 0. What is z?
-781
Let c(i) be the first derivative of 173 - i**6 - 88/5*i**5 + 0*i**2 + 117/2*i**4 - 68/3*i**3 + 0*i. Let c(v) = 0. What is v?
-17, 0, 1/3, 2
Let n(k) be the third derivative of 2*k**7/63 - 83*k**6/90 + 101*k**5/45 + 31*k**4/2 + 20*k**3 + 23*k**2 + 20*k. Solve n(i) = 0 for i.
-1, -2/5, 3, 15
Suppose i = -w - 0 - 1, 0 = -5*w - 4*i. Find f, given that 763*f**w - 2 - 9*f - 18*f**5 - 28*f**2 + 23*f + 4*f**3 - 733*f**4 = 0.
-1, 1/3, 1
Let d(u) be the first derivative of -u**3/3 - 171*u**2/2 + 700*u + 1811. Factor d(k).
-(k - 4)*(k + 175)
Let y(h) be the third derivative of h**6/40 + 33*h**5/20 + 363*h**4/8 + 1331*h**3/2 - h**2 + 512. Suppose y(m) = 0. Calculate m.
-11
Let n(l) be the third derivative of -l**7/280 - 3*l**6/32 + l**5/5 - 498*l**2. Suppose n(h) = 0. Calculate h.
-16, 0, 1
Let d(t) be the third derivative of t**8/112 - t**7/7 + 3*t**6/5 - 2732*t**2. Factor d(q).
3*q**3*(q - 6)*(q - 4)
Suppose -3*a + 8 = 2, -2*a = -u + 90. Suppose 74*v = u*v - 40. Factor 0 + v*n + 1/2*n**2.
n*(n + 4)/2
Find c such that -9*c - 22*c - 15*c + 74*c + 81*c**2 + 18*c**3 - 3*c**4 - 108 - 16*c = 0.
-2, 1, 9
Let u(h) be the first derivative of h**4/7 - 4*h**3/3 + 32*h**2/7 - 48*h/7 + 2744. Let u(l) = 0. Calculate l.
2, 3
Let w be (348/(-522))/(6/(-4)*1). Let p(h) be the second derivative of 0 - w*h**2 - 7/90*h**5 + 1/6*h**4 + 4/9*h**3 - 6*h. Factor p(q).
-2*(q - 2)*(q + 1)*(7*q - 2)/9
Factor -3/8*d**4 + 63/4*d**2 - 75/2*d - 9/8*d**3 + 27.
-3*(d - 2)**3*(d + 9)/8
Let z(g) be the third derivative of 7*g**5/12 - 455*g**4/12 + 5875*g**3/6 - 116*g**2. Let p(o) = 5*o**2 - 130*o + 839. Let n(f) = 20*p(f) - 3*z(f). Factor n(j).
-5*(j - 13)**2
Let h(n) be the second derivative of n**5/120 + 5*n**4/48 + 35*n**2/2 - 53*n. Let o(b) be the first derivative of h(b). Factor o(x).
x*(x + 5)/2
Let v(s) = s**3 - 21*s**2 + 75*s + 85. Let z be v(16). Let i(p) be the third derivative of -1/210*p**z - 21*p**2 - 1/3*p**3 + 0*p - 2/21*p**4 + 0. Factor i(a).
-2*(a + 1)*(a + 7)/7
Let c = -1199 + 1199. Let x(z) be the second derivative of 5/6*z**4 - 4*z**2 + c*z**5 + z + 0*z**3 + 0 - 1/15*z**6. Suppose x(p) = 0. Calculate p.
-2, -1, 1, 2
Let s(n) be the first derivative of 48/5*n + 57 + 4/15*n**3 + 16/5*n**2. Factor s(y).
4*(y + 2)*(y + 6)/5
Suppose n + 4*l - 13 = 0, 4*n - 25 = -l - 3. Let b = 9 - n. Factor -3*d**5 + 506250*d + 4500*d**3 + 62006*d**2 + 4*d**5 + 1518750 + 5494*d**2 + d**5 + 150*d**b.
2*(d + 15)**5
Let r(l) = -3*l**4 - 1. Let g(b) = -5*b**2 + b**2 + 76*b**4 + b - b**3 - 54*b**4 + 13 - 3*b**2. Let k(h) = -4*g(h) - 28*r(h). What is t in k(t) = 0?
-2, -1, 1, 3
Let k = 1309/2594 - 6/1297. Let c(b) be the first derivative of k*b**3 - 3*b**2 + 13 + 0*b. Factor c(t).
3*t*(t - 4)/2
Let o be -5 - (-5)/(-10)*(-7 + -5 + 2). Suppose 16/15*q**5 - 38/15*q**4 + 0 + 28/15*q**3 + o*q - 2/5*q**2 = 0. What is q?
0, 3/8, 1
Let t be 403*(-26)/(-10140) + (-1)/6. Let k(l) be the third derivative of 0 + 4/3*l**3 - 2/15*l**6 - 20*l**2 - 11/6*l**4 + t*l**5 + 0*l. Factor k(c).
-4*(c - 2)*(c - 1)*(4*c - 1)
Suppose 116 - 94 = 11*p. Factor p*j + 10*j**2 - 5*j**2 - 29*j - 2*j**2.
3*j*(j - 9)
Let 29/2*n**2 + 7/2 + 7/4*n**3 + 65/4*n = 0. What is n?
-7, -1, -2/7
Let y(b) be the first derivative of 2*b**6/15 + 32*b**5/25 - 18*b**4/5 - 368*b**3/15 - 206*b**2/5 - 144*b/5 - 910. Factor y(a).
4*(a - 4)*(a + 1)**3*(a + 9)/5
Suppose 2*a**2 + 140*a - 2346 - 2296 + 4500 = 0. What is a?
-71, 1
Let x(f) = 15*f - 356. Let v be x(25). Suppose 2*t**4 - 10*t**3 - v*t**2 - 42*t**2 - 27 + 11 - 46*t + 19*t**2 + 0*t**3 = 0. What is t?
-1, 8
Solve -452/23*l + 450/23 + 2/23*l**2 = 0 for l.
1, 225
Let l(x) = 28*x**3 + 48*x**2 - 1220*x + 1080. Let a(c) = 9*c**3 + 17*c**2 - 406*c + 360. Let h(y) = -16*a(y) + 5*l(y). Suppose h(b) = 0. What is b?
-15, 1, 6
Let j(c) be the first derivative of c**4/2 - 5*c**3/9 - 13*c**2/6 - 2*c/3 - 13745. Factor j(y).
(y - 2)*(y + 1)*(6*y + 1)/3
Factor 20/3*q**3 - 22*q**2 + 24*q - 2/3*q**4 + 0.
-2*q*(q - 4)*(q - 3)**2/3
Factor 1/3*v**2 + 23/3*v + 112/3.
(v + 7)*(v + 16)/3
Suppose -11*m + 27 = -17. Factor 8*b - 2*b**4 - 491*b**3 + 6*b**m + 483*b**3 - 4.
4*(b - 1)**3*(b + 1)
Let t(f) be the first derivative of -5*f**3/3 - 6390*f**2 - 8166420*f + 5692. Factor t(b).
-5*(b + 1278)**2
Suppose 20*c - 105 - 141 = -186. Let f(d) be the second derivative of -147/10*d**5 + 3*d - 88/9*d**c - 4/3*d**2 + 0 - 175/6*d**4. Factor f(s).
-2*(s + 1)*(21*s + 2)**2/3
Let x(w) = -1493*w**2 + 2114*w - 728. Let y(t) = -282*t + 449 + 36 - 1128*t - 1684*t**2 + 4262*t**2 - 1583*t**2. Let l(u) = -5*x(u) - 7*y(u). Factor l(s).
5*(10*s - 7)**2
Let v(m) be the third derivative of -9 + 5/3*m**3 + 0*m - 1/14*m**7 - 2*m**2 - 5/24*m**4 - 11/12*m**5 - 11/24*m**6. Let v(h) = 0. Calculate h.
-2, -1, 1/3
Factor -63/2*j - 3/4*j**3 + 129/4*j**2 + 0.
-3*j*(j - 42)*(j - 1)/4
What is s in 18/13*s**2 + 12/13*s**3 - 2/13*s**4 - 28/13*s + 0 = 0?
-2, 0, 1, 7
Let k = 1415 + -1415. Let s(t) be the first derivative of -5/4*t**4 + t**5 - 15/2*t**2 + k*t - 25/3*t**3 - 15. Solve s(i) = 0 for i.
-1, 0, 3
Let q = 470 - 398. Factor 8*v - 11*v**4 - 9*v**4 + q*v + 15*v**4 + 60*v**2.
-5*v*(v - 4)*(v + 2)**2
Let h(q) be the second derivative of q**7/10080 + 17*q**6/2880 + q**5/30 - 41*q**4/3 - 11*q + 4. Let i(m) be the third derivative of h(m). Factor i(k).
(k + 1)*(k + 16)/4
Let t(z) = -3*z**2 - 219*z - 3934. Let j be t(-32). Let k(l) be the second derivative of 0 + 4/3*l**3 + 29*l + 1/6*l**4 - 5*l**j. Solve k(x) = 0 for x.
-5, 1
Suppose 52062*v - 52065*v - 4*b + 26 = 0, -6*b = 5*v - 40. Find d, given that -294/5 + 3/5*d**4 - 7*d**3 + 427/5*d + 43/5*d**v = 0.
-3, 2/3, 7
Let s = 39 + -27. Let k be (-9 - -4)*s/(-15). Factor 4*p - k*p**3 + 5*p**3 + 11*p + 9 + 7*p**2.
(p + 1)*(p + 3)**2
Let q(x) = -x**3 - 5*x**2 + 17*x + 60. Let l(a) = a**2 - a + 4. Let j(h) = -l(h) - q(h). Factor j(c).
(c - 4)*(c + 4)**2
Let z = -106 - -109. Solve 0*j**2 + 7*j**4 - 7*j**2 - j**2 + 4*j**3 - z*j**4 = 0 for j.
-2, 0, 1
Let x(p) be the first derivative of p**5/330 - p**4/11 + 42*p**2 + 149. Let y(b) be the second derivative of x(b). Factor y(z).
2*z*(z - 12)/11
Let c = 27463/8682 + 5/1447. Factor 5/3*k**2 + 1/6*k**3 + c*k - 5.
(k - 1)*(k + 5)*(k + 6)/6
Let a(y) be the first derivative of -25/12*y**4 + 10/3*y - 15*y**3 + 25/6*y**2 + 25/3*y**5 + 66. Let a(g) = 0. What is g?
-1, -1/5, 2/5, 1
Let k = 2 - -4. Let q be (5 - 9)*1*1/(-1). Factor 3*g**q - 6 - 9*g**3 + 9*g - g**2 - k*g**2 + 10*g**2.
3*(g - 2)*(g - 1)**2*(g + 1)
Suppose 0 = 2*b + 5*p - 7545, 0 = -5*b + 12*p - 17*p + 18870. Factor 2209 - 300*a + b + 3*a**2 + 1516.
3*(a - 50)**2
Suppose 3*z - 23 = 5*b, 5*z + b - 53 = 2*z. Suppose -z*w = -27*w. Factor 2/5*u**2 + w*u - 4/5*u**3 + 2/5*u**4 + 0.
2*u**2*(u - 1)**2/5
Let k(q) = 3*q**2 - 13*q + 6. Let n be k(5). Factor -5*j**3 + 21*j**3 - 5*j**2 + n - 20*j - 55*j**2 + 68*j.
4*(j - 2)**2*(4*j + 1)
Factor 20906 + 77*q**2 + 27809 - q**3 - 4717*q + 1847 + 47*q**2.
-(q - 53)**2*(q - 18)
Determine i, given that 22*i**4 + 5*i**5 + 5*i**3 + 74*i - 120*i**2 - 5*i**4 + 13*i**4 + 6*i = 0.
-4, 0, 1
Suppose 0*n + 3*n - 9 = s, 3*s = 3*n + 3. Let a(u) = u**3 - 4*u**2 - 14*u + 14. Let m be a(s). Factor 13*o + 4*o + 4*o**m - 4*o - 5*o + 4.
4*(o + 1)**2
Let i be (12/30)/(3/(-13320)). Let y = 1778 + i. Solve 6/13*c**3 + 2/13*c**4 + 0*c + 4/13*c**y + 0 = 0 for c.
-2, -1, 0
Let n(d) = d - 10. Let b be n(19). Suppose 0 = -b*k + 6*k + 30. Factor 7*v**4 - 11*v**4 - 7*v**3 - k*v**4 + 3*v**3.
-2*v**3*(7*v + 2)
Let m = 17172/55 + 1154/55. Let r = m - 333. Factor r*p + 0 + 1/5*p**2.
p*(p + 1)/5
Let x(w) be the third derivative of w**5/240 - 65*w**4/32 - 197*w**3/12 + 94*w**2 - w. Factor x(g).
(g - 197)*(g + 2)/4
Factor -60 - 214/7*s - 2/7*s**2.
-2*(s + 2)*(s + 105)/7
Let i be 2/2*(1 + -1). Suppose 67*z - 115206116 = -115205982. Factor i*p - 2/17*p**z + 8/17.
-2*(p - 2)*(p + 2)/17
Let n(h) be the third derivative of -233*h**6/24 - 931*h**5/12 - 580*h**4/3 + 10*h**3/3 - 10480*h**2. Solve n(t) = 0.
-2, 1/233
Let m be ((-42)/(-49))/((-15)/315)*8/(-32). Factor 0 + 3/4*o**2 - m*o.
3*o*(o - 6)/4
Let d(g) = -g**4 - 9*g**3 - 3*g**2 + 5*g + 5. Let v(w) = -1 - 622*w + w**3 + 621*w + 0. Let q(m) = d(m) + 5*v(m). Solve q(n) = 0 for n.
-3, -1, 0
Suppose -608*g + 718 = 650*g - 1798. Solve -2/5*a**3 - 4/5*a