t derivative of -n**7/840 - n**6/90 + n**5/120 + n**4/6 - 10*n**3/3 - 10. Let z(f) be the third derivative of j(f). Factor z(b).
-(b - 1)*(b + 1)*(b + 4)
Let m be (3 + 3 + -8)/(294/(-35) - -8). What is w in 0 + 0*w + 12/5*w**2 + 2/5*w**m - 2/5*w**3 - 12/5*w**4 = 0?
-1, 0, 1, 6
Let w(x) be the second derivative of 0 + 0*x**3 - 2/21*x**7 + 1/6*x**4 + 0*x**2 + 0*x**5 - 3*x - 1/5*x**6. Let w(j) = 0. What is j?
-1, 0, 1/2
Let i be (43 - 10)/(4/6). Let t = i - 48. Factor -3/4*n**4 + t*n - 3/2*n**3 + 0 + 3/4*n**2.
-3*n*(n - 1)*(n + 1)*(n + 2)/4
Suppose 3*a - 1 = -0*r + 2*r, -5*r + 35 = 5*a. Let g(n) be the third derivative of 0*n**5 + 0*n**4 + 0*n**a - 5*n**2 + 0 + 0*n + 1/60*n**6. Factor g(t).
2*t**3
Find j such that 0 + 11/2*j**2 - 12*j - 1/2*j**3 = 0.
0, 3, 8
Let b(o) be the third derivative of -1/420*o**7 + 0*o**3 + 1/120*o**5 - 1/672*o**8 + 1/240*o**6 + 27*o**2 + 0 + 0*o**4 + 0*o. Determine k so that b(k) = 0.
-1, 0, 1
Let m(u) be the second derivative of u**7/147 + u**6/15 + 3*u**5/14 + 13*u**4/42 + 4*u**3/21 - 27*u + 1. Let m(y) = 0. Calculate y.
-4, -1, 0
Suppose -25 = -4*a - 9. Suppose -a*s + 3*y - 2 = 0, -2*y - 6 = -2*s - 4*y. Factor 3*h + 6 - s - 5 - 3*h**3.
-3*h*(h - 1)*(h + 1)
Let o(z) be the third derivative of z**8/5040 + z**7/315 + z**6/45 - 41*z**5/60 - 22*z**2. Let q(b) be the third derivative of o(b). Let q(r) = 0. What is r?
-2
Let n(i) = i**5 + i**4 - i**3 + i**2 - i. Let a(z) = -4*z**5 + 26*z**4 + 357*z**3 + 1659*z**2 + 2053*z - 4096. Let k(q) = -a(q) - 5*n(q). Solve k(u) = 0 for u.
-8, 1
Factor -c - 1/4*c**5 + 0 - 1/2*c**4 + c**2 + 3/4*c**3.
-c*(c - 1)**2*(c + 2)**2/4
Let s(u) be the first derivative of -u**6/6 + u**5/5 + u**4/2 - 2*u**3/3 - u**2/2 + u - 503. Solve s(r) = 0.
-1, 1
Factor 5/6*m**2 + 1/3*m - 7/6*m**3 + 0.
-m*(m - 1)*(7*m + 2)/6
Suppose 4*v = -2*r + 12, 2*v - 7*v = 2*r - 15. Let h(s) be the second derivative of -1/7*s**3 + r + 5*s - 1/28*s**4 + 9/14*s**2. Factor h(i).
-3*(i - 1)*(i + 3)/7
Let b = -51 + 53. Factor -s**b - 32*s + 23*s - 3*s**4 + 6 - 2*s**2 + 9*s**3.
-3*(s - 2)*(s - 1)**2*(s + 1)
Factor -a**3 + 0*a**3 + a**2 + 4*a**3 + 8*a**2 - 6*a**3.
-3*a**2*(a - 3)
Let t be 26/4 + 6/10*-10. Factor 0*l + t*l**3 + 0 + 1/2*l**2.
l**2*(l + 1)/2
Suppose 8*n = 12*n - 12. Let v be 2/n - (2/5)/1. Factor 14/15*y**3 + 0*y + 0 - v*y**2.
2*y**2*(7*y - 2)/15
Suppose -2*h - 1 = 2*t + t, -5*h = 2*t + 19. Solve -i**4 + 0*i**3 - 12*i**2 - i**4 - 2*i**4 + 4*i + 12*i**t = 0.
0, 1
Let g(a) be the second derivative of -a**4/3 + 5*a**3/9 + a**2/3 + 9*a - 7. Determine f so that g(f) = 0.
-1/6, 1
Let x(z) be the first derivative of 16*z**3/9 + 3*z**2 + 41. Solve x(s) = 0.
-9/8, 0
Let y(w) be the first derivative of 3 + 2/11*w - 1/22*w**2 - 1/33*w**3. Determine q, given that y(q) = 0.
-2, 1
Let q(l) be the first derivative of -l**5/10 + l**4 + 3*l**3/2 + 17. Factor q(r).
-r**2*(r - 9)*(r + 1)/2
Let h(w) = -2*w + 22. Let m be h(9). What is i in 68*i - 3*i**2 + m*i - 110 - 322 = 0?
12
Let d(f) = 6*f**2 + 6*f - 3. Suppose 0 = -2*z + 7*z - 15. Let b be (-8)/8 - (-1 - z). Let j(k) = -k**2 + k - 1. Let o(w) = b*j(w) - 3*d(w). Factor o(y).
-3*(y + 1)*(7*y - 2)
Determine o so that 4/7*o - 27/7*o**4 + 51/7*o**3 + 0 - 4*o**2 = 0.
0, 2/9, 2/3, 1
Let l(x) be the first derivative of 0*x**2 + 0*x**5 - 2*x**3 + 4 + 1/6*x**4 + 0*x - 1/90*x**6. Let h(q) be the third derivative of l(q). Factor h(v).
-4*(v - 1)*(v + 1)
Let -3/2*n**4 + 108 - 39/2*n**3 - 69*n**2 - 18*n = 0. Calculate n.
-6, -2, 1
Let h = 48 - 28. Factor h*y**2 + y**5 - 10*y**4 - 5*y**4 + 3*y**5 + y**5.
5*y**2*(y - 2)**2*(y + 1)
Let v(w) = w**3 + w**2 + 1. Let i(f) = -2*f**3 + 2*f**4 + 15*f**2 - 4 + 10*f**3 - f**2. Let y(q) = i(q) + 4*v(q). Factor y(l).
2*l**2*(l + 3)**2
Let y(g) be the first derivative of 0*g**3 + 0*g**2 - 1/18*g**6 - 1/15*g**5 + 0*g + 21 + 1/6*g**4. Let y(q) = 0. What is q?
-2, 0, 1
Let b(l) be the second derivative of 0 + 4/9*l**4 + 4/9*l**3 + 0*l**2 - 7/30*l**5 - 11*l - 1/9*l**6. Determine g so that b(g) = 0.
-2, -2/5, 0, 1
Suppose 0 = -24*p + 9*p - 1875. Let m be p/50 + (-85)/(-26). Solve -m*t + 6/13 - 4/13*t**2 = 0 for t.
-3, 1/2
Let i be ((-4)/(-4) + (-8)/6)*-1. Find j, given that 4/3 + i*j**3 + 0*j - j**2 = 0.
-1, 2
Let a(s) be the second derivative of s**4/8 - 7*s**3/2 - 24*s**2 + 36*s - 5. Suppose a(h) = 0. Calculate h.
-2, 16
Let l = 368 - 258. Let k = -879/8 + l. Solve -1/8*y**4 - 1/4*y**3 + 0 + 0*y - k*y**2 = 0 for y.
-1, 0
Suppose 0 = 4*x - 85*x + 162. Suppose 0*t**x + 5/2*t**5 + 0*t**4 + 5/2*t + 0 - 5*t**3 = 0. Calculate t.
-1, 0, 1
Let w = 85273/5 + -17054. Determine s so that -w*s**3 - 3/5*s**4 - 9/5*s + 3*s**2 + 0 = 0.
-3, 0, 1
Let p(y) be the first derivative of y**3/5 + 21*y**2/5 - 96*y/5 - 495. Factor p(q).
3*(q - 2)*(q + 16)/5
Let s = 33 + -33. Suppose s = -k - 0*k - w, -5*w = 3*k + 4. Factor -154*t - 10*t**2 + 3*t**3 + k*t**3 + 159*t.
5*t*(t - 1)**2
Let p(k) be the third derivative of k**8/6720 + k**7/1680 - k**6/120 - k**5/20 - 20*k**2. Let l(d) be the third derivative of p(d). Factor l(g).
3*(g - 1)*(g + 2)
Suppose 3*v - 12 = -v. Let z(c) be the second derivative of 0*c**2 - 1/3*c**v + 2*c - 1/15*c**6 + 1/10*c**5 + 1/6*c**4 + 0. Determine g so that z(g) = 0.
-1, 0, 1
Let g(u) be the third derivative of -1/420*u**7 - 1/480*u**6 + 0*u**4 + 0*u**3 + 0 + 9*u**2 + 1/120*u**5 + 1/1344*u**8 + 0*u. Factor g(p).
p**2*(p - 2)*(p - 1)*(p + 1)/4
Suppose -1702*t = -1733*t + 124. Determine d so that 1/5*d**t + 2/5 + 1/5*d**3 - 1/5*d - 3/5*d**2 = 0.
-2, -1, 1
Let t = 1546 + -1544. Suppose 4/3 - 1/3*f**t + f = 0. What is f?
-1, 4
Let f(d) = -64*d**3 - 12*d**2 - 3. Let j(r) = 6 - 9 + 3 - r + r**2 - 1. Let s(t) = -f(t) + 4*j(t). Factor s(k).
(4*k - 1)*(4*k + 1)**2
Let n(x) be the third derivative of 0*x**3 + 0*x + 0 - 1/90*x**5 - 7*x**2 + 1/18*x**4 - 1/180*x**6. Factor n(u).
-2*u*(u - 1)*(u + 2)/3
Let t(f) be the second derivative of f**6/24 + f**5/4 - 5*f**4/48 - 5*f**3/6 - 443*f. Solve t(q) = 0 for q.
-4, -1, 0, 1
Let v = 25 - 23. Determine q so that 2*q + 5*q - 2*q**v + 22*q**2 + q = 0.
-2/5, 0
Let m = 83 + -51. Let i = m - 29. Suppose 12*j**3 + 0*j**2 - 8*j**i + 4*j**2 = 0. What is j?
-1, 0
Suppose -200*q + 34*q**3 + 135*q**2 + 104 - 19*q**3 - 2*q**4 - 21*q**2 - 31*q**3 = 0. What is q?
-13, 1, 2
Let t(i) = -9*i + 15. Let k(x) = -5*x + 7. Let p(z) = 5*k(z) - 3*t(z). Let a be p(6). Determine o, given that -a*o - 8 + 4*o**2 - 6*o - 3*o**2 - 3*o**2 = 0.
-2
Factor -5/3*t**3 + t**4 - 8/3*t**2 + 11/2*t - 7/3 + 1/6*t**5.
(t - 1)**3*(t + 2)*(t + 7)/6
Let c(h) be the third derivative of -h**5/300 + h**4/10 + 3*h**3/2 + 116*h**2. Let c(y) = 0. Calculate y.
-3, 15
Suppose 4*h + n - 10 = 14, -4*h = -n - 32. Solve 11 - 3 - 2*c**2 - 2*c**2 - h*c + 3*c**2 = 0 for c.
-8, 1
Let n(w) be the third derivative of w**5/60 - 5*w**4/8 + 9*w**3 + 55*w**2 - 4*w. Factor n(f).
(f - 9)*(f - 6)
Let n(s) = -s**3 + s**2 + s - 1. Let p(z) = -8 + 15*z**2 - 9*z + 1 - 7 + 12*z**3 + 23. Let j(c) = -9*n(c) - p(c). Let j(r) = 0. What is r?
-8, 0
Let h(t) = -38*t**4 + 332*t**3 - 70*t**2 - 2*t + 4. Let w(i) = -77*i**4 + 664*i**3 - 139*i**2 - 5*i + 10. Let o(k) = -5*h(k) + 2*w(k). Solve o(l) = 0 for l.
0, 2/9, 9
Let o = 48 + -47. Suppose -16 + 10*n + 60*n**3 + 0*n + 85*n**2 + o = 0. Calculate n.
-1, -3/4, 1/3
Factor 20*r**2 + 32*r - 31 + 24 + 10*r**3 - 41 - 14*r**3.
-4*(r - 6)*(r - 1)*(r + 2)
Let s be ((-351)/(-36) - 6) + -3. Let k(m) be the first derivative of -11 - 2*m**3 + 0*m + 3/2*m**2 + s*m**4. Suppose k(r) = 0. Calculate r.
0, 1
Let o(d) = -d**3 + d**2 + d + 1. Let b(j) = 5*j**3 - 8*j**2 - 2*j - 9. Let a(s) = -5*b(s) - 35*o(s). Factor a(u).
5*(u - 1)*(u + 2)*(2*u - 1)
Let k = -203/3 - -68. Let y(o) be the first derivative of -k*o + 1/6*o**4 - 1/3*o**2 - 8 + 1/15*o**5 + 0*o**3. Suppose y(n) = 0. What is n?
-1, 1
Let w = 451219 + -173719102/385. Let c = 1/55 + w. Let 2/7*n**4 - 4/7*n**3 - 2/7 + 0*n**2 + c*n = 0. Calculate n.
-1, 1
Let w(d) be the first derivative of d**3/3 + 139*d**2/7 - 80*d/7 - 148. Determine g so that w(g) = 0.
-40, 2/7
Let o(n) be the third derivative of n**7/105 + 3*n**6/20 + n**5 + 11*n**4/3 + 8*n**3 - 11*n**2 - 2*n. Factor o(s).
2*(s + 2)**3*(s + 3)
Let d(a) be the second derivative of -a**6/30 - a**5/10 + 3*a**4 - 44*a**3/3 + 32*a**2 + 324*a. Solve d(f) = 0 for f.
-8, 2
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