w**2 + 4/7*w**5 + 128/7 + z*w**3 - 36/7*w**4.
4*(w - 4)*(w - 2)**3*(w + 1)/7
Factor 7*m**3 - 105/2 - 1/6*m**4 + 89*m - 130/3*m**2.
-(m - 35)*(m - 3)**2*(m - 1)/6
Let f(k) be the second derivative of k**6/30 - 3*k**5/20 - 63*k**4/4 - 833*k**3/6 - 12*k - 11. Factor f(w).
w*(w - 17)*(w + 7)**2
Let n(h) = -13*h**3 - 809*h**2 - 26894*h - 300763. Let b(a) = -14*a**3 - 810*a**2 - 26886*a - 300763. Let v(s) = 5*b(s) - 6*n(s). Suppose v(j) = 0. What is j?
-67/2
Let b(s) = 19*s**2 + 3*s. Let q(k) = 4*k**2. Let m(z) = z + 4. Let n be m(-8). Suppose -7*f + 208 - 68 = 0. Let u(w) = f*q(w) + n*b(w). Factor u(c).
4*c*(c - 3)
Suppose -8 = -63*h + 67*h. Let z be h - (5 - (40/12 + 4)). Determine u, given that -z*u**2 + 1/3 + 0*u = 0.
-1, 1
Suppose 5*a - 4*c - 66 = -2*c, 3*a = -c + 44. Determine r so that 0*r**3 + a - 319*r - 9*r**3 - r**4 - 13*r**2 + 328*r = 0.
-7, -2, -1, 1
Let k = -10 + 21. Let c = 410624 - 410615. Solve k*u + 19/9*u**2 + c + 1/9*u**3 = 0.
-9, -1
Let m = 125/4143 - -2/15191. Let f(h) be the second derivative of 0 + 6/11*h**2 - 2*h - 1/11*h**4 + 1/110*h**5 - m*h**3. Let f(r) = 0. What is r?
-1, 1, 6
Let z = 100307 + -100307. Determine x, given that -1/3*x**2 + z + 3*x = 0.
0, 9
Let r(z) = 95*z + 98. Let q be r(-7). Let l = q + 567. Solve -9/5*i - 6/5*i**3 + 3*i**2 + l = 0 for i.
0, 1, 3/2
Let a = 2629 + -2631. Suppose -2*c + 6 = -5*c. Let q(t) = -t**4 - t**3. Let s(u) = -u**3 + u**2 + 2*u. Let b(d) = a*q(d) + c*s(d). What is l in b(l) = 0?
-2, -1, 0, 1
Let j(l) be the first derivative of 145/8*l**4 - 65/6*l**3 - 5/12*l**6 - 35*l**2 + 67 + 50*l - 7/2*l**5. What is d in j(d) = 0?
-10, -1, 1, 2
Let x(p) = -33*p - 328. Let f be x(-10). Let o(u) be the second derivative of -2/5*u**5 - 1/15*u**6 + 4/3*u**3 + 0 + 1/6*u**4 + 13*u + 0*u**f. Factor o(d).
-2*d*(d - 1)*(d + 1)*(d + 4)
Let f(v) = 2*v**4 + 136*v**3 + 595*v**2 - 7225*v - 6. Let k(d) = 15*d**4 + 1085*d**3 + 4760*d**2 - 57800*d - 50. Let g(c) = 25*f(c) - 3*k(c). Factor g(y).
5*y*(y - 5)*(y + 17)**2
Let t(f) be the first derivative of -f**4/4 - 11*f**3/2 - 15*f**2 - 30*f + 247. Let c(p) be the first derivative of t(p). Factor c(v).
-3*(v + 1)*(v + 10)
Let c = 268 - 256. Suppose c = 5*v - 18. What is k in -32 - v*k**2 - 1/2*k**3 - 24*k = 0?
-4
Suppose -5*u - 36 + 104 = 3*c, 3*u = 6*c - 84. Let 0*z + 2/5*z**u + 0 - 4/5*z**3 + 2/5*z**2 = 0. Calculate z.
0, 1
Let l(k) be the second derivative of -k**7/126 + 4*k**6/45 - k**5/3 + 4*k**4/9 - 61*k. Factor l(i).
-i**2*(i - 4)*(i - 2)**2/3
Let u(k) be the second derivative of -k**4/66 + 14*k**3/33 - 45*k**2/11 + 91*k. Factor u(b).
-2*(b - 9)*(b - 5)/11
Let h(b) be the second derivative of 1/6*b**4 + 1/3*b**3 - 1/10*b**5 + 38 - b**2 - b. Determine d, given that h(d) = 0.
-1, 1
Let f(a) = 265*a**2 + 157975*a - 156120. Let o(d) = 20*d**2 + 12152*d - 12013. Let v(i) = 3*f(i) - 40*o(i). Factor v(h).
-5*(h - 1)*(h + 2432)
Let s(u) be the second derivative of 3/80*u**5 - 11/8*u**3 - 15 - 1/4*u**4 - 9/4*u**2 - u. Suppose s(c) = 0. What is c?
-1, 6
Let q = -39809 + 60151401/1511. Let s = q - -3004/13599. Factor 0 - 2/3*c**3 - 2/9*c**4 + s*c**2 + 2/3*c.
-2*c*(c - 1)*(c + 1)*(c + 3)/9
Let f = 118 + -70. Factor 754*r**2 + 23 - f*r - 758*r**2 - 67.
-4*(r + 1)*(r + 11)
Let k(m) be the second derivative of -60*m**3 - 3240*m**2 - 131*m + 0 - 5/12*m**4. Let k(h) = 0. Calculate h.
-36
Let i(b) = -26*b**2 + 121*b + 45. Let t(j) = 62*j**2 - 362*j - 135. Let o(s) = 17*i(s) + 6*t(s). Factor o(g).
-5*(g + 1)*(14*g + 9)
Let t(v) be the first derivative of -8*v + 56 + 4/3*v**3 + 2*v**2. Find x such that t(x) = 0.
-2, 1
Let n(o) = -o**3 - 20*o**2 - 37*o - 16. Let k be n(-18). Factor -2 + 3*y - k*y**3 + y**3 - y - y - y**4 + 3*y**2.
-(y - 1)**2*(y + 1)*(y + 2)
Let z(a) be the second derivative of 3*a - 1/144*a**4 + 0*a**2 + 1/12*a**3 - 1/240*a**5 + 17. Let z(o) = 0. Calculate o.
-3, 0, 2
Let t = 49130 + -49126. What is v in 0 + 26/11*v**3 + 32/11*v**2 + 8/11*v + 6/11*v**t = 0?
-2, -1/3, 0
Let h(i) = 4*i**2 - 830*i + 171393. Let b(r) = -3*r**2 + 2*r + 3. Let w(n) = 4*b(n) + 4*h(n). Let w(m) = 0. Calculate m.
414
Let z(y) be the first derivative of -2*y**3/27 - 2*y**2/3 - 2*y - 1047. Determine h so that z(h) = 0.
-3
Suppose 1172*t = 1196*t - 120. Let f(b) be the second derivative of 9*b + 2/21*b**2 + 1/63*b**3 + 0 - 1/63*b**4 - 1/210*b**t. Factor f(k).
-2*(k - 1)*(k + 1)*(k + 2)/21
Let l be (-2 - 0)*11075/50. Let i = l + 2227/5. Factor 0 - 18/5*w**2 - 2/5*w**4 - i*w**3 - 8/5*w.
-2*w*(w + 1)**2*(w + 4)/5
Let o(d) be the second derivative of d**7/147 - 59*d**6/105 - 6*d**5/7 - 6753*d. Factor o(w).
2*w**3*(w - 60)*(w + 1)/7
Let k(t) be the first derivative of -t**6/33 - 28*t**5/55 + 100*t**4/11 - 340*t**3/33 - 199*t**2/11 + 368*t/11 + 7505. Let k(y) = 0. Calculate y.
-23, -1, 1, 8
Let w(o) be the first derivative of -o**3/4 - 171*o**2/2 - 681*o/4 + 1128. Factor w(v).
-3*(v + 1)*(v + 227)/4
Let z(w) be the second derivative of 50*w**2 - 5/12*w**4 - 1 + 95/6*w**3 - 13*w. Find k, given that z(k) = 0.
-1, 20
Let s(m) = m**3 - 2*m + 2. Let v be s(1). Let a be 1/v + 1 + 38 + -38. Factor 4/19*f**a + 6/19 + 14/19*f.
2*(f + 3)*(2*f + 1)/19
Factor -6/5*y**5 + 0 + 14/5*y**4 + 4/5*y - 6/5*y**3 - 6/5*y**2.
-2*y*(y - 1)**3*(3*y + 2)/5
Let g(o) be the third derivative of 0*o - 3*o**2 - 1/45*o**5 + 9 + 14/9*o**3 + 1/3*o**4. Factor g(n).
-4*(n - 7)*(n + 1)/3
Suppose -2*k + 6 = k. What is z in 6*z - 2*z - z**k + 143 - 131 = 0?
-2, 6
Let t = 333640/3 - 111206. Factor 2/9*g**2 + 68/9*g + t.
2*(g + 1)*(g + 33)/9
Let u be (-40)/110*(-65)/130. Determine x so that 4/11*x**2 + 0*x - u*x**3 + 0 + 2/11*x**5 - 4/11*x**4 = 0.
-1, 0, 1, 2
Let i be ((-15)/10 - 0)*(-294)/735. Find l such that -i*l**5 + 24/5*l**4 + 6*l**3 - 27/5*l + 0 - 24/5*l**2 = 0.
-1, 0, 1, 9
Let a(j) = 120*j - 94. Let g be a(-3). Let t = 4088/9 + g. Determine z so that -16/9*z + 8/9 + 2/9*z**5 + t*z**2 - 10/9*z**4 + 14/9*z**3 = 0.
-1, 1, 2
Let x(d) be the first derivative of -36*d**5/55 - 9*d**4/22 + 52*d**3/33 + 7*d**2/11 - 20*d/11 + 1140. Find f, given that x(f) = 0.
-1, 2/3, 5/6
Let j(s) be the first derivative of -4*s - 12*s**2 + 25 + 64/3*s**3. Factor j(m).
4*(2*m - 1)*(8*m + 1)
Suppose 4*o - 6*o = 7*o. Suppose -12*x - 23 + 47 = o. Factor -3/2*q**3 + 0*q + 0 - 21/2*q**x.
-3*q**2*(q + 7)/2
Solve 395/9*w**3 - 301/9*w**2 - 593/3*w + 11*w**4 + 2 = 0.
-3, 1/99, 2
Let f(w) be the third derivative of -1/15*w**5 + 0*w**3 + 0*w - 1/120*w**6 + 5/24*w**4 - 17*w**2 + 0. Let f(y) = 0. Calculate y.
-5, 0, 1
Let r be ((-2)/(-14) + 0)*129906/74232. Find q such that -r*q**2 - 9 - 3*q = 0.
-6
Let r(p) be the third derivative of p**6/84 + 29*p**5/70 + 7*p**4/2 + 104*p**3/21 - 55*p**2 + 2*p. Factor r(i).
2*(i + 4)*(i + 13)*(5*i + 2)/7
Suppose -6*y + 106 = 94. Suppose 24*h**2 - 45*h**2 - 16 + 23*h**y + 14*h = 0. Calculate h.
-8, 1
Let i = -86 + 46. Let r = i - -42. What is v in 37*v**2 + 3*v + 38*v**2 - 72*v**r = 0?
-1, 0
Let w(u) be the first derivative of 4*u**3/21 - 494*u**2/7 + 206. Determine f so that w(f) = 0.
0, 247
Let h be 1 + 0 + 15/5 - 1372. Let u be (-6 + h/(-210))*(-28)/(-2). Factor 0 + 28/5*f**3 + 8/5*f - u*f**2.
4*f*(f - 1)*(7*f - 2)/5
Suppose 65*q = 61*q - 5*j + 31, 4*q = 3*j + 7. Suppose 12 + 600/7*v + 1677/7*v**3 + 105*v**q + 75/7*v**5 + 219*v**2 = 0. Calculate v.
-7, -1, -2/5
Let g = -7586 - -7591. Let p(t) be the second derivative of -1/75*t**6 + 0 + 0*t**2 - 8*t - 1/15*t**3 + 1/50*t**g + 1/30*t**4. Factor p(c).
-2*c*(c - 1)**2*(c + 1)/5
Let s be (-386)/(-4) - (-102)/(-204). Factor s - 215*v**2 - 247 + 53 + 147 + 166 - 5*v**3 + 5*v.
-5*(v - 1)*(v + 1)*(v + 43)
Suppose 3*v + 3*l - 19272 = 0, -25710 = 2*v - 6*v + 3*l. Let -6*c**5 - v*c**2 + 6432*c**2 - 9*c**4 + 9*c**3 + 0*c**3 = 0. Calculate c.
-2, -1/2, 0, 1
Solve -9*k**2 + 21 + 50*k + 4*k**5 - 3*k**4 + 29*k**2 + 4 - 16*k**2 - 38*k**3 - 10*k**4 = 0.
-1, 5/4, 5
Let k(z) be the third derivative of 3*z**5/5 - 389*z**4/6 + 172*z**3/3 - 715*z**2. Factor k(x).
4*(x - 43)*(9*x - 2)
Let y(k) be the third derivative of -k**7/70 + 123*k**6/5 - 120539*k**5/10 - 60639*k**4 - 243049*k**3/2 - 2*k**2 - 64*k + 8. Determine q, given that y(q) = 0.
-1, 493
Suppose -2*r = 3*m - 6*r + 6, 2*r = 5*m + 10. Let a be (1/m)/((-1)/4). Factor -4 + a*p + 4*p**4 + 3 - 3*p**4 - 2*p**3.
(p - 1)**3*(p + 1)
Let x(h) be th