econd derivative of 4/7*t**2 - 3*t - 1/14*t**4 + 2/35*t**5 - 4/21*t**3 - 2 - 1/105*t**6. What is p in u(p) = 0?
-1, 1, 2
Let t = -58447 + 116897/2. Find o, given that -9/2*o**2 + t*o**3 + 9/2 - 3/2*o = 0.
-1, 1, 3
Find x, given that -227/3*x**2 - 457/3*x + 1/3*x**3 - 229/3 = 0.
-1, 229
Let l(c) be the third derivative of c**7/315 - 11*c**5/90 - c**4/2 - 8*c**3/9 + 81*c**2 + 3. Suppose l(j) = 0. What is j?
-2, -1, 4
Factor -1/2*k**2 + 22*k - 11/2*k**3 + 0 + 1/8*k**4.
k*(k - 44)*(k - 2)*(k + 2)/8
Let y be 10/(-25) + 1/(10/(-26)). Let q be (-28)/(-35)*(1 - y/2). Factor 5 + 12 - 4 + 10*a**q - 44*a + 3.
2*(a - 4)*(5*a - 2)
Let h be 2*(-1)/(-2) + 1. Determine z so that -h*z**2 - 3*z - 20 + 18*z - 10*z + 9*z = 0.
2, 5
Let n be (15128/2379 + 2/(-3))/((-372)/(-806)). Solve 212/9*k**2 + n*k + 2 + 58/9*k**4 + 170/9*k**3 + 7/9*k**5 = 0 for k.
-3, -1, -2/7
Factor -1/3 - 13118884/3*q**2 - 7244/3*q.
-(3622*q + 1)**2/3
Suppose 0 = 6*i - 3*i - 12. Let r be (i + 2/(-1))/1. Let 2*z**3 + 30 - 59 + 41 - 8*z**r + 2*z = 0. Calculate z.
-1, 2, 3
Let k(d) be the third derivative of 2*d**7/105 + d**6 + 29*d**5/15 - 1148*d**2. What is o in k(o) = 0?
-29, -1, 0
Factor 5*j**4 - 49*j**3 - 7*j**2 + 89*j**3 + 2*j**2 - 38*j + 5*j - 7*j.
5*j*(j - 1)*(j + 1)*(j + 8)
Let c(x) be the second derivative of 10*x**3 + 95/12*x**4 + 1/6*x**6 + 0 + 0*x**2 - 59*x + 2*x**5. Factor c(z).
5*z*(z + 1)*(z + 3)*(z + 4)
Suppose -5*r + 225 = -0*r. Determine a, given that r*a**2 - 14*a**2 - 8*a - 27*a**2 = 0.
0, 2
Let f be (-58497)/(-16058) - (-2)/84. Find g, given that 0 + 2*g**3 + f*g**2 + 2*g + 1/3*g**4 = 0.
-3, -2, -1, 0
Factor 245*j + 91*j**5 - 490*j**5 + 11030*j**3 + 644*j**5 - 3360*j**2 + 3360*j**4.
5*j*(j + 7)**2*(7*j - 1)**2
Suppose -3*l + 4*d = -682, 26*l + 229 = 27*l - 3*d. Let j = -226 + l. Factor j + 4/7*k**5 - 8/7*k**4 - 4/7*k + 8/7*k**2 + 0*k**3.
4*k*(k - 1)**3*(k + 1)/7
Let r be -1*(-15)/(-10)*4. Let s be 32/(-12)*r/4. Factor 5*m**4 + m + 5*m**3 - 5*m**2 + s*m - 10*m**2 - 10*m + 10.
5*(m - 1)**2*(m + 1)*(m + 2)
Let q(d) be the second derivative of -d**6/6 - 129*d**5/10 + 213*d**4/4 - 242*d**3/3 + 54*d**2 + 5253*d. Factor q(w).
-(w - 1)**2*(w + 54)*(5*w - 2)
Let q(y) be the third derivative of y**8/336 + 19*y**7/70 + 391*y**6/60 - 449*y**5/30 - 261*y**4/8 + 841*y**3/6 + y**2 - 116. Factor q(w).
(w - 1)**2*(w + 1)*(w + 29)**2
Let v(w) = -13*w + 67. Let h be v(5). Find j, given that -59 - 7*j + 3*j**h - 31 + 4*j = 0.
-5, 6
Factor 0 + 20/19*b + 34/19*b**2 + 16/19*b**3 + 2/19*b**4.
2*b*(b + 1)*(b + 2)*(b + 5)/19
Let n(w) be the second derivative of -2*w - 12/5*w**5 - 2*w**4 + 24*w**2 - 8 + 8*w**3 - 7/10*w**6 - 1/14*w**7. Let n(p) = 0. Calculate p.
-2, 1
Suppose 28 = 5*d - 3*d - 4*h, 4*h = 3*d - 42. Suppose -d = -g - 6*g. Factor 4*r**2 - 10*r**g + 4*r**3 + 2*r**2.
4*r**2*(r - 1)
Let r(f) = 2*f**3 - 126*f**2 - 235*f + 10. Let m(q) = -15*q**3 + 882*q**2 + 1644*q - 72. Let u(j) = -5*m(j) - 36*r(j). Factor u(k).
3*k*(k + 2)*(k + 40)
Let n(a) be the third derivative of 80*a**2 + 0*a + 27/80*a**5 + 2/3*a**3 + 0 + 3/4*a**4. Determine b, given that n(b) = 0.
-4/9
Let y be 612/(-24) + 16 - -7 - (-2 - 1). Suppose 3 = -4*a + 5*a. Factor 0*c + 0*c**2 + y*c**a + 1/2*c**5 - c**4 + 0.
c**3*(c - 1)**2/2
Let i(j) = 2. Let k(b) = 1. Let f(p) = -6*i(p) + 13*k(p). Let m(r) = 5*r**2 - 10*r - 30. Let d(u) = 30*f(u) + m(u). Factor d(v).
5*v*(v - 2)
Let t(b) be the first derivative of -2*b**3/3 - 979*b**2 + 1960*b + 9165. Factor t(h).
-2*(h - 1)*(h + 980)
Suppose 4*o - 4 - 82 = -2*k, -3*o - 5*k = -68. Let o*z**4 - 168*z - 60*z**2 + 24*z**5 - 6*z**4 - 27*z**5 + 54*z**3 = 0. What is z?
-2, 0, 2, 7
Let p(u) be the third derivative of -u**5/15 - 5*u**4/6 + 16*u**3 + 29*u**2 - 2. Factor p(h).
-4*(h - 3)*(h + 8)
Suppose l = -0*l - 3. Let a be (l/2)/(8/16). Let t(m) = m**3 + 9*m**2 + 13*m - 23. Let o(x) = x - 1. Let q(d) = a*t(d) - 6*o(d). Factor q(h).
-3*(h - 1)*(h + 5)**2
Let r(o) be the second derivative of -3/4*o**2 + 1/144*o**4 + 7 - 7/72*o**3 + o. Solve r(u) = 0 for u.
-2, 9
Let o(c) be the second derivative of c**7/21 + 13*c**6/5 - 9*c**5/2 - 4473*c**4/2 - 10584*c**3 + 1333584*c**2 + 3874*c. Factor o(m).
2*(m - 12)**2*(m + 21)**3
Suppose -531380 - 3874*i**2 + 3260*i - 3874*i**2 + 7743*i**2 = 0. What is i?
326
Let w be (-1*10/4)/((-301)/602). Let k(y) be the third derivative of -16*y**2 + 1/5*y**w + 0*y**3 + 0 - 3/4*y**4 - 1/60*y**6 + 0*y. Factor k(h).
-2*h*(h - 3)**2
Let y(a) be the first derivative of 3*a**5/35 + 12*a**4/7 - 104*a**3/7 - 288*a**2 + 3024*a - 164. Suppose y(z) = 0. Calculate z.
-14, 6
Let m(i) be the first derivative of -3*i**5/35 + 153*i**4/28 + 106*i**3/7 + 2720. Factor m(z).
-3*z**2*(z - 53)*(z + 2)/7
Let d(h) be the first derivative of h**4/6 - 14*h**3/3 + 13*h**2 + 40*h + 123. Let r(m) be the first derivative of d(m). Solve r(c) = 0.
1, 13
Factor -y**3 + 0 + 46/11*y**2 - 1/11*y**4 + 56/11*y.
-y*(y - 4)*(y + 1)*(y + 14)/11
Let n(i) be the first derivative of -480*i**2 + 572/3*i**3 - 16*i**4 + 2/5*i**5 + 450*i + 23. Factor n(a).
2*(a - 15)**2*(a - 1)**2
Factor -2/7*j + 2/7*j**3 + 334/7 - 334/7*j**2.
2*(j - 167)*(j - 1)*(j + 1)/7
Let q(m) = 35*m**3 + 152*m**2 - 222*m + 35. Let z(j) = 52*j**3 + 228*j**2 - 332*j + 52. Let d(t) = -8*q(t) + 5*z(t). Factor d(l).
-4*(l - 1)*(l + 5)*(5*l - 1)
Let c = 246/29 + -9536/1131. Let p(v) be the first derivative of 1/26*v**4 + 0*v + 3 + 0*v**2 + c*v**3. What is g in p(g) = 0?
-1, 0
Let -71*f**4 + 36784/3 + 3*f**5 + 108944/3*f - 3464/3*f**3 + 78440/3*f**2 = 0. What is f?
-19, -2/3, 22
Suppose -57*g + 2 + 7 = 9. Suppose 0 = 3*r + 4*k - 6, -3*r + 4*r + 5*k - 2 = 0. Factor 3*f + g - 1/3*f**r.
-f*(f - 9)/3
Let b(s) be the third derivative of s**6/6 - 62*s**5/15 + 92*s**4/3 - 128*s**3/3 - 8*s**2 - s + 27. Factor b(c).
4*(c - 8)*(c - 4)*(5*c - 2)
Let f(i) = 76*i + 78. Let m(s) = 377 - 64 + 161*s + 142*s - s**2. Let h(l) = 9*f(l) - 2*m(l). Factor h(a).
2*(a + 1)*(a + 38)
Let -237*h - 454*h**2 + 653276*h**3 + 37*h - 14*h**5 - 228*h**4 - 506*h**2 - 654250*h**3 = 0. Calculate h.
-10, -5, -1, -2/7, 0
Let l be 5037/1254 + (-4 - -1). Let b = l + 61/22. Let -972/19*i**2 + b*i**3 - 2/19*i**4 + 5832/19*i - 13122/19 = 0. Calculate i.
9
Let a = 17959 + -17920. Let t(u) be the first derivative of 0*u - 1/2*u**4 + 2/3*u**3 + 2*u**2 + a. Determine y so that t(y) = 0.
-1, 0, 2
Suppose 0 = 2*v - 4*y - 42, 4*v - 2*y - 9 - 45 = 0. Suppose -u = -2*u + v. Determine n, given that -u*n - 1 + 9*n + 2 + n**2 = 0.
1
Let o = -66510 + 66512. Factor -2/3*x + x**o + 0.
x*(3*x - 2)/3
Let b(i) be the second derivative of i**5/20 - 59*i**4/4 + 88*i**3/3 - 2519*i - 2. Factor b(w).
w*(w - 176)*(w - 1)
Let r(w) be the second derivative of w**7/70 + 2*w**6/25 - 3*w**5/50 - 3*w**4/5 + 9*w**3/10 - 38*w - 14. Factor r(b).
3*b*(b - 1)**2*(b + 3)**2/5
Let u(s) = -s**2 + 361*s - 3168. Let g be u(9). Factor 20/17*r - 2/17*r**3 - 6/17*r**2 + g.
-2*r*(r - 2)*(r + 5)/17
Let g(o) = o**2 + 44*o - 6. Let j(y) = -4*y + 1. Let p(d) = -g(d) - 6*j(d). Determine q so that p(q) = 0.
-20, 0
Suppose 10 - 1918*f**3 + 69*f**2 - 10 - 3*f**4 - 36*f + 1888*f**3 = 0. Calculate f.
-12, 0, 1
Let x(p) be the first derivative of 36*p**5/25 - 88*p**4/5 - 908*p**3/15 - 308*p**2/5 - 96*p/5 - 2150. Find n such that x(n) = 0.
-1, -2/9, 12
Suppose x - 2*n + 8 = 2, 4*x - 24 = -4*n. Factor 29*k**x + 29 + 11 - 33*k**2 + 36*k.
-4*(k - 10)*(k + 1)
Let k(c) be the second derivative of 5*c + 1/15*c**4 - 1 + 4*c**2 + 14/15*c**3. Suppose k(r) = 0. Calculate r.
-5, -2
Let t(c) be the first derivative of c**7/280 - c**6/40 - 9*c**5/8 - 81*c**4/8 + 47*c**3/3 + 89. Let z(q) be the third derivative of t(q). Factor z(p).
3*(p - 9)*(p + 3)**2
Let t(g) = 18*g**4 + 3*g**2 - 3*g + 3. Let b(p) = -15*p**4 - p**3 - 2*p**2 + 2*p - 2. Let x be -3 - 4 - 27/(-3). Let w(a) = x*t(a) + 3*b(a). Factor w(q).
-3*q**3*(3*q + 1)
Let n = -437 + 441. Let a be 8*198/288 - (n + 1). Factor -1/4*b**3 - a*b**2 + 2 + b.
-(b - 2)*(b + 2)**2/4
Let g be ((-2)/9)/((-1516)/1137). Factor 1/3*j - 1/6*j**2 + 1/6*j**4 + g*j**5 - 1/2*j**3 + 0.
j*(j - 1)**2*(j + 1)*(j + 2)/6
What is s in 1/3*s + 1/3*s**2 - 1/3*s**3 - 1/3 = 0?
-1, 1
Let s = 4563 - 4563. Let w(r) be the first derivative of s*r - 4 + 1/16*r**4 + 1/8*r**2 + 1/6*r**3. Find c, given that w(c) = 0.
-1, 0
Factor -1661*n**2 + 