*n + 15 - 8 - 9 - 5*n**5 + 4*n**5 + 4*n**3.
-(n - 2)*(n - 1)*(n + 1)**3
Let b(i) be the second derivative of -i**6/135 + 2*i**4/27 + i - 270. Determine r so that b(r) = 0.
-2, 0, 2
What is b in 173/2*b**2 - 173/4*b**3 + 19/4*b**4 - 59*b + b**5 + 10 = 0?
-10, 1/4, 1, 2
Factor 4 + 92/3*t - 83/3*t**2 + 17/3*t**3.
(t - 3)*(t - 2)*(17*t + 2)/3
Suppose -2*k = 2*b - 14, 1 = -k - 2*b + 3*b. Factor -4*a**2 - 2*a**k + 7*a**3 + 4*a**2 - 5*a.
5*a*(a - 1)*(a + 1)
Suppose -s = -3*s + y - 192, -4*y = s + 96. Let o = s - -676/7. Factor 0 - o*i - 2/7*i**2.
-2*i*(i + 2)/7
Suppose 2*r - 167 = -y, -4*r + 5*y + 125 = -202. Let p = -911/11 + r. Factor 8/11 + p*m**4 + 8/11*m - 6/11*m**2 - 4/11*m**3.
2*(m - 2)**2*(m + 1)**2/11
Let w(t) be the second derivative of -t**5/10 - 4*t**4 - 28*t**3 - 80*t**2 - 96*t - 2. Solve w(i) = 0 for i.
-20, -2
Factor -4/3*c - 4/3*c**2 + 40.
-4*(c - 5)*(c + 6)/3
Factor -8/11*b - 2/11*b**2 + 64/11.
-2*(b - 4)*(b + 8)/11
Let r(i) be the second derivative of i**4/4 - i**3 - 45*i**2/2 + 64*i. Determine d, given that r(d) = 0.
-3, 5
Let v(t) = -t**4 + t**2 + t - 1. Let n(y) = 5 + 0*y**2 + 2*y**5 + 4*y**3 + 2*y**2 - 13. Let p(o) = -n(o) + 6*v(o). Determine g, given that p(g) = 0.
-1, 1
Factor -5*d**3 + 12 - 3 + 5*d**4 + 5*d - 15*d**2 + 1.
5*(d - 2)*(d - 1)*(d + 1)**2
Solve 4038/11*l**3 - 18/11*l**4 + 7112/11*l - 9356/11*l**2 - 1776/11 = 0 for l.
2/3, 1, 222
Let h be (18/360)/((-9)/(-36)). Factor -1 + 4/5*c + h*c**2.
(c - 1)*(c + 5)/5
Suppose -54*u = -61*u + 224. Factor 5*h**5 - 15*h**5 - 16*h**4 - u*h**3 + 8*h**5.
-2*h**3*(h + 4)**2
Factor 112*t**2 - 30*t + 108*t**2 + 40 - 215*t**2.
5*(t - 4)*(t - 2)
Let o(m) be the second derivative of 1/6*m**6 + 13*m + 45/2*m**2 - 20*m**3 + 0 + 55/6*m**4 - 2*m**5. Let o(v) = 0. Calculate v.
1, 3
Let -1216 - 1193*g - 39*g - 320*g**2 - 31*g**3 + 27*g**3 = 0. Calculate g.
-76, -2
Factor 0*f**2 - 4*f + 1/3*f**3 + 16/3.
(f - 2)**2*(f + 4)/3
Let q(x) be the first derivative of 8*x**2 + x + 4*x**3 + x**4 + 1/10*x**5 - 2. Let t(w) be the first derivative of q(w). Suppose t(j) = 0. What is j?
-2
Determine h so that 16/7*h**3 - 16/7*h + 2 - 12/7*h**2 - 2/7*h**4 = 0.
-1, 1, 7
Let s(l) be the third derivative of -1 + 0*l + 8*l**2 - 1/70*l**7 + 0*l**5 - 1/20*l**6 + 1/112*l**8 + 0*l**4 + 0*l**3. Factor s(i).
3*i**3*(i - 2)*(i + 1)
Suppose 1/2*n**2 + 4*n + 15/2 = 0. What is n?
-5, -3
Factor -84*r**2 + 25*r**2 + 12*r**4 - 12*r**3 + 23*r**2 + 3 + 6*r + 27*r**2.
3*(r - 1)**2*(2*r + 1)**2
Suppose 14*z - 76 = 484. Suppose 36 - z = -2*g. Factor 4/3*o - o**g + 4/3.
-(o - 2)*(3*o + 2)/3
Suppose 6*w = -76*w + 13*w - 39*w. Suppose 5*i = -0*h - 3*h + 15, 2*h + 6 = 2*i. Factor 2/15*f**5 + 0*f**3 + h*f**2 + w*f + 2/15*f**4 + 0.
2*f**4*(f + 1)/15
Let g(k) = k**3 - 20*k**2 - 45*k + 25. Let a = 137 - 115. Let n be g(a). Suppose 6/5 + 2/5*w**2 + 2/5*w**n - 2*w = 0. What is w?
-3, 1
Let z(t) be the first derivative of -t**4/12 - 22*t**3/9 - 38*t**2/3 - 24*t - 64. Suppose z(x) = 0. What is x?
-18, -2
Let q(r) be the first derivative of 5 + 8*r**2 + 8*r + 1/2*r**4 + 10/3*r**3. Solve q(d) = 0 for d.
-2, -1
Suppose -31*h = -34*h + 6. Determine t, given that 12*t**2 + t**3 - 2*t**3 + 7*t**2 - 6*t - 12*t**h = 0.
0, 1, 6
Let a(q) be the second derivative of q**5/9 + q**4/36 + q**2 + q. Let c(u) be the first derivative of a(u). Suppose c(r) = 0. Calculate r.
-1/10, 0
Let p = 64/63 + -4/9. Let c = -149 - -1044/7. Factor 6/7*a**3 + 12/7*a + p + c*a**4 + 13/7*a**2.
(a + 1)**2*(a + 2)**2/7
Suppose 22*n = 21*n + 1. Let w(x) = x**2 + x + 1. Let z(p) = -5*p**2 + 5*p - 11. Let g(k) = n*z(k) + 3*w(k). Factor g(l).
-2*(l - 2)**2
Let i(w) = -9*w**2 - 3*w - 18. Let y(v) = 11*v**2 + 2*v + 19. Let g(k) = -5*i(k) - 4*y(k). Let j be g(-4). What is u in 125/2 + 5/2*u**j - 25*u = 0?
5
Determine o so that 19/3*o**2 - 1/3*o**3 + 27 - 33*o = 0.
1, 9
Let l(y) be the first derivative of 5*y**4/12 + 377*y**3/9 + 25*y**2 + 174. Find h such that l(h) = 0.
-75, -2/5, 0
Let z = -1653 - -1656. Let i(t) be the first derivative of 4/9*t**2 - 16/45*t**5 + 16/27*t**3 + 0*t - 1/9*t**6 - 1/18*t**4 + z. Determine q so that i(q) = 0.
-2, -1, -2/3, 0, 1
Let f(p) = 34*p**2 - 73*p + 57. Let b(y) = -8*y**2 + 18*y - 14. Let l(t) = -9*b(t) - 2*f(t). Let l(g) = 0. What is g?
1, 3
Suppose -4*p - 3*y = -11, y - 11 = -5*p - 0*y. Suppose u - 5 + 1 = 0. Factor z**3 + 6*z**3 - z**2 - u*z**3 + 4*z**p.
3*z**2*(z + 1)
Let m = -90 + 90. Suppose 4*j + m*j - 12 = 0. Suppose 49/4*y**j - 13*y - 2 - 35/2*y**2 = 0. What is y?
-2/7, 2
Factor -32/7*g + 0 + 2*g**3 - 2/7*g**4 + 20/7*g**2.
-2*g*(g - 8)*(g - 1)*(g + 2)/7
Let b(p) be the third derivative of -p**6/1200 + p**5/24 - 7*p**4/10 + 12*p**3/5 - p**2 - 10*p. Determine y so that b(y) = 0.
1, 12
Suppose 0 = 45*h - 12929 + 12794. Find c such that 2/5*c**h + 0*c**2 - 2/5*c**5 + 0*c**4 + 0 + 0*c = 0.
-1, 0, 1
Let n = 219 + -214. Let x(u) be the third derivative of -u**2 + 1/36*u**4 - 1/180*u**6 + 2/9*u**3 + 1/315*u**7 + 0 + 0*u - 1/30*u**n. Factor x(c).
2*(c - 2)*(c - 1)*(c + 1)**2/3
Find g, given that 5/3*g**2 - 8/3*g + 1/3*g**3 - 16 = 0.
-4, 3
Let f be (-168)/(-70) + (-4)/10. Factor 10*v - 6*v - 5*v**f + v**2.
-4*v*(v - 1)
What is k in 3/5*k**3 - 4/5*k**2 - 12/5*k + 0 + 1/5*k**4 = 0?
-3, -2, 0, 2
Determine d so that 18 - 1/6*d**4 + 3/2*d**2 + 5/6*d**3 - 27/2*d = 0.
-4, 3
Let -5*b**3 - 6*b**4 + 28*b**4 + 84*b + 148*b**2 - 2*b**4 - 8*b**4 + 81*b**3 = 0. What is b?
-3, -7/3, -1, 0
Let g(w) be the third derivative of 4/3*w**4 - 2/105*w**7 + 2/5*w**5 + 0*w + 21*w**2 + 0*w**6 + 2*w**3 + 0. Factor g(f).
-4*(f - 3)*(f + 1)**3
Let l(s) be the third derivative of -s**8/110880 - s**7/5544 + s**6/660 + 4*s**5/15 + 22*s**2. Let b(q) be the third derivative of l(q). Solve b(j) = 0 for j.
-6, 1
Suppose -s - 9*s = -70. Factor 6 - 2 - 5*k**2 - 15*k - 3*k**3 - 10 - s*k**2.
-3*(k + 1)**2*(k + 2)
Let f(k) be the third derivative of k**5/40 - 13*k**4/8 + 25*k**3/4 + 25*k**2. Factor f(c).
3*(c - 25)*(c - 1)/2
Solve 0 - 11/8*i**3 + 0*i - 2*i**4 - 1/4*i**2 - 7/8*i**5 = 0.
-1, -2/7, 0
Let k(w) = -w**2 + 1. Let q(x) = -x**3 + 11*x**2 - 11*x + 1. Let l(j) = -j**2 - 4*j + 9. Let d be l(-5). Let n(m) = d*k(m) + q(m). Factor n(v).
-(v - 5)*(v - 1)**2
Let v(i) be the third derivative of -i**8/560 + i**7/56 - i**6/20 - i**5/10 + i**4 + 2*i**3/3 - 7*i**2. Let h(p) be the first derivative of v(p). Factor h(w).
-3*(w - 2)**3*(w + 1)
Let b be (-2)/(-26)*2 + 0/(3 + -11). Suppose 4/13*g - b*g**2 + 0 = 0. What is g?
0, 2
Let f(z) be the third derivative of 1/112*z**8 - 1/8*z**4 + 1/35*z**7 + 0*z**3 - 16*z**2 + 0*z**6 + 0 - 1/10*z**5 + 0*z. Suppose f(l) = 0. Calculate l.
-1, 0, 1
Let j(b) be the second derivative of 3*b**5/14 + 61*b**4/28 + 48*b**3/7 + 27*b**2/14 - 271*b. Suppose j(p) = 0. What is p?
-3, -1/10
Let x(a) = 0 + a + 3 - 4 + 2. Let t be x(3). Let 0*j**4 + 3*j**5 - 2*j**t + 0*j**5 - j**5 - 4*j**3 = 0. What is j?
-1, 0, 2
Let g(q) = 5 - q**2 - 2 - 4*q - 5*q. Let k be g(-9). What is s in -s + 0*s**k + 2*s**3 + 2*s**4 - s**4 - s**3 - s**2 = 0?
-1, 0, 1
Let g be 3/(-1) - 390*(-18)/2364. Let p = g + 1618/1379. Suppose -2/7*v**2 + 8/7*v - p = 0. What is v?
2
Determine m, given that -246*m**2 + 6*m**4 - m**4 + 143*m**2 - 232*m**2 - 345*m - 50*m**3 - 235*m - 300 = 0.
-2, -1, 15
Let y be 6/(-4)*158/(-1422). Factor 1/3 - 1/3*p**2 - 1/6*p + y*p**3.
(p - 2)*(p - 1)*(p + 1)/6
Let k(a) be the second derivative of -a**5/130 - 6*a**4/13 + a**3/39 + 36*a**2/13 + 784*a - 2. Let k(y) = 0. Calculate y.
-36, -1, 1
Let j(v) be the second derivative of v**6/255 - 4*v**5/85 + 10*v**4/51 - 16*v**3/51 - 6*v - 2. Factor j(h).
2*h*(h - 4)*(h - 2)**2/17
Suppose 2*t - 4*u = -70, 2*u + 3*u - 155 = 5*t. Let p = t + 30. Let 0*v**p + 0*v + 0*v**2 + 0 + 0*v**4 - 3/2*v**5 = 0. What is v?
0
Let i(m) be the first derivative of m**5/240 - m**4/32 - 9*m**2/2 + 14. Let z(w) be the second derivative of i(w). Factor z(b).
b*(b - 3)/4
Let m(a) be the third derivative of -1/30*a**5 + 0 - 4*a**2 + 0*a - 1/180*a**6 + 1/6*a**3 + 0*a**4. Let s(n) be the first derivative of m(n). Factor s(l).
-2*l*(l + 2)
Let j = -31504 + 31508. Solve 1/4*s**3 - 1/2*s**2 + 0 + 0*s + 1/4*s**j = 0 for s.
-2, 0, 1
Let s be (10 - -14)/(-24) + 4. Let 6/11*m**2 + 4/11*m**s - 16/11*m - 2/11*m**4 + 8/11 = 0. What is m?
-2, 1, 2
Let a(z) be the first deriv