(-96) - 28). Factor -40/11*m + i + 2/11*m**2.
2*(m - 10)**2/11
Let c(o) be the first derivative of o**6/12 + 59*o**5/15 + 92*o**4/3 + 496*o**3/9 - 256*o**2/3 + 3026. What is v in c(v) = 0?
-32, -4, 0, 2/3
Let j(f) be the third derivative of -f**8/26880 - 47*f**7/10080 - 143*f**4/24 - 161*f**2. Let v(y) be the second derivative of j(y). Factor v(m).
-m**2*(m + 47)/4
Let w(z) = -z**2. Let x(n) = 0*n + 5*n**2 - 511*n + 3*n**2 + 73*n + 15987 - 2*n**2. Let c(y) = 3*w(y) + x(y). Let c(m) = 0. What is m?
73
Let k = 2439 + -1600. Factor 272*i - 1189 - 3*i**2 + 11*i - 127*i - k.
-3*(i - 26)**2
Let j(g) be the first derivative of g**4/10 + 6*g**3/5 + 3*g**2 - 10*g - 6906. Factor j(t).
2*(t - 1)*(t + 5)**2/5
Let p = 61586 - 429069/7. Let n = 291 - p. Factor -4/7*w**2 + n*w + 0.
-4*w*(w - 1)/7
Let d(j) = -26*j + 1145 - 541 - 571 + 4*j**2. Let g be d(5). Factor -54*p - 147/4*p**g + 12 + 315/4*p**2.
-3*(p - 1)*(7*p - 4)**2/4
Let k be ((1/2)/1)/((-5)/10). Let b be 3 + (13 - 11) + (-4 - k). Factor 12*y - 7*y**3 - 6*y**b + 5*y**4 - 3*y - 6*y + 5*y**2.
y*(y - 1)**2*(5*y + 3)
Factor -7443468/5 + 742/5*r**3 - 18450*r**2 + 3903282/5*r - 2/5*r**4.
-2*(r - 123)**3*(r - 2)/5
Let p(a) be the second derivative of 5/4*a**4 - 13/6*a**3 + 1/24*a**5 - 1/72*a**6 + 0 - 38*a + 0*a**2. Let f(k) be the second derivative of p(k). Factor f(w).
-5*(w - 3)*(w + 2)
Suppose 20/3*d**2 + 40/3*d**3 - 20/3*d**4 + 0 + 2/3*d**5 - 14*d = 0. What is d?
-1, 0, 1, 3, 7
Let x = 445701 + -445697. Factor 0 + 5/2*g**x - 10*g**3 - 5/2*g**2 + 10*g.
5*g*(g - 4)*(g - 1)*(g + 1)/2
Let z = -886346/7 + 126621. What is q in 9/7*q - 3/7*q**2 + 0 - z*q**4 - 5/7*q**3 = 0?
-3, 0, 1
Factor 19*s - 219/4 - 1/4*s**2.
-(s - 73)*(s - 3)/4
Let b be 390/(-39)*(-10)/1650*162. Find g, given that b - 2/11*g**2 - 30/11*g = 0.
-18, 3
Let a(s) = -2*s**3 - 3*s**2 + 2*s - 1. Let b be a(-3). Suppose -10*r + 70 - b = 0. Factor 911*m**5 - m**3 + 3*m**3 - 913*m**r.
-2*m**3*(m - 1)*(m + 1)
Let v(f) be the third derivative of f**8/2520 + f**7/225 + f**6/90 - 2*f**5/45 - 14*f**4/45 - 32*f**3/45 - 68*f**2 + f. Let v(c) = 0. What is c?
-4, -2, -1, 2
Let u be (1 + 230/50 - (18 - 12))*(-3)/2. Factor 4/5*y**2 - 1/5*y**4 - 12/5*y + u*y**3 + 0.
-y*(y - 3)*(y - 2)*(y + 2)/5
Let i = 33077/2516 - 499/1258. Factor i*l**3 + 4913/4*l - 1/4*l**4 + 0 - 867/4*l**2.
-l*(l - 17)**3/4
Suppose -148 = -1298*f + 1261*f. Let 4/11*b**f + 0 - 2/11*b**3 + 0*b - 4/11*b**2 + 2/11*b**5 = 0. What is b?
-2, -1, 0, 1
Suppose 0 = 3*z + 1399*a - 1396*a + 24, 2*z + a + 4 = 0. Suppose -m**5 + 23/4*m**z + 0 - 15/2*m**3 + 7/4*m**2 + m = 0. Calculate m.
-1/4, 0, 1, 4
Let i = -18 - -20. Suppose 0*n**2 + 159*n - 174*n + 6*n**i - n**2 = 0. Calculate n.
0, 3
Let y(f) = -16*f**3 - 2*f**2 + 5*f - 2. Let k be y(2). Let l = 259/2 + k. Let 0 - 2*n**2 - 1/2*n**3 - l*n = 0. Calculate n.
-3, -1, 0
Suppose 3*t - 5*c = -0*t - 85, 3*c = t + 23. Let a be (-5)/(t/181) + -7. Determine m, given that 4/7 + 44/7*m - 216/7*m**4 + 36/7*m**3 + a*m**2 = 0.
-1/3, -1/6, 1
Solve -2/7 + 2/7*y**2 + 11/7*y - 11/7*y**3 = 0 for y.
-1, 2/11, 1
Suppose i + 159*u + 17 = 163*u, 0 = -5*i + 22*u - 95. Factor 8/7 + 10/7*n**2 - 2/7*n**i - 16/7*n.
-2*(n - 2)**2*(n - 1)/7
Let h = 50 - 48. Let n be 1 - 4 - (-120)/20. Suppose 30*b - 14*b**2 - h*b**n + 5*b**3 + 12 - b**3 - 30 = 0. Calculate b.
1, 3
Let m = -49135 - -343948/7. Determine z, given that -m*z**2 + 9/7 - 6/7*z = 0.
-3, 1
Let f = 352 + -329. Let b(a) = -2*a**3 + 45*a**2 + 22*a + 27. Let z be b(f). Factor 0*h + 0 + 10/3*h**2 + 5/3*h**3 - 5/3*h**z.
-5*h**2*(h - 2)*(h + 1)/3
Let v(h) = 621*h**2 + 2455*h + 22. Let i(t) = -2485*t**2 - 9820*t - 95. Let l(m) = -6*i(m) - 25*v(m). Factor l(d).
-5*(d + 4)*(123*d - 1)
Let c(q) be the second derivative of q**5/30 - 49*q**4/6 + 64*q**3 - 572*q**2/3 + 1702*q. Factor c(y).
2*(y - 143)*(y - 2)**2/3
Let w(t) be the first derivative of -1/2*t**2 + 1/4*t**4 - 1/15*t**5 + 9 - 1/9*t**3 + 2/3*t. What is i in w(i) = 0?
-1, 1, 2
Suppose -5*a = y - 24, -14 = a + 5*y - 38. Let m(b) be the first derivative of -3/4*b**a - 24*b + 2*b**3 + 3 + 6*b**2. Find q such that m(q) = 0.
-2, 2
Suppose -y - 2*y = -144. Let b be y*(-4)/(-7 - 1). Find w such that -11*w - 5*w**2 - 29 + w + b = 0.
-1
Suppose 3 = 7*x - 3*x - 5*h, x + 2 = 4*h. Suppose 4*z - x*z = 44. Find b such that 6*b**2 - 39*b**5 + 14*b**5 + 15*b + z*b**5 - 12*b**4 - 1 + 7 - 12*b**3 = 0.
-2, -1, 1
Let r(u) = -2*u**4 - u**3. Let s(k) = -3*k**3 + 3*k**3 - 13*k**3 - 18*k**4 + 6*k**2 + 36*k - 3*k**3. Let m(i) = -8*r(i) + s(i). Find n such that m(n) = 0.
-3, 0, 2
Let m(z) be the second derivative of z**6/105 + 11*z**5/7 + 3133*z**4/42 + 1980*z**3/7 + 2916*z**2/7 + 819*z. What is f in m(f) = 0?
-54, -1
Let h(j) be the third derivative of -157*j**5/60 + 137*j**4/24 - 2*j**3/3 + 7*j**2 - 1. Let c(r) = -r**2 - 2*r - 1. Let g(f) = 6*c(f) - h(f). Factor g(v).
(v - 1)*(151*v + 2)
Suppose -4858*g + 4927*g - 207 = 0. Determine y, given that 4/3*y**4 - 192*y + 388/3*y**2 + 256/3 - 24*y**g = 0.
1, 8
Let n(i) be the second derivative of -i**6/1620 + i**4/108 - 11*i**3/3 + 61*i. Let k(d) be the second derivative of n(d). Determine v so that k(v) = 0.
-1, 1
Let x be (-1)/4 + (52850/920)/5. Let r = -40/23 + x. Factor -3/2 - 19/2*d**4 + r*d + 21*d**3 + 3/2*d**5 - 21*d**2.
(d - 3)*(d - 1)**3*(3*d - 1)/2
Let y(w) be the first derivative of w**8/5040 - w**6/216 + w**4/18 + 55*w**3/3 - 48. Let t(r) be the third derivative of y(r). What is o in t(o) = 0?
-2, -1, 1, 2
Let a = 1726 + -1723. Let k(c) be the first derivative of -10/7*c**2 - 50/7*c - 2/21*c**a - 9. Determine l so that k(l) = 0.
-5
Let k(m) = -2*m**2 - 51*m - 23. Let l be k(-25). Factor 8*f**l + f**3 - 4*f**3 - 2*f**2 - 3*f.
-3*f*(f - 1)**2
Let t(g) be the second derivative of -23/12*g**3 + 29 - 7/12*g**4 - 3/2*g**2 + 3/40*g**5 - 3*g. Factor t(y).
(y - 6)*(y + 1)*(3*y + 1)/2
Suppose -15*h - 8*h + 7820 = 0. Let z = -338 + h. Determine t, given that -1/6*t**z + 4/3 - 7/6*t = 0.
-8, 1
Let i(j) be the first derivative of -2*j**6/3 + 24*j**5/5 + 6*j**4 - 112*j**3/3 - 90*j**2 - 72*j + 2742. Solve i(h) = 0.
-1, 3, 6
Let l = 101/67 - 1/134. Let h = -12577/22 - -6294/11. Suppose 0 - l*s**3 + 2*s + 0*s**2 + h*s**4 = 0. What is s?
-1, 0, 2
Suppose 22*u = 19 + 16 + 53. Let p = 102 + -302/3. What is k in -p*k**2 + 0*k + 0 + 4/3*k**u + 0*k**3 = 0?
-1, 0, 1
Let g(d) = 17*d**3 - 7*d**2 - 89*d + 7. Let y(k) = 9*k**3 - 4*k**2 - 48*k + 4. Let j(h) = -4*g(h) + 7*y(h). Factor j(l).
-5*l*(l - 2)*(l + 2)
Suppose -38*p + 14 = -39*p + 8*p. Let h(t) be the third derivative of 0*t + 0*t**3 + 5/24*t**4 + 0*t**6 + 0 + 1/84*t**7 - 1/8*t**5 - 13*t**p. Factor h(o).
5*o*(o - 1)**2*(o + 2)/2
Let b be ((-27)/(-72))/((-2)/(-8)). Factor -b*o**2 + 6 + 3*o - 3/4*o**3.
-3*(o - 2)*(o + 2)**2/4
Let 1 + 89401/9*p**2 - 598/3*p = 0. What is p?
3/299
Let s(c) be the third derivative of -13*c + c**2 + 1/21*c**7 - 5/24*c**4 - 1/6*c**5 + 0*c**6 + 0 + 0*c**3 + 5/336*c**8. Solve s(d) = 0 for d.
-1, 0, 1
Let m(g) be the first derivative of -16*g**3 + 23*g**2 + 2*g + 3688. Factor m(z).
-2*(z - 1)*(24*z + 1)
Let g be -1 - 8/(-32)*4. Suppose 4*a = y + 16, 55*y - 3*a + 12 = 56*y. Factor 12*u**4 + 21/4*u**5 + g + 0*u + 3*u**3 + y*u**2.
3*u**3*(u + 2)*(7*u + 2)/4
Let q(b) be the first derivative of -5*b**7/7 - b**6/6 + b**5/4 + 160*b - 1. Let h(l) be the first derivative of q(l). Solve h(u) = 0.
-1/2, 0, 1/3
Let u = -14595 + 14599. Let y(t) be the first derivative of 1 + 5/2*t**2 + 5/3*t**3 + 1/5*t**5 - 5/4*t**u - 6*t. Solve y(r) = 0 for r.
-1, 1, 2, 3
Suppose 4*g - 17 = -n, 5*n - 5 = 2*g - 8. Factor 13*m**4 + 40 - 25*m**g + 125*m + 17*m**4 + 135*m**2 + 37*m**3 + 18*m**3.
5*(m + 1)**3*(m + 8)
Factor 18 + 86 + 6850*i**2 + 21*i - 6849*i**2.
(i + 8)*(i + 13)
Factor -7558272/11 - 855378/11*v**2 - 2/11*v**4 + 2604/11*v**3 + 5062176/11*v.
-2*(v - 648)**2*(v - 3)**2/11
Find p, given that 156*p + 6378*p**2 + 945 - 12771*p**2 + 6396*p**2 = 0.
-45, -7
Suppose 5 = -u - 5*h, 2*u + 3 + 7 = 3*h. Let m be u*(9 + 2442/(-270)). Factor -m*j**2 - 1/9*j + 0 - 1/9*j**3.
-j*(j + 1)**2/9
Let h(c) be the second derivative of -1/90*c**5 + 2 + 1/9*c**3 + 0*c**2 - 1/27*c**4 - 25*c. Suppose h(s) = 0. What is s?
-3, 0, 1
Let s be ((-1)/7)/((-14)/63161). Let p = -644 + s. Factor 0*u - u**2 - p*u**3 + 0.
-u**2*(u + 2)/2
Let l(j