hat t(y) = 0.
0, 1, 2
Let n = -2/509 + 515/1527. What is x in 1/6*x - n + 1/6*x**2 = 0?
-2, 1
Factor -48*w + 24*w - 15*w**2 - 12 + w**3 - 4*w**3.
-3*(w + 1)*(w + 2)**2
Let y = -74/3 + 25. Let s(f) be the first derivative of 5/9*f**3 - 1/6*f**2 - 2 - 1/4*f**4 + 0*f + 2/9*f**6 - y*f**5. Find d, given that s(d) = 0.
-1, 0, 1/4, 1
Let h(w) be the first derivative of w**9/16632 + w**8/4620 + w**7/4620 - w**3/3 + 2. Let u(q) be the third derivative of h(q). Factor u(d).
2*d**3*(d + 1)**2/11
Solve 0 + 4/3*m + 2*m**4 + 1/3*m**5 + 13/3*m**3 + 4*m**2 = 0 for m.
-2, -1, 0
Let w(r) be the third derivative of -1/490*r**7 + 0 + 0*r**3 + 0*r - 1/280*r**6 + 1/140*r**5 - 3*r**2 + 1/56*r**4. Solve w(s) = 0 for s.
-1, 0, 1
Determine g, given that g**2 + 3/4*g + 0 + 1/4*g**3 = 0.
-3, -1, 0
Factor 20/3*a - 2/3*a**2 - 50/3.
-2*(a - 5)**2/3
Let c(j) = -j**3 - 16*j**2 - 37*j + 29. Let x be c(-13). Let 0 + 15/2*w**2 + 6*w**3 + 3/2*w**4 + x*w = 0. What is w?
-2, -1, 0
Let t(h) = -3*h**3 - 5*h**2 - 7*h - 5. Let j(a) = 4*a**3 + 6*a**2 + 8*a + 6. Let l(x) = -5*j(x) - 6*t(x). Find f such that l(f) = 0.
-1, 0, 1
Suppose -d - 2 = -2*d. Suppose 4*b - 18 = -5*u, -2*b + 4*u + d = 6. Solve -2*j**2 + b*j**4 + 2*j**3 + j - 4*j + j = 0.
-1, 0, 1
Let c(q) = q**2 + 3*q. Let r(p) = -2*p**2 - 3*p - 1. Suppose -2 - 2 = -2*k. Let u(y) = k*r(y) + 3*c(y). Suppose u(g) = 0. What is g?
1, 2
Suppose b + 38 = -b. Let u = -5 - b. Factor 4*n - 28*n + 18*n**2 + u - 6.
2*(3*n - 2)**2
Solve -25 - 21/4*t**2 + 30*t + 1/4*t**3 = 0 for t.
1, 10
Let q be -3 - (-2)/2*7. Let x(h) be the second derivative of -h + 0*h**2 + 0 + 1/60*h**5 - 1/36*h**q + 0*h**3. Factor x(v).
v**2*(v - 1)/3
Let d(n) be the first derivative of 0*n**2 + n**3 - 3 - 3/2*n**4 + 0*n + 3/5*n**5. Let d(f) = 0. What is f?
0, 1
Let q = 163/420 - 9/28. Let i(c) be the first derivative of 2/3*c**2 + 1/3*c**4 - 1/3*c - 2/3*c**3 - q*c**5 + 2. Factor i(j).
-(j - 1)**4/3
Let 1/2*x**3 - 5/2*x - 1/2*x**2 - 3/2 = 0. What is x?
-1, 3
Let a(x) be the third derivative of x**2 + 1/140*x**5 - 1/6*x**3 + 1/42*x**4 + 1/1260*x**6 + 0 + 0*x. Let w(c) be the first derivative of a(c). Factor w(z).
2*(z + 1)*(z + 2)/7
Suppose 5*v = 3*v. Suppose v = -k - 0*h - h + 3, -5*h = -5. Determine o so that 1/3*o**k + 4/3*o + 4/3 = 0.
-2
Let d be ((-36)/(-14))/((-6)/(-28)). Suppose -4*f = -0*f - d. Find r, given that 0*r**2 - r + 1/3*r**f - 2/3 = 0.
-1, 2
What is x in -9*x**2 + 107*x - 107*x + 3*x**3 = 0?
0, 3
Let s(h) be the third derivative of h**10/15120 - h**9/7560 - h**8/3360 + h**7/1260 + h**4/8 - 2*h**2. Let r(c) be the second derivative of s(c). Factor r(p).
2*p**2*(p - 1)**2*(p + 1)
Factor 60*u + 5*u**3 + 36*u + 24*u + 55*u**2 - 95 - 85.
5*(u - 1)*(u + 6)**2
Let w be ((-21)/2)/(-3) + (-6)/(-12). Let u(d) be the second derivative of d - 3/8*d**2 - 3/8*d**3 - 1/8*d**w + 0. Let u(j) = 0. Calculate j.
-1, -1/2
Let s(j) = -7*j**4 + 40*j**3 - 110*j**2 + 120*j - 43. Let z(u) = -190*u**4 + 1080*u**3 - 2970*u**2 + 3240*u - 1160. Let r(a) = -55*s(a) + 2*z(a). Factor r(y).
5*(y - 3)**2*(y - 1)**2
Let s(r) be the third derivative of r**6/180 - r**4/12 + r**3 - 6*r**2. Let b(x) be the first derivative of s(x). Factor b(g).
2*(g - 1)*(g + 1)
Let o(r) be the first derivative of r**5/20 + 3*r**4/4 + 35*r**3/12 - 3*r**2/2 - 9*r - 50. Factor o(l).
(l - 1)*(l + 1)*(l + 6)**2/4
Suppose -17*b + 8 = -13*b. Factor 0*c**b + 0 + 1/4*c**4 + 0*c - 1/4*c**3.
c**3*(c - 1)/4
Let v(t) be the third derivative of -t**9/30240 - t**8/5040 - t**5/60 - t**2. Let w(r) be the third derivative of v(r). Find n, given that w(n) = 0.
-2, 0
Let c be 5/(15/(-2)) - 112/(-105). Factor 1/5 + c*q + 1/5*q**2.
(q + 1)**2/5
Let u be 12/60 - 23/140. Let h(n) be the third derivative of 0 - n**2 + 1/420*n**6 + u*n**4 + 1/21*n**3 + 0*n + 1/70*n**5. Factor h(d).
2*(d + 1)**3/7
Let h(p) be the third derivative of 0*p**5 + 0 + 1/560*p**8 + 4*p**2 + 1/175*p**7 + 0*p**4 + 1/200*p**6 + 0*p + 0*p**3. Factor h(y).
3*y**3*(y + 1)**2/5
Let b(f) be the second derivative of f**4/84 + f**3/21 - 13*f. Factor b(i).
i*(i + 2)/7
Determine q, given that 48*q**3 + 16*q + 20*q**4 - 18*q + 36*q**2 + 10*q = 0.
-1, -2/5, 0
Let d(c) be the first derivative of -1/5*c - 4 - 1/10*c**2 + 1/15*c**3 + 1/20*c**4. Factor d(q).
(q - 1)*(q + 1)**2/5
Let h(d) = d**2 - 2. Let o(u) = -2*u**2 + u + 5. Let w = -6 + -4. Let z(m) = w*h(m) - 4*o(m). Suppose z(p) = 0. Calculate p.
-2, 0
Let j = -1/1195 - -2393/3585. Find t, given that j*t**3 - 8/3*t**2 - 4/3 + 10/3*t = 0.
1, 2
Find t, given that -3/7*t**3 + 3/7*t**4 - 3/7*t**2 + 3/7*t + 0 = 0.
-1, 0, 1
Let z(h) be the first derivative of h**9/4536 - h**7/1260 - h**3 - 2. Let f(v) be the third derivative of z(v). Suppose f(x) = 0. What is x?
-1, 0, 1
Let c(w) be the first derivative of -w**3/6 - w**2/2 + 2. Factor c(y).
-y*(y + 2)/2
Let m(g) be the second derivative of -g**6/900 - g**5/300 + g**3/3 - 2*g. Let o(l) be the second derivative of m(l). Factor o(a).
-2*a*(a + 1)/5
Let u be 4/22 - (-96)/198. Solve -4/3*m**2 - 2/3*m + 0 + 4/3*m**4 + 0*m**3 + u*m**5 = 0 for m.
-1, 0, 1
Let k = 3256/15 + -217. Let p(i) be the second derivative of i + 0*i**2 - 1/30*i**4 - k*i**3 + 0. Factor p(l).
-2*l*(l + 1)/5
Let a(v) = v**2 - v. Let k(y) = 4*y**5 - 4*y**4 - 24*y**3 - 10*y**2 + 22*y + 12. Let x(h) = -2*a(h) - k(h). What is j in x(j) = 0?
-1, 1, 3
Let m(g) be the first derivative of 0*g + 1 + 0*g**4 - 2/11*g**3 - 1/11*g**2 + 8/55*g**5. Factor m(p).
2*p*(p - 1)*(2*p + 1)**2/11
Factor -8*m**3 + 17*m**4 + 35*m**4 - 12*m**4 - 50*m**5.
-2*m**3*(5*m - 2)**2
Let -v**2 - 25 - 40 + 18*v - 16 = 0. What is v?
9
Let w(f) = 4*f + 11. Let m be w(-2). Factor 1/3*g**m + 0*g + 0 - 2/3*g**2.
g**2*(g - 2)/3
Let t be 3 - (-3)/(-2 + 3). Suppose 4*f - 37 = 5*u, u - t = 4*f - 23. Factor -w - 2*w**2 + 0*w**2 + f*w.
-2*w*(w - 1)
Let s(q) be the first derivative of -q**5/30 - q**4/9 + q**3/9 + 2*q**2/3 + 6*q + 6. Let f(b) be the first derivative of s(b). Factor f(a).
-2*(a - 1)*(a + 1)*(a + 2)/3
Let w = 6 - -2. Let v = w + -8. Factor 0*a**3 + 2/5*a**4 + v*a + 2/5 - 4/5*a**2.
2*(a - 1)**2*(a + 1)**2/5
Let d(i) be the first derivative of -2*i**3/27 - 2*i**2/9 - 2*i/9 - 4. Suppose d(h) = 0. Calculate h.
-1
Let t(h) be the second derivative of -h**4/102 + h**3/51 - 3*h. What is g in t(g) = 0?
0, 1
Let k = 208 - 1028/5. Find u such that 3*u**4 - 6/5*u**3 + 12/5 - k*u - 9*u**2 = 0.
-1, 2/5, 2
Let q = 5 - 1. Let i(p) be the second derivative of -1/18*p**q + 1/6*p**2 + 0*p**3 + 0 + 0*p**5 + 1/90*p**6 + 2*p. Find r, given that i(r) = 0.
-1, 1
Let o(r) be the second derivative of -r**4/6 + 14*r**3/3 - 49*r**2 + r. Determine u, given that o(u) = 0.
7
Let j(a) = -a**3 + 6*a**3 + 0*a**3 + 0*a**3 + 7 - 2*a**2 - 5*a**4 - 5*a. Let b(y) = 2*y**4 - 2*y**3 + y**2 + 2*y - 3. Let k(o) = 7*b(o) + 3*j(o). Factor k(q).
-q*(q - 1)**2*(q + 1)
Let z(l) be the first derivative of -l**6/3 - 4*l**5/5 + l**4 + 16*l**3/3 + 7*l**2 + 4*l - 1. Factor z(g).
-2*(g - 2)*(g + 1)**4
Let w = 6017/15 - 401. Let h(t) be the first derivative of -3 - 2/5*t + w*t**3 - 1/5*t**2 + 1/10*t**4. Determine i, given that h(i) = 0.
-1, 1
Suppose -2/5*a**2 + 4/5 - 2/5*a = 0. Calculate a.
-2, 1
Let f(r) be the first derivative of -4*r**3 + 4*r**2 + 16. Factor f(t).
-4*t*(3*t - 2)
Let u be -3 - 2/(342/(-75) - -4). What is o in u*o + 2/7*o**2 + 0 = 0?
-2, 0
Let m(x) be the first derivative of x**6/3 - x**4/2 - 5. Factor m(l).
2*l**3*(l - 1)*(l + 1)
Let j(a) be the second derivative of -1/3*a**4 + 0 + 3*a + 7/6*a**3 + a**2. Factor j(s).
-(s - 2)*(4*s + 1)
Let g(r) be the first derivative of 4*r**5/25 + 3*r**4/5 + 4*r**3/15 - 6*r**2/5 - 8*r/5 + 5. Factor g(t).
4*(t - 1)*(t + 1)**2*(t + 2)/5
Let i(r) be the first derivative of 63/10*r**5 + 0*r - 3 + 51/4*r**4 + 2*r**2 + 26/3*r**3. Suppose i(f) = 0. What is f?
-2/3, -2/7, 0
Factor -1 + 1/2*c**2 - 1/2*c.
(c - 2)*(c + 1)/2
Let x(m) be the second derivative of -m**7/273 - 2*m**6/195 + m**4/39 + m**3/39 - 5*m. Factor x(i).
-2*i*(i - 1)*(i + 1)**3/13
Suppose -7*q = -2*q - 25. Let f(k) = -2*k**2 - 2*k - 2. Let w(r) = -r**3 + 5*r**2 + 5*r + 5. Let g(v) = q*f(v) + 2*w(v). Factor g(h).
-2*h**3
Let n(j) = 2*j. Suppose -3 = -l - 1. Let d be n(l). Factor 0*f**d + 3*f + 5*f - 6*f**3 - 2*f**4.
-2*f*(f - 1)*(f + 2)**2
What is d in 26*d - 37*d**2 - 20 + 19*d**2 + 14*