Solve r*c - 2/3*c**4 - 4/3*c**3 + 2*c**2 + 8/3 = 0 for c.
-2, -1, 2
Let w(s) be the first derivative of 2/3*s**3 - 7*s**2 - 69 + 0*s. Factor w(j).
2*j*(j - 7)
Let m = 230276 - 1611931/7. Determine y so that 2*y - m*y**5 - 11/7*y**4 - 41/7*y**2 + 0 + 39/7*y**3 = 0.
-14, 0, 1
Let o(n) be the second derivative of -n**7/20160 + n**6/360 + 3*n**5/80 + 17*n**4/12 + n**3/2 - 2*n + 35. Let w(t) be the third derivative of o(t). Factor w(b).
-(b - 18)*(b + 2)/8
Let a(y) = y**2. Let j(v) = 19*v**2 - 27*v + 12. Suppose 15*s = 44 + 16. Let z(c) = s*a(c) - j(c). Determine b, given that z(b) = 0.
4/5, 1
Let z(k) be the first derivative of -k**3/27 - 23*k**2/18 - 22*k/9 - 374. Factor z(w).
-(w + 1)*(w + 22)/9
Factor 0*f**3 - 3/2*f**4 + 0 + 243*f + 189/2*f**2.
-3*f*(f - 9)*(f + 3)*(f + 6)/2
Let i = -13/1043 + 4211/3129. Let b(o) be the first derivative of 26 - 24*o**2 - i*o**3 - 144*o. Suppose b(k) = 0. What is k?
-6
Factor 549 - 40879*i**2 - 2169 + 20477*i**2 + 20454*i**2 + 7008*i.
4*(i + 135)*(13*i - 3)
Let o(d) = -4*d**5 + 4*d**3 - 7. Let l(c) = c**3 - 4*c**2 - 2 + c**5 + 4*c**2 - 2*c**5. Let r be -3 - ((-2)/(-2))/(-1). Let s(k) = r*o(k) + 7*l(k). Factor s(p).
p**3*(p - 1)*(p + 1)
Let n(u) = -19*u. Let j be n(0). Suppose 7*g - 77 + 56 = j. Factor 2 - 2*t - 1/2*t**2 + 1/2*t**g.
(t - 2)*(t - 1)*(t + 2)/2
Let f = -5391/35 - -5587/35. Factor 14/5*o**3 + 0 - 2/5*o**4 + 16/5*o - f*o**2.
-2*o*(o - 4)*(o - 2)*(o - 1)/5
Let r = 385 - 813. Let s = r + 4716/11. Let 2/11*m**2 - 8/11*m - s + 2/11*m**3 = 0. Calculate m.
-2, -1, 2
Let y = -32 + 36. Suppose 5*r - 7*r = -y. Find p such that 49*p**2 + 0 + 2*p + 1 - 48*p**r = 0.
-1
Let f(o) be the third derivative of o**5/15 - 135*o**4 + 1618*o**3/3 - 423*o**2 - 3. Factor f(p).
4*(p - 809)*(p - 1)
Let k(l) be the third derivative of l**8/672 + l**7/84 - l**6/30 - l**5/10 + 16*l**2 - 3. Factor k(u).
u**2*(u - 2)*(u + 1)*(u + 6)/2
Find k, given that -2601 + 8007/2*k + 105/2*k**3 - 2909/2*k**2 - 1/2*k**4 = 0.
1, 2, 51
Let d be -7*(-42)/(-441)*(1/4 - 1). Factor d*i**2 + 3*i + 4.
(i + 2)*(i + 4)/2
Find s such that 13556*s + 13*s**4 - s**2 + 15*s**3 - 13571*s - 12*s**4 = 0.
-15, -1, 0, 1
Let t = -76 - -86. Factor 116*i**4 + 6*i**2 - t*i - 6*i**2 + 5 - 121*i**4 + 10*i**3.
-5*(i - 1)**3*(i + 1)
Suppose -133 = -3*g + 4*p + 141, 3*g + 5*p = 265. Factor -44*f**4 - 67*f**5 + 65*f**5 - g*f**3 - 152*f**3.
-2*f**3*(f + 11)**2
Let x be (2 - -2)*(-1 - 0)*(12211 - 12212). Suppose 11/5*a - 1/5*a**5 - 2*a**3 - 2/5*a**2 + 7/5*a**x - 1 = 0. Calculate a.
-1, 1, 5
Let k(l) = 18*l - 7. Let x be k(4). Let q = -63 + x. Suppose -q*d + 0*d**2 - 5*d**2 - 2*d**2 + 6*d**2 = 0. Calculate d.
-2, 0
Let s(b) be the second derivative of b**6/30 + 3*b**5/2 + 277*b**4/12 + 130*b**3 + 338*b**2 - 577*b. Find d, given that s(d) = 0.
-13, -2
Let w(o) be the second derivative of -3*o**5/20 - 9*o**4/4 - 3*o**3 + 24*o**2 - 724*o. Factor w(n).
-3*(n - 1)*(n + 2)*(n + 8)
Suppose 22*i + 18590 = -0*i. Let h = i + 847. Factor -1/5 + 2/5*x + 3*x**h.
(3*x + 1)*(5*x - 1)/5
Let f(n) be the third derivative of n**8/16 - 12*n**7/35 - 2*n**6/5 - 689*n**2 - 2. Factor f(r).
3*r**3*(r - 4)*(7*r + 4)
Let p(s) be the second derivative of -3*s**5/40 - 73*s**4/8 - 260*s**3 + 8400*s**2 + 7125*s. Solve p(x) = 0.
-40, 7
Let b = 45 + -42. Factor -6*j**b - 5*j**2 - 2*j**4 + 9*j**4 + 6*j + 2*j**2 - 4*j**4.
3*j*(j - 2)*(j - 1)*(j + 1)
Factor 9*t**2 - t**3 - 814*t + 817*t - 7*t**2.
-t*(t - 3)*(t + 1)
Let t = 254 - 113. Suppose t*w = 132*w + 18. Solve -6/5*j**3 + 2*j**4 + 8/5*j - w*j**2 - 2/5*j**5 + 0 = 0.
-1, 0, 1, 4
Factor 2/21*l**2 - 956/21*l + 114242/21.
2*(l - 239)**2/21
Let c be (-1)/(-1 - -2)*-3. Let g(o) = -5*o**2 - 9*o + 11. Let u(n) = 10*n + 6*n**2 + 10 - 57 + 13 + 10 + 12. Let a(f) = c*u(f) + 4*g(f). Factor a(q).
-2*(q - 1)*(q + 4)
Let q(b) be the third derivative of b**6/80 + b**5/10 - b**4 - 16*b**3 + 105*b**2 + 7. Determine s so that q(s) = 0.
-4, 4
Suppose 957*a - 24 = 949*a. Let z(y) be the first derivative of 1/3*y**a - 11 - 6*y**2 + 36*y. Factor z(j).
(j - 6)**2
Let f(o) be the second derivative of -3*o**5/20 + 145*o**4/4 + 73*o**3 + 2*o - 2048. Solve f(s) = 0.
-1, 0, 146
Let g(w) be the first derivative of 0*w**3 + 9/4*w**4 + 3/5*w**5 + 0*w - 6*w**2 + 78. Factor g(f).
3*f*(f - 1)*(f + 2)**2
Let h(i) be the first derivative of -i**6/1080 - 11*i**5/360 - i**4/4 + 32*i**3/3 + 183. Let p(d) be the third derivative of h(d). Factor p(s).
-(s + 2)*(s + 9)/3
Let f(u) = -62*u - 372. Let b be 12/(-15) + (-52)/10. Let o be f(b). Let -10/9*p + 4/3*p**2 + o - 2/9*p**3 = 0. What is p?
0, 1, 5
Let k be -3 + (-12)/4 + (35 - 3) + -24. Factor 0 + 3/8*w**k - 33/8*w.
3*w*(w - 11)/8
Suppose 3*x - 18 = -4*h, 12 + 7 = 5*h + 2*x. Suppose 0 = -3*v - h*p, 0 = -12*p + 8*p - 8. Factor -8/5*t - 2/5*t**v + 2.
-2*(t - 1)*(t + 5)/5
Let x be ((-168)/(-20) + 0)/(2/10). Let w = -36 + x. Solve 483*c - 483*c + 2*c**5 + 2*c**4 - 10*c**3 + w*c**2 = 0 for c.
-3, 0, 1
Let z be (-6)/7 + (-310)/28*194/(-1940). Let c(b) be the second derivative of -z*b**4 - 54*b**2 + 0 - 6*b**3 + 25*b. Factor c(g).
-3*(g + 6)**2
Let x(r) be the first derivative of 32*r**6/15 - 8*r**5 - 29*r**4 - 70*r**3/3 - 8*r**2 + 110*r - 88. Let i(m) be the first derivative of x(m). Solve i(q) = 0.
-1, -1/4, 4
Let r = 593/45 - 578/45. Find x, given that 2*x - r*x**2 + 0 = 0.
0, 6
Let d(h) = h**4 + 31*h**3 + 127*h**2 + 125*h + 48. Let v(p) = 2*p**4 + 66*p**3 + 256*p**2 + 252*p + 95. Let g(l) = -7*d(l) + 4*v(l). Factor g(j).
(j + 1)**3*(j + 44)
Let q(o) be the second derivative of 7/100*o**5 + 1/50*o**6 + 0*o**2 - 7/30*o**3 - 45*o + 0 - 1/20*o**4. Find a such that q(a) = 0.
-7/3, -1, 0, 1
Determine t, given that 3/8*t**4 - 21/8*t - 59/8*t**2 + 0 + 13/8*t**3 = 0.
-7, -1/3, 0, 3
Let f(w) = -25*w**3 + 5120*w**2 - 9*w - 5511. Let m(q) = 3*q**3 - 640*q**2 + q + 686. Let t(z) = -6*f(z) - 51*m(z). Factor t(o).
-3*(o - 640)*(o - 1)*(o + 1)
Let h(n) be the third derivative of n**5/300 - 69*n**4/40 - 104*n**3/15 + 2678*n**2. Factor h(f).
(f - 208)*(f + 1)/5
Let k(z) = 31*z**2 + 726*z - 6253. Let c(u) = 5*u**2 + 121*u - 1044. Let q(a) = -74*c(a) + 12*k(a). Let q(p) = 0. What is p?
10, 111
Let d(p) be the third derivative of -p**7/420 - 9*p**6/80 + 49*p**5/120 + 181*p**4/16 - 105*p**3 + 23*p**2 - 2*p - 3. Factor d(t).
-(t - 3)**2*(t + 5)*(t + 28)/2
Let n(v) be the second derivative of v**6/165 + 41*v**5/55 + 914*v**4/33 + 1898*v**3/11 - 7605*v**2/11 - 5*v - 20. Let n(r) = 0. What is r?
-39, -5, 1
Let h = 9322 + -9320. Let a(q) be the third derivative of -3*q**h + 1/42*q**4 + 0*q**3 + 0 - 1/210*q**5 + 0*q. Suppose a(p) = 0. Calculate p.
0, 2
Suppose 5210*m**2 + 120/7 + 350*m**3 - 4192/7*m = 0. What is m?
-15, 2/35
Let z = -4358/9 + 8719/18. Let b(r) be the first derivative of z*r**3 + 27 + 0*r + 1/6*r**2 + 1/24*r**4. Let b(a) = 0. What is a?
-2, -1, 0
Let c be 6/((1960/(-14))/14) - 59/(-40). Let s(d) be the first derivative of 3/8*d**4 - c*d**2 + 1/6*d**3 + 1/24*d**6 - 1/4*d**5 - 26 + 3/4*d. Solve s(k) = 0.
-1, 1, 3
Let z(y) be the second derivative of -y**5/50 + 4*y**3/15 - 8623*y. Let z(q) = 0. Calculate q.
-2, 0, 2
Let r = 204 + -216. Let s(z) = -z**3 - z**2 - z - 1. Let l(j) = -2*j**3 - 14*j**2 + 21*j + 33. Let n(c) = r*s(c) + 4*l(c). Factor n(m).
4*(m - 6)**2*(m + 1)
Factor -255*k + 43*k - 28 - 16*k - 94*k + 4 + 27*k**2.
(k - 12)*(27*k + 2)
Suppose -9*q - 90 = -11*q. Suppose 296*r = 301*r - q. Factor 2*h**3 - 31*h**3 - 7*h**3 - r*h**4 - 4*h**5 - 28*h**2 - 11*h**4 - 8*h.
-4*h*(h + 1)**3*(h + 2)
Let o = 241677 + -241674. Let f(i) = 4*i**2 - i + 1. Let p be f(1). Find q, given that -2*q**o - 1/2*q**p - 10*q + 9*q**2 + 7/2 = 0.
-7, 1
Let v(b) be the second derivative of b**5/20 - 5*b**4/6 + 23*b**3/6 - 7*b**2 - 3*b - 108. Determine p, given that v(p) = 0.
1, 2, 7
Suppose -4*r = 12*a - 7*a - 10, 4*a - 8 = -4*r. Let n(w) be the first derivative of -23/6*w**3 - 5/2*w**4 - 1/4*w**a - 11 + w. Factor n(g).
-(g + 1)*(4*g - 1)*(5*g + 2)/2
Suppose 192 = 4*p - 4*o, 0 = 4*p + 3*o - 6*o - 197. Let k = -51 + p. Let j**4 - 3*j**2 + j**k + 0*j**4 - j**3 = 0. What is j?
-1, 0, 2
Let m(g) be the second derivative of 0*g**2 - 72*g - 5/21*g**7 - 58/15*g**6 + 0*g**3 + 0 + 12*g**4 - 78/5*g**5. Let m(q) = 0. What is q?
-6, 0, 2/5
Let p = 9946337/4081 - 562462/231. Let c = 2/583 + p. 