= -1. Find v such that -4*v**3 + 3*v**3 - j*v**2 + 2*v - 3*v = 0.
-1, 0
Suppose -6/11*f**2 + 0*f + 2/11 - 4/11*f**3 = 0. Calculate f.
-1, 1/2
Find l such that -2*l + 6*l**2 + 4*l + 0*l**3 - 2*l**2 + 2*l**3 = 0.
-1, 0
Let 3/2*k - 1 + 0*k**2 - 1/2*k**3 = 0. Calculate k.
-2, 1
Let t(r) be the second derivative of 3*r**5/80 - r**3/8 + 8*r. Solve t(s) = 0 for s.
-1, 0, 1
Let y(j) = 25*j. Let n be y(1). Factor -p + 7 + 1 - 14*p**2 + n*p.
-2*(p - 2)*(7*p + 2)
Suppose 4*i - 5 = -3*c + 4*c, c - 2*i + 1 = 0. Suppose -4*f = -3*d + 9, -c*d + 5*d + f - 6 = 0. Factor 0*r**3 + 8*r**4 - 7*r**2 - r**2 + 5*r**3 - d*r**3 - 2*r.
2*r*(r - 1)*(r + 1)*(4*r + 1)
Let c(u) = u**2 - u + 1. Let g(n) = -8*n**2 + 5*n - 8. Let b(x) = 28*c(x) + 4*g(x). Factor b(j).
-4*(j + 1)**2
Let z(r) be the third derivative of 0*r**3 + 0 + 1/60*r**5 + 1/240*r**6 + 0*r + 3*r**2 + 1/48*r**4. Solve z(d) = 0.
-1, 0
Let m(o) be the second derivative of 1/10*o**5 + 5/16*o**4 + 0 + 1/8*o**2 + o - 1/3*o**3 - 2/15*o**6. Let m(h) = 0. Calculate h.
-1, 1/4, 1
Let s(t) be the first derivative of 2*t**3/3 - 2*t**2 - 6*t + 12. Find a such that s(a) = 0.
-1, 3
Let i(m) = m**2 + 20*m + 25. Let h(x) = -21*x - 24. Let y = 5 - 7. Let a(t) = y*h(t) - 3*i(t). Factor a(p).
-3*(p + 3)**2
Let k(m) = m**3 + 2*m**2 - 2*m + 3. Let s be k(-3). Let r be s - 2 - (-8 - -3). What is w in -2*w**4 - 2*w**r + 2*w**3 = 0?
0
Factor -4/5*y**4 + 1/5*y**5 + 0 + 0*y**2 + 0*y + 4/5*y**3.
y**3*(y - 2)**2/5
Let h(b) be the first derivative of 2*b**3/3 + 3*b**2 - 18. Factor h(o).
2*o*(o + 3)
Let f be (-867)/869 + 4/4. Let k = f - -12156/4345. Solve 14/5*a - 4/5 - 4/5*a**4 + 8/5*a**2 + k*a**5 - 28/5*a**3 = 0 for a.
-1, 2/7, 1
Let q(h) be the first derivative of -h**4/8 + h**3/3 - h**2/4 + 6. Solve q(a) = 0.
0, 1
Suppose 4*o + 2*k - 1 - 1 = 0, -o - 2*k - 7 = 0. Factor 2/9*v**2 + 0 + 0*v - 2/9*v**o.
-2*v**2*(v - 1)/9
Let j(u) be the second derivative of -u**4/18 - 3*u. Solve j(i) = 0.
0
Let w = 4 - 0. Determine d, given that 3*d**2 - 4*d**2 - w*d - 4*d - d**4 + 3*d**3 + 2 + 5*d = 0.
-1, 1, 2
Let a(g) be the third derivative of -2*g**7/21 - g**6/24 + 11*g**5/12 - 5*g**4/4 + 26*g**2. Factor a(k).
-5*k*(k - 1)*(k + 2)*(4*k - 3)
Let t(a) = 3*a**2 + 27*a + 78. Let b(q) = 6*q**2 + 53*q + 157. Let l(u) = -3*b(u) + 7*t(u). Factor l(x).
3*(x + 5)**2
Let -3/8*l**2 + 21/8*l + 0 = 0. Calculate l.
0, 7
Let c = 6 - 4. Let -4*f**2 + 11*f**3 + f**3 - 4*f**5 + 2*f**c - 6*f**2 = 0. Calculate f.
-2, 0, 1
Let o = 1 + -1. Let s = 2 + o. Factor -2*r - 10*r**2 - 7*r**4 + 16*r**3 + 4*r - r**s.
-r*(r - 1)**2*(7*r - 2)
Suppose -a = -3*l - 17, 0 = 2*a + 2*l - 2. Factor -n**4 + a*n**2 - 35*n**3 - 6*n**2 + 33*n**3.
-n**2*(n + 1)**2
Determine h so that h**4 + 5*h**3 - 4*h**4 + 6 + 6*h**4 + 21*h + 27*h**2 + 10*h**3 = 0.
-2, -1
Let g(o) = o**3 - 2*o**2 + 4*o + 4. Let z(s) = -s**2 + s + 1. Let b(r) = -g(r) + 4*z(r). Factor b(p).
-p**2*(p + 2)
Suppose 12 = 2*t - 0. Let j(i) be the second derivative of -i + 0*i**2 + 1/12*i**4 - 1/30*i**t - 1/10*i**5 + 0*i**3 + 1/21*i**7 + 0. Solve j(k) = 0.
-1, 0, 1/2, 1
Suppose 5*k - 3*n = -9, 2*k + 14 = -n - 3*n. Let x = k + 7. Let 2*r**4 + r + r + 6*r**2 + x*r**3 + 2*r**3 = 0. What is r?
-1, 0
Let d(k) = 12*k**3 - 16*k**2 + 4*k. Let x(n) = -24*n**3 + 32*n**2 - 8*n. Let j(h) = -5*d(h) - 3*x(h). Find s such that j(s) = 0.
0, 1/3, 1
Find v, given that -4*v - 4*v**2 + 4 + v**2 + 3*v**3 - 3*v**3 + 2*v**3 + v**4 = 0.
-2, 1
Let v be -4*1/(-8) + (-9)/(-6). Factor 1/3 + 0*f - 1/3*f**v.
-(f - 1)*(f + 1)/3
Let d be -10 + (3 - (-28)/4). Factor -1/3*l**2 + 1/3*l + d.
-l*(l - 1)/3
Let o(j) be the third derivative of -j**7/42 + j**6/6 - 5*j**5/12 + 5*j**4/12 - 2*j**2. Factor o(p).
-5*p*(p - 2)*(p - 1)**2
Let x(k) be the second derivative of 7*k**4/20 + 22*k**3/5 + 18*k**2/5 - 5*k. Factor x(m).
3*(m + 6)*(7*m + 2)/5
Let v be (44/5)/(12/40). Let q = -434/15 + v. Factor 2/5*p**3 + 2/5*p**2 + 0 - q*p**4 - 2/5*p.
-2*p*(p - 1)**2*(p + 1)/5
Suppose 4*r + 12 = -0*r. Let m be -2 + 3 + 6 + r. What is k in -2 - 4*k**4 + 4*k**2 + 0*k**4 + 2*k**m + 3*k + 0 - 3*k**3 = 0?
-2, -1, 1/2, 1
Solve -2 - 2*m**2 - 15*m + 12 + 7*m**2 = 0 for m.
1, 2
Let q(b) be the third derivative of b**5/330 - b**4/66 - b**3/11 + 21*b**2. Factor q(z).
2*(z - 3)*(z + 1)/11
Suppose 0 = -3*i - 3*i. Suppose i - 1/4*f - 1/4*f**2 = 0. Calculate f.
-1, 0
Determine g so that 40*g**2 + 2*g**3 - 18*g**2 - 20*g**2 = 0.
-1, 0
Let q(r) be the second derivative of 2/3*r**2 + 1/36*r**4 + 6*r + 0 + 2/9*r**3. Factor q(u).
(u + 2)**2/3
Let g(z) = -z - 2. Let o be g(-6). Factor -4*a - a**3 + o*a + 2*a**2.
-a**2*(a - 2)
What is g in -2*g - 1/3*g**2 + 1/3*g**3 + 0 = 0?
-2, 0, 3
Let x(m) be the first derivative of -3 + 2/3*m**5 + m**2 - 1/2*m**4 + 4/3*m - 14/9*m**3. What is y in x(y) = 0?
-1, -2/5, 1
Suppose -4*h - 14 + 26 = 0. Let u(g) be the second derivative of 0*g**2 + 0*g**6 - 1/3*g**4 + 3/10*g**5 + 3*g + 0 + 0*g**h - 1/21*g**7. Let u(d) = 0. What is d?
-2, 0, 1
Let z(u) be the first derivative of u**5/20 + u**4/8 - 7*u**3/12 + u**2/2 - 47. Find b, given that z(b) = 0.
-4, 0, 1
Suppose 5*p + 346 = 4*i, 0 = 5*i - 5*p - 91 - 339. Suppose 12 = 4*n - i. Factor -36*z**4 - 18*z**5 - 2/3*z + 0 - 20/3*z**2 - n*z**3.
-2*z*(z + 1)*(3*z + 1)**3/3
Let -3/2*b**3 + b**2 + 0*b + 1/2*b**4 + 0 = 0. Calculate b.
0, 1, 2
Let t(k) = 26*k**2 + 270*k + 1215. Let z(d) = 9*d**2 + 90*d + 405. Let h(m) = 4*t(m) - 11*z(m). Factor h(x).
5*(x + 9)**2
Let h(p) be the first derivative of p**4/60 - p**2/10 + 6*p + 6. Let y(w) be the first derivative of h(w). Factor y(k).
(k - 1)*(k + 1)/5
Suppose 4*m = -k + 19, 0*k + 3*m - 18 = -2*k. Factor -3*u**5 + u**3 - k*u**3 + 5*u**3.
-3*u**3*(u - 1)*(u + 1)
Let g = 153/413 - 5/59. Let -g*i - 2/7*i**4 + 2/7*i**2 + 0 + 2/7*i**3 = 0. What is i?
-1, 0, 1
Let i be ((-4)/(-78))/(4/72). Factor i*w**2 + 2/13*w**4 + 2/13 - 8/13*w**3 - 8/13*w.
2*(w - 1)**4/13
Let z = 827/35 - 164/7. Factor -1/5*d**2 + z + 0*d.
-(d - 1)*(d + 1)/5
Let w(r) be the first derivative of r**9/6048 - r**7/840 + r**5/240 + 4*r**3/3 + 1. Let d(n) be the third derivative of w(n). Factor d(q).
q*(q - 1)**2*(q + 1)**2/2
Let g = -2/83 + 421/249. Let f(j) be the second derivative of -2*j**2 + 2/5*j**5 + 0 - 2*j + 11/6*j**4 + g*j**3. Factor f(o).
2*(o + 1)*(o + 2)*(4*o - 1)
Solve 0 - 1/2*p**5 + 0*p**4 + 0*p**2 + 0*p + 1/2*p**3 = 0.
-1, 0, 1
Let i be -1 + (-4)/24*-8. Let r(v) = -v**2 - 18*v + 2. Let g be r(-18). Solve d**g + 1/3*d**3 - 1/3 - 2/3*d**4 - i*d = 0 for d.
-1, -1/2, 1
Factor -2*z**2 - 6*z**3 - 4*z**5 + 10*z**2 + 18*z**3.
-4*z**2*(z - 2)*(z + 1)**2
Let y(d) be the third derivative of d**6/360 - d**3/6 + 3*d**2. Let v(q) be the first derivative of y(q). Factor v(b).
b**2
Suppose 4*c - 8 = 3*h, -2*h - 5 = -3*c + 1. Determine f, given that f - c*f + f**2 - f**3 - 3*f**2 = 0.
-1, 0
Factor 31*m - 6 - 3*m**3 - 10*m - 12*m.
-3*(m - 1)**2*(m + 2)
Let p = -3/46 + 59/552. Let z(m) be the third derivative of p*m**4 + 0*m**3 + 0*m - 1/60*m**5 + 2*m**2 + 0. Factor z(d).
-d*(d - 1)
Let r = -162 + 333/2. Let -7/2*i**4 - 9/2*i**3 + 1 + r*i + 5/2*i**2 = 0. Calculate i.
-1, -2/7, 1
Let l = -5/24 + 121/120. Solve 12/5*c**4 + l*c**3 + 16/5 - 4/5*c**5 - 28/5*c**2 + 0*c = 0.
-1, 1, 2
Let n(s) = -9*s**2 - 18*s - 6. Let l(w) = -w**2 - w + 1. Let f(h) = -6*l(h) + n(h). Determine k, given that f(k) = 0.
-2
Suppose 2/3*b**2 + 4/3*b**3 + 1/3*b**4 - 4/3*b - 1 = 0. Calculate b.
-3, -1, 1
Suppose 0 = -3*b - 4*c + 61, -2*b - 44 = -6*b + 4*c. Let z be 21/30 - 3/b. Let -1/2 + 0*y**2 - y + y**3 + z*y**4 = 0. What is y?
-1, 1
Let a(i) = i + 8. Let y be a(-10). Let q be 2/(-10)*y*10. Suppose 8*t**3 - t**2 + t**5 - 6*t**4 - 5*t**3 + 3*t**q = 0. What is t?
0, 1
Let y(m) be the second derivative of m**4/24 - m**3/4 + 19*m. Find i, given that y(i) = 0.
0, 3
Let k be 44/55*5/(-2). Let s(a) = -a**2. Let d(t) = t**2 + 4*t - 4. Let w(m) = k*s(m) - d(m). Factor w(r).
(r - 2)**2
Let s = -621 + 1865/3. Factor s*t**2 + 1/3*t - 1/3.
(t + 1)*(2*t - 1)/3
Factor -3/2*m**2 + 1/2*m - 1/2*m**3 + 1/2*m**4 + 1.
(m - 2)*(m - 1)*(m + 1)**2/2
Let j(a) = -a**2 - 4*a + 3. Let z be j(-4). Let h(m) be the second derivative of -1/3*m**z + 2*m + 0*m**2 + 0 - 1/6*m**4. Factor h(n).
-2*n*(n + 1)
Let o = -9/68 - -199/476. Factor -6/7 - o*h**2 + 8/7*h.
-2*(h - 3)*(h - 1)/7
Let i(x) = -x**2 -