hird derivative of -11*s**8/112 + 4*s**7/5 - 79*s**6/40 + 17*s**5/10 - 4*s**2 + 4*s - 101. Factor p(d).
-3*d**2*(d - 1)**2*(11*d - 34)
Let d(y) be the first derivative of -y**5/15 + 7*y**4/12 + 79*y**3/9 - 7*y**2/6 - 26*y - 4343. Suppose d(v) = 0. What is v?
-6, -1, 1, 13
Factor -152/3 - 1/3*d**2 - 51*d.
-(d + 1)*(d + 152)/3
Suppose 31 = 6*q + 79. Let t be (1440/(-81))/4 - q. What is i in -2/3*i**2 - t*i - 10/9 = 0?
-5, -1/3
Determine r, given that 197*r + 128847*r**3 + 48 + 2*r**4 - 128793*r**3 - 51*r + 150*r**2 = 0.
-24, -1
Let b be (8 + (-1312)/168)/(5 + 69/(-14)). Factor 0 - b*v**3 + 2/3*v - 2*v**2.
-2*v*(v + 1)*(4*v - 1)/3
Suppose -32 + 83*z**3 - 28*z**2 + 88*z**3 - 4*z**5 + 133*z**3 - 276*z**3 + 12*z**4 - 72*z = 0. What is z?
-1, 2, 4
Let c(d) = 2*d + 44. Let b be c(7). Suppose -6 - 279*h**3 + 160*h - 98 - 275*h**3 - b*h**2 + 556*h**3 = 0. Calculate h.
1, 2, 26
Let g = -697618 + 697620. Solve -10/9*i**g - 22/9*i - 4/3 = 0 for i.
-6/5, -1
Let y(a) be the second derivative of a**7/5 - 34*a**6/75 + a**5/10 + 4*a**4/15 + 60*a + 10. Find z such that y(z) = 0.
-8/21, 0, 1
Suppose 0 = -312*x - 25 + 3926 + 1091. Factor -25/4*y**3 + x*y + 5/2*y**2 + 8.
-(y - 2)*(5*y + 4)**2/4
Let x = -3560/33 + 1194/11. Let l(t) be the first derivative of -16 + x*t**3 - 1/30*t**4 + 98/15*t - 21/5*t**2. Suppose l(h) = 0. Calculate h.
1, 7
Determine z so that 128/9*z**2 - 484 - 638/3*z - 2/9*z**3 = 0.
-2, 33
Let n(k) be the third derivative of k**5/60 - 851*k**4/24 + 425*k**3/3 - 3417*k**2. Factor n(c).
(c - 850)*(c - 1)
Suppose 28 + 36 = p. Let o be (p/70)/2 + 7/49. Let 9/5*k**3 - 9/5*k**2 - 3/5*k**4 + o*k + 0 = 0. Calculate k.
0, 1
Let i(z) = 422*z**2 - 257*z + 12420. Let o(a) = -542*a**2 + 343*a - 16560. Let c(u) = -9*i(u) - 7*o(u). Solve c(w) = 0.
-45, 23
Suppose -2 = 4*c - h - 31, h + 35 = 5*c. Let v be 12/(c - 435/100). Find n, given that 0 + 32/11*n**5 + v*n**4 + 0*n + 18/11*n**2 + 6*n**3 = 0.
-1, -3/4, 0
Let c = 4863 - 4857. Let p(i) be the second derivative of 0 + 2*i - 2/15*i**c + 3/5*i**5 - 1/3*i**4 + 4*i**2 - 2*i**3. Suppose p(b) = 0. Calculate b.
-1, 1, 2
Let q(h) = h**2 + 926*h - 4. Let v(d) = -d**2 + 31*d + 1. Let z(s) = q(s) + 4*v(s). Factor z(l).
-3*l*(l - 350)
Suppose -3*k + 6 = -12. Factor -k*y**3 + 0*y**4 - 6*y**2 - 621*y - 2*y**4 + 619*y.
-2*y*(y + 1)**3
Let h(c) be the second derivative of c**5/70 + c**4/21 - 41*c**3/21 - 6*c**2 - 1551*c. Factor h(m).
2*(m - 6)*(m + 1)*(m + 7)/7
Let n(j) be the first derivative of -2*j**3/3 - 292*j**2 - 1160*j - 6605. Factor n(w).
-2*(w + 2)*(w + 290)
Suppose 24 = -3*a, -t = -2*t - 18*a + 20*a + 18. Factor 0*g + 2/15*g**4 + 0 - 2/15*g**3 - 8/3*g**t.
2*g**2*(g - 5)*(g + 4)/15
Let w(v) be the third derivative of 1/5*v**5 + 0*v - 158*v**2 + 1/112*v**8 + 0 + 3/20*v**6 + 0*v**3 + 1/8*v**4 + 2/35*v**7. What is j in w(j) = 0?
-1, 0
Let r(b) = -b**2 - 19*b - 88. Let m be r(-9). Let y(s) be the first derivative of 5/2*s**4 - 5/3*s**3 + 0*s + s**5 + 13 - 5*s**m. Factor y(w).
5*w*(w - 1)*(w + 1)*(w + 2)
Let i(z) be the second derivative of -z**5/60 + 251*z**4/12 - 376*z**3/9 + 5843*z. Determine x, given that i(x) = 0.
0, 1, 752
Suppose 1/4*y**2 + 126*y - 505/4 = 0. What is y?
-505, 1
Let 663*m**2 + 4 - 6 + 3*m + 2 - 660*m**2 = 0. What is m?
-1, 0
Find z, given that 1/6*z**4 + 0 + 47/3*z**2 - 97/6*z**3 + 32*z = 0.
-1, 0, 2, 96
Let y be (36 + -36)*(2 + (2 - 3)). Find u such that -1/4*u**5 - u**2 + 0*u + 3/4*u**4 + 0*u**3 + y = 0.
-1, 0, 2
Let u(s) be the first derivative of -3*s**4 - 580*s**3/3 + 808*s**2 - 816*s + 1428. Solve u(o) = 0 for o.
-51, 2/3, 2
Suppose 3*n = -2*u + 8, -5*u - 3 = 6*n - 10*n. Factor -10*f + 3*f**4 - 15*f**3 + 2 + 80*f**2 - 11*f + 4 - 17*f**2 - 36*f**n.
3*(f - 2)*(f - 1)**3
Let d(i) be the first derivative of -4*i**3/27 + 91*i**2/9 + 650. Find n, given that d(n) = 0.
0, 91/2
Let t(v) be the second derivative of -v**7/42 - 7*v**6/30 + 17*v**5/20 - 3*v**4/4 + 84*v. What is z in t(z) = 0?
-9, 0, 1
Let w(n) = 4*n - 178. Let p be w(-8). Let x be p/252*(-14)/10. Suppose x*s + 1 + 1/6*s**2 = 0. Calculate s.
-6, -1
Let r = 66 - 37. Suppose 0 = -101*n + 3188 + 21355. Factor 10*m**2 + 2*m**2 + 380*m**4 - n*m**5 - r*m**4 - 120*m**3.
-3*m**2*(m - 1)*(9*m - 2)**2
Determine g, given that 126 + 48*g**3 - 41*g**2 - 60*g**2 + 6561*g - 23*g**2 - 6609*g - 2*g**4 = 0.
-1, 1, 3, 21
Let l be (-26)/(-36) - (103/(-9) - (-87 - -76)). What is j in 1/6*j**4 + 0 - 1/2*j + l*j**2 - 5/6*j**3 = 0?
0, 1, 3
Let g = -8179/33 + 8267/33. Determine c so that -32/15*c + 2/5*c**4 + 16/15*c**3 - g*c**2 + 0 = 0.
-4, -2/3, 0, 2
Let h(r) = -r**3 + 9*r**2 - 75*r + 1653. Let n be h(13). Factor 1/2*s**n - 1/4 + 1/4*s.
(s + 1)*(2*s - 1)/4
Let n = -4/206265 + 206273/412530. Factor 0 + 1/4*m - 1/4*m**2 - n*m**3.
-m*(m + 1)*(2*m - 1)/4
Let p(s) be the first derivative of 4*s**5 + 23*s**4 - 400*s**3/3 - 648*s**2 + 576*s + 10593. Solve p(l) = 0 for l.
-6, -3, 2/5, 4
Suppose 4*x + 5*c - 285 = -45, 240 = 4*x + 3*c. Suppose -363*h - 108 = -399*h. Factor h*v**3 + 0*v**3 + 9 + 30*v**2 + 2*v**3 + x*v + 31.
5*(v + 2)**3
Let g = -672 - -682. Let p(v) be the first derivative of -v**5 + 5/3*v**3 + 0*v**4 - g + 0*v**2 + 0*v. Suppose p(d) = 0. Calculate d.
-1, 0, 1
Let j(v) = -5*v**2 - 33*v + 14. Let t(d) = -57*d + 528 - 11*d**2 - 499 + 2*d**2. Let w(q) = 7*j(q) - 4*t(q). Factor w(s).
(s - 6)*(s + 3)
Let w(t) = -2*t**3 - 26*t**2 + 260*t - 437. Let n(r) = -14*r**3 - 184*r**2 + 1822*r - 3058. Let a(l) = 10*n(l) - 68*w(l). Suppose a(j) = 0. What is j?
-24, 3
Let k(d) be the second derivative of d**6/108 + 43*d**5/270 + 11*d**4/54 - 16*d**3/27 + 91*d**2/2 - 14*d. Let i(s) be the first derivative of k(s). Factor i(u).
2*(u + 1)*(u + 8)*(5*u - 2)/9
Let f(z) = -4*z + 110. Let v be f(9). Factor -141*h**4 + 73*h**4 - 2*h**5 + v*h**4.
-2*h**4*(h - 3)
Find x such that -27*x**5 + 188*x**3 + 44*x**2 - x**5 + 160*x - 732*x**2 + 268*x**3 - 20*x**4 = 0.
-5, 0, 2/7, 2
Let p be ((-972)/(-168) + (-15 - (-1030)/70))*(-12)/(-165). Find y such that 8/5*y + p + 6/5*y**2 = 0.
-1, -1/3
Let z = 1793773/28 + -64055. Let a = z - 31/4. Factor 400/7 - 80/7*h + a*h**2.
4*(h - 10)**2/7
Suppose 20*f = 3*f + 493. Factor f*h**2 - h**3 + 6*h**2 + 9261 - 1323*h - 8*h**2 + 36*h**2.
-(h - 21)**3
Let k = -86784 - -86784. Find t, given that 16/13*t**2 - 32/13*t - 2/13*t**3 + k = 0.
0, 4
Let i(n) be the second derivative of 1/20*n**5 + 468*n**3 + 52*n + 3 - 1458*n**2 + 107/12*n**4. Factor i(h).
(h - 1)*(h + 54)**2
Let b(g) be the third derivative of 4 - 36/5*g**3 + 0*g + 13/10*g**4 - 1/150*g**6 + 6*g**2 + 16/75*g**5. Factor b(r).
-4*(r - 18)*(r - 1)*(r + 3)/5
Let c(j) = j**2 + j + 1. Let z(o) = 2 - 22*o**3 - 26*o**3 - 9*o**2 - 1 + 71*o**3 - 25*o**3 + 13*o. Let f(g) = -c(g) + z(g). Let f(r) = 0. Calculate r.
-6, 0, 1
Let z(p) be the third derivative of 0*p + 0 + 140*p**2 - 1/14*p**7 + 0*p**4 + 1/3*p**5 + 13/18*p**6 + 0*p**3. Let z(n) = 0. What is n?
-2/9, 0, 6
Let p be 3 - (-4)/6*-77*(-3)/66. Determine k so that 20/3*k**2 - p*k + 0 + 2*k**3 = 0.
-4, 0, 2/3
Let q be 144/96 - (-1 - (-363)/154). Let 4 - 29/7*f**2 + q*f**4 - 3/7*f + 3/7*f**3 = 0. What is f?
-7, -1, 1, 4
Factor 134/15*d**2 - 136/15*d + 2/15*d**3 + 0.
2*d*(d - 1)*(d + 68)/15
Let o(d) be the third derivative of -d**8/168 - 2*d**7/15 - 19*d**6/20 - 6*d**5/5 + 9*d**4 - 629*d**2. Determine s, given that o(s) = 0.
-6, -3, 0, 1
Let n(p) be the first derivative of -p**5 - 25*p**4 + 890*p**3/3 - 730*p**2 + 675*p + 9823. Factor n(f).
-5*(f - 5)*(f - 1)**2*(f + 27)
Let p = 25432 + -25429. Suppose 0*c**2 + 0 + 3/4*c - 3/4*c**p = 0. Calculate c.
-1, 0, 1
Let i = 55764 - 55761. Solve -1/11*b**i - 6/11*b**2 - 12/11*b - 8/11 = 0 for b.
-2
Let q be ((-2)/24)/((-68)/340)*32/80. Find s such that 7/3*s + 5/2 - q*s**2 = 0.
-1, 15
Let z(a) = a**4 + 45*a**3 + 17*a**2 + 3*a. Let p(h) = -h**4 + 43*h**3 + 18*h**2 + 4*h. Suppose -6*l + 0 = -18. Let t(f) = l*p(f) - 4*z(f). Solve t(m) = 0.
-7, -2/7, 0
Suppose -9*a - 568 - 134 = 0. Let m = -76 - a. Suppose m*d**2 - 5*d - 6 + 0*d**2 + 0*d**2 - 3*d**2 = 0. Calculate d.
-3, -2
Let x(p) be the first derivative of 8*p**5/5 - 29*p**4/2 - 434*p**3/3 - 136*p**2 + 96*p - 713. Suppose x(m) = 0. Calculate m.
-4, -1, 1/4, 12
Suppose 345244 - 2064*r + 168835 + 161505 + 1392994 - 2004*r + 2*r**2 = 0. Calculate r.
1017
Let c(b) be 