t - 1. What is g in -4*g**3 - 2*g**t + 5*g**3 - g**2 = 0?
-1, 0
Let k = -1407/5 + 282. Factor 0*j**4 + 0 - 6/5*j**3 - k*j - 8/5*j**2 + 1/5*j**5.
j*(j - 3)*(j + 1)**3/5
Suppose -7 = -3*i + 8. Determine z, given that 4/9 - 8/9*z**4 + 10/9*z - 8/9*z**3 + 4/9*z**2 - 2/9*z**i = 0.
-2, -1, 1
Suppose -l - 2 + 7 = -3*n, -2*n - 5*l + 25 = 0. Factor n + 2/5*d**3 + 0*d + 7/5*d**4 + 0*d**2.
d**3*(7*d + 2)/5
Factor -f**3 + 101 - 102 - 2*f**2 - 3*f**2 - 3*f + 2*f**2.
-(f + 1)**3
Let c(a) = a**5 - 3*a**4 - 3*a**3 + 3. Let i(p) = 2*p**5 - 2*p**4 - 4*p**3 + 4. Let k(m) = 4*c(m) - 3*i(m). Find f, given that k(f) = 0.
-3, 0
Let u be (-2 - 3/(-3)) + 14/10. Suppose u*c**5 - 4/5 - 2*c - 4/5*c**2 + 8/5*c**3 + 8/5*c**4 = 0. What is c?
-2, -1, 1
Find f, given that 35*f**4 - 69*f**3 - f**5 + 45*f**2 - 4*f**5 - 6*f**3 = 0.
0, 1, 3
Let x be (-33)/9*1*1. Let g = -53/21 - x. Suppose 0*n + g*n**2 - 2/7*n**5 + 0 + 0*n**3 - 6/7*n**4 = 0. What is n?
-2, 0, 1
Let o(d) be the first derivative of d + 4/3*d**4 + 7/20*d**5 + 4 + d**2 + 11/6*d**3. Let n(r) be the first derivative of o(r). Factor n(w).
(w + 1)**2*(7*w + 2)
Suppose 0*n + 6 = 2*n. Let d be 5 - n - (1 + -1). Factor 0 + 0*w - 11/3*w**4 + 0*w**d - 3*w**5 - 2/3*w**3.
-w**3*(w + 1)*(9*w + 2)/3
Let m(r) be the third derivative of -1/1440*r**6 + r**2 - 1/240*r**5 + 0 + 0*r - 1/96*r**4 + 1/6*r**3. Let u(x) be the first derivative of m(x). Factor u(b).
-(b + 1)**2/4
Let y = -457 - -2293/5. Find k such that -2/5*k**3 - y*k**2 - 2*k - 4/5 = 0.
-2, -1
Let m(x) be the first derivative of -7*x**6/18 - 4*x**5/5 - x**4/4 + 2*x**3/9 - 2. Suppose m(w) = 0. What is w?
-1, 0, 2/7
Suppose -19 + 11 = -4*i. Let g(c) be the second derivative of i*c - 1/4*c**2 + 1/8*c**4 - 1/6*c**3 + 0. What is d in g(d) = 0?
-1/3, 1
Let w(q) be the first derivative of 2 - q**2 + 1/2*q**4 - q + 0*q**3 + 1/5*q**5. Factor w(u).
(u - 1)*(u + 1)**3
Let g(r) = 202*r**3 - 194*r**2 - 40*r + 24. Let w(t) = -67*t**3 + 65*t**2 + 13*t - 8. Let j(z) = -3*g(z) - 8*w(z). Factor j(o).
-2*(o - 1)*(5*o + 2)*(7*o - 2)
Let i = 37/2 + -17. Factor 9/2*a - i*a**2 - 3.
-3*(a - 2)*(a - 1)/2
Let p(c) be the third derivative of -c**5/45 - c**4/72 - 10*c**2. Factor p(z).
-z*(4*z + 1)/3
Suppose -3*h - 48 + 48 = 0. Solve 5/4*s**4 + 0 + 3/4*s**5 + 1/2*s**3 + h*s + 0*s**2 = 0 for s.
-1, -2/3, 0
Let q(a) be the second derivative of 1/4*a**4 + 0 - 6*a + 27/2*a**2 + 3*a**3. Find m such that q(m) = 0.
-3
Let g(z) be the second derivative of z**5/20 - z**4/12 + z**3/6 - z**2/2 + 7*z. Let p(w) = 3*w**2 - 6*w + 3. Let r(h) = 3*g(h) + p(h). Let r(k) = 0. What is k?
-1, 0, 1
Let g be 0/(2 + -2 + 2). Let a(k) be the first derivative of g*k**2 + 2/3*k**3 - 3 - 2*k. Find s such that a(s) = 0.
-1, 1
Suppose 0*i = -0*i + i. Find l, given that i + 2/5*l**5 + 0*l**2 + 0*l**4 + 2/5*l - 4/5*l**3 = 0.
-1, 0, 1
Let d(k) be the third derivative of k**8/100800 + k**7/12600 + k**6/3600 + 7*k**5/60 + k**2. Let i(j) be the third derivative of d(j). Let i(u) = 0. What is u?
-1
Let r(i) be the first derivative of -i**3/4 + i**2/2 - i/4 + 2. Find g, given that r(g) = 0.
1/3, 1
Factor 0 - 2/3*o**2 - 1/3*o - 1/3*o**3.
-o*(o + 1)**2/3
Let x(h) = 7*h**4 + 3*h**3 - 62*h**2 - 2*h. Let m(y) = 50*y**4 + 20*y**3 - 435*y**2 - 15*y. Let c(z) = 2*m(z) - 15*x(z). Solve c(s) = 0 for s.
-4, 0, 3
Suppose 1/2*q + 0 - 1/4*q**3 - 1/4*q**2 = 0. What is q?
-2, 0, 1
Let x be 2/7 + 220/14. Let i be (-4)/x + (-18)/(-8). Factor -3*y**2 - 2 - i + 5*y + 2.
-(y - 1)*(3*y - 2)
Let h(x) be the third derivative of x**7/315 - x**6/180 - 4*x**2. Factor h(a).
2*a**3*(a - 1)/3
Let g(j) = -8*j**2 - 4*j + 6. Let c(i) = 17*i**2 + 8*i - 12. Let l(z) = -6*c(z) - 13*g(z). Suppose l(r) = 0. What is r?
-3, 1
Suppose h = 4*c + 3, 0 = -10*c + 9*c - 4*h + 12. Suppose -15/4*r**2 + c + 3/4*r = 0. Calculate r.
0, 1/5
Let g(o) be the third derivative of o**7/210 + o**6/180 - 7*o**5/480 + o**4/96 + 2*o**3/3 - 5*o**2. Let q(t) be the first derivative of g(t). Factor q(i).
(i + 1)*(4*i - 1)**2/4
Let t(k) = k**2 + 2. Let r(h) = -3*h**2 - h - 7. Let q(s) = s - 9. Let z be q(5). Let p(i) = z*r(i) - 14*t(i). Factor p(x).
-2*x*(x - 2)
Let r(o) = o**3 + 3*o**2 - 3*o + 1. Let a(t) = -5*t**3 - 16*t**2 + 16*t - 6. Let c be -2 + 1/(2/(-18)). Let q(b) = c*r(b) - 2*a(b). What is d in q(d) = 0?
-1, 1
Let r(i) be the second derivative of 2/9*i**3 - 1/15*i**5 + 0*i**4 + i - 1/3*i**2 + 0 + 1/45*i**6. Factor r(u).
2*(u - 1)**3*(u + 1)/3
Factor -2 + 79*t - 6*t**2 - 226*t + 2*t**3 + 75*t + 78*t.
2*(t - 1)**3
Let u = 33 + -23. Suppose -5*c + u + 0 = 0. Suppose 0*p + 2*p**2 - c*p + 2*p**2 - 6*p**2 = 0. What is p?
-1, 0
Let u(q) be the third derivative of -q**5/80 + q**4/32 + q**3/4 - 4*q**2. Factor u(y).
-3*(y - 2)*(y + 1)/4
Let c(k) be the third derivative of 2*k**7/315 - 7*k**6/90 + k**5/3 - 13*k**4/18 + 8*k**3/9 + k**2 - 11*k. Factor c(b).
4*(b - 4)*(b - 1)**3/3
Let a(f) be the second derivative of 0 - 3/4*f**2 - f + 1/4*f**3 - 1/32*f**4. Solve a(z) = 0 for z.
2
Let y(g) be the third derivative of 2*g**7/105 + 11*g**6/15 + 121*g**5/15 + 34*g**2. Factor y(i).
4*i**2*(i + 11)**2
Let l(i) be the first derivative of -i**3 + 0*i**3 - 6*i + 2 + 6*i. Determine n, given that l(n) = 0.
0
Suppose -5*q = -2*w - 37, 2*q + q = 15. Let m be (w/(-10))/((-12)/(-8)). Determine z, given that -1/5 - m*z - 1/5*z**2 = 0.
-1
Let z be 2/14 + (-187)/(-357). Let h = -12 + 37/3. Suppose -z*v**3 + 0 + h*v**4 + 0*v + 1/3*v**2 = 0. Calculate v.
0, 1
Let l = -1760 - -6953/4. Let q = l + 22. Find a such that -1/4 + q*a**2 + 0*a = 0.
-1, 1
Let g(p) be the second derivative of -1/9*p**3 + 0*p**2 + 0 - 1/63*p**7 + 0*p**4 + 1/15*p**5 - 6*p + 0*p**6. Factor g(i).
-2*i*(i - 1)**2*(i + 1)**2/3
Let n(l) be the third derivative of l**5/360 + l**4/72 + l**3/36 + l**2. Determine o so that n(o) = 0.
-1
Let o(z) be the third derivative of 2*z**2 + 0 - 2/135*z**5 + 1/945*z**7 + 0*z + 1/45*z**6 - 5/504*z**8 + 0*z**4 + 0*z**3. Let o(w) = 0. What is w?
-1, 0, 2/5, 2/3
Let t(v) be the second derivative of 5*v**4/12 - 25*v**3/6 - 16*v. Factor t(m).
5*m*(m - 5)
Let m = 6467262/185 + -34958. Let p = m - -1/37. Solve 1/5*r**2 + p*r - 1/5*r**3 - 1/5 = 0.
-1, 1
Let n = 599/4 - 149. Factor -n*t**5 + 0*t**2 - 3/4*t**4 + 0*t**3 + 0*t + 0.
-3*t**4*(t + 1)/4
Let n = -6 - -8. Factor 4*q**2 - 4*q**2 + q**2 - q - n.
(q - 2)*(q + 1)
Suppose -x = 4*m - 3*x - 2, -3*x - 12 = 3*m. Let g(v) = 3*v**2 - v. Let o be g(m). Factor 2*r**o - r + 4*r**2 + 2*r**2 - 6*r**3 - r.
2*r*(r - 1)**3
Suppose -7 + 13 = 3*v. Determine p, given that -4/7*p**v + 6/7*p - 2/7*p**5 + 6/7*p**4 - 4/7*p**3 - 2/7 = 0.
-1, 1
Let p(g) = g**3 + g**2 + 2. Let k(h) = -3*h**3 - 2*h**2 + h - 7. Let b(l) = -2*k(l) - 7*p(l). Suppose b(i) = 0. Calculate i.
-2, -1, 0
Let d be (-238)/98 + 6*(-1)/(-2). Factor 2/7 + 2/7*q**2 - d*q.
2*(q - 1)**2/7
Let b(x) be the second derivative of x**7/231 + x**6/55 + x**5/55 - 5*x. Factor b(s).
2*s**3*(s + 1)*(s + 2)/11
Factor 438 - 438 - 8*s**3 + 2*s**2.
-2*s**2*(4*s - 1)
Let v(m) be the first derivative of m**6/1260 - m**4/84 + m**3 + 1. Let h(d) be the third derivative of v(d). What is q in h(q) = 0?
-1, 1
Let q(v) = -5*v**2 + 4*v - 5. Suppose -5*l + l = 20. Let w(c) = -4*c**2 + 3*c - 4. Let m(y) = l*q(y) + 6*w(y). Solve m(j) = 0.
1
Let m(v) = 33*v**2 - 27*v - 15. Let p(f) = 17*f**2 - 14*f - 8. Let l be 1 - (8 + -2 + 0). Let u(r) = l*m(r) + 9*p(r). Factor u(b).
-3*(b - 1)*(4*b + 1)
Factor 3/7*a**3 - 3/7*a**2 + 0 + 0*a.
3*a**2*(a - 1)/7
Let k(p) be the third derivative of 1/150*p**5 + 6*p**2 - 1/840*p**8 + 1/300*p**6 - 1/525*p**7 + 0*p**3 + 0 + 0*p + 0*p**4. Determine c, given that k(c) = 0.
-1, 0, 1
Find o such that 0 + 0*o + o**2 + 1/2*o**3 = 0.
-2, 0
Suppose -12 = -x - 3*x. Factor 3 + 2*u**2 - 2*u**3 + x*u - 5 - u.
-2*(u - 1)**2*(u + 1)
Find w, given that 2/11*w**2 + 4/11 - 6/11*w = 0.
1, 2
Find l, given that 0 + 3*l**4 - 2/3*l + 13/3*l**2 - 20/3*l**3 = 0.
0, 2/9, 1
Let y be (-1)/4 - (-110)/(-40). Let k = 1 - y. Factor -5/3*p**2 - p**k - 7/3*p**3 - 1/3*p + 0.
-p*(p + 1)**2*(3*p + 1)/3
Solve 1 - 5*t + 13*t + 20*t**2 - 1 = 0.
-2/5, 0
Let r(f) be the third derivative of -f**8/84 - 4*f**7/105 + f**6/30 + 2*f**5/15 + 8*f**2. Find v, given that r(v) = 0.
-2, -1, 0, 1
Factor -12/5*v**3 + 0 - 3/5*v**4 - 3*v**2 - 6/5*v.
-3*v*(v + 1)**2*(v + 2)/5
Let b(y) be th