a - 602*a = 0. Calculate a.
-82
Suppose -5*w + 8 + 2 = 0. Suppose -w*f + 14 = 2*g, -g + 4*f + 14 + 8 = 0. Factor 4*y**2 + g*y**3 + y**4 + 3*y**2 + 7*y**4 + 2*y**5 - 3*y**2.
2*y**2*(y + 1)**2*(y + 2)
Let z be (0 + 2*5)*15/(-30). Let f be 2 + (-4 - z) - (1 + 0). Let 4*h + 4*h**f - 11*h**3 + 15*h**3 - 12*h**2 = 0. Calculate h.
0, 1
Suppose -x + 8 = 26*d - 24*d, -6 = -3*x. Factor 15*l**d + 128*l**2 - 4 - 3*l**4 - 2 + 21*l - 155*l**2.
-3*(l - 2)*(l - 1)**3
Let p(f) be the third derivative of -f**7/840 + 37*f**6/120 - 73*f**5/40 + 29*f**4/8 + 222*f**2. Let n(r) be the second derivative of p(r). Factor n(y).
-3*(y - 73)*(y - 1)
Suppose -428*p + 430*p - 8 = 0. Suppose -12*f**4 + 2*f + f**2 + 23*f**4 - 2*f**3 - 12*f**p = 0. What is f?
-2, -1, 0, 1
Solve 1924*k + 220*k**4 - 646*k + 5*k**5 - 430*k**2 + 205*k**3 - 640*k - 638*k = 0.
-43, -2, 0, 1
Let y(b) be the third derivative of 0 + 1/32*b**6 + 0*b**4 - 1/840*b**7 + 160*b**2 + 2*b + 0*b**3 - 13/120*b**5. Find d, given that y(d) = 0.
0, 2, 13
Suppose 0 = -2*o + 85 - 7. Let m = 43 - o. Factor -1/7*q**m - 1/7*q**2 + 3/7*q + 2/7 - 3/7*q**3.
-(q - 1)*(q + 1)**2*(q + 2)/7
Factor 1985*u**2 - 17*u - 1964*u**2 - 7*u + 3*u**3.
3*u*(u - 1)*(u + 8)
Suppose 95*p = 119*p. Let o(b) be the first derivative of 3/2*b**2 - 3/4*b**4 + p*b + 0*b**3 + 12. Factor o(l).
-3*l*(l - 1)*(l + 1)
Suppose -4*a - 162 + 204 = -5*v, a + 2*v + 9 = 0. Find q, given that 1/5*q**a + 9/5 - 9/5*q - 1/5*q**2 = 0.
-3, 1, 3
Let k = -2090/697 + 180514/6273. Factor 6728/9 - k*z + 2/9*z**2.
2*(z - 58)**2/9
Let q(z) be the first derivative of z**5/25 + z**4/4 - 42*z**3/5 + 1850. Let q(k) = 0. Calculate k.
-14, 0, 9
Let i(r) = -3*r**5 + r**4 - r**3 - r**2 + 2*r - 1. Let p(x) = 20*x**5 - 15*x**4 + 17*x**3 + 37*x**2 + 7*x + 14. Let a(t) = -8*i(t) - p(t). Solve a(z) = 0.
-1, -3/4, 2
Factor -22436*g - 20*g**3 + 71*g**2 - 21*g**3 + 545*g**2 - 99856 - 13*g**3 + 50*g**3.
-4*(g - 79)**2*(g + 4)
Factor -183/4*j**2 - 1/4*j**4 + 0 - 15/2*j**3 - 77/2*j.
-j*(j + 1)*(j + 7)*(j + 22)/4
Solve -11/4*p**4 + 1848*p - 2857/2*p**2 - 515/4*p**3 - 288 = 0 for p.
-24, 2/11, 1
Let d(g) = 16*g**3 - 344*g**2 + 349*g + 21. Let t(a) = -21*a**3 + 459*a**2 - 465*a - 27. Let i(b) = 9*d(b) + 7*t(b). Determine c so that i(c) = 0.
0, 1, 38
Let u(n) be the third derivative of n**6/24 + 5*n**5/12 - 5*n**4/2 - 30*n**3 - 154*n**2. What is z in u(z) = 0?
-6, -2, 3
Factor 1/7*d**5 + 396/7*d**3 + 0 + 34/7*d**4 + 1331/7*d + 242*d**2.
d*(d + 1)*(d + 11)**3/7
Let c = 290/9 - 1414/45. Let j = 31 + -31. Find u, given that j + 2/5*u**3 - 2/5*u**2 - c*u = 0.
-1, 0, 2
Let n = 992 - 960. Let i be -2 + 18/4 - (-16)/n. Let -1/7*s**i - 3/7*s + 1/7 + 3/7*s**2 = 0. Calculate s.
1
Let p(d) be the third derivative of -1/1176*d**8 + 0*d - 1/105*d**5 - 263*d**2 + 2/735*d**7 + 0 + 0*d**3 + 1/84*d**4 + 0*d**6. Factor p(j).
-2*j*(j - 1)**3*(j + 1)/7
Factor 3/5*l**2 + 7708827/5 - 9618/5*l.
3*(l - 1603)**2/5
Factor 0 - 9/2*y - 3/2*y**3 + 6*y**2.
-3*y*(y - 3)*(y - 1)/2
Let s = -1998133/3 - -666045. Factor -40/3 - s*m + 2/3*m**2.
2*(m - 5)*(m + 4)/3
Let r = 3323/733 - 49/1466. Factor -3*o + r - 12*o**2.
-3*(2*o - 1)*(4*o + 3)/2
Suppose 0 = 3*s - 7*o + 3*o - 20, 5*s - 26 = 3*o. Factor 16*y**2 + 1013*y**3 + 0*y**5 - 4*y**4 + s*y**5 - 1029*y**3.
4*y**2*(y - 2)*(y - 1)*(y + 2)
Find g such that 8702*g + 196059 + 0*g**3 + 1741*g + 5582*g**2 - 5405*g**2 + g**3 + 9320 = 0.
-59
Suppose -h + 6 = -d + 7, 5*h = 2*d + 4. Let i(y) be the second derivative of 15*y**2 - 5/6*y**d + 0 - 5/12*y**4 - 14*y. Suppose i(x) = 0. What is x?
-3, 2
Let y(o) = 9*o**4 + 75*o**3 + 192*o**2 + 12*o - 252. Let x(u) = -25*u**4 - 223*u**3 - 576*u**2 - 32*u + 757. Let p(f) = 4*x(f) + 11*y(f). Solve p(l) = 0.
-64, -2, 1
Let c = -5279 - -5283. Let n(g) be the first derivative of 1/7*g**3 - 3/7*g**2 - 19 + 3/28*g**c + 0*g. Determine l so that n(l) = 0.
-2, 0, 1
Let p(f) be the second derivative of f**4/6 + 26*f**3/3 + 169*f**2 + 889*f. Find m such that p(m) = 0.
-13
Let i(h) be the third derivative of -h**5/48 - 65*h**4/4 + 1565*h**3/24 - 2*h**2 + 808*h. Find f such that i(f) = 0.
-313, 1
Let l(b) be the third derivative of b**7/70 - b**6 + 99*b**5/5 + 20*b**4 - 800*b**3 + 15*b**2 - 98. Factor l(j).
3*(j - 20)**2*(j - 2)*(j + 2)
Suppose 2*s - 1828 = -4*u, -3*u = 2292*s - 2296*s - 1426. Determine i, given that 0 + 0*i + 2/5*i**5 + u*i**3 - 134/5*i**4 - 2178/5*i**2 = 0.
0, 1, 33
Let l(s) be the first derivative of -s**6/21 - 782*s**5/35 - 38803*s**4/14 - 228146*s**3/21 - 113296*s**2/7 - 75272*s/7 + 2730. Let l(m) = 0. Calculate m.
-194, -1
Let m(k) = -5*k**2 + 35*k + 40. Let a(l) be the third derivative of -l**5/4 + 35*l**4/8 + 20*l**3 + 43*l**2. Let v(q) = -2*a(q) + 7*m(q). Factor v(n).
-5*(n - 8)*(n + 1)
Suppose -4*s - 22 = -3*w, -17*w + 3*s = -18*w + 3. Let j(o) be the second derivative of 1/24*o**4 + 0*o**3 + 0 - 9/4*o**2 - w*o. Factor j(y).
(y - 3)*(y + 3)/2
Factor 27*v - 103*v - 3*v**2 - 182*v + 647 - 647.
-3*v*(v + 86)
Let i(s) = -4*s**3 + 40*s + 24. Let u(g) = -7*g**3 + 4*g**2 + 83*g + 50. Let n(q) = 13*i(q) - 6*u(q). Let n(p) = 0. Calculate p.
-3, -2/5, 1
Let c(l) = -2*l**2 + 29*l - 12. Let r be c(14). Solve -113*f + 5*f**2 + 140*f + 54 - r*f**2 = 0 for f.
-6, -3
Solve -66912*f**2 - 2456/15*f**3 + 55136800/3 - 2/15*f**4 - 27164960/3*f = 0.
-410, 2
Let r(l) = -148*l**2 + 8100*l - 8141. Let u(f) = -11*f**2 + 623*f - 626. Let i(z) = -2*r(z) + 27*u(z). Factor i(n).
-(n - 620)*(n - 1)
Let y = 116 - -128. Let p be 1/(-4 - y/(-60)). Factor 0*a - p*a + 5*a**2 + 537 - 527.
5*(a - 2)*(a - 1)
What is n in 192*n**3 + 86*n**4 - 122*n**4 - 16*n**4 - 144*n**2 + 4*n**5 = 0?
0, 1, 6
Let o be ((5 - 3 - -3)*-1)/(-6). Suppose -2 = -20*h + 98 - 20. Let 53/6*v**2 - h*v + 2/3 - 55/6*v**3 + 9/2*v**4 - o*v**5 = 0. What is v?
2/5, 1, 2
Let a(s) be the second derivative of 1/15*s**6 + 0 + 43/6*s**4 + 36*s**2 + 23*s**3 + 69*s + 11/10*s**5. Factor a(k).
2*(k + 1)*(k + 3)**2*(k + 4)
Factor -203*z**4 - 116*z + 33 + 234*z**2 + 200*z**4 + 120 + 143*z - 375*z - 36*z**3.
-3*(z - 3)*(z - 1)**2*(z + 17)
Let s(g) = 249*g**2 - 16185*g + 21837612. Let y(z) = 167*z**2 - 16186*z + 21837612. Let m(k) = 2*s(k) - 3*y(k). Factor m(h).
-3*(h - 2698)**2
Suppose 11*f + 3*o = 9*f + 9, 5*f - 34 = 4*o. Suppose 13*t - 28 = f*t. Factor 3*h**2 + 2*h + 4*h**3 + 2*h**2 - 4*h**4 + 7*h**t - 2*h**4.
h*(h + 1)**2*(h + 2)
Let b(g) be the second derivative of 0 - 11/16*g**4 - 7/8*g**3 + 3/2*g**2 + 64*g. Determine o so that b(o) = 0.
-1, 4/11
Let k(b) = -3*b**2 + 14*b + 9. Let f be k(5). Factor f*z**2 - 3*z**2 + 1082*z - z**3 - 1080*z.
-z*(z - 2)*(z + 1)
Let g(y) = y**3 - 7*y**2 - 18*y + 5. Let f be g(9). Factor 4*j**2 + 6*j + 0*j**3 + 0*j**5 - 8*j**3 + f*j**5 - 3*j**5 - 4*j**4.
2*j*(j - 3)*(j - 1)*(j + 1)**2
Let c(t) = -t + 3. Suppose 0 = -4*a - 0*a - 44. Let q be c(a). Determine u, given that q*u + 6 - 3 + 7*u**2 + 1 - 11*u**2 - 14*u**3 = 0.
-1, -2/7, 1
Let f be 37/(-18) - (-111941)/29202. Find b such that 10/9*b - 2/3 + f*b**2 = 0.
-1, 3/8
Let q be -2 - -3*(-1336)/(-24). Suppose 171 = 3*o + q. Factor 4/3*g + o - 10/3*g**2.
-2*(g - 1)*(5*g + 3)/3
Let a(d) be the second derivative of d**6/15 - 9*d**5/5 - 121*d**4/6 + 46*d**3 - 512*d + 1. Suppose a(c) = 0. What is c?
-6, 0, 1, 23
Factor 1992*s + 3*s**2 + 1110 + 699 + 180.
3*(s + 1)*(s + 663)
Find q, given that -291*q + 353/2*q**2 + 113/2*q**3 + 1/2*q**5 + 116 - 117/2*q**4 = 0.
-2, 1, 116
Suppose -62*q + 60*q - 2*m - 12 = 0, 0 = 3*q - 2*m - 12. Factor 3*b**2 + q*b**4 + 9/2*b**3 - 3/2*b**5 + 0*b + 0.
-3*b**2*(b - 2)*(b + 1)**2/2
Let b(t) be the first derivative of -t**5/20 - t**4/2 - 4*t**3/3 + 1429. Factor b(g).
-g**2*(g + 4)**2/4
Let c = -633 - -637. Factor -65*k**3 + 15*k**4 - 5*k**4 + 150*k**2 + 2*k**4 - 2*k**4 - 5*k**c.
5*k**2*(k - 10)*(k - 3)
Let b = -89 + 91. Find j such that -159*j**2 - 170*j**b + 334*j**2 - 10*j = 0.
0, 2
Let w be 174/36 + 9/54. Suppose -4*p + 3*c + 14 = -1, w*p - 5*c = 25. Factor -1/2*b**2 + p*b + 2.
-(b - 2)*(b + 2)/2
Let w = 174 + -147. Let g be ((-209)/9)/(-11) + 6/w. Suppose 10/3*v**2 + 0 - g*v**3 - 4/3*v + 1/2*v**4 = 0. Calculate v.
0, 2/3, 2
Let c(t) be the first derivative of -t**7/21 + t**6/15 + t**5/10 - t**4/6 - 73*t - 2. Let m(j) be the first derivative of c(j). Factor m(f).
-2*f**2*(f - 1)**2*(f + 1)
Let v(f) = -f**2 +