 first derivative of -u**4/30 + 4*u**3/45 - 14. Factor h(o).
-2*o**2*(o - 2)/15
Suppose -6*z + 3*z - 72 = 0. Let f be ((-6)/4)/(9/z). Find m, given that m**3 - f*m**4 + 2*m**2 - 3*m**2 - 6*m**3 = 0.
-1, -1/4, 0
Let q(m) be the second derivative of -m**7/280 + m**6/60 - m**5/30 + m**4/6 + 3*m. Let j(n) be the third derivative of q(n). Find d such that j(d) = 0.
2/3
Let r(k) = 4*k**2 + 1. Let q be r(-1). Suppose 3*o - 22 = -5*g, q*g + 5*o - 28 = g. Factor -8*f + 21*f**2 + 5*f**4 - 3*f**4 - 9*f**g + 2 - 8*f**3.
2*(f - 1)**4
Let a = 107 - 104. Let j = 91 + -545/6. Find i such that -1/6*i**2 - j*i + 1/6 + 1/6*i**a = 0.
-1, 1
Let c(j) be the third derivative of -j**7/385 + 3*j**5/110 - j**4/22 - 24*j**2. Factor c(y).
-6*y*(y - 1)**2*(y + 2)/11
Let r(i) be the second derivative of -i**4/66 + 7*i**3/11 - 20*i**2/11 - 46*i. Determine k, given that r(k) = 0.
1, 20
Let g be 0 + ((-6)/(-2) - 2). Suppose -g = -5*l + 9. Find j, given that 0*j**2 + j**l + j**2 - 2 = 0.
-1, 1
Let i be (798/(-48))/(2/8). Let s = i + 69. Determine a, given that -2*a**2 + 1/2*a**3 - 1 + s*a = 0.
1, 2
What is s in 77*s - 17*s - 106*s**2 + 101*s**2 - 180 = 0?
6
Let z(k) be the second derivative of k**6/165 + k**5/55 - 16*k. Factor z(u).
2*u**3*(u + 2)/11
Let u(i) = i**3 - 4*i**2 - 2*i + 6. Let g be u(4). Let w be 3/6*(-12)/g. Factor -w*j + j - 2*j**5 + 6*j**2 + 2*j**2 - 12*j**3 + 8*j**4.
-2*j*(j - 1)**4
Suppose 32 + 22 = 3*u. Let r be (1/4)/(u/192). Let 2/3 - r*y + 2*y**2 = 0. Calculate y.
1/3, 1
Determine r, given that -3*r - 5*r**2 - r - 2*r**2 - r**2 = 0.
-1/2, 0
Let o(m) = -m**4 + m**3 - m**2 - 1. Let f = 1 - 5. Let a = f + 5. Let n(g) = 7*g**4 - 6*g**3 + 3*g**2 + 4. Let b(i) = a*n(i) + 4*o(i). Factor b(v).
v**2*(v - 1)*(3*v + 1)
Let q(k) be the second derivative of -k**7/21 - 3*k**6/5 - 13*k**5/5 - 3*k**4 + 9*k**3 + 27*k**2 + 15*k. Let q(f) = 0. Calculate f.
-3, -1, 1
Let i(u) be the third derivative of 0*u + 0 + 8/45*u**5 + 2/9*u**3 - 6*u**2 - 13/36*u**4 - 1/36*u**6. Solve i(n) = 0 for n.
1/5, 1, 2
Let o(z) be the first derivative of -z**4/24 - z**3/6 - z**2/4 - 6*z - 9. Let m(w) be the first derivative of o(w). Suppose m(b) = 0. What is b?
-1
Let v be 2/(-11) - (-216)/99. Let t(p) be the second derivative of -1/9*p**3 + 0 + v*p + 1/30*p**5 + 0*p**4 + 0*p**2. Factor t(w).
2*w*(w - 1)*(w + 1)/3
Let u be -4 - 2/((-2)/7). Let i(x) be the first derivative of 0*x + 1/2*x**2 - 1/6*x**6 - 2/5*x**5 + 0*x**4 - 2 + 2/3*x**u. Factor i(g).
-g*(g - 1)*(g + 1)**3
Factor w**2 - 1/2*w**5 + 1/2 - w**3 - 3/2*w**4 + 3/2*w.
-(w - 1)*(w + 1)**4/2
Let h = 1/29 - -113/87. Factor -2/3*k**2 + 2*k**3 - h*k + 0.
2*k*(k - 1)*(3*k + 2)/3
Let t(j) be the first derivative of -2*j**5/85 - 9*j**4/17 - 122*j**3/51 + 180*j**2/17 - 200*j/17 - 45. Solve t(v) = 0.
-10, 1
Let o(p) be the second derivative of p + 0 - 9/70*p**5 - 1/21*p**3 - 1/7*p**4 + 0*p**2 - 4/105*p**6. Let o(d) = 0. Calculate d.
-1, -1/4, 0
Let x = -39 + 43. Let 0 - 5/4*w**x + 3/2*w**3 + 0*w - 1/4*w**2 = 0. What is w?
0, 1/5, 1
Let t(x) be the second derivative of x**7/630 - x**6/120 + x**5/60 - x**4/72 - 2*x**2 - x. Let c(m) be the first derivative of t(m). Factor c(v).
v*(v - 1)**3/3
Suppose 3 = 2*h - 5. Let u(d) be the third derivative of -1/9*d**3 + 0 + 0*d**h - 2*d**2 + 1/90*d**5 + 0*d. Suppose u(r) = 0. What is r?
-1, 1
Suppose 4*t = 5*u + 5 - 13, -3*u + 3*t + 3 = 0. Factor -14/11*r**u + 24/11*r**3 + 0 - 6/11*r**2 - 4/11*r.
-2*r*(r - 1)**2*(7*r + 2)/11
Suppose i = -4*i, -3*i = -5*q. Let c(u) be the third derivative of 1/30*u**5 - 1/6*u**4 + 0 + q*u + 1/3*u**3 - u**2. Let c(v) = 0. What is v?
1
Suppose 4*q - 1 = 11. Let f(n) be the second derivative of -1/20*n**5 + 0*n**2 + 1/12*n**4 + 0*n**q + 0 - n. Solve f(c) = 0.
0, 1
Let v(n) = -6*n**4 + 30*n**3 - 49*n**2 + 42*n - 12. Let l(h) = -3*h**4 + 15*h**3 - 25*h**2 + 21*h - 6. Let m(x) = -5*l(x) + 2*v(x). Suppose m(u) = 0. What is u?
1, 2
Let d(a) be the second derivative of 3*a**5/100 + a**4/10 - 3*a**3/10 + 8*a. Factor d(h).
3*h*(h - 1)*(h + 3)/5
Let y = 14 + -6. Factor -8*l + 3*l**4 + l**3 - 4*l + y*l**3.
3*l*(l - 1)*(l + 2)**2
Let s(j) = -j**2 + 1. Let b(x) = -4*x**2 + 9*x - 5. Let i(v) = b(v) - 5*s(v). Factor i(z).
(z - 1)*(z + 10)
Let q(z) be the second derivative of 5*z**4/21 + 4*z**3/7 + 2*z**2/7 - 3*z. Factor q(i).
4*(i + 1)*(5*i + 1)/7
Let a(q) be the third derivative of 4*q**2 - 1/112*q**8 + 1/35*q**7 + 0*q - 1/10*q**5 + 0 + 0*q**3 + 1/8*q**4 + 0*q**6. Let a(c) = 0. What is c?
-1, 0, 1
Suppose -2*z + 12 = 2*z. Suppose 0 = -2*o - z*o + 5. Factor c**3 + c - c**2 - 2*c**3 + o + 0.
-(c - 1)*(c + 1)**2
Let y(m) be the first derivative of m**3/12 - m**2/2 + 3*m/4 - 4. Find t, given that y(t) = 0.
1, 3
Let c = -17 - -16. Let y(w) = -18*w**3 - 28*w**2 - 6*w + 12. Let h(u) = u**2 - u + 1. Let q(j) = c*y(j) + 8*h(j). Determine k, given that q(k) = 0.
-2, -1/3, 1/3
Suppose -4*d = 5*q + 23 - 6, 4*q + 14 = -3*d. Let 2*g**2 - g + 0*g**2 - g**2 - d = 0. What is g?
-1, 2
Let x(t) = -t**4 - t**3 - 2*t**2 - 2. Let l(z) = -z**3 + 1. Let m(u) = 2*l(u) + x(u). Find i, given that m(i) = 0.
-2, -1, 0
Suppose 0 = -2*z + 19 - 7. Let x(r) be the second derivative of -1/90*r**z + 1/30*r**5 - 1/6*r**2 - 1/126*r**7 - 1/18*r**3 + 1/18*r**4 + 2*r + 0. Factor x(w).
-(w - 1)**2*(w + 1)**3/3
Find b, given that 2*b + 9 + 2 - 12 - b**2 = 0.
1
Solve -2/5*c**2 + 0*c**3 + 2/5*c**4 + 0*c + 0 = 0 for c.
-1, 0, 1
Let w(k) be the first derivative of 0*k - 27/25*k**5 + 5 + 9/20*k**4 - 6/5*k**2 + 8/5*k**3. Factor w(r).
-3*r*(r + 1)*(3*r - 2)**2/5
Let z(r) be the first derivative of -3*r**5/10 - 3*r**4/8 + r**3 + 5. Factor z(o).
-3*o**2*(o - 1)*(o + 2)/2
Let 18/5 - 6/5*c**4 + 4*c**2 + 42/5*c + 2/5*c**5 - 12/5*c**3 = 0. What is c?
-1, 3
Let z(p) = -p - 6. Let l be z(-2). Let u = l + 22/5. Determine y, given that -2/5*y**3 + 0*y + u*y**2 + 0 = 0.
0, 1
Determine q, given that -6*q**3 + 0*q + 2/3*q**2 - 32/3*q**5 + 0 + 16*q**4 = 0.
0, 1/4, 1
Let n(w) be the first derivative of w**6/39 + 4*w**5/65 + w**4/26 + 4. Factor n(c).
2*c**3*(c + 1)**2/13
Let d(b) be the third derivative of -2*b**7/315 + b**6/90 + b**5/45 - b**4/18 - 10*b**2. Let d(k) = 0. Calculate k.
-1, 0, 1
Suppose 0 = 2*o + 2*f + 6, -f = -4*o + 10 + 3. Solve 4/9 - 10/9*h - 2/9*h**3 + 8/9*h**o = 0 for h.
1, 2
Find u such that 0 + u + 1/2*u**3 - 3/2*u**2 = 0.
0, 1, 2
Let o = 54 + -38. Let -14*v**2 - o*v + 8 + 7*v - 15*v = 0. What is v?
-2, 2/7
Suppose 0 - 16/3*l - 4/3*l**2 = 0. Calculate l.
-4, 0
Let i(p) be the third derivative of -2*p**7/105 + p**6/5 - 8*p**5/15 - p**4 + 6*p**3 - 23*p**2. Factor i(j).
-4*(j - 3)**2*(j - 1)*(j + 1)
Find i, given that -9*i + 2*i**2 + 5*i**3 + 18*i**2 - 16*i = 0.
-5, 0, 1
Let c(a) = a**2 + 7*a - 8. Let r be c(-8). Suppose w + r*w = 3. Find m, given that -m**3 - m**4 + 2*m**4 - 11*m**4 - 3*m**w - 4*m**5 = 0.
-2, -1/2, 0
Let q = -1 + -2. Let t = -1 - q. Factor 4*z**2 + 1/4 - t*z.
(4*z - 1)**2/4
Let c(r) be the second derivative of -r**6/40 + r**5/80 + r**4/24 + 35*r. Factor c(n).
-n**2*(n - 1)*(3*n + 2)/4
Let l(a) be the third derivative of 0 + 0*a + 6*a**2 + 1/3*a**4 - 2/3*a**3 - 1/15*a**5. What is y in l(y) = 0?
1
Factor 15*s**2 - 106*s + 6*s**3 + 106*s - s**3 - 20.
5*(s - 1)*(s + 2)**2
Let v(k) be the third derivative of -k**7/5040 + k**6/480 - k**5/120 - k**4/8 + 3*k**2. Let z(y) be the second derivative of v(y). Find o such that z(o) = 0.
1, 2
Let g be (-4)/(-12)*(3 + -4 - -3). Let c(u) be the third derivative of 1/12*u**5 + 0*u + 0 - 1/2*u**4 - 2*u**2 + g*u**3. Factor c(f).
(f - 2)*(5*f - 2)
Let s(p) be the first derivative of p**7/840 + p**6/240 - p**5/240 - p**4/48 - 2*p**2 + 5. Let t(o) be the second derivative of s(o). Factor t(m).
m*(m - 1)*(m + 1)*(m + 2)/4
Let t be -4*-3*(-3)/12. Let w = -1 - t. What is r in 2*r**2 - 2*r**2 + 2*r**w = 0?
0
Let s(x) be the second derivative of -x**6/90 - x**5/30 + x**3/9 + x**2/6 - 10*x. Let s(d) = 0. What is d?
-1, 1
What is j in 1/3*j**5 + 0 - 1/3*j + 2/3*j**4 - 2/3*j**2 + 0*j**3 = 0?
-1, 0, 1
Suppose 15*g + 21 - 81 = 0. Let 0*q**2 + 2/11*q**g + 0*q + 0 - 2/11*q**3 = 0. What is q?
0, 1
Determine k so that 8/7*k**3 - 4/7*k**2 + 4/7*k**4 + 0 - 8/7*k = 0.
-2, -1, 0, 1
Let x(r) be the first derivative of -r**6/1260 + r**5/70 - 3*r**4/28 + r**3 + 2. Let a(n) be the third derivative of x(n). Fact