actor w(h).
4*(h - 37)**2
Suppose -2*u + 3 = -5. Solve -4 + 8*w - 4*w + 4*w**2 - u = 0 for w.
-2, 1
Let a(y) be the first derivative of -y**5/10 - y**4/8 + y**3 + y**2 - 4*y + 798. Suppose a(r) = 0. Calculate r.
-2, 1, 2
Suppose 3*q = 4*q - 2. Factor 3*k**2 + 4*k + k**4 - 4*k**q + k**3 - 5*k.
k*(k - 1)*(k + 1)**2
Let a(r) = -r**3 - 19*r**2 - 10*r - 96. Let i be a(-19). Let p = i + -1220/13. Let 20/13*o + 50/13 + p*o**2 = 0. Calculate o.
-5
Let n(z) = z**2 + 4*z + 4. Let s be n(-2). Let y be ((-1)/(-15))/((-4)/(-24)). Determine r, given that 0*r**2 + 0 - y*r**4 + s*r - 4/5*r**3 = 0.
-2, 0
Let h(f) be the first derivative of f**3 + 3*f**2/2 - 94. Factor h(s).
3*s*(s + 1)
Let i(s) be the second derivative of 4*s**7/21 - 26*s**6/15 + 6*s**5/5 + 36*s**4 - 144*s**3 + 162*s**2 + 77*s. Factor i(x).
4*(x - 3)**3*(x + 3)*(2*x - 1)
Let i be 14/(-20) + 2*2/4. Let r(a) be the second derivative of 1/150*a**6 + 4/5*a**2 + 7/100*a**5 + 0 + i*a**4 + 2/3*a**3 - 5*a. Factor r(k).
(k + 1)*(k + 2)**3/5
Let c(m) be the second derivative of m**6/60 - 11*m**2/2 + 4*m. Let n(o) be the first derivative of c(o). What is y in n(y) = 0?
0
Let u(d) be the second derivative of -d**4/4 + 69*d**3/2 + 105*d**2 + 2*d - 78. Find z, given that u(z) = 0.
-1, 70
Suppose -5*d + b = -5, 3*b + 1 = 3*d - 14. Factor -4 + d*j**3 + 3*j**3 + 4*j**2 - 2*j - j**3.
2*(j - 1)*(j + 1)*(j + 2)
Let p(c) = 37 - 8*c + 7*c**2 - 21 - 19. Let y(l) = l**2 - l - 1. Let x(b) = p(b) - 4*y(b). Solve x(n) = 0.
1/3, 1
Let i be 4/(-7) + 296/28. Suppose 3*v - 1 = -2*x, 4*x + x = 5*v - i. Factor -3*w**4 - w**4 + 3 - v - 4*w**2 + 6*w**4.
2*(w - 1)**2*(w + 1)**2
Let v be -2 + 5/5 + 4. Let a be v/15 + 145/275. Find l such that 0*l + 2/11*l**4 + a*l**2 + 0 - 8/11*l**3 = 0.
0, 2
Let k(l) be the third derivative of -l**5/180 + l**4/72 + 117*l**2. Factor k(p).
-p*(p - 1)/3
Let g(s) be the second derivative of 1/20*s**6 + 0 + 0*s**4 + 22*s + 0*s**5 + 0*s**3 + 0*s**2 - 1/7*s**7. Solve g(o) = 0.
0, 1/4
Let z be ((-68)/(-14))/(((-1)/1)/(-3)). Let s = z - 496/35. Factor 2*p - 2/5*p**3 + 6/5 + s*p**2.
-2*(p - 3)*(p + 1)**2/5
Suppose -8*k - 2/5*k**3 + 42/5*k**2 + 0 = 0. Calculate k.
0, 1, 20
Let t = 8/2123 + 1922/2123. Let -4/11 + 6/11*x**2 - t*x = 0. Calculate x.
-1/3, 2
Let t = -6026 + 6028. Factor 1/6*c**t - 2/3 + 2/3*c - 1/6*c**3.
-(c - 2)*(c - 1)*(c + 2)/6
Let j(t) = -1 + 0*t - 1 + t + 0. Let a be j(5). Factor 3*q**3 + a*q**2 + 2*q + 3*q - 5*q.
3*q**2*(q + 1)
Let s = 7605 - 38024/5. Factor -1/5*p**4 + s*p**2 + 0 + 2/5*p - 2/5*p**3.
-p*(p - 1)*(p + 1)*(p + 2)/5
Factor -g**2 - 11/7*g - 5/7 - 1/7*g**3.
-(g + 1)**2*(g + 5)/7
Let a be 1 + 55/77 + 6/21. Let i(c) be the first derivative of 3/5*c**2 + 1/5*c**3 + 3/5*c - a. Suppose i(w) = 0. What is w?
-1
Let q be (4 - -4 - 5)/1. Factor -45*j**2 + q*j + 53*j - 81*j**3 + 12 - 8*j.
-3*(j + 1)*(3*j - 2)*(9*j + 2)
Let o(i) be the second derivative of i**7/357 + i**6/51 + i**5/17 + 5*i**4/51 + 5*i**3/51 + i**2/17 + 3*i + 1. Determine n so that o(n) = 0.
-1
Let i = 41 - 77/2. Let u be 72/(-132)*(-33)/9. What is c in i*c**u - 3 - 13/2*c = 0?
-2/5, 3
Let l(t) be the third derivative of -t**7/2520 - t**6/60 - 3*t**5/10 - t**4/12 - 4*t**2. Let x(g) be the second derivative of l(g). Factor x(b).
-(b + 6)**2
Suppose -240*h + 252*h = 0. Let z(c) be the second derivative of 2/15*c**3 + h + 0*c**2 + 15/14*c**7 + 5*c - 1/15*c**4 + 1/5*c**6 - 59/100*c**5. Factor z(k).
k*(3*k - 1)**2*(5*k + 2)**2/5
Let j(z) be the first derivative of 0*z - 1/22*z**4 + 6/55*z**5 + 17 - 2/11*z**3 - 1/33*z**6 + 2/11*z**2. What is h in j(h) = 0?
-1, 0, 1, 2
Let r(k) be the third derivative of -k**6/480 + 17*k**5/120 + 71*k**4/96 + 3*k**3/2 - 3*k**2 + 36. Factor r(h).
-(h - 36)*(h + 1)**2/4
Let f = 0 - -10. Factor 3*m**2 - 3*m**3 + m**2 + 6*m**3 - f*m**2 - 9*m.
3*m*(m - 3)*(m + 1)
Solve 40/3*l + 2/3*l**2 - 14 = 0.
-21, 1
Determine a, given that -18/5*a**3 + 0 + 6/5*a**4 + 2/5*a**5 - 46/5*a**2 - 24/5*a = 0.
-4, -1, 0, 3
Let g(d) be the third derivative of d**9/90720 - d**8/15120 + d**5/20 - d**4/6 - 50*d**2. Let i(t) be the third derivative of g(t). Factor i(j).
2*j**2*(j - 2)/3
Let u(y) = -260*y**3 - 2505*y**2 - 10585*y - 11030. Let i(d) = 19*d**3 + 179*d**2 + 756*d + 788. Let m(t) = -55*i(t) - 4*u(t). Suppose m(k) = 0. Calculate k.
-2, 39
Let k(u) be the first derivative of 0*u**2 - u - 1/30*u**5 + 3 - 1/90*u**6 + 0*u**3 - 1/36*u**4. Let q(w) be the first derivative of k(w). Factor q(d).
-d**2*(d + 1)**2/3
Let d(u) be the third derivative of -u**6/600 + 11*u**5/300 - 13*u**4/40 + 3*u**3/2 + 192*u**2. Determine x so that d(x) = 0.
3, 5
Let v be (20/(-30))/(4/(-30)). Determine g so that -18*g + 7*g + 16*g + 10 - v*g**3 - g**2 - 9*g**2 = 0.
-2, -1, 1
Let m(g) = -2*g**3 - 8*g**2 - 18*g + 28. Let w(i) = 4*i - 1. Let o(l) = -m(l) - 8*w(l). Factor o(b).
2*(b - 2)*(b + 1)*(b + 5)
Let p(o) be the third derivative of o**6/60 + o**5/6 - o**4/12 - 5*o**3/3 + o**2 - 26*o. Suppose p(j) = 0. What is j?
-5, -1, 1
Let z(q) be the third derivative of 53/252*q**4 + 2/315*q**5 + 13/63*q**3 + 0*q + 0 - 59*q**2. Factor z(c).
2*(c + 13)*(4*c + 1)/21
Let c(j) = 2*j**4 - 29*j**3 - 11*j**2 + 2*j. Let v(w) = -15*w**4 + 233*w**3 + 90*w**2 - 17*w. Let y(b) = 51*c(b) + 6*v(b). Factor y(g).
3*g**2*(g - 7)*(4*g + 1)
Let g(m) be the third derivative of -27*m**4 - 6*m**2 + 1/112*m**8 + 9/4*m**6 - 27/5*m**5 - 17/70*m**7 + 0*m**3 + 3*m + 0. What is u in g(u) = 0?
-1, 0, 6
Let n = 58 + -56. Factor -3/8*k**4 + 3/8*k**n + 0 - 1/4*k + 1/8*k**5 + 1/8*k**3.
k*(k - 2)*(k - 1)**2*(k + 1)/8
Let t(f) be the second derivative of 0 - 4*f - 1/36*f**4 + 1/6*f**3 + 2/3*f**2. Factor t(y).
-(y - 4)*(y + 1)/3
Let u(d) be the second derivative of -d**4/12 + 5*d**3/6 + d**2 - d. Let m be u(5). Determine s, given that 3*s**3 + 9*s - 2 + m + 3 + 9*s**2 = 0.
-1
Suppose -46*a**2 - 39/2*a - 9/4 - 49/2*a**3 - 15/4*a**4 = 0. Calculate a.
-3, -1/3, -1/5
Let j be 19/165 + (-2)/(-5). Let x = j - 1/3. Let -x*s + 0 + 0*s**3 + 2/11*s**5 - 4/11*s**2 + 4/11*s**4 = 0. What is s?
-1, 0, 1
Let n be 28368/(-640) - 1/(-8). Let q = 47 + n. Find h, given that q*h**2 - 24/5*h - 8/5 = 0.
-2/7, 2
Let g be 0*(830/747 + (-61)/63). Let g + 9/2*l + 3*l**2 - 3/2*l**3 = 0. Calculate l.
-1, 0, 3
Let q(t) = t**2 + 5*t - 3. Let y be q(-6). Factor -7*l**3 - 1 + 1 + 6*l**y.
-l**3
Let v(u) be the third derivative of u**7/3360 + u**6/240 + 3*u**5/160 - u**4/3 + 7*u**2. Let s(i) be the second derivative of v(i). What is t in s(t) = 0?
-3, -1
Find a such that -5/4 - 11/8*a - 1/8*a**2 = 0.
-10, -1
Let g be ((-4350)/168)/(-25) + (-2 - -1). Let w(v) be the first derivative of 1/21*v**3 - 1/7*v - g*v**4 + 1/14*v**2 - 10. Factor w(m).
-(m - 1)**2*(m + 1)/7
Let z = 8/65 - -1/13. Let i(a) be the second derivative of 1/21*a**7 + 1/5*a**5 + z*a**6 - 2*a + 0 - 1/3*a**4 - a**2 - a**3. Factor i(r).
2*(r - 1)*(r + 1)**4
Let s(p) = -p**3 - 16*p**2. Let a be s(-16). Factor -2 + 6*r - 5*r**2 + a*r**3 + 2*r**3 - 3*r**2 + 2*r**2.
2*(r - 1)**3
Let f(u) be the first derivative of -u**5/30 + u**4/3 + 4*u**2 + 5. Let n(b) be the second derivative of f(b). Let n(q) = 0. Calculate q.
0, 4
Let y = 3284/21515 + 2/1655. Let 6/13*s + 0 - y*s**2 = 0. Calculate s.
0, 3
Suppose -6*w = -2*w - 20. Suppose 24 = w*r - 2*q, q = 3*r + 4*q - 6. Factor r*k - k - 2*k**3 - k - k**2 + 8*k**4 - 7*k**2.
2*k*(k - 1)*(k + 1)*(4*k - 1)
Suppose 4*x + 36 = 10*x. Let k(l) be the second derivative of 0 + x*l + 1/18*l**4 + 2/9*l**3 + 0*l**2. What is r in k(r) = 0?
-2, 0
Suppose -24*m - 117*m = 150*m - 70*m. Factor -10/3*a**3 + 0*a - 50/3*a**2 - 1/6*a**4 + m.
-a**2*(a + 10)**2/6
Let j(t) be the second derivative of -t**9/60480 + t**8/13440 - t**6/1440 + t**5/480 + 7*t**4/12 + 14*t. Let s(z) be the third derivative of j(z). Factor s(q).
-(q - 1)**3*(q + 1)/4
Let o be (9 + (-66)/18 + -2)/((-5)/(-6)). Determine h so that 1/3*h**o - 1/6*h**3 + 1/2*h**5 + 0*h + 0 + 0*h**2 = 0.
-1, 0, 1/3
Suppose 5*l = 5*z - 45, -5*l = -4*z + 20 + 16. Determine m so that 0 + 2/7*m**4 + 0*m - 2/7*m**3 + l*m**2 = 0.
0, 1
What is m in 672*m**3 + 258*m - 27 - 45 - 657*m**3 - 201*m**2 = 0?
2/5, 1, 12
Let i(v) = 3*v + 11. Let d be i(-3). Let f be (-18)/(63/(-12)*d). Factor f*r**3 + 6/7*r**2 - 27/7 - 36/7*r - 3/7*r**4.
-3*(r - 3)**2*(r + 1)**2/7
Factor -66*m + 73*m - 14*m**2 - 54 - 64*m 