94*c**5/15 + 8*c**4 - 6*c**3 + 4*c**2. Suppose b(t) = 0. What is t?
3/5, 1
Determine a so that -2*a**3 + a**4 + a - 6*a**5 - 2*a**5 - 2*a**2 + 3*a**5 + 6*a**5 + 1 = 0.
-1, 1
Let r(p) = -p**3 - 6*p**2 - 4*p + 7. Let o be r(-5). Let j(w) = -1 - w**o + 2*w**2 + 2. Let z(s) = 6*s**2 - 8*s + 12. Let i(f) = 4*j(f) - z(f). Factor i(g).
-2*(g - 2)**2
Let -16/13*l + 4/13*l**3 + 6/13*l**2 - 2/13*l**4 + 8/13 = 0. What is l?
-2, 1, 2
What is d in 5*d - 30 + 20/3*d**2 - 5/3*d**3 = 0?
-2, 3
Let q(y) be the first derivative of -5*y**4/4 + 20*y**3/3 - 5*y**2/2 - 30*y - 22. Factor q(w).
-5*(w - 3)*(w - 2)*(w + 1)
Let o(v) be the second derivative of v**6/60 + v**5/18 + v**4/18 - 2*v**2 - 4*v. Let y(s) be the first derivative of o(s). Factor y(x).
2*x*(x + 1)*(3*x + 2)/3
Let y be (-2884)/(-720) + -1 - 3. Let u(i) be the third derivative of -y*i**6 + 0*i**3 + 0*i - 2*i**2 + 0*i**5 + 0 + 1/36*i**4. Solve u(a) = 0.
-1, 0, 1
Let s(k) be the first derivative of -147*k**5/5 - 63*k**4/2 + 47*k**3 + 36*k**2 - 48*k - 39. Factor s(u).
-3*(u + 1)**2*(7*u - 4)**2
Let c(s) = s**3 - 4*s**2 + 5*s - 3. Let t be c(3). Let l(n) = -n**3 - 4*n**2 + 4*n - 1. Let y be l(-5). Factor 3*o**5 - t*o**y - 7*o**5 + o**3 + 6*o**4.
-o**3*(o - 1)*(4*o + 1)
Let c(n) be the third derivative of 0*n**3 + 1/600*n**6 + 0*n - 6*n**2 + 0*n**5 + 0 + 0*n**4. Factor c(g).
g**3/5
Let u(s) = -s**3 - 4*s**2 + 5*s + 4. Let b be u(-5). Suppose 5*h**3 - 5*h - 8*h**b + 7*h**3 + h = 0. Calculate h.
-1/2, 0, 1
Solve -1/2*g**3 - g + 1/4 + 5/4*g**2 = 0 for g.
1/2, 1
Let z(j) be the second derivative of j**6/150 + j**5/100 - j**4/60 - j**3/30 - 13*j. Factor z(y).
y*(y - 1)*(y + 1)**2/5
Let b = 263 - 259. Factor 0*s + 0*s**3 + 2/11*s**2 - 2/11*s**b + 0.
-2*s**2*(s - 1)*(s + 1)/11
Let w be 0*(-1)/6*-6. Suppose -2/9*c**2 + w - 2/9*c = 0. What is c?
-1, 0
Let c = -21 + 23. Suppose 4*u - 3*l = 0, 0 = -2*u - c*u - 3*l. Solve u*t - 1/3 + 1/3*t**2 = 0 for t.
-1, 1
Let r(h) be the second derivative of h**4/102 - 2*h**3/51 + 49*h. Factor r(b).
2*b*(b - 2)/17
Let b(u) be the second derivative of 8*u**6/15 + 9*u**5/5 + 2*u**4 + 2*u**3/3 + 43*u. Factor b(o).
4*o*(o + 1)**2*(4*o + 1)
Let a be (24/14)/((-4)/(-28)). Find d such that -11 - 9*d**2 + a*d + 1 + 0 + 6 = 0.
2/3
Suppose 12 = -25*v + 28*v. Find j, given that -7/3*j**3 + 7/3*j**5 - 2/3*j**2 + 0*j + 2/3*j**v + 0 = 0.
-1, -2/7, 0, 1
Suppose -5*y - 12 + 41 = -3*h, 18 = 3*y - 2*h. Factor -3*q**3 + 5*q + y*q - 3 + 3*q**2 - 6*q.
-3*(q - 1)**2*(q + 1)
Let i = 1431 + -1431. Factor 2/5*h**3 + i + 0*h**4 + 0*h - 2/5*h**5 + 0*h**2.
-2*h**3*(h - 1)*(h + 1)/5
Let o = 3788/45 - 70/9. Let q = o - 76. Factor 0*k - q*k**3 + 0*k**2 + 0.
-2*k**3/5
Suppose -3*u + 4*q = -20, 5 = -0*u + 5*u - q. Let y(s) be the third derivative of 3*s**2 + 0*s + 1/9*s**3 + 0*s**5 + 1/24*s**4 - 1/360*s**6 + u. Factor y(c).
-(c - 2)*(c + 1)**2/3
Find o, given that -3*o + 4*o**2 + 10*o - 4*o**2 - 2 - 5*o**2 = 0.
2/5, 1
Suppose 4*i = -l + 10, -6*l = -l - i - 8. Let b(p) = p - 2. Let q be b(l). Suppose 0 - 1/5*v**3 + 1/5*v**4 + q*v**2 + 0*v = 0. Calculate v.
0, 1
Let b = -20 + 34. Let z = b - 9. Let -4*t**4 + t**5 - 3*t**z - t**3 - t**3 = 0. Calculate t.
-1, 0
Let z(h) = h**3 - 34*h**2 + 4*h - 61. Let t be z(34). Determine l so that 0 - 30*l**3 - 4*l**2 - t*l**4 - 125/2*l**5 + 0*l = 0.
-2/5, 0
Let p be 5 + 0*(-3 - -2). Suppose 0 + 0*f**3 + 3*f + f**3 - 4 + p*f**2 - 5 = 0. Calculate f.
-3, 1
Let h(u) = u**3 + 2*u**2 - 3*u + 3. Let x be h(-3). Suppose o + 5*s - 2 = -0*o, x*o + 2*s = 6. Factor -1/3*l**o - 1/3 + 2/3*l.
-(l - 1)**2/3
Let r(z) = -18*z**5 - 12*z**4 - 6*z**3 + 9*z**2 + 24*z + 12. Let j(p) = -p**5 + p**4 - p**2 + p + 1. Let v(g) = 9*j(g) - r(g). Factor v(c).
3*(c - 1)*(c + 1)**3*(3*c + 1)
Let z be 0/(2 - 8 - -5). Factor -4/7*q**2 + z*q + 0 - 6/7*q**4 - 10/7*q**3.
-2*q**2*(q + 1)*(3*q + 2)/7
Let w = -19 + 31. Let c be 3/w + 7/4. Factor 2 + 2*l - l - c + l**2.
l*(l + 1)
Let r(j) = -10*j**4 - 145*j**3 - 225*j**2 - 125*j - 35. Let p(x) = x**4 + 16*x**3 + 25*x**2 + 14*x + 4. Let a(f) = -35*p(f) - 4*r(f). Find b such that a(b) = 0.
-2, -1, 0
Let f(g) = -g - 5. Let r be f(-7). What is h in -h**2 - 11*h + 2 + 8*h + r*h**2 = 0?
1, 2
Let y(z) be the third derivative of -z**7/140 - z**6/40 - z**5/40 + z**2. Factor y(f).
-3*f**2*(f + 1)**2/2
Let k be ((-2)/4*8/(-36))/1. Let g(l) be the second derivative of -1/12*l**4 + 1/60*l**5 + 0*l**2 + 0 + 2*l + k*l**3. Determine v so that g(v) = 0.
0, 1, 2
Let m(y) be the third derivative of y**7/1155 + y**6/330 - 2*y**5/55 + 7*y**4/66 - 5*y**3/33 - 28*y**2. Factor m(p).
2*(p - 1)**3*(p + 5)/11
Let o = 112/145 + -5/29. Let f(b) be the first derivative of -4/5*b**3 - 1 - o*b**6 + 1/5*b**2 + 4/5*b**4 + 12/25*b**5 + 0*b. Suppose f(p) = 0. What is p?
-1, 0, 1/3, 1
Suppose -3*g = -6 - 0. Let t = 4 + g. Let -16 + t*h - 3*h**2 + 16 = 0. What is h?
0, 2
Let x(g) be the third derivative of -g**10/120960 - g**9/30240 + g**7/5040 + g**6/2880 + g**4/8 - g**2. Let r(k) be the second derivative of x(k). Factor r(m).
-m*(m - 1)*(m + 1)**3/4
Let h(t) be the first derivative of -t**7/420 + t**6/90 - t**5/60 - t**3 + 1. Let o(z) be the third derivative of h(z). What is a in o(a) = 0?
0, 1
Let u be ((-16)/(-12))/((-2)/3). Let v be u/3*-1*12. Factor 4 - 8*t**2 - 4 - 12*t**3 - v*t**4 - 2*t - 2*t**5.
-2*t*(t + 1)**4
Let k(s) be the first derivative of s**6/15 - s**4/6 - s + 3. Let u(w) be the first derivative of k(w). Factor u(r).
2*r**2*(r - 1)*(r + 1)
Let y be ((-5)/((-200)/(-6)))/(81/(-2)). Let m(v) be the third derivative of -2*v**2 + 1/36*v**4 + 0 + 0*v + 2/27*v**3 + y*v**5. Find w, given that m(w) = 0.
-2, -1
Let h(o) = 5*o**2 - 2*o + 3. Let l(t) = 3*t**2 + 2*t - 3. Let w(n) = -2*n**2 - 2*n + 3. Let z(g) = -6*l(g) - 7*w(g). Let p(b) = 5*h(b) + 6*z(b). Factor p(i).
(i - 1)*(i + 3)
Let w(n) be the first derivative of 242*n**3/3 + 22*n**2 + 2*n + 15. Determine k, given that w(k) = 0.
-1/11
Let y(w) be the second derivative of w**4/3 + 14*w**3/3 + 12*w**2 - 36*w. Factor y(n).
4*(n + 1)*(n + 6)
Let -60/7*y**2 + 0 + 12/7*y + 9*y**3 = 0. What is y?
0, 2/7, 2/3
Factor 8/5*t**2 - 2/5*t**5 + 2*t**4 + 0 + 0*t - 16/5*t**3.
-2*t**2*(t - 2)**2*(t - 1)/5
Let z be (-12)/24 + (-10)/(-4). Let r(f) be the second derivative of 0 - 3*f + 1/12*f**3 - 1/48*f**4 + 0*f**z. Find y such that r(y) = 0.
0, 2
Suppose -8*z - 18 = -14*z. Let c(w) be the third derivative of 0*w**5 + 0*w**6 + 0*w**z + 0*w + 0*w**7 + 0*w**4 + 1/168*w**8 + 0 - 4*w**2. Factor c(t).
2*t**5
Factor -4/7*c**2 + 0*c + 0 + 0*c**3 + 4/7*c**4.
4*c**2*(c - 1)*(c + 1)/7
Let q be 2/(4/(-14) + 558/189). Factor -q*n**2 - 3/4*n - 1/4 - 1/4*n**3.
-(n + 1)**3/4
Determine g so that -1/3*g**4 + 1/6*g + 1/6*g**5 + 2/3*g**2 - 1/3 - 1/3*g**3 = 0.
-1, 1, 2
Let s(x) be the third derivative of x**6/10 + 3*x**5/20 - x**4/8 - x**2. Solve s(j) = 0.
-1, 0, 1/4
Let k(l) be the third derivative of l**5/60 - 7*l**4/24 + l**3/3 - 3*l**2. Let z be k(7). Let 3*x - 2*x + 3*x + 2*x**3 + 1 + 5*x**z = 0. What is x?
-1, -1/2
Let z(q) be the first derivative of q**5/60 - q**4/12 + q**2/2 - 3. Let t(c) be the second derivative of z(c). Solve t(w) = 0.
0, 2
Let y(z) = -5*z - 37. Let f be y(-8). Let r(d) = d + 3. Let h be r(-3). Factor 0*x + 2*x**4 + h + 0*x**f - 8/3*x**2 - 2/3*x**5.
-2*x**2*(x - 2)**2*(x + 1)/3
Let j(o) be the first derivative of 0*o - 1/10*o**5 + 0*o**4 + 4 + 0*o**3 + 0*o**2 - 1/12*o**6. Factor j(c).
-c**4*(c + 1)/2
Find l, given that -16/5*l + 2/5*l**4 + 2*l**3 - 2/5*l**2 - 8/5 - 2/5*l**5 = 0.
-1, 2
Let c(i) be the third derivative of i**3 - 2*i**2 + 3/20*i**5 + 0 + 0*i - 5/8*i**4. Let c(z) = 0. Calculate z.
2/3, 1
Let d(c) be the third derivative of 0*c**3 - 1/4*c**5 + 0*c + 7/40*c**6 + 0 - 1/4*c**4 - 9*c**2. Let d(k) = 0. What is k?
-2/7, 0, 1
Let n(l) be the first derivative of 3*l**4/20 + 2*l**3/5 - 3*l**2/10 - 6*l/5 - 7. Factor n(i).
3*(i - 1)*(i + 1)*(i + 2)/5
Let q be 2/(3 + -1 - 1). Solve -2*x**5 + x**5 - x**3 - q*x**4 + 4*x - 4*x = 0.
-1, 0
Let d(f) be the third derivative of -f**9/60480 + f**8/26880 - f**4/8 - 2*f**2. Let m(c) be the second derivative of d(c). Suppose m(w) = 0. Calculate w.
0, 1
Suppose 25/8 + 1/8*d**2 + 5/4*d = 0. What is d?
-5
Let d(h) be the second derivative of 5*h**4/6 + h**3 - 2*h**2 + 11*h. Factor d(f).
2*(f + 1)*(5*f - 2)
Let b(u) = 