*h.
-2*i**3*(7*i + 2)
Let u(a) be the first derivative of -a**5/25 - a**4/20 + a**3/5 + a**2/10 - 2*a/5 - 6. Solve u(i) = 0.
-2, -1, 1
Let b = -29 + 31. Let l(f) be the first derivative of 3/2*f**2 + 2 - b*f + 5/3*f**3. Let l(q) = 0. What is q?
-1, 2/5
Let v be (-4)/5*(-10)/4. Factor 5*f**3 + 2*f**3 + 3*f**v - 4*f**3.
3*f**2*(f + 1)
Suppose 15 = 3*i + 2*z, i = 3*i + 2*z - 12. Let c(f) = -11*f**2 + 4*f - 4. Let g(q) = -4*q**2 + q - 1. Let l(x) = i*c(x) - 8*g(x). Solve l(h) = 0.
2
Solve -3*f + 0*f**2 + f + f**2 = 0 for f.
0, 2
Let t(j) be the first derivative of -6 + 16/3*j**2 - 2/9*j**3 + 8/3*j - 2/3*j**4. Determine s, given that t(s) = 0.
-2, -1/4, 2
Let w(m) = 4*m**2 + m + 3. Let n(p) = 0 - 7*p**2 - 4 - 2*p - 1. Suppose -2 = 2*k - 12. Let x(g) = k*w(g) + 3*n(g). Let x(z) = 0. What is z?
-1, 0
Factor 7/3*g**3 + 3/2*g + 1/6*g**5 + 1/3 + g**4 + 8/3*g**2.
(g + 1)**4*(g + 2)/6
Let j(p) be the second derivative of 0*p**2 + 0*p**4 + 0 + 0*p**3 + 1/60*p**5 + 1/90*p**6 + 3*p. Factor j(x).
x**3*(x + 1)/3
Let b(h) be the first derivative of -h**4/16 - h**3/3 - 3*h**2/8 - 19. Suppose b(d) = 0. Calculate d.
-3, -1, 0
Let v(g) be the third derivative of -1/6*g**5 - g**2 + 1/15*g**6 + 1/6*g**4 + 0 + 0*g - 1/105*g**7 + 0*g**3. Find q such that v(q) = 0.
0, 1, 2
What is a in 0*a - 4/11*a**3 + 4/11*a**5 + 6/11*a**4 - 8/11*a**2 + 2/11 = 0?
-1, 1/2, 1
Let i be (-1)/(-2)*2*(7 + -4). Factor -2/5*s**2 - 38/5*s**4 + 14/5*s**5 + 6*s**i + 0 - 4/5*s.
2*s*(s - 1)**3*(7*s + 2)/5
Let p(x) be the second derivative of x**5/12 - 5*x**4/36 - 5*x**3/9 - 26*x. Factor p(o).
5*o*(o - 2)*(o + 1)/3
Let k(n) be the second derivative of -n**5/50 + n**3/15 - 6*n. Solve k(g) = 0.
-1, 0, 1
Suppose -2*n + 40 = 2*n. Suppose 0 = 5*p - 0*p - n. Factor -y**4 + p*y**2 + 7*y**4 - 2*y**5 - 5*y**3 - y**3.
-2*y**2*(y - 1)**3
Let l(o) be the second derivative of 5*o**4/12 - 15*o**3/2 + 20*o**2 + 3*o - 3. Factor l(w).
5*(w - 8)*(w - 1)
Let u(g) be the second derivative of 0*g**2 - 3/70*g**5 + 3*g + 2/21*g**3 - 1/42*g**4 + 0. Determine l so that u(l) = 0.
-1, 0, 2/3
Suppose 4 = -x + 3*x. Factor 7*g**2 - 2*g - 8*g**x - 2*g**3 + 5*g**2.
-2*g*(g - 1)**2
Let b = 637/5 + -127. Factor 2/5 + 0*n - b*n**2.
-2*(n - 1)*(n + 1)/5
Let f(g) be the second derivative of g**6/10 + g**5/2 + g**4/3 - 4*g**3/3 - 51*g + 1. Factor f(a).
a*(a + 2)**2*(3*a - 2)
Let b(x) = x**3 + 7*x**2 - 8*x + 5. Let m be b(-8). Factor -5*r**3 + 12*r**4 - 13*r**3 - 2*r + 12*r**2 - r - 3*r**m.
-3*r*(r - 1)**4
Suppose -3*w + 2*k = 2, 15 + 10 = -5*w - k. Let q be (-221)/182 - 6/w. What is y in -4/7*y**2 + q*y**5 - 2/7 + 6/7*y**4 + 4/7*y**3 - 6/7*y = 0?
-1, 1
Find s, given that -2*s**2 + 2*s + 2 + 2*s + 6 - 2 = 0.
-1, 3
Let b = -40 - -42. Determine d, given that 1/2*d - b*d**4 + 0 + 4*d**3 - 5/2*d**2 = 0.
0, 1/2, 1
Let r(q) be the first derivative of -35*q**3/3 + 55*q**2/2 - 20*q + 5. What is g in r(g) = 0?
4/7, 1
Let u = -26 + 26. Let c(q) be the third derivative of -2*q**2 - 1/120*q**5 + u - 1/48*q**4 + 0*q**3 + 0*q. Factor c(o).
-o*(o + 1)/2
Let u(t) = -t**2 - 1. Let l(b) = 4*b - 3*b - 2*b + 3 + 10*b. Let f(z) = -l(z) - 3*u(z). Solve f(d) = 0 for d.
0, 3
Let b(p) be the second derivative of p**4/42 + 4*p. Determine g, given that b(g) = 0.
0
Let k = -127 + 129. Determine h, given that 0*h - 2/9*h**k + 0 - 2/9*h**4 + 4/9*h**3 = 0.
0, 1
Let x(l) be the third derivative of -2*l**8/21 + 8*l**7/105 + l**6/5 - l**5/3 + l**4/6 - 4*l**2. Solve x(p) = 0 for p.
-1, 0, 1/2
Let h = -1290 + 6452/5. Factor -2/5*z - 1/5*z**4 + 0 + h*z**3 + 1/5*z**2.
-z*(z - 2)*(z - 1)*(z + 1)/5
Let i(a) = a**3 - 5*a**2 + 3*a + 2. Let g be i(4). Let o be (g/28)/(3/(-24)). Factor 0 + 18/7*y**2 + o*y.
2*y*(9*y + 2)/7
Let j(r) be the second derivative of -1/84*r**7 + 0*r**4 - r + 0*r**2 + 1/30*r**6 + 0*r**3 + 0*r**5 + 0. Find d such that j(d) = 0.
0, 2
Let b(z) = 40*z**5 - 175*z**4 + 385*z**3 - 255*z**2 + 55*z. Let u(d) = -5*d**5 + 22*d**4 - 48*d**3 + 32*d**2 - 7*d. Let m(c) = -3*b(c) - 25*u(c). Factor m(f).
5*f*(f - 2)*(f - 1)**3
Factor 17*j**4 - 3*j**3 - 15*j**4 + 7*j**3.
2*j**3*(j + 2)
Let j(v) be the third derivative of v**6/120 + v**5/24 + v**4/12 + v**3/3 + 2*v**2. Let b(d) be the first derivative of j(d). Determine l, given that b(l) = 0.
-1, -2/3
Let d = -22 + 45/2. Let g be -1 + (-1)/(-2) + 1. Suppose 1 - g*x - d*x**2 = 0. What is x?
-2, 1
Let j = 489/2 + -244. Factor -1/2*n + j*n**2 + 0.
n*(n - 1)/2
Let o(y) be the third derivative of -7*y**6/40 - 19*y**5/20 + 17*y**4/4 - 4*y**3 + 20*y**2. Factor o(z).
-3*(z - 1)*(z + 4)*(7*z - 2)
Let t(w) be the second derivative of w**4/42 - 2*w**3/21 - 8*w**2/7 - 14*w. What is s in t(s) = 0?
-2, 4
Determine g, given that -2/11 - 2/11*g**2 - 4/11*g = 0.
-1
Solve -2*l**5 + 2*l**5 + 12*l**4 - 6*l**2 + 4*l - 6 - 3*l**5 - 12*l**3 + 11*l = 0 for l.
-1, 1, 2
Suppose 5*h + 4*n - 22 = 1, 4*h = -4*n + 20. Suppose 5*s - 4*z - 2 = -2*z, 3*s + 5*z - 26 = 0. What is o in -o**3 + 4*o - s*o - 4*o**3 - h*o**2 = 0?
-1, 0, 2/5
Let k be (2/4)/((-1)/(-4)). Let z be (1 - 3)*(-2)/k. Factor -4/7*h + 6/7*h**z + 0.
2*h*(3*h - 2)/7
Let r(g) be the third derivative of -g**2 - 1/24*g**3 + 1/240*g**5 + 1/96*g**4 - 1/480*g**6 + 0 + 0*g. Factor r(x).
-(x - 1)**2*(x + 1)/4
Let q(j) be the second derivative of -j**6/75 - j**5/100 + j**4/60 - 5*j. Factor q(o).
-o**2*(o + 1)*(2*o - 1)/5
Find l, given that -3/7 - 3/7*l**2 - 6/7*l = 0.
-1
Let a(l) be the second derivative of -l**4/4 - l**3/2 + 3*l**2 - 9*l. Find o such that a(o) = 0.
-2, 1
Let j(m) = 19*m**2 - 20*m + 1. Let d(h) = 37*h**2 - 40*h + 3. Let l(x) = 3*d(x) - 5*j(x). Determine n so that l(n) = 0.
1/4, 1
Let o be (-6)/36*-3*0/(-2). Solve -3/4*d**2 - 1/4*d + o + d**3 = 0.
-1/4, 0, 1
Let w(y) be the first derivative of -y**3/2 - 15*y**2 - 150*y + 22. Determine v so that w(v) = 0.
-10
Let u(f) = -f**2 - 6*f + 6. Let g be u(-5). Solve -2*q**4 + g*q**3 - 5*q**3 - 4*q**3 - 2*q + 2*q**2 = 0 for q.
-1, 0, 1
Let a = -3/5 + 31/10. Let b(p) be the second derivative of -4*p**2 - a*p**4 - 6*p**3 + 2*p - 7/20*p**5 + 0. Let b(f) = 0. Calculate f.
-2, -2/7
Factor 5*d**3 + 7*d**2 - 30*d + 7*d**2 + d**2 + 40*d.
5*d*(d + 1)*(d + 2)
Suppose -6*n + 25 = -n. Suppose 2 = 2*b - 2. Determine j so that -n*j**b + 2*j**3 + 3*j**2 + j**3 = 0.
0, 2/3
Let o(s) = 2*s**2 + s - 2 + 0*s**2 + 0*s. Let g be o(-2). Factor 2*c - 2*c**4 + 4*c**g + 6*c**2 + 0*c**2 + 6*c**3.
2*c*(c + 1)**3
Let q(t) be the third derivative of -t**8/21 - 16*t**7/105 - t**6/8 + t**5/30 + t**4/24 + 6*t**2. Determine h, given that q(h) = 0.
-1, -1/4, 0, 1/4
Solve -23*z**4 - 28*z**3 + 18*z + 4*z**5 + 19*z**4 + 4*z**2 + 6*z = 0 for z.
-2, -1, 0, 1, 3
Let l(h) be the third derivative of -h**5/20 - h**4/4 - 7*h**2. Factor l(j).
-3*j*(j + 2)
Let z(b) be the third derivative of -b**7/2100 + b**6/180 - 2*b**5/75 + b**4/15 - 5*b**3/6 - 4*b**2. Let h(a) be the first derivative of z(a). Factor h(n).
-2*(n - 2)**2*(n - 1)/5
Let i = -3 - -5. Suppose -5*d - 2*d**2 + 5*d + d**i = 0. What is d?
0
Let o(w) be the third derivative of -w**7/70 - w**6/40 - 27*w**2. Suppose o(n) = 0. What is n?
-1, 0
Let i(z) be the first derivative of -1/7*z**2 - 2/35*z**5 + 2/21*z**3 + 0*z + 1/14*z**4 - 1. Let i(s) = 0. Calculate s.
-1, 0, 1
Let g(h) be the second derivative of 2*h**7/21 - 4*h**5/5 + 2*h**4/3 + 2*h**3 - 4*h**2 + 14*h. Find z such that g(z) = 0.
-2, -1, 1
Let r = 1 + -1. Let b be 2 - (-2 + -1 - -2). Factor 0*d - 4*d**2 + r*d - 2*d**b - 2*d.
-2*d*(d + 1)**2
Suppose 3*s = -5*o - 0*o + 1, -5 = 5*o + 5*s. Determine t so that -13/6*t - 19/3*t**3 + 16/3*t**o + 11/3*t**4 - 5/6*t**5 + 1/3 = 0.
2/5, 1
Factor 4 - 4*z + 2*z**2 + 2*z**3 - 6*z + 2*z**3.
2*(z - 1)*(z + 2)*(2*z - 1)
Let g(y) be the second derivative of 2*y**6/15 + y**5/5 - y**4/3 - 2*y**3/3 + y. Solve g(z) = 0.
-1, 0, 1
Let t(p) = -p**4 - p**3 - p - 1. Let f(z) = -z - 1. Let x(s) = -s**3 + 2*s + 1. Let o(l) = -10*f(l) - 6*x(l). Let m(y) = -o(y) - 2*t(y). Factor m(d).
2*(d - 1)**3*(d + 1)
Let n(a) be the second derivative of -a**6/6 + 3*a**5/4 + 5*a**4/12 - 5*a**3/2 + 53*a. Factor n(g).
-5*g*(g - 3)*(g - 1)*(g + 1)
Let w(m) be the second derivative of -m**7/105 - m**6/75 + m**5/25 + 5*m. Factor w(p).
-2*p**3*(p - 1)*(p + 2)/5
Suppose y - 1 = d, -d = 4*d - 5. Let h be (-4)/(-3)*3/y. Factor 2/3*t + 2/3*t**h - 4/3.
2*(t - 1)*(t + 2)/3
