n be y(r). Factor 3*g**3 + 2*g + 2*g**2 - 9 - g**3 + n - 10*g.
2*(g - 2)*(g + 1)*(g + 2)
Suppose -2*v = -0*v + 3*v. Let f be ((-4)/(-4) - v)*4. Solve -2/9*j**f + 2/9*j**2 - 1/9*j**5 + 0 + 0*j**3 + 1/9*j = 0 for j.
-1, 0, 1
Let q = 119263/2 - 59630. Factor -21/2*t + 5*t**2 - 1/2*t**5 + 3*t**3 + 9/2 - q*t**4.
-(t - 1)**3*(t + 3)**2/2
Suppose 9*r - 13*r + 20 = 0, -4*g + r = 69. Let w be 9/6*(-1)/(36/g). Factor -1/3*x**2 + 1/3*x + w.
-(x - 2)*(x + 1)/3
Let p(a) = a**2 - a. Let q(m) = -2*m**2 + m. Let f be 37/5 + 10/(-25). Suppose 2*i - 3*i + f = 0. Let c(d) = i*p(d) + 4*q(d). Factor c(v).
-v*(v + 3)
Let r(t) be the third derivative of 0*t + 11*t**2 + 0 - 5*t**3 - 1/12*t**5 + 35/24*t**4. Let r(h) = 0. What is h?
1, 6
Let u(t) = -49*t**2 + 977*t - 56. Let q(d) = 26*d**2 - 489*d + 28. Let w(y) = 14*q(y) + 6*u(y). Suppose w(o) = 0. What is o?
2/35, 14
Find h, given that 6 + 5*h**3 + 204 + 95*h + 9407*h**2 - 9517*h**2 = 0.
-1, 2, 21
Let t(n) = -n**2 + 6482*n + 12970. Let b be t(-2). Find l such that -6/13 - 10/13*l**b + 14/13*l + 2/13*l**3 = 0.
1, 3
Let t(n) = n**3 + 7*n**2 - 2*n - 12. Let o = -85 + 80. Let j be t(o). Factor 55 - 27 - 3*g**3 + 35*g - j - 2*g**3 - 10*g**2.
-5*(g - 1)**2*(g + 4)
Let g be (-186)/(-4) + 8/((-16)/(-3)). Let k = -8 + g. Factor -20*x + 8 - 4*x**3 + 23*x**2 + k*x**2 - 47*x**2.
-4*(x - 2)*(x - 1)**2
Let n(q) be the first derivative of q**6/65 - q**5/10 + 8*q**4/39 - 4*q**3/39 - 4*q - 63. Let x(g) be the first derivative of n(g). Let x(c) = 0. What is c?
0, 1/3, 2
Suppose -24/7*x - 27/7 + 3/7*x**2 = 0. Calculate x.
-1, 9
Let p(h) = 12*h + 77. Let r be ((-6)/(-10))/(6/(-60)). Let x be p(r). Factor 7*a + 7*a**5 - 10*a + 6*a**3 - 10*a**x + 3 + 3*a**4 - 6*a**2.
-3*(a - 1)**3*(a + 1)**2
Factor -2/11*q**2 + 20/11*q - 18/11.
-2*(q - 9)*(q - 1)/11
Let h(o) be the first derivative of -o**4/8 + 37*o**3/6 + 90*o**2 - 1474. Determine u, given that h(u) = 0.
-8, 0, 45
Let b = -34 + 96. Let g = b - 57. Find c, given that -11*c**3 - 3*c**5 - 9*c**3 + 17*c**3 - 4*c**2 + 2*c**g + 4*c + 4*c**4 = 0.
-1, 0, 1, 2
Let r(i) be the first derivative of 20736*i**2 - 10 + 144*i**4 + 24/5*i**5 + 497664/5*i + 1/15*i**6 + 2304*i**3. Suppose r(f) = 0. Calculate f.
-12
Suppose 6*r - 3*r = 2*t - 1, 4*r - 2*t = 2. Suppose -2*l = r*y, 0 = -l + 4*l - 3*y. Factor -9/2*m + 6*m**2 + l.
3*m*(4*m - 3)/2
Let i(d) = -5*d**2 + 245*d + 474. Let w(q) = -7*q**2 + 491*q + 950. Let g(j) = -5*i(j) + 3*w(j). Factor g(u).
4*(u + 2)*(u + 60)
Let m(n) be the second derivative of -n**5/110 - n**4/6 - 8*n**3/33 + 20*n**2/11 - 4405*n. Factor m(a).
-2*(a - 1)*(a + 2)*(a + 10)/11
Let s(o) = o**2 - 17*o + 32. Let j be s(15). Suppose -2588*n - 4*n**4 + 28*n**3 - 11*n**2 - 5*n**j + 2540*n = 0. What is n?
-1, 0, 2, 6
Let m(s) be the third derivative of -s**6/480 + 23*s**5/240 + s**4/96 - 23*s**3/24 - 25*s**2 + 3*s. Factor m(b).
-(b - 23)*(b - 1)*(b + 1)/4
Let m(d) be the third derivative of d**7/210 - 3*d**6/40 + d**5/30 + 7*d**4/2 + 12*d**3 + 2*d**2 + 504*d. Factor m(b).
(b - 6)**2*(b + 1)*(b + 2)
Suppose -o - 6 = 5*v - 2*v, -2*o - 8 = 4*v. Let z be (o - -5)/(4*(-3)/(-12)). Solve -i**2 - 2 + 4 + 3*i**2 - z*i + 0*i = 0.
1/2, 2
Let s(v) be the third derivative of 0*v + 7/340*v**6 - 83/1785*v**7 - 1/714*v**8 + 0*v**3 + 0*v**4 + 31*v**2 - 2 + 0*v**5. What is m in s(m) = 0?
-21, 0, 1/4
Let h(z) be the second derivative of 0 + 1/10*z**4 - 24*z + 4/25*z**5 + 21/200*z**6 + 0*z**2 - 1/2*z**3. Let r(o) be the second derivative of h(o). Factor r(i).
3*(7*i + 2)*(9*i + 2)/5
Let z(x) be the third derivative of x**6/360 - 41*x**5/180 - x**4/72 + 41*x**3/18 + x**2 - x + 56. Factor z(u).
(u - 41)*(u - 1)*(u + 1)/3
Let t = 51 - 45. Let h = 24 - t. Solve 29 + 5*j**2 - 4*j + 34 - h - 26*j = 0 for j.
3
Let a be ((-35328)/(-192) - 184)*(-3 - -1)/10. Determine s so that a*s**3 + 0 + 12/13*s - 14/13*s**2 + 2/13*s**4 = 0.
-3, 0, 1, 2
Let n(c) be the first derivative of c**5 - 55*c**4/4 + 60*c**3 - 40*c**2 - 320*c + 943. Factor n(f).
5*(f - 4)**3*(f + 1)
Factor -54*h**5 + 664*h**2 - 1212633*h**4 + 9*h**5 - 980*h + 378*h**2 + 1618*h**2 - 1385*h**3 + 1212063*h**4.
-5*h*(h + 7)**2*(3*h - 2)**2
Let f be (-419)/((-19974149)/203422) - 2/(-13). Suppose 2/19*d**2 + 34/19*d + f = 0. Calculate d.
-14, -3
Let y(k) be the second derivative of -k**7/336 - k**6/60 + k**5/10 + k**4/6 - k**3 - 9609*k. Suppose y(m) = 0. What is m?
-6, -2, 0, 2
Let w(k) = 67*k**2 - 6446*k - 3447552. Let t(v) = -48*v**2 + 4298*v + 2298368. Let s(z) = 7*t(z) + 5*w(z). Let s(q) = 0. Calculate q.
-1072
Let n(z) be the first derivative of -z**5/10 - 15*z**4/8 - 77*z**3/6 - 165*z**2/4 - 63*z - 769. Suppose n(x) = 0. Calculate x.
-7, -3, -2
Let l(i) = -30*i - 79. Let w be l(-19). Let u = w + -491. Factor 15/2*r**4 + u - 33*r**3 - 12*r + 42*r**2.
3*r*(r - 2)**2*(5*r - 2)/2
Factor 0 - 15*h**2 - 450/7*h + 3/7*h**4 + 12/7*h**3.
3*h*(h - 6)*(h + 5)**2/7
Let f be (-14)/(-6)*(-5 + -1 + 3). Let d be f/2*7/(-4)*4. Let -7*p + d + 1/2*p**2 = 0. Calculate p.
7
Let p be -46 + (0 - 1)/((-3)/(-6)). Let w be 6/(-15) + p/(-20). Find r such that r**3 - 1/2 - 1/2*r**5 + r**w - 1/2*r**4 - 1/2*r = 0.
-1, 1
Let q(i) be the second derivative of i**7/28 - 7*i**6/30 + 13*i**5/40 + i**4/4 + i + 1570. Suppose q(a) = 0. What is a?
-1/3, 0, 2, 3
Let a(b) = -b**2 - 12*b + 14. Let m(u) = u**2 + u + 1. Let n(j) = 8*j**2 + 30*j - 22. Let k(g) = -5*m(g) + n(g). Let o(c) = -5*a(c) - 2*k(c). Factor o(h).
-(h - 8)*(h - 2)
Let x(m) be the first derivative of 3*m**4/4 - 24*m**3 + 216*m**2 + 556. Determine y so that x(y) = 0.
0, 12
Solve 0 - 2558/13*a + 2/13*a**2 = 0.
0, 1279
Let x(d) = -590*d**3 - 116*d**2 + 662*d + 92. Let p(j) = -945*j**3 - 185*j**2 + 1059*j + 147. Let o(k) = -12*p(k) + 19*x(k). What is f in o(f) = 0?
-1, -8/65, 1
Suppose 14*r = 5*t - 262, -5*t + 4*r - 483 = -565. Find c such that 9/4*c**4 + 0 - 75/4*c**3 + 87/4*c**t - 21/4*c = 0.
0, 1/3, 1, 7
Let g(n) be the first derivative of 9*n**4 - 2692*n**3 + 5360*n**2 - 3568*n + 5205. Factor g(m).
4*(m - 223)*(3*m - 2)**2
Let w(r) = 13*r - 76. Let z be w(6). Factor 87*h - 177*h - 106 - 10*h**2 - 299 + 5*h**z.
-5*(h + 9)**2
Let r(h) be the second derivative of -h**6/6 - 25*h**5/2 - 955*h**4/4 + 3250*h**3/3 - 1690*h**2 - h + 168. Suppose r(z) = 0. Calculate z.
-26, 1
Suppose -473 = -3*v + 2*z + 377, -5 = z. Let y = v + -278. Let 8*l**3 + 12/5*l**5 + 0*l**y - 8*l**4 + 8/5 - 4*l = 0. What is l?
-2/3, 1
Let x be 10 + (2850/760 - 1389/(-20)). Factor -5194/5*w**2 - 5618/5*w**3 + x*w - 8/5.
-2*(w + 1)*(53*w - 2)**2/5
Factor -153*f**3 + 174 + 21*f**2 - 223*f**4 + 225*f**4 - 131*f**3 + 172*f - 197*f**2 + 112*f**3.
2*(f - 87)*(f - 1)*(f + 1)**2
Suppose -7*n = -8*n + m + 8, 0 = -3*n - 2*m + 19. Determine h so that -n*h - 4*h + 16*h + 125*h**2 - 125 - 5*h**3 = 0.
-1, 1, 25
Let k(n) be the first derivative of n**4/4 - 649*n**3/3 + 52812*n**2 - 104976*n - 2119. Factor k(y).
(y - 324)**2*(y - 1)
Let m(l) be the second derivative of l**5/10 + 5*l**4/6 - 8*l**3/3 - 12*l**2 - 4*l - 30. What is y in m(y) = 0?
-6, -1, 2
Let a(u) = -u**2 + 14*u - 43. Let p be a(8). Suppose -2*c = -5*l + 31 - 1, -c + 7 = 3*l. Factor 30*j**2 - l - j - 68*j**2 + 36*j**2 - p*j.
-2*(j + 1)*(j + 2)
Let k(x) = 7*x**4 + 122*x**3 - 227*x**2 - 15*x - 5. Let s(i) = -5*i**4 - 121*i**3 + 226*i**2 + 12*i + 4. Let m(u) = -4*k(u) - 5*s(u). Factor m(r).
-3*r**2*(r - 37)*(r - 2)
Let k(i) = 36*i + 4*i**2 + 3 - 2 + 35 - 12*i. Let f(o) be the first derivative of -4*o**3/3 - 12*o**2 - 36*o - 152. Let x(c) = -3*f(c) - 4*k(c). Solve x(t) = 0.
-3
Let u = -138 + 149. Factor -179*h**2 + u + 181*h**2 + 21 - 20*h.
2*(h - 8)*(h - 2)
Factor 117 - 62*x + 262 + 10*x - 2*x**2 + 137 + 396.
-2*(x - 12)*(x + 38)
Suppose -2*n - 12 - 38 = -2*t, 4*t = -4*n + 68. Factor 55*o**2 - o**3 - 4*o**3 - 15 + 5*o + t*o**3 + 19*o**3.
5*(o + 1)**2*(7*o - 3)
Let m(f) = -5043*f**2 - 2996*f - 421. Let z(u) = -1681*u**2 - 1000*u - 140. Let a(r) = 4*m(r) - 11*z(r). Determine h so that a(h) = 0.
-12/41
Let t = 169732 - 169729. Solve -5/2*v**2 + 1/2*v + 5/2 - 1/2*v**t = 0.
-5, -1, 1
Let f(w) = 2*w**2 + 1536*w - 5. Let k(c) = 6*c**2 + 4606*c - 14. Let t(o) = -14*f(o) + 5*k(o). Solve t(a) = 0 for a.
-763, 0
Let x(m) be the first derivative of -m**7/70 + m**6/25 - 3*m**5/100 - 81*m - 37. Let b(p) be the first derivative of x(p)