*m**y + 73*m**2 + 6*m - 8 = 0?
-2, -2/5, 2/7, 4
Let a(l) be the second derivative of 10/3*l**3 - 1/6*l**6 - 1/4*l**5 - 60*l**2 + 25/6*l**4 - 11*l + 3. Find b such that a(b) = 0.
-3, -2, 2
Let i(f) be the third derivative of 1/960*f**6 - 7/48*f**3 - 13/192*f**4 + 0*f - 1/96*f**5 - 71*f**2 + 0. Find o such that i(o) = 0.
-1, 7
Let c(d) be the first derivative of d**6/72 + 9*d**5/8 - d**3 + 3*d**2/2 + 71. Let m(t) be the third derivative of c(t). Factor m(v).
5*v*(v + 27)
Let x(y) be the first derivative of y**5/60 + y**4/2 + 215*y**3/36 + 71*y**2/2 + 105*y + 620. Let x(s) = 0. Calculate s.
-7, -6, -5
Suppose 0 = -p - k + 3, 2*p + 3*k - 2*k = 8. Suppose 0 = -p*l + 2402 - 617. Factor 52*t + 115*t**2 - 8 - 11*t - l*t**2 + 47*t.
-2*(11*t - 2)**2
Factor -13805*y - 96185 + 7581 - 3240*y**2 + 45881*y + 2*y**4 + 84*y**3 - 11998.
2*(y - 9)**3*(y + 69)
Suppose -10*i + 672 = 18*i. Factor i + 4*b**2 + 2*b**2 - 16*b - 4*b**2.
2*(b - 6)*(b - 2)
Let a be (-1)/(-59) - (-42271206120)/276120. Find d such that 8425/2*d**3 - 80*d**4 + 1/2*d**5 - 78732 - a*d - 70065*d**2 = 0.
-1, 54
Let b = -458 + 460. Solve 23509*g**b - 48*g - 25 + 105 - 23505*g**2 = 0.
2, 10
Let j(z) be the first derivative of z**4/4 - z**2/2 + 115*z - 10. Let y be j(0). Factor -55*t - 50*t + y*t + 5*t**2.
5*t*(t + 2)
Let r(i) be the first derivative of -i**6/1620 - i**5/270 + 26*i**3/3 - 9. Let v(q) be the third derivative of r(q). Factor v(g).
-2*g*(g + 2)/9
Let o(r) be the third derivative of -r**7/6300 - 11*r**6/1800 - r**5/30 - 5*r**4/8 - r**3/2 + 6*r**2. Let c(k) be the second derivative of o(k). Solve c(w) = 0.
-10, -1
Let w(g) = -316*g**3 - 3608*g**2 - 7504*g - 2464. Let m(c) = 29*c**3 + 328*c**2 + 682*c + 224. Let s(k) = 32*m(k) + 3*w(k). Factor s(u).
-4*(u + 2)*(u + 14)*(5*u + 2)
Let c(m) = -29557*m - 206897. Let h be c(-7). Factor 3/2*g**3 - 12*g - 18 + 3/2*g**h.
3*(g - 3)*(g + 2)**2/2
Let b(a) be the second derivative of -3*a - 5*a**3 + 5/12*a**4 + 0 + 1/4*a**5 + 0*a**2. Let b(l) = 0. What is l?
-3, 0, 2
Let w = 2721/1414 + 73/202. Let f(z) be the first derivative of -w*z + 8/21*z**6 + 20/3*z**3 + 46/7*z**4 + 8/7*z**2 + 92/35*z**5 - 10. Let f(n) = 0. What is n?
-2, -1, 1/4
Determine i, given that -1/3*i**4 + 0*i**3 + 0*i**2 + 1/3*i**5 + 0*i + 0 = 0.
0, 1
Let i(a) be the second derivative of a**7/840 + a**6/20 - a**4/6 - 50*a**3/3 + 74*a + 1. Let g(o) be the third derivative of i(o). Suppose g(f) = 0. What is f?
-12, 0
Let d = 7858/39265 + -1/7853. Let z(w) be the first derivative of 4/15*w**3 - 1/30*w**6 + 0*w - 2/5*w**4 + 0*w**2 + 4 + d*w**5. Factor z(v).
-v**2*(v - 2)**2*(v - 1)/5
Let k(a) = 26*a**2 + a. Let l(s) = 628*s**2 + 940*s + 912. Let c(t) = 24*k(t) - l(t). What is i in c(i) = 0?
-228, -1
Let o(a) be the second derivative of 0 + 0*a**2 + 0*a**3 - 1/2*a**6 + 0*a**4 - 1/2*a**5 - 5/42*a**7 + 34*a. Factor o(j).
-5*j**3*(j + 1)*(j + 2)
Suppose -16*p + 11 - 27 = 0. Let z be (-6 + (-12)/(-4))*p. What is u in 14/3*u**z + 12*u + 16/3 - 22*u**2 = 0?
-2/7, 1, 4
Let o = -149 - 8. Let v = -152 - o. Find q such that -1 + 0*q**4 - 4/3*q**3 + q**2 + 7/6*q + 1/6*q**v = 0.
-3, -1, 1, 2
Find u, given that 597634*u - u**2 - u**4 - 5*u**4 - 597610*u + 7*u**2 + 3*u**5 - 27*u**3 = 0.
-2, -1, 0, 1, 4
Let n be ((-4)/(-28))/(15/420). Let g(s) be the first derivative of -12*s**2 + 3*s**3 + 3/2*s**n + 12*s + 16 - 3/5*s**5. Solve g(c) = 0.
-2, 1, 2
Let y(k) be the first derivative of -1/3*k**2 + 0*k**3 + 1/3*k**4 + 0*k - 1/9*k**6 + 12 + 0*k**5. Factor y(v).
-2*v*(v - 1)**2*(v + 1)**2/3
Let f(r) be the first derivative of -r**5/270 - r**4/54 + r**3/9 - 41*r**2 + 14. Let g(x) be the second derivative of f(x). Solve g(a) = 0 for a.
-3, 1
Let m(r) be the first derivative of -27 + 15*r + 5/8*r**2 - 5/48*r**4 + 0*r**3. Let o(f) be the first derivative of m(f). Factor o(i).
-5*(i - 1)*(i + 1)/4
Let s(g) be the third derivative of 0 + 2*g - 2*g**3 + 3/16*g**4 + 1/80*g**5 + 6*g**2. Suppose s(w) = 0. Calculate w.
-8, 2
Suppose 6*y + 8*y - 1288 = 0. Factor -28*h**4 - 3*h - 19*h**2 - 56*h**2 - 13*h - y*h**3 - 5*h**2.
-4*h*(h + 1)*(h + 2)*(7*h + 2)
Let a = 87 + -82. Let -15*m**4 - 22*m**5 + 75*m**5 - 24*m**5 - 20*m**3 - 24*m**a = 0. What is m?
-1, 0, 4
Let y(m) be the second derivative of 8*m**6/35 - 6894*m**5/35 + 1322497*m**4/28 - 47109*m**3 + 35301*m**2/2 + 10*m - 54. Find t such that y(t) = 0.
1/4, 287
Let m(n) = -n**2 + 15*n - 32. Let g(h) be the first derivative of 2*h + 15. Let c(v) = 36*g(v) + 4*m(v). Factor c(x).
-4*(x - 14)*(x - 1)
Let r(m) be the third derivative of -m**4 + 0*m - 1/840*m**6 - 55*m**2 + 5/84*m**5 + 0 + 24/7*m**3. Factor r(j).
-(j - 12)**2*(j - 1)/7
Let 117/2*j + 353/3 + 1/6*j**3 - 59*j**2 = 0. What is j?
-1, 2, 353
Factor 22/17*m + 24/17*m**2 + 2/17*m**3 + 0.
2*m*(m + 1)*(m + 11)/17
Let z = -453619/7 - -64806. Factor -3/7*k**4 + 20/7*k + 0 - 44/7*k**2 + z*k**3.
-k*(k - 5)*(k - 2)*(3*k - 2)/7
Let t = -2/18407 - -18419/110442. Factor -t*f**2 - 242/3 - 22/3*f.
-(f + 22)**2/6
Let g(y) be the third derivative of -y**6/60 + 3203*y**5/30 - 7990*y**2. Find j, given that g(j) = 0.
0, 3203
Let p = 109572/10043 - 12/10043. Factor -1800/11 - p*o - 2/11*o**2.
-2*(o + 30)**2/11
Factor 0 - 4/5*q**5 - 12/5*q**3 - 4/5*q**2 + 3*q**4 + 0*q.
-q**2*(q - 2)**2*(4*q + 1)/5
Suppose -4 - 1 = -5*n, -5*n - 15 = -5*d. What is s in 12*s**4 + s**5 - 99*s**2 + 24*s**4 - 216*s + 19*s**3 - 25*s**d - 108 = 0?
-6, -1, 3
Let h(v) = 148*v**5 + 444*v**4 + 24*v**3 + 6. Let w(t) = t**4 - t**3 - 1. Let g(k) = -2*h(k) - 12*w(k). What is j in g(j) = 0?
-3, -3/74, 0
Solve -28*m**2 + 115*m**2 - 15 - 10*m - 59*m**2 - 23*m**2 = 0.
-1, 3
Let l(b) be the second derivative of -b**5/10 - 26*b**4/3 + 221*b**3/3 - 168*b**2 + 4188*b. Suppose l(d) = 0. Calculate d.
-56, 1, 3
Factor -975*r**4 - 65*r**3 - r**5 + 37*r + 173*r**3 - 962*r**4 + 1903*r**4 - 110*r**2.
-r*(r - 1)**3*(r + 37)
Let c(o) be the first derivative of -4*o**3/3 - 1636*o**2 - 669124*o - 1285. Find i, given that c(i) = 0.
-409
Let l(s) be the first derivative of -2*s**3/3 - 33*s**2 - 364*s - 477. Factor l(f).
-2*(f + 7)*(f + 26)
Let q(a) be the second derivative of 10*a**7/147 + 46*a**6/105 - 33*a**5/7 + 277*a**4/21 - 352*a**3/21 + 72*a**2/7 + 5*a + 14. Determine d, given that q(d) = 0.
-9, 2/5, 1, 2
Let x(c) be the second derivative of -c**5/80 - 2845*c**4/16 - 8094025*c**3/8 - 23027501125*c**2/8 + 695*c. Suppose x(g) = 0. Calculate g.
-2845
Suppose 2*i = -3*m + 10, -10*i = -6*i + 5*m - 18. Let n be (i - 1)*(-2 + 20). Solve 6*g**2 + n + 18*g + 2/3*g**3 = 0 for g.
-3
Let j(t) = 61*t**2 - 549*t - 165. Let i(f) = -180*f + 28*f + 31*f**2 + 156*f - 83 - 279*f. Let g(u) = 5*i(u) - 3*j(u). Find l such that g(l) = 0.
-2/7, 10
Let a(l) be the second derivative of 1/36*l**6 + 7*l - 4/15*l**5 + 2/3*l**2 - 19/18*l**3 - 4 + 19/24*l**4. Factor a(v).
(v - 4)*(v - 1)**2*(5*v - 2)/6
Let x(o) be the third derivative of -o**7/2310 + 14*o**6/165 - 838*o**5/165 + 504*o**4/11 - 1944*o**3/11 + 666*o**2 + o. Factor x(z).
-(z - 54)**2*(z - 2)**2/11
Let n(u) be the first derivative of -2*u**3/15 + 176*u**2/5 - 15488*u/5 - 6841. Let n(y) = 0. Calculate y.
88
Let f(m) = 49*m**3 - 109*m**2 - 113*m - 25. Let i(x) be the first derivative of -x**4/4 + x**3/3 - x**2/2 - x + 60. Let s(z) = 2*f(z) - 2*i(z). Factor s(y).
4*(y - 3)*(5*y + 2)**2
Let x(i) be the third derivative of -i**10/20160 - i**9/3360 + i**7/420 + i**4/24 + 6*i**3 + i**2 - 10. Let g(f) be the second derivative of x(f). Factor g(r).
-3*r**2*(r - 1)*(r + 2)**2/2
Let g = -161 + 165. Factor -8*w**3 - 14*w**4 + 1 + 30*w**4 - 12*w**4 + 4*w - 8*w**2 + 3 + g*w**5.
4*(w - 1)**2*(w + 1)**3
Let q(m) be the first derivative of m**4 - 16*m**3/3 - 104*m**2 - 320*m - 846. Factor q(g).
4*(g - 10)*(g + 2)*(g + 4)
Let f be (-108)/1404 + 1434/390. Factor f*k**2 + 216/5*k + 192/5 - 6/5*k**3.
-6*(k - 8)*(k + 1)*(k + 4)/5
Factor 2*c**3 - 1/6*c**4 + 100/3 - 37/6*c**2 - 5*c.
-(c - 5)**2*(c - 4)*(c + 2)/6
Factor 9/5*l + 0 + 8/5*l**2 - 1/5*l**3.
-l*(l - 9)*(l + 1)/5
Solve -865/4*t**2 - 132 - 334*t - 25/4*t**3 = 0 for t.
-33, -4/5
Let k = 8 - 11. Let a be (-4)/(-1 + k) - (1 - 4). Solve -67*f**a + 2*f**5 + 73*f**4 + 9*f**3 - f**5 = 0 for f.
-3, 0
Let d(t) be the first derivative of -t**4/18 + 4*t**3/27 + t**2/3 - 1697. Solve d(m) = 0.
-1, 0, 3
Suppose -130/3 - 1/3*n**