-11*s + 6/17*s**2 + 0 + 1/102*s**4 + 7/51*s**3. Solve i(k) = 0.
-6, -1
Let r(q) be the second derivative of -q**8/11200 + q**7/4200 - 7*q**4/12 - 5*q. Let s(w) be the third derivative of r(w). Factor s(h).
-3*h**2*(h - 1)/5
Let p(w) = -w**2 - 16*w + 66. Let j(c) be the first derivative of -c**3 - 16*c**2 + 133*c + 16. Let s(o) = 2*j(o) - 5*p(o). Factor s(v).
-(v - 8)**2
Let q = -77/24 + 413/120. Let l(f) be the first derivative of q*f**3 - 9/20*f**2 + 12 + 1/5*f. Factor l(g).
(g - 1)*(7*g - 2)/10
Suppose -14*p + 28 = -84. Factor -4*t**5 + 16*t**3 - 3 + 4*t - 16*t + p*t**2 - 5.
-4*(t - 2)*(t - 1)*(t + 1)**3
Let g(z) = 607*z**2 + 555*z - 59. Let j(d) = 202*d**2 + 185*d - 19. Let k(u) = -2*g(u) + 7*j(u). Solve k(x) = 0 for x.
-1, 3/40
Let c(y) be the first derivative of -1/5*y**3 + 6 - 3/5*y**2 - 3/5*y. Factor c(z).
-3*(z + 1)**2/5
Let b(a) be the third derivative of a**7/1995 + a**6/1140 - 7*a**5/570 - a**4/228 + 2*a**3/19 + 88*a**2 + 2. Suppose b(v) = 0. Calculate v.
-3, -1, 1, 2
Let j(v) be the first derivative of v**5/5 - 7*v**4/12 + 2*v**3/9 - 157. Factor j(u).
u**2*(u - 2)*(3*u - 1)/3
Suppose 2*g + 6 = 0, -g = -5*b + 20 + 23. Determine j so that -1/2 + 4*j - b*j**2 = 0.
1/4
Let t(i) be the second derivative of -3/2*i**2 + 0 - 1/36*i**4 + 1/3*i**3 + 16*i. Factor t(h).
-(h - 3)**2/3
Factor -8/3*p + 0 - 7/6*p**4 + 20/3*p**3 - 22/3*p**2.
-p*(p - 4)*(p - 2)*(7*p + 2)/6
Let r(b) be the third derivative of b**8/20160 + b**7/1680 + 11*b**5/60 - 14*b**2. Let c(u) be the third derivative of r(u). Factor c(a).
a*(a + 3)
Let -8*y**2 - 2*y**3 + 1/3*y**4 - 26/3*y - 3 = 0. What is y?
-1, 9
Suppose 2*h - 5 = -2*h - 3*x, x - 3 = -2*h. Suppose 192 = -h*y + 5*y. Factor -y*z**2 + 67*z**2 - 2*z**4 - z**4.
-3*z**2*(z - 1)*(z + 1)
Suppose -4*f - 7*h + 3*h = 8, -2*f + 5*h + 31 = 0. What is o in 5*o**f - 12*o - o**4 - o**3 + 12*o**3 - 8*o**2 - 4*o**5 + 9*o**4 = 0?
-1, 0, 1, 3
Let j(g) be the first derivative of -5*g**6/6 + 5*g**5 - 10*g**4 + 20*g**3/3 + 18. Factor j(x).
-5*x**2*(x - 2)**2*(x - 1)
Let t(w) be the first derivative of 3 - 1/3*w**3 - 4*w**2 + 0*w - 1/6*w**4 - 1/30*w**5. Let v(z) be the second derivative of t(z). What is a in v(a) = 0?
-1
Let a be 4768/(-20)*(-1)/60 + -4. Let x = 83/300 + a. Find z, given that -1/4*z**2 + 1/2*z - x = 0.
1
Let g be ((-45)/(-10))/(1/(-2)). Let o = 12 + g. Let -50/9*d**o - 40/9*d**2 + 0 - 8/9*d = 0. What is d?
-2/5, 0
Suppose 0 = r + 3*z + 4 - 19, -2*z = -3*r + 1. Factor -42*p**3 + 43*p**r + 1 + 3*p + p - p + 3*p**2.
(p + 1)**3
Solve -40/9 + 20/9*i**3 - 22/3*i**2 - 104/9*i + 22/9*i**4 = 0.
-1, -10/11, 2
Let s = -190/59 + 819/236. Factor -d**2 - 3/2 - 11/4*d + s*d**3.
(d - 6)*(d + 1)**2/4
Let y = -1309 - -1309. Let t(c) be the second derivative of 0*c**2 - 10*c + 0*c**3 + y*c**5 + 1/225*c**6 - 1/90*c**4 + 0. Factor t(q).
2*q**2*(q - 1)*(q + 1)/15
Suppose n**2 - 152 + 55 + 67 - 7*n = 0. What is n?
-3, 10
Suppose -3*k - k + 8 = 0. Let p(n) = -n**3 - 11*n**2 - 2*n - 20. Let w be p(-11). Determine b, given that w*b**2 + 0*b + 6*b - 4*b - b**k = 0.
-2, 0
Let s be (-36)/(-14) + (-31 - -29). Let a(z) be the first derivative of -2/7*z**3 - 2/7*z + 6 + s*z**2. Factor a(r).
-2*(r - 1)*(3*r - 1)/7
Suppose -4 = -5*n + 1. Suppose 4*i + 5*s - 1 = 0, 0 = -2*i - 3*s - 2 + n. Factor 2*t + 6 - 5*t + 15*t**3 + i*t + 2*t - 24*t**2.
3*(t - 1)**2*(5*t + 2)
Suppose -w = 3*g - 65 - 111, 0 = -3*g + w + 184. Factor 3*r**3 - 240*r - 500 - g*r**2 + 180 - 2*r**3 - 6*r**3.
-5*(r + 4)**3
Let n = 39526/3 - 13174. Suppose -32/3*q**3 - 22/3*q + n + 8/3*q**4 + 14*q**2 = 0. What is q?
1/2, 1, 2
Factor 4 + 8*y + 64*y**2 - 56*y**2 - 6*y + 8*y**3 - 14*y - 12*y**4 + 4*y**5.
4*(y - 1)**4*(y + 1)
What is n in 0*n**2 + 0*n + 0*n**3 + 0 - 3/5*n**5 + 3*n**4 = 0?
0, 5
Let c(u) be the third derivative of -u**6/1800 - u**5/120 - u**4/30 - u**3/3 - 6*u**2. Let r(v) be the first derivative of c(v). Determine d so that r(d) = 0.
-4, -1
Factor 122*o + 47*o**3 + 11*o**4 + 60*o**2 - 26*o + 7*o**2 + 30*o**2 + 36 + o**5.
(o + 1)*(o + 2)**2*(o + 3)**2
Let s(z) = 4*z**2 + 29*z + 6. Let w be s(-7). Let p be (-33)/99 - (w - 0). Find a, given that 5/6*a**3 + 0 + 0*a + 1/6*a**2 + p*a**4 = 0.
-1, -1/4, 0
Let p = -5794 - -2835. Let d = p - -26729/9. Factor -28/3*r - d*r**2 - 2.
-2*(7*r + 3)**2/9
Determine q, given that -236/3*q**2 + 1200 - 1120*q - 4/3*q**3 = 0.
-30, 1
Suppose o + 297 = 3*r, r = 4*o - 0*o + 99. Factor -70*n + 35*n**2 - 5*n**3 - 29 - 30 + r.
-5*(n - 4)*(n - 2)*(n - 1)
Let i(g) = 3*g**2 - 22*g + 21. Let y(u) = 13*u**2 - 89*u + 85. Let r(o) = 9*i(o) - 2*y(o). What is a in r(a) = 0?
1, 19
Let p(m) be the second derivative of 0*m**3 + 1/165*m**6 + 0 - 1/33*m**4 + 0*m**2 + 9*m + 1/110*m**5. Factor p(o).
2*o**2*(o - 1)*(o + 2)/11
Factor 2/7*j**2 + 26/7*j - 4.
2*(j - 1)*(j + 14)/7
Let t(c) be the second derivative of -1/18*c**4 + 0 + 9*c + 4/3*c**2 + 1/30*c**5 - 4/9*c**3. Find l, given that t(l) = 0.
-2, 1, 2
Let r be (-3)/(-4) + (-9232)/(-9632). Let x = r - -1/172. Factor 12/7*g**4 + 4/7*g**2 + x*g**3 + 0*g + 4/7*g**5 + 0.
4*g**2*(g + 1)**3/7
Let l(n) be the first derivative of -n**6/30 + n**5/5 - 3*n**2/2 + 8. Let i(h) be the second derivative of l(h). Suppose i(v) = 0. What is v?
0, 3
Let d be 21/7 - (-3 + 4/2). Let t(k) = 3*k**2 - k. Let w(l) = -16*l**2 + 4*l + 1. Let x(q) = d*w(q) + 22*t(q). Suppose x(f) = 0. Calculate f.
1, 2
Let l(g) = g**2 + 19*g + 34. Let q be l(-20). Factor 15 - 3 + 8 - 26*p - 45*p**2 - q*p.
-5*(p + 2)*(9*p - 2)
Let a = 18 + -11. Suppose -3*h + 11 = -a. What is p in p - 10*p - p**3 + 1 - 1 - h*p**2 = 0?
-3, 0
Let z = -62 + 5. Let t = -54 - z. Find s, given that 0 + 3/4*s**2 + 3/4*s**4 + 3/2*s**t + 0*s = 0.
-1, 0
Let k be -8 + (8 - 6) + 3. Let o be k - ((-9)/3 + -2). Factor 8/15*c + 4/5*c**o + 2/15 + 8/15*c**3 + 2/15*c**4.
2*(c + 1)**4/15
Let t(o) be the first derivative of 5*o**3/3 + 100*o**2 + 2000*o + 374. Factor t(s).
5*(s + 20)**2
Let d = 4109 + -16435/4. Suppose 0*y - 1/2*y**4 + 1/4*y**3 - d*y**5 + 0 + 1/2*y**2 = 0. Calculate y.
-2, -1, 0, 1
Let q(i) = 84*i**2 - 212*i - 300. Let u(j) = -4*j**2 + 4*j + 1. Let p(o) = q(o) + 20*u(o). Determine r, given that p(r) = 0.
-2, 35
Let s be (-9)/(-6) - 2/4. Suppose 4*q = 6 + 10. Determine p so that s + 3*p**2 - 13 + 16*p - 6*p**2 - q*p = 0.
2
Let u(n) be the first derivative of -2*n**6/15 + 36*n**5/25 - 11*n**4/5 - 116*n**3/15 + 24*n**2 - 112*n/5 + 110. Determine q, given that u(q) = 0.
-2, 1, 2, 7
Let k be (-9)/6*8/(-6). Let o(q) = 1. Suppose 5*h + 5*b = 20, -7*b + 20 = -3*b. Let l(w) = -w**2 + w + 2. Let s(r) = h*l(r) + k*o(r). Find x such that s(x) = 0.
0, 1
Factor 0*c + 1/6*c**3 + 0 - 1/2*c**2.
c**2*(c - 3)/6
Let a(f) = -f**3 + 23*f**2 - 43*f + 23. Let z be a(21). Let l(t) be the first derivative of -4 - 4/11*t + 2/33*t**3 + 1/11*t**z. Factor l(w).
2*(w - 1)*(w + 2)/11
Find d, given that -10*d + 13*d**3 - d**5 - 5*d**4 + 5*d**2 - 4*d**5 + 34*d**3 - 32*d**3 = 0.
-2, -1, 0, 1
Let t(y) = 9*y**4 + 8*y**2 + 17*y. Let u(o) = -3*o**4 - 3*o**2 - 6*o. Let c = 42 + -36. Let v(m) = c*t(m) + 17*u(m). Find f, given that v(f) = 0.
-1, 0, 1
Let f(d) be the second derivative of d**5/120 + 3*d**4/16 + 19*d**2/2 + 29*d. Let p(b) be the first derivative of f(b). Let p(g) = 0. What is g?
-9, 0
Suppose -2*c = 6*c + 79*c. Factor 4/9*m - 2/9*m**2 - 2/9*m**3 + c.
-2*m*(m - 1)*(m + 2)/9
Let r be ((-788)/80 - -9) + (-5)/(-4). Let c(j) be the first derivative of 0*j - r*j**4 - 2/25*j**5 - 2/5*j**2 - 3 - 2/3*j**3. Let c(b) = 0. Calculate b.
-2, -1, 0
Let c(h) be the second derivative of h**4/9 - 2*h**3/9 - 4*h**2/3 - 74*h. Let c(d) = 0. What is d?
-1, 2
Let h(z) be the second derivative of z**8/1680 + z**4 - 3*z. Let o(p) be the third derivative of h(p). Factor o(q).
4*q**3
What is h in 4*h**3 + 28*h**2 - 4*h**3 + 54*h**3 - 56*h + 16*h**4 - 48 + 4*h**4 + 0*h**4 + 2*h**5 = 0?
-6, -2, -1, 1
Let s(i) be the third derivative of -i**8/181440 + i**7/22680 + i**6/2160 - 19*i**5/60 + 9*i**2. Let y(d) be the third derivative of s(d). Solve y(p) = 0.
-1, 3
Let g(x) = -3*x**2 - 36*x - 28. Let l be g(34). Let u be 1/(-5) - (9 + l/350). Factor -18/7*b + u*b**2 + 2/7*b**4 - 2*b**3 + 0.
2*b*(b - 3)**2*(b - 1)/7
Let y be ((-3)/(-9))/(5/30). Suppose 3*h + m = y*h + 8, -3*h + 3*m = 6. Find v such that 3*v**2 - v**3 + 0 - h - 1 = 0.
-1, 2
Let h