t j(g) = 0. Calculate g.
-1, 0, 1
Let s(n) be the third derivative of 5*n**8/1008 - 29*n**7/630 + 3*n**6/20 - 7*n**5/45 - n**4/9 - 9*n**2 + 13*n. Let s(r) = 0. Calculate r.
-1/5, 0, 2
Let x(o) be the second derivative of -1/12*o**4 - 19*o - 1/12*o**3 + 0 + 1/4*o**2. Solve x(r) = 0 for r.
-1, 1/2
Let h(n) = -6*n**4 - 27*n**3 + 12*n**2 + 66*n - 48. Let o(g) = g**4 + g**3 - g**2. Let b(p) = h(p) + 3*o(p). Factor b(v).
-3*(v - 1)**2*(v + 2)*(v + 8)
Let k = -124151/168 + 739. Let c(p) be the third derivative of 0*p**7 + 0*p**5 + 0*p + 0 - 1/12*p**4 + 1/30*p**6 - 5*p**2 + 0*p**3 - k*p**8. Solve c(i) = 0.
-1, 0, 1
Let 97/5*i**2 - 19*i - 2/5 = 0. What is i?
-2/97, 1
Let r be 0 + 5 + (84/8)/(-7). Determine i so that -i**3 - 7/2*i**2 + 0 + i + r*i**4 = 0.
-1, 0, 2/7, 1
Suppose 9*c - 15 - 6 = -3. Factor -8/7*b**c + 3*b + 1/7*b**3 - 18/7.
(b - 3)**2*(b - 2)/7
Suppose 4 = 11*z - 9*z. Find k, given that 0*k**z - 132 + 135 - 3*k**2 = 0.
-1, 1
Let t(x) be the third derivative of 0*x**4 + 0*x**3 + 0*x**5 + 0*x**6 + 1/1512*x**8 + 0*x + 0 + 1/945*x**7 - 19*x**2. Factor t(y).
2*y**4*(y + 1)/9
Let k(g) = 3*g**4 + 25*g**3 - 34*g**2 - 9*g. Let q(d) = d**4 + 12*d**3 - 17*d**2 - 2*d. Let f(b) = -4*k(b) + 10*q(b). Find p, given that f(p) = 0.
0, 1, 8
Let m(h) = 3*h - 43. Let w be m(15). Find s such that 0 - 8 + 10*s + 6*s**2 - w*s**4 - 2*s - 4*s**3 = 0.
-2, 1
Let j(t) be the second derivative of -t**4/18 - 8*t**3/9 + 20*t**2/3 + t + 198. Factor j(v).
-2*(v - 2)*(v + 10)/3
Determine l, given that -67*l**3 + 35*l**3 - 8*l**2 + 31*l**3 - 16*l = 0.
-4, 0
Let s(x) = -146*x**2 + 1601*x - 107729. Let l(p) = -42*p**2 + 534*p - 35910. Let m(y) = -7*l(y) + 2*s(y). Factor m(d).
2*(d - 134)**2
Suppose o = -4*m - 2 - 4, -2*m - 2 = o. Suppose -j + 5 = o. Find c, given that -c**j + 8*c**3 - 2*c**2 - 4*c**3 - 5*c**3 = 0.
-1, 0
Let o(i) = -i**2 - i - 1. Let g(c) = 4*c**3 + 31*c**2 - 42*c - 44. Let y(a) = -g(a) - 4*o(a). Factor y(d).
-(d - 2)*(d + 8)*(4*d + 3)
Let p(q) = -8*q - 35. Let h be p(-5). Determine g, given that -2168 + 2163 - 5*g**2 + h*g + 5*g = 0.
1
Let x(w) = -3*w**2 + 10*w - 1. Let n(g) = 10*g**2 - 30*g + 4. Suppose 64*b - 62*b = 6. Let k(o) = b*n(o) + 8*x(o). Factor k(h).
2*(h - 1)*(3*h - 2)
Let x(c) = -6*c - 17. Let l be x(-6). Determine b, given that 16*b - 4*b**3 + 5*b**4 + l*b**3 - 11*b + 15*b**2 = 0.
-1, 0
Let p(t) be the third derivative of -t**9/756 - 3*t**8/448 - t**7/84 - t**6/144 - t**4/3 + 12*t**2. Let u(k) be the second derivative of p(k). Factor u(o).
-5*o*(o + 1)**2*(4*o + 1)
Let o(u) be the second derivative of -5*u**4/12 - 25*u**3/2 - 35*u**2 + 110*u. Factor o(r).
-5*(r + 1)*(r + 14)
Let a(o) = -18*o**3 - 132*o**2 - 155*o - 45. Let c(g) = 75 - 156*g - 18*g**3 - 132*g**2 - 48 - 71. Let f(j) = 4*a(j) - 3*c(j). Find h, given that f(h) = 0.
-6, -2/3
Let y(b) = -17*b**2 + 56*b + 24. Let x(f) = 222*f**2 - 729*f - 312. Let l = 17 + 10. Let k(d) = l*y(d) + 2*x(d). Factor k(m).
-3*(m - 4)*(5*m + 2)
Factor -54/17*j + 18/17*j**2 + 2/17*j**4 - 108/17 + 14/17*j**3.
2*(j - 2)*(j + 3)**3/17
Suppose 20 = 3*v + v, -3*v + 35 = -5*y. Let w be 1 + -2*(-2)/y. Find z, given that -4*z**2 + w + 6 + 21*z - 8*z**2 = 0.
-1/4, 2
Let k be (0/(1*18/(-6)))/(-26 - -27). Let 8/13*h**3 + 4/13*h - 10/13*h**2 + k - 2/13*h**4 = 0. Calculate h.
0, 1, 2
Let m(i) be the third derivative of 0*i**3 - 5*i**2 - 1/120*i**6 - 1/1050*i**7 - 1/30*i**4 + 0 - 2/75*i**5 + 0*i. Let m(a) = 0. What is a?
-2, -1, 0
Let t(q) = q + 8. Suppose -5*y - 9 = -2*y. Let u be t(y). Factor 0*x**2 - x**4 + 0*x + 0 + 1/2*x**3 - 3/2*x**u.
-x**3*(x + 1)*(3*x - 1)/2
Suppose 4*v = 2*g - 36, 82 = 5*g - 3*v + 13. Suppose -4*c = -0*c - g. Suppose 5*h**2 - 2*h**c - 4*h - 1 - 4*h**4 + h + 6*h - h**3 = 0. Calculate h.
-1, 1/4, 1
Solve 2*i**4 + 12/11*i**2 - 28/11*i**3 + 2/11*i - 6/11*i**5 - 2/11 = 0 for i.
-1/3, 1
Let u(y) = 10*y**2 + 2*y - 6. Let d(q) = q - 1. Let f(n) = -21*n**2 - n + 11. Let w(g) = 2*d(g) - f(g). Let x(p) = -13*u(p) + 6*w(p). Factor x(b).
-4*b*(b + 2)
Let q(l) be the third derivative of -l**7/420 + l**6/12 - 5*l**5/6 - 33*l**2. Determine z, given that q(z) = 0.
0, 10
Let x = 114 - 114. Let l(w) be the third derivative of -1/20*w**4 + 0*w + 1/300*w**6 + 0 + 2/15*w**3 + x*w**5 - 3*w**2. Solve l(y) = 0.
-2, 1
Let w = 125/8 + -119/8. Factor -w*v - v**4 + 1/4*v**5 + 0 + v**2 + 1/2*v**3.
v*(v - 3)*(v - 1)**2*(v + 1)/4
Let r(m) = -m**4 + 15*m**2 + m. Let n(p) = p**3 + 2*p**2 + 2*p. Let q(l) = 3*n(l) - r(l). Factor q(o).
o*(o - 1)**2*(o + 5)
Let o = 29 + 71. Factor -r**4 + 4*r**3 + 5*r**4 - o + 100.
4*r**3*(r + 1)
Let o(v) = 12*v**2 + 63*v - 54. Let k be o(-6). Factor 0*j**3 - 4/7*j**4 + k + 12/7*j**2 + 8/7*j.
-4*j*(j - 2)*(j + 1)**2/7
Suppose 2*p + 2*m + 372 = 0, -p + 28 = 4*m + 220. Let i = 369/2 + p. Factor 1/2*k**2 + i*k - 1.
(k - 1)*(k + 2)/2
Factor -96/7*p**3 - 64/7*p + 320/7*p**4 - 256/7*p**2 + 0 - 100/7*p**5.
-4*p*(p - 2)**2*(5*p + 2)**2/7
Let w(a) be the first derivative of 5 - 2/3*a**3 + 4*a + a**2 + 1/6*a**4. Let u(y) be the first derivative of w(y). Determine f so that u(f) = 0.
1
Let h(j) be the second derivative of -4/3*j**3 - 8/21*j**7 + 2*j + 6/5*j**5 + 0 + 0*j**2 + 14/15*j**6 - 7/3*j**4. Solve h(p) = 0 for p.
-1, -1/4, 0, 1, 2
Solve -4/5 + 1/5*m**2 + 0*m = 0.
-2, 2
Let p(m) = -4*m**3 + 3*m. Let r(x) = 3*x**3 - 5*x + 3. Let w(o) = -6*o**3 + 9*o - 5. Let s(u) = 5*r(u) + 3*w(u). Let d(f) = 2*p(f) - 3*s(f). Solve d(g) = 0.
0
Let u(z) be the first derivative of -z**7/126 + z**6/45 - z**5/60 - 13*z - 6. Let f(l) be the first derivative of u(l). Find a such that f(a) = 0.
0, 1
Let b = -3 - -12. Let q(n) = -n**2 + 11*n - 13. Let m be q(b). Determine f, given that -5*f - 8*f**3 + 4*f**2 + 3*f**4 + m*f - 8*f**2 + 9*f**5 = 0.
-2/3, 0, 1
Let c(i) = 6*i**4 - 6*i**2 + 8*i + 4. Let a(w) = 5*w**4 + w**3 - 8*w**2 + 8*w + 3. Let d(g) = 4*a(g) - 3*c(g). Factor d(u).
2*u*(u - 1)**2*(u + 4)
Let q(p) be the first derivative of -4/25*p**5 + 14 + 0*p - 1/5*p**3 + 7/20*p**4 + 0*p**2. Let q(s) = 0. What is s?
0, 3/4, 1
Let s be (24/10)/(6/20). Solve t**2 - 2*t + 2*t**2 + s*t + 3 = 0 for t.
-1
Let n be ((-10)/(-60)*21)/14. What is r in 1/2*r**3 - 1/4*r**5 - 1/2*r**2 + 1/4*r**4 + 1/4 - n*r = 0?
-1, 1
Find p such that -5*p**2 - 6*p**2 + 64*p + 19*p**2 + 642 - 1666 - 9*p**2 = 0.
32
Let t(g) be the second derivative of -g**8/168 - g**7/105 + g**6/60 + g**5/30 + 15*g**2/2 + 13*g. Let n(u) be the first derivative of t(u). Factor n(v).
-2*v**2*(v - 1)*(v + 1)**2
Let r(j) be the third derivative of -j**5 + 0*j**3 + 0 + 5/6*j**4 + 5/24*j**6 - 5*j**2 + 0*j. Determine f so that r(f) = 0.
0, 2/5, 2
Let q = -16 + 18. Determine h, given that 18*h - 4*h**2 - h**2 + 0*h + q*h - 15 = 0.
1, 3
Let p(i) = i**3 + 3*i**2 - 2*i - 3. Let m be p(-3). Determine u, given that -u**m - 4*u**2 + 3*u**3 - 2*u**3 + u**4 = 0.
-2, 0, 2
Let k be 2/(80/100) + -1. Factor -3/2*g**4 + 0 + 1/2*g**5 + 0*g + k*g**3 - 1/2*g**2.
g**2*(g - 1)**3/2
Suppose 20*x - 18*x = 32. Suppose -x = -5*c - 4*q, -4*c - 3*q = -c - 12. Find t such that 0 + 4/3*t**4 + 0*t**2 + 0*t + c*t**3 = 0.
0
Let f(x) be the third derivative of 9*x**2 - 3/5*x**3 + 1/20*x**5 - 7/40*x**4 + 1/350*x**7 + 7/200*x**6 + 0*x + 2. Solve f(z) = 0.
-6, -1, 1
Let v = 799 - 793. Let n(d) be the second derivative of 2*d**3 + 17/5*d**6 + 0 + v*d - 3/2*d**7 + 81/20*d**5 - 6*d**4 + 0*d**2. What is h in n(h) = 0?
-1, 0, 2/7, 1/3, 2
Let g be (-12)/(-54) + (-70)/(-9). Let q be g/((-32)/(-12)) - 3. Find t such that q - t**2 + 11/2*t**4 + 2*t**5 + 5/2*t**3 + 0*t = 0.
-2, -1, 0, 1/4
Let 27*w**2 + 4*w - 24*w - 27 + 23*w - 3*w**3 = 0. Calculate w.
-1, 1, 9
Suppose 4*k - 4 = 6*u + 6*k, 3*u = 3*k + 6. Solve u + 15/2*i - 5/4*i**3 - 5/4*i**2 = 0.
-3, 0, 2
Let h = -37957/2 - -18980. Solve h*g**3 - 3*g**2 + 0 + 3/2*g = 0 for g.
0, 1
Let m(v) = v**2 - 6*v - 8. Let i be m(8). Let b be -2*(3 - (i + -4)). Suppose -5*w**4 + 3*w**4 - 2*w**b + 4*w**4 = 0. Calculate w.
-1, 0, 1
Let x(s) be the second derivative of s**9/22680 - 13*s**8/20160 + s**7/315 - s**6/240 - 7*s**4/12 - 4*s. Let d(r) be the third derivative of x(r). Factor d(o).
o*(o - 3)**2*(2*o - 1)/3
Let l = 77949/7 - 11130. Factor 18/7*f**2 - l*f**3 + 0*f + 0 - 15/7*f**4.
-3*f**2*(f + 3)*(5*f - 2)/7
Let -30981*s + 12*s**2 + 31021*s - 32 - 4*s**4 - 13*s**3 - 3*s**3 = 0. Calculate 