h that 3 - v*w**4 - 7 - 3*w**3 + 7*w**3 + 6*w**3 - 18*w**2 + 14*w = 0.
1, 2
Let c = 2340/7 + -334. Find l such that -2/7*l**2 - c + 4/7*l = 0.
1
Let t = 300 - 898/3. What is m in 0 + 0*m**3 - 2/3*m**4 + 0*m + t*m**2 = 0?
-1, 0, 1
Factor -6/7*w**4 - 2/7*w**2 + 0 - 6/7*w**3 - 2/7*w**5 + 0*w.
-2*w**2*(w + 1)**3/7
Let i = -788 - -1577/2. What is v in 1/2 + i*v**5 - v**3 + 1/2*v**4 + 1/2*v - v**2 = 0?
-1, 1
Let h(a) be the second derivative of 3*a**7/7 - 7*a**6/5 - a**5/5 + 10*a**4/3 - 8*a**3/3 + 6*a. Let h(y) = 0. What is y?
-1, 0, 2/3, 2
Suppose -5*t + 15 = -5*g, -3*g = t - 0*t - 11. Factor b**2 - 4 + 2 + 4 + 4*b**3 - 6*b**4 - 6*b + 2*b**t + 3*b**2.
2*(b - 1)**4*(b + 1)
Let i(l) = -l**2 + 2*l + 12. Let q be i(4). Let v(c) be the first derivative of 0*c**q + 0*c + 4/45*c**5 - 1/27*c**6 - 4/27*c**3 + 1/9*c**2 - 2. Factor v(m).
-2*m*(m - 1)**3*(m + 1)/9
Let a(c) = -191*c**4 - 205*c**3 - 77*c**2 - 3*c. Let o(z) = z**4 + z**3 - z**2 + z. Let p(h) = -a(h) + 5*o(h). Factor p(n).
2*n*(2*n + 1)*(7*n + 2)**2
Let d(t) = -5*t - 20. Let o be d(-4). Factor o*q + 1/4 - 1/4*q**2.
-(q - 1)*(q + 1)/4
Let f = 7 - 7. Suppose f + 2*l**3 + l**4 + 0 + l**4 = 0. Calculate l.
-1, 0
Suppose -4*z + 4 = -2*i, -z + 3*z = 4*i + 2. Factor 0*c + i - 2/7*c**3 + 0*c**2.
-2*c**3/7
Suppose -q - 2*q = -2*d, d = -2*q + 7. Factor 7*f + 3*f**q + 2*f**2 + 5*f - 3*f**2 + 18.
2*(f + 3)**2
Let u(h) = 4*h**3 - 3*h**2 - 5. Let b(i) = 4*i**3 - 2*i**2 - 6. Let d(l) = -5*b(l) + 6*u(l). Determine j so that d(j) = 0.
0, 2
Let m = 102 - 155. Let f = m + 267/5. Solve -2/5 - 6/5*u - f*u**3 - 6/5*u**2 = 0.
-1
Let h(u) = -1 + 0*u**3 + u**3 + u**2 + 0 + 2. Let f be (-2 - (2 + -2)) + 1. Let p(o) = -3*o**2 - 3*o - 3. Let v(q) = f*p(q) - 3*h(q). What is c in v(c) = 0?
-1, 0, 1
Let o = 67/40 - 7/40. Let -o*d - 1/2 - 1/2*d**3 - 3/2*d**2 = 0. Calculate d.
-1
Let a(r) be the first derivative of r**5/20 - 3*r**4/16 + r**3/6 - 3. Factor a(v).
v**2*(v - 2)*(v - 1)/4
Let n = -26 - -235/9. Let s(m) be the first derivative of -1 + n*m**2 + 0*m + 2/27*m**3. Factor s(i).
2*i*(i + 1)/9
Factor 1/6*p**3 - 2/3*p**2 + 0*p + 0.
p**2*(p - 4)/6
Let l(x) be the second derivative of -x**6/50 + 2*x**5/25 - x**4/20 - x**3/15 - 2*x. Factor l(v).
-v*(v - 2)*(v - 1)*(3*v + 1)/5
Let d(s) = -7*s**4 + 7*s**3 + 7*s**2 - s. Let g(y) = -20*y**4 + 20*y**3 + 20*y**2 - 3*y. Let x(f) = 17*d(f) - 6*g(f). Suppose x(n) = 0. What is n?
-1, 0, 1
Let o(k) = -4*k**5 - 2*k**4 + 2*k**3 + 3*k**2 + 3*k - 3. Let s(r) = -r**5 + r**3 + r**2 + r - 1. Let f(l) = -o(l) + 3*s(l). Factor f(g).
g**3*(g + 1)**2
Let t(i) be the third derivative of i**5/80 + i**4/32 - 3*i**2. Suppose t(d) = 0. Calculate d.
-1, 0
Let f = -632 + 636. Determine m so that -f*m - 8/3 + 8/3*m**2 = 0.
-1/2, 2
Let i(y) be the first derivative of y**6/15 + y**5/5 - 2*y**3/3 - y**2 - 5*y - 5. Let r(b) be the first derivative of i(b). Factor r(h).
2*(h - 1)*(h + 1)**3
Suppose -3*m + 6 = -0*m. Let s = -3 + 6. Factor -g**2 + 2*g**m - g**s + 2*g**3.
g**2*(g + 1)
Let n(p) be the second derivative of p**9/15120 + p**8/6720 - p**7/2520 - p**6/720 + p**4/3 + 5*p. Let b(i) be the third derivative of n(i). Solve b(z) = 0.
-1, 0, 1
Find k, given that 2*k**2 - 1/3*k**4 - 4/3*k**3 - 5/3 + 4/3*k = 0.
-5, -1, 1
Let t(l) be the second derivative of 25*l**7/42 + l**6/2 - 7*l**5/4 - 5*l**4/4 + 5*l**3/3 - 9*l. Let t(g) = 0. What is g?
-1, 0, 2/5, 1
Let c(n) be the first derivative of n**9/1512 - n**7/210 + n**5/60 + 5*n**3/3 - 7. Let q(l) be the third derivative of c(l). Let q(g) = 0. What is g?
-1, 0, 1
Let u(q) be the second derivative of -q**4/7 + 2*q**3/21 + 4*q**2/7 - 10*q. Determine g so that u(g) = 0.
-2/3, 1
Factor 3/2*d**3 - 3/2*d + 3 + 3/2*d**4 - 9/2*d**2.
3*(d - 1)**2*(d + 1)*(d + 2)/2
Let h = -24 + 26. Factor -1/5*k**3 + 1/5*k**h + 0 + 0*k.
-k**2*(k - 1)/5
Factor 3/2*g**2 + 6*g + 0.
3*g*(g + 4)/2
Let d be ((-33)/44 - (-46)/40)/1. Let w = 874/5 + -174. Factor d*a**5 - 6/5*a - 2/5 - w*a**2 + 4/5*a**3 + 6/5*a**4.
2*(a - 1)*(a + 1)**4/5
Let c = -4/39 + 56/39. Factor r**2 + 1/3 - c*r.
(r - 1)*(3*r - 1)/3
Let j(g) be the second derivative of g**5/30 + 7*g**4/108 - 2*g**3/27 + g**2 + 2*g. Let b(y) be the first derivative of j(y). Suppose b(v) = 0. What is v?
-1, 2/9
Determine t, given that -6/5*t - 7/5 + 1/5*t**2 = 0.
-1, 7
Let d be ((-5)/35)/(-3 + (-20)/(-8)). Find w such that -d*w + 0 - 2/7*w**2 = 0.
-1, 0
Let t be 2/13 - (-45)/(-39). Let y(b) = 2*b**2 + 1. Let h be y(t). Solve 2/3*j**h - 1/3*j**4 - 1/3 - 1/3*j + 2/3*j**2 - 1/3*j**5 = 0.
-1, 1
What is b in 2*b**3 - 2*b**2 - 5*b**5 + 3*b**5 - 3*b**4 - b**4 + 6*b**4 = 0?
-1, 0, 1
Let j = 2 - -2. Solve -a**2 + 0*a**3 - a + a**j - 3*a**3 + 4*a**3 = 0 for a.
-1, 0, 1
Let p(f) be the second derivative of 0 + 0*f**3 - 1/27*f**4 + 7*f + 1/30*f**5 - 1/135*f**6 + 0*f**2. What is y in p(y) = 0?
0, 1, 2
Let h(m) be the third derivative of 5*m**8/1176 + m**7/35 + m**6/30 - 3*m**5/35 - 19*m**4/84 - m**3/7 + 16*m**2. Solve h(r) = 0 for r.
-3, -1, -1/5, 1
Let t(x) be the second derivative of x**6/15 + x**5/10 - x**4/2 - 5*x**3/3 - 2*x**2 - x. Suppose t(k) = 0. What is k?
-1, 2
Let u(m) = m**3 + 9*m**2 + 2*m + 6. Let l be u(-9). Let b be (-8)/l - (-10)/(-33). Let -b*z + 2/11*z**2 + 2/11 = 0. Calculate z.
1
Determine y, given that 0*y - 4/3*y**3 + 2/3*y**4 + 2/3*y**2 + 0 = 0.
0, 1
Let u(v) be the second derivative of -v**4/102 - v**3/17 + 10*v**2/17 + 25*v. Factor u(s).
-2*(s - 2)*(s + 5)/17
Let q(k) be the third derivative of k**9/10584 - k**8/2940 + k**6/630 - k**5/420 + k**3/3 - 2*k**2. Let c(i) be the first derivative of q(i). Factor c(o).
2*o*(o - 1)**3*(o + 1)/7
Let t be ((-22)/(-1))/(6 + -7). Let j be 4/24 + t/(-12). Factor 2/5*n**j - 4/5*n + 0.
2*n*(n - 2)/5
Suppose -5*c - 3*p + 56 = -0*p, 0 = -4*c - 2*p + 44. Factor 6*n + 8*n**4 - 8*n**2 - 2*n - 6*n**2 - c*n**3.
2*n*(n - 2)*(n + 1)*(4*n - 1)
Let c(d) be the first derivative of 0*d**3 - 1 - 1/2*d**4 + 0*d + d**2. Find n, given that c(n) = 0.
-1, 0, 1
Let w(h) be the second derivative of -h**7/21 + 8*h**6/45 - 5*h**4/9 + h**3/3 + 2*h**2/3 - 5*h. Determine l, given that w(l) = 0.
-1, -1/3, 1, 2
Let b(y) be the second derivative of 0 - 4/3*y**4 + 2*y - 14/3*y**3 - 6*y**2. Factor b(n).
-4*(n + 1)*(4*n + 3)
Factor -3/8 - 3/8*y**2 - 3/4*y.
-3*(y + 1)**2/8
Suppose a - 1 = -4, 4*q + 2*a = 6. Suppose 3*k**3 - 3*k**4 - q*k - 2*k**2 - 13*k**2 + 9*k**3 + 9*k = 0. Calculate k.
0, 1, 2
Let s = -112127/96 + 1168. Let x(w) be the third derivative of 0 + 1/120*w**5 - 1/480*w**6 + 0*w + 4*w**2 - s*w**4 + 0*w**3. What is m in x(m) = 0?
0, 1
Suppose m = 2*m - 3*m. Find w, given that m - 6*w**2 - 4/5*w - 54/5*w**3 = 0.
-1/3, -2/9, 0
Let a(i) be the third derivative of i**8/80640 + i**7/5040 + i**6/720 - i**5/30 - 3*i**2. Let m(z) be the third derivative of a(z). Solve m(w) = 0 for w.
-2
Let b = -242212 + 1692627/7. Let l = 409 + b. Let -l*p + 2/7*p**2 + 4/7 = 0. What is p?
1, 2
Let s be (-1)/(2 + (-21)/9). Factor 12*l**2 - 2*l - 2*l - 18*l**3 - s*l**5 + 12*l**4 + l.
-3*l*(l - 1)**4
Let w(u) be the second derivative of 0 - 2/5*u**6 + 5/2*u**3 - 3/5*u**5 + 3*u**2 - 1/14*u**7 + 1/2*u**4 - 3*u. Determine b so that w(b) = 0.
-2, -1, 1
Let o = 83/252 - -1/252. Factor 0 + 2/3*y**3 + 3/2*y**2 + o*y.
y*(y + 2)*(4*y + 1)/6
Let j be (-72)/(-34) + 24/(-204). Let q(v) be the first derivative of 2 - 1/5*v**j + 0*v + 2/15*v**3. Let q(z) = 0. Calculate z.
0, 1
Let z(j) = j**2 + 5*j - 8. Let o(x) = -2*x**2 - 4*x + 8. Let m(l) = -3*o(l) - 4*z(l). Factor m(v).
2*(v - 2)**2
Let q(m) be the second derivative of m**6/480 - m**5/120 + m**4/96 + m**2/2 + m. Let j(i) be the first derivative of q(i). Suppose j(z) = 0. What is z?
0, 1
Let y(t) be the first derivative of -2*t**4 - 6*t**3 - 6*t**2 - 2*t - 5. Determine b so that y(b) = 0.
-1, -1/4
Suppose x + 18 = 20. Let d(k) be the third derivative of -1/48*k**4 + 0*k + 1/240*k**5 - x*k**2 + 0 + 1/24*k**3. Factor d(w).
(w - 1)**2/4
Let r(d) be the second derivative of -5/6*d**4 - 2*d + 2/5*d**5 + 1/6*d**3 + 1/2*d**2 + 0. Factor r(p).
(p - 1)*(2*p - 1)*(4*p + 1)
Let j be 1*(158/6 + 0). Let a = j - 25. Factor 2/3 - a*g + 2/3*g**2.
2*(g - 1)**2/3
Let d = -75 - -227/3. Let a(b) be the first derivative of 0*b**2 + d*b**3 + 1 - b + 0*b**4 - 1/5*b**5. Determine g, given that a(g) = 0.
-1, 1
Solve 4/9*t - 8/9 + 4