of -y**5/15 - 8*y**4/3 - 128*y**3/3 + 10*y**2. What is l in h(l) = 0?
-8
Let s(i) be the second derivative of i**7/315 - i**6/90 - 3*i**2/2 - i. Let m(q) be the first derivative of s(q). Determine j so that m(j) = 0.
0, 2
Let n(m) be the first derivative of 5*m**6/6 + 2*m**5 - 10*m**3/3 - 5*m**2/2 - 9. Suppose n(c) = 0. What is c?
-1, 0, 1
Let z(a) be the first derivative of a**6/33 - 4*a**5/55 - 3*a**4/22 + 8*a**3/33 + 4*a**2/11 + 4. Find h such that z(h) = 0.
-1, 0, 2
Let x(n) be the third derivative of -n**5/60 + n**4/12 - n**3/6 - 3*n**2. Factor x(a).
-(a - 1)**2
Let o be (8/12)/(1/9). Let m = o - 4. Suppose 27*w**2 + m*w + 2*w**3 - 21*w**2 + 2*w = 0. What is w?
-2, -1, 0
Let k(j) be the second derivative of j - 1/189*j**7 + 2/135*j**6 + 1/27*j**3 + 0*j**5 - 1/27*j**4 + 0 + 0*j**2. Factor k(a).
-2*a*(a - 1)**3*(a + 1)/9
Solve 0*v**3 - 3/2*v**5 + 3/2*v + 0 + 3*v**4 - 3*v**2 = 0.
-1, 0, 1
Suppose -12 = -7*h + h. Let x(y) be the second derivative of 0 + 0*y**3 - 3*y + 1/48*y**4 - 1/8*y**h. Factor x(b).
(b - 1)*(b + 1)/4
Let l(s) be the first derivative of 7/2*s**4 + 1 + 8/7*s - 24/7*s**2 + 2*s**3. Factor l(o).
2*(o + 1)*(7*o - 2)**2/7
Suppose -4*x + 2*x + 3 = -3*y, 2 = 4*x - 2*y. Factor 2/7*d**5 + x + 4/7*d**4 + 0*d + 0*d**3 + 0*d**2.
2*d**4*(d + 2)/7
Suppose 5*v - 10 = -0. Let s(d) be the first derivative of 2 - 2*d - 2*d**v - 2/3*d**3. Factor s(a).
-2*(a + 1)**2
Factor -6*u**2 - 6/7 - 48/7*u.
-6*(u + 1)*(7*u + 1)/7
Let c = -97 + 97. Solve -2/3*y**2 + 0*y - 1/3*y**3 + c = 0.
-2, 0
Factor 49/9*o**4 - 116/9*o + 266/9*o**3 + 20/9 + 9*o**2.
(o + 1)*(o + 5)*(7*o - 2)**2/9
Let t(g) be the first derivative of g**6/6 + 2*g**5/5 - g**4/4 - 2*g**3/3 - 8. Solve t(k) = 0.
-2, -1, 0, 1
Let m(k) be the third derivative of 3*k**2 - 1/21*k**4 + 0 + 1/70*k**5 - 4/21*k**3 + 0*k. Let m(h) = 0. Calculate h.
-2/3, 2
Let i be (-1)/(10/(-8) + 1). Find z such that 2*z - i*z - 4*z**2 + 0*z**2 + 3*z**2 = 0.
-2, 0
Let u(j) = -j**3 - j**2 + j + 1. Let a(t) = -3*t**5 - 9*t**4 - 10*t**3 + 2*t**2 + 13*t + 7. Let p(x) = a(x) - 4*u(x). Suppose p(i) = 0. What is i?
-1, 1
Find w, given that 9*w**2 - 4*w - 24*w**3 - 2*w**4 + 14*w**4 - 4*w**5 + 4*w**4 + 7*w**2 = 0.
0, 1
Factor 0*x**2 + 2/3*x - 2/3*x**3 + 0.
-2*x*(x - 1)*(x + 1)/3
Let k(g) be the third derivative of 0 + 2*g**2 - 1/30*g**5 - 2/3*g**3 + 0*g + 1/4*g**4. Factor k(j).
-2*(j - 2)*(j - 1)
Determine v so that -4/5*v**3 + 12/5*v**2 + 0*v - 16/5 = 0.
-1, 2
Let o(r) be the first derivative of 0*r - 1/6*r**6 - 4/5*r**5 - 1/2*r**2 - 4/3*r**3 + 1 - 3/2*r**4. Factor o(x).
-x*(x + 1)**4
Suppose -6 = -f - 2*f. Determine u so that 6*u**2 - f*u - 10*u - 4*u**2 + 18 = 0.
3
Suppose b - 4 - 1 = 0. What is v in v**5 + 2*v**4 - b*v**5 - 14*v**4 + 10*v**2 + 6*v**2 = 0?
-2, 0, 1
Let b = -7 - -10. Find v such that -27*v**4 + 0 - 90*v**3 + 30*v**2 - b - v - v + 81*v**5 + 11*v = 0.
-1, -1/3, 1/3, 1
Let k(h) be the second derivative of -3*h**6/160 + h**5/12 - 13*h**4/96 + h**3/12 - h**2 + 3*h. Let c(p) be the first derivative of k(p). Factor c(a).
-(a - 1)**2*(9*a - 2)/4
Let r(j) be the third derivative of 1/27*j**3 + 0 + 1/270*j**5 - 1/54*j**4 - j**2 + 0*j. Factor r(o).
2*(o - 1)**2/9
Let j be ((-2)/(-3))/(8/(-1) + 16). Let u(v) be the first derivative of 0*v - 2/3*v**2 + 4/9*v**3 - 3 - j*v**4. Factor u(g).
-g*(g - 2)**2/3
Let c(t) = -2*t**3 + 2*t**2 - 9*t + 3. Let h(u) = -3*u**3 + 3*u**2 - 10*u + 4. Let n(a) = -4*c(a) + 3*h(a). Factor n(o).
-o*(o - 3)*(o + 2)
Let s(k) = 23*k**4 + 8*k**3 - 6*k**2 - 3*k - 3. Let y(j) = -160*j**4 - 55*j**3 + 40*j**2 + 20*j + 20. Let b(a) = -20*s(a) - 3*y(a). Factor b(q).
5*q**3*(4*q + 1)
Suppose -2*m = -16 - 14. Suppose 5*b - m + 5 = 0. Factor -2*r**3 - 2*r + 3*r + r**3 - r**b + r**4.
r*(r - 1)**2*(r + 1)
Let t(g) be the second derivative of -g**5/20 - g**4/4 + g**3/6 + 3*g**2/2 - 5*g. Solve t(f) = 0.
-3, -1, 1
Factor -12*z**3 - 12*z - 6*z**3 + 15*z**2 + 7*z + 3*z**3 + 5*z**4.
5*z*(z - 1)**3
Let n be -7*((-24)/(-14) - 2). Suppose 2*c = 5*c. Factor -4 + c*b**2 + b**n - 2*b + 5.
(b - 1)**2
Determine q so that -3*q**5 + 6*q**3 - 2*q**2 + 3*q**4 - 6*q - q**2 + 3*q**3 = 0.
-1, 0, 1, 2
Let r(d) be the third derivative of d**5/40 - d**4/8 + d**3/4 - 8*d**2. What is y in r(y) = 0?
1
Let -25*q - 7*q**2 - 57*q + 18*q - 21*q**2 - 16 = 0. Calculate q.
-2, -2/7
Let k = 3 - -1. Suppose k*g = 2*g + 2. Factor 0*a + 2*a**2 + 0*a - g - a**4 + 0*a**4.
-(a - 1)**2*(a + 1)**2
Let d be (-33)/144*-4 + (-2)/3. Let i = 4 + -3. Find x, given that -x + d*x**2 + i = 0.
2
Let w(f) be the second derivative of -f**5/60 + f**4/6 - f**3/2 - 5*f**2/2 - 6*f. Let q(r) be the first derivative of w(r). Suppose q(z) = 0. Calculate z.
1, 3
Factor 0*s**5 - s**2 - 12*s**4 - 5*s**2 - 15*s**3 - 3*s**5.
-3*s**2*(s + 1)**2*(s + 2)
Let l(h) be the first derivative of 2*h**6/3 + 52*h**5/5 + 67*h**4 + 228*h**3 + 432*h**2 + 432*h + 48. Suppose l(r) = 0. What is r?
-3, -2
Let p(o) be the first derivative of -o**7/3360 + o**6/1440 + 2*o**3/3 + 1. Let r(g) be the third derivative of p(g). Factor r(c).
-c**2*(c - 1)/4
Suppose z = -2*y - 1, 2*z = 7*z + 5*y + 10. Let x be -3 - 0 - (-2 + z). Factor -14/5*p - 4/5 - 16/5*p**x + 4/5*p**4 - 4/5*p**3 + 2/5*p**5.
2*(p - 2)*(p + 1)**4/5
Let g(t) be the second derivative of -t**5/5 + 2*t**3/3 + t. Solve g(c) = 0 for c.
-1, 0, 1
Let b(f) be the first derivative of -f**5/150 - f**4/90 + f**3/45 + f**2/15 - 2*f - 4. Let g(s) be the first derivative of b(s). Let g(h) = 0. Calculate h.
-1, 1
Let f be 3/2*4/2. Find a such that -2*a**2 + 3*a + 5*a + f - 11 = 0.
2
Let z(i) be the second derivative of i**7/2520 + i**6/180 + i**5/30 - i**4/3 - 5*i. Let j(f) be the third derivative of z(f). Let j(g) = 0. What is g?
-2
Let i(w) = -2*w**2 + 2*w - 2. Let m(v) = -2*v**2 + 3*v - 3. Let g be 12/(((-20)/(-25))/((-6)/(-15))). Let b = -9 + 4. Let a(z) = b*i(z) + g*m(z). Factor a(l).
-2*(l - 2)**2
Let k(i) be the third derivative of i**8/2016 - i**7/252 - i**6/144 + 5*i**5/72 + 5*i**4/18 + 4*i**3/9 - 8*i**2. Factor k(w).
(w - 4)**2*(w + 1)**3/6
Let m(b) be the third derivative of b**5/40 + 7*b**4/16 + 3*b**3 - 2*b**2 + 4. Factor m(c).
3*(c + 3)*(c + 4)/2
Let s(k) = 4*k**3 + 5*k**2 - 17*k - 8. Let v(q) = -4*q**3 - 6*q**2 + 18*q + 8. Let a(i) = -6*s(i) - 5*v(i). Solve a(o) = 0 for o.
-1, 2
Let j(m) be the first derivative of -2*m**5/15 - 2*m**4/3 - 8*m**3/9 + 2. Factor j(p).
-2*p**2*(p + 2)**2/3
Let j be (0 - (-2 + 1))*2. Factor -5*b**3 - 3*b**j + b**3 + 3*b**2 - 4*b**2.
-4*b**2*(b + 1)
Factor 0*c + 0 - 2/3*c**3 + 0*c**2.
-2*c**3/3
Factor 2*b**3 - 6*b**2 + 6*b - 2 + 0*b**2 + 5*b**3 - 5*b**3.
2*(b - 1)**3
Suppose -14 = -4*l + x + 1, -2*x = -2*l + 6. Solve -6*b - 64/3*b**l + 0*b**3 + 44/3*b**2 + 2/3 = 0.
-1, 1/4, 1/2
Suppose -3*d + 0*t + 9 = -3*t, -18 = -2*d - 4*t. Factor -13*o**4 - 2*o**d + 3*o**5 + 12*o**4.
o**4*(o - 1)
Let p = 479/35 - 67/5. Factor p*z**3 - 6/7*z + 0*z**2 - 4/7.
2*(z - 2)*(z + 1)**2/7
Suppose 17*h**4 + 4*h**2 - 8*h**4 + 8*h**3 + 2*h**4 - 7*h**4 = 0. Calculate h.
-1, 0
Let r(h) = 3*h**3. Suppose -2 + 5 = 3*i. Let q be r(i). What is a in -a**q - 2*a - a**2 - a**4 + 2*a - a**3 = 0?
-1, 0
Suppose 0 = -2*p + 3*x - 87, -3*p + 93 = -5*p + 5*x. Let y be (-3)/(-1) - (-91)/p. Factor 2/3*n**2 - y*n**4 - 2/3*n**3 + 2/3*n**5 + 0*n + 0.
2*n**2*(n - 1)**2*(n + 1)/3
Let f(q) be the third derivative of -1/120*q**6 + 1/210*q**7 + 3*q**2 + 0 + 0*q + 1/48*q**4 + 1/672*q**8 + 1/6*q**3 - 1/30*q**5. Find o such that f(o) = 0.
-2, -1, 1
Let m(n) be the second derivative of 3*n**5/20 + 5*n**4/12 - 2*n**3/3 - 2*n**2 + 9*n. Factor m(d).
(d - 1)*(d + 2)*(3*d + 2)
Let o(i) = -i**2 - 2*i + 2. Let t(a) = -1. Let j(g) = -g**2 - 2*g + 2. Let c be j(-2). Let b(m) = c*o(m) + 6*t(m). Factor b(n).
-2*(n + 1)**2
Let n be -4*(-2)/(-24)*(-9)/4. Solve 3/4*j**3 - 3/2*j**2 - n*j + 3/2 = 0 for j.
-1, 1, 2
Let y(r) = -4*r - 1. Let x be y(-1). Let -162*p**5 + 30*p**x + 556/9*p**2 - 184/9*p - 216*p**4 + 16/9 = 0. Calculate p.
-1, 2/9
Factor -5*i - 2*i + 2*i**2 + 50 - 13*i + 0*i.
2*(i - 5)**2
Let y(x) = x**3 + 5*x**2 - 5*x + 8. Let t be y(-6). Suppose -f - 2 + 2*f**t - f**3 + 3*f**3 - f = 0. What is f?
-1, 1
Let f = 78 + -76. Factor 4/3*n**f + 2/3*n**3 + 0 + 0*n.
2*n**2*(n + 2)/3
Let a = 107/74 - -2/37. Let d = -16 + 35/2. Factor 1/2 + 1/2*x**3 + d*x + a*x**2.
(x + 1)**