*i**3 + 22/5*i - 16/5*i**4 + 4/5 + 42/5*i**5 + 12/5*i**h = 0. What is i?
-1, -1/3, -2/7, 1
Suppose 2*a - 4*c + 8 = 0, 0*a + 13 = 2*a + 3*c. Suppose -4*w = -9*w + 25. Factor w*g**a - 1 - 3*g - 3*g**2 - 1.
(g - 2)*(2*g + 1)
Suppose c - 3*l = -15, -2*c + 5*c + 5*l - 25 = 0. Let t(d) be the second derivative of c + 0*d**3 + 0*d**2 + 1/12*d**4 - 3*d. Factor t(k).
k**2
Let k be 4*(1 - (2 + -3)). Suppose 5*z = z + k. Find b such that -4*b**2 + z*b**4 + 4*b**2 - 3*b**5 + 5*b**5 = 0.
-1, 0
Solve -203*h**2 - 6*h - 5*h + 202*h**2 = 0 for h.
-11, 0
Let j(m) be the first derivative of -3*m**5/5 - 15*m**4/4 - 4*m**3 - 5. Find k, given that j(k) = 0.
-4, -1, 0
Suppose -1/4*y**2 - 1/4 + 1/2*y = 0. What is y?
1
Let 2/9 + 0*q - 2/9*q**2 = 0. Calculate q.
-1, 1
Let x(a) be the second derivative of -1/3*a**6 - 1/21*a**7 - 7/6*a**4 + 0*a**2 + 5*a - 9/10*a**5 + 0 - 2/3*a**3. Determine i, given that x(i) = 0.
-2, -1, 0
Let o(p) = -12*p. Let q be o(0). Let w = -181/45 - -38/9. Factor -t**2 + 4/5*t**3 + 2/5*t + q - w*t**4.
-t*(t - 2)*(t - 1)**2/5
Let s = 0 + -15. Let c = s - -20. Let -2/7*d**2 + 2/7*d**4 + 0*d + 2/7*d**c - 2/7*d**3 + 0 = 0. What is d?
-1, 0, 1
Suppose 0 = 2*l + l - 15. Suppose -2*y + l = -b, 5*b = -y - 0*y + 8. Factor 2*o**2 - 7*o + 2*o + y*o.
2*o*(o - 1)
Let y(d) be the second derivative of 1/5*d**5 - 5/6*d**4 - d**2 + 4/3*d**3 + 0 - 3*d. Factor y(m).
2*(m - 1)**2*(2*m - 1)
Let y(p) be the second derivative of -p**5/60 + p**4/36 + p**3/18 - p**2/6 - 8*p. Factor y(m).
-(m - 1)**2*(m + 1)/3
Let a(r) be the first derivative of 2/13*r**2 + 2 + 2/13*r + 2/39*r**3. Factor a(i).
2*(i + 1)**2/13
Let k = 112/15 - 20/3. Factor -2*h + k - 14/5*h**2.
-2*(h + 1)*(7*h - 2)/5
Suppose 12/5*a - 12/5*a**3 + 9/5*a**4 - 21/5*a**2 + 12/5 = 0. What is a?
-1, -2/3, 1, 2
Let b = 114 + -683/6. Factor 1/6*o - b*o**3 + 0*o**2 + 0.
-o*(o - 1)*(o + 1)/6
Suppose -q + 6 = q. Let -q*m**5 - 5*m**3 + 6*m**4 + 8*m**2 + 4*m**5 + 25*m**3 - 10*m**5 = 0. Calculate m.
-2/3, 0, 2
Let d(j) be the first derivative of -3/8*j**2 + 0*j - 1/4*j**3 - 1. Factor d(z).
-3*z*(z + 1)/4
Let u(m) be the first derivative of 1/9*m**2 - 1/27*m**3 - 2*m - 5/54*m**4 + 4 - 1/30*m**5. Let s(k) be the first derivative of u(k). Factor s(j).
-2*(j + 1)**2*(3*j - 1)/9
Solve 0 - 4/7*l**2 + 2/7*l**5 + 0*l - 8/7*l**4 + 10/7*l**3 = 0.
0, 1, 2
Factor -4/3*y**3 - 8/3 - 4*y**2 + 20/3*y + 4/3*y**4.
4*(y - 1)**3*(y + 2)/3
Let a(p) = -191*p**4 + 623*p**3 + 541*p**2 + 142*p + 13. Let y(w) = -w**4 + w**3 - w**2 - w - 1. Let x(j) = a(j) + y(j). Solve x(b) = 0 for b.
-1/4, 4
What is k in -15*k**3 + 0*k - 5/2*k**4 + 0*k**2 + 5/2*k**5 + 0 = 0?
-2, 0, 3
Let q(u) be the third derivative of -u**5/60 + 5*u**4/24 + 4*u**3/3 - u**2. Let o be q(6). Let -1/2 + 5/4*l + 7/4*l**o = 0. What is l?
-1, 2/7
Suppose f - 3*z + 6 + 4 = 0, 0 = 4*z - 16. Solve 2/3*b - 7/3*b**f - 5/3*b**3 + 4/3*b**4 + 0 = 0.
-1, 0, 1/4, 2
Let w = -383728/385 - -10980/11. Let q(j) be the first derivative of -2 + 0*j**2 + 13/14*j**4 + 5/7*j**6 + w*j**5 + 4/21*j**3 + 0*j. Let q(i) = 0. Calculate i.
-1, -2/5, -1/3, 0
Let s(v) = -3*v**5 + 4*v**4 - 8*v**2 + v - 2. Let m(p) = -48*p**5 + 63*p**4 - 129*p**2 + 15*p - 33. Let f(z) = 2*m(z) - 33*s(z). Let f(g) = 0. What is g?
-1, 0, 1
Let j(o) be the third derivative of o**7/98 + o**6/35 + o**5/140 - o**4/28 + 2*o**2. Find p such that j(p) = 0.
-1, 0, 2/5
Let m be ((-1)/(-2))/1*4. Suppose 7*a + a**4 + 2*a**4 + m*a**2 - a**4 - 4 - a - 6*a**3 = 0. What is a?
-1, 1, 2
Let y(o) be the second derivative of -2/15*o**6 + 11/18*o**4 + 0 - 2*o**3 + 4/3*o**2 - 1/18*o**7 - 2*o + 5/12*o**5. Solve y(f) = 0 for f.
-2, 2/7, 1
Suppose 0 = -57*n + 58*n - 3. Solve -h**n - 5*h - 17/4*h**2 - 1 = 0 for h.
-2, -1/4
Suppose 4*a = 15*a. Let l(p) be the first derivative of 0*p**2 - 1 + a*p + 0*p**4 + 2/5*p**5 + 0*p**3 + 1/3*p**6. Determine r so that l(r) = 0.
-1, 0
Find j such that 40/9*j**2 + 8/9*j + 34/9*j**3 + 8/9*j**4 + 0 = 0.
-2, -1/4, 0
Let j(x) = 12*x**2 - 4*x - 10. Let i(z) = -11*z**2 + 3*z + 9. Let n(y) = -6*i(y) - 5*j(y). Solve n(g) = 0.
-1, 2/3
Let m(o) be the third derivative of -23/30*o**5 - 1/42*o**8 + 1/21*o**7 + 13/12*o**4 + 11/60*o**6 - 2/3*o**3 + 0*o - 8*o**2 + 0. Let m(t) = 0. What is t?
-2, 1/4, 1
Let k(c) = -4*c. Let b be k(2). Let y be 4*3*(-2)/b. Factor -3*n**y + 5*n**3 + 0*n**3.
2*n**3
Let s(k) be the third derivative of -k**7/105 + k**6/20 - k**5/30 - k**4/4 + 2*k**3/3 + 23*k**2. Factor s(l).
-2*(l - 2)*(l - 1)**2*(l + 1)
Let l be 134/140 + 34/(-340). Factor 9/7 + 1/7*y**2 - l*y.
(y - 3)**2/7
Let p be (2/(-14))/(508/(-14) + 2). Let c(j) be the third derivative of -2*j**2 + 0*j - 1/12*j**3 + 0 - 1/96*j**4 + p*j**5. Factor c(y).
(y - 2)*(y + 1)/4
Let v(z) = -4*z**3 + 50*z**2 - 192*z + 254. Let g(s) = s**2 - 1. Let i(u) = -2*g(u) + v(u). Find c, given that i(c) = 0.
4
Let f = 11 + -5. Suppose f = -4*y + 2*g, 5*g = 2*y + y + 15. Factor -2/3*l**2 - 2*l**3 - 2*l**4 + y*l - 2/3*l**5 + 0.
-2*l**2*(l + 1)**3/3
Let i = 24 - 24. Let p(z) be the second derivative of i + 9/80*z**5 - z + 0*z**2 + 1/6*z**3 - 1/4*z**4. Factor p(o).
o*(3*o - 2)**2/4
Let r = 1121/2 - 560. Find k such that r*k**2 + 1 + 3/2*k = 0.
-2, -1
Factor -8/3*o**2 + 0 + 8/3*o**3 - 2/3*o**4 + 0*o.
-2*o**2*(o - 2)**2/3
Let w(v) = -v**2 - 28*v - 196. Let q(b) = -5*b**2 - 140*b - 980. Let s(m) = 4*q(m) - 22*w(m). Solve s(j) = 0 for j.
-14
Let i(g) be the first derivative of 0*g**2 - 3*g + 2*g**3 - 3/5*g**5 + 0*g**4 + 4. Factor i(j).
-3*(j - 1)**2*(j + 1)**2
Let s(x) be the third derivative of x**6/40 - 3*x**5/20 + x**4/4 + x**2. Factor s(h).
3*h*(h - 2)*(h - 1)
Suppose 4*r - 2 = 4*f - 2*f, -r + 14 = 4*f. Factor 0 - 2/11*y**f + 0*y + 2/11*y**2.
-2*y**2*(y - 1)/11
Let p = 7 + -5. Let u(b) be the third derivative of 1/6*b**3 + 0*b + 1/60*b**5 + 0 + b**p + 1/12*b**4. Factor u(g).
(g + 1)**2
Find f, given that -2*f**3 + 4*f**2 + 6*f**3 - 3*f**3 - 2*f - 2 - 2*f**4 + 3*f**3 - 2*f**5 = 0.
-1, 1
Let y(l) = -5*l**2 - 5*l. Let s(z) = -4*z**2 - 6*z. Let n(h) = 3*s(h) - 2*y(h). Factor n(r).
-2*r*(r + 4)
Let t(b) = 76*b**4 - 188*b**3 + 100*b**2 + 364*b. Let s(i) = 7*i**4 - 17*i**3 + 9*i**2 + 33*i. Let q(a) = -32*s(a) + 3*t(a). Find c such that q(c) = 0.
-1, 0, 3
Suppose -x**2 - 1/4*x**3 + 1 + 1/4*x = 0. What is x?
-4, -1, 1
Let b(c) be the first derivative of -c**6/90 - c**5/60 + 4*c + 2. Let t(l) be the first derivative of b(l). What is v in t(v) = 0?
-1, 0
Let i(s) be the first derivative of -4/15*s**3 + 7 + 1/5*s**2 - 3/10*s**4 + 0*s. Let i(l) = 0. Calculate l.
-1, 0, 1/3
Let z(i) be the second derivative of 0 + 7*i - i**2 + 1/2*i**3 - 1/12*i**4. Factor z(n).
-(n - 2)*(n - 1)
Let j be 4/1 + (-2 - 0). Let d(m) be the first derivative of 12*m**j + 8*m - 14/3*m**3 - 2. What is a in d(a) = 0?
-2/7, 2
Let r = 4/15 + -1/10. Let q(u) be the second derivative of -1/3*u**3 + 0 + r*u**4 - 1/15*u**6 - 3*u + 0*u**2 + 1/10*u**5. Factor q(l).
-2*l*(l - 1)**2*(l + 1)
Factor 3/8*a**2 + 0*a + 0*a**3 - 3/8*a**4 + 0.
-3*a**2*(a - 1)*(a + 1)/8
Let k(m) = -3*m**3 - 9*m**2 - 6. Let p(i) = -3*i + 8 - 3 + 2*i**3 + 3*i + 8*i**2. Let x(n) = -5*k(n) - 6*p(n). Factor x(d).
3*d**2*(d - 1)
Let b(w) be the third derivative of -w**7/1680 + w**6/180 - w**5/60 + w**4/6 - 5*w**2. Let i(d) be the second derivative of b(d). Factor i(a).
-(a - 2)*(3*a - 2)/2
Let f(w) be the second derivative of 3*w + 0 - 1/3*w**4 + 2*w**2 + 5/3*w**3 - 1/2*w**5. Factor f(u).
-2*(u - 1)*(u + 1)*(5*u + 2)
Let m(b) be the second derivative of -b**9/10584 + b**8/2940 + b**3/2 + 3*b. Let d(k) be the second derivative of m(k). Factor d(o).
-2*o**4*(o - 2)/7
Let z = 2081648 - 1592460389/765. Let q = z + 1/85. Factor -10/9*n + 2/3*n**2 + q.
2*(n - 1)*(3*n - 2)/9
Let f(y) = y**2 + y**3 + 5 + 5*y - y**3 - 3*y**3 - 12*y**2. Let r(z) = 2*z**3 + 6*z**2 - 3*z - 3. Let k(p) = 3*f(p) + 5*r(p). Factor k(c).
c**2*(c - 3)
Let l(d) be the third derivative of 7*d**6/80 + 9*d**5/40 + d**4/8 + 3*d**2. Factor l(i).
3*i*(i + 1)*(7*i + 2)/2
Let x(g) = g**2 - 3*g. Let j be x(3). Suppose j*c + 20 = 5*c. Find k such that -2*k**3 + c*k**3 + 2*k**4 + 2*k**2 + 2*k**3 = 0.
-1, 0
Suppose 16 = -6*v - 14. Let a be (v - -3)/(-1) - -2. Solve -t**3 - t**2 + 1/2 + 1/2*t + 1/2*t**5 + 1/2*t**a = 0 for t.
-1, 1
Solve 2/3*x**2 - 10/3*x + 0 = 0 for x.
0, 5
Let d be 4/1 + (-6196)/(-44)