(c - 210)*(c + 5)/4
Suppose 0 = -102*o + 383 + 25. Factor 0 - 1024/15*z - 16/5*z**3 - 128/5*z**2 - 2/15*z**o.
-2*z*(z + 8)**3/15
Let d(y) be the third derivative of 0*y**4 - 3*y**2 + 1/42*y**6 - 1/735*y**7 + 56 + 11/210*y**5 + 0*y + 0*y**3. Factor d(x).
-2*x**2*(x - 11)*(x + 1)/7
Suppose -5*v + 3*u = -2, 3*v - 332*u - 6 = -331*u. Let q(b) be the third derivative of 0*b + 0 + 1/270*b**5 - 25*b**2 + 1/3*b**3 + 5/54*b**v. Factor q(i).
2*(i + 1)*(i + 9)/9
Let b(k) be the first derivative of k**4/2 + 154*k**3 - 936*k**2 + 1880*k + 2397. Factor b(h).
2*(h - 2)**2*(h + 235)
Let r = 2387/30 - 779/10. Factor r*s - 1/6*s**2 - 7/2.
-(s - 7)*(s - 3)/6
Let l(v) be the first derivative of -2*v**3 - 387*v**2/2 - 192*v - 257. Factor l(s).
-3*(s + 64)*(2*s + 1)
Let m(v) be the second derivative of v**5/600 - 103*v**2/2 - 172*v. Let g(a) be the first derivative of m(a). Factor g(f).
f**2/10
Let d(g) be the second derivative of 7/18*g**4 + 2 + 110/9*g**3 - 32/3*g**2 - 12*g. Factor d(n).
2*(n + 16)*(7*n - 2)/3
Let a be 689/364 + 28/7 + 29/(-7). Let g(h) be the second derivative of 0 - a*h**3 + 1/4*h**4 - 16*h - 3/2*h**2 + 21/40*h**5. Factor g(k).
3*(k - 1)*(k + 1)*(7*k + 2)/2
Let u = 1/4753 - -2181623/19012. Let t = u + -113. Factor -1/2 + 7/4*g - t*g**3 - 3/4*g**2 + 5/4*g**4.
(g - 1)**2*(g + 1)*(5*g - 2)/4
Let v = -819166/5 - -163835. Factor -v*u**2 - 6/5*u**3 - 12/5 + 24/5*u + 3/5*u**4.
3*(u - 2)*(u - 1)**2*(u + 2)/5
Suppose 686/3*i**3 + 300 + 22/3*i**4 + 1990*i + 5734/3*i**2 = 0. Calculate i.
-15, -1, -2/11
Let p(q) be the second derivative of 1/18*q**3 + 1/36*q**6 + 1/30*q**5 - 11/72*q**4 + 0 + 0*q**2 - 98*q. Let p(m) = 0. What is m?
-2, 0, 1/5, 1
Let w = -165 - -169. Solve -4*h + 43*h**2 - 88*h**2 + 44*h**2 + w + h**3 = 0 for h.
-2, 1, 2
Let w(s) be the second derivative of -5/3*s**3 + 1/18*s**4 + 0 + 1/60*s**5 - 11*s + 0*s**2 + 1/540*s**6. Let p(j) be the second derivative of w(j). Factor p(b).
2*(b + 1)*(b + 2)/3
Let h(y) be the first derivative of -y**6/12 - 2*y**5/5 - y**4/8 + 7*y**3/3 + 5*y**2 + 4*y - 1414. Solve h(c) = 0 for c.
-2, -1, 2
Let r(g) be the third derivative of 8*g**7/105 + 19*g**6/10 + 14*g**5 + 49*g**4/6 - g**2 - 42. Solve r(l) = 0.
-7, -1/4, 0
Let j(n) be the third derivative of -5*n**8/336 - n**7/14 + n**6/8 + 7*n**5/12 - 5*n**4/4 - 262*n**2 + 1. Determine w, given that j(w) = 0.
-3, -2, 0, 1
Let n(s) be the second derivative of 5*s**4/12 + 815*s**3/3 + 132845*s**2/2 + 622*s - 1. Factor n(k).
5*(k + 163)**2
Let n(z) be the third derivative of 1/420*z**5 + 3/56*z**4 + z**2 + 0*z**3 + 2*z + 0. Factor n(d).
d*(d + 9)/7
Let m(i) be the third derivative of -1/144*i**4 + 1/720*i**6 + 0*i + 0*i**5 + 0*i**3 + 0 + 3*i**2. Solve m(r) = 0.
-1, 0, 1
Suppose -42*q + 15 = -39*q. Suppose -6*m + 5*m = -2*l + 5, l + 11 = q*m. Factor 2/5*r**2 + 0 - 4/5*r + 2/5*r**m.
2*r*(r - 1)*(r + 2)/5
Suppose 2623 = 169*x + 2285. Determine r so that 2/7*r**4 + 0 + 12/7*r**x + 0*r - 2*r**3 = 0.
0, 1, 6
Factor -436/5*a - 222/5*a**2 + 0 - 2/5*a**3.
-2*a*(a + 2)*(a + 109)/5
Suppose 3*y = 2*g - 21, 14 = g + 5*y - 3. Factor g*x + 6 + 7 - 8 + 8 - x**2.
-(x - 13)*(x + 1)
Find a, given that -903168/11 + 2688/11*a - 2/11*a**2 = 0.
672
Suppose 10 = b + d, -3*b + 0*d - 4*d = -35. Suppose -7*u + 49 = -175. Factor 2*g**b + 16 - 20*g**3 + u*g - 4*g**4 + 6*g**2 - 2*g**2 + 2*g**5.
4*(g - 2)**2*(g + 1)**3
Let o(q) = 2*q + 32. Let r be o(-15). Factor 52 + 3*n**2 - n**r - 2*n - 52*n.
2*(n - 26)*(n - 1)
Suppose 4*y = -2*c + 66, 21 = 2*y + 3*c - 2. Suppose y*i - 3*i**2 - 31 + 10*i - 6*i - 32 + 7*i = 0. Calculate i.
3, 7
Let a(f) be the first derivative of -f**6/120 - 11*f**5/10 - 121*f**4/2 - 2*f**3 + 27. Let m(w) be the third derivative of a(w). Determine c so that m(c) = 0.
-22
Let 0 - 52/5*i**2 + 0*i + 2/5*i**4 - 10*i**3 = 0. Calculate i.
-1, 0, 26
Let -291*p + p**2 + 649 - 341*p - 18*p = 0. What is p?
1, 649
Let g be 216/28 - 6/(-21). Let j be 1/(-3 - (-28)/g). Factor -10*h - h**3 + 39*h**j - 44*h**2 - 2*h**3 + 8*h**3.
5*h*(h - 2)*(h + 1)
Let c(a) = 240*a**3 + 5*a**2 - 15*a - 10. Let y(z) = z**4 - z**3 - z**2 + 3*z + 2. Let g(p) = -c(p) - 5*y(p). Let g(s) = 0. What is s?
-47, 0
Let t(a) be the third derivative of a**6/120 + 197*a**5/10 + 787*a**4/8 + 590*a**3/3 - 50*a**2 - 63*a. Factor t(s).
(s + 1)**2*(s + 1180)
Let x = 6135642/55 + -557782/5. Let x*l - 2/11*l**2 - 8/11 = 0. What is l?
2
Let u(w) = 2*w**3 - 134*w**2 + 11*w - 716. Let r be u(67). Solve 147 + 3/4*n**2 + r*n = 0.
-14
Let q(c) be the third derivative of c**11/1496880 + c**10/170100 + c**9/90720 - 107*c**5/60 + c**2 + 2. Let n(t) be the third derivative of q(t). Factor n(d).
2*d**3*(d + 1)*(d + 3)/9
Let h(x) = x + 16. Let z be h(-14). Suppose 15 + 3 = 5*k + 2*j, k = z*j - 6. Find s such that -24*s + 4*s**2 + 43 - k*s**5 + 14*s**3 - 59 + 0*s**2 = 0.
-2, -1, 2
Solve 13 + 3*g**3 - 283 - 495*g - 23*g**3 - 240*g**2 - 15*g**3 = 0 for g.
-3, -6/7
Suppose 5*x + 3*d = 8*d + 145, 0 = -5*x - 2*d + 117. Suppose x*v + 32*v = 68*v. Determine o so that -3/2*o**3 + 3/4*o**2 + 0*o + v + 3/4*o**4 = 0.
0, 1
Let p(s) be the third derivative of -s**8/30240 + s**7/1890 - s**6/360 + 2*s**5/5 - s**3/6 + 69*s**2. Let q(l) be the third derivative of p(l). Solve q(z) = 0.
1, 3
Solve 2113*z - 257*z**3 + 1027*z**2 - 23*z**3 + 5*z**4 - 2582*z**2 + 362*z - 645*z = 0.
-6, 0, 1, 61
Let w = 151741/28 - 5419. Let d(m) be the first derivative of 7 - 3/35*m**5 - w*m**4 + 0*m - 3/14*m**2 - 3/7*m**3. Let d(h) = 0. Calculate h.
-1, 0
Suppose 4*g + 3*l + 212 - 218 = 0, g + l - 2 = 0. Determine f, given that g + 5/2*f**4 + 0*f**2 - 1/2*f**3 + 0*f - 2*f**5 = 0.
0, 1/4, 1
Factor -24243 - 3*r**3 + 469*r**2 - 1288*r**2 + 1738 - 32983 - 56304*r.
-3*(r + 1)*(r + 136)**2
Let m = 836 + -826. Suppose -4*h - 2*f + 39 - 29 = 0, -5*h - 5*f = -m. Determine i, given that 1/10*i**2 + 0*i**h + 0*i + 0 - 1/10*i**4 = 0.
-1, 0, 1
Suppose 8*b = -2*b + 20. Factor 4312*s**3 + 5 - 26*s + 600*s**b + 5831*s**4 + 240*s**2 - 21 - 6*s.
(7*s + 2)**3*(17*s - 2)
Find c, given that -140/3*c - 1/6*c**5 + 0 + 24*c**4 + 117*c**2 - 565/6*c**3 = 0.
0, 1, 2, 140
Let n be (18537/(-43253))/(3/(-28)). Determine o, given that 0 - 64/3*o**2 - 16*o - 4/3*o**n - 28/3*o**3 = 0.
-3, -2, 0
Let v be ((-59544)/12405)/(8/(-5)). Solve 0 + v*z - 1/2*z**2 = 0.
0, 6
Let j(x) = 2*x**2 + 169*x - 1477. Let t be j(8). Factor t*q - 3/5*q**2 + 18/5.
-3*(q - 6)*(q + 1)/5
Solve 0 - 2/5*v**3 + 1202/5*v - 240*v**2 = 0 for v.
-601, 0, 1
Let k(o) be the first derivative of 4*o**3/3 + 88*o**2 + 172*o + 449. Suppose k(x) = 0. What is x?
-43, -1
Suppose -4*o - 19 = -123. Suppose 0 = o*y - 18*y - 24. Suppose -y*r**2 + 24 - 67 + 19 - 27*r = 0. Calculate r.
-8, -1
Factor -3/5*s**2 + 66 + 159/5*s.
-3*(s - 55)*(s + 2)/5
Let b be ((-13)/((-325)/10))/(10/50 - 0). Solve -54/5 + 3/5*l**b - 51/5*l = 0 for l.
-1, 18
Let l = -25005/322 + 707/46. Let n = -62 - l. Factor -n*j**4 + 2/7*j**2 + 2/7*j**3 - 2/7*j + 0.
-2*j*(j - 1)**2*(j + 1)/7
Let p(r) = -21*r - 144. Let h be p(-7). Let g be (h/(18/(-10)))/((-595)/714). Solve -6/13*t**g - 4/13*t + 0 - 2/13*t**3 = 0 for t.
-2, -1, 0
Let i(u) be the third derivative of u**6/160 + 117*u**5/80 - 59*u**4/16 + 382*u**2. Factor i(r).
3*r*(r - 1)*(r + 118)/4
Let h = 34673 - 34667. Find i such that -15/2*i**2 + 3*i + 0 - 3/2*i**4 + h*i**3 = 0.
0, 1, 2
Let o(h) = -25018*h - 50034. Let d be o(-2). What is g in 1/4*g**5 - 3/4*g**3 - 1/2*g**4 + 0*g + 0 + 0*g**d = 0?
-1, 0, 3
Let w(f) be the first derivative of -7*f**4/12 - 362*f**3/9 - 298*f**2/3 + 200*f/3 + 1142. Let w(i) = 0. What is i?
-50, -2, 2/7
Suppose 114*g - 92 - 176 = 47*g. Let c(i) be the first derivative of 28 - 3/2*i**3 + 6*i + 0*i**2 + 3/8*i**g. Factor c(x).
3*(x - 2)**2*(x + 1)/2
Let g(f) = f**3 + 5*f**2 + 3*f - 7. Let v = 21 - 24. Let k be g(v). Factor -3*b + 25*b**4 + 3*b**3 - 54*b**4 + 26*b**4 + 0*b**2 + 3*b**k.
-3*b*(b - 1)**2*(b + 1)
Let d(v) be the second derivative of -v**6/75 + 3*v**5/5 - 19*v**4/10 + 28*v**3/15 + 1029*v. Determine r so that d(r) = 0.
0, 1, 28
Let p be 692/2768*(-2 - -2)*1. Let z(x) be the second derivative of 0*x**2 - 1/4*x**4 + p - 3*x**3 - 4*x. What is o in z(o) = 0?
-6, 0
Let w(s) = 5*s**2 - 536*s + 2165. Let x be w(103). Factor 2 + 3/2*a**3 - 7/2*a**x + 0*a.
(a - 2)*(a - 1)*(3*a + 2)/2
Let b(k) be the third derivat