of -k**6/15 + 647*k**5/20 - 107*k**4/4 - 647*k**3/6 + 323*k**2/2 + 2705*k. Suppose o(l) = 0. What is l?
-1, 1/2, 1, 323
Let t(m) be the first derivative of -7*m**5/5 + 201*m**4/4 - 1307*m**3/3 - 1965*m**2/2 - 450*m - 685. Factor t(y).
-(y - 15)**2*(y + 1)*(7*y + 2)
Let w(z) be the first derivative of -5*z**6/6 + 11*z**5 + 125*z**4/4 + 65*z**3/3 + 3919. What is l in w(l) = 0?
-1, 0, 13
Let a be (81/147)/((-29)/(-18879)*31). Find f such that -36*f + 28 + a*f**2 = 0.
14/9
Let r be 8/8 + 3/24*8. Let k = -1/442 - -1775/3094. Solve -k + 10/7*d**r - 18/7*d = 0.
-1/5, 2
Suppose 0 = -8*d + 7*d + 3. Suppose -4*y = -3*y, 0 = -4*m + d*y + 176. Let -1 - 1 + 0*u**2 + 42*u**4 - m*u**4 + 4*u**2 = 0. What is u?
-1, 1
Let l = 9440/3537 - 8/3537. Suppose -2/3*m**3 + 4/3 + l*m + m**2 - 1/3*m**4 = 0. What is m?
-2, -1, 2
Let g(r) = r**3 - 4*r**2 - 2*r - 1. Let m(n) = -16*n**3 - 626*n**2 + 468*n + 186. Let a(u) = 2*g(u) + m(u). Factor a(d).
-2*(d - 1)*(d + 46)*(7*d + 2)
Find s such that 7*s + 21*s**2 - 709*s**4 - 32*s + 697*s**4 - s**5 - 81*s**2 - 46*s**3 = 0.
-5, -1, 0
Let l = 775 + -772. Let x(r) be the third derivative of 0*r - 6*r**2 + 0 + 9/2*r**l + 3/4*r**4 + 1/20*r**5. Factor x(z).
3*(z + 3)**2
Let m(g) be the second derivative of g**5/5 + 315*g**4 + 198450*g**3 + 62511750*g**2 + 2806*g. Solve m(n) = 0.
-315
Let d be 3 + 4 + (221 - 228). Solve 3/4*f**2 - 9/4*f + d = 0 for f.
0, 3
Let q = -1864/5 - -5632/15. Let 112/3*m**4 - q + 20/3*m + 32*m**2 - 220/3*m**3 = 0. What is m?
-2/7, 1/4, 1
Suppose -334 - 1886 = 30*a. Let d be (-2)/15 + a/(-555). Let -2/5*y**4 + 4/5*y**2 + 0 + d*y - 2/5*y**3 = 0. What is y?
-2, 0, 1
What is b in 1860 - 5584/3*b + 4/3*b**2 = 0?
1, 1395
Let i(l) be the third derivative of -1/100*l**5 + 5/2*l**4 - 250*l**3 + 0 + 0*l + 219*l**2. Factor i(n).
-3*(n - 50)**2/5
Let u(o) be the first derivative of o**4/2 - 52*o**3/3 - 91*o**2 + 232*o + 4166. Factor u(j).
2*(j - 29)*(j - 1)*(j + 4)
Let q(x) = -37*x**2 - 1. Let j(o) = 550*o**2 - 820*o - 33605. Let b(c) = -j(c) - 15*q(c). Find d such that b(d) = 0.
-82
Let s be (-11)/132 + 5145/1260. Solve -26/7*i**3 - 4/7*i**s - 16/7 - 8*i - 60/7*i**2 = 0.
-2, -1/2
Let p(x) = 14*x + 164. Let v be p(-13). Let l be -5 - ((-21)/14)/(v/(-84)). Determine j so that 4/17 - 2/17*j**3 - 4/17*j**l + 2/17*j = 0.
-2, -1, 1
Let d = 2/845 - -841/1690. Let h(l) be the second derivative of 23*l + 2*l**3 - 1/28*l**7 - 9/20*l**5 + 0 + 1/4*l**6 - d*l**4 + 0*l**2. Factor h(i).
-3*i*(i - 2)**3*(i + 1)/2
Let t(j) = j**3 + 23*j**2 - 205*j - 34. Let s be t(7). Factor 0*h**2 + 1/6*h**3 - 7/6*h + s.
(h - 2)*(h - 1)*(h + 3)/6
Determine y, given that 20*y**2 + 776/7*y + 960/7 - 4/7*y**3 = 0.
-3, -2, 40
Let z be ((-122)/(-192))/1*(-38)/(-28). Let s = -1/192 + z. Factor s + 2/7*k**2 + 8/7*k.
2*(k + 1)*(k + 3)/7
Suppose -5*m + 17*m - 14820 = 0. Factor -3*l**2 + 4*l**2 + 4*l**2 - 340*l + m + 4545.
5*(l - 34)**2
Find c, given that 16/3 - 10/3*c**2 - 2*c = 0.
-8/5, 1
Let s(y) = -3*y**4 + 143*y**3 + 3193*y**2 + 3052*y - 5. Let d(b) = 4*b**4 - 216*b**3 - 4790*b**2 - 4577*b + 7. Let p(a) = -5*d(a) - 7*s(a). Factor p(q).
q*(q + 1)*(q + 39)**2
Let f(d) = 2*d**3 + 21*d**2 + 7*d - 13. Let g be f(-10). Let b(o) be the second derivative of -9/5*o**5 + 0*o**2 + g*o + 11/3*o**4 + 0 - 4/3*o**3. Factor b(u).
-4*u*(u - 1)*(9*u - 2)
Let u be (102/90 + (-4)/3)*(-23 - -7). Factor -4*w**2 - 8/5*w + u - 6/5*w**3.
-2*(w + 2)**2*(3*w - 2)/5
Factor -2/3*u**3 - 132496/3 + 724/3*u**2 - 64792/3*u.
-2*(u - 182)**2*(u + 2)/3
Let 2*j**5 - 14504*j - 2865*j**2 - 170*j**4 - 5656*j + 2145*j**2 - 945*j**3 + 2390*j**3 + 3*j**5 = 0. What is j?
-3, 0, 8, 21
Suppose 4*v - 32 = 4*q, -3*v = -4*v - 3*q. Find l, given that 5*l**2 - v*l**2 - 2*l**2 + 16*l + 8*l = 0.
0, 8
Let p(q) be the first derivative of -4*q**5/5 - 16*q**4 + 140*q**3 - 1057. Solve p(k) = 0 for k.
-21, 0, 5
Let b(g) be the second derivative of -g**7/294 + 8*g**6/15 - 1153*g**5/35 + 7212*g**4/7 - 125856*g**3/7 + 1247616*g**2/7 + 43*g + 49. Factor b(w).
-(w - 38)**2*(w - 12)**3/7
Suppose -10/3 + 4/3*x**2 + 6*x - 20/3*x**3 + 2/3*x**5 + 2*x**4 = 0. Calculate x.
-5, -1, 1
Let z be 3/(0 + (-24)/8). Let w(i) = -16*i**2 + 2 + i**3 + 15*i**2 - 1. Let j(b) = 5*b**4 - 8*b**3 - 2*b**2 + 5*b - 3. Let a(c) = z*j(c) - 3*w(c). Factor a(m).
-5*m*(m - 1)**2*(m + 1)
Let x(b) be the first derivative of -b**4/4 + 9*b**3 + b**2/2 - 27*b - 8689. Factor x(q).
-(q - 27)*(q - 1)*(q + 1)
Let c(t) = -2*t**3 + 27*t**2 - 18*t + 67. Let j be c(13). Let k(q) be the first derivative of -8/3*q**3 - 20 + 0*q**j - 1/10*q**5 + 0*q + q**4. Factor k(z).
-z**2*(z - 4)**2/2
Suppose 3*u + u - 1037 = j, 2*u - 5*j = 505. Let k = -260 + u. Factor 2/9*d**2 + 2/9*d + k.
2*d*(d + 1)/9
Let t(s) = 3*s**3 + 6*s**2. Let l(h) = -h**4 + 8*h**3 + 17*h**2. Suppose 16*q - 44 = -172. Let n(i) = q*t(i) + 3*l(i). Factor n(u).
-3*u**2*(u - 1)*(u + 1)
Let z(b) be the third derivative of -b**6/1980 + b**5/220 + 55*b**3/6 - 60*b**2. Let j(f) be the first derivative of z(f). Factor j(l).
-2*l*(l - 3)/11
Let m(y) be the second derivative of 2/15*y**3 - 1/75*y**5 - y - 5/2*y**2 + 1/60*y**4 + 0 - 1/300*y**6. Let p(z) be the first derivative of m(z). Factor p(u).
-2*(u - 1)*(u + 1)*(u + 2)/5
Suppose 0 = 4*o + m - 12, 290*o - 4*m - 12 = 286*o. Let i(u) be the second derivative of 0 + 0*u**o + 5/3*u**4 - 1/5*u**5 + 0*u**2 + 2*u. Factor i(a).
-4*a**2*(a - 5)
Let 5316*m**2 - 1881*m + 5329*m**2 - 3*m**3 - 11590*m**2 - 939 = 0. Calculate m.
-313, -1
Let l(i) = 13*i**3 + 2548*i**2 + 327684*i + 4. Let q(k) = -15*k**3 - 2545*k**2 - 327685*k - 5. Let p(x) = -5*l(x) - 4*q(x). Factor p(z).
-5*z*(z + 256)**2
Let t(b) = 8*b**3 - 12*b**2 - 21*b + 5. Let k(m) = 22*m**3 - 36*m**2 - 62*m + 14. Let g(c) = -5*k(c) + 14*t(c). Factor g(z).
2*z*(z + 2)*(z + 4)
Let n(p) = -p + 19. Let r be n(0). Suppose -29 = -5*u - r. Suppose 5*o**2 - 64*o - o**u + 32 + 28*o = 0. Calculate o.
1, 8
Let s(f) = -f**5 + f**4 + f + 3. Let t(l) = 9*l**5 + 96*l**4 + 84*l**3 - 486*l**2 + 291*l - 18. Let z(x) = -6*s(x) - t(x). Suppose z(u) = 0. What is u?
-33, -3, 0, 1
Let d(u) be the first derivative of 121*u**5/30 - 517*u**4/12 + 179*u**3/6 - 6*u**2 + 3815. Factor d(l).
l*(l - 8)*(11*l - 3)**2/6
Factor -1/3*j**4 - 54*j**2 + 28/3*j**3 + 108*j - 63.
-(j - 21)*(j - 3)**2*(j - 1)/3
Let o(h) be the first derivative of h**5/15 + 5*h**4/6 - 71*h**3/9 + 10*h**2 + 4870. Factor o(z).
z*(z - 4)*(z - 1)*(z + 15)/3
Find j such that 51/7*j**2 + 10/7*j**3 - 972/7 - 432/7*j - 1/7*j**4 = 0.
-6, -2, 9
Factor 0 + 0*h + 9/5*h**3 + 3/5*h**4 + 6/5*h**2.
3*h**2*(h + 1)*(h + 2)/5
Determine r so that -r**4 + 336 - 57335*r**2 - 29*r**3 - 781*r - 78*r**3 + 115401*r**2 - 57513*r**2 = 0.
-112, 1, 3
Suppose -5*z + 67 = 27. Let w be ((-172)/32 - -5)/((-6)/z). Let -1/2*j**3 - 1/2*j**2 + w + 1/2*j = 0. What is j?
-1, 1
Let w be 3312/1242*2/(-8)*(-1 - 2). Solve -6/11*l + 60/11*l**w + 0*l**3 - 36/11 + 6/11*l**5 - 24/11*l**4 = 0.
-1, 1, 2, 3
Let c(m) = -6*m**4 - 152*m**3 + 34*m**2 - 60*m - 64. Let r(o) = 2*o**4 + 47*o**3 - 11*o**2 + 20*o + 21. Let b(f) = -5*c(f) - 16*r(f). Factor b(s).
-2*(s - 4)*(s - 2)*(s + 1)**2
Let v = 20 + -26. Let j be ((-2)/v)/(12/144). Solve -4*d**4 + 5*d**2 - 3*d**j + 2*d**4 = 0 for d.
-1, 0, 1
Let r(o) be the first derivative of -o**4/6 - 22*o**3/9 - 10*o**2/3 - 607. Suppose r(g) = 0. Calculate g.
-10, -1, 0
Let x = -116029 + 812503/7. What is p in -3/7*p**2 - 7500/7 + x*p = 0?
50
Let m(n) be the first derivative of 15*n - 5/3*n**3 - 74 + 5*n**2. Let m(v) = 0. Calculate v.
-1, 3
Let j = -74911 + 299645/4. Factor 0*h - j*h**3 + 3/4*h**2 + 0.
-h**2*(h - 3)/4
Solve -67*l**3 + 99/2*l - 5/2*l**5 + 0 - 34*l**4 + 54*l**2 = 0.
-11, -3, -3/5, 0, 1
Let z(i) be the third derivative of 1/420*i**6 - i + 3*i**2 - 1/1176*i**8 - 1/735*i**7 + 0*i**3 + 0*i**4 + 1/210*i**5 + 0. Suppose z(j) = 0. What is j?
-1, 0, 1
Suppose -272*c + 262*c - 40 = 0. Let n be (8/(-70))/(c/56). Factor n + 58/5*l**2 - 48/5*l - 18/5*l**3.
-2*(l - 2)*(l - 1)*(9*l - 2)/5
Let r(i) = -i**3 + 2*i**2 + i. Let l(m) = 5*m**3 + 4*m**2 - 173*m - 180. Let z(f) = 3*l(f) + 12*r(f). Factor z(n).
3*(n - 9)*(n + 1)*(n + 20)
Let f(t) be the first derivative of -2*t**6/3 - 8*t**5 + 57*t**4 + 40*t**3/3 - 112*t**2 - 929. Suppose f(k) = 0. Calculate k.
-14, -1, 0, 1, 4
Let b(l) be the first 