olve -184/3*b - 554/9 + 2/9*b**2 = 0.
-1, 277
Suppose 2*q + 2 = 0, 0 = -3*j + 4*q + 10. Solve 15*v**j - v**3 - 8*v + 5*v**3 - 10*v - v**3 = 0 for v.
-6, 0, 1
Suppose 0 = 325*q - 320*q + 12880. Let f = -7630/3 - q. Factor -2/3*l**2 + 28/3*l - f.
-2*(l - 7)**2/3
Let k(d) be the second derivative of 3*d**5/20 - 27*d**4/4 - 29*d**3 + 982*d. Suppose k(y) = 0. What is y?
-2, 0, 29
Let b(h) be the first derivative of 0*h - 2*h**4 + 4/3*h**3 - 4/5*h**5 + 4*h**2 + 34. Factor b(x).
-4*x*(x - 1)*(x + 1)*(x + 2)
What is g in 86/13*g + 62/13*g**2 - 30/13*g**3 - 6/13 = 0?
-1, 1/15, 3
Suppose -7*r + 589 + 272 = 0. Factor -41*x - 2*x**2 - 66*x + r*x - 30.
-2*(x - 5)*(x - 3)
Let l = -870 + 874. Let g be (220/(-35))/l - (2 - 4). Factor 0*f - g*f**5 - 9/7*f**3 + 9/7*f**4 + 3/7*f**2 + 0.
-3*f**2*(f - 1)**3/7
Let u(o) = -22*o**2 + 960*o - 932. Let m(w) = 19*w**2 - 956*w + 932. Let t(f) = 6*m(f) + 5*u(f). Determine y, given that t(y) = 0.
1, 233
Let c(z) be the third derivative of -2/3*z**3 + 49*z**2 - 2*z - 1/12*z**4 + 0 + 1/15*z**5 + 1/60*z**6. Determine j so that c(j) = 0.
-2, -1, 1
Let l(s) be the third derivative of -s**5/160 + 5*s**4/16 - 25*s**3/4 - 2*s**2 - 155. Factor l(w).
-3*(w - 10)**2/8
Let s(c) be the third derivative of -1/12*c**6 - 2/3*c**3 + 319*c**2 + 1/6*c**5 + 0*c + 0 + 5/12*c**4 - 1/35*c**7. Find p, given that s(p) = 0.
-2, -1, 1/3, 1
Let a be 70/(-175) + 8/(-13396). Let m = -2/3349 - a. Factor -8/5*i + m*i**2 - 2.
2*(i - 5)*(i + 1)/5
Factor -1529*r + 4*r**2 - 1529*r + 3158*r + 96.
4*(r + 1)*(r + 24)
Let g(l) = 4*l**3 - 2286*l**2 + 329481*l + 5. Let v(f) = 20*f**3 - 11432*f**2 + 1647404*f + 24. Let m(j) = -24*g(j) + 5*v(j). Suppose m(a) = 0. What is a?
0, 287
Let c(h) = -h**3 - 3*h**2 + 4*h + 9. Let p be c(-4). Suppose -7*n = -5 - p. Factor 8*o + 0*o + 3*o**n - o**2.
2*o*(o + 4)
Let i be 30 + -28 + -4 + 1. Let d be 8 + (i - 2) + -1. Factor -6*y**3 - 3*y**4 + 5*y**d - 2*y**2 - 6*y**4.
-2*y**2*(y + 1)*(2*y + 1)
Let d(u) be the third derivative of -1/105*u**5 - 2/735*u**7 + 0*u - 2 - 20*u**2 + 1/105*u**6 + 0*u**3 + 0*u**4. Factor d(m).
-4*m**2*(m - 1)**2/7
Suppose 12*v + 105*v + 9*v + 1 = 1. Factor v - 15/4*z**3 - 3/4*z**4 + 0*z - 9/4*z**2 + 3/4*z**5.
3*z**2*(z - 3)*(z + 1)**2/4
Factor 289830*r**2 + 1178989*r**2 + 8 - 36376*r**2 - 3 + 8292*r + 7.
3*(691*r + 2)**2
Let t(j) be the third derivative of -289/10*j**3 + 187/120*j**4 - 2*j**2 + 31/300*j**5 + 9 + 0*j + 1/600*j**6. Factor t(r).
(r - 3)*(r + 17)**2/5
Let r be 2/1 - ((-21)/(-3) + -8). Factor -5*p**4 + 54*p + 26*p + 80 - 17*p**3 - 3*p**r.
-5*(p - 2)*(p + 2)**3
Find z, given that 0 + 496/3*z + 4/3*z**2 = 0.
-124, 0
Suppose 2*z - 5*s = 29, 14 = 2*z + 38*s - 40*s. Let 0*d + 0 - 2/3*d**5 + 3*d**4 - 4/3*d**z - d**3 = 0. What is d?
-1/2, 0, 1, 4
What is h in 182/23 - 180/23*h - 2/23*h**2 = 0?
-91, 1
Suppose -5 = -g, -21*c + 16*c - 4*g = 1460. Let o = c - -896/3. Find j, given that o + 44/3*j + 28/3*j**3 + 64/3*j**2 = 0.
-1, -2/7
Let x be (-5)/(-20) + 200291/4340. Find w such that 924/5*w**3 + 256/5*w - x*w**4 + 384/5 + 4*w**5 - 1352/5*w**2 = 0.
-2/5, 1, 3, 4
Let x = -143 - -144. Let w(m) = 45*m**3 - 10*m**2 - 65*m + 90. Let h(l) = -2*l**3 + l**2 - 2. Let r(j) = x*w(j) + 20*h(j). Factor r(i).
5*(i - 2)*(i - 1)*(i + 5)
Suppose -55 + 39 = a. Let k be 50/a*(-552)/46. Factor 0 + k*u**3 + 2/3*u - 10*u**2.
u*(15*u - 2)**2/6
Let g(h) = -2*h**2 - 8*h. Let v(b) = 3*b**2 - 84*b - 465. Let l(w) = 3*g(w) + v(w). Factor l(x).
-3*(x + 5)*(x + 31)
Let a(x) be the first derivative of 2*x**6/3 + 1842*x**5/5 + 140911*x**4/2 + 14183092*x**3/3 - 10885644*x**2 + 7304528*x - 514. Find i such that a(i) = 0.
-154, 1/2, 1
Let q(u) be the third derivative of 0*u + 0 + 1/12*u**4 - 2/9*u**3 + 34*u**2 - 1/90*u**5. Factor q(k).
-2*(k - 2)*(k - 1)/3
Let n = 2143/97 + -2858/485. Factor 3/5*m**3 + 81/5*m + 27/5*m**2 + n.
3*(m + 3)**3/5
Let s(f) be the third derivative of -169/12*f**4 + 11/21*f**7 - 9*f - 139/20*f**6 + 0*f**3 - 1/84*f**8 + 0 + 5*f**2 + 533/30*f**5. What is o in s(o) = 0?
0, 1/2, 1, 13
Let v be 2/(-5) - (-1300)/750. Let q(d) be the first derivative of d**4 - 4*d**2 - v*d**3 + 0*d + 12. Determine m so that q(m) = 0.
-1, 0, 2
Suppose -3*q + 21 = -24*c + 27*c, 4*c - 25 = -3*q. Solve 7*w**3 - 3*w**3 + 6*w + 10*w**2 + w**q - w = 0 for w.
-1, 0
Solve 250/3*m - 164 - 2/3*m**2 = 0.
2, 123
Let v be ((-3)/4)/(23313/(-456) + 47). Factor 0 - v*n**4 - 6/11*n + 10/11*n**2 - 2/11*n**3.
-2*n*(n - 1)**2*(n + 3)/11
Let a(o) be the third derivative of 0*o - 1/5*o**5 + 1/120*o**6 - 5/3*o**3 + 7/8*o**4 + 0 - 29*o**2. Factor a(w).
(w - 10)*(w - 1)**2
Suppose -9 = -3*j - 4*w + 5, 0 = -j + 3*w + 22. Factor -h**4 + 5 - h**5 - 7*h**4 - j*h**3 + 2*h**2 + 11*h + h**4.
-(h - 1)*(h + 1)**3*(h + 5)
Let b(g) = -4*g**4 - 594*g**3 + 2245*g**2 - 13*g - 299. Let f(l) = l**4 + 198*l**3 - 748*l**2 + 4*l + 92. Let v(c) = 4*b(c) + 13*f(c). Factor v(k).
-3*k**2*(k - 62)*(k - 4)
Let l(o) be the first derivative of 16/45*o**5 + 98 + 0*o + 0*o**2 + 4/3*o**3 + 1/27*o**6 + 7/6*o**4. Factor l(q).
2*q**2*(q + 2)*(q + 3)**2/9
Let l(s) be the first derivative of -2*s**3/15 - 208*s**2/5 - 1632*s/5 + 1024. Factor l(w).
-2*(w + 4)*(w + 204)/5
Suppose 61 + 43 - 132*o**2 + 268*o**2 - 132*o**2 - 108*o = 0. What is o?
1, 26
Let x(j) be the second derivative of -j**7/63 + 83*j**6/45 - 235*j**5/3 + 1341*j**4 - 4617*j**3 + 6561*j**2 + 14*j - 3. Factor x(t).
-2*(t - 27)**3*(t - 1)**2/3
Suppose 0 = 4*p + 3*d - 5*d + 1420, -4*p - 1392 = 5*d. Let l = p - -355. Suppose l*i**2 + 2/5*i**3 + 16/5*i + 8/5 = 0. What is i?
-2, -1
Let x be (1210/50 - 1) + 12/(-10). Let z(b) be the first derivative of 3/10*b**2 - 1/5*b**3 - x + 0*b. Suppose z(v) = 0. What is v?
0, 1
Factor -480*l - 5023 + 2338 + 28*l**3 + 2541 + 92*l**2.
4*(l - 3)*(l + 6)*(7*l + 2)
Let t(o) be the third derivative of 0*o + 77*o**2 + 4/9*o**4 - 128/9*o**3 + 0 - 1/180*o**5. Factor t(r).
-(r - 16)**2/3
Let h(l) be the first derivative of -50/3*l**6 + 0*l - 15*l**2 + 34 - 205/3*l**3 - 485/4*l**4 - 88*l**5. Solve h(u) = 0 for u.
-3, -1/2, -2/5, 0
Suppose -333 = -5*x + 2*k + 231, 5*k - 471 = -4*x. Let 103*g - x*g - 149*g - 60*g**3 - 10*g**4 + 200*g**2 + 5*g**5 = 0. What is g?
-4, 0, 2
Let m = 7167/1342 + -585/122. Factor -2/11 - m*c - 6/11*c**2 - 2/11*c**3.
-2*(c + 1)**3/11
Let n = 119 + -70. Let z = n + -13. What is b in z*b**2 - 37*b**2 - 26 - 10*b + 1 = 0?
-5
Let n(a) be the first derivative of a**7/1120 + a**6/160 - a**5/40 + 46*a**3 + 150. Let i(r) be the third derivative of n(r). Determine c, given that i(c) = 0.
-4, 0, 1
Let g(l) be the third derivative of l**7/70 + 3*l**6/20 - 31*l**5/20 - 39*l**4/2 + 90*l**3 - 5*l**2 + 36*l. Factor g(z).
3*(z - 5)*(z - 1)*(z + 6)**2
Let s be 33 + 68/85*-5. Let z(y) be the second derivative of -3/4*y**2 + 1/4*y**3 + 0 - 3/40*y**5 + 1/8*y**4 - s*y. Find u, given that z(u) = 0.
-1, 1
What is o in -64/3*o**2 + 0 + 8/3*o - 2*o**3 - 16/3*o**5 + 50/3*o**4 = 0?
-1, 0, 1/8, 2
Factor -8/3*b**2 - 10/3*b + 2/3*b**3 + 0.
2*b*(b - 5)*(b + 1)/3
Let f(g) = 7*g**2 - g. Let w = 5 + 0. Let t(s) = 0*s**2 + 0*s**2 - 6*s**2. Let c(d) = w*f(d) + 6*t(d). Suppose c(l) = 0. What is l?
-5, 0
Let k(b) be the first derivative of -b**6/15 - 74*b**5/25 + 249*b**4/10 - 782*b**3/15 - 32*b**2 + 1032*b/5 + 4472. Find m, given that k(m) = 0.
-43, -1, 2, 3
Solve 112/3*h + 4/3*h**2 + 36 = 0.
-27, -1
Let v(r) be the first derivative of -137 + 1/3*r**6 + 3*r**4 - 8/3*r**3 + 0*r - 8/5*r**5 + r**2. Factor v(l).
2*l*(l - 1)**4
Let v(f) be the first derivative of f**5/30 - 2*f**4/3 + 23*f**3/9 + 12*f**2 + 27*f/2 - 1000. Factor v(w).
(w - 9)**2*(w + 1)**2/6
Let k(r) be the second derivative of -r**7/21 - 4*r**6/15 + 17*r**5/5 + 2*r**4/3 - 35*r**3 - 72*r**2 - 1120*r. Let k(i) = 0. Calculate i.
-8, -1, 3
Let g be ((-63)/6 + 10)/(6 - (-200)/(-32)). Solve -2/11 - 16/11*x - 32/11*x**g = 0 for x.
-1/4
Let b(f) be the second derivative of f**5/60 + 31*f**4/72 - 11*f**3/9 - 113*f**2/2 - 6*f - 6. Let i(d) be the first derivative of b(d). Solve i(s) = 0 for s.
-11, 2/3
Let y(q) be the third derivative of -q**7/105 + 41*q**6/30 - 559*q**5/10 - 82*q**4/3 + 6724*q**3/3 - 2071*q**2. Factor y(w).
-2*(w - 41)**2*(w - 2)*(w + 2)
Let m be 224/28 + (-21116)/220. Let h = -439/5 - m. What is c in -2/11*c - h*c**2 + 4/11 = 0?
-2, 1
Let y(u) = -36*