
4*l*(3*l - 1)**2*(7*l + 2)
Let q(y) be the second derivative of 705/2*y**4 + 1/5*y**6 - 3825*y**3 + 84*y + 6750*y**2 - 137/10*y**5 + 0. Determine d, given that q(d) = 0.
2/3, 15
Let q = -11/559 + 592/1677. Let t(a) be the first derivative of -3 + a**2 + a + q*a**3. Solve t(m) = 0 for m.
-1
Let c = 413 + -409. Let h(p) = 9*p**3 - 24*p**2 - 5*p + 16. Let l(k) = -80*k**3 + 215*k**2 + 45*k - 145. Let f(t) = c*l(t) + 35*h(t). Factor f(i).
-5*(i - 4)*(i - 1)*(i + 1)
Let u(p) = 25*p - 62. Let d be u(3). Factor d*f + 9*f**2 - 5*f + 8*f**2 - 21*f**2.
-4*f*(f - 2)
Let p be 3 - ((-180)/990 - 4/(-22)). Let k(z) be the third derivative of -5/6*z**p + 1/12*z**5 + 0*z**4 + 0 + 0*z - 10*z**2. Solve k(x) = 0.
-1, 1
Let y(q) be the third derivative of q**5/12 + 335*q**4/6 + 445*q**3/2 + 1042*q**2. Let y(l) = 0. Calculate l.
-267, -1
Suppose -3*b + t = -0*t - 15, -b - t = -1. Suppose 0 = b*k + l - 72 + 17, -3*k - 2*l = -45. Find p such that p**5 + 17*p**4 + p**3 - k*p**4 - 6*p**4 = 0.
0, 1
Let t(o) be the third derivative of 0 + 5/24*o**4 + 167*o**2 + 7/9*o**3 + 0*o + 1/180*o**5. Determine b, given that t(b) = 0.
-14, -1
Factor -126 + 57*v**2 + 254 + 892 - 52*v**2 + 520*v.
5*(v + 2)*(v + 102)
Suppose 0*d - 3*d = -5*m - 5, -5*m = -4*d + 10. Suppose -6*k = m*k. Factor 4 + 8*b - 3 + 7 + k + 2*b**2.
2*(b + 2)**2
Let n(s) be the first derivative of -4*s**3 + 0*s + 0*s**2 - 1/900*s**6 + 0*s**4 + 4 + 1/50*s**5. Let j(l) be the third derivative of n(l). Factor j(a).
-2*a*(a - 6)/5
Let n(r) be the first derivative of -r**4/28 + 5*r**3/7 - 27*r**2/14 - 96*r - 7. Let a(q) be the first derivative of n(q). What is h in a(h) = 0?
1, 9
Let g(d) be the first derivative of d**6/9 + 22*d**5/15 + 3*d**4/2 - 22*d**3/9 - 10*d**2/3 + 552. Suppose g(y) = 0. What is y?
-10, -1, 0, 1
Let y(k) = 3*k**4 + 12*k**3 - 48*k**2 + 62*k + 25. Let i(b) = 2*b**4 - b + 1. Let h(n) = -2*i(n) + y(n). Let s(f) be the first derivative of h(f). Factor s(r).
-4*(r - 4)**2*(r - 1)
Factor -931 + 97*o + 38*o - 16*o**2 - 120 + 117*o + 59.
-4*(o - 8)*(4*o - 31)
What is d in 1/4*d**2 - 23/4*d + 51/2 = 0?
6, 17
Let v(w) be the third derivative of 0 + 243/28*w**4 + 0*w**3 + 1/1176*w**8 - 3/70*w**6 - 4/245*w**7 + 54/35*w**5 - 187*w**2 + 0*w. Factor v(s).
2*s*(s - 9)**2*(s + 3)**2/7
Factor 27/5*s**2 + 0 - 54/5*s - 3/5*s**3.
-3*s*(s - 6)*(s - 3)/5
Factor 190*n**3 + 115*n**4 - 57*n**4 - 7*n**2 - 60*n**4 - 199*n**3 + 6*n.
-n*(n + 2)*(n + 3)*(2*n - 1)
Let l(h) = h + 5. Let s be l(0). Suppose -48 - 32 = -s*t. Let t*u - 8*u**2 + 2*u**3 - 8*u + 0*u = 0. What is u?
0, 2
Let r(s) be the third derivative of 5*s**4/12 - 7*s**3/6 + 39*s**2. Let t be r(21). Suppose -t*x + 2*x**2 + 207*x - 6*x**2 = 0. What is x?
0, 1
Let w(b) be the third derivative of b**5/60 - 5*b**4/8 - 182*b**3/3 + 5745*b**2 - 1. Factor w(m).
(m - 28)*(m + 13)
Suppose -78*j + 17*j - 3*j**2 - 500*j + 617 - 1175 = 0. Calculate j.
-186, -1
Let f(i) = 0*i**3 + 0*i - i**2 + i**3 + 2 - 6*i - i**2. Let u(y) = y**3 - 2*y**2 - 5*y + 2. Let a(q) = -4*f(q) + 5*u(q). Factor a(b).
(b - 2)*(b - 1)*(b + 1)
Let u = 270206/195 - 18012/13. Factor -4/15*s**2 + 4/15 + 2/15*s**3 - u*s.
2*(s - 2)*(s - 1)*(s + 1)/15
Let f(p) = 75*p**3 - 14697*p**2 + 2940*p. Let d(o) = 19*o**3 - 3674*o**2 + 735*o. Let w(q) = 15*d(q) - 4*f(q). Factor w(l).
-3*l*(l - 245)*(5*l - 1)
Let d = 104 - 182. Let g be (-4)/(-26) - (-168)/d - -5. Factor 662*b + 5*b**g - 662*b.
5*b**3
Solve -675*h - 585/2 + 35/2*h**2 = 0 for h.
-3/7, 39
Suppose 0 = 7*n + 47 - 96 + 35. Let b(j) be the second derivative of -5*j - 2/11*j**3 - 1/22*j**4 + 0 - 3/11*j**n. Determine p, given that b(p) = 0.
-1
Determine q, given that 207 + 57 - 320*q - 140*q**2 + 81 + 105*q**2 - 45 = 0.
-10, 6/7
Let y(b) be the first derivative of -b**6/15 - 354*b**5/25 - 88*b**4/5 - 1781. Factor y(l).
-2*l**3*(l + 1)*(l + 176)/5
Let r be ((-2997)/14910 - -1)/1. Let d = r - -1/994. Factor 0*b**4 + 0 - 4/5*b**5 + 0*b + d*b**3 + 0*b**2.
-4*b**3*(b - 1)*(b + 1)/5
Suppose -4*a - x + 0*x + 15 = 0, 5*a - 2*x - 22 = 0. Let d(o) = o**2 + 158*o + 5087. Let k be d(-45). Factor -2*w**k - 4/3*w - 1/3*w**a + 5/3*w**3 + 8/3.
-(w - 2)**3*(w + 1)/3
Let c(j) be the first derivative of j**4/14 - 26*j**3/21 - 33*j**2/7 + 90*j/7 + 10365. Solve c(t) = 0.
-3, 1, 15
Let f(c) = -6 - 11*c**2 - 29*c + 0 + 10*c**3 + 30*c. Let s(o) = -o**2 + o - 1. Suppose -4*m + 1 - 5 = 0. Let d(h) = m*f(h) + 6*s(h). Factor d(r).
-5*r*(r - 1)*(2*r + 1)
Suppose -5*s = -5*i + 2*s + 43, 4*s = -i - 13. Let d(u) be the first derivative of -5/2*u**2 - 7 - 10*u - 25/4*u**4 + 40/3*u**i. Factor d(f).
-5*(f - 1)**2*(5*f + 2)
Let m be -3 - ((-189)/3 - 4). Let y = -43 + m. Suppose -8*r**3 + 8 - 12*r**3 + 24*r - 18*r**2 - 15*r**3 + y*r**3 = 0. Calculate r.
-2, -2/7, 1
Let x(t) be the first derivative of 31 - 2/9*t**4 - 5/9*t**2 - 4/9*t + 22/27*t**3. What is m in x(m) = 0?
-1/4, 1, 2
Factor -33*n - 283*n**2 - 108*n - 18768*n**3 + 18625*n**3 - n**4.
-n*(n + 1)**2*(n + 141)
Factor 145/11*q - 34/11*q**2 + 0 + 1/11*q**3.
q*(q - 29)*(q - 5)/11
Let d(u) be the second derivative of u**4/30 - 10*u**3/3 - 531*u**2/5 + 11*u + 22. Factor d(j).
2*(j - 59)*(j + 9)/5
Suppose -5*z - 29 = -2*j - 0*z, 5*z + 33 = 4*j. Factor -35*v + 10*v - 6*v**2 - v**2 - 11*v + 4*v**j.
-3*v*(v + 12)
Let h(z) = -z**2 - 17*z - 64. Let m be h(-12). Let x be 290/(-60) + 10 + -1 + m. Factor -x + 2/3*d**2 + 1/2*d.
(d + 1)*(4*d - 1)/6
Let b(r) be the third derivative of -r**6/40 - r**5/2 + r**4/8 + 5*r**3 + 1205*r**2. Factor b(m).
-3*(m - 1)*(m + 1)*(m + 10)
Let t = 383 + -388. Let k(w) = -18*w**3 + 33*w**2 - 24*w. Let u(v) = v**4 - 36*v**3 + 67*v**2 - 48*v. Let z(j) = t*k(j) + 3*u(j). Factor z(r).
3*r*(r - 2)**3
Suppose 6*c - 82 = -70. Factor 8*h**c + 304*h - 304*h - 4*h**2 - 4.
4*(h - 1)*(h + 1)
Let m(q) = 2*q + q**2 - 290 - q + 289. Let w(s) = -s**2 + 2*s + 4. Let v be w(3). Let o(n) = 9*n**2 + 3*n - 24. Let h(i) = v*o(i) - 6*m(i). Factor h(b).
3*(b - 3)*(b + 2)
Suppose 382*d = -5*f + 385*d - 27, -4*f - 2*d = -18. Factor -184/5*u**2 + f + 8/5*u + 1058/5*u**3.
2*u*(23*u - 2)**2/5
Suppose t = 6*t + 3*u - 44, -5*u + 20 = 3*t. Suppose 21 = 2*l + 5*c, -l + 2*c = -7 + 10. Suppose 0 - 2/3*h**2 - 32/3*h**l + 4/3*h + t*h**4 = 0. What is h?
-1/3, 0, 2/5, 1
Suppose -29846 = 60*s + 15454. Let h = s - -6805/9. What is o in -h + 4/3*o - 2/9*o**2 = 0?
1, 5
Let p = 6718/23 - 292. Let a be (-75)/(-45) + 97*4/(-276). Find g, given that a + 4/23*g - p*g**2 = 0.
-1, 3
Let y(g) be the first derivative of 11 - 9/2*g**2 - 27/5*g**5 + 6*g - 21*g**3 - 75/4*g**4. Factor y(r).
-3*(r + 1)**3*(9*r - 2)
Let j(f) = 2*f**3 + 2*f**2 + 4*f - 1. Let s(q) = 2*q**4 - 496*q**3 + 42836*q**2 - 1267560*q + 3430718. Let y(h) = 4*j(h) - s(h). Factor y(l).
-2*(l - 83)**3*(l - 3)
Suppose -346*r = -368*r + 638. Let u be 45/(-60) - r/(-28). Find g such that -10/7*g + 4/7 + 8/7*g**2 - u*g**3 = 0.
1, 2
Let u(p) = -8392 + p**3 + p + 18*p - 9*p**2 + 8386. Let g be u(6). Suppose 0*f - 2*f**2 + g - 1/2*f**3 = 0. Calculate f.
-4, 0
Let c(h) be the third derivative of 2/105*h**7 - 33*h**2 + 0 + 0*h + 1/3*h**4 - 1/15*h**5 - 1/15*h**6 + 0*h**3. Factor c(k).
4*k*(k - 2)*(k - 1)*(k + 1)
Let j(o) be the first derivative of o**7/1050 - o**6/150 + 47*o**2/2 + 81. Let t(x) be the second derivative of j(x). Suppose t(y) = 0. What is y?
0, 4
Let u(x) = -x**2 + 12*x - 10. Let c be u(11). Let i be 2*c/(-2)*(-2 + 0). Factor -48*a - 27 - 24*a**i - 4*a**3 - 14 + 9.
-4*(a + 2)**3
Let u = 167 - 151. Let v be u/34*47/188. Factor 4/17*y + 0*y**2 - 4/17*y**3 - v + 2/17*y**4.
2*(y - 1)**3*(y + 1)/17
Let m(h) be the third derivative of h**7/1260 - h**6/108 + 7*h**5/180 - h**4/12 - 65*h**3/6 - h**2 + 1. Let u(z) be the first derivative of m(z). Factor u(v).
2*(v - 3)*(v - 1)**2/3
Factor 85973*s**4 - 85978*s**4 - 5*s**3 + 140*s + 80 + 44*s**2 + 16*s**2.
-5*(s - 4)*(s + 1)*(s + 2)**2
Let d be 160/60 - (1 + (-4)/3). Suppose 15 = 9*h - d. Factor 1/5*f + 1/5*f**h - 2/5.
(f - 1)*(f + 2)/5
Let v(w) = -11236*w - 67415. Let x be v(-6). Suppose 0*a + 4*a - 6 = -2*u, 3*a - 21 = 4*u. Find l, given that 2*l**4 - x + 1/2*l**5 - l**2 + 2*l**a - 5/2*l = 0.
-2, -1, 1
Let d(m) = -4*m**2 - 8*m - 11. Let v be d(-6). Let x = v + 124. Factor 31 - 14 - 12*q**3 + 14*q**2 - 2*q - x.
-2*q*(q - 1)*(6*q - 1)
Factor -2178 - 757/2*j**2 + 1650*j 