4*q + 2 - q**2 - 3*q - f*q = 0. Calculate q.
-2, 1
Suppose 0 = -2*f + 4*f - 5*a + 15, -2*f = -a - 5. Suppose 2*o + 3*o**2 - o**2 - 5*o**2 + f*o**2 = 0. Calculate o.
-1, 0
Let b = -7 - -7. Suppose -3*k = -6, 16 = 2*q + 3*k - b. Factor 0*o**2 + 0*o + 0*o**3 - 2/3*o**q + 0 + 2/3*o**4.
-2*o**4*(o - 1)/3
Let n = 364 - 364. Factor -3/2*h**4 + n + 3/2*h**3 + 0*h + 0*h**2.
-3*h**3*(h - 1)/2
Let g(k) be the second derivative of k**5/80 - k**4/48 - k - 26. Let g(i) = 0. Calculate i.
0, 1
What is x in 1/2*x + 3/4*x**4 + 7/4*x**2 + 0 + 2*x**3 = 0?
-1, -2/3, 0
Factor 0 + 0*l - 1/3*l**3 + 2/3*l**2.
-l**2*(l - 2)/3
Let w(d) be the third derivative of -d**6/900 + d**3/2 + 4*d**2. Let v(p) be the first derivative of w(p). What is g in v(g) = 0?
0
Let u(j) = 3*j**2 - j - 2. Let l be u(-1). Let f(c) be the first derivative of 0*c**l + 2*c**4 + 0*c - 8/3*c**3 - 2/5*c**5 - 2. Let f(y) = 0. Calculate y.
0, 2
Let b(f) be the second derivative of -f**9/37800 + f**8/16800 + f**7/6300 - f**6/1800 + f**4/4 + 3*f. Let l(q) be the third derivative of b(q). Factor l(s).
-2*s*(s - 1)**2*(s + 1)/5
Let r be (25/(-20) - -2) + (-1)/4. Determine n so that -r*n + 0 + 1/2*n**2 = 0.
0, 1
Let d(p) = 3*p**5 - 32*p**4 + 53*p**3 - 32*p**2 + 8*p + 5. Let j(h) = 4*h**5 - 48*h**4 + 80*h**3 - 48*h**2 + 12*h + 8. Let u(r) = -8*d(r) + 5*j(r). Factor u(z).
-4*z*(z - 1)**4
Suppose -j = 2*u + 4, -u + 4*j = -4*u - 6. Let o = 0 - u. Factor 12*h**2 - 8*h - 2*h**4 + o + 0 + 4*h**4 - 8*h**3.
2*(h - 1)**4
Let c(m) be the first derivative of 7*m**5/30 + m**4/9 - 7*m**3/9 - 2*m**2/3 - m - 4. Let q(s) be the first derivative of c(s). Factor q(x).
2*(x - 1)*(x + 1)*(7*x + 2)/3
Let m(c) be the second derivative of -c**6/180 - c**5/15 - 7*c**4/24 - 11*c**3/18 - 2*c**2/3 + 6*c. Determine j, given that m(j) = 0.
-4, -2, -1
Let f(c) be the second derivative of 0*c**3 + 0 + 5/84*c**7 + 3*c + 0*c**2 + 2/15*c**6 - 1/12*c**4 + 1/40*c**5. Determine g so that f(g) = 0.
-1, 0, 2/5
Determine r so that 2/5*r**3 + 0 - 2/5*r**2 - 4/5*r = 0.
-1, 0, 2
Let r be -51*11/(-27)*-3. Let i = r + 63. Factor 2/3*n**5 + 0*n**2 + 0*n**4 - i*n**3 + 0 + 0*n.
2*n**3*(n - 1)*(n + 1)/3
Let w(z) = 2*z - 3*z + 13 + 2 - 3. Let u be w(10). Determine v, given that 2/3*v + 0 + 2/3*v**u = 0.
-1, 0
Let p(y) = -y**3 - y. Let m(q) = -3*q**3 - 18*q**2 + 4*q + 8. Let g(l) = -3*m(l) + 24*p(l). Suppose g(v) = 0. Calculate v.
-2/5, 2
Let q(m) be the first derivative of -7*m**3/12 - 11*m**2/2 - 3*m + 29. Factor q(u).
-(u + 6)*(7*u + 2)/4
Let h(g) = -2*g**4 + 9*g**3 + 6*g**2 - 10*g + 4. Let i(k) = -k**3. Let l(j) = 2*h(j) + 14*i(j). Factor l(o).
-4*(o - 1)**3*(o + 2)
Let p(n) be the first derivative of -1/18*n**4 + 2/45*n**5 + 2 - 2/9*n**3 + 1/9*n**2 + 4/9*n. Factor p(d).
2*(d - 2)*(d - 1)*(d + 1)**2/9
Let n(b) be the first derivative of b**3/3 + 2*b**2 + 4*b - 5. Factor n(p).
(p + 2)**2
Let c = 0 - -3. Factor y**5 - 3*y**5 - 2*y**4 - 4*y**4 - 2*y**2 + c*y**3 - 9*y**3.
-2*y**2*(y + 1)**3
Let t(b) be the third derivative of b**7/6300 + b**6/900 + b**5/300 + b**4/8 - 9*b**2. Let m(h) be the second derivative of t(h). Factor m(n).
2*(n + 1)**2/5
Let d = -45/7 + 149/21. Suppose -12 = -0*r - 3*r. Factor -2/3*u**r + d*u**2 + 0 - 2/3*u + 2/3*u**3.
-2*u*(u - 1)**2*(u + 1)/3
Let x be 48/(-12) - 2*-3. Let n(w) be the second derivative of 3*w + 0*w**5 - 1/6*w**4 + 1/2*w**x + 0*w**3 + 0 + 1/30*w**6. Factor n(h).
(h - 1)**2*(h + 1)**2
Let v(r) be the first derivative of -r**7/84 - r**6/60 + r**5/40 + r**4/24 + 3*r - 1. Let d(l) be the first derivative of v(l). What is g in d(g) = 0?
-1, 0, 1
Let l(d) be the third derivative of -d**7/350 + 3*d**6/100 - 13*d**5/100 + 3*d**4/10 - 2*d**3/5 - 13*d**2. Factor l(o).
-3*(o - 2)**2*(o - 1)**2/5
Let t(n) = 2*n**2 + 3*n. Let g be t(-2). Suppose g*k = -4, 2*k - 2 = -5*b + 9. Suppose -10/7*h**b + 4/7 - 18/7*h + 24/7*h**2 = 0. What is h?
2/5, 1
Solve 35/3*r**3 - 20/3 - 5/3*r**2 + 25/3*r**4 + 5/3*r**5 - 40/3*r = 0.
-2, -1, 1
Factor 2/15 - 2/15*y**4 + 4/15*y**3 - 4/15*y + 0*y**2.
-2*(y - 1)**3*(y + 1)/15
Let c(m) = -m**3 - 9*m**2 + 10*m. Let h be c(-10). Let p(u) be the first derivative of 0*u**2 + 0*u**3 - 1/14*u**4 + 1 + h*u. Suppose p(k) = 0. What is k?
0
Find i, given that 0 - 2/5*i + 12/5*i**2 - 18/5*i**3 + 8/5*i**4 = 0.
0, 1/4, 1
Let d(o) be the third derivative of 0 - 4*o**2 + 1/24*o**4 + 1/30*o**5 - 1/6*o**3 + 0*o. Let d(p) = 0. Calculate p.
-1, 1/2
Let d = 26 + -21. Suppose 16 - 21 = -d*i. Factor 3/2*u - i + 5/2*u**2.
(u + 1)*(5*u - 2)/2
Let p(k) be the third derivative of 0*k**5 + 0 + 0*k - 1/540*k**6 + 1/36*k**4 + 2*k**2 - 1/3*k**3. Let z(x) be the first derivative of p(x). Solve z(n) = 0.
-1, 1
Let g(l) be the second derivative of -l**6/40 - 3*l**5/20 + 5*l**4/16 + 2*l - 7. Factor g(o).
-3*o**2*(o - 1)*(o + 5)/4
Let w(i) be the third derivative of i**6/60 - 7*i**5/30 + i**4/2 - 75*i**2. What is t in w(t) = 0?
0, 1, 6
Let b(q) = -q**3 + 2*q**2 + 2*q + 2. Let w be b(3). Let u be -2*(2 - w)/(-3). Solve -1/4 + 0*n + 1/4*n**u = 0 for n.
-1, 1
Let x(i) = -i**5 + i + 1. Let b(t) = -3*t**5 + 10*t**3 + 6*t + 4 - 13*t**5 - 18*t**4 + 18*t**2 - 2. Let j(a) = b(a) - 2*x(a). Find q, given that j(q) = 0.
-1, -2/7, 0, 1
Let g = -270 - -817/3. Suppose 0 = -2*o - 0*o + 8. Suppose 9*b**2 + g*b**o - 4/3*b - 26/3*b**3 - 4/3 = 0. What is b?
-2/7, 1, 2
Let d(y) be the second derivative of 1/72*y**4 + 0 + y + 0*y**2 - 1/36*y**3. Suppose d(c) = 0. Calculate c.
0, 1
Let o(x) be the first derivative of -x**5/25 + x**4/20 + x**3/15 - x**2/10 - 3. Factor o(d).
-d*(d - 1)**2*(d + 1)/5
Let d(g) be the second derivative of 0*g**3 + 0*g**2 + 1/90*g**6 + g + 1/30*g**5 + 1/36*g**4 + 0. Find o such that d(o) = 0.
-1, 0
Let q(s) be the second derivative of -s**7/56 + s**6/5 - 33*s**5/40 + 7*s**4/4 - 17*s**3/8 + 3*s**2/2 - 34*s. Factor q(g).
-3*(g - 4)*(g - 1)**4/4
Let m(c) be the second derivative of c**5/4 - c. Factor m(g).
5*g**3
Let f = 102/25 + -1072/275. Factor -f*l**2 + 0*l + 0 - 2/11*l**3.
-2*l**2*(l + 1)/11
Let h(o) = -20*o**2 + 44*o + 40. Let w(i) = 13*i**2 - 29*i - 27. Let a(s) = -5*h(s) - 8*w(s). Factor a(q).
-4*(q - 4)*(q + 1)
Let h = -12 + 14. Determine q so that 3*q**2 + 8*q + 32*q**2 - 7*q**h - 8 + 12*q = 0.
-1, 2/7
Let j be (-1 - (-3)/4)*(-48)/36. Suppose 5/6*r**3 + 7/6*r + j + 3/2*r**2 + 1/6*r**4 = 0. Calculate r.
-2, -1
Let a(w) be the third derivative of -w**8/168 + w**7/105 + w**6/60 - w**5/30 + 9*w**2. Factor a(g).
-2*g**2*(g - 1)**2*(g + 1)
Let q(f) be the first derivative of f**4/2 + 2*f**3/3 - 5*f**2 + 6*f + 14. Factor q(k).
2*(k - 1)**2*(k + 3)
Let m = 1/27 - -103/135. Factor -2*k**4 - m*k**5 + 0 + 2/5*k + 2/5*k**2 - 6/5*k**3.
-2*k*(k + 1)**3*(2*k - 1)/5
Suppose -8 = -13*l + 15*l, -l - 4 = -2*q. Factor 0*d + 1/5*d**2 + q.
d**2/5
Let s(z) = 4*z**2 - 2 - 2*z + 2*z. Let c(a) = 9*a**2 - 4. Suppose -3*b + 3 = -3. Let f(i) = b*c(i) - 5*s(i). Factor f(w).
-2*(w - 1)*(w + 1)
Let t(j) = -j**3 + j**2 + j. Let w be t(0). Let c be (16/4)/(-56)*-4. Let c*i**3 + w + 2/7*i**4 - 2/7*i - 2/7*i**2 = 0. Calculate i.
-1, 0, 1
Let u(w) be the second derivative of w**5/20 - w**4/5 - 71*w**3/30 + 3*w**2 - w - 2. Suppose u(d) = 0. What is d?
-3, 2/5, 5
Let r = -30 + 18. Let x be 7/4 + (-3)/r. Determine f, given that -1 - x*f**2 - 1/2*f**3 - 5/2*f = 0.
-2, -1
Let f = -55 - -28. Let r be (-36)/f - 1/1. Factor 0 + 0*w**2 + r*w**3 + 0*w.
w**3/3
Let s(t) = t**2 - 5*t + 6. Let i be s(4). Suppose -7 = -c - 3. Factor -27/4*l**3 + 7*l - 27/4*l**c + 9/2*l**2 + i.
-(l - 1)*(3*l + 2)**3/4
Let z(r) = r + 1. Suppose -5*t - 7 = 2*p, 0*t + 2 = 3*p - 5*t. Let b be z(p). Let 2/7*o**5 + b*o**2 - 2/7*o**4 + 0*o + 0*o**3 + 0 = 0. Calculate o.
0, 1
Let u(z) = -4*z - 3*z**3 - 2 + 8 + 9*z. Let t(s) = -s**3 - s**2 + 1. Let b(a) = -4*t(a) + u(a). Factor b(l).
(l + 1)**2*(l + 2)
Suppose -199*k + 12 = -196*k. Factor -1/2*c**3 + 1/4*c**k + 0 + 1/4*c**2 + 0*c.
c**2*(c - 1)**2/4
Let b(a) be the second derivative of -a**4/12 - 3*a**3/2 - 4*a**2 + 11*a. Let w be b(-8). Let 0*y**2 - 2/11*y**3 + 2/11*y + w = 0. What is y?
-1, 0, 1
Let j(h) = -h**3 + h**2 + 1. Suppose 4 = -4*r + 2*r. Let m(w) = -w**4 - 2*w**3 + 5*w**2 - 2*w + 2. Let z(p) = r*j(p) + m(p). Find d, given that z(d) = 0.
-2, 0, 1
Let d(k) = -k**3 + 4*k**2 + 24*k. Let y(j) = 5*j**2 + 25*j. Let w(f) = -5*d(f) + 4*y(f). Factor 