**5 - d**2 - l*d**3 + 3/175*d**7 + 0 + 1/25*d**6 + 0*d - 1/5*d**4. Let k(v) = 0. What is v?
-1, -2/3, 1
Let h(i) be the first derivative of i**8/112 + 3*i**7/70 + 2*i**2 + 21. Let a(b) be the second derivative of h(b). Determine l so that a(l) = 0.
-3, 0
Let o be (-3)/(8/(2336/(-12))). Let d = o + -71. Factor 3/2*j**3 + 21/4*j + 3/2 + 21/4*j**d.
3*(j + 1)*(j + 2)*(2*j + 1)/4
Let j(h) be the third derivative of -h**7/490 + 13*h**6/140 - 12*h**5/7 + 16*h**4 - 512*h**3/7 + h**2 + 160. Factor j(m).
-3*(m - 8)**3*(m - 2)/7
Factor -2/13*c**2 - 14/13*c - 20/13.
-2*(c + 2)*(c + 5)/13
Let s be 169/39 + 4/6 + -2. Suppose -5 = -3*p - 5*u - 21, 4*u + 23 = p. Suppose -3*v**2 - 9 + 0*v**2 - p*v**s - 11*v + 26*v = 0. Calculate v.
-3, 1
Factor 3*w - 2*w**2 - 13 + 9*w + 2*w + 29.
-2*(w - 8)*(w + 1)
Let j be 9*17/(-765)*0. Factor -4/5*u**2 + j - 4/5*u.
-4*u*(u + 1)/5
Let y(h) be the third derivative of 0*h**4 + 0*h**3 + 7*h**2 + 0*h - 1/540*h**6 - 1/90*h**5 + 0. Find d, given that y(d) = 0.
-3, 0
Let j(f) be the first derivative of -5*f**4/4 + 2*f**3 - f**2/2 - 40. Find q such that j(q) = 0.
0, 1/5, 1
Let m(r) be the first derivative of -r**4/3 - 52*r**3/9 - 80*r**2/3 - 48*r - 121. Determine l so that m(l) = 0.
-9, -2
Solve 0 - 7/5*b**5 - 13*b**3 + 12/5*b + 8*b**4 + 4*b**2 = 0.
-2/7, 0, 1, 2, 3
Let i = -26667 - -26669. Find u, given that 5/8*u**i - 2*u + 3/8 = 0.
1/5, 3
Let c(k) be the third derivative of -k**7/420 - k**6/48 + 13*k**5/120 - 7*k**4/48 - 199*k**2. Factor c(a).
-a*(a - 1)**2*(a + 7)/2
Let h(q) = 8*q**2 - 267*q + 3648. Let a(t) = -7*t**2 + 268*t - 3647. Let i(b) = 3*a(b) + 2*h(b). Suppose i(r) = 0. What is r?
27
Let s(x) be the first derivative of 10*x**2 + 8*x + 16/3*x**3 + x**4 + 22. Factor s(a).
4*(a + 1)**2*(a + 2)
Let c(j) be the first derivative of 2*j**5/5 - 3*j**4/2 - 10*j**3 - 17*j**2 - 12*j - 226. Factor c(d).
2*(d - 6)*(d + 1)**3
Let w(v) be the third derivative of -1/15*v**6 + 1/336*v**8 + 0*v**3 + 0 - 1/105*v**7 + 0*v + 0*v**5 + 0*v**4 + v**2. Solve w(f) = 0.
-2, 0, 4
Let r = 9 + -5. Let g be -1 + -2 + 756/168. Let 0*l + 3*l**3 + 0 - 3/2*l**r - g*l**2 = 0. What is l?
0, 1
Let s(n) be the third derivative of -n**5/12 - 15*n**4/8 - 35*n**3/3 + 17*n**2. Let s(g) = 0. Calculate g.
-7, -2
Factor 48/7 + 2/7*t**2 - 50/7*t.
2*(t - 24)*(t - 1)/7
Let q(c) be the second derivative of 0*c**3 - 2/3*c**4 - 3/5*c**5 - 28*c - 2/15*c**6 + 0*c**2 + 0. Factor q(p).
-4*p**2*(p + 1)*(p + 2)
Let j(g) be the second derivative of -g**4/48 + 2*g**3/3 + 17*g**2/8 + 71*g. Solve j(i) = 0.
-1, 17
Factor -9 - m**5 + 4*m**4 - 49*m**3 + 6*m**4 - 32*m**4 - 58*m - 7 + 9*m**4 - 79*m**2.
-(m + 1)**3*(m + 2)*(m + 8)
Let v(h) be the first derivative of 2*h**2 + 7/12*h**4 - 8/3*h**3 + h + 6. Let b(j) be the first derivative of v(j). Determine s so that b(s) = 0.
2/7, 2
Let g(l) be the second derivative of -l**4/66 + 14*l**3/33 - 24*l**2/11 - 46*l. Suppose g(h) = 0. What is h?
2, 12
Let 2/9*u**4 + 0 - 20/3*u**3 - 64/9*u - 14*u**2 = 0. What is u?
-1, 0, 32
Solve -4 + 16/3*k - k**2 - 1/3*k**3 = 0.
-6, 1, 2
Find s, given that -4/3*s**2 + 4*s + 40/3 = 0.
-2, 5
Let g = 3/2833 + 5651/14165. Factor 1/5*j**2 + 1/5 + g*j.
(j + 1)**2/5
Determine r, given that 1/6*r**4 - 224/3 + 136/3*r - 5/6*r**3 - 6*r**2 = 0.
-7, 4
Let i(x) be the third derivative of -x**7/70 - x**6/10 - x**5/10 + x**4/2 + 3*x**3/2 - x**2 - 2*x. Factor i(m).
-3*(m - 1)*(m + 1)**2*(m + 3)
Let u(z) = z**3 + 3*z**2 - 2*z - 4. Let a be u(-3). Let c be 3/(-5)*30/(-81). Factor -c*t**a - 4/9*t - 2/9.
-2*(t + 1)**2/9
Let j(v) be the second derivative of 2*v**7/21 - 14*v**6/3 + 96*v**5/5 + 4*v**4/3 - 256*v**3/3 + 278*v. Solve j(y) = 0.
-1, 0, 2, 32
Let x = -83292/35 + 2380. Let p(i) be the first derivative of -1/21*i**6 - 1/7*i**2 + 0*i - 2 - 3/7*i**4 - 8/21*i**3 - x*i**5. Solve p(z) = 0 for z.
-1, 0
Suppose -192 - 316*n**2 - 1792/3*n - 10/3*n**4 - 58*n**3 = 0. What is n?
-9, -4, -2/5
Let b = 187 + -208. Let p be ((-7)/b)/((-2)/(-4)). Suppose -4/9*z + 2/9*z**2 - p = 0. Calculate z.
-1, 3
Let n(k) = -6*k**3 + 50*k**2 - 15*k - 6. Let w be n(8). Factor 0 - 4/3*v**3 + 0*v**w + 0*v + 4/3*v**4.
4*v**3*(v - 1)/3
Suppose 0 = 5*w - 10*w - 20. Let o be 4/5*((-22)/w + -3). Suppose -3/5*g**o - 3/5 - 6/5*g = 0. Calculate g.
-1
Find j, given that 104/9*j + 22/9*j**3 - 76/9*j**2 - 16/3 - 2/9*j**4 = 0.
1, 2, 6
Let o = 15497/132000 - 9/4000. Let a = o + 1/15. Factor 2/11*p**3 + a - 2/11*p**2 - 2/11*p.
2*(p - 1)**2*(p + 1)/11
Factor 200*v**4 - 60*v**3 - 96/5 - 656/5*v - 264*v**2.
4*(2*v - 3)*(5*v + 2)**3/5
Suppose 2*n - 31 = 1. Factor n*h**2 + 7*h + 4*h**2 + h + 12*h**3 + 0*h.
4*h*(h + 1)*(3*h + 2)
Let w = 2/185 - -153/2960. Let u(p) be the third derivative of -3/40*p**5 + 0*p + 0 + 1/140*p**7 - w*p**4 - 13*p**2 + 1/6*p**3 - 1/240*p**6. Solve u(o) = 0.
-1, 1/3, 2
Let i(w) be the second derivative of -15*w + 1/3*w**3 + 0 + 3/2*w**2 - 1/12*w**4. Determine t, given that i(t) = 0.
-1, 3
Let d(c) be the first derivative of -c**4/78 - c**3/39 + 6*c**2/13 - 8*c - 42. Let a(g) be the first derivative of d(g). Factor a(x).
-2*(x - 2)*(x + 3)/13
Let z be (12/(-9))/((-6)/9). Let -10*r**2 - 6 + 15*r + 5*r**3 - 2*r**3 - 2*r**z = 0. Calculate r.
1, 2
Let y(o) be the third derivative of o**7/735 + o**6/70 - 11*o**4/42 + 5*o**3/7 - 74*o**2. Determine s, given that y(s) = 0.
-5, -3, 1
Let r(z) be the second derivative of 6/5*z**5 + 23/3*z**4 + 0 + 1/15*z**6 + 20*z**3 - 31*z + 25*z**2. Factor r(k).
2*(k + 1)**2*(k + 5)**2
Let j be (25 + -31)*2/6. Let x be 224/105 + j + (-2)/(-10). Determine y so that 1/6*y + 1/6*y**3 + 0 + x*y**2 = 0.
-1, 0
Suppose -4*l - 5*u + 20 = 0, 216*u - 213*u = 12. Solve 46/9*k**3 - 44/3*k**2 - 2/9*k**5 + 136/9*k + l*k**4 - 16/3 = 0.
-6, 1, 2
Suppose -96*w = -30*w. Factor 2/5*i**4 + w - 2/5*i**2 + 0*i + 2/5*i**3 - 2/5*i**5.
-2*i**2*(i - 1)**2*(i + 1)/5
Let h(n) = 20*n**4 + 44*n**3 - 22*n**2 - 444*n + 438. Let x(v) = v**4 - v**3 - 2*v - 1. Let g(m) = -h(m) + 12*x(m). Factor g(d).
-2*(d + 5)**2*(2*d - 3)**2
Let a = -10939/3 - -3699. Let n = a - 52. Find k, given that 2/3*k**2 - 1/3*k - n + 1/3*k**3 = 0.
-2, -1, 1
Let q be 52/70 + (38/133)/((-20)/(-28)). Let d be 6/2 - 2 - -3. Factor 0*c - 4*c**5 + 20/7*c**d + 0 + q*c**3 + 0*c**2.
-4*c**3*(c - 1)*(7*c + 2)/7
Suppose -2*d + 4 = 12, 5*f = 3*d + 102. Let -12*p**4 + f*p**4 - p**5 + 0*p**5 - 14*p**4 - 16*p**3 = 0. What is p?
-4, 0
Factor 2 + 3/5*j - 1/5*j**2.
-(j - 5)*(j + 2)/5
Let y(u) = 2*u**2 + 25*u - 195. Let x be y(-18). Find h such that -5/3*h + 4/3*h**2 - 1/3*h**x + 2/3 = 0.
1, 2
Suppose -122 + 146 - 199*v + 32*v**2 + 147*v - 4*v**3 = 0. Calculate v.
1, 6
Let u(q) be the second derivative of 2*q**6/15 - 23*q**5/5 - 103*q**4/3 - 266*q**3/3 - 108*q**2 - 4*q - 73. Determine h so that u(h) = 0.
-2, -1, 27
Factor -3*f**4 + 0*f + 0 - 3/8*f**5 - 39/8*f**3 - 9/4*f**2.
-3*f**2*(f + 1)**2*(f + 6)/8
Let i be (130/12)/(8/(96/666)). Let o = 1/37 + i. Factor o*u**2 + 2/9 - 4/9*u.
2*(u - 1)**2/9
Factor 19 + 13*o - 5*o**2 + 38 + 0 + 2*o**2 + 41*o.
-3*(o - 19)*(o + 1)
Let k(v) = v**3 - 9*v**2 + 10*v - 12. Let o be k(8). Factor -2*t**3 + 3*t**3 - t**5 - 3*t**4 + 4*t**o - t**2.
-t**2*(t - 1)**2*(t + 1)
Determine m, given that -50/3*m + 106/3*m**2 - 10*m**3 + 2 = 0.
1/5, 1/3, 3
Let x(o) = 3*o**3 + 9*o**2 + 6*o - 6. Let b(c) = c + 1. Let u(l) = 6*b(l) - x(l). Find k, given that u(k) = 0.
-2, 1
Let h(u) be the third derivative of u**5/60 + u**4/8 + u**3/3 + u**2 + 16*u. Factor h(d).
(d + 1)*(d + 2)
Let 6*y + 1/3*y**3 + 0 - 19/3*y**2 = 0. What is y?
0, 1, 18
Let r(a) = -a**2 + 11*a - 6. Let s be r(10). Factor 2*w**2 - 12*w**5 - w**4 + 10*w**5 - w**s + 2*w**3.
-2*w**2*(w - 1)*(w + 1)**2
Let v(l) be the first derivative of -l**3/3 - 85*l**2 - 7225*l - 627. Determine q so that v(q) = 0.
-85
Let t = -374 - -1497/4. Let f(v) be the second derivative of -9/20*v**5 + 6*v + 0 - 1/14*v**7 - 3/10*v**6 + 0*v**3 - t*v**4 + 0*v**2. Factor f(j).
-3*j**2*(j + 1)**3
Solve 3*k**5 + 5*k**4 - 4 - 4*k**5 - 3*k**3 - 4*k**3 + 1852*k**2 + 8*k - 1853*k**2 = 0.
-1, 1, 2
Let n(h) = h - 2. Let r(y) = -y**2 - 3*y + 4. Let p be r(-3). Let j be n(p). Determine u, given that -3*u**j + 0*u**2 + 2*u**2 = 0.
0
Let a(t) be the second derivative of 0*t**2 + 0*t**5 - 1/36*t**4 + 1/90*t**6 + 0 + 1/252*t**7 - 9*t - 1/36*t**3. Determine y so tha