*4 - 4*g**2 - 8*g**r + 8*g**2 = 0?
0, 1
Let v(r) be the second derivative of -r + 0*r**3 + 1/56*r**7 + 1/80*r**5 + 0*r**2 + 1/24*r**6 - 1/48*r**4 + 0. Suppose v(i) = 0. What is i?
-1, 0, 1/3
Solve -8 + 2*n**3 - 4*n**2 + 66*n - 74*n + 6*n**2 = 0.
-2, -1, 2
Let s(d) be the second derivative of 0 + 1/24*d**3 + 2*d + 0*d**2 + 1/48*d**4. Determine h, given that s(h) = 0.
-1, 0
Let x(j) be the second derivative of 2*j + 1/18*j**4 + 0 + 2/9*j**3 + 1/3*j**2. Factor x(k).
2*(k + 1)**2/3
What is r in 0 + 8/7*r**3 + 4/7*r**2 - 4/7*r**4 - 8/7*r = 0?
-1, 0, 1, 2
Let r(c) be the first derivative of -c**7/840 + c**5/120 - c**3/3 + 1. Let p(u) be the third derivative of r(u). Suppose p(o) = 0. What is o?
-1, 0, 1
Let y(n) = 7*n**3 - 13*n**2 + 19*n + 3. Let t(v) = -64*v**3 + 116*v**2 - 172*v - 28. Let p(g) = -3*t(g) - 28*y(g). Factor p(f).
-4*f*(f - 2)**2
Let t(m) be the second derivative of -m**7/2520 - m**6/540 - m**5/360 + m**3/6 + m. Let y(k) be the second derivative of t(k). Determine g so that y(g) = 0.
-1, 0
Let h(c) be the second derivative of -5/12*c**4 + 0 + 2*c**2 + 4/3*c**3 + 3*c. Factor h(q).
-(q - 2)*(5*q + 2)
Let k(g) be the first derivative of g**5/20 - 3*g**4/16 - g**3/4 + 11*g**2/8 - 3*g/2 - 57. Determine f so that k(f) = 0.
-2, 1, 3
Suppose 3*k = 5*f - 2 + 10, 3*k + 5*f + 2 = 0. Let o(a) be the first derivative of -k + 0*a + a**2 - 2/3*a**3. Factor o(q).
-2*q*(q - 1)
Let k = 200 - 197. Find a, given that -4*a**3 - 3/2*a**4 + 1/2 + 0*a - k*a**2 = 0.
-1, 1/3
Let d(p) = -p**3 + 5*p**2 - 4*p + 2. Let q be d(4). Factor -11*u**3 - 8*u - 3*u**3 - 16*u**2 - q*u**4 + 4*u**3.
-2*u*(u + 1)*(u + 2)**2
Suppose -7*s + 63 - 49 = 0. Factor -1/5*h**s + 0*h + 0.
-h**2/5
Let f = 11/26 - -1/13. Find d, given that -d**2 + 1 + f*d - 1/2*d**3 = 0.
-2, -1, 1
Suppose -10*d + 12*d - 29 = -5*x, 5*x - 35 = -5*d. Let 36/7*a**3 + 8/7 - 4/7*a - 72/7*a**d = 0. What is a?
-1/3, 1/3, 2
Let f(q) be the third derivative of 1/12*q**3 + 0*q + 1/120*q**5 - 1/24*q**4 + 2*q**2 + 0. Find k such that f(k) = 0.
1
Suppose 5*j + 8 = 4*s - 10, -s = j. Solve 0*p + 1/5*p**5 - 1/5*p**3 + 1/5*p**s - 1/5*p**4 + 0 = 0.
-1, 0, 1
Let p(a) be the second derivative of -a**5/90 - a**4/9 - a**3/3 + 4*a. Factor p(u).
-2*u*(u + 3)**2/9
Let o(z) be the first derivative of 0*z - 9/10*z**4 + 1/5*z**2 + 2/15*z**3 - 7 - 4/15*z**6 + 22/25*z**5. Factor o(u).
-2*u*(u - 1)**3*(4*u + 1)/5
Let v(y) = y**2 + y. Let u = 11 - 12. Let b(s) = 6*s**2 + 11*s + 9. Let g(j) = u*b(j) + 5*v(j). Determine h so that g(h) = 0.
-3
Let q be (156/10)/(-6) - 3*-1. Determine j, given that 0 + 2/5*j**5 - q*j**4 + 0*j - 2/5*j**3 + 2/5*j**2 = 0.
-1, 0, 1
Let n(s) = 2*s**3 - 3*s**2 - 2*s - 3. Let r(v) = 4*v**3 - 5*v**2 - 4*v - 5. Let m(d) = -5*n(d) + 3*r(d). Solve m(i) = 0.
-1, 0, 1
Let c(m) be the first derivative of -m**7/840 - m**6/600 + m**5/300 - 2*m**3/3 - 2. Let f(u) be the third derivative of c(u). Factor f(t).
-t*(t + 1)*(5*t - 2)/5
Let w(f) = 99*f**3 + 33*f**2 - 108*f - 24. Let g(t) = -25*t**3 - 8*t**2 + 27*t + 6. Let a(c) = 9*g(c) + 2*w(c). Solve a(z) = 0 for z.
-1, -2/9, 1
Let z = 24251/2245 + -1/449. Let k = 172/15 - z. Factor -1/6*d**2 - 2/3 + k*d.
-(d - 2)**2/6
Let t(l) be the first derivative of -32*l**5/5 + 20*l**4 - 22*l**3 + 10*l**2 - 2*l - 11. Solve t(u) = 0.
1/4, 1
Let n be 0/(-1 - 1)*1. Factor 6*l**2 + 0 + 12*l**3 - 8*l**3 - 2 + n.
2*(l + 1)**2*(2*l - 1)
Suppose 2*d - 4*x + 43 = -3*d, 0 = d - x + 8. Let t(b) = b**3 + 12*b**2 + 10*b - 7. Let z be t(d). Factor 1/2*c**5 - 1/2*c**2 - 3/2*c**z + 3/2*c**3 + 0 + 0*c.
c**2*(c - 1)**3/2
Find p, given that 8/11*p + 0 + 36/11*p**4 + 56/11*p**2 + 98/11*p**3 = 0.
-2, -1/2, -2/9, 0
Determine o, given that 0*o + 4/9*o**2 + 14/9*o**3 + 16/9*o**4 + 2/3*o**5 + 0 = 0.
-1, -2/3, 0
Let h be 1/4 - (-244)/(-16). Let l be 20/h*3/(-2). Factor -1/3*x + 1/6 + 1/6*x**l.
(x - 1)**2/6
Let w = 41 - 41. Let q(o) be the first derivative of w*o - 1 - 1/12*o**3 - 1/4*o**2. Factor q(k).
-k*(k + 2)/4
Let j(p) = 9*p**3 - 28*p**2 + 41*p - 17. Let q(n) = n**2 + n - 1. Suppose 0 = -u + 2 + 3. Let o(t) = u*q(t) - j(t). Factor o(b).
-3*(b - 2)*(b - 1)*(3*b - 2)
Let s(q) be the first derivative of 1/15*q**3 - 1/5*q**2 + 3 + 1/5*q. Factor s(h).
(h - 1)**2/5
Let d be (-22)/(-5) - (-4)/(-10). Let r = d + -4. Suppose -f**4 + r*f**4 + f**2 + f - 3*f**3 + 2*f**3 = 0. Calculate f.
-1, 0, 1
Let w(c) be the third derivative of -1/150*c**5 + 0*c + 2/15*c**3 - 2*c**2 + 0 + 1/60*c**4. Factor w(o).
-2*(o - 2)*(o + 1)/5
Suppose -15 = 2*z - 7*z. Let k(j) be the first derivative of 1/3*j**z + j**2 + 2 + j. Suppose k(l) = 0. What is l?
-1
Factor -27/8*r**2 - 15/2*r**3 + 1/4*r + 0 - 31/8*r**4.
-r*(r + 1)**2*(31*r - 2)/8
Let m be 44/(-4) - 0/(-1). Let g(b) = b**3 + 4*b**2 + 2*b - 2. Let i(l) = -5*l**3 - 21*l**2 - 11*l + 11. Let o(a) = m*g(a) - 2*i(a). Factor o(p).
-p**2*(p + 2)
Let m be 2 + 16 + 0 + -2. Suppose m = 2*i - 4*z, -4*i - z + 5*z = -24. Suppose -2/3*n**5 + 0 - 8/3*n**3 + 0*n - 8/3*n**i + 0*n**2 = 0. What is n?
-2, 0
Let z(p) be the first derivative of 1/2*p**2 - 1 + 1/90*p**5 - 1/36*p**4 + 0*p - 1/9*p**3 + 1/180*p**6. Let a(x) be the second derivative of z(x). Factor a(s).
2*(s - 1)*(s + 1)**2/3
Let d = 18/181 + 92/2715. Factor 2/15*n**2 + 0 - d*n**4 + 2/15*n - 2/15*n**3.
-2*n*(n - 1)*(n + 1)**2/15
Let r(p) be the third derivative of -p**7/140 + p**6/20 - 3*p**5/40 - 10*p**2. Determine d, given that r(d) = 0.
0, 1, 3
Solve 4/15*y**4 + 2/5*y**3 - 4/15*y**2 - 2/5*y + 0 = 0.
-3/2, -1, 0, 1
Let w(v) = -v**3 + 3*v**2 - 2*v + 4. Let d be w(2). Find u such that -7/4*u**d - 9/4*u**3 + 1/2 + 9/4*u + 5/4*u**2 = 0.
-1, -2/7, 1
Let c(j) = -21*j - 210. Let a be c(-10). Factor a - 6/5*w**4 - 12/5*w**2 - 13/5*w**3 - 4/5*w - 1/5*w**5.
-w*(w + 1)**2*(w + 2)**2/5
Solve -16*j**2 - 15*j**2 + 60*j + 16*j**2 - 20 - 25*j**3 = 0.
-2, 2/5, 1
Let -3 + 4*s**3 + 9*s**2 - 1 + 8*s - 21*s**2 + 4*s = 0. What is s?
1
Let n = 66 - 329/5. Determine j, given that -3/5*j + n*j**3 - 2/5 + 0*j**2 = 0.
-1, 2
Let 2*a**5 - 5*a**5 - 6*a**3 + 9*a**4 + a**2 - 3*a**3 + 2*a**2 = 0. What is a?
0, 1
Let v(b) be the third derivative of -3*b**7/140 + b**6/12 - b**5/30 + 10*b**2. Factor v(q).
-q**2*(q - 2)*(9*q - 2)/2
Let z(q) be the third derivative of q**7/3780 + q**6/1080 + q**4/24 - 2*q**2. Let c(g) be the second derivative of z(g). Find u, given that c(u) = 0.
-1, 0
Let s(a) = -a**3 + 3*a**2 - 3*a + 2. Let j be s(2). Suppose -50 = -64*o + 78. Let -9/5*f**4 - 3/5*f**o + j + 12/5*f**3 + 0*f = 0. What is f?
0, 1/3, 1
Suppose 3 - 9 = -3*f. Factor j + 4 + f + 1 - 5 - j**2.
-(j - 2)*(j + 1)
Let j(f) be the first derivative of f**6/30 - 2*f**5/25 - f**4/10 + 4*f**3/15 + f**2/10 - 2*f/5 + 4. Find r, given that j(r) = 0.
-1, 1, 2
Let y(i) be the third derivative of -1/15*i**5 + 0*i**7 + 1/15*i**6 - 1/4*i**4 + 0*i + i**2 + 2/3*i**3 - 1/168*i**8 + 0. What is v in y(v) = 0?
-2, -1, 1
Let i(h) be the first derivative of 2*h**2 + 0*h + 4/3*h**3 + 1/4*h**4 - 1. Determine u, given that i(u) = 0.
-2, 0
Let x(k) be the third derivative of k**8/504 + k**7/630 - k**6/180 - k**5/180 - 4*k**2. Solve x(m) = 0.
-1, -1/2, 0, 1
Find x such that 20*x**2 - 14*x - 7*x**4 - 4*x**3 - 5*x**4 - 19*x - 8 + 37*x = 0.
-1, 2/3, 1
Suppose -3*z + 4*m - 18 = -47, -4*z - 2*m = -2. Let y(c) be the second derivative of 0*c**z + 0 + 0*c**2 + 1/36*c**4 - 1/60*c**5 - c. What is f in y(f) = 0?
0, 1
Let 0 - 2/5*x**4 - 6/5*x + 2*x**2 - 2/5*x**3 = 0. What is x?
-3, 0, 1
Let h be 4/(-40) + 4/(-10) + 1. Let d(l) be the first derivative of 2*l + h*l**2 - 1/3*l**3 + 1. Solve d(m) = 0.
-1, 2
Let o(f) be the second derivative of -2*f**6/15 + 3*f**5/5 - 8*f**3/3 + 28*f. Factor o(z).
-4*z*(z - 2)**2*(z + 1)
Let a = -1352/7 - -194. Find j such that 2/7*j**3 - a*j - 4/7 + 0*j**2 = 0.
-1, 2
Let d be (-2)/(5 + -2 - 4). Suppose 1 = -d*t + 3*t. Factor -n - t - 1/4*n**2.
-(n + 2)**2/4
Suppose -3 = -2*o + 5. Factor 41*l**4 - l**2 - 42*l**o - 2*l**3 + 0*l**3.
-l**2*(l + 1)**2
Let r(o) = 4*o**2 + o. Let v(t) = -t**2. Let z(w) = r(w) + 5*v(w). Find x such that z(x) = 0.
0, 1
Let g(m) = m**2 + m + 1. Let w(l) = 26*l**2 + 38*l - 10. Let r(c) = -6*g(c) + w(c). Let r(s) = 0. Calculate s.
-2, 2/5
Let t(y) be the third derivative of y**5/40 + y**4/16 - 2*y**2. Suppose t(f) = 0. What is f?
-1, 0
Determine q, given that 1/4*q**3 +