-13*d**2 - d + 41. Let r(a) be the second derivative of a**4/4 - 5*a**2 - 2*a + 13. Let v(n) = 9*r(n) + 2*x(n). Find z such that v(z) = 0.
-2, 4
Let z be 1510/315 + (-130)/585. Factor z + 2/7*r**2 + 16/7*r.
2*(r + 4)**2/7
Let r(h) be the first derivative of 5*h**4/16 + 45*h**3/2 + 1215*h**2/2 + 7290*h + 114. Factor r(g).
5*(g + 18)**3/4
Find o such that -68 - 25*o**2 - 40*o**2 + 8 - 6*o - 109*o + 10 = 0.
-1, -10/13
Let z(s) = 8*s**3 + 179*s**2 - 180*s. Let u(i) = 5*i**3 + 120*i**2 - 120*i. Let v(j) = 7*u(j) - 5*z(j). Determine x so that v(x) = 0.
-12, 0, 1
Let v = -910/3 - -1261/4. Let q = -35/3 + v. Factor 15/4*u**2 + 7/4*u + q + 9/4*u**3.
(u + 1)*(3*u + 1)**2/4
Let s be ((44/66)/((-4)/18))/(-3 - 2). Factor -3*l**2 + 6/5*l**3 - s + 12/5*l.
3*(l - 1)**2*(2*l - 1)/5
Let j(y) be the first derivative of -316*y**5/5 + 156*y**4 - 100*y**3 - 4*y**2 - 278. Solve j(b) = 0.
-2/79, 0, 1
Let z(r) be the second derivative of -r**5/40 + 2*r**4/9 + 11*r**3/12 + 7*r**2/6 - 23*r - 2. Factor z(g).
-(g - 7)*(g + 1)*(3*g + 2)/6
Suppose 18*m = -9*m + 31*m. Let l(b) be the second derivative of -1/105*b**7 - 2/75*b**6 + 0 + 0*b**3 + m*b**4 + 0*b**5 + 4*b + 0*b**2. Factor l(a).
-2*a**4*(a + 2)/5
Let l(x) be the first derivative of x**6/1080 - x**5/360 + 2*x**3 + 8. Let n(f) be the third derivative of l(f). Factor n(c).
c*(c - 1)/3
Factor -76/7*i - 144/7 - 2/7*i**2.
-2*(i + 2)*(i + 36)/7
Let i be 2/(-45) + (-22 - (-4040)/180). Determine n so that 0 - i*n + 2/5*n**2 = 0.
0, 1
Let r(k) be the first derivative of 7 - 1/16*k**2 + 1/16*k**3 + 1/24*k**4 + 2*k. Let y(o) be the first derivative of r(o). Solve y(p) = 0.
-1, 1/4
Let b(r) = 14*r - 29. Let d be b(13). Let w = 773/5 - d. Factor -22/5*q + 26/5*q**2 - w*q**3 + 4/5.
-2*(q - 2)*(q - 1)*(4*q - 1)/5
Let n be 165/75 + (-5)/(-1). Factor -64/5*i**4 - 4/5*i - 96/5*i**3 + 0 - n*i**2.
-4*i*(i + 1)*(4*i + 1)**2/5
Suppose -3*r = 5*g + 8, -2*r + 5*g + 0 = -28. Factor -r*l - 2*l + 3*l - 3*l**2 + 2*l**2.
-l*(l + 3)
Let v(n) be the third derivative of -25/6*n**4 + 0 - 7*n**2 + 2/3*n**5 + 0*n**3 - 1/30*n**6 + 0*n. Factor v(w).
-4*w*(w - 5)**2
Let s = 1727 + -1725. Factor 0 - 3/8*m**s + 0*m.
-3*m**2/8
Suppose -1/3*g**5 - 3 + g**4 - 10/3*g**2 - 7*g + 2*g**3 = 0. Calculate g.
-1, 3
Suppose -4*w + u - 2 = 0, 5*w - w = 5*u - 10. Let y = -6930 - -6930. Factor y*x + w + 2/7*x**2.
2*x**2/7
Let q(o) be the first derivative of o**6/540 - o**4/108 - 7*o**2 + 18. Let t(w) be the second derivative of q(w). Factor t(m).
2*m*(m - 1)*(m + 1)/9
Find a, given that 3/5*a**3 + 1/5*a**4 + 0 + 0*a**2 - 4/5*a = 0.
-2, 0, 1
Let h(a) be the second derivative of 3*a**5/80 + 5*a**4/8 - 23*a**3/8 + 9*a**2/2 + 23*a. Factor h(l).
3*(l - 1)**2*(l + 12)/4
Let u(j) = -j**2 - 13*j + 70. Let l be u(4). Suppose 1/4*i**l + 0 - 3/8*i = 0. What is i?
0, 3/2
Let o = 8 + -40. Let j be (6/4*1)/((-120)/o). Find l such that 4/5*l**2 + 0 + j*l**3 + 2/5*l = 0.
-1, 0
Let r be 2 - ((1 - 209) + -4). Find f, given that 15*f**4 + 519*f**3 - r*f**3 + 45*f + 165*f**2 - 210*f**3 = 0.
-3, -1/3, 0
Let j(k) be the third derivative of k**8/3360 + 3*k**7/700 + k**6/48 + k**5/40 - 13*k**4/120 - 2*k**3/5 + 49*k**2. What is q in j(q) = 0?
-4, -3, -2, -1, 1
Determine d, given that -20 - 45*d - 30 + 3*d**2 + 103 - 96*d + 85 = 0.
1, 46
Solve 1089 - 38*o + 5*o**2 - 8*o**2 - 28*o + 4*o**2 = 0.
33
Let a(h) be the third derivative of -h**6/480 + 3*h**5/40 - 9*h**4/8 + 17*h**3/6 - 16*h**2. Let r(z) be the first derivative of a(z). Let r(v) = 0. Calculate v.
6
Let y(b) be the first derivative of 5*b**3/3 - 815*b**2/2 + 810*b + 227. Factor y(l).
5*(l - 162)*(l - 1)
Let m be (104/(-56) - -2)*1. Let t(j) be the second derivative of -1/14*j**3 - m*j**2 - 4*j + 0 - 1/84*j**4. Suppose t(f) = 0. What is f?
-2, -1
Let m be ((-2)/(-3))/(4/12*1). Let z be ((6 - 3)/3)/m. Factor 9/10 - z*s**2 + 3/10*s + 1/10*s**3.
(s - 3)**2*(s + 1)/10
Suppose 8*w = 4*w + 156. Let o = w - 37. Determine r, given that -1/6*r**o + 1/3 - 1/6*r = 0.
-2, 1
Let t be 16/40 - 85412/(-13195). Let q = t + -6/377. Factor -4/7*z**3 - 26/7*z**2 - 18/7 - q*z.
-2*(z + 3)**2*(2*z + 1)/7
Suppose 4*w - 12 = -0*w, -2*v + 4*w - 8 = 0. Let c be ((-3 - (-21)/6)/(-1))/(-1). Suppose -r - 2*r**3 + c*r**4 + 0 + 5/2*r**v = 0. What is r?
0, 1, 2
Let g(u) = -u**3 + u**2 - u + 2. Let w(q) = -66*q**3 + 116*q**2 + 29*q + 2. Let z(c) = g(c) - w(c). Factor z(n).
5*n*(n - 2)*(13*n + 3)
Let h(v) be the second derivative of -v**7/26460 + v**6/3780 + 5*v**4/6 + 13*v. Let x(d) be the third derivative of h(d). Factor x(f).
-2*f*(f - 2)/21
Suppose f + 6 - 17 = 0. Suppose -f*p - 4*p**4 + 6*p - p**4 + 2*p**2 + 5*p**3 + 3*p**2 = 0. What is p?
-1, 0, 1
Factor 2/9*b**3 + 0 + 0*b - 2/3*b**2.
2*b**2*(b - 3)/9
Let y(c) = 11*c + 8*c**2 + 16*c + 24*c + 12 - 11*c. Let z(s) = 9*s**2 + 40*s + 12. Let x(u) = -3*y(u) + 4*z(u). Suppose x(w) = 0. What is w?
-3, -1/3
Let y = 11853/22 + -539. Let g = 1/44 - y. Let 1/4*w**2 + 0 + g*w = 0. What is w?
-1, 0
Let -1/7*r**3 - 24/7 - 2/7*r**2 + 20/7*r = 0. What is r?
-6, 2
Let p(w) be the third derivative of -5*w**8/336 + w**6/8 + w**5/6 + 3*w**2 - 3*w. Find s such that p(s) = 0.
-1, 0, 2
Let q(w) be the first derivative of -1/3*w**3 + w**2 + 12 - w. Factor q(s).
-(s - 1)**2
Let v be (-2)/(-8*4/8 + 3). Let u(x) be the second derivative of -1/4*x**4 + 2/3*x**3 + 0 - 1/2*x**v - x. Factor u(n).
-(n - 1)*(3*n - 1)
Let v(r) be the first derivative of -2*r**5/5 - r**4 + 8*r**3/3 + 8*r**2 + 18. What is q in v(q) = 0?
-2, 0, 2
Suppose 6*p + 5 = -25. Let x be (-5)/18*4/p. Find o, given that -2/9*o**2 + 2/9*o**5 + 0*o - 2/9*o**3 + 0 + x*o**4 = 0.
-1, 0, 1
Let d(m) = 2*m**3 + 47*m**2 - 72*m - 5. Let j(x) = 3*x**3 + 48*x**2 - 72*x - 6. Let a(b) = 6*d(b) - 5*j(b). Suppose a(n) = 0. What is n?
0, 2, 12
Let y(p) be the second derivative of 9*p**5/50 - 19*p**4/30 + 11*p**3/15 - p**2/5 + 18*p. Solve y(w) = 0.
1/9, 1
Let o be (240 + -239)/((-10)/(-44)). Factor 4/5*g - 34/5*g**4 - o*g**2 + 0 + 42/5*g**3 + 2*g**5.
2*g*(g - 1)**3*(5*g - 2)/5
Let y(x) be the first derivative of x**4/3 - 8*x**3/3 + 7*x**2/2 - 5*x/3 - 121. Factor y(d).
(d - 5)*(2*d - 1)**2/3
Let p be (-2533)/(-357) + -7 + (-82)/(-21). Factor 2*f + 1/4 + p*f**2.
(4*f + 1)**2/4
Let q(t) be the first derivative of -1/6*t**4 - 6 - 3*t + 2/3*t**3 - t**2. Let p(z) be the first derivative of q(z). Suppose p(x) = 0. Calculate x.
1
Let o(h) be the first derivative of -12*h + 2/3*h**3 - 9 - 5*h**2. Let o(z) = 0. Calculate z.
-1, 6
Let i(s) be the second derivative of -s**7/42 + s**6/30 + s**5/10 - s**4/6 - s**3/6 + s**2/2 - 30*s. Let i(k) = 0. What is k?
-1, 1
Let h = 2437 + -17057/7. Factor h*y**2 + 2/7*y + 0.
2*y*(y + 1)/7
Let t(j) = -310*j + 622. Let f be t(2). Factor 5/2 - 5/4*i**3 - 5/2*i**f + 5/4*i.
-5*(i - 1)*(i + 1)*(i + 2)/4
Let d be (20/(-24))/((-3)/18). Determine i so that 9*i**4 + 3*i**4 + 3*i**2 - 10*i**4 - d*i**2 + 6*i**3 - 6*i = 0.
-3, -1, 0, 1
Let t(v) be the third derivative of -v**7/420 - v**6/180 + v**5/30 - v**3/6 - 31*v**2. Let l(n) be the first derivative of t(n). Factor l(d).
-2*d*(d - 1)*(d + 2)
Let c = 51 + -50. Suppose 4*m + 5*i - 41 = 0, -2*m + m + i = c. Factor 0 - 3/5*s**m - 4/5*s - 8/5*s**2 + 11/5*s**3.
-s*(s - 2)**2*(3*s + 1)/5
Let q(b) = b**2 - 3*b. Suppose 2*v = 2*r, -27 = -5*v - r - 3*r. Let a be q(v). Solve -4*i**2 + a*i**2 - 2*i**5 + 4*i**3 - 2*i + 24 - 22 + 2*i**4 = 0 for i.
-1, 1
Let g(h) = h**2 - 1. Let o(c) = -4*c**2 - 4*c. Let a = 18 + -16. Let k(i) = a*g(i) + o(i). What is y in k(y) = 0?
-1
Let d(l) be the third derivative of l**7/70 - l**6/40 + 7*l**2 - 3*l. Factor d(n).
3*n**3*(n - 1)
Let j(i) be the second derivative of i**7/840 + i**6/480 - i**5/240 - i**4/96 - 5*i**2 + 14*i. Let r(m) be the first derivative of j(m). Factor r(f).
f*(f - 1)*(f + 1)**2/4
Let s be (-1)/2 + (-15)/(-10). Let z(p) = -p. Let w(q) = -2*q**2 - 4*q**2 + 5*q**2 + 2*q. Let m(k) = s*z(k) + w(k). Factor m(t).
-t*(t - 1)
Let c(y) = y**2 - y + 2. Let q(m) = -3*m**2 - 67*m + 26. Let l(d) = -6*c(d) + q(d). Factor l(a).
-(a + 7)*(9*a - 2)
Let x(w) = 13*w**4 - 2*w**3 - 5*w**2 - 15*w + 9. Let q(k) = -3*k**4 + k**2 + 4*k - 2. Let h(n) = 18*q(n) + 4*x(n). Factor h(y).
-2*y*(y - 1)*(y + 2)*(y + 3)
Let s(w) be the second derivative of w**7/15 - 44*w**6/75 + 48*w**5/25 - 8*w**4/3 + 16*w**3/15 + 36*w. Fact