 be the second derivative of -3/10*u**5 + 4*u + 0*u**x - 1/10*u**6 - 1/4*u**4 + 0*u**3 + 0. What is h in k(h) = 0?
-1, 0
Suppose -m + 0*q = 2*q, 2*q - 8 = -5*m. Suppose 2*d = 3*d - m. What is o in 2 - 6 + 4*o - 2*o**2 + d = 0?
1
Let m(y) be the first derivative of 1/7*y**2 + 2/21*y**3 - 1 + 0*y. Factor m(n).
2*n*(n + 1)/7
Let b**4 - 3*b**2 - 4*b**3 + 1 - 4*b + 7*b**2 + 2*b**2 + 0*b**4 = 0. What is b?
1
Suppose 4*q + 133 = 3*r + 23, 5*r = -2*q + 140. Suppose -3*o + 4*z + 6 = 1, 2*o - r = -4*z. Let -3*t**2 + 0*t - 6*t - 3 + 5 + o = 0. Calculate t.
-3, 1
Suppose 0 = -5*h - 10, -9*v = -13*v - 2*h + 8. Factor 0 + 0*x + 0*x**v + 3/4*x**4 + 1/4*x**5 + 0*x**2.
x**4*(x + 3)/4
Let d(r) = -36*r**3 - 6*r**2 - 36*r. Let y(q) = -5*q**3 - q**2 - 5*q. Let s(f) = -6*d(f) + 44*y(f). Factor s(n).
-4*n*(n + 1)**2
Let j = 437/15 + -29. Suppose 2/15 + 4/15*y + j*y**2 = 0. Calculate y.
-1
Let z(g) be the first derivative of -2*g**3/9 - g**2/6 - 5. Factor z(y).
-y*(2*y + 1)/3
Let u(k) be the third derivative of k**7/105 - k**6/80 - k**5/24 + k**4/16 + k**3/12 + 8*k**2. Determine q so that u(q) = 0.
-1, -1/4, 1
Suppose c = -w - 4, 8*c - 5*w - 20 = 10*c. Factor -6/7*m + c - 4/7*m**2.
-2*m*(2*m + 3)/7
Let -2*f**4 + 0 + 0*f + 14/3*f**3 - 2/9*f**5 - 22/9*f**2 = 0. Calculate f.
-11, 0, 1
Factor -69*w**3 + 39*w**4 + 58*w**5 - 91*w**3 - 382*w**5 + 429*w**4 + 16*w**2.
-4*w**2*(w - 1)*(9*w - 2)**2
Find y, given that 0*y + 16*y**2 - 15*y**2 - y**4 - 4*y + 4*y**3 = 0.
-1, 0, 1, 4
Let s(l) = l**3 - 15*l**2 - 14*l - 12. Let v be s(16). Let c = -20 + v. Factor 1/5*g**2 + c - 1/5*g.
g*(g - 1)/5
Let q(g) be the first derivative of 4*g**5 - 65*g**4/4 + 55*g**3/3 - 5*g**2 + 24. Find y such that q(y) = 0.
0, 1/4, 1, 2
Suppose 3*t + t - 17 = k, -5*t + 19 = k. Let 3/5*g**3 + 0 + 3/5*g**2 - 7/5*g**t + 3/5*g**5 - 2/5*g = 0. Calculate g.
-2/3, 0, 1
Let x = -16 - -31. Let o be 14/10 - (-3)/x. Find l, given that -2/5*l - 24/5*l**4 - 18/5*l**5 + 4/5*l**3 + 0 + o*l**2 = 0.
-1, 0, 1/3
Let v = 37 + -32. Let b(n) be the first derivative of 1 + 0*n - 1/3*n**3 + 0*n**2 - 32/3*n**6 + 16/5*n**v + n**4. Determine l, given that b(l) = 0.
-1/4, 0, 1/4
Suppose 2 + 4 = 3*s. Suppose o - 1/2 - 1/2*o**s = 0. Calculate o.
1
Suppose -2*d = -3*h - 5*d + 15, 5*h + 3*d - 21 = 0. Let f be 217/(-31)*(-1 + (-10)/(-14)). Determine k, given that 0*k**f + 3/4*k - 3/4*k**h + 0 = 0.
-1, 0, 1
Let z(m) be the third derivative of -8*m**2 - 3/40*m**6 + 0 - m**4 - 2*m**3 + 11/20*m**5 + 0*m. Factor z(r).
-3*(r - 2)**2*(3*r + 1)
Let x(l) be the first derivative of 2*l**5/5 + l**4/6 - 16*l**3/9 + 4*l**2/3 - 1. Solve x(n) = 0 for n.
-2, 0, 2/3, 1
Suppose -5*i + 0*v - 215 = v, 5*v + 19 = -i. Let j be 9/15 - i/10. Let -2/3*l**3 + l - 1/3 - 1/3*l**j + l**4 - 2/3*l**2 = 0. Calculate l.
-1, 1
Let r(g) be the first derivative of -12*g**3 + 0 + 8*g + 12 + 14*g**2 - 5. Suppose r(o) = 0. Calculate o.
-2/9, 1
Suppose -3*w = 0, -w - 2 - 4 = -3*f. Factor -16/3*u**f + 22/3*u - 2 - 8/3*u**3.
-2*(u + 3)*(2*u - 1)**2/3
Let j(o) be the first derivative of 5 - 1/2*o**3 + 9/4*o**2 - 3*o. Factor j(d).
-3*(d - 2)*(d - 1)/2
Factor 4/7*g**3 + 0 + 0*g + 10/7*g**4 - 2*g**5 + 0*g**2.
-2*g**3*(g - 1)*(7*g + 2)/7
Suppose 2*c + 0 = 6. Let z(v) = v - 7. Let y be z(9). Factor 15 - 16*i + 12 + c*i**y + 2*i - 4*i.
3*(i - 3)**2
Find m such that 15 - 3*m**4 - 3 - 5*m**2 - 15*m**3 - 2 + 15*m - 2*m**4 = 0.
-2, -1, 1
Let v = 2/543 - -7/14480. Let t(q) be the third derivative of 1/48*q**4 + 4*q**2 + 1/420*q**7 + 0 - 1/120*q**5 + 0*q - v*q**6 + 0*q**3. Factor t(p).
p*(p - 1)**2*(p + 1)/2
Suppose 8*w + 1 - 25 = 0. Let a(y) be the first derivative of 0*y - 1/2*y**2 + 2 - 1/6*y**w. Determine r so that a(r) = 0.
-2, 0
Let s(i) be the third derivative of i**7/4200 + i**6/600 - 3*i**5/200 - 5*i**4/24 + 7*i**2. Let w(r) be the second derivative of s(r). Factor w(q).
3*(q - 1)*(q + 3)/5
Let -4*k**3 + 16*k**3 + 2*k**2 - 14*k**2 + 4*k - 4*k**4 = 0. What is k?
0, 1
Let o(b) = -2 - 4*b**2 + 2*b - 8*b**2 + 13*b**2. Let j(m) = m**2 + 2*m - 3. Suppose -5*t = c + 12, -t + 0*c + c = 0. Let y(w) = t*j(w) + 3*o(w). Solve y(u) = 0.
-2, 0
Let g(p) = -8*p**4 + 6*p**2 - 5*p - 8. Let h(z) = 4*z + 5*z**4 + z**4 + z**4 - 6*z**2 + 7. Let w(j) = 4*g(j) + 5*h(j). Factor w(f).
3*(f - 1)**2*(f + 1)**2
Let b(w) be the second derivative of w**5/5 - 8*w**3/3 - 7*w. Solve b(o) = 0 for o.
-2, 0, 2
Let k(n) = -6*n**4 - 2*n**3 + 6*n**2 - 6*n + 8. Let m(p) = -2*p**4 - p**3 + 2*p**2 - 2*p + 3. Let s(g) = -3*k(g) + 8*m(g). Factor s(f).
2*f*(f - 1)**2*(f + 1)
Let a be (8 + -8)/(4*1/4). Solve -1/2*b**3 + 0 + 1/2*b**2 + a*b = 0 for b.
0, 1
Let o(x) be the second derivative of x**6/10 + 3*x**5/4 + 9*x**4/4 + 7*x**3/2 + 3*x**2 - 12*x. Suppose o(u) = 0. What is u?
-2, -1
Let q(f) be the first derivative of f**6/180 - f**5/90 - f**4/18 + 3*f**2/2 - 4. Let p(n) be the second derivative of q(n). Factor p(w).
2*w*(w - 2)*(w + 1)/3
Let d be 21/(-49) + 6/14. Determine t, given that 0*t**2 + 1/4*t**4 + 0*t + d*t**3 + 1/4*t**5 + 0 = 0.
-1, 0
Let f(w) be the second derivative of -w**6/840 + 3*w**5/280 - w**4/28 - 2*w**3/3 + 6*w. Let o(s) be the second derivative of f(s). Determine k so that o(k) = 0.
1, 2
Let k(d) be the first derivative of 32*d**3/27 + 4*d**2/9 - 4*d/9 - 22. Factor k(v).
4*(2*v + 1)*(4*v - 1)/9
Let g(q) be the first derivative of 8 - 1/12*q**3 + 0*q + 0*q**2. Solve g(u) = 0 for u.
0
Suppose -2*w = -6*w + 24*w. Factor 0 + 4/7*q**2 + 2/7*q - 2/7*q**5 + w*q**3 - 4/7*q**4.
-2*q*(q - 1)*(q + 1)**3/7
Let d(f) be the first derivative of 2*f**6/3 - 4*f**5/5 - 2*f**4 + 8*f**3/3 + 2*f**2 - 4*f - 5. Solve d(g) = 0.
-1, 1
Let l be (3/(-2))/3 - (-39)/54. Let d(g) be the first derivative of -2/3*g**2 + l*g**3 - 1 + 2/3*g. Factor d(c).
2*(c - 1)**2/3
Let m be 3*(-1)/(-3)*2. Factor 0*n**3 + 4*n**2 - m*n**3 + 6*n**3 + n**4.
n**2*(n + 2)**2
Let h(t) be the second derivative of t**8/36960 + t**7/13860 - t**6/3960 - t**5/660 - 5*t**4/12 + 5*t. Let w(m) be the third derivative of h(m). Factor w(r).
2*(r - 1)*(r + 1)**2/11
Let z(n) be the third derivative of 0 + 0*n**3 - n**2 + 0*n + 1/60*n**5 - 1/240*n**6 - 1/210*n**7 + 1/672*n**8 + 0*n**4. Find q, given that z(q) = 0.
-1, 0, 1, 2
Let m be 9/4 + 1/(-4). Let x = m - 2. What is i in -2*i**2 + x*i**2 + i + i**2 = 0?
0, 1
Let m(y) = -5*y**4 - 2*y**3 + 2*y**2 + 8*y + 3. Let q(k) = 5*k**4 + k**3 - k**2 - 9*k - 4. Let x(b) = -4*m(b) - 3*q(b). Factor x(v).
5*v*(v - 1)*(v + 1)**2
Solve w**5 - 8*w**4 - 3*w**5 + 6*w**4 = 0 for w.
-1, 0
Let z be 0 + 1 + (1 - 0). Suppose -3*f + i + 7 = 0, 2*f + 0*f - 2 = 2*i. Let -6*k**z + 3*k**4 - 5*k**4 - 2*k + 0*k**3 - f*k**3 - 3*k**3 = 0. Calculate k.
-1, 0
Let r(z) = -z**4 - z**3 - z**2 + 1. Let h(l) = -65*l**4 - 145*l**3 - 105*l**2 - 40*l - 20. Let v(q) = h(q) + 15*r(q). Factor v(i).
-5*(2*i + 1)**4
Let p be 1/(-4)*((-270)/(-10))/(-9). Determine v, given that p*v**2 - 3/2 - 3/4*v = 0.
-1, 2
Let t be 0/4 + -5*1. Let v = t + 8. Let -h**2 - 3*h**2 - 5*h**v - 4*h**4 + 4*h**2 - h**2 = 0. Calculate h.
-1, -1/4, 0
Let c(h) be the third derivative of 25*h**7/42 + 5*h**6/12 - h**5 + 7*h**4/12 - h**3/6 - h**2. Determine m, given that c(m) = 0.
-1, 1/5
Let y(k) be the first derivative of -25*k**3/9 + 5*k**2/6 - 29. Factor y(h).
-5*h*(5*h - 1)/3
Let i(j) be the first derivative of -1/60*j**5 - 2 - 2/3*j**3 + 0*j - 3/2*j**2 - 1/6*j**4. Let a(r) be the second derivative of i(r). Factor a(h).
-(h + 2)**2
Let v(j) be the third derivative of -j**9/7560 - j**8/3360 + j**7/1260 + j**6/360 + j**4/8 - 4*j**2. Let b(u) be the second derivative of v(u). Factor b(k).
-2*k*(k - 1)*(k + 1)**2
Suppose 2*t - k - 22 = 0, -4*t + 4*k + 15 = -29. Let f = 11 - t. Factor f*c**3 + 2/11*c**4 + 0*c + 0 - 2/11*c**2.
2*c**2*(c - 1)*(c + 1)/11
Let f(l) be the third derivative of l**7/315 + l**6/36 + l**5/10 + 7*l**4/36 + 2*l**3/9 - 18*l**2. Factor f(k).
2*(k + 1)**3*(k + 2)/3
Find q such that 12/5*q**2 - 3*q + 3/5 = 0.
1/4, 1
Determine d so that -10/9*d**3 + 0*d + 0 + 2/9*d**2 + 2*d**5 + 2/3*d**4 = 0.
-1, 0, 1/3
Let a(l) be the second derivative of -l**8/2240 + l**7/420 - l**6/240 + l**4/3 + l. Let o(g) be the third derivative of a(g). Find x, given that o(x) = 0.
0, 1
Let x(q) be the first derivative of -6/5*q + 3/20*q**4 - 3/10*q**2 + 2/5*q**3 - 5. Factor x(w).
3*(w - 1)*(w + 1)*(w + 