- 4 + 45*c = 0?
-2, 0
Let d = -1283/18054 + 1/306. Let o = 98/295 - d. Factor 0*v + o - 2/5*v**2.
-2*(v - 1)*(v + 1)/5
Let v(q) be the second derivative of -3*q**2 + 2/5*q**6 + 5*q + 5/2*q**3 - 3/5*q**5 - 1/14*q**7 + 0 - 1/2*q**4. Factor v(a).
-3*(a - 2)*(a - 1)**3*(a + 1)
Suppose -i = -4*g + 19, 0 = 5*i - 3 - 2. Suppose -g*d + 1 = -2*h - 6, -d = 4*h - 19. Factor -k**d + 3*k**3 - 3*k**3 - 4*k**2 - k**3.
-2*k**2*(k + 2)
Let r be (5 - 11/2)/((-4)/16). Find s, given that 12/5*s + 9/5 + 3/5*s**r = 0.
-3, -1
Let v(l) be the first derivative of l**6/100 + l**5/150 - l**4/30 + l**2/2 - 1. Let r(i) be the second derivative of v(i). Let r(n) = 0. Calculate n.
-1, 0, 2/3
Let j(w) be the first derivative of -w**5/20 + w**4/8 + w**3/12 - w**2/4 - 12. Find c, given that j(c) = 0.
-1, 0, 1, 2
Find r, given that 8/3*r**2 + 4/3*r**4 + 0 + 4*r**3 + 0*r = 0.
-2, -1, 0
Let s(o) = -o**2 - 3*o + 3. Let w(b) = -b**2 - 4*b + 4. Let p(x) = -4*s(x) + 3*w(x). Solve p(i) = 0.
0
Let k(q) be the third derivative of q**7/420 - q**5/20 + q**4/6 + q**3/2 - 3*q**2. Let p(c) be the first derivative of k(c). Factor p(o).
2*(o - 1)**2*(o + 2)
Suppose 2*a = 3*a - q + 1, 3*a + 2*q = 17. Let c(j) be the first derivative of -2 + 2/5*j**4 - 1/5*j**2 - 2/5*j**a + 0*j. Factor c(l).
2*l*(l - 1)*(4*l + 1)/5
Suppose 0 = v - 2, -2*v + 6 = y. Find f such that 2*f**4 + 6*f**2 - 5*f**y + 0*f**4 - 3*f**4 = 0.
-1, 0, 1
Let a(z) be the third derivative of z**8/1008 - z**6/360 + 8*z**2. Factor a(m).
m**3*(m - 1)*(m + 1)/3
Suppose 8 = 2*x - 2*p, -2*x + 4*p + 18 = 3*x. Let o = 3 - -1. Suppose 14*v - 20*v**2 - 5*v**4 + 20*v**3 - o*v - 5*v**4 - x + 2*v**5 + 0*v**5 = 0. What is v?
1
Let d(p) be the second derivative of -5*p**4/12 - 35*p**3/3 - 245*p**2/2 - 5*p. Suppose d(g) = 0. Calculate g.
-7
Let t(j) be the third derivative of j**5/12 - 5*j**4/24 - 5*j**3/3 + 15*j**2. Factor t(s).
5*(s - 2)*(s + 1)
Let t(x) be the third derivative of 0*x**4 + 1/315*x**7 + 0 - 1/90*x**6 + 1/90*x**5 + 0*x**3 + 0*x - x**2. Determine p so that t(p) = 0.
0, 1
Let t(o) be the second derivative of -o + 0*o**4 + 0*o**3 - 2/21*o**7 + 4/15*o**6 - 1/5*o**5 + 0*o**2 + 0. Factor t(f).
-4*f**3*(f - 1)**2
Factor 6/11*x**4 - 6/11*x + 2/11*x**5 - 2/11 - 4/11*x**2 + 4/11*x**3.
2*(x - 1)*(x + 1)**4/11
Factor 4*q**2 + 4*q**3 + 11*q + 16*q - 31*q - 4.
4*(q - 1)*(q + 1)**2
Let s(w) = -w**2 + 30*w - 40. Let r(n) = -10*n**2 + 330*n - 440. Let g(l) = 4*r(l) - 45*s(l). Factor g(i).
5*(i - 4)*(i - 2)
Let v(d) be the second derivative of 0 + 1/10*d**3 - 1/100*d**5 - 10*d + 0*d**4 - 1/5*d**2. Determine x, given that v(x) = 0.
-2, 1
Let c(v) = v - 5. Let z be c(11). Let p = z + -4. Solve 5*a**2 + 2*a**3 + a - 3*a**p - a**3 = 0 for a.
-1, 0
Determine u, given that -4/3*u**3 - 8/9*u + 0 - 28/9*u**2 = 0.
-2, -1/3, 0
Let q(v) be the first derivative of -2*v**3/9 + 4*v**2/3 + 10*v/3 + 38. Factor q(d).
-2*(d - 5)*(d + 1)/3
Let i be -5*2/3*8. Let f = i + 27. Suppose -f*v**2 + 1/3 - 1/3*v + 1/3*v**3 = 0. Calculate v.
-1, 1
Let b = -3 + 5. Suppose -r + 2*r = b. Let 2*x + r*x - x**2 - 5*x = 0. What is x?
-1, 0
Let o(x) be the second derivative of 1/15*x**4 + 0*x**3 + 0*x**2 + 3*x + 0. Factor o(n).
4*n**2/5
Let u(r) = r**3 - 5*r**2 + r - 5. Let a be u(5). Let p(m) be the first derivative of -1 + 1/8*m**4 + 0*m**3 + 0*m + a*m**2. Solve p(d) = 0.
0
Let y(m) be the third derivative of -7*m**8/144 + m**6/90 - 4*m**2. Find p such that y(p) = 0.
-2/7, 0, 2/7
Let a(f) be the second derivative of 5*f + 1/42*f**4 + 1/7*f**2 + 0 + 2/21*f**3. Factor a(l).
2*(l + 1)**2/7
Let g(w) = 6*w**2 + 17*w. Let y be g(-3). Factor 8*z**y + 2/3*z**4 + 36*z**2 + 72*z + 54.
2*(z + 3)**4/3
Find u, given that -12/5 + 4/5*u**2 - 8/5*u = 0.
-1, 3
Let o be (6 + 0)/((4 + 3)*2). Factor -3/7*n**2 - 6/7*n - o.
-3*(n + 1)**2/7
Factor -2/3 - 2/3*m**3 + 2/3*m**2 + 2/3*m.
-2*(m - 1)**2*(m + 1)/3
Let t(q) = -q**3 + 9*q**2 + q - 4. Let p be (3/(-2))/((-2)/12). Let b be t(p). Factor -b*l**2 + 3*l - 3*l + 3*l**2 + 2*l.
-2*l*(l - 1)
Suppose -2/11*d**2 + 4/11*d**3 - 4/11*d + 0 + 2/11*d**4 = 0. What is d?
-2, -1, 0, 1
Find q such that q - 1/2*q**2 + 0 = 0.
0, 2
Factor -4*j**4 - j**2 + 9*j**2 + 4*j**3 + 0*j**3.
-4*j**2*(j - 2)*(j + 1)
Factor 3/2*i + 1/4*i**2 + 9/4.
(i + 3)**2/4
Let m(a) be the second derivative of -a**4/6 - 2*a**3/3 - a**2 + 13*a. Let m(v) = 0. Calculate v.
-1
Factor 36*y**3 + 28*y**2 + 4*y**5 + 9*y + 96*y**4 - 76*y**4 - y.
4*y*(y + 1)**3*(y + 2)
Solve 0*w**2 + 3/8*w**3 + 3/8*w**5 + 3/4*w**4 + 0 + 0*w = 0 for w.
-1, 0
Let k = 7/23 + 181/161. Factor 6/7*m**2 - 2/7*m**4 + k*m + 4/7 - 2/7*m**3.
-2*(m - 2)*(m + 1)**3/7
Let u = -83 + 86. What is s in -2/9*s + 0 - 2/9*s**2 + 2/9*s**u + 2/9*s**4 = 0?
-1, 0, 1
Let t(o) be the first derivative of o**5/20 + 1. Factor t(k).
k**4/4
Let b(c) be the first derivative of -3*c**4/4 + 2*c**3 + 6*c**2 - 24*c + 16. Find h, given that b(h) = 0.
-2, 2
Factor 8/3*t**3 - 8/3*t + 4/3*t**2 - 4/3*t**4 + 0.
-4*t*(t - 2)*(t - 1)*(t + 1)/3
Let y(o) be the second derivative of -o**4/12 + 2*o**3/3 - 2*o**2 - 6*o. Factor y(j).
-(j - 2)**2
Factor -97*c - 7*c**2 + 117*c + c**2 - 2*c**3.
-2*c*(c - 2)*(c + 5)
Let t(k) be the third derivative of k**7/840 + k**6/120 + k**5/48 + k**4/48 + 9*k**2. Factor t(y).
y*(y + 1)**2*(y + 2)/4
Let c(l) be the third derivative of l**9/20160 + l**8/4800 + l**7/4200 + l**5/30 + l**2. Let s(r) be the third derivative of c(r). Factor s(v).
3*v*(v + 1)*(5*v + 2)/5
Let f(x) = x - 2. Let r be f(4). Factor -3*t**3 + t**3 + 6*t**2 - 4*t**r.
-2*t**2*(t - 1)
Solve y + y - 12*y**3 + 27*y**3 - 11*y**2 = 0 for y.
0, 1/3, 2/5
Let t(r) = 2*r - 12. Let q be t(6). Let b(l) be the third derivative of 1/150*l**5 + q + 2*l**2 + 0*l + 1/20*l**4 + 2/15*l**3. Factor b(i).
2*(i + 1)*(i + 2)/5
Let b(w) = -5*w + 1. Let y(k) = -k + 1. Let i(h) = b(h) - 4*y(h). Let t be i(-5). Find u such that -7*u**2 + t*u**4 - 18*u**3 + 3*u**2 - 9*u**4 - 7*u**4 = 0.
-1, -2/7, 0
Let g be (-12)/(-15) - 2/(-10). Suppose -g = -p + 1. Solve -2/7*m**p + 0*m + 0 + 2/7*m**4 + 0*m**3 = 0.
-1, 0, 1
Let l(o) be the first derivative of -8*o**3/15 - 4*o**2/5 - 2*o/5 - 10. Factor l(u).
-2*(2*u + 1)**2/5
Let h(n) = -n**4 - 15*n**3 - 11*n**2 - n + 4. Let w(i) = -15*i**3 - 10*i**2 + 5. Let m(b) = 5*h(b) - 4*w(b). Find v, given that m(v) = 0.
-1, 0
Suppose -3*q + 3 = -12. Suppose q*d - 10 = -4*k, k - 6*k + 3*d + 31 = 0. Suppose 4*b**3 - 3 - 3*b + 6*b**4 - 3*b + 1 - 4*b**2 + 2*b**k = 0. What is b?
-1, 1
Let p be 10/6 - (-1)/3. Let v(y) be the first derivative of -2/15*y**3 + 0*y**p + 2 + 2/5*y. Find q, given that v(q) = 0.
-1, 1
Let q = 7521/40 - 188. Let h(v) be the second derivative of 1/6*v**4 + 1/168*v**7 - 1/60*v**6 + 1/4*v**2 - 7/24*v**3 - q*v**5 + 0 - 4*v. Factor h(u).
(u - 1)**4*(u + 2)/4
Suppose -1 = 2*m + 2*b + b, 4*b + 20 = 2*m. Factor -6*h**4 - 5*h**4 - 3*h**2 - h + 12*h**m - h.
h*(h - 2)*(h + 1)**2
Let m be (-102)/(-170) + 0/1. Factor -m*u**3 + 1/5*u**2 + 0 + 0*u - 1/5*u**5 + 3/5*u**4.
-u**2*(u - 1)**3/5
Determine q so that 0 - 4/11*q**2 + 2/11*q**5 - 2/11*q + 4/11*q**4 + 0*q**3 = 0.
-1, 0, 1
Let s(a) be the second derivative of 0*a**3 + 0*a**2 + 1/30*a**5 - 5*a + 0 + 1/18*a**4. Solve s(u) = 0 for u.
-1, 0
Let m be (2 + (-9)/6)/1. Factor -1/2*w**3 - 1/2*w**2 + m*w + 1/2.
-(w - 1)*(w + 1)**2/2
Factor 7/6*f + 1/3 + 5/6*f**3 + 1/6*f**4 + 3/2*f**2.
(f + 1)**3*(f + 2)/6
Let b(a) = -8*a**5 - 4*a**4 + 6*a. Let l(v) = v**5 + v**3 - v. Let t(f) = 2*b(f) + 12*l(f). Determine z so that t(z) = 0.
-3, 0, 1
Let n(q) be the third derivative of q**6/780 - 3*q**5/130 + 5*q**4/52 + 25*q**3/39 + 3*q**2. Factor n(t).
2*(t - 5)**2*(t + 1)/13
What is r in 0 + 1/2*r**4 - 25/2*r + 15/2*r**2 + 9/2*r**3 = 0?
-5, 0, 1
Let u = -7 + 7. Let z(x) = 4*x**3 - x**2 - x + 1. Let i be z(1). Factor u*c**3 - 4*c**i + 2*c**3 - 2*c**4.
-2*c**3*(c + 1)
Factor h**3 + 1 + 41*h**2 - 19*h**2 - 19*h**2 + 3*h.
(h + 1)**3
Let n(d) = d**3 + 9*d**2 - d + 10. Let s be n(-9). Let u be (s/(-2))/((-70)/40). Factor -4/7 + 2*o**4 + u*o**3 + 2/7*o + 30/7*o**2.
2*(o + 1)**3*(7*o - 2)/7
Let o(g) be the first derivative of -2*g**3 + 7*g**2 + 12*g + 33. Solve o(x) = 0 for x.
-2/3, 3
Let y(l) = -2*l**2 + 18*l + 4. Let t be y(9). Let -8/5*k**3 - 8/5*k**2 - 2/5*k**t + 0 + 0*k = 0. Calculate k.
-2, 0
Let i(b) = -3*b**3 - 1. Let p be i(-1). Solve