/3, 1/4, 1
Let u(x) be the first derivative of x**4/42 - 3*x + 5. Let f(r) be the first derivative of u(r). Factor f(g).
2*g**2/7
Let d(l) be the second derivative of -l**5/30 + l**3/3 + l**2/2 - 6*l. Let g(c) be the first derivative of d(c). Let g(n) = 0. Calculate n.
-1, 1
Let t = 32/55 - 2/11. Solve -t*d**2 + 0 + 2/5*d = 0 for d.
0, 1
Suppose -9 = -3*h - 0. Factor 6 - 9 - 3*b - b - 2*b - h*b**2.
-3*(b + 1)**2
Let x = -539 + 2697/5. Solve -x - 4/5*a - 2/5*a**2 = 0 for a.
-1
Let f = -287/3 - -97. Suppose 2/3*g**2 - 2/3 + 4/3*g**3 - f*g = 0. What is g?
-1, -1/2, 1
Let o(w) = w**4 - w**3 + w**2 - 1. Let x(b) = 8*b**3 + 8*b**2 - 4*b - 12. Let u(r) = 12*o(r) - x(r). Let u(f) = 0. Calculate f.
-1/3, 0, 1
Let m(v) be the first derivative of v**8/560 - v**7/105 + v**6/50 - v**5/50 + v**4/120 + v**2/2 + 1. Let h(w) be the second derivative of m(w). Factor h(c).
c*(c - 1)**3*(3*c - 1)/5
Let h(n) be the first derivative of n**6/18 - n**5/15 - 5*n**4/12 - n**3/3 + 19. Determine d, given that h(d) = 0.
-1, 0, 3
Let n(g) be the first derivative of -2/9*g**3 + 0*g**2 + 0*g**4 + 1/3*g + 1/15*g**5 + 2. Solve n(j) = 0.
-1, 1
Let h(p) be the first derivative of p**5/210 + p**4/42 + p**3/21 + p**2/2 - 3. Let n(v) be the second derivative of h(v). Factor n(i).
2*(i + 1)**2/7
Let i(c) be the third derivative of -c**6/120 + c**5/60 + c**4/12 + 7*c**2. Factor i(z).
-z*(z - 2)*(z + 1)
Let y(d) = d**2 + d. Let f(p) = -18*p**2 - 10*p + 8. Let t(c) = f(c) + 6*y(c). Factor t(n).
-4*(n + 1)*(3*n - 2)
Let l be 4 - (-3 - 241/(-35)). Let o(v) be the first derivative of 0*v + 0*v**2 - l*v**5 - 2 + 1/14*v**4 + 0*v**3 + 1/21*v**6. Factor o(t).
2*t**3*(t - 1)**2/7
Find s such that -12/11*s**2 + 96/11*s**5 + 24/11 + 582/11*s**3 - 138/11*s + 48*s**4 = 0.
-4, -1, 1/4
Let g = 18 - 19. Let a be (-1)/g - 17/34. Factor 1 - s**2 + a*s - 1/2*s**3.
-(s - 1)*(s + 1)*(s + 2)/2
Let p(x) be the second derivative of -5*x + 0 - 1/2*x**2 - 1/36*x**4 - 2/9*x**3. Factor p(a).
-(a + 1)*(a + 3)/3
Let p = -10 + 21. Solve 6*m**3 + 2*m**4 + 5*m + 5*m - 2*m**5 - 3*m - 2*m**2 - p*m = 0.
-1, 0, 1, 2
Let x(p) = 9*p**4 - 13*p**3 + 8*p**2 - 13*p + 9. Let m(k) = -2*k**4 + 3*k**3 - 2*k**2 + 3*k - 2. Let r(c) = 26*m(c) + 6*x(c). Factor r(t).
2*(t - 1)**2*(t + 1)**2
Let k(c) = -c**3 - 3*c**2 - 2*c. Let v be 4/(-10) + 24/(-15). Let a be k(v). Factor 0*j + 0*j**2 + 0 - 1/4*j**5 + 1/4*j**3 + a*j**4.
-j**3*(j - 1)*(j + 1)/4
Let t be 0/9*1/(-1). Let n(i) be the second derivative of 1/30*i**5 - 1/36*i**4 + i + t*i**2 - 1/18*i**3 + 0. Let n(s) = 0. What is s?
-1/2, 0, 1
Factor 2/17*j**5 - 6/17*j**3 - 2/17*j**4 + 0 - 4/17*j + 10/17*j**2.
2*j*(j - 1)**3*(j + 2)/17
Let w(z) be the second derivative of 0*z**5 - 1/10*z**6 + 0 - 7*z + 1/2*z**4 - 3/2*z**2 + 0*z**3. Factor w(g).
-3*(g - 1)**2*(g + 1)**2
Let f = 14/3 + -3. Factor 2/3 - f*r - 3*r**2 + 5/3*r**3 + 7/3*r**4.
(r - 1)*(r + 1)**2*(7*r - 2)/3
Let d(h) = -h**2 - 2*h - 9. Let f be d(-4). Let y(r) = -4*r**3 + 10*r**2 + 2*r. Let c(b) = 12*b**3 - 29*b**2 - 7*b. Let o(m) = f*y(m) - 6*c(m). Factor o(a).
-4*a*(a - 2)*(a + 1)
Let m be (-15 + 14)/((-4)/2). Factor 1/4*i**3 + 3/4*i**2 + m*i + 0.
i*(i + 1)*(i + 2)/4
Suppose -30 = -2*l + 3*r - 5, 2*l - 4*r - 30 = 0. Factor -2/11*b**l + 0*b**3 + 0*b**2 + 4/11*b**4 + 0*b + 0.
-2*b**4*(b - 2)/11
Suppose 3*i - y = -3, 0*y - 12 = 4*i - 4*y. Let i + 2*n**3 - 4 + 10*n**2 - 2*n - 6*n**3 = 0. What is n?
-1/2, 1, 2
Let m(g) be the first derivative of 1/4*g**2 + 0*g + 9 + 1/4*g**3. Determine a so that m(a) = 0.
-2/3, 0
Let m(j) be the second derivative of j**5/20 - 5*j**4/12 + 3*j**2/2 + 2*j. Let k be m(5). Factor -2*p - k*p**3 - 4*p**2 + 6*p + 4*p**3.
p*(p - 2)**2
Let n(b) be the second derivative of -3*b**5/130 - 7*b**4/39 - 20*b**3/39 - 8*b**2/13 + 19*b. Factor n(h).
-2*(h + 2)**2*(3*h + 2)/13
Let n = 18 - 26. Let d be (-10)/14 - 8/n. Factor 0*a**2 - d*a**3 + 0 + 2/7*a.
-2*a*(a - 1)*(a + 1)/7
Let r(p) be the first derivative of p**7/105 - p**5/30 - p**2 - 2. Let i(q) be the second derivative of r(q). Determine x, given that i(x) = 0.
-1, 0, 1
Let f(s) be the third derivative of 1/12*s**3 - 1/48*s**5 + 0 - 1/32*s**4 + 0*s - s**2. Determine y so that f(y) = 0.
-1, 2/5
Let k be -18 + 22 - (2 - (-4)/5). Find h such that 0 - 2/5*h**3 - 4/5*h + k*h**2 = 0.
0, 1, 2
Let k(l) = -1. Let s(i) = -5*i**3 + 3. Let z(b) = 4*k(b) + s(b). Let m be z(-1). Factor -r + 7*r**m - 2*r**2 - 5*r**3 + r.
r**2*(r - 1)*(7*r + 2)
Let d(j) = j**4 - 4*j**3 + 5*j**2 + j + 3. Let u(g) = g**4 - 4*g**3 + 5*g**2 + 2*g + 4. Let k(h) = 4*d(h) - 3*u(h). Factor k(p).
p*(p - 2)*(p - 1)**2
Let g(q) be the first derivative of 2/7*q - 1 - 12/7*q**4 - 8/7*q**2 + 18/35*q**5 + 44/21*q**3. Factor g(c).
2*(c - 1)**2*(3*c - 1)**2/7
Factor 20*m - 56/5*m**2 + 4/5*m**3 - 48/5.
4*(m - 12)*(m - 1)**2/5
Let t be (4/2)/(12/18). Suppose 2*n + 10 = t*x, 2 = 4*x + 5*n + 4. Factor 0 + 1/5*o**3 - 1/5*o**4 + 2/5*o**x + 0*o.
-o**2*(o - 2)*(o + 1)/5
Let a(q) = 2*q**4 - 6*q**2 + 2*q + 4. Let b(z) = z + 7 + 2*z**4 - 19*z**2 + 6*z + 6 + 4*z**4. Let r(f) = 7*a(f) - 2*b(f). Suppose r(w) = 0. What is w?
-1, 1
Let q(y) = -92*y**2 + 50*y - 14. Let v(a) = a**2 - a - 1. Let s(c) = -q(c) + 6*v(c). Determine m, given that s(m) = 0.
2/7
Let u(s) be the third derivative of 1/560*s**8 - 1/200*s**6 + 1/350*s**7 + 0*s**3 + 4*s**2 + 0 - 1/100*s**5 + 0*s**4 + 0*s. Solve u(q) = 0 for q.
-1, 0, 1
Let p(g) = -g**2 - 1. Let o(i) = 5*i**2 + 6*i + 3. Let k(u) = -o(u) - 3*p(u). Factor k(l).
-2*l*(l + 3)
Suppose -5*y + y - 4*s = -24, 2*y = 4*s + 24. Let m = y + -6. What is h in -4*h + 2*h - 2*h**2 + m + 2*h = 0?
-1, 1
Let f(c) be the third derivative of -c**6/48 + c**5/3 - 5*c**4/4 + 4*c**2 - 8. Factor f(h).
-5*h*(h - 6)*(h - 2)/2
Let a = 6 - 4. Let z(u) be the first derivative of -4/27*u**3 - 1/9*u**4 + 2/15*u**5 - 1/27*u**6 + a - 2/9*u + 1/3*u**2. Factor z(r).
-2*(r - 1)**4*(r + 1)/9
Find k such that -1/4 - 1/4*k**3 + 1/4*k**4 + 1/8*k**5 - 7/8*k - k**2 = 0.
-1, 2
Let n(f) be the first derivative of f**4/4 - 4*f**3/3 + 5*f**2/2 - 2*f + 3. What is m in n(m) = 0?
1, 2
Let d(f) be the first derivative of 0*f**3 + 1/4*f + 1/4*f**2 - 1 - 1/20*f**5 - 1/8*f**4. Solve d(p) = 0.
-1, 1
Suppose -5*n - 3*f = 39, -4*n - n - 4*f = 42. Let p be (-1)/(-2) + (-15)/n. Factor -1/4*x + 1/2*x**4 + 1/4*x**5 - 1/2*x**2 + 0 + 0*x**p.
x*(x - 1)*(x + 1)**3/4
Let 3*r**4 + 0 + 3/2*r**5 + 0*r**2 + 0*r + 3/2*r**3 = 0. What is r?
-1, 0
Let p(c) be the third derivative of -c**5/330 + c**4/66 - c**3/33 + 3*c**2. Factor p(a).
-2*(a - 1)**2/11
Let g(y) = y**2 - 77. Let f be g(-9). Factor 0*v + 0 + 0*v**2 + 6/11*v**3 + 2/11*v**f.
2*v**3*(v + 3)/11
Determine t so that 76/7*t - 2/7*t**2 - 722/7 = 0.
19
Let h(m) be the second derivative of 5*m**7/42 - 2*m**6/3 + m**5 + 5*m**4/6 - 25*m**3/6 + 5*m**2 - 2*m. Determine y, given that h(y) = 0.
-1, 1, 2
Let h be (2*-7)/(-2*1). Suppose -5*s - 3 = 3*j - 33, -j - h = -4*s. Factor 3*i**3 - i**4 + i + 0*i**2 - s*i**2 + 0*i.
-i*(i - 1)**3
Let b(t) be the second derivative of -t**7/4200 - t**6/900 - t**5/600 - 11*t**3/6 + 7*t. Let h(o) be the second derivative of b(o). What is x in h(x) = 0?
-1, 0
Let c(m) be the first derivative of 0*m - 4 + 2/5*m**3 - 1/5*m**2. Factor c(s).
2*s*(3*s - 1)/5
Let z(r) be the first derivative of 2*r**3/21 - 3*r**2/7 - 8*r/7 - 2. Factor z(v).
2*(v - 4)*(v + 1)/7
Let t(j) be the second derivative of -1/2*j**2 + 0 - 1/6*j**3 - 3*j + 1/20*j**5 + 1/12*j**4. Factor t(z).
(z - 1)*(z + 1)**2
Suppose -2 = -2*u + 6, -5*u + 8 = -4*t. Solve -5*l - 7*l**t + l + 3*l**3 + 2*l**3 - 6*l**2 = 0 for l.
-2, -1, 0
Let v be (-4)/(-6) + (-32)/(-6). Let m(y) = -y**3 + 5*y**2 + 5*y + 8. Let h be m(v). Factor 15*d**h + 4*d**3 - 5*d**2 + 4*d + 0*d.
2*d*(d + 2)*(2*d + 1)
Let c(s) be the second derivative of s**4/6 - 3*s**2 + 2*s. Let u(f) = -2*f**2 + 7. Let v(q) = -5*c(q) - 4*u(q). Factor v(j).
-2*(j - 1)*(j + 1)
Let x(h) = 3*h**2 + 3. Let z = 11 + -5. Let f(a) = -a**2 - a - 1. Let b(k) = z*f(k) + x(k). Suppose b(n) = 0. Calculate n.
-1
Let m(f) = -f**3 - 10*f**2 - 8*f + 11. Let a be m(-9). Suppose 1 - 28*u**3 - 49*u**4 - 12*u + 45*u**a + 40*u + 3 = 0. What is u?
-1, -2/7, 1
Factor 18/7 + 2/7*c**2 - 12/7*c.
2*(c - 3)**2/7
Let k(l) = l**5 - l**4 - 2*l**3 - 3*l**2 + l. Let u(v) = -v**4 + v**3 - v**2 + v. Let f = 30 + -27. 