1, 0, 2
Solve 0 - 3/7*h**3 + 0*h + 36/7*h**2 = 0 for h.
0, 12
Let u(k) be the second derivative of -k**7/105 + 17*k**6/75 - 79*k**5/50 + 47*k**4/30 + 16*k**3/3 - 64*k**2/5 + k - 4. Determine p so that u(p) = 0.
-1, 1, 8
Let m(t) = 9*t**3 - 75*t**2 + 134*t - 46. Let f(v) = 5*v**3 - 38*v**2 + 67*v - 22. Let w(c) = 11*f(c) - 6*m(c). Solve w(d) = 0 for d.
-34, 1
Let z(x) = 9*x**2 - 1112*x + 32392. Let v(m) = -6*m**2 + 740*m - 21595. Let c(b) = 8*v(b) + 5*z(b). Factor c(u).
-3*(u - 60)**2
Let n be 11/(-2)*(-24)/66. Factor -2/5*c**3 + 0*c - 2/5*c**4 + 2/5*c**5 + 2/5*c**n + 0.
2*c**2*(c - 1)**2*(c + 1)/5
Suppose -4/5*s**3 - 2/15*s**4 + 16/15*s**2 + 4/5*s - 14/15 = 0. What is s?
-7, -1, 1
Let w = -873/5 + 177. Suppose -w*q + 8/5 + 0*q**2 + 4/5*q**3 = 0. Calculate q.
-2, 1
Let h(r) be the third derivative of r**7/420 - r**6/240 - r**5/60 + r**2 + 4. Suppose h(y) = 0. Calculate y.
-1, 0, 2
Let t(o) be the first derivative of 0*o + 15 + 14/45*o**5 + 2/9*o**2 + 1/3*o**6 - 11/18*o**4 - 14/27*o**3. Determine p, given that t(p) = 0.
-1, 0, 2/9, 1
Let w(h) be the second derivative of h**5/160 + h**4/32 + h**3/24 + 5*h. Factor w(g).
g*(g + 1)*(g + 2)/8
Let c(q) be the second derivative of 27*q + 0 - 1/60*q**5 - 7/18*q**3 - 5/36*q**4 - 1/2*q**2. Solve c(x) = 0.
-3, -1
Find s, given that -118/7*s**2 + 12/7*s**5 - 10*s**4 + 24/7*s + 8/7 + 144/7*s**3 = 0.
-1/6, 1, 2
Let m(g) be the third derivative of 1/105*g**5 + 0*g**3 + 0*g - 2/735*g**7 + 9*g**2 + 0 + 1/210*g**6 - 1/42*g**4. Factor m(v).
-4*v*(v - 1)**2*(v + 1)/7
Let i(g) be the second derivative of g**9/3528 + g**8/735 + g**7/420 + g**6/630 + 25*g**3/6 - 19*g. Let v(y) be the second derivative of i(y). Factor v(t).
2*t**2*(t + 1)**2*(3*t + 2)/7
Suppose -4*c - 3*q = -3, 2*c + q + 2 = 5. Let j be -1*(-2)/(-2) + 5/c. Factor 0*d**2 + d**3 - 1/3*d + j*d**4 + 0.
d*(d + 1)**2*(2*d - 1)/3
Let b(p) be the second derivative of p**7/42 + p**6/30 - p**5/4 + p**4/4 - 2*p + 39. Solve b(s) = 0 for s.
-3, 0, 1
Let h(a) be the second derivative of -a**4/12 + a**3/3 + 3*a**2/2 - 78*a. Suppose h(y) = 0. Calculate y.
-1, 3
Suppose 18/7*w**2 - 2*w**3 + 2/7*w**4 + 2*w - 20/7 = 0. Calculate w.
-1, 1, 2, 5
Let -1/2*h**2 - h + 3/2 = 0. What is h?
-3, 1
Let k be (-18)/(-27) + (-10)/6. Let h(n) = 9*n**3 + 11*n**2 + 6*n - 4. Let g(o) = o**3 - o**2 - o - 1. Let j(u) = k*h(u) + 4*g(u). Solve j(q) = 0.
-2, -1, 0
Let s(m) = -m**4 - m**3 + m**2 + m - 1. Let k(l) = -8*l**4 - 12*l**3 + 24*l**2 - 4*l - 6. Let q(d) = k(d) - 6*s(d). Determine y so that q(y) = 0.
-5, 0, 1
Let q(s) = s**2 + 2. Let t(k) = 3*k**2 + k + 5. Suppose 3*b = 3, b + 32 = -5*l + 3*b. Let u(g) = -g - 1. Let d be u(l). Let v(w) = d*q(w) - 2*t(w). Factor v(x).
-x*(x + 2)
Let b be -3 + 64/20 + 297/15. Suppose 4*r - b = -5*n, r = 2*n - 0*n + 5. Find f, given that 7/5*f**2 - 2/5*f + n = 0.
0, 2/7
Suppose 33 = 5*s - 2*s. Let j = s - 9. Determine l so that 0*l**4 - 2*l - 4*l**2 - j*l**5 + 8*l**4 - 4*l**4 + 4*l = 0.
-1, 0, 1
Let c(j) be the third derivative of -j**7/2520 - j**6/720 - 3*j**4/4 + 14*j**2. Let t(a) be the second derivative of c(a). Factor t(i).
-i*(i + 1)
Suppose 75*a - 313 = -88. Let 0*q + 0 - 1/9*q**a + 0*q**2 + 1/9*q**4 = 0. Calculate q.
0, 1
Let s = 11026 - 55128/5. Factor 0*l**2 + 0 - s*l + 2/5*l**3.
2*l*(l - 1)*(l + 1)/5
Let p(q) be the second derivative of -q**5/30 + q**3/9 - 67*q - 1. Factor p(h).
-2*h*(h - 1)*(h + 1)/3
Let z(p) be the third derivative of 1/540*p**5 + 1/216*p**4 - 1/27*p**3 + 0 + 0*p - 2*p**2. Factor z(w).
(w - 1)*(w + 2)/9
Let v(t) be the first derivative of -11*t**4/12 + t**3/9 + 11*t**2/6 - t/3 + 166. Find z such that v(z) = 0.
-1, 1/11, 1
Let m(x) = -10*x**4 - 20*x**3 - 4*x**2 - 6. Let s(j) = 21*j**4 + 42*j**3 + 8*j**2 + 13. Let f(k) = 13*m(k) + 6*s(k). What is y in f(y) = 0?
-1, 0
Let x(v) be the third derivative of -v**7/210 - 31*v**6/60 - 359*v**5/20 - 899*v**4/6 - 1682*v**3/3 - 15*v**2 + 8. Suppose x(l) = 0. What is l?
-29, -2
Let h(s) be the second derivative of s**7/42 + 3*s**6/5 + 51*s**5/10 + 34*s**4/3 - 133*s**3/2 - 441*s**2 + 65*s. Factor h(r).
(r - 2)*(r + 3)**2*(r + 7)**2
Let d(m) be the first derivative of -10/3*m**3 + 0*m + 12 + 4*m**2 + 1/2*m**4. Solve d(i) = 0 for i.
0, 1, 4
Let l(n) be the first derivative of -n**6/600 + 3*n**5/100 - n**4/8 - 5*n**3/6 + 33*n**2/2 + 5. Let y(h) be the second derivative of l(h). Factor y(r).
-(r - 5)**2*(r + 1)/5
Let h(r) = -r**2 + 8*r - 10. Suppose -o + 20 = 3*o. Let p be h(o). Find a, given that -3*a - a**4 - 6*a**2 + p*a**4 + 2*a**4 - a**3 + 4*a**3 = 0.
-1, -1/2, 0, 1
Let l(p) be the second derivative of -p**5/150 - 31*p**4/90 - 86*p**3/45 - 56*p**2/15 + 91*p + 1. Solve l(n) = 0.
-28, -2, -1
Factor 0*g**2 - 8/15*g**3 - 32/15 + 2/15*g**4 + 32/15*g.
2*(g - 2)**3*(g + 2)/15
Let l(y) = y**3 - 13*y**2 - 26*y. Let v(h) = -3*h**3 + 27*h**2 + 50*h. Let m(k) = 5*l(k) + 3*v(k). Factor m(o).
-4*o*(o - 5)*(o + 1)
Let p(o) be the first derivative of 4*o**5/25 - 34*o**4/5 + 1156*o**3/15 + 88. Suppose p(i) = 0. Calculate i.
0, 17
Suppose -55 = -3*b - 19. Let s be 9*(-1 + 13/b). Solve 3/2 - 3*i**4 + 3/2*i**2 - 3*i**3 + 15/4*i - s*i**5 = 0 for i.
-2, -1, 1
Let l(b) be the first derivative of -2*b**3/15 + 6*b**2/5 + 14*b/5 - 70. Suppose l(x) = 0. Calculate x.
-1, 7
Let m(a) be the second derivative of a**5/150 - a**3/15 - 2*a**2 - 8*a. Let p(u) be the first derivative of m(u). Determine t, given that p(t) = 0.
-1, 1
Let g(o) be the third derivative of o**9/12096 - o**8/2880 + o**7/2520 + 3*o**5/10 - 10*o**2. Let y(p) be the third derivative of g(p). What is w in y(w) = 0?
0, 2/5, 1
Factor 180 + 26*r**2 + 26*r**2 + 23*r - 80*r**2 + 42*r + 33*r**2.
5*(r + 4)*(r + 9)
Let v = 29 - 33. Let j(d) = d**3 + 3*d**2 - 5*d - 1. Let t be j(v). Determine y, given that 27/4*y + 9/4*y**2 + 27/4 + 1/4*y**t = 0.
-3
Let w be ((-4)/10)/(47/(-235)). Suppose 1/4*o**4 + 0*o + 1/4*o**3 - 1/4*o**w + 0 - 1/4*o**5 = 0. Calculate o.
-1, 0, 1
Let g(w) be the second derivative of -w**10/272160 + w**8/60480 + w**4/3 - 14*w. Let n(z) be the third derivative of g(z). Factor n(k).
-k**3*(k - 1)*(k + 1)/9
Let l be ((-8)/(-50))/2*(32 - 17). Factor 6/5 - l*n**2 - 3/5*n + 3/5*n**3.
3*(n - 2)*(n - 1)*(n + 1)/5
Let s(j) be the first derivative of j**5/4 - 5*j**4/4 + 5*j**3/3 - 7*j + 14. Let m(q) be the first derivative of s(q). Solve m(r) = 0.
0, 1, 2
Let b(r) be the third derivative of -r**8/2016 + r**7/140 - r**6/48 + 7*r**5/360 - 133*r**2 + 2. Suppose b(u) = 0. Calculate u.
0, 1, 7
Let y be ((-20)/24 - -1)*(0/2 - -4). Solve -16*u - 6 - 16/3*u**3 - 44/3*u**2 - y*u**4 = 0.
-3, -1
Suppose 0 = -10*b - 248 - 692. Let c = b + 97. Suppose -9/2*f**5 - 3/2*f**4 - 3*f + 3/2*f**2 + 15/2*f**c + 0 = 0. What is f?
-1, 0, 2/3, 1
Let p(o) be the first derivative of -5*o**6/6 + o**5 + 25*o**4/4 + 5*o**3 - 57. Let p(r) = 0. What is r?
-1, 0, 3
Let l(i) = 2*i**2 - 2*i - 2. Let m be l(-2). Factor -8 + 5*d**3 - 16*d**2 + 4*d**2 + 4*d**4 + 10*d - 9*d**3 + m*d.
4*(d - 1)**3*(d + 2)
Let j(z) = 4*z**2 + 80*z + 339. Let b be j(-6). What is d in 1/5*d**b + 49/5*d + 0 - 14/5*d**2 = 0?
0, 7
Let f(u) be the second derivative of u**4/12 + 7*u**3/3 + 13*u**2/2 - u - 13. Determine x so that f(x) = 0.
-13, -1
Let j(a) = 6*a**5 + 4*a**4 + 24*a**3 + 43*a**2 + 35*a + 3. Let m(x) = -7*x**5 - 3*x**4 - 23*x**3 - 43*x**2 - 36*x - 2. Let f(z) = -6*j(z) - 5*m(z). Factor f(g).
-(g + 1)**3*(g + 2)*(g + 4)
Let n(i) be the third derivative of -i**6/1020 - 3*i**5/34 - 161*i**4/68 + 529*i**3/51 + 14*i**2 - 1. Factor n(v).
-2*(v - 1)*(v + 23)**2/17
Let s(h) be the first derivative of 6/7*h**3 + 3/14*h**4 + 0*h - 20 - 18/35*h**5 - 6/7*h**2 + 1/7*h**6. Let s(a) = 0. Calculate a.
-1, 0, 1, 2
Solve 28*v - 35*v**2 + 25*v**2 + 14*v**2 = 0 for v.
-7, 0
Let h(m) = 3*m**2 + 33*m - 82. Let t(z) = -24*z**2 - 264*z + 657. Let f(n) = 33*h(n) + 4*t(n). Let f(c) = 0. Calculate c.
-13, 2
Suppose -5*f - 40 = -9*f. Suppose -24*z + 19*z + f = 0. Factor 1/3*c + 0 - 1/3*c**z.
-c*(c - 1)/3
Let y(i) be the third derivative of i**7/42 - i**6/24 - i**5/4 + 5*i**4/24 + 5*i**3/3 + 6*i**2. What is d in y(d) = 0?
-1, 1, 2
Let p be (24/(-33))/4 - (-15044)/(-22). Let v be 2/(-17) - p/323. Factor 0*y - 1/4*y**3 + 0 - 1/4*y**v.
-y**2*(y + 1)/4
Suppose -60/7*z**2 + 0*z + 3/7*z**5 + 0 - 12/7*z**3 + 15/7*z**4 = 0. Calculate 