*n**5 - 30*n**4 + 2*n**c + 26*n**4.
-n**4*(n + 4)
Let o(z) = -z**3 + 9*z**2 - z + 13. Let c be o(9). Suppose -5*r**c - 49*r + 25*r**3 - 36*r + 48 + 2 + 15*r**2 = 0. Calculate r.
-2, 1, 5
Let t(m) be the second derivative of 3*m**5/4 + 61*m**4/12 + 32*m**3/3 + 2*m**2 + 44*m - 3. Suppose t(f) = 0. Calculate f.
-2, -1/15
Let i(l) = 5*l**4 - 1670*l**3 + 5010*l**2 - 5025*l + 1675. Let p(v) = -2*v**4 + v**3 + 3*v**2 - 2*v + 1. Let y(j) = i(j) + 5*p(j). Solve y(w) = 0 for w.
-336, 1
Let s = -28570 - -28573. Let z(t) be the first derivative of 8 + 5/2*t**2 + 25*t + 1/12*t**s. Determine f, given that z(f) = 0.
-10
Let f = 145441 - 145441. Find j such that f*j + 2/5*j**2 - 1/5*j**3 + 0 = 0.
0, 2
Suppose 4*v = 2*c + 492, 484 = -0*v + 4*v - 4*c. Suppose 0 = -56*q + v*q - 61*q. Factor 0*w + q + 0*w**2 + 1/2*w**3.
w**3/2
Let j = -16055/6 + 5353/2. Let m(o) be the first derivative of -18 + 2/9*o**3 + 0*o**2 - j*o. What is x in m(x) = 0?
-1, 1
Let i(y) be the third derivative of -y**7/280 - y**6/15 - 2*y**5/5 - 9*y**3/2 - y**2 + 13*y. Let c(b) be the first derivative of i(b). Factor c(x).
-3*x*(x + 4)**2
Determine n so that 7*n**3 - 223*n**2 + 10*n**3 - 904*n - 13*n**3 + 1248 + 355*n**2 = 0.
-39, 2, 4
Let m be (-20)/(-190) - (-36)/19. Factor 5*w**5 + 10*w + 47*w**3 - 25*w**4 - 5*w**3 - 13*w**m - 22*w**2 + 3*w**3.
5*w*(w - 2)*(w - 1)**3
Let -920199296 - 3489*y**2 + 1876914*y - y**3 + 4*y**3 - 5452818*y - 5*y**3 - 1143*y**2 = 0. What is y?
-772
Let q(y) be the second derivative of -49*y**5/90 - 1925*y**4/27 - 2188*y**3/27 - 104*y**2/3 - 362*y. Suppose q(k) = 0. Calculate k.
-78, -2/7
Let o = 18004 + -54004/3. Let r(p) be the second derivative of -24*p + 0 + 2/15*p**6 - p**5 + 8/3*p**4 - o*p**3 + 0*p**2. Find i, given that r(i) = 0.
0, 1, 2
Let s(u) be the first derivative of -4*u**5 - 10*u**4 - 15*u**3/2 - 40*u - 90. Let j(p) be the first derivative of s(p). Factor j(h).
-5*h*(4*h + 3)**2
Let g(w) be the first derivative of -w**7/4200 - w**6/450 + w**5/150 + 2*w**4/15 - 4*w**3 - 3*w**2/2 + 7. Let x(n) be the third derivative of g(n). Factor x(i).
-(i - 2)*(i + 2)*(i + 4)/5
Let -1/4*d**5 - 3/4*d**4 + 1/2*d + 3/4*d**2 + 0 - 1/4*d**3 = 0. What is d?
-2, -1, 0, 1
Let m(v) = 16*v - 8. Let b be (-96)/(-336) + (-10)/(-14). Let z(i) = i**2 + i. Suppose -5*w + w = -x + 14, w = 5*x + 6. Let n(t) = b*m(t) + w*z(t). Factor n(u).
-4*(u - 2)*(u - 1)
Let x(f) be the second derivative of -3*f**5/10 + 43*f**4/8 - 13*f**3 - 297*f**2/4 + 4622*f. Determine g so that x(g) = 0.
-1, 11/4, 9
Let i(n) be the third derivative of n**5/360 - 11*n**4/36 - 5*n**3/4 + n**2 - 944*n. Find m, given that i(m) = 0.
-1, 45
Let g(k) be the third derivative of -k**5/12 + 265*k**4/8 + 400*k**3/3 - 170*k**2. Factor g(x).
-5*(x - 160)*(x + 1)
Let w(q) = 18*q**3 - 21*q**2 - 60*q - 45. Let y(b) = b**2 - 4*b - 1. Let r(s) = w(s) + 6*y(s). Factor r(j).
3*(j + 1)**2*(6*j - 17)
Let p be (-11 - (-15 + -1) - (22 - 17))/(-2). Let -24/7*z**4 + 74/7*z**3 + 2/7*z**5 - 12*z**2 + 32/7*z + p = 0. What is z?
0, 1, 2, 8
Factor -235/4*f - 1/8*f**3 + 118 - 473/8*f**2.
-(f - 1)*(f + 2)*(f + 472)/8
Suppose -633 = -2*y - 627, 0 = 5*i - 4*y - 3. Let m(n) be the third derivative of 0*n + 1/4*n**4 + 2/3*n**i + 0 + 1/30*n**5 + 33*n**2. Factor m(q).
2*(q + 1)*(q + 2)
Let m be (-6 + (-203)/(-21) + -4)/(5*14/(-840)). Solve 8/11*s**2 + 2/11*s**5 - 10/11*s**m + 0 - 16/11*s + 12/11*s**3 = 0 for s.
-1, 0, 2
Let l(t) be the third derivative of t**7/630 - 17*t**6/180 + 121*t**5/180 - t**4/3 - 10*t**3 + 2*t**2 + 23*t + 1. Determine m so that l(m) = 0.
-1, 2, 3, 30
Let f(g) = -9*g**2 - 62*g + 137. Let b(j) = 10*j**2 + 68*j - 138. Let u(w) = -5*b(w) - 6*f(w). Let u(h) = 0. Calculate h.
-11, 3
Let v(j) = -10*j + 9. Let n be v(5). Let u = 44 + n. What is b in -b**4 + 12 - b**u + 3*b**3 - 12 - b**2 = 0?
0, 1
Suppose z + a - 364 = 0, -5*z + 2924 = -5*a + 1054. Let l be 50/175 - z/(-7). What is c in -l - 2*c**3 - 2*c + 53 + 4*c**2 = 0?
0, 1
Let f(h) = 3*h**2 + 27*h. Let j(n) = -8*n**2 - 68*n. Suppose -9*t = -16*t + 161. Suppose -t*i + 27*i = -48. Let u(l) = i*f(l) - 5*j(l). Factor u(z).
4*z*(z + 4)
Factor -2127/2*d**2 + 1/2*d**3 + 1508043/2*d - 356400829/2.
(d - 709)**3/2
Let k = 103/42 + 1/21. Suppose 3*f = -6*t + 9, 400*t - 395*t = 0. Factor -10 + 5/4*l**f - 5*l + k*l**2.
5*(l - 2)*(l + 2)**2/4
Factor 0 + 7020/7*l**2 + 12675/7*l + 3/7*l**5 + 108/7*l**4 + 1362/7*l**3.
3*l*(l + 5)**2*(l + 13)**2/7
Let n(o) be the second derivative of 3*o**5/80 + 27*o**4/16 - 78*o**3 + 1032*o**2 + 502*o. Factor n(g).
3*(g - 8)**2*(g + 43)/4
Let x(m) be the second derivative of -m**4/28 - 19*m**3 + 801*m**2/14 + 2*m + 190. Solve x(c) = 0.
-267, 1
Let w(l) be the first derivative of -2*l**3/27 + 656*l**2/9 + 1328. Factor w(j).
-2*j*(j - 656)/9
Suppose -3*y - 8 = -5*y - 2*r, -3*r = -3*y + 12. Suppose 6*v**2 - 7172 + 8*v**2 + 4*v**y + 19*v**3 - 31*v + 7142 = 0. What is v?
-3, -2, -1, 5/4
Let 0*m + 0 + 0*m**2 + 0*m**3 + 2/9*m**5 - 4/9*m**4 = 0. Calculate m.
0, 2
Let s be ((-93)/(-62))/(2/(-8)). Let c(m) = -m**2 - 7*m - 6. Let t be c(s). Let -15/4*f**4 + t*f + 0 + 1/4*f**3 + 1/2*f**2 = 0. Calculate f.
-1/3, 0, 2/5
Suppose 0 = -3*c - 187 - 539. Let x = 244 + c. What is d in -3/2*d + 9/8 + 3/8*d**x = 0?
1, 3
Let y = 38 - 22. Suppose -21*s + 25 = -y*s. Let -5*w**5 + 15*w**2 - w**3 - 5*w**s - 15*w**4 + 6*w**3 + 5*w**5 = 0. What is w?
-3, -1, 0, 1
Find a, given that 61*a + 190*a**2 - 361*a - 210 + 270*a**3 + 28*a + 2*a**5 + 74*a**4 + 79 - 133 = 0.
-33, -2, -1, 1
Let m be -27 + 4 + 29 - 1*6/2. Let j(k) be the first derivative of -2/65*k**5 + 0*k + 1/13*k**2 + 3/26*k**4 - 2/13*k**m + 17. Factor j(v).
-2*v*(v - 1)**3/13
Let a(l) be the third derivative of 0*l + 0 + 58*l**2 - 1/210*l**5 - 1/21*l**4 - 4/21*l**3. Suppose a(k) = 0. What is k?
-2
Let a = -1183 - -1187. Let l(q) = -q**2 - 9*q + 55. Let p be l(a). Factor 4/5*s**p + 0*s + 1/5*s**2 + 0.
s**2*(4*s + 1)/5
Let z be (72/(-20))/((-12)/40). Suppose 4*v - z = -b + 4*b, v + 3*b - 3 = 0. Let v*m**3 - 7*m**2 + 3*m**2 + 10*m**2 = 0. What is m?
-2, 0
Find z such that 205743 + 341*z + 224*z + 2*z**2 + 237939 + 1319*z = 0.
-471
Let 0*r - 2/13 + 2/13*r**2 = 0. What is r?
-1, 1
Factor -84*b**2 + 1910380*b**3 - 52*b**2 - 333 - 1910376*b**3 + 2*b - 437*b.
(b - 37)*(2*b + 3)**2
Factor 1105*j**2 - 1107*j**2 + 72*j + 401 + 201.
-2*(j - 43)*(j + 7)
Solve 144*z - 2/3*z**3 - 26*z**2 - 352/3 = 0 for z.
-44, 1, 4
Let v(a) be the third derivative of 0*a - 35/8*a**4 - 2/5*a**5 + 33*a**2 + 1/40*a**6 + 147*a**3 + 0. Factor v(y).
3*(y - 7)**2*(y + 6)
Suppose 0 = 2*v - c + 1296, 241 = -3*v + 2*c - 1705. Let i be v/(-42) - (-73)/(-1533). Factor 8/3*u**2 - i*u - 4.
2*(u - 6)*(4*u + 1)/3
Let y = -3697999/100 + 36980. Let a(q) be the second derivative of 0*q**3 + 0*q**2 + 0 + 23*q + 1/30*q**4 - y*q**5 - 1/150*q**6. Factor a(m).
-m**2*(m - 1)*(m + 2)/5
Let v be ((-468)/(-3822))/(1/14*(-8 + 12)). Determine n, given that -24/7 + v*n**2 + 3*n = 0.
-8, 1
Let b(n) be the first derivative of n**7/2940 + n**6/210 + n**5/84 - n**3/3 + 46*n - 84. Let x(k) be the third derivative of b(k). Factor x(d).
2*d*(d + 1)*(d + 5)/7
Suppose -3*d - 1792 = -17*d. Let z = d + -120. Factor 4*s - 16*s**3 - s**2 + z*s + 7*s**2 - 8 + 4*s**5 + 2*s**2.
4*(s - 1)**3*(s + 1)*(s + 2)
Let l(q) be the first derivative of q**6/6 + 458*q**5/5 + 70225*q**4/4 + 3650888*q**3/3 + 3546464*q**2 + 3511808*q + 6798. Suppose l(i) = 0. Calculate i.
-152, -1
Let v(n) be the second derivative of 0 + 1/6*n**4 + 2/45*n**6 + 8/9*n**3 - 4/3*n**2 - 62*n - 7/30*n**5. Find k such that v(k) = 0.
-1, 1/2, 2
Let t be 3540/(-9086) - ((-16)/(-14))/(-2). Solve 0 - 1/11*a**3 + t*a - 1/11*a**2 = 0 for a.
-2, 0, 1
Let c(x) be the first derivative of 0*x**2 - 1/240*x**5 + 1/24*x**4 + 0*x - 1/720*x**6 - 15 + 22/3*x**3. Let u(o) be the third derivative of c(o). Factor u(v).
-(v - 1)*(v + 2)/2
Suppose 43*r = 17510 + 7129. Let b = 8597/15 - r. Factor 2/15*n**3 - 2/15*n - b + 2/15*n**2.
2*(n - 1)*(n + 1)**2/15
Let w(d) be the second derivative of 0 - 11/60*d**4 - 2/5*d**2 - 101*d + 4/5*d**3. Factor w(s).
-(s - 2)*(11*s - 2)/5
Find y such that 1614*y**2 + 6552*y - 2683044 + 1612*y**2 - 3230*y**2 = 0.
819
Let r(n) = 2*n**2 + n. Let i = 337 - 339. Let s(m) = 18*m**3 - 24*m**2 - 58*m + 16. Let k(a) = i*s(a) - 36*r(a). Fac