vative of -1/80*s**r + 0 - 1/32*s**4 + 0*s**3 - s**2 + 0*s. Determine t so that o(t) = 0.
-1, 0
Let v = -10344 + 31048/3. Factor -v - 11*u**2 + 40/3*u + 10/3*u**3 - 1/3*u**4.
-(u - 4)**2*(u - 1)**2/3
Let r(n) = 2*n**2 - 5*n - 4. Let f be r(4). Let -7 + 28*x - 5 - 4*x**3 + f*x**3 - 20*x**2 = 0. Calculate x.
1, 3
Let p be (-4 + (-152)/(-36))*9. Factor 2*d**p - 7*d**2 + d**2 + 0*d**4 + 4*d**4.
4*d**2*(d - 1)*(d + 1)
Let g(q) be the second derivative of -q**5/5 + q**4 + 2*q**3/3 - 6*q**2 + 15*q - 1. Let g(x) = 0. What is x?
-1, 1, 3
Let b(d) be the first derivative of d**3/3 - 9. Let n(m) = -12*m - 8. Let x(p) = 4*b(p) - n(p). Let x(w) = 0. What is w?
-2, -1
Let p = -609 + 396. Let s = p + 218. Determine h so that -6/5*h + 6/5*h**4 - 4/5*h**2 + 2/5*h**s + 4/5*h**3 - 2/5 = 0.
-1, 1
Let y be 819/(-15) - ((-6)/(-5))/3. Let c = y - -276/5. Determine k so that -c*k + 2/5 - 1/5*k**2 = 0.
-2, 1
Suppose -4*x + 2*a = -17 - 7, a = -4*x + 36. Let d(z) be the first derivative of 76/15*z**2 + 44/5*z**3 - x + 27/10*z**4 + 16/15*z. Factor d(n).
2*(n + 2)*(9*n + 2)**2/15
Suppose 0 = -35*n + 32*n + 6. Factor 21*s - 6*s - 4*s + 34*s + 5*s**n.
5*s*(s + 9)
Let n = 5/5903 + -5070712/41321. Let y = n + 123. Factor y*d**4 - 2/7*d**2 + 4/7*d**3 + 0 - 4/7*d.
2*d*(d - 1)*(d + 1)*(d + 2)/7
Let 0 + 0*z - 1/5*z**4 + 2/5*z**3 + 0*z**2 - 1/5*z**5 = 0. Calculate z.
-2, 0, 1
Let a(d) be the third derivative of -d**7/105 - d**6/20 - d**5/30 + d**4/4 + 2*d**3/3 - 21*d**2 - d. Factor a(c).
-2*(c - 1)*(c + 1)**2*(c + 2)
Solve 0 - 6*k + 2/11*k**2 = 0.
0, 33
Let v = -38248/9 - -4250. Factor -2/9*r + v*r**3 - 10/9 + 10/9*r**2.
2*(r - 1)*(r + 1)*(r + 5)/9
Let h be 28/(-154) + (-846)/(-55). Let u = h + -15. Find d, given that u*d**3 + 1/5*d**4 - 1/5*d**2 + 0 - 1/5*d = 0.
-1, 0, 1
Suppose 3*y + 5 = -7. Let u = 7 - y. Determine h so that 7*h**2 + 2 - 8*h**5 + 16*h**3 + 3*h - 11*h**2 - u*h + 2*h**4 = 0.
-1, 1/4, 1
Let m = 853 - 850. Let c(a) be the second derivative of 0*a**2 + 0 + 13*a + 1/4*a**m + 1/8*a**4. What is r in c(r) = 0?
-1, 0
Let w(r) be the third derivative of r**7/70 - 41*r**6/40 + 117*r**5/20 - 115*r**4/8 + 19*r**3 + 175*r**2 - 1. Factor w(o).
3*(o - 38)*(o - 1)**3
Suppose -2*c = 5*v - 16, 3*v = -0*c + 2*c. Suppose -c*j = n + 4 - 30, j - 8 = -n. Let j*y**2 - 2*y**3 + 0*y**3 - 7*y**2 = 0. Calculate y.
0, 1
Suppose -5*t = -4*p - 18, 169*t - 170*t + 5*p + 12 = 0. Let j(a) be the first derivative of -3/4*a**4 + t + 0*a**2 + 0*a**3 + 0*a. Factor j(z).
-3*z**3
Let f = -490/73 + 2596/365. Factor -1/5*m**4 - 1/5*m - 1/5*m**5 + 2/5*m**3 + f*m**2 - 1/5.
-(m - 1)**2*(m + 1)**3/5
Factor -6 - 377*q + q**3 + 388*q - 3*q**2 - 3*q**2.
(q - 3)*(q - 2)*(q - 1)
Factor -70 - 135*j - 104*j**2 + 236*j**2 - 122*j**2.
5*(j - 14)*(2*j + 1)
Let o(q) be the first derivative of q**5/15 + q**4 + 6*q**3 + 19*q**2/2 - 2. Let f(c) be the second derivative of o(c). Factor f(h).
4*(h + 3)**2
Let p(n) = -2*n**2 - 18*n - 17. Let w be p(-13). Let v = -118 - w. Factor 0 + 12/5*u - 6/5*u**v + 14/5*u**2.
-2*u*(u - 3)*(3*u + 2)/5
Let x(k) be the third derivative of k**5/12 + 295*k**4/12 + 17405*k**3/6 - 41*k**2. Solve x(s) = 0 for s.
-59
Let p(b) be the second derivative of -b**4/20 + 3*b**2/10 + 145*b. Solve p(w) = 0 for w.
-1, 1
Suppose 3*m = 5*w + 85 + 41, 3*m + w - 144 = 0. Let d = 168 + -166. Factor 24*g - 18*g**5 - 57*g**3 + 69*g**4 + m*g**d - 57*g**5 - 234*g**4 + 22*g**2 - 12.
-3*(g + 1)**3*(5*g - 2)**2
Let i(h) = -5*h**3 - 6*h**2 - 2 - 5*h - h + 4*h**3. Let g be i(-5). Determine w, given that -5 - g*w + 9*w**2 + 4 + 4 + 15*w = 0.
-1, -1/3
Let n(t) be the third derivative of -t**5/100 + 15*t**4/8 + 38*t**3/5 + 117*t**2. Find x such that n(x) = 0.
-1, 76
Let y(q) = 20*q**4 - 16*q**2 + 8*q + 4. Let u(n) = 3*n - 5*n**2 - 10*n**4 + 10 + 17*n**4 - 9. Let x(w) = -8*u(w) + 3*y(w). Factor x(a).
4*(a - 1)**2*(a + 1)**2
Let j(f) = -6*f - 2*f + 3 - 6*f**2 - 3*f**2 - 6*f**3 + 5*f**3. Let u be j(-8). Factor 2 + u*c - 6*c + 0*c + c**2.
(c - 2)*(c - 1)
Suppose 0 = 2*h - 4*u + 12, 6*u - 12 = 4*u. Find y, given that 0 - 2/3*y + 4*y**2 - h*y**3 = 0.
0, 1/3
Let u(q) = -3*q**2 - 163*q + 282. Let a be u(-56). Find g, given that 1/3*g**a + 0 + 0*g = 0.
0
Let r be (-6)/(-60)*((-4)/1)/(-48). Let u(z) be the third derivative of 0 + 0*z**3 - 8*z**2 + 0*z + 0*z**4 - r*z**5. Suppose u(m) = 0. Calculate m.
0
Let l be 9 + -3 - -3 - 3. Suppose l*h = 4*h + 10. Solve 5*u**4 + 40*u**4 - 14*u**3 - 27*u**h + 3*u**2 - 7*u**3 = 0 for u.
0, 1/3, 1
Let a(j) be the third derivative of -j**5/330 + 2*j**4/33 - 16*j**3/33 + 392*j**2. Factor a(o).
-2*(o - 4)**2/11
Let h = 104 + -1039/10. Let n(u) be the second derivative of -h*u**5 + 0 - 1/6*u**4 + 1/3*u**3 + 1/15*u**6 + 0*u**2 + 7*u. Let n(k) = 0. Calculate k.
-1, 0, 1
Let l(w) be the first derivative of w**3/5 + 372*w**2/5 + 46128*w/5 + 162. What is m in l(m) = 0?
-124
Let d(o) be the second derivative of -3*o**5/140 - 4*o**4/7 - 41*o**3/14 - 39*o**2/7 + 990*o. Factor d(z).
-3*(z + 1)*(z + 2)*(z + 13)/7
Let c(w) = 70*w**3 - 70*w**3 + 5*w**2 - 8*w**4 + 3. Let t(a) = -3*a**4 + 2*a**2 + 1. Let q(b) = -4*c(b) + 11*t(b). Determine h so that q(h) = 0.
-1, 1
Solve -4/9*b**3 - 248/9*b**2 - 800 - 1360/3*b = 0 for b.
-30, -2
Let p be ((-24)/(-15))/(6/(-15)). Let c(t) = 6*t**3 + 4*t**2 + 4*t - 2. Let d(s) = -s**4 + 6*s**3 + 3*s**2 + 5*s - 3. Let r(k) = p*d(k) + 6*c(k). Factor r(m).
4*m*(m + 1)**3
Let -2/7*g**5 + 0*g**4 - 68/7*g**2 + 80/7 - 24/7*g + 38/7*g**3 = 0. Calculate g.
-5, -1, 2
Suppose 4*n**3 + 11*n + 77*n**3 - 76*n - 15 + 20*n**2 - 16*n**3 - 15 + 10*n**4 = 0. Calculate n.
-6, -1, -1/2, 1
Let t(b) be the second derivative of b**6/70 - 9*b**5/7 + 225*b**4/7 + 219*b. Factor t(p).
3*p**2*(p - 30)**2/7
Let q(r) be the third derivative of r**7/210 + r**6/20 + r**5/15 - r**4/4 - 5*r**3/6 + 27*r**2 - 5*r. Determine x, given that q(x) = 0.
-5, -1, 1
Let x(b) be the first derivative of -b**3/3 - b**2/2 + 68. Let k be (4/(-2))/(0 + -1). Let c(p) = -5*p**2 - 5*p + 1. Let j(u) = k*c(u) - 9*x(u). Factor j(z).
-(z - 1)*(z + 2)
Let n(z) = -z**3 + z**2 - 2*z + 2. Let q(i) = 20*i**3 - 186*i**2 + 3564*i - 36. Let l(a) = -36*n(a) - 2*q(a). Factor l(h).
-4*h*(h - 42)**2
Factor 140*m + 48 + 27*m**2 + 24*m - 26*m**2 - 44*m**3 + 71*m**2.
-4*(m - 3)*(m + 1)*(11*m + 4)
Let m = -146 - -149. Find t such that 7*t + 5*t**4 + 4*t**m + 0*t**2 - 5*t**2 - 12*t + t**3 = 0.
-1, 0, 1
Determine v, given that -250*v**3 + 14*v**5 + 0 - 10*v**2 + 68/3*v + 670/3*v**4 = 0.
-17, -2/7, 0, 1/3, 1
Let x(f) be the second derivative of 5*f**7/42 + f**6/2 - 3*f**5/4 - 35*f**4/12 + 5*f**3 + 6*f - 1. Factor x(a).
5*a*(a - 1)**2*(a + 2)*(a + 3)
Let d(f) be the second derivative of f**6/30 + 7*f**5/20 + 4*f**4/3 + 2*f**3 - 61*f. Suppose d(c) = 0. Calculate c.
-3, -2, 0
Suppose -7*t + 8 = -3*t. Find j such that 3*j**2 - 14*j**4 + 0*j**t + 11*j**4 = 0.
-1, 0, 1
Let o(j) = 9*j**2 - 2*j - 1 - 3*j + 2*j. Let l(d) = -5*d**2 + d + 1. Let m = 31 + -36. Let f(i) = m*l(i) - 3*o(i). Find a such that f(a) = 0.
1
Let l = -29/5 - -97/15. Suppose -22 + 22 = 5*k. Factor k*z - 2/3*z**5 + 0 + 0*z**2 + 0*z**3 + l*z**4.
-2*z**4*(z - 1)/3
Let a = -6/7055 - -2828/7055. Suppose -a*p**2 - 4 - 14/5*p = 0. What is p?
-5, -2
What is t in 0 - 14/17*t**3 - 12/17*t - 2*t**2 = 0?
-2, -3/7, 0
Suppose -44/5*g - 114/5 - 2/5*g**2 = 0. Calculate g.
-19, -3
Let y(i) be the third derivative of -33*i**2 + 0*i**3 + 0*i + 3/76*i**4 + 0 + 1/1995*i**7 + 7/1140*i**6 + 1/38*i**5. What is h in y(h) = 0?
-3, -1, 0
Let o(x) be the third derivative of 7*x**5/60 + x**4/8 + x**3/3 + 6*x**2. Let j(t) = -3*t**2. Let f(i) = -6*j(i) - 3*o(i). Find y, given that f(y) = 0.
-2, -1
Let x = 28 - 28. Suppose 1 - w**2 + w - w**3 + 2 - 2 + x*w**2 = 0. Calculate w.
-1, 1
Factor -3/7 + 6*f**3 - 87/7*f**2 + 48/7*f.
3*(f - 1)**2*(14*f - 1)/7
Let n(x) be the first derivative of -x**7/21 + x**5/10 + 4*x + 1. Let a(d) be the first derivative of n(d). Let a(j) = 0. Calculate j.
-1, 0, 1
Let o(v) be the third derivative of -v**9/90720 + v**8/1680 - v**7/70 + v**6/5 - v**5/60 + 21*v**2. Let n(s) be the third derivative of o(s). Factor n(h).
-2*(h - 6)**3/3
Factor 0 + 1/3*k**3 + 20/3*k**2 + 19/3*k.
k*(k + 1)*(k + 19)/3
Find g, given that -1011*g - 132*g**2 + 5*g**4 + 1225 - 377*g - 27*g**2 + 9*g**2 + 268*g + 40*g**3 = 0.
-7,