f -2*s**7/21 + 2*s**6/15 + 2*s**5/5 - 2*s**4/3 - 2*s**3/3 + 2*s**2 - 3*s. Factor t(l).
-4*(l - 1)**3*(l + 1)**2
Let j = 7 - 4. Suppose -4*s = -j*d + d + 12, 2*d - 3 = s. Factor d*m**3 - 2*m + 0*m + 4*m**2 - 2*m**3.
-2*m*(m - 1)**2
Let f(k) be the second derivative of k**7/3 + 2*k**6/15 + 4*k. Factor f(p).
2*p**4*(7*p + 2)
Suppose 5 = -x, -2*f + 4*x = f - 29. Let a(u) be the first derivative of 1/9*u**f + 1/6*u**2 + 0*u - 1. Solve a(l) = 0 for l.
-1, 0
Let r be (3/15*0)/2. Let 0*t + r*t**2 + 0 + 0*t**3 - 2/7*t**4 = 0. Calculate t.
0
Let k(v) = -13*v**2 - 32*v - 32. Let s(z) = -13 - 3 - 11*z - 16*z**2 - 5*z + 9*z**2. Let b(n) = 3*k(n) - 5*s(n). Suppose b(x) = 0. What is x?
-2
Let s = 153 + -150. Suppose 8/3 + 0*q + 2/3*q**s - 2*q**2 = 0. Calculate q.
-1, 2
Suppose g = -y + 6*y + 28, 4 = -2*g - 2*y. Factor g - 3*k + 3*k**3 - 2*k**2 - 2*k**2 + k**2.
3*(k - 1)**2*(k + 1)
Let s(b) be the second derivative of b**7/273 - b**6/195 - b**5/65 + b**4/39 + b**3/39 - b**2/13 - 9*b. Find g, given that s(g) = 0.
-1, 1
Let s be (20/35)/((-4)/(-14)). Suppose -s*c = 2*g, 3*c - 3*g - 2*g - 16 = 0. Factor 1/4*d**c - 1/4*d**3 + 1/4*d - 1/4.
-(d - 1)**2*(d + 1)/4
Let w(h) be the first derivative of h**3/12 - h/4 - 8. Factor w(x).
(x - 1)*(x + 1)/4
Let l(q) be the third derivative of -1/24*q**4 - 1/120*q**6 - 2*q**2 + 0 + 0*q - 1/30*q**5 + 0*q**3. Factor l(p).
-p*(p + 1)**2
Suppose 0 = -3*b + 4 + 5. Suppose 4 = -x + 9. Factor -1/4*q**x + 0*q + 0*q**2 + 1/4*q**b + 0*q**4 + 0.
-q**3*(q - 1)*(q + 1)/4
Let o be (-8)/32*(0 + -1). Let 0*y + 0 + 1/2*y**4 - 1/4*y**3 - 1/2*y**2 + o*y**5 = 0. What is y?
-2, -1, 0, 1
Let q(v) be the second derivative of 0*v**2 + 0*v**3 - 2*v - 1/15*v**6 + 0 - 1/6*v**4 + 1/5*v**5. Factor q(t).
-2*t**2*(t - 1)**2
Determine h so that 3*h - 9/2*h**2 + 0 + 3/2*h**3 = 0.
0, 1, 2
Factor 2*k - 6 - k**2 - 3*k + 7 + 1.
-(k - 1)*(k + 2)
Let l = 596 - 1191/2. Factor -1/2*v**2 + l + 0*v.
-(v - 1)*(v + 1)/2
Let c be (9/15)/((-1)/(-5)) + 2. Let o(w) be the second derivative of -1/14*w**4 - 1/7*w**3 + 0 - 1/7*w**2 - 1/70*w**c - 2*w. Let o(i) = 0. What is i?
-1
Let l(s) be the first derivative of 2*s**3/27 + 4*s**2/9 + 8*s/9 + 62. Determine j, given that l(j) = 0.
-2
Let h = 2 + 4. Suppose -h*m = -5*m. Determine b, given that m + 3*b**2 + 21/5*b**3 - 6/5*b = 0.
-1, 0, 2/7
Let i(z) = -3*z**4 + 15*z**3 - 33*z**2 + 15*z + 3. Let q(d) = 3*d**4 - 16*d**3 + 33*d**2 - 16*d - 2. Let c(j) = 2*i(j) + 3*q(j). Factor c(h).
3*h*(h - 3)*(h - 2)*(h - 1)
Let v be 33 - 38 - 16/(-3). Suppose 1/3*l**3 + 1/3*l**4 - v*l**2 + 0*l + 0 - 1/3*l**5 = 0. What is l?
-1, 0, 1
Factor 2/5*w**3 + 1/5*w**5 + 1/5 - 3/5*w + 2/5*w**2 - 3/5*w**4.
(w - 1)**4*(w + 1)/5
Factor 3/2*s**2 + 3/2*s - 3.
3*(s - 1)*(s + 2)/2
Suppose -3*q = 3*x - 12, 3*q - 5*x = 5*q - 14. Find p such that 8*p**q + p**4 + 4*p**4 + 2*p**4 - 5*p**4 + 8*p**3 = 0.
-2, 0
Let k(j) = j**5 - j**4 - j**2 - j + 1. Let d(z) = -34*z**5 + 50*z**4 - 2*z**3 - 10*z**2 - 2. Let m(b) = -d(b) - 2*k(b). Determine g, given that m(g) = 0.
-1/4, 0, 1
Let g(w) be the second derivative of -w**4/15 + 11*w. Solve g(s) = 0 for s.
0
Let n = 1476 - 10308/7. Factor -n*r - 8/7 - 6/7*r**3 - 22/7*r**2.
-2*(r + 1)*(r + 2)*(3*r + 2)/7
Let d = 215 - 305. Let x be (-171)/d - (-2)/(-5). Determine c so that 9/4*c**3 + 9/4*c + 6*c**2 - x = 0.
-2, -1, 1/3
Let p be (5/15)/(2/42). Factor -2*y**2 - p*y**3 + 4*y - 4*y**2 - 3*y**3.
-2*y*(y + 1)*(5*y - 2)
Suppose 0 = 5*h + 5, 19 = 2*t + 3*t - 4*h. Let m(q) be the second derivative of 1/4*q**t - 3*q - 1/40*q**5 + 0 + 1/2*q**2 + 0*q**4. Suppose m(v) = 0. What is v?
-1, 2
Let -4/5 + 4/5*g**3 - 2/5*g + 8/5*g**2 - 2/5*g**5 - 4/5*g**4 = 0. What is g?
-2, -1, 1
Let t(w) be the second derivative of 1/6*w**4 + 0 - 3*w - 2/9*w**3 - 1/30*w**5 + 0*w**2. Suppose t(u) = 0. Calculate u.
0, 1, 2
Suppose -9*h**2 - 2*h**3 + 6*h**2 + h**2 = 0. Calculate h.
-1, 0
Let r(t) = 2*t**3 + 8*t**2 + 6*t. Let l(i) = i**2 - 1. Let h(v) = -4*l(v) + 2*r(v). Let h(d) = 0. Calculate d.
-1
Let u = 18 + -18. Suppose u*x - 4 = -x. Factor -4/9*q + 2/9*q**x + 0 + 4/9*q**3 - 2/9*q**2.
2*q*(q - 1)*(q + 1)*(q + 2)/9
Let a(t) = -t**2 + 9*t - 13. Let z be a(6). Let f(p) be the first derivative of -18/5*p**z + 0*p + 4/3*p**6 - 2/3*p**3 + 0*p**2 + 3*p**4 + 3. Factor f(c).
2*c**2*(c - 1)**2*(4*c - 1)
What is a in -2/5*a + 8/5 - 1/5*a**2 = 0?
-4, 2
Let c(u) be the first derivative of -u**4/20 + 5. Solve c(v) = 0.
0
Let o = -1/6 - -7/30. Let q(a) be the third derivative of 0*a**5 + a**2 - o*a**3 + 0 + 0*a + 1/150*a**6 - 1/30*a**4 + 1/525*a**7. Solve q(k) = 0 for k.
-1, 1
Let h(y) be the first derivative of 2*y**5/45 + 2*y**4/9 + 4*y**3/9 + 4*y**2/9 + 2*y/9 - 2. Factor h(r).
2*(r + 1)**4/9
Let u(b) = -35*b**3 + 45*b**2 - 18*b + 2. Let v(h) = 104*h**3 - 136*h**2 + 54*h - 6. Suppose -26 = 4*k + 6. Let m(i) = k*u(i) - 3*v(i). Factor m(d).
-2*(d - 1)*(4*d - 1)**2
Let o = -2/91749 + -996122/458745. Let l = 18/7 + o. Factor -2/5*n**2 + 0 - l*n**5 + 2/5*n**4 + 0*n + 2/5*n**3.
-2*n**2*(n - 1)**2*(n + 1)/5
Suppose -9/4 - 3/4*h**2 - 3*h = 0. Calculate h.
-3, -1
Let w(o) = -o**2 - o + 1. Let y(d) = 31*d**2 + 66*d + 14. Let l(t) = 6*w(t) + y(t). Determine n so that l(n) = 0.
-2, -2/5
Factor -18*a**3 - 4*a**2 - 3*a + 3*a**2 + a**5 - 11*a**2 - 12*a**4 - 4*a**5.
-3*a*(a + 1)**4
Let b be (-2)/(-3) - (-16)/(-24). Suppose 2*x + 0 - 4 = b. Factor 0*p + 1/3 - 1/3*p**x.
-(p - 1)*(p + 1)/3
Let o(u) be the first derivative of -1 - 1/3*u**3 + 1/6*u**6 - 1/4*u**4 + 0*u + 0*u**2 + 1/5*u**5. Factor o(a).
a**2*(a - 1)*(a + 1)**2
Determine d so that 4/11*d + 2/11*d**3 - 6/11*d**2 + 0 = 0.
0, 1, 2
Let m be (-44)/(-10) + (4 - 8). Factor 6/5*z**2 + 2/5 + m*z**3 + 6/5*z.
2*(z + 1)**3/5
Let u(r) be the third derivative of 0*r + 0 + 1/70*r**5 + 0*r**3 + 1/140*r**6 + 2*r**2 + 1/84*r**4 + 1/735*r**7. Solve u(t) = 0 for t.
-1, 0
Let v(j) be the second derivative of j**5/20 + 5*j**4/12 + 13*j. Determine s, given that v(s) = 0.
-5, 0
Let u = 0 + 2. Suppose 0*w = 4*w. Suppose -10/9*q**5 + 4/9*q**2 - u*q**3 + 0*q + w + 8/3*q**4 = 0. What is q?
0, 2/5, 1
Let f(k) be the second derivative of k**5/40 - k**4/24 - 5*k**3/12 - 3*k**2/4 - 6*k. Let f(g) = 0. What is g?
-1, 3
Determine j, given that -1/2*j + 1 - 1/2*j**2 = 0.
-2, 1
Solve -26 + 3*j**4 - 3*j**3 + 3*j + 26 - 3*j**2 = 0 for j.
-1, 0, 1
Let c(k) = -3*k + 6. Let z be c(4). Let f be (-1)/2*(z - -2). Factor 2*r**f + 9*r**4 + 0*r**3 - r**2 - 4*r**5 - 6*r**3.
-r**2*(r - 1)**2*(4*r - 1)
Let l(c) = -4*c**2 + 4*c - 3. Let v(p) be the first derivative of p**3/3 - p**2/2 + p - 1. Let t(j) = -l(j) - 3*v(j). Solve t(h) = 0.
0, 1
Let p(b) be the third derivative of 1/84*b**8 - 7*b**2 + 0*b + 0 - 2/15*b**5 + 1/6*b**4 - 1/15*b**6 + 2/105*b**7 + 2/3*b**3. Solve p(f) = 0 for f.
-1, 1
Factor -4 + 2*q**3 - 6*q**2 - 6 + 8 + 6*q.
2*(q - 1)**3
Let r(c) be the first derivative of 0*c + 3/5*c**5 + 3 - c**3 - 3/2*c**2 + 3/4*c**4. Determine m, given that r(m) = 0.
-1, 0, 1
Suppose 20 = -3*f + 26. Let h(u) be the second derivative of 0 - u**f - u - 3/5*u**6 + 8/5*u**5 + 2*u**3 + 2/21*u**7 - 7/3*u**4. Solve h(v) = 0 for v.
1/2, 1
Let k be (4/3)/4 + (-68)/(-84). Determine t, given that -2/7*t**2 - 8/7*t - k = 0.
-2
Suppose -21 = 4*s - 3*s. Let v = -62/3 - s. Factor v*j**2 - 1/3 + 0*j.
(j - 1)*(j + 1)/3
Let w(f) be the second derivative of 0*f**2 - 1/6*f**4 - 1/75*f**6 - 2/25*f**5 - 2/15*f**3 + 0 + 4*f. Factor w(k).
-2*k*(k + 1)**2*(k + 2)/5
Let l(o) be the third derivative of o**7/42 - o**6/6 + o**5/2 - 5*o**4/6 + 5*o**3/6 + 29*o**2. Find s such that l(s) = 0.
1
Let k be ((-4)/210)/((-120)/70). Let b(t) be the third derivative of 0*t**3 + 0*t**5 - t**2 - 1/504*t**8 - 1/36*t**4 + 0*t**7 + 0*t + 0 + k*t**6. Factor b(j).
-2*j*(j - 1)**2*(j + 1)**2/3
Let y = 54 - 50. Suppose 0 - 2/3*x**y + 4/3*x**3 - 2/3*x**2 + 0*x = 0. What is x?
0, 1
Let -m**2 - 26 + 3*m + 32 - 2*m**2 = 0. What is m?
-1, 2
Let t(k) = 45*k**3 + 26*k**2 - 25*k + 16. Let g(x) = -9*x**3 - 5*x**2 + 5*x - 3. Let o = -6 - -10. Let h(v) = o*t(v) + 22*g(v). Factor h(u).
-2*(u + 1)*(3*u - 1)**2
Suppose 0 = 6*c - 52 - 2. Factor -13 + 4*p**2 + c*p - 2*p + 5 - 3*p.
4*(p - 1)*(p + 2)
Let b = -11 + 8. Let g = b + 5. Factor 4/3*l**3 - 1/3 + 1/3*l**g - 4/3*l.
(l - 1)*(l + 1)*(4*l + 1)/3
Let t(h) be the first derivative of -3*h**4/20 - 