*(7*o + 2)
Let z(g) = -5*g**2 + g - 2. Let b(n) = 9*n**2 - 2*n + 3. Let q(s) = 4*b(s) + 7*z(s). What is t in q(t) = 0?
-1, 2
Let o(n) be the first derivative of -8*n**6/75 - n**5/5 + 7*n**4/15 + 4*n**3/15 + 8*n + 2. Let d(y) be the first derivative of o(y). Solve d(b) = 0 for b.
-2, -1/4, 0, 1
Let a be -2 - 3/(9/48). Let y = -53/3 - a. Factor y*r**4 + 0*r**3 - 1/3*r**2 + 0 + 0*r.
r**2*(r - 1)*(r + 1)/3
Let g(t) be the first derivative of t**6/2 - 3*t**4/2 + 3*t**2/2 - 4. Find k such that g(k) = 0.
-1, 0, 1
Factor 8 + 4*n + 1/2*n**2.
(n + 4)**2/2
Let g(t) = 7*t**3 - 12*t**2 + 17*t - 12. Let p(n) = 11*n**3 - 18*n**2 + 25*n - 18. Let z(x) = 8*g(x) - 5*p(x). Suppose z(v) = 0. Calculate v.
1, 2, 3
Let t(s) = s + 8. Let h be t(-6). Let -21*v**h - 2 + 2 - 45*v - 12 - 15 - 3*v**3 = 0. What is v?
-3, -1
Let g(x) be the third derivative of 0 + 0*x**3 + 1/40*x**5 - 2*x**2 + 0*x + 1/24*x**4 + 1/240*x**6. Suppose g(j) = 0. What is j?
-2, -1, 0
Let d(h) = -h**3 + 11*h**2 + 13*h - 7. Let o be d(12). Suppose 4*j - 14 = f, -j - 4*f + 13 = 1. Factor -4*z**o + 2*z**5 + z**j + z**4.
-2*z**4*(z - 1)
Let c(g) = -g + 4. Let a(l) = l - 3. Let z(k) = 3*a(k) + 2*c(k). Let x(v) = -3*v**2 - v - 6. Let n(q) = 3*x(q) - 12*z(q). Factor n(f).
-3*(f + 1)*(3*f + 2)
Suppose -6*k = -9*k. Let s(l) be the third derivative of 0 - 1/21*l**3 + k*l**4 + 3*l**2 + 1/105*l**5 - 1/735*l**7 + 0*l + 0*l**6. Factor s(b).
-2*(b - 1)**2*(b + 1)**2/7
Let t(s) = s**3 - 4*s**2 - 5*s. Let v be t(5). Let b = -146 - -149. Factor 1/2*d**5 + v*d + 3/2*d**b - 3/2*d**4 - 1/2*d**2 + 0.
d**2*(d - 1)**3/2
Let d(q) be the third derivative of 2*q**7/35 - q**6/6 + q**5/15 + q**4/6 - 7*q**2. Solve d(u) = 0 for u.
-1/3, 0, 1
Let b(z) = -z**3 - 12*z**2 + 12*z - 10. Let d be b(-13). Suppose d*k**3 + 3*k**4 - 6 - 2*k**3 + 15*k - 5*k**2 - 4*k**2 - 4*k**3 = 0. Calculate k.
-2, 1
Let v be (5 + 3 - -3) + 1. Factor -5*n**4 + 3*n**2 - 11*n + 13*n - 12*n**2 + v*n**3.
-n*(n - 1)**2*(5*n - 2)
Let s(u) be the first derivative of u**6/27 + 2*u**5/15 - u**4/18 - 14*u**3/27 + 8*u/9 + 6. Determine y, given that s(y) = 0.
-2, -1, 1
Let c(g) be the third derivative of g**7/45 + 19*g**6/180 + g**5/6 + g**4/36 - 2*g**3/9 + 4*g**2. Solve c(h) = 0.
-1, 2/7
Let g be (52/44 - -1) + -2. Suppose 0 - g*x**2 + 0*x**3 + 2/11*x**4 + 0*x = 0. What is x?
-1, 0, 1
Suppose 29*d - 34*d = -15. Find i such that 3/2*i + 3/2*i**5 - 1/2 + i**2 - d*i**3 - 1/2*i**4 = 0.
-1, 1/3, 1
Let j(q) be the third derivative of -q**5/210 + 4*q**3/21 - 11*q**2. What is p in j(p) = 0?
-2, 2
Let c = 452 - 450. Factor 2/7*g**c - 2/7 + 0*g.
2*(g - 1)*(g + 1)/7
Factor -2*f + 4*f - 6*f + 0*f - 8*f**2.
-4*f*(2*f + 1)
Suppose -143 + 149 = 3*g. Let u(s) be the first derivative of 1/3*s**3 + 0*s + 0*s**4 - 2 + 0*s**g - 1/5*s**5. Factor u(d).
-d**2*(d - 1)*(d + 1)
Suppose 6*i + 34 = 58. Let k be (-26)/(-8) - (-1 + 2). Find a, given that -1/4*a**2 + 0*a - 7/4*a**3 + 0 - 15/4*a**i - k*a**5 = 0.
-1, -1/3, 0
Suppose -a = -0 - 3. Let d(h) be the second derivative of 0 + 1/36*h**4 + 0*h**2 + h + 0*h**a + 1/30*h**6 + 1/20*h**5 + 1/126*h**7. Factor d(r).
r**2*(r + 1)**3/3
Let o(y) be the first derivative of 2*y**2 - 9*y + 1. Let f be o(3). What is k in 0 + 2/11*k**f - 2/11*k + 0*k**2 = 0?
-1, 0, 1
Suppose -4*s = -0*s - 28. Suppose 1 = -3*d + s. What is v in -6*v**2 - 16*v**3 - 7*v**4 + 2*v**d - 2*v - 7*v**2 = 0?
-1, -2/7, 0
Let v(j) = -12*j**4 + 45*j**3 - 63*j**2 + 3*j + 9. Let k(c) = -6*c**4 + 23*c**3 - 31*c**2 + c + 5. Let z(m) = 9*k(m) - 4*v(m). Solve z(w) = 0.
-1/2, 1, 3
Let i = -26 + 26. Let a be 18/14 - (1 + i). Let a - 4/7*g + 2/7*g**2 = 0. What is g?
1
Let y(v) be the second derivative of v**6/120 + 3*v**5/40 + v**4/6 - v - 18. Solve y(o) = 0.
-4, -2, 0
Suppose 22 = 11*x - 0*x. Suppose 0 + k**x - k - 1/4*k**3 = 0. What is k?
0, 2
Let x**2 - 2*x - 3*x**2 - 21*x**3 + 13*x**3 + 10*x**3 + 2 = 0. What is x?
-1, 1
Suppose 0 = u + 2*g + 7 + 3, 0 = -3*u - g - 5. Let c(o) be the third derivative of 1/30*o**5 + 0*o**3 + 0*o + u + 2*o**2 + 1/12*o**4. Factor c(t).
2*t*(t + 1)
Let u(w) = w**2 - 3*w + 1. Let k be u(4). Let -3*z**4 + 0*z**4 + 4*z**4 + 2*z + 9*z**2 + 5*z**3 + k*z + 2 = 0. What is z?
-2, -1
Factor -1/2*u**2 - 6*u + 0.
-u*(u + 12)/2
Let q(f) be the second derivative of -f**5/20 - f**4/4 + f**3/6 + 3*f**2/2 + 2*f. Factor q(a).
-(a - 1)*(a + 1)*(a + 3)
Let f(l) = 7*l**4 - 24*l**3 + 81*l**2. Let w(s) = -15*s**4 + 49*s**3 - 162*s**2. Let m(c) = 13*f(c) + 6*w(c). Solve m(b) = 0.
0, 9
Let i(l) be the first derivative of -1/6*l**3 + 1/12*l**4 + 0*l**2 + 1 - l. Let k(n) be the first derivative of i(n). Solve k(y) = 0 for y.
0, 1
Let g(b) be the first derivative of 25*b**6/6 + 12*b**5 + 23*b**4/2 + 4*b**3 + b**2/2 + 24. Factor g(l).
l*(l + 1)**2*(5*l + 1)**2
Let w = -401/2 + 202. What is z in 0 - 3/2*z**3 - z**4 + w*z**5 + z**2 + 0*z = 0?
-1, 0, 2/3, 1
Let v be (-4)/6 - 13/(-6). Suppose 0 = x - 2*u, x - 6*x = -4*u - 6. Factor -g + v*g**x - 1/2.
(g - 1)*(3*g + 1)/2
Factor -1/7*y**5 + 0*y + 0*y**2 + 0 + 2/7*y**3 - 1/7*y**4.
-y**3*(y - 1)*(y + 2)/7
Let p(w) be the third derivative of w**7/5040 - w**6/1440 - w**5/120 - w**4/6 - 4*w**2. Let l(s) be the second derivative of p(s). Factor l(b).
(b - 2)*(b + 1)/2
Let d = 169/9 - 1147/63. Factor -d*t**4 + 0 + 4/7*t**2 - 2/7*t + 2/7*t**5 + 0*t**3.
2*t*(t - 1)**3*(t + 1)/7
Let u(s) be the first derivative of 3*s**4/8 + 7*s**3/6 + 5*s**2/4 + s/2 + 2. Suppose u(i) = 0. What is i?
-1, -1/3
Let q(o) be the first derivative of 75*o**4/4 + 15*o**3 - 27*o**2/2 + 3*o + 4. Factor q(c).
3*(c + 1)*(5*c - 1)**2
Let b(v) = 2*v**2 + 4*v - 4. Let x be b(-4). Suppose 5*u - x = 18. Suppose u*c**3 - 2*c**4 + 4*c**3 - 4*c**3 + 2*c - 6*c**2 + 0*c = 0. Calculate c.
0, 1
Let f = 8037941/19044102 + 1/123663. Let o = f - 3/22. Factor -4/7 - o*x**2 - 6/7*x.
-2*(x + 1)*(x + 2)/7
Let i(m) = -3*m - 6*m**4 + 2*m**4 + 2*m**3 - 3*m + 0*m. Let h(f) = f**4 + f**3 + f + 1. Let j(d) = -2*h(d) - i(d). Factor j(t).
2*(t - 1)**3*(t + 1)
Let u(k) be the first derivative of k**7/3360 - k**6/480 + k**5/240 - k**3/3 - 6. Let y(b) be the third derivative of u(b). Solve y(c) = 0.
0, 1, 2
Let f be -4 + (5 - 3) + (2 - 0). Let k(q) be the third derivative of 1/54*q**4 + 1/270*q**5 + 0*q + q**2 + 1/27*q**3 + f. Let k(t) = 0. What is t?
-1
Let m(u) be the third derivative of -u**6/20 + u**5/30 - 22*u**2. Determine n so that m(n) = 0.
0, 1/3
Let d(b) be the third derivative of b**5/5 + 19*b**4/6 - 28*b**3/3 + 12*b**2. Factor d(g).
4*(g + 7)*(3*g - 2)
Suppose 4*z - 22 = 14. Suppose 0 = 4*g - z*g + 15. Determine j so that g*j**2 - 2*j**2 + j**4 - 2*j**2 = 0.
-1, 0, 1
Let p(c) be the second derivative of 0*c**2 - 5*c + 9/20*c**5 - 2*c**3 - c**4 + 0 + 1/14*c**7 + 2/5*c**6. Solve p(y) = 0.
-2, -1, 0, 1
Let n be 4/5*5/2. Let i(f) be the first derivative of 0*f**3 + n + 1/18*f**4 - 1/3*f**2 + 4/9*f. Solve i(s) = 0.
-2, 1
Let v = -163/3 + 55. Let 1/3*n**2 - v + 1/3*n = 0. Calculate n.
-2, 1
Let z(l) = l**4 + l**3 - 7*l + 7. Let d(j) = 13*j + j**3 - 17*j + j**4 + 4 + 0*j**3. Let p(y) = -7*d(y) + 4*z(y). Factor p(n).
-3*n**3*(n + 1)
Let v = 1419 + -28579/20. Let n = -39/4 - v. Solve -n*g**3 + 0*g + 1/5*g**2 + 0 = 0.
0, 1
Let l = 43 - 27. Suppose -3*p = 2*s - l, 0 = 5*s - p - 4 - 2. Determine f, given that -2/5*f**s + 0*f + 0 = 0.
0
Suppose -b + 2*c = 3*c - 1, 2*b = 2*c + 6. Factor -3*g**3 - 12*g**2 - 8*g**4 - b*g**3 - 2*g - 13*g**3.
-2*g*(g + 1)**2*(4*g + 1)
Find u, given that -4/5 + 4/5*u**3 - 14/5*u**2 + 14/5*u = 0.
1/2, 1, 2
Let a(d) be the third derivative of -d**7/3780 + d**6/1080 + d**5/90 - 5*d**4/24 - 7*d**2. Let t(x) be the second derivative of a(x). Let t(i) = 0. Calculate i.
-1, 2
Suppose 11*j = 7*j + 8. Suppose -22 = -g + 4*z, 2*g + 21 = -0*g - 5*z. Let -2*m**2 - m**g + 4*m**j + 3*m**3 - 2*m = 0. What is m?
-1, 0, 2/3
Let g(o) = o**2 - 5*o. Let r(n) = -4*n. Let j(x) = 4*g(x) - 3*r(x). Factor j(u).
4*u*(u - 2)
Solve -9*q**4 + 0*q**4 + 6*q**3 + 25*q**5 - 22*q**5 = 0.
0, 1, 2
Let n(i) be the first derivative of -7 + 1/16*i**4 - 1/6*i**3 + 0*i**2 + 0*i + 1/20*i**5. Determine s, given that n(s) = 0.
-2, 0, 1
Let c(i) = -i**3 + 5*i**2 + i - 3. Let g be c(5). Determine y, given that 4*y**g + 2 + 1 + 2*y - 4 - 2*y**3 - 3*y**4 = 0.
-1, 1/3, 1
Let r(f) be the second derivative of 50*f**6/21 + 55*f**5