e -2*q + 2 = -2. Suppose q = 4*u - 3*u. Determine c so that 0*c**2 - c**4 + 3*c**4 - 10*c**3 + 2 + 3*c**5 - c - 12*c**u = 0.
-1, 1/3, 2
Let l be 5*(-2)/(-4) + 13/26. Let o(a) be the first derivative of -4*a + 1 - 2/3*a**l + 3*a**2. Find w such that o(w) = 0.
1, 2
Let p(n) be the first derivative of -5*n**4/24 + 5*n**3/6 - 10*n/3 + 12. Determine y, given that p(y) = 0.
-1, 2
Factor -10/7*i**4 + 8*i**3 + 32/7*i + 32/7 - 96/7*i**2.
-2*(i - 2)**3*(5*i + 2)/7
Let d(y) = y**2 - 8*y + 17. Let c be d(5). Factor 0 + 0*b + 3/5*b**3 + 3/5*b**c.
3*b**2*(b + 1)/5
Let s(g) be the first derivative of -g**6/1080 + g**5/120 + 4*g**3/3 + 6. Let m(p) be the third derivative of s(p). Suppose m(x) = 0. What is x?
0, 3
Let s(y) be the first derivative of 1/2*y**2 - 5/9*y**3 + 1/12*y**4 + 3 + 3*y. Factor s(b).
(b - 3)**2*(b + 1)/3
Factor 392/9 + 56/9*a + 2/9*a**2.
2*(a + 14)**2/9
Let u(a) = a + 6. Suppose 30 = -2*t - 3*t. Let b be u(t). Factor 2*m**2 + 0*m**2 + b*m**4 - m**4 - 1 + 0*m**4.
-(m - 1)**2*(m + 1)**2
Let b(m) be the second derivative of -11*m**4/6 - 13*m**3/3 - 3*m**2 - 4*m. Let w(s) = -23*s**2 - 25*s - 5. Let v(j) = 3*b(j) - 2*w(j). What is u in v(u) = 0?
-1, -2/5
Let w = 12/19 + -22/95. Factor 0 - w*g**4 + 2/5*g**2 + 0*g + 0*g**3.
-2*g**2*(g - 1)*(g + 1)/5
Suppose -21*j + 5 = -17*j - 5*o, 3*j - o = 1. Factor 3/2*t**3 - 3/4*t - 3/4*t**5 + 0*t**2 + j + 0*t**4.
-3*t*(t - 1)**2*(t + 1)**2/4
Suppose 6 = 2*c + 2*v, -5*c - 2*v + 24 = -0*v. Let k be (0 - -1)*(6 - c). Determine u so that 1/4*u**2 + k*u - 1/4 = 0.
-1, 1
Let f(y) be the second derivative of -y**10/90720 + y**8/10080 - y**6/2160 - y**4/6 + 3*y. Let z(w) be the third derivative of f(w). Solve z(u) = 0 for u.
-1, 0, 1
Let v be 1*0/(4 + -1). Factor -2 + 0 + v - 2*q - 2*q**2 - 2*q.
-2*(q + 1)**2
Let k(m) = -2*m**3 + 2*m**2 + 2*m + 1. Let z be k(-1). Let c be z + (-1 + 1)*-1. Factor 2*r**4 + 4*r**3 - 2*r**2 - r**5 - c*r - 2*r**4 + 2.
-(r - 1)**3*(r + 1)*(r + 2)
Let c(r) be the first derivative of 2*r**3/39 - 2*r**2/13 - 6*r/13 + 6. Let c(t) = 0. What is t?
-1, 3
Suppose -8*d + 2*i - 8 = -11*d, -3*i = -d - 1. Solve -33/4*b + 3 - 9/4*b**d = 0 for b.
-4, 1/3
Factor 6 - 3*o + 3*o**3 + 3*o**2 - 9 + 0.
3*(o - 1)*(o + 1)**2
Let x be 3 + -3 + 4/8. Find k such that 1/4 - x*k**3 + 1/4*k + 1/4*k**4 + 1/4*k**5 - 1/2*k**2 = 0.
-1, 1
Let u(a) be the third derivative of a**8/1176 - 4*a**7/735 + a**6/105 - 5*a**2. Factor u(g).
2*g**3*(g - 2)**2/7
Suppose k = 4*f + 3, 2*f + 4*k - 12 = -0*f. Suppose 0*y**2 - 1/3*y**3 + 0*y + f = 0. What is y?
0
Let q be (12/198)/((-6)/(-18)). Factor -2/11*b**2 + 0*b**3 + q*b**4 + 0 + 0*b.
2*b**2*(b - 1)*(b + 1)/11
Determine w, given that 3*w**2 + 5*w + 1 + 2 + 6 - 3*w**3 + 10*w = 0.
-1, 3
Suppose 0 - 4 = 2*o. Let k be ((-1)/o)/((-5)/(-40)). Factor -3*y**k + 19*y**3 - 18*y**3 + 2*y**4 + 0*y**4.
-y**3*(y - 1)
Solve 207/5*q**3 + 81*q**4 - 282/5*q**2 + 24/5 - 12*q = 0.
-1, -2/5, 2/9, 2/3
Let r be 0 - -8*3/6. Let i(v) be the first derivative of 2/5*v**5 - v**2 - 2 + 0*v + 1/2*v**r - 2/3*v**3. Solve i(l) = 0.
-1, 0, 1
Let t(w) be the third derivative of w**7/490 + w**6/280 - 3*w**5/140 - 5*w**4/56 - w**3/7 + 3*w**2. Factor t(d).
3*(d - 2)*(d + 1)**3/7
Let g = 335/4 + -83. Let -3/4*f**5 - g*f**2 + 3/4*f**4 + 3/4*f**3 + 0*f + 0 = 0. What is f?
-1, 0, 1
Let l(d) be the first derivative of 5 + 0*d**2 + d - 1/3*d**3. Find c such that l(c) = 0.
-1, 1
Let v(n) = -n**4 - n**3 + n + 1. Let a(g) = -14*g**4 + 25*g**3 - 27*g**2 + 11*g + 5. Let r(l) = a(l) - 5*v(l). Find s, given that r(s) = 0.
0, 1/3, 1, 2
Let b(h) = 8*h**2 + 68*h. Let p(j) = -3*j**2 - 27*j. Let n(f) = -5*b(f) - 12*p(f). Factor n(a).
-4*a*(a + 4)
Let g be ((-370)/(-8))/(5/(-60)). Let y = g + 2784/5. Suppose 27/5*c**3 + 1/5 + 27/5*c**2 + y*c = 0. Calculate c.
-1/3
Let a(f) be the second derivative of -f**6/255 + 3*f**5/85 - 13*f**4/102 + 4*f**3/17 - 4*f**2/17 - 22*f. Factor a(m).
-2*(m - 2)**2*(m - 1)**2/17
Let p(j) be the third derivative of -j**6/150 + j**5/30 + j**4/15 - j**3/5 - 22*j**2. Determine x, given that p(x) = 0.
-1, 1/2, 3
Let i(x) = 4*x**3 + 4*x**2 - x - 4. Let a(w) = 4*w**3 + 4*w**2 - 2*w - 4. Let j(s) = -3*a(s) + 2*i(s). Factor j(f).
-4*(f - 1)*(f + 1)**2
Let d(u) = u**2 - 10*u - 9. Suppose -5*z + 76 = 21. Let l be d(z). Find o, given that 2/3*o**l - 4/3 + 2/3*o = 0.
-2, 1
Suppose 0 = 7*d - 3*d - 8. Let b be (0 + 8/20)/2. Let 0 - 1/5*j**d - b*j = 0. What is j?
-1, 0
Let k be 4 + -1 + (-8 - -7). Let g(a) be the first derivative of 1/2*a**3 - 1/8*a**4 + 1/2*a - 4 - 3/4*a**k. Solve g(h) = 0.
1
Let b(a) be the second derivative of a**4/12 - a**3/2 - a. Factor b(d).
d*(d - 3)
Factor -26/3*s + 2*s**2 - 20/3.
2*(s - 5)*(3*s + 2)/3
Let r(n) = n**3 - 12*n**2 - 12*n - 11. Let q be r(13). Find j such that -2/3 - j - 1/3*j**q = 0.
-2, -1
Determine h so that 2 + 160*h**2 - 163*h**2 + 4 - 3*h = 0.
-2, 1
Suppose -r = -3*r + r. Let 4/3*k**4 - 2/3*k**5 + r + 0*k**3 + 2/3*k - 4/3*k**2 = 0. Calculate k.
-1, 0, 1
Let n = 2 - 0. Factor 2 + 3 - 2*y**5 - 4*y**2 + 4*y**3 + n*y**4 - 2*y - 6 + 3.
-2*(y - 1)**3*(y + 1)**2
Let m(h) be the first derivative of -h**6/2 + 12*h**5/5 - 3*h**4 + 11. Determine p, given that m(p) = 0.
0, 2
Let m(o) be the first derivative of o**6/18 + 2*o**5/5 + 11*o**4/12 + 2*o**3/9 - 2*o**2 - 8*o/3 - 22. Factor m(x).
(x - 1)*(x + 1)*(x + 2)**3/3
Let l be ((-2)/(-14))/((-4)/70*-5). Let n(i) be the first derivative of i**2 - l*i**4 - 2 + 2/3*i**3 - 2*i. Factor n(k).
-2*(k - 1)**2*(k + 1)
Let k(r) = -r**2 + 9*r. Let c(v) = v + v + 2*v - 2*v. Let p(o) = 9*c(o) - 2*k(o). Factor p(b).
2*b**2
Let n be 44/10 + (-6)/15. Let u = 8 - 4. Factor z**3 + 3*z**u + 0*z**4 - 2*z**n.
z**3*(z + 1)
Let l(n) be the third derivative of n**7/105 - n**6/24 + n**5/30 + n**3/2 + n**2. Let h(c) = -c**4 + c**3 - c**2 - 1. Let p(b) = 3*h(b) + l(b). Factor p(z).
-z**2*(z + 1)**2
Suppose 5*t - 25 = -0*t. Suppose -4*i + 11 + t = 0. Factor 2/5*a**3 - 2/5*a**i + 0 + 0*a**2 + 0*a.
-2*a**3*(a - 1)/5
Let h = -1519/3 + 512. Let s = h + 5/6. What is z in 3*z**3 + 6*z - 2 - 1/2*z**4 - s*z**2 = 0?
1, 2
Let k(p) be the second derivative of 0 + 1/6*p**4 - 3/20*p**5 + 3*p + 2/45*p**6 - 1/18*p**3 + 0*p**2. Factor k(i).
i*(i - 1)**2*(4*i - 1)/3
Suppose -7*h - 12 = -3*h, 2*c - 2*h = 42. Let y = -15 + c. Find k such that 0 + 1/3*k**4 + 0*k + 0*k**2 + 0*k**y = 0.
0
Let o be ((-4)/9)/((-116)/87). Factor o + 1/3*w**5 + 2/3*w**3 - w**4 - w + 2/3*w**2.
(w - 1)**4*(w + 1)/3
Let a(c) = c**3 + 5*c**2 - 7*c. Let k be a(-6). Suppose b + 30 = k*b. Determine v so that b*v**2 - 14/3*v - 4/3 = 0.
-2/9, 1
Let a(m) = 3*m**5 + 11*m**4 - 5*m**3 - 8*m**2. Let d(f) = 2*f**5 + 6*f**4 - 3*f**3 - 4*f**2. Let j(g) = -3*a(g) + 5*d(g). Factor j(z).
z**2*(z - 2)**2*(z + 1)
Let g(c) be the first derivative of -2/7*c - 2 + 4/21*c**3 + 0*c**2 + 0*c**4 - 2/35*c**5. Factor g(x).
-2*(x - 1)**2*(x + 1)**2/7
Let d be -2 + 3 + (-5630)/14. Let h = 402 + d. Suppose 6/7*u**2 + h*u**3 + 2/7*u + 0 + 2/7*u**4 = 0. What is u?
-1, 0
Let v(s) be the third derivative of -s**7/630 + s**6/90 - s**5/30 + s**4/18 - s**3/18 + 7*s**2. Let v(h) = 0. What is h?
1
Let c(w) be the third derivative of -w**6/480 + w**5/120 + 5*w**4/96 - w**3/4 + 6*w**2. Let c(k) = 0. What is k?
-2, 1, 3
Suppose 0*f + 1/8*f**2 + 0 + 1/8*f**3 = 0. What is f?
-1, 0
Let j(s) = -4*s**4 - 3*s**3 - 2*s**2 + 6*s + 6. Let g(a) = -4*a**4 - 4*a**3 - 2*a**2 + 5*a + 5. Let m(u) = 6*g(u) - 5*j(u). Suppose m(n) = 0. What is n?
-2, -1/4, 0
Factor 0 - 2*v**3 + 0*v - 8/3*v**2 + 2/3*v**4.
2*v**2*(v - 4)*(v + 1)/3
Let o(r) be the first derivative of 2*r**6/9 + 4*r**5/15 - r**4/3 - 4*r**3/9 + 7. Factor o(x).
4*x**2*(x - 1)*(x + 1)**2/3
Factor 0*b + 0*b**2 + 12/7*b**4 - 4/7*b**5 - 8/7*b**3 + 0.
-4*b**3*(b - 2)*(b - 1)/7
Let s be -2 + (-12)/(-10) - (-145)/150. Suppose 0*y + 0*y**3 + s*y**4 - 1/6*y**2 + 0 = 0. What is y?
-1, 0, 1
Suppose 2 + 6 = 4*i + 2*k, -i = 2*k - 8. Let o = 2180/9 - 242. Factor 2/9*c**5 + i*c - 2/9*c**2 + 0 - 2/9*c**3 + o*c**4.
2*c**2*(c - 1)*(c + 1)**2/9
Factor -2*x**2 + 12*x**2 - 10*x - 3*x**3 - 11*x + 5*x**2 + 9.
-3*(x - 3)*(x - 1)**2
Let u be (-36)/(-3)*(-7)/(-63). Factor -2/3 + u*x - 2/3*x**2.
-2*(x - 1)**2/3
Let i be ((-8)/56)/((-120)/14). Let l(u) be the third derivative of -i*u**4 - 1/300*u**6 + 1/75*u**5 + 0 + 2*u**2 + 0*u + 0*u**3. So