f -1/180*q**5 + 0*q**3 + 1/72*q**4 + 0 + 0*q - q**2. Factor u(w).
-w*(w - 1)/3
Let q be (4/20)/(3/6). Factor -6/5*k - 4/5*k**2 - q.
-2*(k + 1)*(2*k + 1)/5
Let q = -6 + 10. Suppose q*j - 6 = j. Solve 2 + f - 4*f**3 + 6*f**2 + 4*f**3 - 7*f - j*f**3 = 0.
1
Let f(d) be the third derivative of d**8/1680 - d**6/180 + d**4/24 + d**3/3 - d**2. Let b(h) be the first derivative of f(h). What is t in b(t) = 0?
-1, 1
Let o(p) be the first derivative of -p**5/5 + p**4/2 - p**2 + p + 6. Suppose o(l) = 0. What is l?
-1, 1
Let x(o) be the second derivative of o + 4/45*o**6 + 1/9*o**3 + 0 + 4/15*o**5 + 5/18*o**4 + 0*o**2. Let x(l) = 0. What is l?
-1, -1/2, 0
Let d(w) be the first derivative of 7/6*w**3 - 1/4*w**2 + 0*w + 9/10*w**5 - 1 - 15/8*w**4. Find y, given that d(y) = 0.
0, 1/3, 1
Let f(c) be the second derivative of -c**6/30 - 3*c**5/20 - c**4/6 - 28*c. Solve f(v) = 0 for v.
-2, -1, 0
Let a = 9709/15 - 647. Let b(f) be the second derivative of 0*f**3 - 2*f + 0*f**2 - 1/18*f**4 - a*f**6 + 0 - 8/63*f**7 - 1/5*f**5. Factor b(g).
-2*g**2*(2*g + 1)**3/3
Let c(l) be the third derivative of -l**5/15 - l**4/2 - 4*l**3/3 - 4*l**2. Determine m, given that c(m) = 0.
-2, -1
Let c(h) = -h**4 + h**2 + 2*h + 2. Let j(a) = 4*a**4 - 4*a**2 - 11*a - 11. Let u(r) = 11*c(r) + 2*j(r). Factor u(v).
-3*v**2*(v - 1)*(v + 1)
Let n(v) be the first derivative of -v**5/15 - 4*v**4/3 - 32*v**3/3 - 2*v**2 - 1. Let c(t) be the second derivative of n(t). Factor c(o).
-4*(o + 4)**2
Let n(g) = -g**3 + 30*g**2 + 9*g. Let m(w) = -4*w**2 - 3*w**2 - 2*w + 0*w + w**2. Let s(h) = 11*m(h) + 2*n(h). Suppose s(c) = 0. What is c?
-2, -1, 0
Let s(v) be the first derivative of v**6/18 - 4*v**5/15 + v**4/3 + 2*v**3/9 - 5*v**2/6 + 2*v/3 - 12. Find p, given that s(p) = 0.
-1, 1, 2
Let t be 8/(-28) - (157/63 + -3). Factor -4/9*q**3 + 0*q**2 + 0*q**4 + 2/9*q**5 + t*q + 0.
2*q*(q - 1)**2*(q + 1)**2/9
Let x = 20 + -18. Factor 3 - 30*i + 0 + 24*i + 3*i**x.
3*(i - 1)**2
Suppose -d + 4 = 0, -5*d = 3*v - 17 - 18. Factor -14 + k**2 - 6*k - 2*k**2 + 0*k + v.
-(k + 3)**2
Let q(x) = -36*x**3 - 24*x**2 - 6*x + 2. Let l(o) = -o + 1. Let m(j) = -2*l(j) + q(j). Let m(a) = 0. What is a?
-1/3, 0
Suppose 0 = -5*s - 106 + 116. Factor -4/5*y - 2/5*y**s + 0.
-2*y*(y + 2)/5
Let s = 4 - -2. Let z(t) be the third derivative of 0*t - 1/120*t**5 + 0*t**3 + 0 + 0*t**4 - 1/420*t**7 + 1/120*t**s + 2*t**2. Find r such that z(r) = 0.
0, 1
Let h be (3/6)/((-2)/(-12)). Let q = 1 + h. Factor -1/3*v - 4/3*v**3 - 2/3 + 10/3*v**2 + 5/3*v**5 - 8/3*v**q.
(v - 1)**3*(v + 1)*(5*v + 2)/3
Let v(w) = -w**3 - 6*w**2 - 3*w - 5. Let r be v(-6). Let s = r - 9. Suppose f**5 - 3*f - 2*f**s + f**2 + 3*f + f**4 - f**3 = 0. What is f?
-1, 0, 1
Let g be (-3)/(-6) - (-7 - -3 - -4). Factor -1/2*q**3 + 0*q**2 + 0 + g*q.
-q*(q - 1)*(q + 1)/2
Let l(r) be the first derivative of r**6/12 + 2*r**5/5 + 3*r**4/4 + 2*r**3/3 + r**2/4 - 12. Factor l(p).
p*(p + 1)**4/2
Let l be -14*3/12*4/(-56). Let u(o) be the first derivative of -1/10*o**5 + l*o**4 + 1/2*o - 1/2*o**2 + 2 + 0*o**3. Suppose u(f) = 0. What is f?
-1, 1
Let w = 5 + -3. Factor -2*j**2 + w*j**3 + 4*j**2 + 2*j - 2*j.
2*j**2*(j + 1)
Let m(j) be the first derivative of 27/16*j**4 + 0*j + 5 + 3/8*j**2 - 5/4*j**3 + 1/4*j**6 - 21/20*j**5. Factor m(h).
3*h*(h - 1)**3*(2*h - 1)/4
Factor -1/3*c**2 + 1 - 2/3*c.
-(c - 1)*(c + 3)/3
Let u(v) be the third derivative of v**5/75 + v**4/10 - 8*v**3/15 - 2*v**2. Suppose u(m) = 0. What is m?
-4, 1
Let 8*u**2 - 10*u**2 - u + 9*u + 0*u - 6 = 0. What is u?
1, 3
Find u such that 0*u - 2/13*u**4 + 54/13 + 16/13*u**3 - 36/13*u**2 = 0.
-1, 3
Let j be (-1*2 - -2)/(1 + 1). Factor -1/3*h**2 - 5/6*h**3 + j*h - 1/2*h**4 + 0.
-h**2*(h + 1)*(3*h + 2)/6
Let x be ((-102)/(-4))/(12/16). Suppose -z = z - x. Let 4*p**2 - z*p**3 + 7*p**3 - 18*p**2 - 4*p = 0. Calculate p.
-1, -2/5, 0
Let z(d) be the second derivative of -d**4/6 + d**3/2 - 5*d**2/2 + 3*d. Let v(u) = -u + 1. Let g(i) = -5*v(i) - z(i). Find h, given that g(h) = 0.
-1, 0
Let n(j) be the second derivative of -j**5/120 - j**4/18 + 3*j. Let n(y) = 0. What is y?
-4, 0
Let o(i) be the third derivative of i**7/30 - 2*i**6/15 + i**5/15 - 9*i**2. Find s, given that o(s) = 0.
0, 2/7, 2
Suppose -q - 5*q = 0. Factor 2/3*c**5 + 0*c**4 + 0*c**2 + q + 2/3*c - 4/3*c**3.
2*c*(c - 1)**2*(c + 1)**2/3
Let k = -3 - 2. Suppose -5*i + 4 + 11 = 0. Let z(j) = -j**2 - j - 4. Let m(q) = -2*q**2 - q - 7. Let a(w) = i*m(w) + k*z(w). Factor a(o).
-(o - 1)**2
Solve -3*j**2 - 1688 + 1688 = 0 for j.
0
Let j = 17/93 + -1/62. Let t(f) be the second derivative of -1/12*f**4 + 0 - j*f**3 + 1/20*f**5 + 1/2*f**2 - f. Factor t(m).
(m - 1)**2*(m + 1)
Let p(u) be the second derivative of u**6/45 - u**5/15 - u**4/6 - 39*u. Solve p(h) = 0 for h.
-1, 0, 3
Let x(m) be the first derivative of m**4/6 - 3. Determine i, given that x(i) = 0.
0
Let l(c) be the third derivative of 1/420*c**7 + 0*c**4 + 0*c**6 + 3*c**2 + 0*c + 0*c**5 + 0*c**3 + 0 - 1/672*c**8. Determine y, given that l(y) = 0.
0, 1
Let l(w) = 5*w**3 + w**2 + w - 1. Let s be l(1). Suppose 4*r = x - s, r - 2 = -x - 1. Solve 0 + 0*v**4 + 0*v**x + 1/2*v - v**3 + 1/2*v**5 = 0 for v.
-1, 0, 1
Suppose 3*n - w - 2*w - 9 = 0, 3*w + 3 = n. Suppose 6 = -d + 2*a, -3*a + n + 6 = 5*d. Factor d + 2/3*j**3 + 4/3*j**2 + 2/3*j.
2*j*(j + 1)**2/3
Let s(b) be the first derivative of 0*b**3 - 6 + 0*b - 4/3*b**2 + 1/2*b**4 - 2/15*b**5. Factor s(c).
-2*c*(c - 2)**2*(c + 1)/3
Let z(t) = t + 1. Let c be z(-4). Let q be (c/18)/(3/(-9)). Find l, given that -2/3*l - 2/3 + 1/3*l**3 - 1/6*l**4 + q*l**2 = 0.
-1, 2
Suppose -y - 4 = -3*y. Let q(v) be the first derivative of 0*v + 0*v**y + 2/27*v**3 - 1. Let q(j) = 0. What is j?
0
Let a(w) be the second derivative of -w**4/42 + w**3/3 - 31*w. Find d such that a(d) = 0.
0, 7
Let j(q) be the first derivative of -q**4/12 + q**3/3 + q - 4. Let s(z) be the first derivative of j(z). Factor s(o).
-o*(o - 2)
Let s(n) be the first derivative of -4 - 8/7*n - 2/21*n**3 - 4/7*n**2. Determine y so that s(y) = 0.
-2
Let r be (-4)/(-240)*-1*-2. Let g(w) be the second derivative of -2/3*w**3 + 3*w - r*w**6 - 1/2*w**2 - 1/2*w**4 + 0 - 1/5*w**5. Factor g(x).
-(x + 1)**4
Factor 0*l**4 - 10*l**2 + 4*l + 3*l**4 + 2*l**4 - 7*l**4 + 8*l**3.
-2*l*(l - 2)*(l - 1)**2
Let h = 64/105 - -2/35. Let z(m) be the first derivative of m**2 + h*m**3 + 1 - 1/2*m**4 - 2*m. Factor z(l).
-2*(l - 1)**2*(l + 1)
Let j = -5 - -10. Factor 5*c**3 - 16*c**5 - 5*c**4 + 17*c**j - 1 - 10*c**2 + 5*c + 5*c**3.
(c - 1)**5
Let l(a) be the second derivative of -2*a**6/15 - 2*a**5/5 + 4*a**3/3 + 2*a**2 - 15*a. Factor l(q).
-4*(q - 1)*(q + 1)**3
Let j be 2 - ((-1)/(-1))/(-1). Let r(d) = -d + 3. Let n be r(0). Factor 2*s**3 + s**2 - n*s**j - 1 + s + 0*s**2.
-(s - 1)**2*(s + 1)
Let n be (6/1)/2 - 0. Factor -2*b**3 + 3*b**3 - 2*b**2 + n*b**2 + 0*b**3.
b**2*(b + 1)
Let g be (3/(-198))/((-2)/8). Let a = 37/66 - g. Let 7/4*k**3 - 7/4*k + a - 1/2*k**2 = 0. Calculate k.
-1, 2/7, 1
Let m = 367/3 - 121. Suppose -1/3*i**2 - m - 4/3*i = 0. What is i?
-2
Suppose 144 = -22*v + 25*v. Find g, given that 118*g**4 + 28*g**3 + v*g**5 - 6*g**2 - 38*g**4 - 4*g**2 + 2*g**2 - 4*g = 0.
-1, -1/2, 0, 1/3
Suppose 4*p - 2*t - 4 = 0, -2*p - t + 6 + 4 = 0. Suppose 3*u + p*g - 12 = 0, 3*u - 7 = -5*g + 13. Suppose -1/2*b + 1/2*b**2 + u = 0. Calculate b.
0, 1
Let p be (-6)/((-27)/(-6)*-7). Let s(r) be the second derivative of 0*r**2 + 0 + p*r**4 + 1/105*r**6 + 4/21*r**3 - 3*r + 1/14*r**5. Factor s(v).
2*v*(v + 1)*(v + 2)**2/7
Let t(q) be the first derivative of -q**4/36 + q**3/27 - 3. Solve t(m) = 0.
0, 1
Let r = -6249/7 - -893. Factor 4/7*y**3 - 2/7*y**4 - r*y - 2/7*y**5 + 4/7*y**2 - 2/7.
-2*(y - 1)**2*(y + 1)**3/7
Let v = -108 - -328/3. Let v*k**2 + 2/3*k**3 + 2/3*k + 0 = 0. Calculate k.
-1, 0
Let q(d) = -d**3 + 16*d**2 + 17*d + 3. Let s be q(17). Let g(k) be the second derivative of k**2 + 0 - 1/6*k**4 + k - 1/3*k**s + 1/10*k**5. Factor g(t).
2*(t - 1)**2*(t + 1)
Let b(n) = 9*n**4 - 6*n**3 + 21*n**2 + 6. Let t(g) = -26*g**4 + 19*g**3 - 62*g**2 + g - 17. Let x(j) = 17*b(j) + 6*t(j). Let x(i) = 0. Calculate i.
0, 1, 2
Let g = 2/627 - -1873/2508. Solve -g*s**2 - 1/2 - 5/4*s + 1/4*s**4 + 1/4*s**3 = 0 for s.
-1, 2
Suppose -6*k = 51 - 3. Let a be (-75)/(-63) - k/56. Factor 0*w**2 - a*w**3 -