b - 5/224*b**8 + 5*b**2 + 0*b**3 + 0*b**4 + 0 - 11/140*b**7 - 7/80*b**6 - 1/40*b**5. Factor q(z).
-3*z**2*(z + 1)**2*(5*z + 1)/2
Let a(r) be the third derivative of r**6/72 - r**5/60 - r**4/36 - 12*r**2. Suppose a(b) = 0. What is b?
-2/5, 0, 1
Let l(i) be the second derivative of i**5/20 + i**4/12 - 5*i**3/6 + 3*i**2/2 - 4*i. Suppose l(t) = 0. Calculate t.
-3, 1
Factor 0 + 1/2*y + 1/2*y**2.
y*(y + 1)/2
Let u(n) be the first derivative of n**3/12 - 3*n**2/8 - n - 13. Factor u(w).
(w - 4)*(w + 1)/4
Let p be 12/(-30) - (-2)/5. Solve q**3 + 1/3*q**2 + 1/3*q**5 + p + q**4 + 0*q = 0 for q.
-1, 0
Let m(g) = g**2 + 9*g - 14. Let w be m(-11). Suppose 0 = -r + 4*s - 2*s - w, -s + 4 = -r. Factor 0 - 2/5*i**2 + 2/5*i**3 + r*i.
2*i**2*(i - 1)/5
Let j(u) = u**3 - 6*u**2 - 6*u - 5. Let q be j(7). Factor q*a**5 - a**2 - 6*a**3 - a**4 + 2*a - 4 + 4.
a*(a - 2)*(a + 1)**2*(2*a - 1)
Let h(x) be the first derivative of -x**7/210 - x**6/30 - x**5/12 - x**4/12 - 2*x**2 + 4. Let q(w) be the second derivative of h(w). Factor q(v).
-v*(v + 1)**2*(v + 2)
Suppose -a - 46 = -3*a. Suppose -10 = 3*s - s, f - 4*s - a = 0. Let -x + 2*x**4 - 4*x**f + x**5 + 4*x**3 - 2*x**2 = 0. What is x?
-1, 0, 1
Let g(o) = 4*o**3 + 5*o**2 + 5*o - 4. Let s(k) = 4*k**3 + 5*k**2 + 6*k - 5. Suppose -5*f - 25 = -10*f. Let a(w) = f*g(w) - 4*s(w). Suppose a(l) = 0. What is l?
-1, -1/4, 0
Let y = 10 + -7. Find c, given that -4 + 4 + y*c**3 - 3*c = 0.
-1, 0, 1
Let u(p) be the first derivative of p**5/22 + p**4/12 + 2*p**3/33 - 2*p**2 - 1. Let a(s) be the second derivative of u(s). Solve a(k) = 0.
-2/5, -1/3
Factor 26*w**4 - 4*w**5 - 2*w**5 - 3*w - 18*w**3 + 7*w - 4*w**5 - 2*w**2.
-2*w*(w - 1)**3*(5*w + 2)
Let c = 33 - 33. Let u(p) be the second derivative of 0*p**3 + c - 1/8*p**2 - 2*p + 1/48*p**4. Factor u(x).
(x - 1)*(x + 1)/4
Factor 63/2*r**3 - 14*r + 31/2*r**2 + 2.
(r + 1)*(7*r - 2)*(9*r - 2)/2
Let q be (14/3)/(6/108). Let i be 4/(-10) - q/(-35). Factor 2*v**i - 2*v**2 - 3*v**2 + 6*v.
-3*v*(v - 2)
Let m(h) = h**2 + 19*h + 62. Let i be m(-15). Factor 1/3*c**i + 1/3*c + 0.
c*(c + 1)/3
Determine s so that -24*s**2 - 9*s**3 - 12*s + 9*s**3 - 9*s**3 = 0.
-2, -2/3, 0
Let f be 236/48 + (-4)/16. Determine b so that 22/3*b**2 + 32/3*b**3 + 0 + f*b**4 + 4/3*b = 0.
-1, -2/7, 0
Let h(j) = 3*j**3 - 3*j**2 - 2*j + 2*j**2 - 3*j**2 + 5*j**2. Let c(q) = -10*q**3 - 3*q**2 + 7*q. Let w(p) = -2*c(p) - 7*h(p). Factor w(f).
-f**2*(f + 1)
Let i(h) be the first derivative of 9/4*h**4 - 3*h**3 - 5 - 3/5*h**5 + 0*h + 3/2*h**2. Let i(p) = 0. Calculate p.
0, 1
Let i(w) be the second derivative of 2/3*w**3 + 3*w + 2*w**2 + 0 - 1/4*w**4. Factor i(o).
-(o - 2)*(3*o + 2)
Suppose 0 = 3*z + z - 12. Let w(c) be the first derivative of 0*c**5 - z + 0*c - 1/4*c**4 + 0*c**2 + 1/6*c**6 + 0*c**3. Suppose w(q) = 0. What is q?
-1, 0, 1
Suppose -18 = 69*p - 75*p. Let l(t) be the third derivative of -1/30*t**5 + 0*t - 1/24*t**4 + 2*t**2 + 0 - 1/120*t**6 + 0*t**p. Find x, given that l(x) = 0.
-1, 0
Let k(f) be the third derivative of f**7/8820 + f**6/1260 + f**5/420 - 5*f**4/24 + 2*f**2. Let w(d) be the second derivative of k(d). Factor w(c).
2*(c + 1)**2/7
Let i = 67 - 62. Let x(y) be the first derivative of 3/2*y**2 - i + 6*y - y**3. Let x(d) = 0. Calculate d.
-1, 2
Let k = 6 - 3. Suppose -4*c = 5*l + 2, -4*l - l = k*c + 4. Factor 4*u**3 - u**4 - 2*u**3 + c*u**4 + u**2.
u**2*(u + 1)**2
Let a be 27/30 - 2/4. Factor a + 4/5*f - 4/5*f**3 - 2/5*f**4 + 0*f**2.
-2*(f - 1)*(f + 1)**3/5
Let p(w) be the second derivative of 25*w**7/126 + 5*w**6/6 - 29*w**5/60 - 29*w**4/12 + 2*w**3/9 + 2*w**2 - 20*w. Suppose p(u) = 0. Calculate u.
-3, -1, -2/5, 2/5, 1
Let b(p) be the first derivative of -p**5/15 + 5*p**3/9 - 4*p/3 - 9. Let b(u) = 0. Calculate u.
-2, -1, 1, 2
Suppose -3 = -4*u + 9. Let t be (0 - 7/(-2))*18/14. Solve -3/2*m**4 - 3/2*m**2 + t*m**u - 9/2*m + 3 = 0 for m.
-1, 1, 2
Suppose -4*o**3 - o**2 + 2*o**3 + 8 - 7*o**2 + o + o**3 = 0. What is o?
-8, -1, 1
Let b be (-1 + 3 + -2)*-1. Let m(y) be the third derivative of -1/60*y**6 + 1/30*y**5 + b*y - 1/3*y**3 + 1/12*y**4 + 0 - 2*y**2. Let m(k) = 0. Calculate k.
-1, 1
Let t(x) = -8*x**2 - 4*x. Let k(p) = -7*p**2 - 4*p. Let d(h) = -4*k(h) + 3*t(h). Solve d(j) = 0.
-1, 0
Let d(a) = a - 17. Let m be d(17). Let v(o) be the first derivative of -1 - 2/5*o**5 + 0*o + 3/2*o**4 + m*o**2 - 4/3*o**3. Factor v(w).
-2*w**2*(w - 2)*(w - 1)
Let y(v) be the first derivative of -v**5/50 + v**4/15 - v**3/15 - 2*v + 3. Let n(x) be the first derivative of y(x). Factor n(h).
-2*h*(h - 1)**2/5
Let y(c) = -6*c**2 + 21*c - 15. Let o(f) = f**2 - 3*f + 2. Let q(x) = -27*o(x) - 4*y(x). Factor q(p).
-3*(p - 1)*(p + 2)
Suppose -6*j + j + 29 = 4*t, 0 = 3*t - 4*j - 45. Suppose g = r + 6, -t - 5 = -2*g + 4*r. Let 0*l - 2/9*l**g - 2/3*l**3 + 2/3*l**5 + 0 + 2/9*l**2 = 0. What is l?
-1, 0, 1/3, 1
Suppose -4*d = 9*d - 12*d. Suppose d - 2/5*w**2 - 2/5*w = 0. What is w?
-1, 0
Let r(n) be the first derivative of n**5/30 + n**4/8 + n**3/18 - n**2/4 - n/3 - 8. Determine d so that r(d) = 0.
-2, -1, 1
Let a(q) = -q**2 + q + 16. Let o be a(-3). Find i such that -26/9*i**2 - 8/3*i - 4/3*i**3 - 8/9 - 2/9*i**o = 0.
-2, -1
Factor -84*r**2 + 92*r**2 - 10*r + 2*r - 3*r**3 + r**3.
-2*r*(r - 2)**2
Let u(l) be the first derivative of -2*l**3/3 - l**2 - 6. Factor u(s).
-2*s*(s + 1)
Suppose 6*c = 4*c. Let b = c - -3. Suppose q**2 - b*q**2 - q - q + 0*q**2 = 0. Calculate q.
-1, 0
Let i(d) be the first derivative of -3*d**5/20 - 7*d**4/8 + 2*d**3/3 + 7*d**2/4 - 5*d/4 + 31. Determine m, given that i(m) = 0.
-5, -1, 1/3, 1
Let z(i) be the second derivative of i**6/75 - 7*i**5/50 + 17*i**4/30 - 17*i**3/15 + 6*i**2/5 + 20*i - 1. Factor z(d).
2*(d - 3)*(d - 2)*(d - 1)**2/5
Let z(h) = 2*h - 3. Let r be z(3). Suppose 6 = 7*v - 5*v. Factor 2*g + 6*g**2 + 3*g - 6*g + r*g**v + 4*g.
3*g*(g + 1)**2
Determine h, given that -5*h + 9*h - h**2 - 4*h + 5 - 4*h = 0.
-5, 1
Let y(f) = -5*f**3 - 3*f**2 - 3*f + 7. Let k(d) = -11*d**3 - 7*d**2 - 7*d + 15. Let r(t) = 6*k(t) - 13*y(t). Solve r(i) = 0 for i.
-1
Let o(h) be the third derivative of -h**7/420 + h**6/80 - h**5/60 - 8*h**2. What is j in o(j) = 0?
0, 1, 2
Let w(o) be the third derivative of o**8/336 - o**6/120 - 2*o**2 + 13. Solve w(l) = 0.
-1, 0, 1
Let t(s) be the third derivative of -s**8/3360 + s**4/8 - 3*s**2. Let x(c) be the second derivative of t(c). Suppose x(f) = 0. What is f?
0
Let j = -21 + 21. Solve j - 1/4*c + 1/4*c**2 = 0.
0, 1
Let f(c) be the first derivative of -c**5/2 - 5*c**4/4 + 10*c**3/3 + 5*c**2/2 - 15*c/2 - 9. Find a such that f(a) = 0.
-3, -1, 1
Let j(v) be the third derivative of v**7/1470 - v**6/140 + 13*v**5/420 - v**4/14 + 2*v**3/21 - 16*v**2. Factor j(g).
(g - 2)**2*(g - 1)**2/7
Let x be 3/(-612)*-27 + 2/17. Factor 0 - x*g - 1/4*g**2.
-g*(g + 1)/4
Suppose -5*b = -h - 20, -4*b = h - 4*h - 16. Suppose x + 3*x - 16 = h. Factor -z**4 - 3*z**2 - z**x + z + 3*z**3 + z**4.
-z*(z - 1)**3
Find i such that -3/4*i**2 + 1/4*i**3 + 3/4*i - 1/4 = 0.
1
Let c(x) = -x**2 - 6*x - 2. Suppose 4*d = 2*a + 22, -4*a - 6 = -a + 3*d. Let n be c(a). Factor -7*w**4 + 5*w + 6*w**3 + 6*w**2 + 9*w**4 - n*w.
2*w*(w + 1)**3
Let d(l) be the first derivative of 3*l**5/5 + 6*l**4 + 15*l**3 - 12*l**2 - 48*l + 2. Suppose d(h) = 0. What is h?
-4, -1, 1
Let y(f) = -f**3 + 10*f**2 - 10*f + 2. Let w(v) = 69*v**2 - v**3 - 69*v - 5*v**3 + 12 + 3. Let d(u) = -2*w(u) + 15*y(u). Factor d(r).
-3*r*(r - 2)**2
Let p(q) = -2*q**4 - 15*q**3 + 8*q**2 + 15*q + 3. Let n(u) = -25*u**4 - 180*u**3 + 95*u**2 + 180*u + 35. Let y(k) = -3*n(k) + 35*p(k). What is i in y(i) = 0?
-3, -1, 0, 1
Let i(v) = -v**3 + v**2 + 2. Let l be 2 - 2 - (0 + 0). Let z be i(l). Factor -1 - 1/2*y**z - 3/2*y.
-(y + 1)*(y + 2)/2
Let u(w) be the first derivative of -w**3/4 + 3*w**2/2 + 9*w - 17. Suppose u(j) = 0. Calculate j.
-2, 6
Let p(r) be the second derivative of r**5/20 - r**4/3 + 2*r**2 - 4*r. Let c be p(4). Factor -2/7*f - 2*f**3 + 0 + 6/7*f**c + 10/7*f**2.
2*f*(f - 1)**2*(3*f - 1)/7
Let a(k) be the first derivative of -3*k**5/10 - 3*k**4/4 + 3*k**2/2 + 3*k/2 - 11. S