*2 = 0.
-1, 6
What is s in -s - 4*s**2 + 7 + 3*s**2 - 7 = 0?
-1, 0
Let v(c) be the first derivative of -c**3/3 + 2*c**2 - 3*c - 5. Factor v(o).
-(o - 3)*(o - 1)
Let i(r) be the third derivative of 0*r**5 + 1/210*r**7 + 0 + 0*r + 5*r**2 - 1/12*r**4 + 1/60*r**6 - 1/6*r**3. Suppose i(h) = 0. What is h?
-1, 1
Let j(u) be the second derivative of u**6/40 - 3*u**5/40 + u**4/16 - 6*u. Factor j(v).
3*v**2*(v - 1)**2/4
Let f = -241/33 + -15/11. Let d = f - -9. Solve 0 + 0*n - 1/3*n**2 + 1/3*n**3 + d*n**4 - 1/3*n**5 = 0.
-1, 0, 1
Let m = 3 - -1. What is h in -2 + 3*h**4 - 3*h**4 - 2*h**m + 0*h**4 + 4*h**2 = 0?
-1, 1
Let p(i) be the first derivative of 4*i**3 - i + 2 - 3*i**3 - 3. Let q(j) = j**2. Let c(t) = -p(t) + 2*q(t). Factor c(f).
-(f - 1)*(f + 1)
What is o in 3/7*o**2 + 24/7*o + 48/7 = 0?
-4
Suppose 5*i + r + 0 - 6 = 0, 4*i - 8 = -4*r. Let f be i/(-2 + 10/4). Factor 0 - 1/3*c - 1/3*c**3 - 2/3*c**f.
-c*(c + 1)**2/3
Suppose -2*d - 2*d - 5*j = -18, 2*j - 4 = 0. Determine b, given that b**4 - b**d - 1/2*b**5 + 0 + 0*b**3 + 1/2*b = 0.
-1, 0, 1
Let c(d) be the third derivative of d**6/360 + d**5/90 - d**4/24 + 21*d**2. Suppose c(x) = 0. What is x?
-3, 0, 1
Let d(q) be the third derivative of q**8/112 + q**7/105 - 3*q**6/40 + q**4/6 - 33*q**2. Let d(w) = 0. Calculate w.
-2, -2/3, 0, 1
Let z(m) be the third derivative of 1/180*m**5 - 1/1260*m**7 + 0 + 6*m**2 + 0*m**3 + 0*m + 1/720*m**6 + 0*m**4. Solve z(d) = 0.
-1, 0, 2
Suppose -25*u = -20*u + 55. Let t(h) = -h**2. Let p(k) = 5*k**2 - k. Let b(z) = u*t(z) - 2*p(z). Factor b(j).
j*(j + 2)
Suppose 2*z = 5*m - z - 29, 5*z - 1 = -4*m. Factor y + 4*y + y - 5*y**2 + m + 7*y**2.
2*(y + 1)*(y + 2)
Let x be (-20)/(-5)*1/2. Let d(b) be the first derivative of 1 + 0*b + 2/21*b**3 - 1/7*b**x + 1/14*b**4 - 2/35*b**5. Find i, given that d(i) = 0.
-1, 0, 1
Let p = -157/3 + 53. Let v(j) be the first derivative of 1/4*j**4 + 0*j - 3/5*j**5 + p*j**3 + 0*j**2 + 3. Solve v(q) = 0.
-2/3, 0, 1
Let t be 4/2*(-2 + 3). Let s = 4 + 4. Factor -2*v**t - 8*v + s*v.
-2*v**2
Let a(f) be the first derivative of f**5/5 - 5*f**4/4 + 8*f**3/3 - 2*f**2 + 10. Find z, given that a(z) = 0.
0, 1, 2
Let j(o) be the second derivative of -o**6/150 + o**5/25 - o**4/20 - 2*o**3/15 + 2*o**2/5 - 4*o. Find d, given that j(d) = 0.
-1, 1, 2
Let x(b) = -6*b**3 + 12*b**2. Let y(o) = -6 + 6 - 13*o**2 + 7*o**3. Let k(a) = -4*x(a) - 3*y(a). Suppose k(r) = 0. What is r?
0, 3
Let r(g) = -g**3 - g**2 + 2*g. Let t(y) = -y**3 + y. Let q(m) = 4*r(m) - 5*t(m). Factor q(x).
x*(x - 3)*(x - 1)
Factor -28*q - 3*q**2 - 75 + 5*q - 7*q.
-3*(q + 5)**2
Let l(o) be the second derivative of o**4/12 - o**3/6 - 8*o. Let x(k) = -2*k**2 + k + 1. Let q(n) = -3*l(n) - x(n). Factor q(c).
-(c - 1)**2
Let h(x) be the third derivative of -x**6/30 - x**5/6 - x**4/3 - x**3/3 - 4*x**2. Factor h(p).
-2*(p + 1)**2*(2*p + 1)
Let y(v) be the third derivative of v**7/735 + v**6/84 + 3*v**5/70 + v**4/12 + 2*v**3/21 + 4*v**2. Factor y(b).
2*(b + 1)**3*(b + 2)/7
Let c(i) be the third derivative of -i**10/529200 + i**8/35280 - i**6/2520 + i**5/30 - 3*i**2. Let l(z) be the third derivative of c(z). Factor l(g).
-2*(g - 1)**2*(g + 1)**2/7
Let h(x) be the first derivative of x**4/24 + x**3/9 - x**2/12 - x/3 - 2. What is a in h(a) = 0?
-2, -1, 1
Let u = -12 - -15. Find c such that -9*c - 6*c**2 + 3*c**5 - 4 + c**3 + 1 + 9*c**4 + 5*c**u = 0.
-1, 1
Let x(y) = -2*y - 6. Let p be x(-4). Suppose 7 = 3*t + 1. Find c, given that 2*c**2 + 2*c**3 - 4*c + t*c**p + 6*c = 0.
-1, 0
Suppose -2*h + 5*h = -3*v - 9, -5*h = 15. Suppose -2/3*d**3 + 4/3*d**4 + 0*d + v*d**2 - 2/3*d**5 + 0 = 0. What is d?
0, 1
Let y(k) be the third derivative of k**7/42 - 5*k**6/12 + 2*k**5 + 25*k**4/12 - 125*k**3/6 + 2*k**2 + 14*k. Solve y(m) = 0.
-1, 1, 5
Let x(a) be the second derivative of 0 - 1/54*a**4 - 16/9*a**2 + 8/27*a**3 + 8*a. Determine q, given that x(q) = 0.
4
Let d(g) be the third derivative of -g**8/84 - 2*g**7/105 + g**6/30 + g**5/15 - 7*g**2. Factor d(o).
-4*o**2*(o - 1)*(o + 1)**2
Let j(a) = -a**5 - 4*a**4 - 8*a**2 + 7*a + 6. Let v(u) = -u**4 - u**2 + u + 1. Let l(h) = -j(h) + 6*v(h). Let l(w) = 0. Calculate w.
-1, 0, 1
Suppose 0*w - 3*g = 4*w - 14, 4*w - 2*g = 4. Let l(k) be the second derivative of k - 4*k**w + 0 - 1/6*k**4 + 4/3*k**3. Determine m, given that l(m) = 0.
2
Let k(z) be the third derivative of 5*z**8/336 - 5*z**7/42 - z**6/12 + 5*z**5/6 + 5*z**4/24 - 25*z**3/6 + 21*z**2. Determine d so that k(d) = 0.
-1, 1, 5
Let n be (-8)/(-1) + 2/2. Suppose 0 = -4*m - 1 + n. Let 3*a**m - 3*a + 2 + 0*a - 2*a**2 = 0. Calculate a.
1, 2
Let p(x) be the third derivative of -x**8/630 - 19*x**7/1575 - 31*x**6/900 - 19*x**5/450 - x**4/180 + 2*x**3/45 - 15*x**2. Find y, given that p(y) = 0.
-2, -1, 1/4
Let v(g) = -5*g**4 + g**3 + g**2 - 3*g - 2. Let l = 11 + -13. Let z(d) = d**4 + d**2 + d + 1. Let b(m) = l*z(m) - v(m). Solve b(k) = 0 for k.
-1, 0, 1/3, 1
Let r(m) be the third derivative of -m**7/70 + 3*m**5/80 + m**4/32 - 4*m**2. Find d such that r(d) = 0.
-1/2, 0, 1
Let g(u) be the first derivative of -5/4*u**4 - 7/2*u**2 + 1/5*u**5 + 1 + 3*u**3 + 2*u. Factor g(q).
(q - 2)*(q - 1)**3
Let c = -720 - -723. Let m(r) = r**2 - 2*r - 1. Let i be m(3). Determine l so that -6/11*l + 0*l**i + 4/11 + 2/11*l**c = 0.
-2, 1
Let g(i) be the third derivative of 7*i**6/12 + 2*i**5/15 - i**4/3 + 5*i**2. Factor g(l).
2*l*(5*l + 2)*(7*l - 2)
Factor 2*t + 2*t**3 - 7*t + t - 2*t**2.
2*t*(t - 2)*(t + 1)
Let 0 - 2/5*g - 1/5*g**2 = 0. What is g?
-2, 0
Let r(i) be the first derivative of -i**6/180 - i**5/45 - 5*i**4/144 - i**3/36 + 4*i**2 - 4. Let v(l) be the second derivative of r(l). Factor v(h).
-(h + 1)*(2*h + 1)**2/6
Let u(b) be the third derivative of 5*b**7/42 - 11*b**6/24 + 7*b**5/12 - 5*b**4/24 - 3*b**2. Factor u(g).
5*g*(g - 1)**2*(5*g - 1)
Find h, given that 19*h**3 + 16*h**2 + 20*h**4 + 0*h**5 - 51*h**3 + h**5 - 5*h**5 = 0.
0, 1, 2
Let r = 1 + -1. Suppose 5*x - 12 = x - 3*t, r = -4*x - 5*t + 4. Factor v**2 + x*v + v - 4*v - 5*v.
v*(v - 2)
Suppose -3*c = -4*t + 31 - 8, -4*t + 4*c + 28 = 0. Find b, given that -8/3*b**4 + 2/3 + 10/3*b**3 + 2*b**t - 10/3*b = 0.
-1, 1/4, 1
Let p(j) = -j - 1. Let l be 0 - -10*(-3)/6. Let d be p(l). Find n, given that -18/5*n**2 + 0 + 48/5*n**3 + 2/5*n - 32/5*n**d = 0.
0, 1/4, 1
Let v(l) be the second derivative of 25*l**8/168 - 4*l**7/21 + l**6/15 - 3*l**2/2 - 4*l. Let g(m) be the first derivative of v(m). Solve g(x) = 0 for x.
0, 2/5
Let c(r) be the first derivative of -r**4/18 - 10*r**3/27 - 8*r**2/9 - 8*r/9 - 15. Factor c(h).
-2*(h + 1)*(h + 2)**2/9
Let l(p) be the second derivative of -p**7/14 - p**6/10 + 3*p**5/10 + p**4/2 - p**3/2 - 3*p**2/2 - 9*p. Determine w so that l(w) = 0.
-1, 1
Let u(d) be the second derivative of -d**6/15 + d**5/5 + d**4/2 - 4*d**3/3 - 4*d**2 - 7*d. Determine q, given that u(q) = 0.
-1, 2
Let c(v) be the second derivative of 0 - 1/4*v**2 - 1/48*v**4 + 3*v - 1/8*v**3. Determine y so that c(y) = 0.
-2, -1
Let p = 0 - 0. Suppose -4*h + w + 16 = p, w + 20 = 5*h - 4*w. Solve h*b**2 - 8 - 8*b**3 + 8 - 2*b**3 = 0.
0, 2/5
Let t(f) be the first derivative of -2/3*f**4 - f - 2*f**2 - 1/10*f**5 - 5/3*f**3 - 2. Let q(s) be the first derivative of t(s). Factor q(c).
-2*(c + 1)**2*(c + 2)
Let s(w) = 11*w**4 + w**3 - w**2 + 9*w - 5. Let n(i) = 6*i**4 + i**3 + 5*i - 3. Let d(p) = -5*n(p) + 3*s(p). Factor d(b).
b*(b - 1)*(b + 1)*(3*b - 2)
Let v(r) = -r**3 + 6*r**2 - 4*r + 1. Let i be v(5). Suppose 3*w - i = -0*w. Suppose -3 - 3*y + 4*y - 10*y - 3 - 3*y**w = 0. What is y?
-2, -1
Let f(c) be the third derivative of c**8/672 - c**7/105 + c**6/120 + c**5/30 - c**4/16 + 25*c**2. Factor f(s).
s*(s - 3)*(s - 1)**2*(s + 1)/2
Let p(y) = -y**3 + y - 1. Let k(x) = 5*x**5 + 5*x**4 + 25*x**3 - 25*x + 25. Let n(z) = k(z) + 25*p(z). Factor n(t).
5*t**4*(t + 1)
Factor 0 - 15/4*n**4 - 9*n**3 - 3/2*n - 27/4*n**2.
-3*n*(n + 1)**2*(5*n + 2)/4
Let 1/4 + x**4 - 1/2*x + x**3 - 3/4*x**2 = 0. Calculate x.
-1, 1/2
Solve -2 - 34 - 12*t + 20*t**2 - t**3 - 3*t**3 = 0 for t.
-1, 3
Let o(q) be the first derivative of 2*q**5/45 + 5*q**4/18 + 2*q**3/9 - 5*q**2/9 - 8*q/9 + 2. Let o(l) = 0. What is l?
-4, -1, 1
Let m = -81777/14 + 5838. Let x = m - -433/126. Factor 0 + 2/9*h**2 - x*h.
2*h*(h - 1)/9
Let t(h) = -h**2 - 3*h. Let y be 