 64 + 10*o.
4*(o + 4)**2
Let o(g) = 2*g - 7. Let m be o(8). Suppose b + m = t, -15 = -t + 2*b - 2. Suppose 0 + 8/5*f**2 + 4/5*f**3 - 8/5*f**4 - 6/5*f**t + 2/5*f = 0. What is f?
-1, -1/3, 0, 1
Let i be 1*31*(-3)/(-3). Suppose -5*g**2 + i*g - 12 - g - 33 = 0. Calculate g.
3
Let b = 1722/11 + -10321/66. Determine i so that -2/3 + 1/6*i**2 - 2/3*i + b*i**3 = 0.
-2, -1, 2
Let g(s) = -6*s - 108. Let u be g(-18). Let c(w) be the first derivative of 1/4*w**4 + 0*w**2 - 3 + u*w + 1/3*w**3. Suppose c(x) = 0. Calculate x.
-1, 0
Suppose -62 = 6*m + 16. Let u = m + 15. Suppose 194*s - 194*s + 0*s**u - 3*s**2 + 3*s**3 = 0. Calculate s.
0, 1
Let y be 25/9 - 4/(-18). Let r be 1 - 4 - ((y - 2) + -4). What is h in 2/5*h**4 + 0 + 0*h + r*h**3 + 0*h**2 = 0?
0
Let i(o) = -7*o**2 + 9*o + 6. Let t(a) = 3*a**2 - 4*a - 3. Let z(g) = -2*i(g) - 5*t(g). Factor z(h).
-(h - 3)*(h + 1)
Suppose 17432*a**3 + 588*a - 40*a**2 - 17429*a**3 - 44*a**2 = 0. What is a?
0, 14
Solve 4/21*g + 0 - 2/21*g**2 = 0 for g.
0, 2
Suppose 20 = 3*l - 5*z, -4*l + 8*l = 4*z + 24. Solve 1/4*q**2 - 7/8*q**3 + 0*q**4 - 1 + 3/2*q + 1/8*q**l = 0.
-2, 1, 2
Let o(c) be the first derivative of -c**5/25 + c**4/20 + 126. Factor o(u).
-u**3*(u - 1)/5
Let i(t) = 5*t - 42. Let r be i(11). Let m = -9 + r. Determine d, given that -3/4*d**3 + 0 + 1/4*d + 0*d**2 + 1/2*d**m = 0.
-1/2, 0, 1
Let j(r) = -81*r**2 - 3534*r - 3486. Let s(d) = -5*d**2 - 221*d - 218. Let z(n) = 2*j(n) - 33*s(n). Determine g, given that z(g) = 0.
-74, -1
Let h = 60479/7 + -8409. Let c = -230 + h. Factor 2/7 + c*i**2 + 8/7*i.
2*(i + 1)*(3*i + 1)/7
Let h(z) be the third derivative of z**7/1155 + z**6/220 - z**5/330 - z**4/44 - 116*z**2 - z. Find g such that h(g) = 0.
-3, -1, 0, 1
Determine s so that -76/5 - 22*s + 2/5*s**3 - 32/5*s**2 = 0.
-2, -1, 19
Factor 42/19*o - 12/19*o**3 + 6/19*o**4 - 18/19 + 2/19*o**5 - 20/19*o**2.
2*(o - 1)**3*(o + 3)**2/19
Let x be 3*(10/4 + (-9)/6). Let z(l) be the second derivative of 0 + 0*l**2 - 1/6*l**x + 2*l + 1/12*l**4. Factor z(i).
i*(i - 1)
Let i(p) be the second derivative of 2*p**3/3 - p**2/2 + 3*p. Let o be i(3). Factor -8*x**3 - 8*x - x**2 - 4*x**4 - o*x**2 - 8*x**2 - 8*x**3.
-4*x*(x + 1)**2*(x + 2)
Let t(w) be the third derivative of w**8/1176 - w**7/147 + 2*w**6/105 - 2*w**5/105 + 9*w**2 + 4. Factor t(n).
2*n**2*(n - 2)**2*(n - 1)/7
Let z(l) be the third derivative of l**8/336 - l**7/42 - 17*l**6/120 + 17*l**5/60 + 4*l**4/3 - 14*l**3/3 + 353*l**2. Factor z(m).
(m - 7)*(m - 1)**2*(m + 2)**2
Let g(k) = 4*k**3 - 35*k**2 - 30*k. Let n(a) = 3*a**3 - 33*a**2 - 30*a. Let p(s) = 2*g(s) - 3*n(s). Factor p(b).
-b*(b - 30)*(b + 1)
Let c(n) = -3*n**4 + 9*n**3 + 2*n**2 + 2*n. Let l(p) = 30*p**4 - 90*p**3 - 21*p**2 - 21*p. Let i(r) = -21*c(r) - 2*l(r). Find y such that i(y) = 0.
0, 3
Factor 361/2*p**2 - 57*p + 9/2.
(19*p - 3)**2/2
Let u(g) be the first derivative of 25*g**6/3 + 9*g**5 - 15*g**4/4 - 10*g**3/3 - 662. Let u(p) = 0. What is p?
-1, -2/5, 0, 1/2
Let b(w) be the first derivative of 2*w**5/5 - 4*w**4 + 44*w**3/3 - 24*w**2 + 18*w + 131. Factor b(r).
2*(r - 3)**2*(r - 1)**2
Let t(r) be the first derivative of 10*r**6/3 + 52*r**5/5 + 11*r**4 + 4*r**3 + 174. Determine k, given that t(k) = 0.
-1, -3/5, 0
Factor -7*z + 1576*z**2 - 793*z**2 - 3*z - 788*z**2.
-5*z*(z + 2)
Let r(p) be the first derivative of 2*p**7/105 - p**6/6 + 8*p**5/15 - 2*p**4/3 + 11*p**2/2 - 15. Let b(s) be the second derivative of r(s). Solve b(v) = 0.
0, 1, 2
Factor 9/2*f**2 + 0*f + 0 + 105/8*f**3 - 9/8*f**4.
-3*f**2*(f - 12)*(3*f + 1)/8
Let i(g) be the third derivative of -g**7/1050 + g**6/600 + g**5/150 - 63*g**2. Suppose i(s) = 0. Calculate s.
-1, 0, 2
Let q(p) be the second derivative of p**6/120 + p**5/40 - p**3/12 - p**2/8 - 115*p. Factor q(j).
(j - 1)*(j + 1)**3/4
Let z(p) = 20*p**4 + 20*p**3 - 6*p**2 + 17. Let m(x) = -7*x**4 - 7*x**3 + 2*x**2 - 6. Let y(r) = 17*m(r) + 6*z(r). Solve y(o) = 0.
-2, 0, 1
Let m = 52291/35 + -1494. Let z(w) be the first derivative of -m*w**5 - 2/7*w**2 + 1/7*w**3 - 9 - 4/7*w + 1/14*w**4. What is g in z(g) = 0?
-1, 2
Let r(v) be the second derivative of -v**6/45 - v**5/6 - 4*v**4/9 - 4*v**3/9 - 5*v - 10. Find n such that r(n) = 0.
-2, -1, 0
Factor -4*x**3 - 24/7 + 4/7*x**4 + 4*x + 20/7*x**2.
4*(x - 6)*(x - 1)**2*(x + 1)/7
Let b(m) be the second derivative of m**5/150 - m**4/20 + m**2 + 31*m. Let l(d) be the first derivative of b(d). Factor l(j).
2*j*(j - 3)/5
Let d = -10015 + 10019. Suppose 5/4*c**3 - 3/4*c**d + 0 + c**2 - c = 0. Calculate c.
-1, 0, 2/3, 2
Let i(h) be the first derivative of h**6/10 - 219*h**5/25 - 111*h**4/10 - 490. Factor i(u).
3*u**3*(u - 74)*(u + 1)/5
Suppose 9*w + 5258 = 5276. Suppose -6/5*o**w - 3/5*o + 0 - 3/5*o**3 = 0. Calculate o.
-1, 0
Factor 7*h**2 + 44*h**4 - 43*h**4 + 26*h - 23*h + 5*h**3.
h*(h + 1)**2*(h + 3)
Let h = 24835/3 - 8275. Let -h*l + 4/3 - 2*l**2 = 0. Calculate l.
-2, 1/3
Determine h, given that 0 + 2/17*h**2 - 18/17*h = 0.
0, 9
Let q(s) be the first derivative of -7*s**4/24 - s**3/2 + s**2/4 - 28*s - 7. Let h(i) be the first derivative of q(i). What is t in h(t) = 0?
-1, 1/7
Let f(o) be the first derivative of 3*o**5/20 + 3*o**4/8 - 43. Let f(t) = 0. What is t?
-2, 0
Let n = 117 - 114. Suppose 22 = i + 5*o, -4*i - n*o - 2 + 22 = 0. Solve -1/5*q + 2/5 - 3/5*q**i = 0.
-1, 2/3
Solve -44 - 24*g**4 - 756*g**2 - 29*g**3 + 334*g + 7*g**4 + 535*g**3 - 23*g**4 = 0 for g.
1/4, 2/5, 1, 11
Let w(x) = -5*x**2 + 7*x + 6. Let p(k) = 4*k**2 - 6*k - 5. Let t be (-4 - -2)/2 - -6. Let s(f) = t*w(f) + 6*p(f). Factor s(j).
-j*(j + 1)
Let q(v) be the first derivative of v**6/900 - 2*v**5/75 + 4*v**4/15 + 3*v**3 + 20. Let g(p) be the third derivative of q(p). Factor g(s).
2*(s - 4)**2/5
Find j such that 28/5*j + 48/5 + 2/5*j**2 = 0.
-12, -2
Let z(o) be the first derivative of 5*o**3/3 - 165*o**2/2 - 350*o - 177. Factor z(j).
5*(j - 35)*(j + 2)
Suppose -4*l = -48 + 36. Factor l*w**2 + 176 + 12*w + 124 + 20*w + 28*w.
3*(w + 10)**2
Let a = -92 + 74. Let h be 2*(-2)/16 + a/(-24). Factor 3/2*s + h*s**4 + 0 - 3/2*s**3 - 1/2*s**2.
s*(s - 3)*(s - 1)*(s + 1)/2
Let s(q) = -q**4 - q**3 - q**2 - 2*q + 1. Let n(p) = -5*p**4 - 9*p**3 - 13*p**2 - 15*p + 2. Let g(z) = -n(z) + 4*s(z). Let g(c) = 0. What is c?
-2, -1
Let b(g) = 5*g**3 + 5*g**2 - 3*g. Let l(w) = 6*w**3 - w**2 + 2*w**2 + 5*w**2 - 4*w. Let t be (-6 - -2)/(-1*(3 - 2)). Let r(p) = t*b(p) - 3*l(p). Factor r(j).
2*j**2*(j + 1)
Let c(b) be the first derivative of -1/6*b**3 + 6 + 0*b**2 + 1/16*b**4 + 0*b. Solve c(d) = 0 for d.
0, 2
Let n(f) = -4*f**2 + 8*f + 3. Let y(v) = -9*v**2 + 16*v + 7. Let h(x) = -7*n(x) + 3*y(x). Factor h(l).
l*(l - 8)
Let b = 7 - 7. Let w(g) be the first derivative of -3 + 7*g**3 - 3*g**2 - 21/5*g**5 + b*g + 3/2*g**4. Find p such that w(p) = 0.
-1, 0, 2/7, 1
Determine r so that 6/5*r**2 + 9/5*r**5 + 24/5*r**4 + 21/5*r**3 + 0*r + 0 = 0.
-1, -2/3, 0
Suppose 6*w = -0*w - 66. Let t = w - -13. What is b in -4*b**t + 2*b**2 + 3*b**2 - 5*b**2 - 2*b**3 = 0?
-2, 0
Suppose 4*s = -24 - 20. Let x(n) = n**3 + 12*n**2 + 10*n - 9. Let z be x(s). Factor 1/3*i + 0*i**4 - 2/3*i**3 + 0 + 0*i**z + 1/3*i**5.
i*(i - 1)**2*(i + 1)**2/3
Let w(j) = 5*j**2 - 73*j - 30. Let s be w(15). Determine r, given that 2/13*r - 2/13*r**2 + s = 0.
0, 1
What is u in -11/4*u**3 + 10*u**2 + 0 - 7*u - 1/4*u**4 = 0?
-14, 0, 1, 2
Let r = 4309/2690 + -1/538. Suppose 18*k - 14 - 22 = 0. Factor -2/5*l**k + r + 0*l.
-2*(l - 2)*(l + 2)/5
Suppose -2*w = 4*w - 12. Let -y**3 + 4*y - 2*y**3 + 4*y**3 - 4*y**w + 4*y**4 - 5*y**3 = 0. Calculate y.
-1, 0, 1
Let i(m) be the first derivative of m**4/4 - 3*m**3 - 21*m**2/2 + 30*m - 16. Let y(b) be the first derivative of i(b). Factor y(d).
3*(d - 7)*(d + 1)
Let s(f) = -f + 4. Let l be s(3). Solve 28*j**2 + 10*j + l - 1 - 3*j**2 = 0 for j.
-2/5, 0
Let b(j) be the third derivative of -j**7/1050 - j**6/75 - j**5/15 - 2*j**4/15 - 293*j**2. Factor b(q).
-q*(q + 2)**2*(q + 4)/5
Let v(c) be the first derivative of 7 + 1/9*c**2 + 1/27*c**3 + 0*c. Factor v(n).
n*(n + 2)/9
Let f(k) be the first derivative of 6*k**3 - 7 - 18*k**2 - 3/4*k**4 + 24*k. Factor f(s).
-3*(s - 2)**3
Let m(r) be the third derivative of -1/11*r**4 + 0 - 6/385*r**7 - 6/55*r**5 + 3*r**2 - 1/616*r**8 + 0*r + 0*r**3 - 13/220*r**6. Let m(f) = 0. Calculate f.
-2, -1, 0
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