vative of v**4/22 + 4*v**3/33 - v**2/11 - 4*v/11 + 7. Factor g(l).
2*(l - 1)*(l + 1)*(l + 2)/11
Let b = 559 + -557. Let 1/2*j + 1/4*j**b + 0 = 0. Calculate j.
-2, 0
Let n be 4/(-22) - 37542/(-297). Let j = -126 + n. Factor -j*x**2 - 2/9 + 4/9*x.
-2*(x - 1)**2/9
Factor 20/7*n**3 + 72/7*n**2 + 2/7*n**4 + 108/7*n + 54/7.
2*(n + 1)*(n + 3)**3/7
Let o(z) be the third derivative of -z**8/42 + 2*z**7/21 + z**6/10 - 8*z**5/15 - 2*z**4/3 + 15*z**2. Let o(q) = 0. What is q?
-1, -1/2, 0, 2
Let h(y) be the third derivative of 0*y + 1/6*y**4 + 0 + 1/6*y**3 - 1/180*y**6 - y**2 + 1/60*y**5. Let v(q) be the first derivative of h(q). Factor v(w).
-2*(w - 2)*(w + 1)
Let g be (12/10)/((-12)/(-40)). Factor 25*w + 29*w + 18*w**3 + 43*w**2 - w**4 + 11*w**2 + 3*w**g.
2*w*(w + 3)**3
Let v be 2*(-39)/60 + 6/4. Let 2/5*q + v*q**2 - 2/5*q**3 - 1/5 = 0. Calculate q.
-1, 1/2, 1
Let l be 4/(-6)*(-42)/4. Let m(f) = -f + 9. Let y be m(l). Solve 2*v**2 + 0*v**2 - v**y = 0 for v.
0
Let d(n) = n + 8. Let j be d(-5). Suppose -j*s + 162 = -0*s. Factor 22 - s*g - g**3 + 18*g**2 + 19 + 13 - g**3.
-2*(g - 3)**3
Let g be -1 + -3 - (-48)/10. Suppose 0 + 2/5*q - 2/5*q**3 + 4/5*q**2 - g*q**4 = 0. What is q?
-1, -1/2, 0, 1
Suppose 6/5*r + 0 + 3/5*r**2 = 0. Calculate r.
-2, 0
Let o(d) be the first derivative of -d**6/600 + d**5/150 + d**4/120 - d**3/15 - 3*d**2/2 - 1. Let b(g) be the second derivative of o(g). Factor b(t).
-(t - 2)*(t - 1)*(t + 1)/5
Let q(a) be the first derivative of a**3/15 - 3. Factor q(r).
r**2/5
Let i = -1/41 - -43/82. What is r in -i*r**2 - 1/2*r**5 + 1/2*r**4 + 0 + 1/2*r**3 + 0*r = 0?
-1, 0, 1
Let u be (115/21 - 7/49) + -2. Factor -26/3*r**3 - 6*r**2 + 2/3*r - u*r**4 + 4/3.
-2*(r + 1)**3*(5*r - 2)/3
Let i(w) be the first derivative of -w**7/70 - w**6/40 + w**2 + 3. Let d(h) be the second derivative of i(h). Factor d(a).
-3*a**3*(a + 1)
Let k(v) be the third derivative of -v**6/40 + v**5/5 + 19*v**4/32 + 5*v**3/8 - 2*v**2. Find z such that k(z) = 0.
-1/2, 5
Factor 5/2*t - 1/2*t**2 + 3.
-(t - 6)*(t + 1)/2
Let g(k) be the second derivative of k**5/110 + k**4/33 - 11*k. Find w, given that g(w) = 0.
-2, 0
Let p(r) be the first derivative of -r + r**2 - 4 - 1/3*r**3. Factor p(f).
-(f - 1)**2
Let y = -1/107 + 109/214. Determine g so that -2*g - 3/2 - y*g**2 = 0.
-3, -1
Let g(p) be the first derivative of -10*p**5/7 - 15*p**4/7 + 22*p**3/21 + 12*p**2/7 - 8*p/7 - 8. Suppose g(c) = 0. Calculate c.
-1, 2/5
Suppose -11 - 1 = -3*y. Factor 3*s**3 - 2*s**4 - 4*s + 7 - 7 + y*s**2 - s**5.
-s*(s - 1)**2*(s + 2)**2
Suppose 0 = g - 0*z + 2*z - 14, -2*g = -3*z + 7. Suppose 0 = -n - 2*n + 6. Factor n*o**2 + 0*o**4 + g*o**4 - 2*o**4 + 4*o**3.
2*o**2*(o + 1)**2
Let c = 9 - 1. Let p(i) be the third derivative of -1/840*i**c + 0*i**3 + 2*i**2 - 1/150*i**5 + 0*i**4 + 0 + 1/525*i**7 + 0*i + 1/300*i**6. Factor p(u).
-2*u**2*(u - 1)**2*(u + 1)/5
Let g(w) = -3*w**2 - 3*w. Let q(f) = 15*f**2 + 16*f. Let s(p) = -11*g(p) - 2*q(p). Factor s(x).
x*(3*x + 1)
Determine q, given that -3 - 3*q**3 + 3*q**2 + 0*q**2 + 2*q + q = 0.
-1, 1
Let l(f) be the first derivative of -2*f**5/15 - 9. Factor l(n).
-2*n**4/3
Let a(d) be the second derivative of d + 1/15*d**5 - 1/6*d**3 + 0 + 0*d**2 + 1/108*d**6 + 1/9*d**4. Let r(u) be the second derivative of a(u). Factor r(x).
2*(x + 2)*(5*x + 2)/3
Let t = 399/20 - -44/5. Let l = t - 28. Factor -1/4 - l*m**2 + 1/4*m**3 + 3/4*m.
(m - 1)**3/4
Let p(f) = 13*f**2. Let s be p(1). Suppose -2*q = 5*o - 3*q - 21, q = 3*o - s. What is i in -2*i**5 + 4 + 0*i**5 - 2*i**4 - o = 0?
-1, 0
Let o(y) be the second derivative of y**7/840 - y**6/160 + y**5/240 + y**4/32 - y**3/12 + y**2/2 + 4*y. Let j(w) be the first derivative of o(w). Factor j(m).
(m - 2)*(m - 1)**2*(m + 1)/4
Let p be 2/54*(0 + 3). Let t(g) be the first derivative of -1/3*g + p*g**3 + 2 + 0*g**2. Factor t(f).
(f - 1)*(f + 1)/3
Let s be 9*(-3 + -4 - 326/(-42)). Factor s*z**2 + 3/7 + 24/7*z.
3*(4*z + 1)**2/7
Let z = -6 + 10. Factor v**5 + v**4 + 0*v**3 + z*v**3 - 4*v**3.
v**4*(v + 1)
Let p be (3 + -13 - -4)/((-9)/4). Let -8/3 - 2/3*h**2 - p*h = 0. What is h?
-2
Let c(d) be the first derivative of -3/5*d**5 + 0*d**2 - 2 - 5/4*d**4 - 2/3*d**3 + 0*d. Factor c(j).
-j**2*(j + 1)*(3*j + 2)
Let t be 22/33*(4 + -1). Suppose s = -r - 3, -5*s - r - t*r - 9 = 0. Factor -1/2*p + s - 1/2*p**2.
-p*(p + 1)/2
Let g = 42 - 125/3. Let -g*j + 2/3*j**2 + 1/3*j**3 - 2/3 = 0. What is j?
-2, -1, 1
Let m be 1/(-1) + 60/48. Suppose z = 3 - 1. Find x such that 0 - x - x**z - m*x**3 = 0.
-2, 0
Determine w so that 0 - 2/3*w**5 + 0*w + 2/3*w**2 - 2*w**3 + 2*w**4 = 0.
0, 1
Let k = -46 - -49. Factor 4/5 - 2*d + 2/5*d**k + 6/5*d**2 - 2/5*d**4.
-2*(d - 1)**3*(d + 2)/5
Let d(f) be the third derivative of -f**7/105 - f**6/10 - 13*f**5/30 - f**4 - 4*f**3/3 + 9*f**2. Factor d(u).
-2*(u + 1)**2*(u + 2)**2
Let w(o) be the second derivative of 1/9*o**3 - 1/72*o**4 - o**2 + 0 - 1/60*o**5 - o. Let p(d) be the first derivative of w(d). Factor p(i).
-(i + 1)*(3*i - 2)/3
Let t(k) be the third derivative of k**8/616 + 13*k**7/1155 + k**6/30 + 3*k**5/55 + 7*k**4/132 + k**3/33 - 13*k**2. Determine r, given that t(r) = 0.
-1, -1/3
Find g such that 2/3*g**3 + 0 + 2/3*g**4 - 2/3*g - 2/3*g**2 = 0.
-1, 0, 1
Find z such that -3/2*z**2 - 11/2 - 17*z = 0.
-11, -1/3
What is g in -12*g**5 + 6 - 211*g**4 + 196*g**4 - 20*g**3 + 53*g**3 + 39*g + 69*g**2 = 0?
-1, -1/4, 2
Let m = 4523/2830 - -1/566. Suppose 2/5*c + m*c**2 - 4/5 - 6/5*c**3 = 0. Calculate c.
-2/3, 1
Let r = 326 - 977/3. What is m in -1/6*m**2 + r*m - 11/6*m**4 - 11/6*m**3 - 1/2*m**5 + 0 = 0?
-2, -1, 0, 1/3
Suppose a - 34 = 50. Let v = a + -503/6. Find q, given that 1/6*q**3 - 1/3*q + 1/2*q**2 + v*q**5 - 1/2*q**4 + 0 = 0.
-1, 0, 1, 2
Let r(f) be the third derivative of -f**7/140 - f**6/16 - f**5/5 - f**4/4 + 9*f**2. Solve r(m) = 0.
-2, -1, 0
Let g(o) = 7*o**2 + 4*o + 6. Let u(v) = 7*v**2 + 3*v + 5. Suppose -3*d = -4*a - 15, 0*a - 3*a - 25 = -5*d. Let f(k) = d*g(k) - 6*u(k). Factor f(n).
-n*(7*n - 2)
Factor -3/2*n + 9/4 + 1/4*n**2.
(n - 3)**2/4
Suppose 3*j - 2*j = 45. Factor -42*q**2 + 3*q**3 - 4*q + q + j*q**2 - 3.
3*(q - 1)*(q + 1)**2
Let i(c) = -2*c**3 + 25*c**2 - 14*c + 26. Let a be i(12). Find j such that -2*j - 1/2*j**a - 2 = 0.
-2
Suppose -5*u + 2*u = -4*u. Factor 1/3*w**4 + u - 2/3*w**3 + 1/3*w**2 + 0*w.
w**2*(w - 1)**2/3
Let o(r) be the third derivative of r**6/40 + 33*r**2. Determine l so that o(l) = 0.
0
Let o be ((-2)/3 - 93/(-135)) + 0. Let h(c) be the third derivative of 0*c**3 + 0*c - o*c**5 - 1/36*c**4 - 2*c**2 - 1/180*c**6 + 0. Let h(d) = 0. What is d?
-1, 0
Let u = -100 - -2401/24. Let j(k) be the third derivative of 1/480*k**6 + 2*k**2 + 0*k - 1/96*k**4 + 1/240*k**5 - u*k**3 + 0. Determine o, given that j(o) = 0.
-1, 1
Let z(n) be the third derivative of n**5/270 - n**4/36 + 2*n**3/27 + 5*n**2. Solve z(w) = 0 for w.
1, 2
Let h(j) be the second derivative of j**5/20 - j**4/6 + j**3/6 + 2*j. Factor h(z).
z*(z - 1)**2
Suppose 1 = d - 2*d. Let a(v) = -v**3. Let k(g) = 2*g**5 - 6*g**4 - 4*g**3 - 2*g**2. Let m(s) = d*k(s) + 10*a(s). Factor m(n).
-2*n**2*(n - 1)**3
Let k be 3/10*(-1)/((-12)/20). Suppose -1/2*u**2 - k - u = 0. Calculate u.
-1
Solve 3/4*k**4 - 3/4*k**2 + 0 - 3/4*k + 3/4*k**3 = 0.
-1, 0, 1
Let g(q) be the first derivative of q**5/5 - 5*q**4/12 - q**3/3 + 3*q**2/2 - 6. Let b(i) be the second derivative of g(i). Find u such that b(u) = 0.
-1/6, 1
Suppose 2*d = -2*d. Suppose d*c + 2*s = c + 4, 0 = 4*c + 2*s - 14. Factor 2*b + 0*b + c*b**2 - b.
b*(2*b + 1)
Let d(g) = 2*g - 10. Let q be d(7). Suppose -15 - 1 = -q*t. Solve -4 - 3*c**2 + 2 + c**3 + 4 - c + c**t = 0 for c.
-2, -1, 1
Let j(w) be the second derivative of 25*w**4/54 - 10*w**3/27 + w**2/9 - 3*w. Factor j(k).
2*(5*k - 1)**2/9
Let q(b) be the second derivative of 7*b**5/20 - 5*b**4/16 - 19*b**3/24 + 3*b**2/4 - 5*b - 4. Factor q(x).
(x - 1)*(4*x + 3)*(7*x - 2)/4
Let r(j) = 2*j**2 + 3*j - 1. Let n be r(-3). Suppose -7 = -3*a + w, 2*a - 5*w + n = -9. Factor 0 - y**a + y - 3*y**2 - 15/4*y**3.
-y*(y + 2)**2*(4*y - 1)/4
Let k = -21 + 30. Let j be (3/k*0)/1. Determine b so that 1/3*b**2 + j - 1/3*b = 0.
0, 1
Factor 3*j + 3/2*j**2 + 0 - 3*j**3 - 3/2*j**4.
-3*j*(j - 1)*(j + 1)*(j + 2)/2
Let u(w) be the first derivative of -2 + 1/9*w**3 - 1/15*w**