= 0.
-1, 0
Let k be (-4)/(-28) - (-360)/28. Let u = -13 + k. Determine y so that 0*y + 2/7*y**2 + u + 2/7*y**3 = 0.
-1, 0
Factor 0 + 2/5*h**2 - 2/5*h**4 + 0*h**3 + 0*h.
-2*h**2*(h - 1)*(h + 1)/5
Let n(g) be the first derivative of -4 - 2/7*g**3 + 3/7*g**2 - 2/7*g + 1/14*g**4. Find v such that n(v) = 0.
1
Let z(i) = -4*i**3 - 7*i**2 - 13*i. Suppose d + 0*d = -8. Let t(l) = -6*l**3 - 10*l**2 - 20*l. Let k(s) = d*z(s) + 5*t(s). Find c, given that k(c) = 0.
-2, -1, 0
Let l(n) be the second derivative of -n**6/3 - 3*n**5/4 + 29*n. Determine z so that l(z) = 0.
-3/2, 0
Let p(h) be the first derivative of -h**3/4 - 9*h**2/8 - 3*h/2 + 5. Suppose p(t) = 0. What is t?
-2, -1
Suppose -c**5 - 2*c**2 - 3*c**3 + 3 - 4 + c**3 + 3*c**4 + 3*c = 0. What is c?
-1, 1
Suppose 3/4*f**2 + 0*f + 1/2*f**3 + 0 = 0. What is f?
-3/2, 0
Let s(v) = -v**3 - 5*v**2 + 5*v - 3. Let f be s(-6). Suppose 4*i - 12 = -p, -3*p + 9 = 5*i - 6. Factor -d - f*d**2 + 5*d**2 + 0*d**3 - d**i.
-d*(d - 1)**2
Let s(u) be the third derivative of 0 + 0*u + 1/108*u**4 - 1/135*u**5 + 2/27*u**3 - 1/540*u**6 - 2*u**2. Find h such that s(h) = 0.
-2, -1, 1
Let k be (-2)/((-5)/3 + 6/18). Let -3*z**2 - 3/4*z**4 + k*z + 5/2*z**3 - 1/4 = 0. What is z?
1/3, 1
Let n = 29 + -27. Let x(p) be the first derivative of 1 - p + p**n - 1/3*p**3. Find c, given that x(c) = 0.
1
Let s(n) = n**3 - n**2 + 3*n. Let t(z) = z**3 - z**2 + 4*z. Let v(o) = 6*s(o) - 5*t(o). Factor v(a).
a*(a - 2)*(a + 1)
Let y be (5 + -1)*(-2)/(-2). Let d(w) = w**3 - 4*w**2 + w. Let z be d(y). What is o in -4*o**3 - 3 + 2*o - 1 + 2*o**3 + z*o**2 = 0?
-1, 1, 2
Let u be (74/(-111))/(8/(-6)). Factor -2 + 2*v - u*v**2.
-(v - 2)**2/2
Suppose 0 = 5*j - 3*g - 9, -2*j - 2*j + 5*g + 2 = 0. What is k in 0*k + 0 - 2/3*k**4 + 2/3*k**5 + 2/3*k**2 - 2/3*k**j = 0?
-1, 0, 1
Let q(s) be the second derivative of 1/9*s**6 - 1/6*s**4 + 0 - s - 2/3*s**2 + 7/30*s**5 - 7/9*s**3. Let q(j) = 0. Calculate j.
-1, -2/5, 1
Factor 10/9*w - 2/3 - 2/9*w**3 - 2/9*w**2.
-2*(w - 1)**2*(w + 3)/9
Let i(t) be the first derivative of -2*t**5/45 + t**4/9 + 2*t**3/9 - 4*t**2/9 - 8*t/9 - 9. Factor i(y).
-2*(y - 2)**2*(y + 1)**2/9
Suppose -8 = -c - c. Suppose 15 = 5*l - 5*p, 9*l - c*l = 3*p + 17. Factor l + 2*k + 4*k - 2*k**3 + 0*k.
-2*(k - 2)*(k + 1)**2
Let t(r) = r**3 + 6*r**2 - r - 6. Let l be t(-6). Let g be (-5 - -7) + (1 - 1). Let -32/3*c**3 - 15*c**4 + 0*c + l + 27*c**5 - 4/3*c**g = 0. Calculate c.
-2/9, 0, 1
Let a = 9 + -9. Let h(x) be the second derivative of 4/7*x**2 + 2*x + a - 4/21*x**3 + 1/42*x**4. Factor h(f).
2*(f - 2)**2/7
Suppose 3*o + 2*o = -2*d + 21, 4*d = -o - 3. Let x be (3/1 + -3)/d. Let 2/5*a**2 - 4/5*a + x = 0. Calculate a.
0, 2
Let b(t) be the third derivative of t**7/210 + t**6/24 + t**5/20 - 3*t**4/8 - 55*t**2. Factor b(i).
i*(i - 1)*(i + 3)**2
Let l(z) be the second derivative of 5*z**7/42 + 2*z**6/3 + 5*z**5/4 + 5*z**4/6 - 8*z. Factor l(h).
5*h**2*(h + 1)**2*(h + 2)
Let z(r) be the second derivative of -5*r**4/36 + 10*r**2/3 + 10*r. Solve z(m) = 0 for m.
-2, 2
Let y(b) be the second derivative of -5*b**4/12 + 10*b**3/3 - 15*b**2/2 - 9*b. Factor y(d).
-5*(d - 3)*(d - 1)
Let s(j) be the third derivative of j**7/105 + j**6/60 - j**5/30 - j**4/12 - 29*j**2. Factor s(a).
2*a*(a - 1)*(a + 1)**2
Let g be ((-4)/(-2))/((-6)/9). Let y(a) = 5*a**2 - 5*a + 9. Let m(w) = -9*w**2 + 11*w - 17. Let n(o) = g*m(o) - 5*y(o). Factor n(b).
2*(b - 3)*(b - 1)
Let g(z) be the first derivative of -5*z**9/189 + z**8/210 + 11*z**7/840 - z**6/180 + 8*z**3/3 + 8. Let a(j) be the third derivative of g(j). Factor a(r).
-r**2*(4*r - 1)**2*(5*r + 2)
Let i = -10 - -10. Let a be (5/(-15))/(-2 + (-14)/(-8)). Factor -1/3*w**4 - 4/3*w**3 + i - a*w**2 + 0*w.
-w**2*(w + 2)**2/3
Let a(t) = t**4 - t**2. Let g(n) = -2*n**5 + 5*n**4 - 14*n**3 + 3*n**2 + 16*n - 8. Let c(o) = 5*a(o) + g(o). Solve c(y) = 0.
-1, 1, 2
Let q(t) be the first derivative of -9*t**6/2 - 102*t**5/5 - 69*t**4/2 - 24*t**3 - 3*t**2/2 + 6*t - 1. Factor q(h).
-3*(h + 1)**4*(9*h - 2)
Suppose 2 = 3*p + 20. Let r(w) = -w - 3. Let u be r(p). Suppose 0 + 1/2*c - 1/2*c**u + 0*c**2 = 0. Calculate c.
-1, 0, 1
Let c(i) be the second derivative of -i + 0 + 1/36*i**4 - 1/36*i**5 - 1/2*i**2 + 0*i**3. Let g(u) be the first derivative of c(u). Solve g(o) = 0.
0, 2/5
Let w(h) be the second derivative of -h**5/60 - h**4/8 + 2*h**3/3 + 4*h**2 - 7*h. Let n(u) be the first derivative of w(u). Factor n(b).
-(b - 1)*(b + 4)
Let a(i) be the first derivative of -3/2*i**2 - i**3 - i - 1 - 1/4*i**4. Solve a(u) = 0.
-1
Let y(f) = -4*f**3 - 31*f**2 + 7*f + 25. Let a(s) = -12*s**3 - 92*s**2 + 20*s + 76. Let m(k) = 3*a(k) - 8*y(k). Factor m(x).
-4*(x - 1)*(x + 1)*(x + 7)
Suppose 0*r + r - 3 = 0. Factor 7*n + n**r + 4*n**2 - n**2 + 1 - 4*n.
(n + 1)**3
Factor 0 - 1/3*a**2 + 0*a + 1/2*a**3.
a**2*(3*a - 2)/6
Let d(s) = -2*s**3 - 2*s**2 - 4*s. Let b(j) = -3*j**3 - 5*j**2 - 10*j. Let i(h) = -2*b(h) + 5*d(h). Factor i(q).
-4*q**3
Let -6*n**3 - 3*n**4 - 6*n**4 + 3*n**5 + 9*n - 6*n**5 + 3 + 6*n**2 = 0. Calculate n.
-1, 1
Let s(i) be the first derivative of -2*i**5/5 + 6*i**4 - 44*i**3/3 - 84*i**2 - 98*i - 11. Determine q so that s(q) = 0.
-1, 7
Suppose -3*o = 4*w - 10 - 1, 0 = 5*o + w - 24. Let j be 2/6 - o/(-3). Factor -2/3*v**3 + 0 - 4/9*v**j + 2/9*v.
-2*v*(v + 1)*(3*v - 1)/9
Let m(n) = -4*n**2 - n + 2. Let l(u) = 3*u**2 - 1. Let q(o) = -3*l(o) - 2*m(o). Determine x, given that q(x) = 0.
1
Let z(v) be the third derivative of 1/160*v**6 - v**2 + 0 + 1/80*v**5 - 1/8*v**3 + 0*v - 1/32*v**4. Factor z(f).
3*(f - 1)*(f + 1)**2/4
Let a(i) be the first derivative of -4*i**5/5 + 13*i**4 - 80*i**3 + 224*i**2 - 256*i - 20. Let a(j) = 0. What is j?
1, 4
Let x(i) be the first derivative of 2*i**3/3 + 11*i**2/10 + i/5 - 21. Factor x(b).
(b + 1)*(10*b + 1)/5
Suppose 1/3*y - y**2 + 1/3 - 1/3*y**3 + 2/3*y**4 = 0. What is y?
-1, -1/2, 1
Factor 27/2*o - 3/2*o**2 + 0.
-3*o*(o - 9)/2
Let b(p) be the first derivative of 3*p**2 - 5 + 9*p + 1/3*p**3. Factor b(t).
(t + 3)**2
Find r, given that 0*r - 2/5*r**4 + 0 + 0*r**3 + 2/5*r**2 = 0.
-1, 0, 1
Let g be 1 - (-3 - 408/9). Let k = 50 - g. Determine v, given that -2/3*v**3 + 2/3*v + 2/3 - k*v**2 = 0.
-1, 1
Let z(o) be the third derivative of -o**8/560 - o**7/525 + o**6/100 + o**5/75 - o**4/40 - o**3/15 + 17*o**2. Determine w, given that z(w) = 0.
-1, -2/3, 1
Let x(a) be the second derivative of a**7/720 + 23*a**6/2160 + a**5/36 + a**4/36 + 2*a**3/3 + 10*a. Let h(m) be the second derivative of x(m). Factor h(w).
(w + 1)*(w + 2)*(7*w + 2)/6
Let z = -443/78 + 76/13. Factor 1/3*x**2 + 0*x + 0 - 1/6*x**3 + z*x**5 - 1/3*x**4.
x**2*(x - 2)*(x - 1)*(x + 1)/6
Let c = -155 - -155. Factor 0 + 0*s**3 + 0*s**2 + c*s + 1/2*s**4 + 1/2*s**5.
s**4*(s + 1)/2
Let u(g) = -4*g**3 - 2*g**2 - 4*g. Let c(h) = -3*h**3 - 2*h**2 - 3*h. Let d(n) = -5*c(n) + 4*u(n). Solve d(w) = 0.
0, 1
Let y(a) be the first derivative of a - 2 + 1/6*a**6 - 1/2*a**4 + 1/5*a**5 - 2/3*a**3 + 1/2*a**2. Determine x, given that y(x) = 0.
-1, 1
Let g(s) be the second derivative of s**8/2800 + 3*s**7/1400 + s**6/300 + s**3/2 + 4*s. Let m(z) be the second derivative of g(z). Factor m(o).
3*o**2*(o + 1)*(o + 2)/5
Let k = 170 + -847/5. Find g, given that -7/5*g**2 + 0 - g**5 + k*g**3 + 2/5*g + 7/5*g**4 = 0.
-1, 0, 2/5, 1
Let b(r) be the third derivative of 7/8*r**4 - 1/112*r**8 + 0 - r**3 - 2/5*r**5 + 1/20*r**6 + 1/35*r**7 - 5*r**2 + 0*r. Solve b(c) = 0 for c.
-2, 1
Let t(x) = -x**3 - 11*x**2 - 12*x - 15. Let a be t(-10). Suppose -4*d + 6*d = 6, 21 = 3*q + a*d. Find n, given that -2/5 + 2/5*n**q - 2/5*n**3 + 2/5*n = 0.
-1, 1
Suppose -4*c + 10 + 6 = 0. Let w be c + -2 + 7*1. Let 2*s**4 + w*s**3 + 16*s**2 + s + 7*s + s**3 = 0. Calculate s.
-2, -1, 0
Determine z, given that -18/7*z + 2/7*z**3 - 10/7 - 6/7*z**2 = 0.
-1, 5
Factor -14/17*t + 20/17 + 2/17*t**2.
2*(t - 5)*(t - 2)/17
Let r(q) = -q**2 - 4*q + 10. Let o be r(6). Let s = 252/5 + o. Factor 8/5*k**5 + 0 + 0*k - 6/5*k**4 - s*k**3 + 0*k**2.
2*k**3*(k - 1)*(4*k + 1)/5
Let a(g) be the second derivative of g**7/3780 - g**5/180 + g**4/4 + 2*g. Let d(j) be the third derivative of a(j). Factor d(v).
2*(v - 1)*(v + 1)/3
Let c be 2/(-6)*84/(-2). Let o be (-57)/(-63) - 8/c. What is x in 0 + x**2 + o*x + 2/3*x**3 = 0?
-1, -1/2, 0
Let l be 5/2 - (15 - 1