 0*a - z*a**4 - 1/10 + 1/5*a**2 + 0*a**3 = 0 for a.
-1, 1
Suppose -14*v + 15 = -19*v. Let x(w) = -w - 1. Let j(y) = y**2 + 3*y + 5. Let c(b) = v*j(b) - 15*x(b). Let c(f) = 0. What is f?
0, 2
Suppose 2*h = 22 - 10. Let d be -2 + 53/20 + h/(-24). Factor 2/5*y**2 + 4/5*y + d.
2*(y + 1)**2/5
Factor -4*j**3 + 2*j**2 - 41*j**2 - 3*j**2 - 2*j**2 - 112 - 128*j.
-4*(j + 2)**2*(j + 7)
Let b(z) be the first derivative of -z**3 - 33*z**2 + 616. Suppose b(q) = 0. Calculate q.
-22, 0
Let u(j) be the third derivative of j**8/84 - 4*j**7/105 - j**6/6 + 2*j**5/5 - 111*j**2. Determine g so that u(g) = 0.
-2, 0, 1, 3
Let g be (-6)/8 - (-1)/((-12)/63). Let m be (-8)/(g/(-3)) - -6. Factor -2/5*p + 0 - 2/15*p**m.
-2*p*(p + 3)/15
Let n be (-3)/(5 - 4) - 2. Let y be (-40)/(-12)*(-6)/n. Factor 82 + y*u**3 - 82.
4*u**3
Let i(z) be the second derivative of z**4/24 + 3*z**3/4 - 5*z**2/2 + 30*z. Factor i(r).
(r - 1)*(r + 10)/2
Suppose 16/9 + 2/9*b - 16/9*b**2 - 2/9*b**3 = 0. What is b?
-8, -1, 1
Suppose -7*d - 6 + 6 = 0. Let a(j) be the third derivative of j**4 + 5*j**2 - 6*j**3 + 0*j + d - 1/15*j**5. Factor a(t).
-4*(t - 3)**2
Let w(q) = -2*q**2 - 592*q - 42648. Let u(t) = -2*t**2 - 590*t - 42644. Let c(h) = -4*u(h) + 3*w(h). Factor c(p).
2*(p + 146)**2
Let x = -27 - -29. Let y**2 + 4*y**2 - 2*y**2 - 6*y + 0*y**x = 0. Calculate y.
0, 2
Suppose -4*u**2 + 0 + 48/13*u - 2/13*u**4 + 18/13*u**3 = 0. What is u?
0, 2, 3, 4
Let m(x) be the first derivative of 2 + 0*x - 1/72*x**4 + 1/360*x**6 - x**2 - 1/180*x**5 + 1/18*x**3. Let w(b) be the second derivative of m(b). Factor w(t).
(t - 1)**2*(t + 1)/3
What is q in 1/2*q**2 - 1/3*q**3 - 1/6*q**4 + 2/3*q - 2/3 = 0?
-2, 1
Let t be (0/(-2*1))/(-43 + 40). Let d(l) be the third derivative of 0*l**3 + 0*l - 2*l**2 - 1/780*l**6 - 1/390*l**5 + 0 + t*l**4. Factor d(w).
-2*w**2*(w + 1)/13
Let q(z) = -z**2 - 230*z - 11853. Let o be q(-152). Factor -1/2*k + 7/4*k**o + 0 + 5/4*k**2.
k*(k + 1)*(7*k - 2)/4
Let b(j) be the second derivative of -j**5/40 - j**4/8 + 13*j**2/2 - 29*j. Let g(p) be the first derivative of b(p). Factor g(n).
-3*n*(n + 2)/2
Let x = 2262 - 2253. What is a in 1/2*a**5 + 10*a**2 + 0 + 4*a + 7/2*a**4 + x*a**3 = 0?
-2, -1, 0
Factor -2/7*o**4 - 2/7*o**3 + 0*o**2 + 0*o + 0.
-2*o**3*(o + 1)/7
Let w = -2689 - -10757/4. Factor -5/8*g**4 + 1/8*g**5 + w*g + 0 + 9/8*g**3 - 7/8*g**2.
g*(g - 2)*(g - 1)**3/8
Let q = 210131/39399 - 1/13133. Factor -q*z + 3*z**3 + 4/3 - 11/3*z**2.
(z - 2)*(z + 1)*(9*z - 2)/3
Let x(y) be the first derivative of 2*y**5/5 - 4*y**4 + 32*y**3/3 - 111. Factor x(r).
2*r**2*(r - 4)**2
Let j(p) be the first derivative of p**5/40 - 13*p**4/24 + 4*p**3 - 9*p**2 - 20*p - 16. Let x(o) be the first derivative of j(o). Factor x(w).
(w - 6)**2*(w - 1)/2
Let x(j) = 14 + 4 - 4 + 2 - j. Let i be x(12). Let s + 4*s**2 + i*s**5 - 4*s**4 + 2*s**3 + 4*s**3 - 3*s**5 + 8*s**4 = 0. Calculate s.
-1, 0
Let p be (606/9)/(85/15 + -5). Suppose p = 2*t + 101. Factor t - 3/5*i - 3/5*i**2.
-3*i*(i + 1)/5
Let a(s) be the first derivative of -2*s**3/9 - s**2 - 4*s/3 - 118. Solve a(j) = 0 for j.
-2, -1
Suppose -j + 9 + 0 = 0. Suppose 5*n - 12 = s, -2*n - 2*s + j = -n. Factor 6*g - 25*g**3 + 37*g**3 - 16*g**2 - n*g**4 + g**2.
-3*g*(g - 2)*(g - 1)**2
Let h be (-3 - (-2 - -1))*(-7 - -5). Suppose 9*n - 14 = h. Let -2/11*j**4 - 2/11*j**n + 0*j + 0 + 4/11*j**3 = 0. Calculate j.
0, 1
Let q be 64/10 + 4/(-10). Suppose 3*x + q = 5*x. Suppose 18*d - 11*d**2 + 9*d**3 - x - 4*d**4 - 5*d**4 - 25*d**2 + 21*d**3 = 0. What is d?
1/3, 1
Let p(a) be the third derivative of -a**6/96 - a**5/30 - a**4/96 + a**3/12 - 18*a**2 + 4. Factor p(z).
-(z + 1)**2*(5*z - 2)/4
Suppose -2 = -3*r + 4. Suppose 2*y + 3*u - 1 = 0, 2*u = -2*y + y. Find g such that 3*g**2 - g**4 + g**y - 5*g**4 + r*g**3 = 0.
-2/3, 0, 1
Suppose 12 = 4*q - 0. Let k(h) = -h**2 - 1. Let y(l) = -9*l**2 + 24*l - 152. Let j(n) = q*y(n) - 24*k(n). Solve j(s) = 0 for s.
12
Let o be (-285)/(-12) + (-1)/(-4). Let a = o - 20. Determine q so that -3*q**2 + 14*q**4 - 18*q**4 - 9*q**2 - 12*q**3 - a*q = 0.
-1, 0
Factor 3248*l**2 + 110*l - l**4 - 10*l - 19*l**3 - 3328*l**2.
-l*(l - 1)*(l + 10)**2
Suppose -3*i + 12 = 3*g, -g - 13*i + 8*i + 12 = 0. Determine d, given that g*d - 1/2 - 3*d**2 + 2*d**3 - 1/2*d**4 = 0.
1
Let m(v) = 56 - 21*v + 14*v**2 + 6*v**2 - 27*v. Let h(x) = 13*x**2 - 32*x + 37. Let j = 10 - 18. Let s(y) = j*h(y) + 5*m(y). Factor s(f).
-4*(f - 2)**2
Let j(n) be the third derivative of -13/120*n**6 - 1/6*n**4 + 6*n**2 + 0 + 0*n**3 - 1/5*n**5 - 1/35*n**7 + 0*n - 1/336*n**8. Suppose j(g) = 0. Calculate g.
-2, -1, 0
Let x = -9 - -14. Suppose -3*a - 18 = -x*v - 0*a, -4*v + 8 = 4*a. Find o, given that -14 - 8*o + 5*o**2 - 3*o**v - o + 4*o**2 + 17 = 0.
1
Suppose 2*u + m = -u - 47, 3*m - 67 = 4*u. Let w be 48/(-90)*12/u. Factor -w - 2/15*r**2 - 8/15*r.
-2*(r + 1)*(r + 3)/15
Let i be (0 - (-4596)/(-51)) + (-4)/(-34). Let j be (-4)/6 - 80/i. Factor -2/9*g - j*g**2 + 2/9*g**3 + 2/9.
2*(g - 1)**2*(g + 1)/9
Let s(o) be the third derivative of 0*o + 3*o**2 - 1/12*o**4 + 0*o**3 + 1/12*o**5 + 1/40*o**6 + 0. Factor s(u).
u*(u + 2)*(3*u - 1)
Let i(f) be the second derivative of f**6/30 - 7*f**5/20 + 11*f**4/12 + 7*f**3/6 - 6*f**2 + 2*f + 20. Let i(r) = 0. Calculate r.
-1, 1, 3, 4
Let t = -88/9 - -92/9. Determine p, given that -t*p**3 + 2/3*p**5 + 10/9*p**4 + 2/9 - 4/3*p**2 - 2/9*p = 0.
-1, 1/3, 1
Let w = 1757/426 - -3/71. Let n(v) be the first derivative of 40/9*v**3 + 2*v**5 + w*v**4 + 2 + 7/18*v**6 + 2/3*v + 5/2*v**2. What is d in n(d) = 0?
-1, -2/7
Let b(x) be the third derivative of -x**8/24 - 2*x**7/63 + 781*x**6/1260 - 436*x**5/315 + 89*x**4/63 - 16*x**3/21 + 57*x**2. Find y such that b(y) = 0.
-3, 2/7, 4/7, 2/3, 1
Let z(i) = -i**2 + 3*i. Let x(o) = o**2 - 2*o - 1. Let h(w) = -7*x(w) - 6*z(w). Let m be h(-5). Let -23 - 4*r + 12 + 13 + m*r**2 = 0. What is r?
1
Suppose -f + 12 + 9 = -c, 5*f - c = 89. Let t = f + -14. Solve 33*v - 72*v**2 - 3 + v**3 - 39*v**3 - 70*v**t = 0 for v.
-1, 1/6
Solve -2/3*r**3 - 88/3*r - 28/3*r**2 - 80/3 = 0.
-10, -2
Let x(u) = u**4 - 29*u**3 - 168*u**2 + 250*u + 388. Let a(p) = -3*p**4 + 59*p**3 + 337*p**2 - 499*p - 774. Let h(z) = -2*a(z) - 5*x(z). Factor h(k).
(k - 2)*(k + 1)*(k + 14)**2
Let o(f) be the first derivative of -f**4/30 - 4*f**3/15 + f**2 - 22*f + 19. Let h(j) be the first derivative of o(j). Let h(w) = 0. What is w?
-5, 1
Suppose 0 = 5*c - 3*c - 4*d + 32, -23 = 3*c - d. Let o be (3/9)/(-1)*c. Let -28/3*w - 4 - 4/3*w**3 - 20/3*w**o = 0. Calculate w.
-3, -1
Determine r so that -9/5 + 1/10*r**3 - 4/5*r**2 + 21/10*r = 0.
2, 3
Let p(z) be the third derivative of -z**8/756 + 4*z**7/315 - z**6/135 - 4*z**5/27 + z**4/2 - 20*z**3/27 - 32*z**2. Solve p(h) = 0.
-2, 1, 5
Let p(o) = -3*o**3 + 24*o**2 - 36*o + 51. Let q(z) = 6*z**3 - 48*z**2 + 80*z - 101. Let i(a) = -5*p(a) - 3*q(a). Determine s, given that i(s) = 0.
2, 4
Find j, given that -80/3*j**3 + 4/3 + 122/3*j**2 - 46/3*j = 0.
1/8, 2/5, 1
Let g = -114693/7 - -16385. Determine m so that g + 2/7*m**3 + 6/7*m**2 + 6/7*m = 0.
-1
Solve 45/7*f + 0 - 3/7*f**2 = 0 for f.
0, 15
Let b = 1748/5 + -5194/15. Factor 40/3*w**4 - 5*w**5 + 0 + b*w**2 + 0*w - 35/3*w**3.
-5*w**2*(w - 1)**2*(3*w - 2)/3
Let m be 6 - 8 - 15/(-3). Let k(u) be the second derivative of 0 + 0*u**2 - 1/180*u**6 + 1/40*u**5 - 1/36*u**4 - 5*u + 0*u**m. Let k(i) = 0. What is i?
0, 1, 2
Let g(i) be the third derivative of i**8/168 + i**7/35 - i**6/12 - i**5/10 + i**4/3 + 8*i**2 + 4. Factor g(f).
2*f*(f - 1)**2*(f + 1)*(f + 4)
Let a(l) = -4*l**2 - 3*l. Let b(i) = 12*i**2 + 9*i. Let t(m) = -11*a(m) - 4*b(m). Let x(z) = 5*z**2 + 4*z. Let o(j) = -4*t(j) - 3*x(j). Factor o(q).
q**2
Suppose -42*f - 38*f = -15*f - 130. Find y such that 0 - 2/9*y**4 + 10/9*y**3 + 2/3*y - 14/9*y**f = 0.
0, 1, 3
Let g = 3013/5 + -4284/5. Let p = 256 + g. Determine v, given that -p*v + 3/5*v**3 - 6/5 + 0*v**2 = 0.
-1, 2
Let -12 + 21*c**4 + 78*c**3 + 5*c + 2*c + 81*c**2 + 5*c = 0. Calculate c.
-2, -1, 2/7
Let k be (-8 + 5 + 3)/((-1)/(-5)*5). Find c, given that -2/13*c**2 + k*c + 8/13 = 0.
-2, 2
Let h be 16/(-28)*(-105)/90. Let c(p) be the third derivative of 1/15*p**6 + 1/6*p**5 - 7/12*p**4 + 0 - h*p**3 + 6*p**2 + 0*p. Factor c(z).
2*(z - 1)*(z + 2)*(4*z + 1)
Let j(n) be the third derivative of -11*n