 - m*y - 1 - y**4 + 2*y**3 = 0?
-1, 1
Suppose -3*j = -13 + 4. Let b be j*(-3 - (-11)/3). Factor -r - 9*r**b + 9*r - 2*r.
-3*r*(3*r - 2)
Let g(f) be the first derivative of 1 - 2/35*f**5 + 3/7*f**4 - 26/21*f**3 - 8/7*f + 12/7*f**2. Find m, given that g(m) = 0.
1, 2
Let k be 14/91 + 708/130. Suppose -4/5 - 7*h**3 - 59/5*h**2 - k*h = 0. Calculate h.
-1, -2/5, -2/7
Let d(s) be the third derivative of s**5/12 - 15*s**4/8 + 20*s**3/3 - 10*s**2. Suppose d(w) = 0. What is w?
1, 8
Suppose 4 = 34*j + 4. Factor j - 2/9*h**3 - 4/9*h**2 - 2/9*h.
-2*h*(h + 1)**2/9
Let a(l) be the third derivative of 0*l + 0*l**4 + 0*l**6 + 1/490*l**7 + 6*l**2 + 0 + 0*l**5 + 0*l**3. Factor a(u).
3*u**4/7
Let y(k) be the first derivative of -2*k - 1/3*k**3 - 1 + 3/2*k**2. Factor y(o).
-(o - 2)*(o - 1)
Let c(f) be the third derivative of -f**6/120 + f**5/20 + f**3/3 - 2*f**2. Let n(s) be the first derivative of c(s). Factor n(a).
-3*a*(a - 2)
Suppose 0 = -3*o - 3*t + 21, -2*o = -o - 5*t + 17. Let a(y) be the second derivative of o*y - 1/2*y**3 + 1/20*y**5 + y**2 + 0*y**4 + 0. Factor a(i).
(i - 1)**2*(i + 2)
Let x(g) be the second derivative of -g**7/7 - 2*g**6/15 + g**5/10 - 5*g. Factor x(j).
-2*j**3*(j + 1)*(3*j - 1)
Let g be -2 + (-44)/(-19) + 0. Let b = 31/38 - g. Factor 1/2*f - b*f**2 + 0.
-f*(f - 1)/2
Let x be 2 - (-1 + 2 + -1). Let p = -2 + x. Suppose p*y**3 + 0*y**2 + 1/2*y**4 + 0 + 1/2*y**5 + 0*y = 0. What is y?
-1, 0
Let i(m) be the second derivative of -m**5/80 - m**4/24 - m**3/24 - 36*m. Suppose i(a) = 0. What is a?
-1, 0
Let b(s) be the second derivative of s**7/161 - s**6/69 - s**5/115 + s**4/23 - s**3/69 - s**2/23 + 10*s. Find k, given that b(k) = 0.
-1, -1/3, 1
Let h(l) be the first derivative of l**5/15 + l**4/4 - 2*l**2/3 + 8. Solve h(s) = 0 for s.
-2, 0, 1
Let m = 2 + -9. Let y = m + 11. Factor 2*b**4 - 1 + 1 + 2*b**5 - 2*b**3 - y*b**2 + 2*b**2.
2*b**2*(b - 1)*(b + 1)**2
Suppose 16 = 2*b + 2*b, -2*i - 5*b + 28 = 0. Suppose -x**4 + 1 - 3 + i - x**2 - 3*x**3 + 0*x + 3*x = 0. What is x?
-2, -1, 1
Let h be 2/5 + 32/20. Let q be h*(30/9 - 3). Determine y, given that 0 + 0*y - 2/3*y**2 + q*y**3 = 0.
0, 1
Let r(m) be the second derivative of -44/21*m**3 - 5/3*m**4 - 8/7*m**2 - 5/14*m**5 + 0 + 8*m. Find g, given that r(g) = 0.
-2, -2/5
Let q(h) be the third derivative of 2*h**7/105 - h**6/60 - h**5/6 + h**4/12 + h**3 - 2*h**2. Find f such that q(f) = 0.
-1, 1, 3/2
Let r(s) be the third derivative of -s**5/60 - s**4/8 + 2*s**3/3 + 12*s**2. Factor r(o).
-(o - 1)*(o + 4)
Let v(p) be the second derivative of -p**4/42 + p**3/7 - 2*p**2/7 - 6*p. Factor v(a).
-2*(a - 2)*(a - 1)/7
Suppose 6*t - 2*t - 176 = 0. Suppose 7*k - t = 3*k. Factor -7*p + 2*p**2 - 3 + 2*p + k - 3*p.
2*(p - 2)**2
Let x(f) = -8*f**2 - 11*f. Let s(k) = -9*k**2 - 12*k. Let u(d) = 5*s(d) - 6*x(d). Factor u(n).
3*n*(n + 2)
Suppose w - 17 = -j, 2*w - 4*j - 10 = 6. Let a = 44/3 - w. Suppose 0*d**2 + 0*d**3 + a*d**5 + 0 + 0*d + 2/3*d**4 = 0. What is d?
-1, 0
Let w(s) be the second derivative of -4*s**7/21 - 13*s**6/15 - 7*s**5/10 + 11*s**4/6 + 11*s**3/3 + 2*s**2 + 13*s. Determine i so that w(i) = 0.
-2, -1, -1/4, 1
Suppose -8/5 - 2/5*b**5 - 16/5*b + 2*b**3 + 2/5*b**4 - 2/5*b**2 = 0. Calculate b.
-1, 2
Let a(m) be the second derivative of -m**4/16 + 7*m**3/8 - 9*m**2/4 + 25*m. Solve a(p) = 0 for p.
1, 6
Factor -2*y**2 - y**2 - y**2 - 44*y + 0*y**2.
-4*y*(y + 11)
Let j(b) be the second derivative of -b**4/24 + 5*b**3/6 - 25*b**2/4 + 4*b. Factor j(p).
-(p - 5)**2/2
Suppose n - 5 + 3 = 0. Factor -2 + 0 - 9*p + 3*p**n + 5 + 3.
3*(p - 2)*(p - 1)
Let u(y) be the first derivative of -4*y**5/25 + y**4/2 - 8*y**3/15 + y**2/5 + 27. Solve u(f) = 0 for f.
0, 1/2, 1
Solve 8/3 - 4/3*a**3 + 4/3*a - 8/3*a**2 = 0 for a.
-2, -1, 1
Let s(k) be the first derivative of -k**6/480 + k**5/60 - 5*k**4/96 + k**3/12 - 5*k**2/2 + 8. Let g(n) be the second derivative of s(n). Solve g(a) = 0 for a.
1, 2
Let z be (-4)/((-10)/(20/7)). Solve 6/7 + 2/7*f**2 + z*f = 0.
-3, -1
Factor 12/5*u**2 + 3/5*u**3 + 12/5*u + 0.
3*u*(u + 2)**2/5
Determine g so that 0 + 0*g**2 + 2/5*g - 2/5*g**3 = 0.
-1, 0, 1
Let k(s) be the second derivative of 7*s**5/100 - 4*s**4/15 + 2*s**3/15 - 4*s. Factor k(i).
i*(i - 2)*(7*i - 2)/5
Suppose -b**2 - 57*b + 65*b - b**2 - 6 = 0. What is b?
1, 3
Factor 15*d**2 - 3*d**2 + 1 - 1 - 3*d**3.
-3*d**2*(d - 4)
Suppose -l + 11 = 3. Find o such that 0*o**3 + o**3 + o**3 - 3*o + l*o**2 + 9*o = 0.
-3, -1, 0
Let u(l) be the second derivative of l**5/25 + l**4/10 - l**3/5 - 2*l**2/5 + 6*l. Solve u(p) = 0.
-2, -1/2, 1
Let v = 8 - 6. Suppose 0 = -k - k + 6, v = -2*w + 2*k. Factor 3*l**w + 6*l + 4 + 1/2*l**3.
(l + 2)**3/2
Factor 1/4*i**3 + 0 - 4*i + 3/2*i**2.
i*(i - 2)*(i + 8)/4
Let 20*c**2 - 2*c**2 - 28*c**2 - 5*c**3 = 0. Calculate c.
-2, 0
Suppose -5*d + 5*o + 34 - 4 = 0, -d + 12 = -3*o. Let j(w) be the second derivative of 1/25*w**5 - 1/30*w**4 + 2*w + 0 - 1/3*w**d - 2/5*w**2. Factor j(h).
2*(h - 2)*(h + 1)*(2*h + 1)/5
Let p(c) be the third derivative of -c**7/42 + c**6/24 + c**5/12 - 5*c**4/24 - 13*c**2. Determine a, given that p(a) = 0.
-1, 0, 1
Let y = 121 + -119. Let j be (-2)/(-40) - 1/(-5). Factor j*i - 1/4*i**4 + 1/4*i**y - 1/4*i**3 + 0.
-i*(i - 1)*(i + 1)**2/4
Let n(x) = -x**2 + 5*x - 3. Let b be n(3). Let h = 21 - 19. Determine q so that q**2 + h*q + q**b - 2*q = 0.
-1, 0
Let u be (-204)/30*1 + 7. Factor 2/5 - u*q - 1/5*q**2.
-(q - 1)*(q + 2)/5
Let u(b) = -b**3 - 6*b**2 + 2. Suppose 0 = -2*n - 11 - 1. Let i be u(n). Let -3*g + g + g**2 + g**i = 0. What is g?
0, 1
Let z(h) be the second derivative of 0*h**2 + h - 5/6*h**4 - 3/10*h**5 + 0 - 2/3*h**3. Factor z(l).
-2*l*(l + 1)*(3*l + 2)
Factor 8/5*f**3 - 4/5*f + 0*f**4 - 4/5*f**5 + 0 + 0*f**2.
-4*f*(f - 1)**2*(f + 1)**2/5
Let c(f) be the third derivative of f**6/30 - 2*f**5/15 + f**4/6 - 11*f**2. Factor c(w).
4*w*(w - 1)**2
Suppose -2*g + 9 = -9. Let a = -20 - -28. Solve -2*q + 2*q**2 + a + g*q + q = 0.
-2
Let m(t) be the first derivative of -3 + 1/60*t**5 + 0*t**3 + 0*t - 1/240*t**6 - 3/2*t**2 + 0*t**4. Let y(v) be the second derivative of m(v). Factor y(z).
-z**2*(z - 2)/2
Let y be 25/((-525)/162) - -8. Find q, given that 4/7*q - 2/7 - y*q**2 = 0.
1
Let j(z) be the first derivative of -z**6/120 + z**4/8 - 5*z**3/3 + 8. Let v(f) be the third derivative of j(f). Find p, given that v(p) = 0.
-1, 1
Let n(u) = 6*u**2 + 2*u + 7. Let z(d) = d**2 + d + 1. Let p = 8 - 10. Let h(j) = p*n(j) + 10*z(j). Factor h(f).
-2*(f - 2)*(f - 1)
Let g(o) be the first derivative of 2 - 1/5*o**3 - 9/5*o**2 - 27/5*o. Factor g(k).
-3*(k + 3)**2/5
Factor 18/7 + 156/7*h + 458/7*h**2 + 520/7*h**3 + 200/7*h**4.
2*(h + 1)**2*(10*h + 3)**2/7
Let i(v) = 5*v - 30. Let y be i(6). Let k(p) be the third derivative of p**2 - 1/480*p**6 + 0*p**5 + y*p + 1/96*p**4 + 0*p**3 + 0. Factor k(h).
-h*(h - 1)*(h + 1)/4
Determine n, given that 5*n**2 + 631 - 32*n - 601 + 7*n = 0.
2, 3
Let h(u) be the third derivative of 3*u**6/280 - 2*u**5/35 + u**4/8 - u**3/7 - 13*u**2. Suppose h(t) = 0. What is t?
2/3, 1
Let y(r) = -3*r - 10. Let h be y(-5). Let m = 18 - 8. Factor -4*i**h - 4*i**2 - 5*i + 2*i**2 + m*i**4 + 7*i - 6*i**3.
-2*i*(i - 1)**3*(2*i + 1)
Let m(q) be the first derivative of q**7/3780 - q**6/540 + q**5/270 - q**3 - 2. Let x(z) be the third derivative of m(z). Factor x(l).
2*l*(l - 2)*(l - 1)/9
Let f be (-3)/(-5) - 0/(-25). Determine i so that -21/5*i**3 + 36/5*i**4 + 0*i + 0 + f*i**2 = 0.
0, 1/4, 1/3
Let m be (-1)/3 - 161/(-420). Let b(s) be the second derivative of -m*s**5 + 0*s**2 + 0 + 0*s**3 - s - 1/12*s**4. Let b(r) = 0. What is r?
-1, 0
Let r(i) be the second derivative of i**5/140 + i**4/14 + 3*i**3/14 - 24*i. Factor r(b).
b*(b + 3)**2/7
Let t be (-1 - 1) + 4 - -2. Factor -4 + 6*n**t + 11*n**3 - 2*n**2 - 10*n - n**3 + 0*n**4 + 0*n**4.
2*(n - 1)*(n + 1)**2*(3*n + 2)
Let o(p) be the first derivative of -1/9*p**3 + 0*p + 1/12*p**2 + 1/24*p**4 - 6. Factor o(h).
h*(h - 1)**2/6
Let v(d) = -80*d**2 + 36*d - 5. Let o(f) = f**2 - 1. Let x(m) = 3*o(m) - 3*v(m). Factor x(z).
3*(9*z - 2)**2
Let x(h) = 9*h**5 - 6*h**4 - 9*h**3 - 6*h. Let n(z) = -8*z**5 + 6*z**4 + 8*z**3 + z**2 + 7*z. Let q(j) = -6*n(j) - 7*x(j). Determine i, given that q(i) = 0.
-1, 0, 2/5, 1
Let t be (64/12 - 5) + 0. Let x(i) be the second derivative of 