*2 + 29*z. Let g(y) be the first derivative of q(y). Factor g(h).
4*h*(h - 3)*(h + 1)*(3*h - 1)
Let l(v) be the second derivative of 0*v**4 + 0*v**2 + 9/20*v**5 + 1/4*v**6 - 1/28*v**7 + 0*v**3 - 1 + 68*v. Let l(q) = 0. What is q?
-1, 0, 6
Suppose -2*c = 11*c + 198783. Let r = 76698/5 + c. What is j in -r - 3/5*j**2 - 54/5*j = 0?
-9
Suppose 2*u - 2*c - 18 = 0, c + 24 = 4*u - 18. Factor -144*w**3 - 87*w - 35 + u - 912*w**2 + 92*w - 297*w.
-4*(w + 6)*(6*w + 1)**2
Factor 0 - 211250/3*w - 2/3*w**3 + 1300/3*w**2.
-2*w*(w - 325)**2/3
Let o(d) be the first derivative of 4*d**3/21 + 30*d**2 + 2572. Factor o(s).
4*s*(s + 105)/7
Let k(i) be the first derivative of i**5/15 - 5*i**4/8 + 16*i**3/9 - i**2 - 8*i/3 + 98. Suppose k(p) = 0. What is p?
-1/2, 2, 4
Let -480249/2 - 693*z + 1/2*z**4 + 693*z**3 + 240124*z**2 = 0. Calculate z.
-693, -1, 1
Let i(s) = -31*s**3 + 93*s**2 + 541*s - 1621. Let d be i(3). Suppose -1/8*u**3 + 0 + 35/2*u**d - 1225/2*u = 0. What is u?
0, 70
Let k = 3663/133 - 450/19. What is m in -8/7 + 25/7*m + 11/7*m**3 - k*m**2 - 1/7*m**4 = 0?
1, 8
Let a be -7 + 902/300 + 4. Let v(c) be the third derivative of a*c**5 + 5*c**2 + 0 - 1/60*c**4 + 0*c**3 + 0*c. Suppose v(x) = 0. Calculate x.
0, 1
Let k(v) be the third derivative of v**7/14 + 61*v**6/24 + 347*v**5/12 + 1895*v**4/24 + 75*v**3 - v**2 + 1316*v. Find c, given that k(c) = 0.
-10, -9, -1, -1/3
Factor 42*m + 127/3 - 1/3*m**2.
-(m - 127)*(m + 1)/3
Let n(u) be the third derivative of -u**5/30 + 2923*u**4/6 - 8543929*u**3/3 - 9537*u**2. Find w such that n(w) = 0.
2923
Factor -3/4*q**2 + 3/4*q + 0.
-3*q*(q - 1)/4
Let o(s) = s**3 + 5*s**2 + 703*s + 701. Let v be o(-1). Suppose -2/15*p**v + 26/15*p - 44/15 = 0. What is p?
2, 11
Let s be 2/11 + 1600/275. Find j, given that s*j**4 - 124*j**5 + 12*j**3 - 6*j**2 - 2*j + 116*j**5 + 2*j**3 - 4*j**3 = 0.
-1, -1/4, 0, 1
Suppose 70 = -w - 9*w. Let o = -3 - w. Factor j**5 + j**4 + 7*j**5 - 3*j**5 - o*j**5.
j**4*(j + 1)
Factor 10487*m - m**5 - 10487*m - 141*m**4 + 1080*m**3 - 125*m**4.
-m**3*(m - 4)*(m + 270)
Let t(y) be the first derivative of y**6/75 + y**5/10 - 7*y**4/30 - y**3/3 + 6*y**2/5 + 101*y - 149. Let n(h) be the first derivative of t(h). Factor n(i).
2*(i - 1)**2*(i + 1)*(i + 6)/5
Let f be (372/60*16)/(2/15). Let q be -8 + (f/(-7))/(-12). Let 2/7*w**3 - q*w + 0*w**2 - 4/7 = 0. What is w?
-1, 2
Let k(d) be the second derivative of 4 - 1/3*d**3 - 1/6*d**4 + 10*d + 0*d**2. Suppose k(g) = 0. What is g?
-1, 0
Let l(b) = -7*b**2 + 3*b - 19. Let d(r) = 20*r**2 - 10*r + 56. Let u(g) = 6*d(g) + 17*l(g). Let m be u(8). Factor -3*h**2 + 9*h**3 - 9*h**4 + 3*h**m - 78 + 78.
3*h**2*(h - 1)**3
Let g(h) be the first derivative of -h**5/120 + h**3/12 + 19*h**2 - 2*h - 40. Let y(z) be the second derivative of g(z). Factor y(v).
-(v - 1)*(v + 1)/2
Let a(b) = -49*b**2 + 420*b - 6. Let z(d) = 8*d**2 - d + 1. Let k(g) = a(g) + 6*z(g). Factor k(q).
-q*(q - 414)
Let c = 2102/635 + -14/127. What is b in 0 + 14/5*b**2 - c*b + 2/5*b**3 = 0?
-8, 0, 1
Let d(i) = -4*i**2 + 79*i + 213. Let z(u) = -11*u**2 + 238*u + 624. Let v(c) = -8*d(c) + 3*z(c). Factor v(n).
-(n - 84)*(n + 2)
Let r(b) be the third derivative of -b**6/144 - 5*b**5/24 - 125*b**4/48 + 22*b**3/3 - 190*b**2. Let w(j) be the first derivative of r(j). Factor w(k).
-5*(k + 5)**2/2
Let a be -4 + (29 - 390/12)*34/63*-3. Determine b, given that -80/3*b - a*b**4 + 30*b**2 + 80/3*b**3 - 85/3 = 0.
-1, 1, 17
Suppose 712/5*c**2 - 1428/5 + 2/5*c**3 - 718/5*c = 0. Calculate c.
-357, -1, 2
Let q(i) be the first derivative of -i**3/15 + 401*i**2/5 - 160801*i/5 + 131. Suppose q(v) = 0. Calculate v.
401
Let o(r) = -r + 6. Let k be o(3). Suppose -4*i + 72 = 5*j, 5*i + 12 + 9 = k*j. Suppose 29 + 12*l**3 + 3*l**5 - 29 + j*l**4 = 0. What is l?
-2, 0
Let z = 397/787 + 53885/5509. Factor -33/7*o + z + 3/7*o**2.
3*(o - 8)*(o - 3)/7
Suppose -25*x = 5*x. Let s(w) be the first derivative of 0*w**2 - 3/40*w**5 + 14 + x*w - 5/32*w**4 + 1/12*w**3. Determine k, given that s(k) = 0.
-2, 0, 1/3
Let l be (-6)/4*190/(-57). Suppose g - 4*y + l = -0*g, -3*g - 1 = -5*y. Factor -1 + 19*b**4 - 6*b**g - 4*b**2 - 14*b**4 + 0*b**2 + 6*b.
(b - 1)**2*(b + 1)*(5*b - 1)
Let v = -41 - -44. Suppose -3*k + v*j + 18 = 0, -3*k - 4*j + 2 = -3*j. Determine f so that -4*f**k + 3*f - 3*f - 4*f = 0.
-1, 0
Let s be (0 + 94/(-4))/((-65)/130). Find n, given that 34 + 57*n + s + 3*n**2 - 27 = 0.
-18, -1
Factor 0*l**2 + 144 + 26*l**2 + 6*l**3 + 108*l + 0*l**2 - 4*l**3.
2*(l + 3)*(l + 4)*(l + 6)
Let b(v) be the third derivative of 89*v**2 - 1/420*v**8 + 0 - 4/175*v**7 - 3/50*v**6 + 0*v**5 + 0*v + 0*v**4 + 0*v**3. Factor b(s).
-4*s**3*(s + 3)**2/5
Factor 48*q**2 + 171/2*q - 135 + 3/2*q**3.
3*(q - 1)*(q + 3)*(q + 30)/2
Suppose -2*i + 0*i = z + 6, -z = -5*i - 22. Let y be (-3 + 5)/(2176/(-112) - -20). Factor 9/2*a**z + 1/2*a**4 - 5/2*a**3 + 1 - y*a.
(a - 2)*(a - 1)**3/2
Let q be (0 - -1)/((-303)/51 - -6). Suppose -25 = -q*c + 9. Factor 0*g**3 + 4/13*g + 6/13*g**c + 0 - 2/13*g**4.
-2*g*(g - 2)*(g + 1)**2/13
Let z(q) be the first derivative of 8 - 1/18*q**4 + 4*q**2 - 1/9*q**3 - 1/90*q**5 + 0*q. Let w(r) be the second derivative of z(r). Factor w(n).
-2*(n + 1)**2/3
Let j(g) = -g + 19. Let b be j(17). Let s be 19 + -16 - (0 - b). Factor -10 - 417*c**3 - 291*c**2 + 0*c**2 - 285*c**4 - 2 - 96*c - 75*c**s.
-3*(c + 1)**3*(5*c + 2)**2
Suppose -4*m + z + 97 = -38, -5*z + 25 = 0. Suppose -m*t**2 + 64*t**2 - 34*t**2 - t + 60 + 6*t = 0. What is t?
-3, 4
Let o(k) be the first derivative of 0*k**5 + 0*k**3 - 1/144*k**4 + 0*k + 1/720*k**6 - 17/2*k**2 + 13. Let h(t) be the second derivative of o(t). Factor h(p).
p*(p - 1)*(p + 1)/6
Let m be 291/(323301/(-14342)) - -3*6. Find i, given that 6*i**2 + m*i**3 + 8/11*i**4 - 112/11*i + 32/11 = 0.
-4, 1/2
Suppose 26*q + 8181 = 35*q. Let s = 915 - q. Factor 20/11*w**3 + s*w**2 + 32/11 + 80/11*w + 2/11*w**4.
2*(w + 1)**2*(w + 4)**2/11
Let f(r) = -3*r**2 - 17*r + 11. Let i be f(-6). Suppose -35*b**2 - 654*b**5 - 25*b**4 - 10*b - 54*b**3 + 649*b**i + 9*b**3 = 0. What is b?
-2, -1, 0
Let b(p) = 5*p**3 + 1237*p**2 - 2483*p + 1247. Let i(x) = -5*x**3 - 1238*x**2 + 2482*x - 1248. Let o(k) = 3*b(k) + 2*i(k). Factor o(f).
5*(f - 1)**2*(f + 249)
Let n(t) be the third derivative of -t**6/120 - 2*t**5/15 - 2*t**4/3 + 9*t**2 + 49*t. Factor n(u).
-u*(u + 4)**2
Let d = -1792744/3 - -597584. Let -7 - 1/3*n**4 + 32/3*n - 2/3*n**2 - d*n**3 = 0. What is n?
-7, -3, 1
Let r = 61190/57 - 794900/741. Determine p, given that r + 8/13*p - 2/13*p**2 = 0.
-1, 5
Let f(m) be the second derivative of -18*m - 3/32*m**4 - 9/4*m**2 + 0 - 2*m**3 + 3/32*m**5. Solve f(r) = 0 for r.
-2, -2/5, 3
Let t(d) be the second derivative of -d**6/240 + d**5/160 + d**4/8 + d**3/12 - d**2 - d - 1421. Factor t(v).
-(v - 4)*(v - 1)*(v + 2)**2/8
Let b = 89 + -79. Factor 17 + 28 - 5*v**4 + b*v + 20*v**2 - 60 - 10*v**3.
-5*(v - 1)**2*(v + 1)*(v + 3)
Suppose -2*x = 3*k - 22, 45*x - 49*x + 24 = k. Let q(j) be the first derivative of -4 - 2/45*j**x + 0*j + 0*j**3 - 1/6*j**4 + 4/9*j**2. Factor q(t).
-2*t*(t - 1)*(t + 2)**2/9
Let n(g) be the first derivative of 4*g**3/27 - 64*g**2/9 + 92*g + 6664. Solve n(c) = 0.
9, 23
Let y(l) = 2*l**2 + 41*l - 38. Let i be y(-22). Factor 2*n**4 + n**3 - 17*n**2 + i*n**2 - 15*n**2 + n**3.
2*n**2*(n - 1)*(n + 2)
Determine p so that 2/3*p**4 + 0 - 104/3*p**3 + 34*p**2 + 0*p = 0.
0, 1, 51
Let d(j) be the second derivative of j**7/105 - j**6/25 - 9*j**5/10 + 35*j**4/6 + 27*j + 15. Determine r, given that d(r) = 0.
-7, 0, 5
Let q(r) be the second derivative of r**5/330 + r**4/66 + r**3/33 - 63*r**2/2 - 132*r. Let i(x) be the first derivative of q(x). Factor i(h).
2*(h + 1)**2/11
Let -10/3 - 10/9*v**2 - 31/9*v - 1/9*v**3 = 0. Calculate v.
-5, -3, -2
Solve -35378/5*q - 2/15*q**3 - 4705274/15 - 266/5*q**2 = 0 for q.
-133
Factor 12321/4*l + 111/2*l**2 + 1/4*l**3 + 0.
l*(l + 111)**2/4
Let y(p) = -p**2 - 91*p - 421. Let b be y(-86). Let l(o) be the first derivative of b + 0*o + 4/3*o**3 + 3/2*o**2 + 1/4*o**4. Factor l(d).
d*(d + 1)*(d + 3)
Let g = 719 - 701. Factor -5*b**2 + 2 + g + 10*b**2 + 80*b - 35*b**3 - 3*b**2 + 23*b**2.
-5*(b - 2)*(b + 1)*(7*b + 2)
Let x(j) = -2*j**2 - 17*j - 3. Let y be x(-7). Let u(r) = -r**3 + 19*r**2 - 16*r + 14. Let h be u(y). Factor -b**2 + 9*b**