Find c, given that 6*c**3 - 34*c**2 + 39 - w + 18*c + 42 = 0.
-1/3, 1, 5
Let p(o) be the second derivative of o**4/36 - 14*o**3/9 + 22*o**2 - 174*o. Factor p(g).
(g - 22)*(g - 6)/3
Let r(w) be the third derivative of -24*w**2 - 1/120*w**5 + 0 - 17/12*w**3 + 0*w + 3/8*w**4. Factor r(g).
-(g - 17)*(g - 1)/2
Factor -7/8*z - 1/8*z**2 + 1/8 + 7/8*z**3.
(z - 1)*(z + 1)*(7*z - 1)/8
Suppose 0 = 2*b + 4*u - u + 75, 0 = 3*b - u + 107. Let z(c) = -17*c**2 - 4*c - 23. Let n(w) = 2*w**2 - 1. Let m(i) = b*n(i) - 4*z(i). Factor m(p).
-4*(p - 8)*(p + 4)
Let u(x) = 2*x**2 - x - 4. Let h(p) = 29*p**2 - 1901*p - 1944. Let t(f) = -5*h(f) + 70*u(f). Solve t(o) = 0 for o.
-1, 1888
Let m be (5/(-4))/(50/10*-2). Let l(u) be the first derivative of 0*u - 3 + m*u**4 - 1/2*u**2 + 1/6*u**3. What is p in l(p) = 0?
-2, 0, 1
Factor 3764*h**2 - 3788*h**2 - 4*h**3 - 45*h**4 + 49*h**4.
4*h**2*(h - 3)*(h + 2)
Let h be (-26 + 16 - 19) + 31. Solve -5/2*r**4 + 1/2*r**2 - 7/2*r**3 + 4*r + h - 1/2*r**5 = 0 for r.
-2, -1, 1
Let s(i) be the first derivative of -12*i**5/5 + 9*i**4/4 + 161*i**3 - 612*i**2 - 336*i - 1589. What is b in s(b) = 0?
-7, -1/4, 4
Let b = 4 + 32. Suppose -56 - 16 = -b*j. Suppose 10*c + 3/2*c**j - 2 - 49/2*c**4 - 35*c**3 = 0. What is c?
-1, 2/7
Let u(g) be the second derivative of 256*g + 29/3*g**3 + 5/3*g**4 + 1/10*g**5 + 0 + 20*g**2. Suppose u(d) = 0. Calculate d.
-5, -4, -1
Let s(z) = -15*z**3 + 302*z**2 + 1210*z + 1220. Let y(q) = 7*q**3 - q**2 + q - 2. Let f(v) = s(v) + 2*y(v). Suppose f(h) = 0. Calculate h.
-2, 304
Factor 469*q + 57*q**2 + 293*q - 112*q**2 + 57*q**2.
2*q*(q + 381)
Let h(n) be the third derivative of 5/18*n**4 + 3*n**2 + 14 + 1/252*n**8 + 2/3*n**3 - 2/315*n**7 + 0*n - 1/15*n**6 - 2/45*n**5. Factor h(g).
4*(g - 3)*(g - 1)*(g + 1)**3/3
Let a be (-1)/(-3) + 460/60. Suppose -3*w - 2*k + 3 = -2, k = 2*w - a. Factor -272*r + 17*r**2 + 4*r**w - r**2 + 284*r.
4*r*(r + 1)*(r + 3)
Let f(b) = 2*b**2 - 15*b + 7. Suppose 35 = 9*t - 4*t. Let p be f(t). Find w, given that -w + 2*w + p*w**2 + 3*w**2 - 4*w**2 = 0.
0, 1
Let x(a) = -2*a**2 + 3461*a + 38313. Let l be x(-11). Factor 1/3*w - 1/3*w**5 - 2/3*w**2 + l*w**3 + 2/3*w**4 + 0.
-w*(w - 1)**3*(w + 1)/3
Let t be (0 + -1)*-9 + 13/676*-20*23. Suppose 0 - t*s**2 - 6/13*s = 0. Calculate s.
-3, 0
Let p(n) = -5*n**2 + 2*n - 1. Let f(o) = 27*o**2 + 9*o - 30. Let r(s) = -f(s) - 6*p(s). Factor r(i).
3*(i - 4)*(i - 3)
Let w(t) = t**3 - 2*t**2 - t - 1. Let j(c) = -8*c**3 + 20*c**2 - c + 7. Let f(v) = -4*j(v) - 28*w(v). What is n in f(n) = 0?
0, 2, 4
Let k(p) be the third derivative of 7/3*p**4 + 0 + 4*p**3 + 19/30*p**5 - 13*p**2 - 1/105*p**7 + 1/30*p**6 + 2*p. Let k(s) = 0. What is s?
-2, -1, 6
Factor 396*w**2 + 57499200 - 261360*w - 1/5*w**3.
-(w - 660)**3/5
Let a(j) be the third derivative of j**8/168 - 38*j**7/105 + 283*j**6/60 - 319*j**5/15 - 8*j**4/3 + 928*j**3/3 - 2*j**2 + 1872. Suppose a(p) = 0. Calculate p.
-1, 2, 4, 29
Let c(s) be the second derivative of s**5/5 + 60*s**4 - 362*s**3/3 + 610*s + 2. Factor c(p).
4*p*(p - 1)*(p + 181)
Factor -2/3*t**3 - 38/3*t + 52/3*t**2 - 100.
-2*(t - 25)*(t - 3)*(t + 2)/3
Let a(u) be the second derivative of -4*u**6/165 + 43*u**5/110 - 14*u**4/11 - 60*u**3/11 + 2*u - 41. Factor a(y).
-2*y*(y - 6)**2*(4*y + 5)/11
Let c(x) = x**3 + x**2 - x + 3. Let j(r) = r**3 - 557*r**2 + 2*r - 6. Let p(v) = -2*c(v) - j(v). Find s such that p(s) = 0.
0, 185
Solve -26*w - 116*w**2 + w**4 - 26*w - 19*w**3 - 35*w**3 + 221*w**2 = 0.
0, 1, 52
Let a be 18*(-18)/(-324)*33. Let z(q) be the first derivative of 2/11*q**2 + 10/33*q**3 + 0*q + 1/22*q**4 - 4/55*q**5 - a. Determine g so that z(g) = 0.
-1, -1/2, 0, 2
Factor -718/7*q**2 + 2/7*q**3 + 1430/7*q - 102.
2*(q - 357)*(q - 1)**2/7
Solve -80/7*x - 8*x**2 + 2/7*x**5 + 12/7*x**3 + 2*x**4 + 0 = 0.
-5, -2, 0, 2
Determine g, given that 5/6*g**2 + 182520 - 780*g = 0.
468
Let j(b) = b**2 + 2*b - 7. Let u be (-4 - -5 - 2)*(-8)/2. Let v(q) = -2*q**2 - 3*q + 12. Let d(o) = u*v(o) + 7*j(o). Factor d(y).
-(y - 1)**2
Let b(f) be the first derivative of -f**5/3 - 5*f**4/3 + 20*f**3/3 + 160*f**2/3 + 320*f/3 + 841. What is i in b(i) = 0?
-4, -2, 4
Let m = -18041 - -18041. Factor m + 5/6*a + 1/6*a**2.
a*(a + 5)/6
Let q(j) be the third derivative of -j**6/40 + 39*j**5/4 - 9603*j**4/8 + 9409*j**3/2 + 362*j**2. Factor q(w).
-3*(w - 97)**2*(w - 1)
Let m(v) = 12*v - 186*v**2 + 95*v**2 - 3*v**3 + 90*v**2 - 8. Let q(o) = -3*o**3 + 12*o - 9. Let f(b) = 3*m(b) - 4*q(b). What is s in f(s) = 0?
-2, 1, 2
Factor -3946*g + 81*g**2 + 71*g**2 - 154*g**2 - 4046*g - 7984008.
-2*(g + 1998)**2
Suppose 3*b + 3*z = b + 44353, -5*b + 110914 = -3*z. Find s, given that -16 - b*s**2 + 4*s - 20*s + 4*s**3 + 22185*s**2 = 0.
-2, -1, 2
Let m be (-12)/2 + (-114 - -125). Let n(c) be the second derivative of -8*c + 0 + 2/5*c**2 - 1/15*c**4 - 1/50*c**m + 1/15*c**3. Factor n(z).
-2*(z - 1)*(z + 1)*(z + 2)/5
Let r(q) be the second derivative of q**4/6 - 29*q**3/3 - 252*q**2 - 2*q - 208. Find v, given that r(v) = 0.
-7, 36
Let r(v) be the second derivative of 2/5*v**5 + 2*v**3 + 0*v**2 + 0 - 164*v + 25/6*v**4. Factor r(t).
2*t*(t + 6)*(4*t + 1)
Let j(x) be the second derivative of -x**7/1260 + 3*x**6/40 - 13*x**5/30 + x**4/6 - 74*x**3/3 - 26*x. Let r(k) be the third derivative of j(k). Factor r(z).
-2*(z - 26)*(z - 1)
Let w(b) = 22*b**2 + 134*b + 220. Let q(m) = 73 + 45*m - 2*m**2 - 6*m**2 + 5*m**2 + 11*m**2. Let t(s) = -8*q(s) + 3*w(s). Find u such that t(u) = 0.
-19, -2
Let d(r) be the second derivative of r**7/42 - r**6/30 - 3*r**5/10 + 47*r - 1. Factor d(x).
x**3*(x - 3)*(x + 2)
Let -82/3*u + 2/21*u**2 - 192/7 = 0. Calculate u.
-1, 288
Let p(y) = -16*y**2 - 47*y + 158. Let h(i) = -11*i**2 - 31*i + 115. Let m(l) = -7*h(l) + 5*p(l). Factor m(g).
-3*(g + 1)*(g + 5)
Let m be (1 + -6 + 5 - 0)/(-3). Suppose -3*f = 9*h - 6*h - 18, m = -h + 4*f + 6. Solve 3*g - 3/8*g**2 - h = 0.
4
Suppose -198 = k - 12*k. Suppose 0 = -k*g + 13*g. Factor g*u**2 - 8*u - 6*u**2 - 8 + 4*u**2.
-2*(u + 2)**2
Let q be (1/3)/(68/120). Suppose 4*k + 14 = -5*v + 5*k, 0 = 5*v - 216*k + 217*k - 34. Solve 8/17 - q*t + 2/17*t**v = 0 for t.
1, 4
Let d(i) be the first derivative of 7*i**4 + 230*i**3/3 + 22*i**2 - 32*i + 1107. Determine k, given that d(k) = 0.
-8, -1/2, 2/7
Let x(j) be the third derivative of 0*j**3 - 7/90*j**5 + 0*j + 230*j**2 + 1/6*j**4 + 1/180*j**6 + 0. Determine q, given that x(q) = 0.
0, 1, 6
Factor -9842*v**2 - 10445*v**2 - 1188 + 19414*v**2 + 883*v + 1334*v - 3*v**4 - 153*v**3.
-3*(v - 1)**2*(v + 9)*(v + 44)
Let u(q) be the second derivative of -q**4/9 - 1468*q**3/9 - 269378*q**2/3 + 982*q. Determine m so that u(m) = 0.
-367
Suppose 4*f = q - 8, -25*f + 20*f - 23 = 2*q. Let c be f*(-7)/105 - 33/(-135). Determine y so that 2/9*y**5 + 0 - 4/9*y**4 + 0*y**3 + c*y**2 - 2/9*y = 0.
-1, 0, 1
Let s(r) be the third derivative of -r**6/60 + 478*r**5/5 - 228484*r**4 + 873722816*r**3/3 + 68*r**2 + 3*r. Let s(k) = 0. Calculate k.
956
Solve 1/2*y**2 + 2601769/2 - 1613*y = 0.
1613
Let w(y) be the third derivative of -y**8/420 + 4*y**7/75 - 7*y**6/30 - 86*y**5/75 + 66*y**4/5 - 48*y**3 + 39*y**2 + 98*y. Find x, given that w(x) = 0.
-3, 2, 3, 10
Let g = -699/7 + 27967/280. Let w(m) be the second derivative of 0 - g*m**5 + m**2 + 1/12*m**3 - 1/6*m**4 + 7*m. Factor w(l).
-(l - 1)*(l + 1)*(l + 4)/2
Suppose 3756/13*y + 1763442/13 + 2/13*y**2 = 0. What is y?
-939
Let p = 54352/3 - 18117. Determine b so that p*b**2 + 1/3 - 2/3*b = 0.
1
Factor -466307*o**3 + 128 + 779*o**2 + 466295*o**3 - 541*o - 165*o.
-(o - 64)*(3*o - 2)*(4*o - 1)
Let g(z) be the third derivative of 0*z + 11/4*z**3 + 5/8*z**4 + 0 - 1/40*z**5 + 26*z**2. Factor g(j).
-3*(j - 11)*(j + 1)/2
Let x be (-10)/6 + -3*(11 - (-1616)/(-144)) - -3. Solve 1/5*k**x - 4/5*k + 3/5 = 0 for k.
1, 3
Suppose -3 = -3*h, -h - 182 = 2*q - 43. Let r = q - -281/4. Let r*z**3 + 3/4*z**2 + 0*z - 1 = 0. Calculate z.
-2, 1
Let g(w) be the third derivative of -w**6/960 + 5*w**5/96 - 67*w**4/96 - 10*w**3/3 + 520*w**2. Factor g(c).
-(c - 16)*(c - 10)*(c + 1)/8
Let z(a) = a**3 + a**2 - 3*a + 1. Let u(q) = q**3 - 622*q**2 - 129798*q - 8998910. Let m(y) = u(y) - 2*z(y). Solve m(p) = 0 for p.
-208
Let m(x) be the first derivative of -5*x**2 - 27*x - 5. Let q be m(-3). Factor -979 + 1054 + 3*p**4 + 180*p 