u such that -u**4 + 4*u - 2*u + f*u**3 - 24*u**3 + 1 = 0.
-1, 1
Factor -30 + 197/2*a - 26*a**2 + 3/2*a**3.
(a - 12)*(a - 5)*(3*a - 1)/2
Let i be 201/(-2) + 2/(-4). Let b = 15 - i. Factor -4*v**3 - 117*v**4 + 8*v**2 - b*v**4 + 229*v**4.
-4*v**2*(v - 1)*(v + 2)
Let h(u) = -1185*u - 20140. Let v be h(-17). Determine z, given that 12/5*z - 3/5*z**v + 0 - 24/5*z**2 + 6/5*z**4 + 9/5*z**3 = 0.
-2, 0, 1, 2
Suppose -39*t - 189*t - 91*t = 107*t. Factor -2/3*o**2 + t - 10*o.
-2*o*(o + 15)/3
Factor -9*a + 3*a**2 + 241 + 150 - 403.
3*(a - 4)*(a + 1)
Factor -28/11*w + 48/11 + 2/11*w**2.
2*(w - 12)*(w - 2)/11
Let u be 7 - (2/(-4))/(22/1848). Suppose -29*z + 67 = -u. Let 2/3*j**4 + z*j**3 + 0 + 16/3*j + 8*j**2 = 0. What is j?
-2, 0
Let g(t) = 12*t + 17. Let x be g(-3). Let v be x/(-2) - -8*(-27)/36. Factor k**2 + v + 15/2*k.
(k + 7)*(2*k + 1)/2
Let r be (-30)/40 - (-95)/20. Let v(q) be the first derivative of -1/19*q**2 + 0*q**3 + 9 + 1/38*q**r + 0*q. Factor v(u).
2*u*(u - 1)*(u + 1)/19
Let p(l) be the first derivative of 5*l**4/4 - 35*l**3 + 140*l**2 - 180*l + 203. Factor p(x).
5*(x - 18)*(x - 2)*(x - 1)
Suppose -2*x - 275*v + 278*v + 54 = 0, 62 = 2*x - v. Let o(r) be the first derivative of 2/3*r + 3/5*r**2 - x - 1/30*r**4 + 2/15*r**3. Factor o(g).
-2*(g - 5)*(g + 1)**2/15
Suppose -17*o + 5543 = 5475. Let z(q) be the first derivative of 1/2*q**4 - 8/3*q**3 + 20 + 0*q + o*q**2. Factor z(f).
2*f*(f - 2)**2
Let u(o) be the first derivative of o**4/12 + 761*o**3/9 - 1531*o**2/2 + 2301*o + 12489. Factor u(p).
(p - 3)**2*(p + 767)/3
Determine f, given that -19/2*f**2 + 3*f**4 + 42*f + 32 + 1/4*f**5 - 67/4*f**3 = 0.
-16, -1, 2, 4
Let v(s) be the first derivative of 0*s**2 - 155 + 2/25*s**5 + 2/5*s**3 + 0*s - 2/5*s**4. Solve v(c) = 0 for c.
0, 1, 3
Suppose 0 = 1143*j - 1156*j. Let i(b) be the second derivative of -3*b + 9/4*b**4 + 3*b**3 + 3/2*b**2 + j. Factor i(l).
3*(3*l + 1)**2
Let p(k) be the second derivative of k**4/8 - 601*k**3/12 + 50*k**2 - 1794*k. Factor p(z).
(z - 200)*(3*z - 1)/2
Let g(a) be the first derivative of a**4 - 28*a**3 - 92*a**2 - 92*a + 55. Let v(i) = 4*i**3 - 84*i**2 - 185*i - 92. Let q(m) = 5*g(m) - 4*v(m). Factor q(d).
4*(d - 23)*(d + 1)**2
Factor 72*v - 28*v**3 + 146*v**3 - 8*v**4 - 31*v**3 - 23*v**3 + 140*v**2 + 4*v**4.
-4*v*(v - 18)*(v + 1)**2
Let c = 370 + -361. Factor -62*d**4 + 45*d**3 + 36*d**2 + c*d**5 + 12*d**4 - 4*d**5 - 36*d**2.
5*d**3*(d - 9)*(d - 1)
Let z(g) be the second derivative of -g**5/20 + 4*g**4/3 - 34*g**3/3 + 40*g**2 - 1346*g. Factor z(b).
-(b - 10)*(b - 4)*(b - 2)
Let h(i) be the second derivative of i**6/345 + i**5/230 - 2*i**4/69 - 4*i**3/69 - 2778*i. Factor h(u).
2*u*(u - 2)*(u + 1)*(u + 2)/23
Factor 13/5*g**3 - 13/5*g + 1/5 - 1/5*g**2.
(g - 1)*(g + 1)*(13*g - 1)/5
Let b(k) = 2*k**2 - k + 38. Let q(c) = -3*c**2 - 22*c - 80. Let r(v) = -b(v) - q(v). Solve r(t) = 0 for t.
-21, -2
Solve -255*d**4 + 249*d**4 + 3990*d**5 + 104*d**2 - 3992*d**5 + 44*d**3 - 320 - 144*d = 0.
-5, -2, 2, 4
Let n(x) be the first derivative of -x**6/120 + 3*x**5/20 - 9*x**4/8 - 14*x**3 + 3. Let p(b) be the third derivative of n(b). What is w in p(w) = 0?
3
Let u(p) be the first derivative of -p**6 - 76*p**5/5 - 113*p**4/2 + 28*p**3 + 187. Find l, given that u(l) = 0.
-7, -6, 0, 1/3
Suppose -4/3*l**4 + 50/3*l**3 + 22/3*l + 0 - 68/3*l**2 = 0. What is l?
0, 1/2, 1, 11
Let k(j) = -j**2 - 34*j + 109. Let r be k(-37). Let c(f) = -f**2 - f - 4. Let g(z) = -21 - 5*z**2 - 4*z - z + z. Let w(x) = r*g(x) + 11*c(x). Factor w(q).
-(q + 1)*(q + 2)
Let c(b) be the first derivative of -49*b**6/3 + 616*b**5 + 12500*b**4 + 183040*b**3/3 + 46320*b**2 + 12672*b - 1713. Find s, given that c(s) = 0.
-6, -2/7, 44
Let t(y) be the second derivative of y**6/120 + y**5/10 - 2*y**4/3 + 109*y**2/2 - 32*y + 3. Let g(d) be the first derivative of t(d). Factor g(s).
s*(s - 2)*(s + 8)
Let x = 146 - 143. Factor -20*o**x + 8*o**4 - 29*o**4 + 19*o**4.
-2*o**3*(o + 10)
Suppose 22 = 5*z + j + 62, -3*z = -4*j + 47. Let w(x) = x**2 + 7*x - 14. Let m be w(z). Let t**2 - 8*t - t**3 - m*t**2 - t**2 - 4 - t**2 = 0. Calculate t.
-2, -1
Let c = -3 + 6. Suppose -5*t - 22 = 2*s, -34*t + 39*t = -18*s - 198. Factor 5*y**c + t + 5/2*y**4 + 5/2*y**2 + 0*y.
5*y**2*(y + 1)**2/2
Let v(y) be the third derivative of -13/6*y**4 - 8/15*y**5 + 0*y - 4*y**3 + 74*y**2 + 0 - 1/30*y**6. Factor v(g).
-4*(g + 1)**2*(g + 6)
Let u(v) be the first derivative of -2*v**5/55 - 38*v**4/11 - 2888*v**3/33 - 1266. Determine c, given that u(c) = 0.
-38, 0
Let s be 3 + 543/12 - 3/(-4). Factor -21*y - y**3 + s*y + 27 - 29*y + 9*y**2 - 26*y.
-(y - 3)**3
Suppose 0 = -18*t - 70 + 32 + 74. Let c = -4 - -8. Factor -1/3*p**c + 1/3*p**t + 0 + 0*p - 1/3*p**5 + 1/3*p**3.
-p**2*(p - 1)*(p + 1)**2/3
Let h(z) be the second derivative of -26/9*z**3 + 4*z - 14/3*z**2 + 37 + 2/9*z**4. Suppose h(r) = 0. Calculate r.
-1/2, 7
Let x be (6/(-12))/((-5)/5). Factor -3/5*y**2 - 1/10*y**3 - x*y + 0.
-y*(y + 1)*(y + 5)/10
Let t(j) be the second derivative of 1 - 1/3*j**4 + 0*j**2 + j - 14/3*j**3. Let t(h) = 0. What is h?
-7, 0
Let t(j) be the third derivative of -14/75*j**5 + 0 + 4/15*j**4 + 1/25*j**6 + 93*j**2 + 0*j**3 - 1/840*j**8 + 0*j + 1/525*j**7. Let t(r) = 0. Calculate r.
-4, 0, 1, 2
Let o = -223 - -243. Factor 39 + 20*b**2 + 53 + 204*b + 20*b**4 - o - 92*b**3.
4*(b - 3)**2*(b + 1)*(5*b + 2)
Determine u, given that 6/5*u**3 + 26/5*u**2 - 2/5*u**5 - 4*u - 2*u**4 + 0 = 0.
-5, -2, 0, 1
Factor 790*x - 14*x**3 + 2*x**3 - 69*x - 113*x + 656 + 116*x**2.
-4*(x + 2)**2*(3*x - 41)
Let y(q) be the third derivative of -1/6*q**4 + q**2 + 1/30*q**6 - 5/3*q**3 + 4/25*q**5 + 0 + 0*q + 1/525*q**7. What is v in y(v) = 0?
-5, -1, 1
Let b(d) be the first derivative of d**9/3024 - d**7/280 + d**6/180 - d**3 + 7*d + 68. Let s(j) be the third derivative of b(j). Determine q so that s(q) = 0.
-2, 0, 1
Let d(x) = x**2 + 7*x - 147. Let g be d(-26). Let j = g - 347. Suppose -3/4*y**2 + 1/4*y**4 + 0*y**3 + j + 1/2*y = 0. Calculate y.
-2, 0, 1
Suppose -5811 = 37*m - 50*m. Let b = m - 447. Factor 0 + b*t + 2/7*t**2.
2*t**2/7
Let o(d) = -20*d**2 + 712*d - 7220. Let r(k) = -4*k**2 + 142*k - 1444. Let b = 185 - 190. Let v(i) = b*o(i) + 24*r(i). Factor v(n).
4*(n - 19)**2
Let c(x) = -2*x**2 - 6*x + 1. Let q(f) = f**2 - 34*f + 275. Let z(y) = -3*c(y) - 3*q(y). Suppose z(a) = 0. What is a?
-46, 6
Suppose 1821 = -200*i + 6221. Let q(s) be the first derivative of 16/5*s**5 - i*s**2 - 15 - 8*s - 16*s**3 + s**4. Suppose q(j) = 0. Calculate j.
-1, -1/4, 2
Let v(j) be the first derivative of j**7/336 - j**6/80 + j**4/24 + 191*j - 219. Let h(a) be the first derivative of v(a). Suppose h(l) = 0. Calculate l.
-1, 0, 2
Factor -117 + 57*w + 3/4*w**2.
3*(w - 2)*(w + 78)/4
Factor 7*t**2 + 8*t**2 - 144445 - 11*t**2 + 463666 + 3272*t + 349903.
4*(t + 409)**2
Let s = 24767 - 74297/3. Let l(j) be the second derivative of 2/3*j**3 + 1/45*j**6 - 5/18*j**4 + s*j**2 - 1/20*j**5 + 0 + 41*j. Solve l(w) = 0 for w.
-2, -1/2, 2
Let w = 5040 - 5038. Let s(h) be the first derivative of -3 - 1/12*h**3 + 1/4*h**w + 0*h. Factor s(l).
-l*(l - 2)/4
What is m in -3/5*m**3 + 30*m**2 - 1476/5*m + 4104/5 = 0?
6, 38
Find h such that -5*h**4 + 727 + 3384*h + 195*h**2 + 10*h**3 - 4124*h - 27 = 0.
-7, 2, 5
Let o(l) be the third derivative of l**7/15 + 31*l**6/50 + 7*l**5/6 - 16*l**4/5 + 12*l**3/5 + 6*l**2 - 136. Find b, given that o(b) = 0.
-3, 2/7, 2/5
Factor -41472/7 + 96/7*u**3 - 2/7*u**4 - 1728/7*u**2 + 13824/7*u.
-2*(u - 12)**4/7
Let q(b) be the first derivative of -6*b**5/25 + 21*b**4/5 - 86*b**3/5 + 18*b**2 - 886. Find k, given that q(k) = 0.
0, 1, 3, 10
Let b(o) = o**4 + 2*o**3 + o + 1. Let v(i) = 5*i**4 - 2672*i**3 + 607356*i**2 - 4731166*i + 9377474. Let h(s) = 2*b(s) - v(s). Factor h(l).
-3*(l - 442)**2*(l - 4)**2
Solve -21/4 - 95/8*m - 9/8*m**3 - 63/8*m**2 + 1/8*m**4 = 0.
-3, -1, 14
Factor -1/4*y**2 - 68 - 69/2*y.
-(y + 2)*(y + 136)/4
Let a(c) = -3*c**3 + 621*c**2 - 6645*c + 16875. Let z(p) = 2*p**3 + p**2 + 5*p. Let w(y) = a(y) + 4*z(y). Find t such that w(t) = 0.
-135, 5
Factor 12*m**3 - 548/3*m**2 - 152*m + 128/3.
4*(m - 16)*(m + 1)*(9*m - 2)/3
Let v(t) = -t + 8. Let g be v(5). Let q(p) = -48*p - 28. Let a be q(-1). Find b, given that 16*b**2 - 5*b + 2*b**3 - 56*b**2 + 10 + 13*b**g + a*b = 0