44*l + 82. Let i(q) = -4*o(q) - 6*z(q). Factor i(v).
-4*(v - 20)*(v - 2)
Let t(x) be the second derivative of -x**7/210 - 13*x**6/150 - 67*x**5/100 - 57*x**4/20 - 36*x**3/5 - 54*x**2/5 - 57*x + 10. Factor t(k).
-(k + 2)**2*(k + 3)**3/5
Suppose 0 = -2594*b + 2596*b + 2*t - 2, -2*b + 4*t + 14 = 0. Factor o**2 + 1/4*o**5 - 3/2*o**b - 1/2*o**4 + 3/2 + 13/4*o.
(o - 3)*(o - 2)*(o + 1)**3/4
Let q = 438536/345 + -3748/69. Suppose -312/5*t - q - 4/5*t**2 = 0. What is t?
-39
Let q be 71/(79 + -150)*(4/(-2))/6. Suppose 0 - q*i**2 + 2/3*i = 0. Calculate i.
0, 2
Let u(j) be the second derivative of 5*j + 2/105*j**6 + 5/21*j**4 - 4/3*j**3 - 31 + 0*j**2 + 8/35*j**5. Suppose u(f) = 0. What is f?
-7, -2, 0, 1
Suppose 222 + 493 = 536*a - 357. Solve -35/2*k**a + 25/2*k**3 - 5/2*k**4 + 15/2*k + 0 = 0 for k.
0, 1, 3
Let w = 3219 + -3217. Let s(k) be the first derivative of -1/33*k**3 + 7/11*k**w + 38 - 49/11*k. Solve s(y) = 0.
7
Let g(o) be the first derivative of 37 - 1/2*o**3 + 15/8*o**2 - 1/8*o**6 + 3/5*o**5 - 3/2*o - 3/4*o**4. Solve g(v) = 0.
-1, 1, 2
Suppose -33*l - 558 = -2*l. Let c be ((-35)/(-42) - 3/l)*2. Suppose 1/4*p**5 + 0 + 1/2*p**4 - 1/4*p + 0*p**3 - 1/2*p**c = 0. Calculate p.
-1, 0, 1
Factor -1/3*s**2 - 8 - 11/3*s.
-(s + 3)*(s + 8)/3
Suppose -5*z - 4*l - 6 = 0, 2*l - 22 = 3*z - 36. Let m(t) be the third derivative of -5*t**z + 0*t - 1 + 0*t**3 - 1/33*t**4 + 1/330*t**5. Factor m(j).
2*j*(j - 4)/11
Suppose 0 = -8*z + 191 + 9. Suppose -5*m - z + 45 = 0. Determine a, given that 34*a**4 + 35*a**3 + 2*a**m + 5*a**2 - 2*a**4 - 80*a**5 + 6*a**4 = 0.
-1/4, 0, 1
Suppose -t = -5*g - 69 + 21, -6*t + 4*g = -54. Factor 7/3*r**4 - 7/3*r**2 + 0*r + 1/3*r**5 - 1/3*r**t + 0.
r**2*(r - 1)*(r + 1)*(r + 7)/3
Find z such that -58095*z - 4*z**3 + 60079*z - 50*z**2 - 8960 - 26*z**2 = 0.
-35, 8
Let a(s) be the third derivative of -s**6/280 + s**5/5 - 13*s**4/14 - 718*s**2. Factor a(h).
-3*h*(h - 26)*(h - 2)/7
Suppose -28*y - 9*y = -222. Solve -168*g**3 - y*g**4 + 11*g**4 - 9*g**4 = 0 for g.
-42, 0
Let r be (2/1 - 13) + 76 + -66 + 3. Solve -s + 0 - 1/2*s**r + 1/2*s**4 + s**3 = 0 for s.
-2, -1, 0, 1
Find h, given that 46 + 508*h**2 + 61 + 37 + 96*h**3 - 54*h**4 - 18*h**4 + 492*h + 8*h**4 = 0.
-1, -3/4, 4
Let k(h) = -6*h + 34. Let d be k(5). Find z such that -12*z**d + 6*z**4 + 51*z**4 + 155*z**2 + 60 + 295*z - 555*z**3 = 0.
-1/3, 1, 12
Let l(v) be the first derivative of -3*v**6/4 + 66*v**5/5 - 301*v**4/8 + 79*v**3/3 - 6*v**2 + 744. Suppose l(m) = 0. Calculate m.
0, 1/3, 2, 12
Let x(b) be the second derivative of 0 + 6*b - 1/14*b**7 - 23/2*b**4 - 9/2*b**5 - 33/2*b**3 - 9/10*b**6 - 27/2*b**2. Suppose x(g) = 0. What is g?
-3, -1
Let g(w) be the third derivative of -30*w**2 - 1/210*w**5 + 1/420*w**6 + 0*w**3 + 0 - 1/42*w**4 + 0*w. Factor g(v).
2*v*(v - 2)*(v + 1)/7
Let u(h) be the first derivative of h**5/50 - h**4/30 - 4*h**3/15 + 4*h**2/5 + 53*h - 44. Let z(m) be the first derivative of u(m). Factor z(g).
2*(g - 2)*(g - 1)*(g + 2)/5
Let y(z) = -280*z - 701. Let c be y(-13). Let f = 49981/17 - c. Solve 4/17 - f*k**2 - 14/17*k = 0.
-1, 2/9
Let y(h) be the second derivative of 0*h**4 + 0*h**2 - 1/75*h**6 - 1/50*h**5 + 0*h**3 - 36 - 5*h. Determine z so that y(z) = 0.
-1, 0
Suppose 4*x - 5*y = 2800, x + 128*y = 127*y + 709. Let n = x - 703. Factor 0*r + 1/4*r**n + 0 + 1/4*r**3.
r**2*(r + 1)/4
Let b(h) be the first derivative of -37*h**3/7 - 108*h**2/7 + 12*h/7 - 529. Let b(t) = 0. Calculate t.
-2, 2/37
Let s(f) be the third derivative of 0*f + 0 - 1/18*f**4 + 1/540*f**6 - 1/180*f**5 - 1/6*f**3 + 17*f**2. Let m(h) be the first derivative of s(h). Factor m(p).
2*(p - 2)*(p + 1)/3
Let n(l) be the second derivative of l**7/21 - 1228*l**6/35 - 6333*l**5/70 - 793*l**4/21 + 352*l**3/7 + 95*l - 12. Let n(p) = 0. What is p?
-1, 0, 2/7, 528
Let n(y) be the second derivative of -90*y + 0 - 6/5*y**5 + 0*y**2 + 0*y**3 - 1/3*y**4. Suppose n(k) = 0. What is k?
-1/6, 0
Let b(q) = q**3 + 8*q**2 + 6. Let y be b(-8). Suppose y*z = 7*z - 8. Factor 5*i + i**2 - z + 2*i**3 + 10 - 10*i.
(i - 1)*(i + 2)*(2*i - 1)
Factor -12185*n - 1797228 + 36*n**2 + 181*n**2 - 11035*n - 292*n**2.
-3*(5*n + 774)**2
Let g(k) = -14*k**3 + 66*k**2 - 64*k - 21. Let a(t) = 1. Suppose 3*x = 2*q - 13, 5*q - 4*x + 15 = -6*x. Let m(f) = q*g(f) + 3*a(f). Factor m(u).
2*(u - 3)*(u - 2)*(7*u + 2)
Let s(d) be the second derivative of -9*d**5/20 + 203*d**4/2 - 1034*d**3 - 2340*d**2 - 336*d. Factor s(n).
-3*(n - 130)*(n - 6)*(3*n + 2)
Let w(k) be the third derivative of -k**8/2352 - k**7/294 + 3*k**6/140 + k**5/21 - k**4/3 - 43*k**2 - 11. What is q in w(q) = 0?
-7, -2, 0, 2
Let b = -611 - -633. Let o be 4*(-5 - (-111)/b)*2. Factor 0 - 2/11*q - 4/11*q**4 + 0*q**3 + o*q**2 + 2/11*q**5.
2*q*(q - 1)**3*(q + 1)/11
Let t = -10681/5 + 2137. Let l(v) be the first derivative of 2*v**2 + 0*v + 3*v**4 - 4*v**3 - t*v**5 - 12. Find u such that l(u) = 0.
0, 1
Let g(k) be the first derivative of k**3/12 + 157*k**2/4 + 24649*k/4 + 732. Let g(i) = 0. Calculate i.
-157
Let q(o) be the second derivative of o**6/30 - o**5/5 + o**4/2 - 2*o**3/3 + o**2/2 + 2*o - 88. Factor q(m).
(m - 1)**4
Suppose -5*q = -3*q - 12. Factor q*d - 4*d + 232*d**2 + 12 - 2*d**3 - 244*d**2.
-2*(d - 1)*(d + 1)*(d + 6)
Let d(s) be the third derivative of -s**6/40 + 3*s**5/20 + 5*s**4/24 + 78*s**2. Let c(a) = -a**3 + 4*a**2 + 2*a. Let z(u) = 5*c(u) - 2*d(u). Factor z(v).
v**2*(v + 2)
Let y(b) be the third derivative of -b**9/120960 - b**8/13440 - b**5/60 + 14*b**3/3 + 31*b**2. Let g(w) be the third derivative of y(w). Factor g(a).
-a**2*(a + 3)/2
Let g(w) be the second derivative of w**4/18 + 223*w**3/9 - 224*w**2/3 + 83*w - 4. Find r, given that g(r) = 0.
-224, 1
Suppose -69 = -z - 3*j, -3*z + 0*z = -3*j - 171. Factor 1205*m**2 + 20 - 248*m - z*m + 1520*m**4 - 320*m**5 - 2300*m**3 + 48*m.
-5*(m - 2)**2*(4*m - 1)**3
Let -70*f**4 + 216*f - 494*f**2 - 84*f**4 + 240*f**5 - 15315 + 15387 - 1560*f**3 = 0. Calculate f.
-2, -2/5, -1/3, 3/8, 3
Let p = -279 - -283. Suppose -3*t = t - 41596. Determine d, given that -t - 8*d**2 - p*d + 10403 - 16*d**2 = 0.
-1/2, 1/3
Let w(n) be the first derivative of -n**5/2 - 935*n**4/8 - 8670*n**3 - 98260*n**2 + 13363360*n + 6581. Factor w(j).
-5*(j - 17)*(j + 68)**3/2
Let p(s) be the first derivative of -3*s**6/2 + 99*s**5/10 + s**4/4 - 221*s**3/6 - 35*s**2/2 + 1656. Find w, given that p(w) = 0.
-7/6, -1/3, 0, 2, 5
Factor -3802075*i - 3*i**4 + 4469*i**3 - 131769*i**2 + 9116758*i - 3380*i**3.
-3*i*(i - 121)**3
Let t = 697 - 851. Let i be t/(-44) - 6/4. What is o in -24/5*o - 36/5 + 3/5*o**i + 3/5*o**3 = 0?
-2, 3
Factor -45*i**4 - 542*i**3 + 19*i**5 + 72*i**5 - 90*i**5 - 113*i**2 - 1262*i**2 + 17*i**3.
i**2*(i - 55)*(i + 5)**2
Determine b, given that 81*b**5 + 503 + 48*b - 144*b**3 - 108*b**4 - 243 - 260 + 48*b**2 = 0.
-2/3, 0, 2/3, 2
Let k(p) be the second derivative of p**7/126 + 7*p**6/15 - 23*p**5/5 + 142*p**4/9 - 64*p**3/3 - 2814*p. Factor k(o).
o*(o - 2)**3*(o + 48)/3
Suppose 5*t = -16 - 49. Let h be 108/26 + 2/t. Factor 15*j - 6 - 1 + h + 18*j**2.
3*(j + 1)*(6*j - 1)
Let m = 91/158 - 6/79. Let w be (-26)/104*(-324)/2. Factor m*u**2 + w - 9*u.
(u - 9)**2/2
Factor -4*d**3 + 2882*d**2 - 4 + 3 - 2862*d**2 + 1 - 16*d.
-4*d*(d - 4)*(d - 1)
Let i = 166896 + -834479/5. Let b = -7 - -9. Factor 1/5*f - i*f**b + 6/5.
-(f - 3)*(f + 2)/5
Let c(y) be the second derivative of y**4/3 - 78*y**3 + 232*y**2 - 4*y - 654. Factor c(m).
4*(m - 116)*(m - 1)
Let u(x) be the second derivative of -32/15*x**6 - 1/21*x**7 + 0*x**5 + 0*x**4 + 0*x**3 + 1 + 0*x**2 + 13*x. Factor u(i).
-2*i**4*(i + 32)
Let n be (-209)/38*(118/(-22) - -5). Factor n*p**2 - 1/2*p**4 - p**3 + 4*p + 0.
-p*(p - 2)*(p + 2)**2/2
Let j(z) be the second derivative of -z**4/3 + 1624*z**3/3 - 329672*z**2 - 2*z - 735. Suppose j(p) = 0. Calculate p.
406
Let a(b) be the first derivative of 3*b**4/28 + 48*b**3/7 - 49152*b/7 - 3940. Factor a(g).
3*(g - 16)*(g + 32)**2/7
Factor -932*m - 2086*m**3 + 19*m**2 + 122 + 12*m**2 + 586 + 189*m**2 + 2090*m**3.
4*(m - 3)*(m - 1)*(m + 59)
Factor -1915*m - 33409*m**2 + 1910 + 66811*m**2 - 33397*m**2.
5*(m - 382)*(m - 1)
Suppose 2*d = o + 601, 20*o - 18*o = -5*d + 1516. Factor -5445 - 5*c**2 + d*c + 430*c - 1062*c.
-5*(c + 33)**2
Let i(y) be the first derivative of -y**4/10 + 