*g**3 - 45*g**3 - 426*g - 1285*g**3 - 125*g**5 - 74*g - 88*g**4 + 2300*g**2 - 1062*g**4 = 0. Calculate g.
-5, 0, 2/5
Let g(i) = i**3 + i**2 + i - 3. Let v be g(2). Let n(z) be the second derivative of 1/4*z**5 + 0 + 0*z**2 + 5/12*z**4 + v*z + 0*z**3. Let n(u) = 0. Calculate u.
-1, 0
Suppose -1208*q + 1215*q = 14. Let d(w) be the first derivative of 9/2*w**q + 0*w + w**3 - 49. Factor d(c).
3*c*(c + 3)
Suppose 0*p**5 - 7980 + 775*p**3 - 2195*p**2 + 11900 - 105*p**4 + 840*p + 5*p**5 = 0. Calculate p.
-1, 4, 7
Factor 153 - 3/2*s**2 + 33/2*s.
-3*(s - 17)*(s + 6)/2
Factor -39520/7*a + 577600/7 + 676/7*a**2.
4*(13*a - 380)**2/7
Factor 36122171 - 62*k - 36122212 - 12*k**2 + 9*k.
-(k + 1)*(12*k + 41)
Let -37*b**3 - 487*b**2 + 2*b + 3*b + 940 + 32*b**3 - 453*b**2 = 0. What is b?
-188, -1, 1
Let c(h) = h**2 + 46*h - 143. Let f be c(-49). Factor 29*n**4 - n**2 + 3*n**5 - 41*n**f + 31*n**2 + 30*n**4 + 50*n**3 + 9*n - 14*n**3.
3*n*(n + 1)**3*(n + 3)
Suppose -14*p = -0*p + 686. Let n be ((-308)/p - 6) + 22/70. Factor 0 - 3/5*u + n*u**4 - 3/5*u**2 + 3/5*u**3.
3*u*(u - 1)*(u + 1)**2/5
Let i(d) be the second derivative of 31/120*d**6 - 5/8*d**2 + 33*d - 1/6*d**3 - 4/5*d**5 - 1/42*d**7 + 23/24*d**4 + 0. Suppose i(o) = 0. Calculate o.
-1/4, 1, 5
Let 38/3*y - 2/3*y**2 + 28 = 0. Calculate y.
-2, 21
Let m(k) = k**4 + 4*k**3 + 11*k**2 + 14*k - 2. Let i(v) = 6*v**4 + 23*v**3 + 66*v**2 + 88*v - 13. Let n(h) = -4*i(h) + 26*m(h). Find r, given that n(r) = 0.
-3, -2, -1, 0
Suppose 39*m = 35*m + 3*i + 20, -3*m + 5*i + 26 = 0. Let o be (-6)/(-4)*24/9. Determine v, given that -12/5*v**m + 3/5*v**o + 0 - 6/5*v**3 + 24/5*v = 0.
-2, 0, 2
Let l(c) be the second derivative of 0*c**4 - 2/3*c**3 - 172*c + 0 + 1/35*c**5 + 12/7*c**2. Let l(u) = 0. Calculate u.
-3, 1, 2
Suppose 0 = 4*r - 5*w + 14 - 32, -5*r + w = -12. Suppose 20 + 37 - 35*f**3 + 40*f**r - 57 + 80*f + 5*f**4 = 0. Calculate f.
-1, 0, 4
Let o(s) be the first derivative of -5*s**3/6 + 901*s**2/2 - 360*s + 1180. Suppose o(q) = 0. What is q?
2/5, 360
Let c(v) be the third derivative of 5/336*v**8 + 0 - 53/6*v**5 + 2*v + 44*v**2 + 395/24*v**4 - 55/3*v**3 + 8/3*v**6 - 8/21*v**7. Suppose c(h) = 0. What is h?
1, 2, 11
Suppose -8*k = 982 - 3038. Factor 57*u + 175*u**2 + 111*u**3 + 51*u**4 - k*u**2 + 12 + 199*u**2 + 9*u**5 + 3*u.
3*(u + 1)**3*(u + 2)*(3*u + 2)
Let h(y) be the third derivative of -1/504*y**8 + 13 - 16/9*y**3 + 0*y + 8/9*y**4 - 1/45*y**6 - 8/45*y**5 + 1/63*y**7 + 2*y**2. Find d, given that h(d) = 0.
-2, 1, 2
Solve 23/10*u**2 + 47/10*u**3 + 1/10*u**5 - 24/5*u - 18/5 + 13/10*u**4 = 0 for u.
-6, -1, 1
Let y(r) = -r**2 + 7*r. Let j be y(-5). Let u be ((-11)/(-5) + -3)*j. Factor -58*v - u*v + v**2 + 104*v.
v*(v - 2)
Find b, given that 0 + 23*b**2 - 64*b + 9/2*b**3 = 0.
-64/9, 0, 2
Let a be 9682/2060 + 5/(-25) + 10/(-12). Factor -19/2*d + 9/2*d**2 - 1/3*d**3 + a.
-(d - 11)*(d - 2)*(2*d - 1)/6
Let s(v) = v**2 + 1369*v + 13593. Let c be s(-10). Factor -6*r**2 + 18/7*r**c - 2/7*r**4 - 12/7 + 38/7*r.
-2*(r - 6)*(r - 1)**3/7
Let i be (-100)/8*(-4)/5. Let d be -2 + (i - (5 - 1)). Solve d - 484*k**3 - 45*k + 430*k**3 + 93*k**2 + 2 = 0 for k.
2/9, 1/2, 1
Let c(k) be the first derivative of -k**6/8 - 27*k**5/4 - 501*k**4/16 - 119*k**3/4 + 63*k**2 + 123*k + 779. Let c(z) = 0. Calculate z.
-41, -2, -1, 1
Let g be -56 + 106 + 56 + -104. Solve 4 + 0*y - 1/4*y**g = 0.
-4, 4
Factor -21*h**3 - 2244*h - 43*h**3 + 82 - 31*h**3 + 27*h**3 + h**4 + 1007 + 1222*h**2.
(h - 33)**2*(h - 1)**2
Let d be 3 + (-3 - 4) - -28. Suppose 3*m + d - 30 = 0. Factor -4*c**2 + 7*c**m + 2*c**2 - 5*c - 7*c**4 + 5*c**3 + 2*c**4.
-5*c*(c - 1)**2*(c + 1)
Let p(j) be the second derivative of -j**4/6 - 5*j**3/6 - 5*j. Let w(d) = -275*d + 136*d + 135*d - 2*d**2. Let t(s) = -2*p(s) + 3*w(s). Factor t(m).
-2*m*(m + 1)
Let w(q) = -80*q - 13. Let k be w(-5). Suppose 4*f - 358 = 2*s, -5*s + k = 3*f + 86. Find v, given that -108*v + 56*v - 30 - 3*v**3 - 162 - 36*v**2 - f*v = 0.
-4
Let u(l) = 99*l**2 + 106*l + 120. Let x be u(5). Factor -x - 15*m**2 - 1/5*m**3 - 375*m.
-(m + 25)**3/5
Let b be (-3 - (-9)/2)*(-11 - -13). Find q, given that -4*q**3 - 8*q**4 + 0*q**4 - q**2 + 9*q**4 + 2*q**b + 2*q**2 = 0.
0, 1
Let k(b) be the second derivative of 1/60*b**6 + 0 + 3*b - 1/3*b**3 + 1/10*b**5 + 0*b**2 - 1/24*b**4. Suppose k(i) = 0. What is i?
-4, -1, 0, 1
Let t(o) = -16*o + 34. Suppose -5*n + 3*n = -2*h - 6, 0 = -h + 3*n - 13. Let z be t(h). Determine u so that 0 - 2/3*u**z - 2/3*u = 0.
-1, 0
Factor 75615*z - 17253*z**2 - 1353*z**4 + 1350*z**4 + 389*z**3 + 52*z**3.
-3*z*(z - 71)**2*(z - 5)
Suppose 3*k - 9 = -z + 2*z, -2*k + 2*z = -10. Let b(y) be the third derivative of 9/8*y**4 + 0 + 3/4*y**5 - 5/8*y**6 + 1/2*y**3 - 14*y**k + 0*y. Solve b(s) = 0.
-1/5, 1
Let s(r) be the second derivative of -1/32*r**4 - 5*r + 5*r**2 + 1/12*r**3 + 0 + 1/240*r**5. Let n(y) be the first derivative of s(y). Factor n(c).
(c - 2)*(c - 1)/4
Suppose 8*c = 7*c + 57. Suppose 0 = 15*t - 34*t + c. Factor -49/6*x**5 + 0*x - 28*x**4 + 0 + 18*x**t - 8/3*x**2.
-x**2*(x + 4)*(7*x - 2)**2/6
Suppose 1483*d**3 - 23*d**4 + 809393125*d + 18*d**4 + 6692*d**3 - 4455375*d**2 = 0. Calculate d.
0, 545
Let g(r) = -r**4 + 9*r**3 - 16*r**2 - 18*r - 2. Let c(b) = -10*b**4 + 81*b**3 - 155*b**2 - 163*b - 19. Let i(s) = -2*c(s) + 19*g(s). Factor i(y).
y*(y - 1)*(y + 2)*(y + 8)
Let x(g) = -13472*g - 161662. Let y be x(-12). Factor 0 + 81/2*u**y - 27/2*u**3 - 81/2*u + 3/2*u**4.
3*u*(u - 3)**3/2
Factor 2176/7*w + 2/7*w**3 + 0 - 132/7*w**2.
2*w*(w - 34)*(w - 32)/7
Let v(u) be the third derivative of -1/50*u**5 - 1/5*u**3 + 2/175*u**7 + 0 - 1/560*u**8 - 1/50*u**6 + 1/8*u**4 + u + 2*u**2. Suppose v(g) = 0. Calculate g.
-1, 1, 2
Let r(l) = -83 - 5*l**3 - 196*l - 54*l**2 + l**3 - 60 - 3. Let v(s) = -s**2 - 2*s - 1. Let w(c) = r(c) - 2*v(c). Factor w(j).
-4*(j + 1)*(j + 6)**2
Let 368 - 55*v**2 + 52*v**2 + 57*v - 899 + 129*v = 0. What is v?
3, 59
Let b(s) be the first derivative of s**3/3 - 3*s**2 + 3*s - 23. Let u be b(6). Solve p**4 - 4*p**2 - 9*p**4 + p**2 + 5*p**4 - 10*p**u = 0 for p.
-3, -1/3, 0
Let z(i) be the first derivative of -i**7/336 + 13*i**6/720 + i**5/40 + 2*i**3/3 + 5*i**2/2 + 189. Let v(q) be the third derivative of z(q). Factor v(p).
-p*(p - 3)*(5*p + 2)/2
Let 5645376/5*x + 3/5*x**3 + 1490379264/5 + 7128/5*x**2 = 0. What is x?
-792
Determine n, given that 194 - 197/3*n + 1/3*n**2 = 0.
3, 194
Factor 0 + 2848/3*i + 98/3*i**4 + 2870*i**3 - 3312*i**2.
2*i*(i + 89)*(7*i - 4)**2/3
Let r(h) be the third derivative of 7*h**7/20 + 23*h**6/40 - 13*h**5/10 - 23*h**4/8 + 3*h**3/4 + 19*h**2 - 52*h. Find i such that r(i) = 0.
-1, 3/49, 1
Let p(o) = -2. Let r(y) = 46*y**2 - 3*y - 8. Let x(f) = -12*p(f) + 3*r(f). Find u, given that x(u) = 0.
0, 3/46
Let u(x) be the second derivative of 0 - 19/9*x**3 + 8*x**2 - 1/3*x**4 + 1/30*x**5 + 55*x. Let u(n) = 0. Calculate n.
-3, 1, 8
Suppose 15*n - 14*n - 5 = 0. Suppose -6*s = -10*s + k + 12, 2*s - n*k + 12 = 0. Suppose 2/9*q + 4/9 - 2/9*q**3 - 2/3*q**2 + 2/9*q**s = 0. What is q?
-1, 1, 2
Let a(y) be the third derivative of -y**5/240 - 29*y**4/96 + 5*y**3/4 + 3*y**2 + 4*y - 10. What is j in a(j) = 0?
-30, 1
Let i be 68/(-1258) + (-365)/(-3330). Let a(k) be the third derivative of i*k**5 + 5/72*k**4 - 9*k**2 + 0*k**3 + 0*k + 0 + 1/72*k**6. Factor a(h).
5*h*(h + 1)**2/3
Let p = -69 - 531. Let y = p - -605. Factor 6/5*g**4 + 3/5*g**y + 3/5*g**3 + 0*g + 0 + 0*g**2.
3*g**3*(g + 1)**2/5
Suppose -y + 64*u - 60*u = 40, u = 4*y - 5. Determine l, given that 5/11 + 1/11*l**5 - 14/11*l**3 - 19/11*l + 26/11*l**2 + 1/11*l**y = 0.
-5, 1
Suppose -399/4*a + 0 + 3/4*a**2 = 0. Calculate a.
0, 133
Let z(r) be the second derivative of -3*r**5/40 + r**4/2 + 117*r**3/4 - 35*r + 16. Factor z(n).
-3*n*(n - 13)*(n + 9)/2
Let j(o) be the third derivative of -o**6/140 - 71*o**5/210 + 8*o**4/21 + 10*o**3/3 + 95*o**2. Let v(g) be the first derivative of j(g). Solve v(x) = 0.
-16, 2/9
Let m(k) be the third derivative of -k**5/210 - 41*k**4/6 - 571*k**3/7 - 16*k**2 + 196. Factor m(a).
-2*(a + 3)*(a + 571)/7
Let q(k) = k**3 - k**2 - 3*k + 149. Let c be q(0). Factor -60*p**3 + 55 - 295 - 5*p**4 - 91*p**2 - c*p**2 - 400*p.
-5*(p + 2)**3*(p + 6)
Let o = -582 + 589. Factor 0*d**2 - o*d**2 - d**2 + 6*d**2 - d**2.
-3*d**2
Determine