, -2
Let s = 2 - -1. Let q = s - 1. Find t, given that -4*t + 3*t**2 - 5*t**q + 0*t**2 - 2 = 0.
-1
Let u(p) = -p**3 + 4*p**2 + p. Suppose 1 = -l + 2. Let o(f) = -5*f**2 - 2*f + 3*f + f**2 + 5*f**2. Let y(c) = l*u(c) - 2*o(c). Factor y(g).
-g*(g - 1)**2
Let y(x) = -3*x**4 - 12*x**3 + 26*x**2 - 19*x + 3. Let m(k) = -k - 26*k**2 + 7*k - 2 + 12*k + 4*k**4 + 12*k**3. Let v(z) = -5*m(z) - 6*y(z). Factor v(o).
-2*(o - 2)**2*(o - 1)**2
Suppose 20 = -r + 5*r. Find u, given that 3*u**4 - 2*u**3 - 4*u**4 + u**3 - u**5 + u**2 + 2*u**r = 0.
-1, 0, 1
Determine x, given that 10 + x**2 - 3 - 6 - 2*x = 0.
1
Suppose -4*k = -0*k - 40. Suppose -2*t = -4*a - 8, 2*a = -5*t + k - 2. Determine d, given that -2*d**3 - t*d**2 + 0*d**2 - 2*d**2 - 2*d = 0.
-1, 0
Let v = -9/4 + 5/2. Suppose -2*h = -f - 6*h, 0 = 5*f - h. Suppose v*w**3 + f + 0*w + 0*w**2 = 0. Calculate w.
0
Let o(p) be the third derivative of -1/660*p**6 + 0*p**5 + 0*p + 1/132*p**4 - p**2 + 0 + 0*p**3. Find s such that o(s) = 0.
-1, 0, 1
Let x(j) be the first derivative of -14*j**5/5 - 23*j**4/2 - 40*j**3/3 - 4*j**2 + 9. Find v, given that x(v) = 0.
-2, -1, -2/7, 0
Let k(y) be the third derivative of 1/1176*y**8 - 1/735*y**7 + 0*y + 0 + 5*y**2 - 1/420*y**6 + 0*y**3 + 1/210*y**5 + 0*y**4. Suppose k(g) = 0. Calculate g.
-1, 0, 1
What is u in -2/19*u**2 - 6/19*u**4 + 0 + 0*u + 8/19*u**3 = 0?
0, 1/3, 1
Find o, given that 1/4 - 1/4*o**3 + 1/4*o - 1/4*o**2 = 0.
-1, 1
Suppose 2*c = -1 + 9. Factor 4*r**2 - 2*r**2 - 5*r**2 - 27*r**3 - 10*r**2 - 23*r**c - 7*r**5 - 2*r.
-r*(r + 1)**3*(7*r + 2)
Suppose 5*z - 4*r - 9 = -5*r, 0 = z - r - 3. Let c = -3 + 5. Find u such that -5*u**2 + 3*u**z + u**c + 2*u = 0.
0, 2
Let y(m) be the second derivative of -1/60*m**6 + 0*m**3 + 1/40*m**5 + 0*m**4 + 0*m**2 + 3*m + 0. Suppose y(a) = 0. Calculate a.
0, 1
Let d(m) be the third derivative of 0*m**3 - 1/1512*m**8 + 0*m**4 + m**2 - 2/945*m**7 + 0 + 1/540*m**6 + 0*m + 1/135*m**5. Find x, given that d(x) = 0.
-2, -1, 0, 1
Suppose -6 = 2*s - 4*s. Factor -1 - r**2 + 6*r + r - s*r - 2.
-(r - 3)*(r - 1)
Let v(t) be the first derivative of t**6/9 + 4*t**5/15 + t**4/6 + 23. Factor v(m).
2*m**3*(m + 1)**2/3
Let j(a) be the first derivative of -2*a**3/15 - 2*a**2/5 - 7. Factor j(v).
-2*v*(v + 2)/5
Let z = 15 + -12. Find m such that -3*m**2 + 6*m**3 - 44 - z*m**4 + 44 = 0.
0, 1
Let l(d) be the second derivative of 25*d**7/84 - 19*d**6/12 + 139*d**5/40 - 97*d**4/24 + 8*d**3/3 - d**2 - 5*d. Suppose l(a) = 0. Calculate a.
2/5, 1
Let q(b) be the second derivative of 4*b**5/15 + 5*b**4/9 + 2*b**3/9 + 6*b. Find d, given that q(d) = 0.
-1, -1/4, 0
Let x = 79 + -77. Factor s**3 - 1/4 - 9/4*s**x + 3/2*s.
(s - 1)**2*(4*s - 1)/4
Let k be (0 - -1)/(-5) + (-357)/(-935). Factor -4/11 + 2/11*v**2 + k*v.
2*(v - 1)*(v + 2)/11
Let l(j) be the second derivative of -j**8/33600 - j**7/4200 + j**5/150 - 7*j**4/12 + 4*j. Let s(g) be the third derivative of l(g). Factor s(a).
-(a - 1)*(a + 2)**2/5
Let q(z) be the first derivative of z**4/14 - 4*z**3/21 + z**2/7 - 3. Factor q(k).
2*k*(k - 1)**2/7
Factor -2/7*v**5 - 4/7*v**2 + 0 + 2/7*v + 4/7*v**4 + 0*v**3.
-2*v*(v - 1)**3*(v + 1)/7
Let m be 2 - 0 - (-1)/1. Suppose 0 = -0*c - 9*c. Factor c*w - 2/3*w**2 + 0 - 2/3*w**m + 2/3*w**4 + 2/3*w**5.
2*w**2*(w - 1)*(w + 1)**2/3
Let q(z) = 1. Let r(n) = n**2 - 6*n + 16. Let a(b) = -14*q(b) + 2*r(b). What is c in a(c) = 0?
3
Determine d so that -20*d + 100*d**2 - 45*d**3 - 170 + 170 = 0.
0, 2/9, 2
Let p(s) be the third derivative of -1/96*s**4 + 0*s**3 + 0 - 1/240*s**5 + 4*s**2 + 0*s. Factor p(w).
-w*(w + 1)/4
Let u(m) be the first derivative of 5*m**4 + 15*m**3 + 15*m**2 + 5*m + 4. Factor u(y).
5*(y + 1)**2*(4*y + 1)
Factor 4 - j**2 - 1/2*j**3 + 2*j.
-(j - 2)*(j + 2)**2/2
Let d(l) = 2*l**2 + 20*l - 14. Let b = -2 + 6. Suppose 24 = j - b*j. Let y(c) = -c**2 - 7*c + 5. Let t(k) = j*y(k) - 3*d(k). Factor t(h).
2*(h - 1)**2
Let x(j) be the second derivative of -j**7/840 + j**6/480 + j**5/240 - j**4/96 + 3*j**2 - 4*j. Let g(k) be the first derivative of x(k). Factor g(c).
-c*(c - 1)**2*(c + 1)/4
Suppose h - 1 = -0*h. Suppose 3 - h = g. Solve 0 + 1/2*o + 1/2*o**4 - 1/2*o**3 - 1/2*o**g = 0 for o.
-1, 0, 1
Factor -4/5*o + 0 + 4/5*o**2 - 1/5*o**3.
-o*(o - 2)**2/5
Let o = -7 + 9. Suppose -o*c + 5 + 1 = 0. Solve -11*w**c + 12*w**3 + w - 2*w - 3*w**4 + 4*w**4 + 2 - 3*w**2 = 0 for w.
-2, -1, 1
Let n(b) = -3*b**2 + 19*b - 20. Let d(o) = o + 1. Let k(w) = -2*d(w) - n(w). Suppose k(y) = 0. What is y?
1, 6
Let o be 2/12 - (1 - 25/30). Factor -2/9*z + o - 2/9*z**2.
-2*z*(z + 1)/9
Let p = 9 + -7. Solve 5 + 0*v + 0*v - 3*v**2 - p = 0.
-1, 1
Let l be 2/15 + (-512)/15. Let u = 103/3 + l. Factor -u*q**2 + 0 - 1/3*q.
-q*(q + 1)/3
Let s(v) be the first derivative of -v**3/6 + 9*v**2/2 - 81*v/2 - 48. Solve s(t) = 0.
9
Suppose 9/2*b - 3/2*b**3 + 3 + 0*b**2 = 0. What is b?
-1, 2
Suppose -4*g + 8 = -b - 1, 0 = 2*g + 4*b - 18. Factor 2*t - t + 2*t + 3*t**2 + 3 + g*t.
3*(t + 1)**2
Let j(c) = -c - 8. Let w be j(-12). Factor -1 - m + m**2 - 4*m**2 - 2*m**3 + w*m**2 + 3*m**3.
(m - 1)*(m + 1)**2
Let o(h) be the second derivative of h**7/98 - h**6/14 + 3*h**5/14 - 5*h**4/14 + 5*h**3/14 - 3*h**2/14 - h. Solve o(u) = 0.
1
Suppose y - 1 = -f, 2*y + 2*f - 6 = 4*f. Let j = 149/4 + -37. Determine n so that 1/4*n**y - 1/2*n + j = 0.
1
Let j(v) be the second derivative of v**7/49 - 11*v**6/105 + 3*v**5/14 - 3*v**4/14 + 2*v**3/21 + 10*v. Let j(k) = 0. What is k?
0, 2/3, 1
Let x(u) = -5*u**4 - 5*u**3 + 2*u**2 - 4*u. Let p(n) = -14*n**4 - 14*n**3 + 6*n**2 - 11*n. Let q(b) = -4*p(b) + 11*x(b). Factor q(v).
v**2*(v - 1)*(v + 2)
Let i(g) be the first derivative of -g**5/60 - g**4/12 + g**2/2 + 1. Let h(y) be the second derivative of i(y). Factor h(x).
-x*(x + 2)
Let h = -1 - -3. Factor -8*z + 17*z**h - z**2 + 3 - 2.
(4*z - 1)**2
Factor -16/3*o**4 - 4/3*o**5 + 0*o**3 + 64/3*o + 64/3*o**2 + 0.
-4*o*(o - 2)*(o + 2)**3/3
Let a(z) = -53*z**2 + 12*z. Let c(l) = -27*l**2 + 6*l. Let g be -11*-4*3/(-12). Let d(w) = g*c(w) + 6*a(w). Factor d(j).
-3*j*(7*j - 2)
Let d = -2 + 4. Suppose -d*u = -0*f + f - 5, -2*f + 13 = 5*u. Factor -u*b + 4*b**4 - 4*b**2 - 2*b**5 + 7*b - 2*b.
-2*b*(b - 1)**3*(b + 1)
Let i(s) be the second derivative of 0*s**3 + 0*s**2 + 0*s**4 + 3/10*s**5 + 5*s + 0 + 7/10*s**6. Factor i(q).
3*q**3*(7*q + 2)
Let y(o) be the third derivative of -o**8/672 - o**7/210 - o**6/240 - 15*o**2. Factor y(t).
-t**3*(t + 1)**2/2
Let j = -101 + 101. Let a(z) be the second derivative of 1/4*z**4 + 0 + 2*z + 1/4*z**5 + j*z**2 - 1/3*z**3. Solve a(k) = 0.
-1, 0, 2/5
Let b = -311/135 - 4/135. Let c = -2 - b. Solve c + 2/3*y + 1/3*y**2 = 0.
-1
Let x = -1/1419 + 2851/18447. Let -4/13*i**3 - 6/13*i**2 + x*i**4 + 8/13*i + 8/13 = 0. Calculate i.
-1, 2
Let k(v) be the first derivative of v**5 + 5*v**4 + 10*v**3 + 10*v**2 + 5*v + 12. Factor k(s).
5*(s + 1)**4
Let j = 149 + -149. Let f(w) be the third derivative of 0*w**3 + 1/240*w**5 + j + 0*w + w**2 - 1/48*w**4. Factor f(n).
n*(n - 2)/4
Let b(v) be the third derivative of -v**5/150 + v**4/30 - v**3/15 - 5*v**2. Factor b(w).
-2*(w - 1)**2/5
Factor 4 - 4*j + 4*j + 4*j**2 + 6*j + 2*j.
4*(j + 1)**2
Let d(c) be the third derivative of -5*c**2 + 1/132*c**4 - 1/660*c**6 + 0 + 1/1155*c**7 + 2/33*c**3 - 1/110*c**5 + 0*c. Let d(r) = 0. What is r?
-1, 1, 2
Let x(l) be the third derivative of l**6/120 + l**5/5 + 11*l**4/24 + l**3/3 - 4*l**2. Let t be x(-11). Factor 0*w + 0 - 1/3*w**t.
-w**2/3
Let m(k) be the first derivative of 4/3*k - 14/9*k**3 + 5/3*k**2 - 1. Suppose m(j) = 0. Calculate j.
-2/7, 1
Let w(l) be the third derivative of l**6/300 - l**5/150 - l**4/60 + l**3/15 - 2*l**2. Factor w(b).
2*(b - 1)**2*(b + 1)/5
Find l such that 2/3 + 14/3*l + 6*l**3 + 10*l**2 = 0.
-1, -1/3
Solve 4/9*b - 2/9*b**5 - 2/3*b**2 + 2/3*b**4 - 2/9*b**3 + 0 = 0.
-1, 0, 1, 2
Let t(k) = 2*k**2 - 4*k + 2. Let f be t(2). Factor h**2 - 4*h**f - h**2 + 2*h**2.
-2*h**2
Factor 7/3*z**3 + 6*z**2 + 8/3 + 1/3*z**4 + 20/3*z.
(z + 1)*(z + 2)**3/3
Let x(d) be the third derivative of d**7/140 - 3*d**6/80 + 3*d**5/40 - d**4/16 + 10*d**2. Factor x(q).
3*q*(q - 1)**3/2
Let i(l) be the second derivative of l**5/180 - l**4/54 - 5*l**3/54 + l**2/3 + 58*l. Solve i(o) = 0 for o.
-2, 1, 3
Let x(z) be the third derivative of -z**6/30 - 11*z**5/15 - 35*