 so that 6/7*l**g - 12/7 + f*l = 0.
-2, 1
Let n(q) be the first derivative of q**6/6 + 3*q**5/5 - 3*q**4/2 - 28*q**3/3 - 12*q**2 + 455. Factor n(r).
r*(r - 3)*(r + 2)**3
Let x = 861 + -801. Suppose 8*m - x + 28 = 0. Factor -2/5*i**5 - 12/5*i**3 - 2/5*i + 0 + 8/5*i**m + 8/5*i**2.
-2*i*(i - 1)**4/5
Suppose -3454*a - 72 = -3478*a. Let n(c) be the second derivative of 25*c - 1/4*c**4 + 0*c**2 + 0 + 0*c**a. Factor n(g).
-3*g**2
Let 257*j + 9*j**2 + 6*j**2 + 461 - 368 - 51*j + 262*j = 0. Calculate j.
-31, -1/5
Suppose 5*o - 3*o + 7 = 3*c, 5*o - 35 = -3*c. Determine t so that -29*t**4 + 126*t**2 + 31*t**o + 25*t**3 + 9*t**3 - 162*t = 0.
-9, 0, 1
Let b(x) be the first derivative of -1 - 1/30*x**6 - 1/6*x**4 + 0*x**3 - 19/2*x**2 - 2/15*x**5 + 0*x. Let g(p) be the second derivative of b(p). Factor g(k).
-4*k*(k + 1)**2
Let p(z) = 17*z**3 + 2532*z**2 + 322560*z - 655348. Let f(x) = 19*x**3 + 2529*x**2 + 322560*x - 655346. Let b(v) = -6*f(v) + 7*p(v). Factor b(w).
5*(w - 2)*(w + 256)**2
Let l(i) = 145*i**2 + 1161*i + 10. Let k be l(-8). Factor -5*b + 8/3 + 1/3*b**3 + k*b**2.
(b - 1)**2*(b + 8)/3
Let n(u) = 14*u**3 + 10*u**2 - 68*u - 56. Let l(s) = 5*s**3 + 4*s**2 - 23*s - 19. Let i = 478 + -486. Let p(r) = i*l(r) + 3*n(r). Suppose p(f) = 0. What is f?
-2, -1, 4
Suppose 102*u - 112*u = -440. Let q be u/594 - (-52)/27. Determine d, given that -9/2*d**q + 3/2*d**3 + 6 + 0*d = 0.
-1, 2
Let m(r) = r + 1. Let u(w) = w**3 - w**2 - 6*w + 14. Let k = 99 - 86. Let n be (k/(-52))/(1/4). Let d(z) = n*u(z) + 2*m(z). Find i such that d(i) = 0.
-3, 2
Let k(j) be the first derivative of -9*j**2 + 2/3*j**3 - 18*j + 1/2*j**4 - 45. Find b such that k(b) = 0.
-3, -1, 3
Let b(d) be the third derivative of d**7/840 - d**6/480 - 5*d**5/48 + 25*d**4/96 + 5490*d**2. Find o such that b(o) = 0.
-5, 0, 1, 5
Let c(r) be the second derivative of -7/144*r**4 + 1 + 11/72*r**3 + 1/4*r**2 + 7*r. Factor c(o).
-(o - 2)*(7*o + 3)/12
Let p be (40/6)/4*(-3960)/(-5500). Let n(c) be the first derivative of -1/15*c**3 + p*c - 12 + 1/10*c**2. Factor n(k).
-(k - 3)*(k + 2)/5
Suppose -2*u - 8 = -2*q, 0*q + 6 = q - 2*u. Factor -103 - 5*s**q + 44 - 20*s + 44.
-5*(s + 1)*(s + 3)
Let q = 212 + -210. Factor -54*i + 0*i**q - 666 + 4*i**2 + 692.
2*(i - 13)*(2*i - 1)
Let z(w) be the second derivative of -3 - 3*w + 14*w**2 - 5/3*w**4 - 4/3*w**3. Factor z(q).
-4*(q - 1)*(5*q + 7)
Determine g so that 256*g**2 + 66*g**3 - 8*g**4 - 6*g**3 - 436*g**2 + 3*g**4 = 0.
0, 6
Let k(n) be the first derivative of n**3/5 + 759*n**2/10 - 774*n - 2003. Solve k(a) = 0.
-258, 5
Let o(y) be the second derivative of y**6/60 - 17*y**5/8 + 7*y**4/2 - 9763*y. Determine t, given that o(t) = 0.
0, 1, 84
Let v be (-2*(-6)/(-8))/(1*-90). Let u(p) be the first derivative of 7/50*p**5 + 0*p**2 + 20 - v*p**6 + 0*p - 3/8*p**4 + 3/10*p**3. Factor u(j).
-j**2*(j - 3)**2*(j - 1)/10
Let n be 21186/34 + (-17 - 272/(-16)). Let x = n + -623. Factor -x*k + 2/17 - 2/17*k**2 + 2/17*k**3.
2*(k - 1)**2*(k + 1)/17
Determine o, given that -2/3*o + 2/3*o**3 + 14/3*o**2 - 14/3 = 0.
-7, -1, 1
Let z(q) = q**3 + 7*q**2 + 3*q - 18. Let h be z(-4). Suppose -15*k**4 + 12*k**2 - 26*k + h*k + 8*k**3 - 10 + 13*k**4 = 0. Calculate k.
-1, 1, 5
Suppose -32/3*h**2 + 13/3*h**3 + 0 + 20/3*h - 1/3*h**4 = 0. Calculate h.
0, 1, 2, 10
Let s be -24 + ((-2840)/(-80) - -20). Determine m so that s + 30*m - 3/2*m**2 = 0.
-1, 21
Solve -25*b**3 - 2253*b**2 - 1217*b**2 - 2570*b**2 + 70228 + 76182 - 363605*b = 0.
-121, 2/5
What is x in 1/3*x**3 + 17/3*x + 8*x**2 - 46 = 0?
-23, -3, 2
Let c = 881309/1174770 + 36/21755. Let f = -19/54 + c. Factor -f*x**4 + 0 + 0*x**3 + 0*x + 2/5*x**2.
-2*x**2*(x - 1)*(x + 1)/5
Let k(l) be the third derivative of 60*l**2 + 0*l + 107/180*l**5 - 1/24*l**6 + 0 + 0*l**3 - 7/36*l**4. Solve k(x) = 0 for x.
0, 2/15, 7
Let d = 694 - 638. Suppose 39*s = d*s - 34. Solve 0*b**3 - 1/2*b**4 - 2*b + 9/2*b**s - 6 = 0 for b.
-3, -1, 2
Suppose 1/4*w**3 - 156 - 59*w - 4*w**2 = 0. Calculate w.
-6, -4, 26
Determine h so that 325/2*h**3 - 405*h - 135 + 125/4*h**4 - 855/4*h**2 = 0.
-6, -3/5, 2
Factor 38*w - 3*w + 20*w**3 - 3*w**3 + 15 - 12*w**3 + 25*w**2.
5*(w + 1)**2*(w + 3)
Let d be 1/(-9) + (-118)/(-9). Suppose 0 = -4*c + d - 13. Factor -80*m**2 - 64/3*m - 100*m**3 - 125/3*m**4 + c.
-m*(5*m + 4)**3/3
Suppose 2/3*n**3 - 112/3*n**2 - 158*n - 120 = 0. Calculate n.
-3, -1, 60
Suppose -5*c - 225*z + 20 = -226*z, -4*c - 3*z = -54. Let c*m**5 + 39/2*m**4 + 12*m**3 + 0 - 21/2*m**2 - 9*m = 0. What is m?
-2, -1, 0, 3/4
Solve -2/5*j**2 + 2 + 8/5*j = 0 for j.
-1, 5
Let p(x) be the third derivative of -x**5/30 + 61*x**4/3 - 6698*x**2. Factor p(z).
-2*z*(z - 244)
Let i = -11452464/19 - -602762. Determine g, given that 0 + 4/19*g - i*g**2 = 0.
0, 2/7
Let r(j) be the third derivative of j**6/600 - 2*j**5/75 - 53*j**4/120 + 2*j**3 - 24*j**2 + 6*j - 8. Factor r(o).
(o - 12)*(o - 1)*(o + 5)/5
Let c(b) = -47*b + 37. Let u be c(1). Let o be ((-92)/(-10) + u)*(-10)/4. Factor -2/3*s + 0 - s**o - 1/3*s**3.
-s*(s + 1)*(s + 2)/3
Let r be (1022/(-60))/(-73) + (-3)/(-18). Determine t, given that r*t + 1/5*t**2 + 1/5 = 0.
-1
Let z(t) be the first derivative of 2*t**6/3 + 4*t**5/5 - 26*t**4 - 104*t**3/3 + 50*t**2 + 100*t + 892. What is j in z(j) = 0?
-5, -1, 1, 5
Let r be 72/(-396) + 10/11*-1146. Let s = r - -3128/3. Factor 8/5*a + 16/15 - 12/5*a**2 + s*a**3.
2*(a - 2)**2*(5*a + 2)/15
Let j = -73564 + 73566. Factor -2/9*p**j - 52/9 + 6*p.
-2*(p - 26)*(p - 1)/9
Let f(b) = b**2 - b. Let p be f(1). Suppose -2*n = -p*o - 3*o, 5*n - 19 = -2*o. Find l such that 22*l**3 - 16*l + 32*l - 8*l**4 - 14*l + o - 18*l**2 = 0.
-1/4, 1
Factor 362*s**3 - 59079033*s + 71863*s**2 + 16873974 - 1423*s**2 + 355*s**3 + 382*s**3 - 1120*s**3.
-3*(s - 1677)**2*(7*s - 2)
Let t(m) be the third derivative of m**8/224 - m**7/14 + 5*m**6/16 - 35*m**2 + 43. Solve t(q) = 0 for q.
0, 5
Let n be 7*(-3166)/(-6) - 11/(-33). Factor -n*x**4 - 49*x**3 + 175*x**2 + 30*x + 169*x**3 + 3669*x**4.
-5*x*(x - 6)*(x + 1)*(5*x + 1)
Let x(z) be the second derivative of 0 - 54/5*z**2 + 29/10*z**4 + 157*z + 3/50*z**5 - 3/25*z**6 - 9/5*z**3. Find w, given that x(w) = 0.
-3, -2/3, 1, 3
Factor -41 - 6 + 36 - 66 - 32*i - 49 - 2*i**2.
-2*(i + 7)*(i + 9)
Suppose 0 = d - 2*n + 9, -d + n = 10 - 3. Let c(j) = 10*j + 52. Let s be c(d). Factor -7*q**s + 4*q - 8 + q**3 - 5*q**3 + 15*q**2 + 0.
-4*(q - 2)*(q - 1)*(q + 1)
Suppose 2*f = -5*b - 56, 52 = -4*f + b + 4*b. Let d be 8/30*f - -6. Determine j so that -6/5*j**2 + 3/5*j**3 + d*j**4 + 0*j + 0 - 3/5*j**5 = 0.
-1, 0, 1, 2
Let q(a) be the first derivative of a**5/15 + 11*a**4/6 + 12*a**3 + 37*a**2/2 - 20. Let f(r) be the second derivative of q(r). Find h, given that f(h) = 0.
-9, -2
Let i(o) = -o**3 + 25*o**2 - 90*o + 50. Let q be i(21). Let r be (-11 + (-703)/q)*6/(-7). Factor r - 1/4*n**3 - n**2 - 1/4*n.
-(n - 1)*(n + 2)*(n + 3)/4
Let l(s) be the second derivative of s**8/5040 + s**7/504 + s**6/540 - s**5/45 - 13*s**3 - s**2 - 2*s. Let o(q) be the second derivative of l(q). Factor o(m).
m*(m - 1)*(m + 2)*(m + 4)/3
Let a be (-50)/5 + (-26)/(-2). Suppose 3*q = -2*f + 7, 0 = -a*q + 2*q - f + 1. Let -20/3*y**3 - 4/3*y**4 + 10/3*y + 8/3*y**2 - 4/3 + 10/3*y**q = 0. What is y?
-1, 2/5, 1
Let a(z) = -2*z**2 - 5*z + 2. Let f be a(4). Let l = f - -52. Factor -4*u**3 + 4*u**l - 46*u + 46*u + 0*u**3.
-4*u**2*(u - 1)
Determine v, given that -110*v**3 - 666*v**4 + 381*v**2 + 854*v**3 + 618*v**4 + 48*v = 0.
-1/4, 0, 16
Let s = 9 - 6. Let w(n) = -2*n**2 + n**2 - 99 + 98 - n**3. Let k(i) = 9*i**3 + 14*i**2 - 4*i + 2. Let j(c) = s*k(c) + 6*w(c). Let j(r) = 0. Calculate r.
-2, 0, 2/7
Solve -66*q**2 + 596/9*q - 2/9 = 0 for q.
1/297, 1
Let u(a) be the first derivative of 1/30*a**4 + 44/15*a**3 + 21296/15*a - 74 + 484/5*a**2. Find d, given that u(d) = 0.
-22
Let v be 37765/16107 - 6/531. Solve -155/3*g - v*g**3 - 50/3 + 68/3*g**2 = 0 for g.
-2/7, 5
Let m(z) be the second derivative of z**5/20 - 17*z**4/2 + 67*z**3/2 - 50*z**2 - 3210*z. Suppose m(s) = 0. Calculate s.
1, 100
Let v be (-400)/120*18/(-15). Let u(n) be the third derivative of 0 - 18*n**2 + 1/24*n**v + 0*n**3 - 1/60*n**5 + 0*n. Factor u(w).
-w*(w - 1)
Let p be (((-464)/10)/(-29))/(2/5). Let i(d) be the first derivative of 0*d - 10/3*d**3 + 8 + 0*d**2 - 5/4*d**p. Determi