at -17 - 5*g**2 + 8 + 2*g**2 - 12 - 24*g = 0.
-7, -1
Let i = -122 - -491/4. Factor 0*d + 1/4*d**2 + 0 + i*d**4 + d**3.
d**2*(d + 1)*(3*d + 1)/4
Let f(j) = -4*j**2 + 5*j - 1. Let m(l) = -4*l**2 + 4*l. Let c(o) = -4*f(o) + 3*m(o). Factor c(x).
4*(x - 1)**2
Let z = 3 + -1. Suppose 5*i - 22 = -7. What is a in -2*a**3 + 4*a**3 - 3*a**i + a + a**z - a**4 = 0?
-1, 0, 1
Let y = -69 + 69. Factor x**3 + 1/2*x - 1/4*x**4 - 5/4*x**2 + y.
-x*(x - 2)*(x - 1)**2/4
Let h be (-24)/(-15) - (-8)/20. Find i such that i + 3*i**4 + 3 + i**h - 7*i**2 - i = 0.
-1, 1
Find t, given that 4/3*t**4 - 4/3*t**2 + 0*t**3 - 2/3*t**5 + 2/3*t + 0 = 0.
-1, 0, 1
Let y(s) be the third derivative of -s**6/90 + 2*s**5/15 - 2*s**4/3 - 3*s**3/2 + 6*s**2. Let h(m) be the first derivative of y(m). Factor h(j).
-4*(j - 2)**2
Let o(t) = -t. Let g be o(0). Let b(c) be the second derivative of 0*c**2 + 0*c**3 - 1/70*c**5 + g - 1/147*c**7 - 2*c + 2/105*c**6 + 0*c**4. Solve b(v) = 0.
0, 1
Let l(y) = 11*y**3 - 81*y**2 + 309*y - 239. Let t(n) = 23*n**3 - 163*n**2 + 617*n - 477. Let u(d) = 13*l(d) - 6*t(d). Suppose u(z) = 0. What is z?
1, 7
What is b in -12*b**2 - 12*b**3 - 33 + 33 - 3*b**4 = 0?
-2, 0
Let z be ((-100)/(-5))/(-2 + 4). Let v be 26/10 - z/(-25). Factor -6*t + 0*t**4 - v + 4*t**4 + 6*t**3 - t**4.
3*(t - 1)*(t + 1)**3
Let a(f) be the second derivative of f**6/40 - f**4/8 - 3*f**2/2 + f. Let b(s) be the first derivative of a(s). Factor b(i).
3*i*(i - 1)*(i + 1)
Let a = 640/11 - 58. Factor -2/11*m**3 + 2/11*m**2 + 2/11*m + 0 - a*m**4.
-2*m*(m - 1)*(m + 1)**2/11
Let u(b) = -12*b**2 + 4*b. Let a(x) = x**2. Let r(h) = -10*a(h) - u(h). Find o, given that r(o) = 0.
0, 2
Let p = -19 + 22. Let -1/5*t**2 + 0*t + 0 + 1/5*t**4 + 0*t**p = 0. What is t?
-1, 0, 1
Let a(n) be the first derivative of 1/2*n**2 + 0*n - 1/4*n**4 + 2 + 0*n**3. Factor a(j).
-j*(j - 1)*(j + 1)
Let b(h) be the second derivative of h**7/3780 - h**6/2160 - h**5/360 - 7*h**4/12 - 3*h. Let m(l) be the third derivative of b(l). Suppose m(o) = 0. What is o?
-1/2, 1
Let b = 13 - 6. Let u = 10 - b. Determine x, given that 3*x**2 + x + 2*x**2 + x**3 - u*x**2 = 0.
-1, 0
Let j(t) be the first derivative of -t**4 + 4*t**3 + 2*t**2 - 12*t - 16. Find o such that j(o) = 0.
-1, 1, 3
Let r(m) be the second derivative of 1/5*m**3 - 1/30*m**4 - 9*m - 2/5*m**2 + 0. Let r(i) = 0. Calculate i.
1, 2
Suppose 2*w + 5*w = 0. Let o(k) be the third derivative of 0*k**5 + 0*k**7 + 0*k**4 + 0*k**6 + w*k - 1/1512*k**8 + 2*k**2 + 0*k**3 + 0. Factor o(s).
-2*s**5/9
Let d(v) = -2*v - 1. Let p be d(-1). Let o(q) be the first derivative of 2/9*q**5 + q**4 - 8/9*q - p + 0*q**2 + 34/27*q**3. Suppose o(w) = 0. What is w?
-2, -1, 2/5
Let d(o) be the second derivative of 2*o - 1/27*o**3 + 1/90*o**5 - 1/54*o**4 + 1/9*o**2 + 0. Factor d(u).
2*(u - 1)**2*(u + 1)/9
Let x(j) = j**3 - 2*j**2 - 3*j + 3. Let a be x(3). Let l be a/(-2) - 125/(-30). Let 0*n - 4/9*n**2 + 2/3*n**3 + 0 + 14/9*n**5 + l*n**4 = 0. What is n?
-1, 0, 2/7
Let c(y) be the second derivative of -y**7/2100 - y**6/450 - y**5/300 - y**3/6 + y. Let h(z) be the second derivative of c(z). Solve h(o) = 0 for o.
-1, 0
Let j(g) be the second derivative of g**7/105 - g**5/25 + g**3/15 + g. Find a such that j(a) = 0.
-1, 0, 1
Suppose 3*c + c = 5*i + 25, -4*i = -5*c + 29. Factor 31*r**c + 2*r**4 - 3*r**2 - r**3 + 3*r**2 - 32*r**5.
-r**3*(r - 1)**2
Suppose 5 = -g, 19 = -0*q - 2*q - 3*g. Let t = q + 4. Let 15*u**2 + t - u**2 + 6*u**3 + 8*u + 2*u = 0. Calculate u.
-1, -1/3
Factor 1/2*i**3 + 1/2*i - i**2 + 0.
i*(i - 1)**2/2
Let b(t) = -2*t - 7. Let f be b(-5). Let z(x) be the third derivative of -1/60*x**6 + 1/15*x**5 + 2*x**2 + 0*x**f + 0*x - 1/12*x**4 + 0. Factor z(k).
-2*k*(k - 1)**2
Let y = 42/19 + -275/133. Determine v so that 0 + 2/7*v + 3/7*v**2 + y*v**3 = 0.
-2, -1, 0
Let p(a) = -a**3 - 3*a**3 + 5*a**3 - a**2. Let f(j) = -8 - j**2 - 6*j - 8*j**2 + 3*j**3 + j**2 + 18*j. Let x(q) = 3*f(q) - 6*p(q). Factor x(y).
3*(y - 2)**3
Let m(w) = w**2 + 13*w + 16. Let p be m(-12). Suppose 3*u + 9 = f, p*u = 3 - 11. Factor -2/3*j**5 - 4/3*j**4 + 0 + 4/3*j**2 + 0*j**f + 2/3*j.
-2*j*(j - 1)*(j + 1)**3/3
Let b(l) = -l. Let y be 3/(-1) - 0/11. Let u be b(y). Factor 3/4*f**u + 3/4*f**2 + 1/4*f**4 + 0 + 1/4*f.
f*(f + 1)**3/4
Let m = 9 - 2. Let l = -4 + m. Suppose -4*f**3 + f**5 + 6*f**l + f**5 - 4*f**4 = 0. What is f?
0, 1
Let s(g) = -g**5 - g**2 + g - 1. Let y(m) = 4*m**5 - 18*m**4 - 38*m**3 + 16*m**2 + 34*m - 18. Let r(x) = 10*s(x) - y(x). Solve r(i) = 0.
-1, 2/7, 1, 2
Let b(k) be the second derivative of 2/7*k**2 + 0 + 1/21*k**3 - 1/42*k**4 - 8*k. Determine z so that b(z) = 0.
-1, 2
Let o(n) = -n**3 - 11*n**2 - 11*n - 10. Let r be o(-10). Let m(j) be the third derivative of 1/18*j**4 + 2*j**2 + 0*j + 0*j**3 - 1/90*j**5 + r. Solve m(c) = 0.
0, 2
Let m be -5*((-2)/10 - 1). Let b(v) be the first derivative of 0*v**2 + v**m - 2 + 0*v + 13/8*v**4 - 1/3*v**3 - 23/10*v**5. Find h such that b(h) = 0.
0, 1/4, 2/3, 1
Let q = -52 + 54. Let d(f) be the first derivative of 1/5*f**2 - 2/15*f**3 - q + 0*f. Suppose d(h) = 0. Calculate h.
0, 1
Let r(a) be the third derivative of 1/30*a**6 - 4/3*a**4 - 4/3*a**3 - 6*a**2 + 1/21*a**7 + 0*a + 0 - 1/2*a**5. Factor r(b).
2*(b - 2)*(b + 1)**2*(5*b + 2)
Let l(c) = c**5 - c**3 + c**2 - c - 1. Let u(h) = -12*h**5 + 6*h**4 + 9*h**3 - 15*h**2 + 12*h + 9. Suppose 4*b + 16 = 52. Let f(x) = b*l(x) + u(x). Factor f(n).
-3*n*(n - 1)**3*(n + 1)
Let c(u) be the third derivative of 1/3*u**3 + 0 + 0*u + 1/24*u**4 - u**2 - 1/60*u**5. Factor c(s).
-(s - 2)*(s + 1)
Let z(q) be the first derivative of -q**6/180 - q**5/45 + q**4/36 + 2*q**3/9 - 3*q**2 + 2. Let w(v) be the second derivative of z(v). What is b in w(b) = 0?
-2, -1, 1
Let y be (-14172)/(-40)*8/18. Let l = -734/5 + y. Factor -l*v**3 + 2/3 + 16*v**2 - 6*v.
-2*(v - 1)*(4*v - 1)**2/3
Let k(n) be the second derivative of n**7/294 - n**5/140 + 7*n. Factor k(b).
b**3*(b - 1)*(b + 1)/7
Let x(o) be the second derivative of -5*o**7/21 - o**6/6 + 7*o**5/4 + 35*o**4/12 - 5*o**3/6 - 5*o**2 + 15*o. Solve x(t) = 0 for t.
-1, 1/2, 2
Let u(t) be the second derivative of -2/21*t**4 - 1/70*t**5 + 0 + 0*t**2 + 2*t - 4/21*t**3. Let u(c) = 0. Calculate c.
-2, 0
Let j(d) be the second derivative of d**7/840 + d**6/240 + d**4/6 - 4*d. Let b(l) be the third derivative of j(l). Determine p so that b(p) = 0.
-1, 0
Let p = 292 - 289. Factor 0 + 3/2*r**p + 0*r**2 + 0*r - 3/2*r**4.
-3*r**3*(r - 1)/2
Let v = -42166 - -211687/5. Let j = -165 + v. What is u in 14/5*u - 2/5 - 16/5*u**2 - j*u**3 = 0?
-1, 1/4
Let o(d) be the first derivative of d**4/8 + 2*d**3/3 + 3*d**2/4 - 39. Factor o(h).
h*(h + 1)*(h + 3)/2
Suppose 38*f + 2 = 39*f. Let b = 11/65 + 3/13. Determine m, given that b*m**f - 2/5 + 0*m = 0.
-1, 1
Let v be -2 - 1*(-44)/20. Let -v*k**2 - 9/5 - 6/5*k = 0. Calculate k.
-3
Suppose 2 = -q + 2*n - 1, -3*q - 2*n + 15 = 0. Let -i**q - 2*i - 6 + 4*i**2 + 0*i**3 + 2 + 3*i**3 = 0. Calculate i.
-2, -1, 1
Determine y, given that 2*y**5 + 2*y**5 - 16*y**4 + 7*y**3 + 9*y**3 = 0.
0, 2
Factor 2315 - 12*q**2 - 2315 - 3*q.
-3*q*(4*q + 1)
Let j(i) = -i + 16. Let h be j(15). Determine x, given that -5*x - h - 23/4*x**2 - 7/4*x**3 = 0.
-2, -1, -2/7
Let 0 + 2/7*s**3 - 1/7*s + 1/7*s**2 = 0. Calculate s.
-1, 0, 1/2
Factor 10/7*i + 4/7 + 2/7*i**3 + 8/7*i**2.
2*(i + 1)**2*(i + 2)/7
Let j(s) be the first derivative of s**4/22 - 6*s**3/11 + 27*s**2/11 - 54*s/11 - 8. Let j(l) = 0. What is l?
3
Let j(o) be the second derivative of -3*o + 0 + 5/42*o**4 + 2/21*o**3 + 0*o**2 + 1/105*o**6 + 2/35*o**5. Factor j(n).
2*n*(n + 1)**2*(n + 2)/7
Let q = -52 + 54. Factor 1/2 + 9/4*g + g**q.
(g + 2)*(4*g + 1)/4
Let z(d) be the third derivative of d**5/24 - 15*d**4/16 + 35*d**3/6 + 2*d**2 - 13. Factor z(k).
5*(k - 7)*(k - 2)/2
Let q = -7 + 9. Factor -13*o**2 - 5*o**2 + 24*o - q + 3 - 9.
-2*(3*o - 2)**2
Let n(k) be the first derivative of -2 - 2/3*k**2 - 2/15*k**5 + 2/3*k + 1/3*k**4 + 0*k**3. Let n(a) = 0. What is a?
-1, 1
Factor 1/6*w**4 - 5/6*w**2 + 0 - 1/2*w - 1/6*w**3.
w*(w - 3)*(w + 1)**2/6
Let q(j) = 3*j + 3. Let g(h) = 16*h + 16. Let m(n) = 2*g(n) - 11*q(n). Let o be m(-4). Find s, given that -1/4*s - 1/4*s**2 + 1/4*s**4 + 0 + 1/4*s**o = 0.
-1, 0, 1
Solve -4/11*p**3 + 4/11*p**2 - 2/11*p**5 - 6/11*p**4 + 2/11 + 6/