 + 22*q**6/15 + 37*q**5/10 - 34*q**4/3 - 164*q**3/3 - 80*q**2 + 3*q - 341. Suppose m(u) = 0. What is u?
-20, -2, -1, 2
Determine f so that -37 + 2*f**3 + 156*f + 0*f**3 - 6 - 29 - 32*f**2 - 54*f = 0.
1, 3, 12
Let q(a) be the first derivative of 32*a - 72*a**2 + 81*a**4 + 52*a**5 - 472/3*a**3 - 28. Find c, given that q(c) = 0.
-2, -2/5, 2/13, 1
Let h(x) be the first derivative of -84 - 1/12*x**3 - 5/8*x**2 - x. Factor h(c).
-(c + 1)*(c + 4)/4
Let y(u) = 35*u**3 + 24*u**2 - 23*u + 8. Let v(f) = 37*f**3 + 33*f**2 - 22*f + 7. Let b(d) = 4*v(d) - 5*y(d). Factor b(j).
-3*(j - 1)*(j + 1)*(9*j - 4)
Let d(l) = -14 + 23 - 4*l + 4*l**2 - 9. Let x(t) = -t**2 + t. Let q be 3 + (-2 - 1 - 2) - 3. Let a(r) = q*x(r) - d(r). Solve a(s) = 0.
0, 1
Let p(l) be the third derivative of -l**8/20160 - l**7/1512 + l**6/360 - 21*l**4/4 - 47*l**2 - 1. Let u(o) be the second derivative of p(o). Factor u(t).
-t*(t - 1)*(t + 6)/3
Let p be -85 + 87 + 2 + -2. Determine f, given that -2/7*f**p - 2/7*f**3 + 0 - 2/21*f**4 - 2/21*f = 0.
-1, 0
Let -15*a**5 + 874*a**2 - 34*a**2 + 325*a**4 + 209*a + 2129*a - 1920*a**3 - 6000 + 7184*a - 322*a = 0. Calculate a.
-2, 2/3, 3, 10
Let d(n) be the first derivative of 0*n**2 - 1/40*n**5 - 10 + 1/6*n**3 - 5*n - 1/24*n**4. Let t(a) be the first derivative of d(a). Factor t(g).
-g*(g - 1)*(g + 2)/2
Let d(t) be the first derivative of t**5/10 - 39*t**4/2 + 2882*t**3/3 + 6240*t**2 + 12800*t - 6297. Determine o, given that d(o) = 0.
-2, 80
Let p(i) = i**3 + 14*i**2 + 19*i - 8. Let a be p(-2). Let v(j) be the first derivative of 0*j**a - 2/69*j**3 + 3 + 0*j. Find d, given that v(d) = 0.
0
Suppose 0 = -3*f + 3188 - 3188. Solve -3/7*s - 6/7*s**2 + f*s**3 + 0 + 3/7*s**5 + 6/7*s**4 = 0 for s.
-1, 0, 1
Let f(y) be the second derivative of -y**5/4 - 555*y**4/4 - 1105*y**3/2 - 1655*y**2/2 + 9164*y. What is t in f(t) = 0?
-331, -1
Let k = -148 + 256. Let g = k - 104. Suppose 4/9*y**5 - 4/9*y**3 + 0*y**2 + 0 + 0*y + 0*y**g = 0. Calculate y.
-1, 0, 1
Let x(z) = 2*z**3 - z - z - z**3 - 12*z**2 - 3*z + 65. Let q be x(12). Factor 0 - 5/3*r**2 - q*r.
-5*r*(r + 3)/3
Suppose 2362*y - 13 = 2363*y - d, 0 = y + 4*d - 52. Let 5/4*c**3 + y*c - 1/4*c**4 + 0 - c**2 = 0. What is c?
0, 1, 4
Factor -1/5*i**2 - 86 - 91/5*i.
-(i + 5)*(i + 86)/5
Suppose -9*v = -41 + 14. Suppose j + 2*f = -3*j + 26, j + 11 = v*f. Factor -o**j - o**3 + 4*o - 2*o**3 + 0*o**4.
-o*(o - 1)*(o + 2)**2
Let b(j) = 17*j**3 - 428*j**2 + 1101*j - 273. Let s(i) = -135*i**3 + 3425*i**2 - 8780*i + 2185. Let p(c) = -25*b(c) - 3*s(c). Let p(m) = 0. What is m?
1/4, 3, 18
Let t be (4 + 38)*(-28)/(-896)*4. Find c, given that 5/4*c**3 - 2 + 23/4*c - t*c**2 + 1/4*c**4 = 0.
-8, 1
Let x(o) = -21*o + 50. Suppose 54*j - 58*j = -8. Let r be x(j). Solve -23/5*b + r*b**2 + 16/5*b**3 + 3/5 = 0.
-3, 1/4
Let z = 193 - 136. Let g be ((-24)/(-10))/(z/38). Factor 4/5*n + 16/5*n**5 - 12/5*n**3 + 0 + g*n**2 - 16/5*n**4.
4*n*(n - 1)**2*(2*n + 1)**2/5
Factor 4*i + 0 + 2/11*i**2.
2*i*(i + 22)/11
Let p = 42/5 + -76/15. Let l = 1207/354 + -9/118. Factor -p*t**5 - 50/3*t**2 - 50/3*t**4 + 0 - 55/2*t**3 - l*t.
-5*t*(t + 2)**2*(2*t + 1)**2/6
What is v in -4/5*v**5 + 0 - 192/5*v - 77/5*v**4 - 467/5*v**3 - 176*v**2 = 0?
-8, -3, -1/4, 0
Let w = -234563 - -938253/4. Factor 3/2 - w*n**3 - 1/4*n - n**2.
-(n - 1)*(n + 2)*(n + 3)/4
Let t(u) be the third derivative of u**8/1344 - 11*u**7/84 + 167*u**6/24 - 437*u**5/6 + 1040*u**4/3 - 2704*u**3/3 - 1003*u**2. Factor t(v).
(v - 52)**2*(v - 2)**3/4
Let t(l) = -4*l**2 + 576*l + 18488. Let g(p) be the first derivative of -p**3/3 + 2*p**2 - p - 242. Let c(v) = -8*g(v) + t(v). Factor c(a).
4*(a + 68)**2
Let r(h) be the first derivative of -48*h - 13*h**3 - 45 - 507/2*h**2 - 1/4*h**4. Let o(b) be the first derivative of r(b). Factor o(y).
-3*(y + 13)**2
Let t(o) be the third derivative of 1/8*o**4 - 2*o + 19*o**2 - 1/3*o**3 - 1/60*o**5 + 0. Factor t(k).
-(k - 2)*(k - 1)
Let u = -1915/6 + 23447/30. Factor -u + 136/5*h - 2/5*h**2.
-2*(h - 34)**2/5
Let g(c) = c**2 - 22*c + 21. Let n be g(22). Factor n*a**2 + 30*a**2 + 26*a**2 - 7*a - 78*a**2 + 8.
-(a - 1)*(a + 8)
Let u be ((-126)/756)/((-2)/4). Determine h, given that u*h**5 + 0 - 5/3*h**4 + 0*h + 0*h**2 - 2*h**3 = 0.
-1, 0, 6
Let i(n) = -6*n**4 - n**3 - n**2 + 2*n + 2. Let m(p) = -29*p**4 - 15*p**3 + 3*p**2 + 170*p - 374. Let d(c) = 5*i(c) - m(c). Find l such that d(l) = 0.
-4, 4, 6
Let n(p) be the second derivative of p**5/70 - 9*p**4/14 + 24*p**3/7 + 2073*p. Find a, given that n(a) = 0.
0, 3, 24
Factor 4175/3*v - 5/3*v**2 + 4180/3.
-5*(v - 836)*(v + 1)/3
Let y(x) be the third derivative of -1/60*x**5 + 5/2*x**3 + 2 + 33*x**2 + 0*x + 1/12*x**4. Let y(q) = 0. Calculate q.
-3, 5
Suppose -24 = -6*j + 3*j. Suppose -2*y + j = -0. Factor -2*q**2 + y*q + q**2 + 0*q**2 + 0 - 3.
-(q - 3)*(q - 1)
Let s = 20975 - 2831624/135. Let r(o) be the third derivative of 0*o - 8/27*o**3 + s*o**5 + 0 + 1/18*o**4 + 20*o**2. Find h such that r(h) = 0.
-4, 1
Suppose -44348715 + 271952*t + 126419*t - 29729*t - 3105*t**2 + 274093*t + 5*t**3 = 0. Calculate t.
207
Let d(s) be the first derivative of -2*s**3/45 - 91*s**2/5 - 1348. Factor d(u).
-2*u*(u + 273)/15
Let v = -641062 - -641067. Suppose -16/19 - 44/19*i**2 + 14/19*i**v - 50/19*i**3 + 24/19*i**4 + 72/19*i = 0. Calculate i.
-2, 2/7, 1
Let x(a) = -a**3 + 36*a**2 - 235*a - 214. Let p be x(27). Let 14/15*o - 16/15 + 2/15*o**p = 0. What is o?
-8, 1
Let u be (8/(-4) + 0)/((-2)/3). Suppose 0*g = -u*l + g + 2, 3*l + 14 = 5*g. Suppose -5*b - 10/3 - 5/3*b**l = 0. Calculate b.
-2, -1
Let p(h) be the first derivative of 0*h + 2/15*h**5 - 35/3*h**3 + 0*h**2 - 11 + 1/90*h**6 + 1/2*h**4. Let z(n) be the third derivative of p(n). Factor z(u).
4*(u + 1)*(u + 3)
Solve 3694*l - 68*l**3 + 86*l**3 + 3*l**2 - 3*l**4 - 3784*l = 0.
-2, 0, 3, 5
Let k = -59491 - -237971/4. Factor 5/2 + 1/4*z**2 - k*z.
(z - 5)*(z - 2)/4
Let g(d) be the third derivative of -d**6/240 - 1029*d**5/40 - 1058841*d**4/16 - 363182463*d**3/4 - 5*d**2 - 180. Factor g(o).
-(o + 1029)**3/2
Determine c, given that -1/8*c**2 - 23*c + 94 = 0.
-188, 4
Suppose 0 = -25*o - 17 - 8. Let n be 7/(o*42/(-12)). Factor 0 + 0*j**3 + 3/4*j**4 + 0*j - 3/4*j**5 + 0*j**n.
-3*j**4*(j - 1)/4
Let v(i) be the third derivative of 0*i - 31/96*i**4 + 1/1344*i**8 + 1/210*i**7 + 11/60*i**5 + 2 + 34*i**2 + 1/3*i**3 - 13/240*i**6. Factor v(q).
(q - 1)**4*(q + 8)/4
Let y(o) be the first derivative of o**7/42 - o**5/6 + 5*o**3/6 + o**2 - 26*o + 8. Let m(j) be the second derivative of y(j). Suppose m(n) = 0. What is n?
-1, 1
Let b(y) = -16*y**4 + 13046*y**3 - 9452555*y**2 + 2280161250*y + 1524312495. Let k(j) = 2*j**4 + j**2 + 1. Let f(m) = -b(m) - 5*k(m). Solve f(z) = 0 for z.
-2/3, 725
Determine w so that -16*w**2 - 28*w + 54*w**2 - 18821*w**3 - 2*w**4 + 18813*w**3 = 0.
-7, 0, 1, 2
Let s(w) = w**2 + 23*w + 25. Let z be s(-22). Let r = -1143 + 5717/5. Solve -4/5*t + 0 + 4/5*t**z - r*t**4 + 2/5*t**2 = 0 for t.
-1, 0, 1, 2
Let y(d) be the third derivative of d**8/1344 - 13*d**7/420 + 133*d**6/480 - 17*d**5/15 + 61*d**4/24 - 10*d**3/3 - 913*d**2. Let y(i) = 0. Calculate i.
1, 2, 20
Let t(r) be the first derivative of 14/3*r**3 - 9/200*r**6 - 13 + 0*r - 1/120*r**4 + 0*r**2 + 3/100*r**5. Let c(h) be the third derivative of t(h). Factor c(b).
-(9*b - 1)**2/5
Solve 0 + 0*h + 3/2*h**3 + 3/2*h**2 = 0 for h.
-1, 0
Let h(l) be the third derivative of l**8/1008 - 2*l**7/105 - 91*l**6/360 + 7*l**5/18 + 8*l**4 - 272*l**3/9 + 3952*l**2. Find g such that h(g) = 0.
-4, 1, 2, 17
Let p(f) be the third derivative of -1903/120*f**5 - 3751/96*f**4 - 57/16*f**6 - 9/448*f**8 - 1331/24*f**3 + 0 + 60*f**2 - 117/280*f**7 + 0*f. Factor p(c).
-(c + 1)**2*(3*c + 11)**3/4
Let l(f) be the second derivative of f**6/30 + f**5/5 - 9*f**4/4 + 19*f**3/3 - 8*f**2 + 2*f - 87. Suppose l(w) = 0. Calculate w.
-8, 1, 2
Let x(k) = -5*k**3 + 83*k**2 - 340*k + 374. Let h(y) = y**3 - 28*y**2 + 113*y - 118. Let v(n) = -7*h(n) - 2*x(n). Solve v(j) = 0.
-13, 1, 2
Factor -376/13*u + 17672/13 + 2/13*u**2.
2*(u - 94)**2/13
Let v(u) = -5*u**4 - 989*u**3 + 994*u**2 + 154*u + 7. Let t(q) = -2*q**4 - 495*q**3 + 497*q**2 + 66*q + 3. Let a(f) = -7*t(f) + 3*v(f). Factor a(g).
-g**2*(g - 497)*(g - 1)
Let h(x) be the third derivative of 0*x + 6*x**2 + 0*x**4 + 0*x**3 - 