2*a**2 - 16*a + 42. Let l(v) = v**2 + v + 1. Let i(g) = b(g) - l(g). Let r(f) = 8*f - 1 - 7*f - f + f. Let w(x) = 2*i(x) + 10*r(x). Factor w(z).
2*(z - 6)**2
Let a be 10 - (91/(-65))/(9/(-45)). Solve 24/5 - 8/5*n**2 - 4*n + 4/5*n**a = 0 for n.
-2, 1, 3
Suppose 7*v - 9*v = 5*y - 231, 7*v = -2*y + 886. Let f(o) be the second derivative of 0 + 1/3*o**4 - o + v*o**2 - 32/3*o**3. Determine g so that f(g) = 0.
8
Let i(c) = -3*c**2 + 28*c + 15. Let r(t) = 17*t**2 - 140*t - 69. Let x(z) = -33*i(z) - 6*r(z). Factor x(l).
-3*(l + 1)*(l + 27)
Let u(j) be the first derivative of 50 + 1/21*j**6 + 6/35*j**5 + 4/7*j**2 + 0*j - 2/7*j**3 - 5/14*j**4. Solve u(y) = 0 for y.
-4, -1, 0, 1
Determine o, given that 0 - 8*o**3 + 2/5*o**4 + 0*o - 138/5*o**2 = 0.
-3, 0, 23
Let b(y) = -2*y**2 - 39*y - 82. Let d be ((-68)/(-10))/((-70)/175). Let p be b(d). Find j such that 4/11 + 117/11*j**2 - 81/11*j**p - 40/11*j = 0.
2/9, 1
Let s be 3 + 8/(-4) + 45430/3850. Let -54925 - 624*r**2 + 10140*r + s*r**3 = 0. Calculate r.
65/4
Suppose -3*c + 0*c + 75 = 22*c. Let b(f) be the first derivative of 4/25*f**5 + 0*f**4 + 3 - 4/15*f**c - 1/5*f**2 + 1/15*f**6 + 0*f. Solve b(r) = 0.
-1, 0, 1
Let l(w) be the first derivative of w**4 - 752*w**3/3 + 2862. Factor l(y).
4*y**2*(y - 188)
Let k(l) be the first derivative of -1458*l**2 + 0*l - 26 - 4/5*l**5 - 324*l**3 - 27*l**4. Solve k(u) = 0.
-9, 0
Let g(k) be the first derivative of 5*k**6/6 - 43*k**5/5 - 19*k**4/2 + 472*k**3/3 + 96*k**2 + 1752. Find o, given that g(o) = 0.
-3, -2/5, 0, 4, 8
Let i(d) = d**3 - 19*d**2 + 25*d - 55. Let k be i(17). Let f be 16/(-88) + k/(-418). Factor -f*t + 4/19 - 10/19*t**2.
-2*(t + 1)*(5*t - 2)/19
Let q = -227 + 27. Let a = -198 - q. Suppose -4/19*s**a + 4/19 - 2/19*s + 2/19*s**3 = 0. What is s?
-1, 1, 2
Suppose -12*v + 7*v = -720. Let o be ((-24)/9)/4 - (-582)/v. Factor 5/8*p**3 + 5*p + o*p**2 + 3/2.
(p + 2)*(p + 3)*(5*p + 2)/8
Let k = 69298/183 - 2/183. Let j = k - 378. Factor -j*c + 8/9 - 2/9*c**2.
-2*(c - 1)*(c + 4)/9
Factor 32 - 190/3*k + 2/3*k**3 + 92/3*k**2.
2*(k - 1)**2*(k + 48)/3
Let z(n) be the third derivative of n**6/160 + 327*n**5/80 + 1701*n**4/2 + 19683*n**3/2 - n**2 + 41*n - 15. Suppose z(h) = 0. Calculate h.
-162, -3
Let o(v) be the first derivative of -2/5*v**5 + 2*v + 2*v**2 + 0*v**3 - v**4 - 14. Suppose o(r) = 0. What is r?
-1, 1
Let s(r) be the second derivative of -r**5/270 + r**4/36 + 10*r**3/27 + 100*r**2 - 3*r + 5. Let l(m) be the first derivative of s(m). Factor l(f).
-2*(f - 5)*(f + 2)/9
Let g(c) be the first derivative of -c**3/5 + 3*c**2 + 3393*c/5 - 10842. Solve g(f) = 0 for f.
-29, 39
Let a(l) = 14*l**4 - 111*l**3 + 523*l**2 - 807*l + 261. Let m(w) = -w**4 + w**3 - 2*w**2 - w - 1. Let t(x) = a(x) + 9*m(x). Determine v so that t(v) = 0.
2/5, 3, 14
Suppose 0 = 2*d - 5*o - 8, -4*d + 16 = 6*o - 5*o. Find k such that 3614*k + 3630*k - 7272*k - d*k**2 - 40 = 0.
-5, -2
Let a(d) be the second derivative of 3*d - 39/160*d**5 - 7/80*d**6 + 1/16*d**3 + 0*d**2 - 7 - 5/32*d**4. What is m in a(m) = 0?
-1, 0, 1/7
Suppose 5*m - 3*n - 193 = 0, 20 = 3*n + 8. Let l = m - 37. Factor 10*s**l - 10*s**2 - 12*s**3 + 7*s**3 - 2*s**5 + 7*s**5.
5*s**2*(s - 1)*(s + 1)*(s + 2)
Suppose 260 + 1255 = 5*x. Suppose -155*d + 7*d**2 + d**3 + x*d - 149*d - 7 = 0. What is d?
-7, -1, 1
Let r be 4/(-20) - (0 - (-15805)/(-150)). Let s = r + -105. Let 1/6 + s*d**2 + 1/3*d = 0. What is d?
-1
Suppose 121812 = -39*h + 121890. Factor 15*l + 1/3*l**3 - 50/3 - 4*l**h.
(l - 5)**2*(l - 2)/3
Factor -585/2 - 3/8*i**2 + 147*i.
-3*(i - 390)*(i - 2)/8
Suppose 87*j = 466*j + 445*j. Let h = -56 - -393/7. Let 0*y**2 + 0*y**3 - h*y**4 + j + 0*y = 0. What is y?
0
Let a be ((-1)/1)/(9/(-45)). Factor -162*v**3 + 30*v**2 - 163*v**3 + 320*v**3 - 30 + a*v.
-5*(v - 6)*(v - 1)*(v + 1)
Suppose 0 = 3*z + 5*i, 0 = -22*i + 17*i + 4 - 4. Let d(t) be the first derivative of 10*t**2 + z*t - 3*t**5 + 20 + 0*t**3 - 35/4*t**4. Factor d(q).
-5*q*(q + 1)*(q + 2)*(3*q - 2)
Let k(b) = -5*b**3 + 10*b**2 - 6*b - 6. Let c(p) = -110*p**3 + 220*p**2 - 135*p - 135. Let w(o) = 2*c(o) - 45*k(o). Factor w(v).
5*v**2*(v - 2)
Let k(h) be the first derivative of h**3/6 + 211*h**2 + 89042*h - 1406. Determine i, given that k(i) = 0.
-422
Solve -210990*r**4 + 211017*r**4 - 495*r**3 - 1110*r**2 - 3609*r**2 + 3*r**5 = 0 for r.
-11, 0, 13
Let i(p) be the second derivative of -p**5/180 + p**4/36 - p**3/18 + 42*p**2 - 20*p + 1. Let b(c) be the first derivative of i(c). Factor b(w).
-(w - 1)**2/3
Let f(d) = 4*d**2 + 14*d - 6. Let l(b) = 25*b + 4*b**2 + 4*b**2 - 12 - b**2. Let y(g) = -5*f(g) + 3*l(g). Factor y(k).
(k - 1)*(k + 6)
Let n(d) be the first derivative of 11*d**4/4 + 67*d**3/3 - 39*d**2 + 4042. Solve n(f) = 0 for f.
-78/11, 0, 1
Let y = 16 - 11. Suppose -25 = -y*j - 10. What is l in -23 + 194*l**2 + 148*l**3 - 1164*l**2 + 380*l + 77*l**j - 17 + 405*l**4 = 0?
-2, 2/9, 1
Let k(u) be the first derivative of -63 + 1/4*u**6 - u**3 + 0*u - 3/8*u**4 + 3/5*u**5 + 0*u**2. Determine m so that k(m) = 0.
-2, -1, 0, 1
Let f(u) be the second derivative of u**6/480 + u**5/40 - 4*u**3/3 + 9*u**2/2 + 9*u + 2. Let c(d) be the first derivative of f(d). Find a such that c(a) = 0.
-4, 2
Suppose -d**3 - 2449*d**2 + 1 - 22*d - 1 + 2462*d**2 = 0. What is d?
0, 2, 11
Let r(v) be the second derivative of 38*v + 2 - 3/4*v**2 + 3/80*v**5 - 1/4*v**4 + 5/8*v**3. Let r(f) = 0. Calculate f.
1, 2
Let p(f) be the second derivative of f**8/1680 - f**7/42 + 4*f**6/15 + 32*f**5/15 + 35*f**4/6 - 19*f + 4. Let a(s) be the third derivative of p(s). Factor a(z).
4*(z - 8)**2*(z + 1)
Let u(i) = -58*i + 188. Let o be u(4). Let r be 62/22 - ((-212)/o - 5). Find l such that 1/5*l**4 + l - 4/5 - l**r + 3/5*l**2 = 0.
-1, 1, 4
Let g = 28822/95 - 5734/19. Factor -32/5*n - 1/10*n**3 - g*n**2 + 0.
-n*(n + 8)**2/10
Let g = 212 + -206. Let r(n) = -2. Let v(a) = -8*a**2 - 42*a - 22. Let p(m) = g*r(m) - v(m). Find c, given that p(c) = 0.
-5, -1/4
Let q(a) be the third derivative of 40/3*a**4 + 0 - a**2 - 8*a - 5/8*a**6 + 8/3*a**7 - 28/3*a**5 + 0*a**3 - 35/48*a**8. Let q(s) = 0. Calculate s.
-1, 0, 1, 8/7
Factor 3/5*y**2 + 9*y - 228/5.
3*(y - 4)*(y + 19)/5
Factor 57 - 3/4*i**3 + 30*i - 111/4*i**2.
-3*(i - 2)*(i + 1)*(i + 38)/4
Suppose 56*n - 61*n = -3*w - 13, -5*w + 25 = n. Let r(d) be the second derivative of 6*d + 5/12*d**w + 0 + 5/2*d**2 + 5/3*d**3. What is s in r(s) = 0?
-1
Suppose 0 = 5*o - 5*v - 95, -1901*o = -1923*o + 3*v + 95. What is c in 0 + 0*c + 1/3*c**4 - 1/3*c**o + 1/2*c**3 = 0?
-2, 0, 1/2
Let x(l) = 7*l - 21. Let c be x(3). Find a such that -12*a + 12 - 7*a**2 + c + 10*a**2 = 0.
2
Factor -127420052/3 - 201295*c**2 - 128022986/3*c - 1903/6*c**3 - 1/6*c**4.
-(c + 1)*(c + 634)**3/6
Let k = 33 - 33. Let i be 1/(-5) + 66/30 + k. Find o such that -11*o**i + 11 - 3*o + 10 - 4*o**2 - 9 = 0.
-1, 4/5
Let z(x) = 1 - 1823*x + 3652*x + x**2 - 1827*x. Let l(a) = -5*a**2 + 40*a + 150. Let q(b) = -l(b) - 10*z(b). Factor q(i).
-5*(i + 4)*(i + 8)
Let g(w) be the first derivative of -2*w**5/35 - 17*w**4/7 - 208*w**3/7 - 256*w**2/7 + 4096*w/7 - 5770. Suppose g(d) = 0. What is d?
-16, -4, 2
Factor -35/2*y**2 + 34 + 1/2*y**3 + 16*y.
(y - 34)*(y - 2)*(y + 1)/2
Suppose 3*v - b + 3*b = 21, 2*v + 2*b = 16. Determine x, given that -4*x**2 - 9*x**2 + 59*x + v*x**3 - 84*x - 7*x**2 = 0.
-1, 0, 5
Let n(a) be the third derivative of a**6/30 + 5*a**5 - 77*a**4/3 - a**2 + 867. Suppose n(j) = 0. What is j?
-77, 0, 2
Let l = 4901 - 4901. Let j(x) be the first derivative of -3/10*x**2 + l*x + 14 + 1/15*x**3. Factor j(r).
r*(r - 3)/5
Suppose -2*h = 2*m - 414 - 84, 707 = 3*m - 5*h. Let g = m - 131. Factor 115*b**4 + g*b**4 - 8*b**3 - 232*b**4.
-4*b**3*(b + 2)
Let w(l) = 3*l**4 + 72*l**3 - 1682*l**2 + 2804*l + 4559. Let m(h) = -10*h**4 - 214*h**3 + 5048*h**2 - 8411*h - 13676. Let o(j) = -4*m(j) - 13*w(j). Factor o(y).
(y - 39)**2*(y - 3)*(y + 1)
Find g, given that -1858/15*g**4 + 4/15*g + 622/5*g**3 - 42*g**2 + 0 + 206/5*g**5 = 0.
0, 2/309, 1
Let n(i) = -15*i**2 - 487*i + 985. Let g(f) = -68*f**2 - 2192*f + 4432. Let w(d) = -7*g(d) + 32*n(d). Let w(j) = 0. What is j?
-62, 2
Let r be 3/(-45)*2/(-7 + (-186)/(-30)). Let c(f) be the first derivative of -1/9*f**3 + 25 - r*f**2 + 0*f. Find s such that c(s) = 0.
-1, 0
Let q(d) be the first derivative