et a(p) = -9*p**2 + 2*p + 2. Let x(g) = 56*g**2 - 250*g - 744. Let i(o) = 6*a(o) + x(o). Factor i(c).
2*(c - 122)*(c + 3)
Let m(h) = 23*h**2 - 87*h + 84. Let z(s) = -20*s**2 + 78*s - 82. Let i(f) = 6*m(f) + 7*z(f). Solve i(d) = 0 for d.
5, 7
Let n(q) be the first derivative of -q**5/60 + 5*q**4/36 - 4*q**3/9 + 2*q**2/3 - 7*q - 36. Let a(i) be the first derivative of n(i). Factor a(l).
-(l - 2)**2*(l - 1)/3
Let 111*t**3 - 1008*t - 375*t**2 - 172*t**5 - 540 + 15*t**4 + 257*t**5 - 88*t**5 = 0. What is t?
-5, -1, 6
Let p(k) = -3*k**3 - 83*k**2 + 451*k - 646. Let m(q) = 5*q**3 - q**2 - q - 2. Let i(j) = m(j) + p(j). Determine t so that i(t) = 0.
3, 36
Let c = 483680/4596043 + 6/241897. Factor 24/19 + c*l**2 - 16/19*l.
2*(l - 6)*(l - 2)/19
Let f(u) = 28*u**2 - 321*u - 505. Let y(p) = 84*p**2 - 962*p - 1592. Let i(g) = -16*f(g) + 5*y(g). Factor i(c).
-2*(c - 12)*(14*c + 5)
Let g(y) = -34*y + 6. Let v be g(-2). Let p = v - 69. Factor 3*t**4 - 4*t**2 - 11*t**4 + 10*t**3 - 493*t**p + 495*t**5.
2*t**2*(t - 2)*(t - 1)**2
Let f = -2/269271 - -4308346/1346355. Factor -2/5*o**3 - f*o**2 - 32/5*o + 0.
-2*o*(o + 4)**2/5
Let y = 947 + -2255. Let p = 1310 + y. Factor 3/5*a**p - a**3 + 12/5*a + 4/5.
-(a - 2)*(a + 1)*(5*a + 2)/5
Let a = -96/31 - -542/155. Let g(l) be the first derivative of -1/30*l**3 + a*l**2 - 4 - 8/5*l. Factor g(r).
-(r - 4)**2/10
Let l(d) be the second derivative of d**7/15120 + d**6/432 + d**5/80 + 137*d**4/12 - 4*d + 19. Let c(y) be the third derivative of l(y). Solve c(t) = 0.
-9, -1
Let z(b) = b**2 - 20*b + 19. Let o = -793 + 812. Let r be z(o). What is c in -3/5*c**3 + 6/5*c + r + 3/5*c**2 = 0?
-1, 0, 2
Let f = 14 - 12. Factor 7 + 2 - 6*s - s**2 - 2 + 0*s**f.
-(s - 1)*(s + 7)
Let c(o) be the second derivative of 2*o**7/105 + o**6/15 - o**5/15 - o**4/3 - 15*o**2/2 + 63*o. Let s(j) be the first derivative of c(j). Solve s(h) = 0 for h.
-2, -1, 0, 1
Let z(j) be the second derivative of -3/20*j**5 + 2 + 0*j**3 + 0*j**2 + 1/6*j**6 - 3*j - 1/6*j**4. Factor z(d).
d**2*(d - 1)*(5*d + 2)
Let o(g) be the third derivative of -58*g**2 + 0*g + 25/14*g**4 + 0*g**3 - 13/28*g**5 + 1/20*g**6 - 1/490*g**7 + 0. Let o(r) = 0. Calculate r.
0, 4, 5
Let p(l) be the second derivative of l**4/6 + 86*l**3/3 + 168*l**2 + 1009*l. Factor p(r).
2*(r + 2)*(r + 84)
Suppose -4*i - 176 = -4*p + i, 5*p - 225 = 5*i. Let g = p - 47. Factor -5*n**2 + 6 - 5*n**g + 5*n**4 + 0*n**4 - 1.
5*(n - 1)**2*(n + 1)**2
Let o(h) be the third derivative of h**5/180 - 247*h**4/72 + 1024*h**2. Determine x, given that o(x) = 0.
0, 247
Let k(a) be the second derivative of -a**7/6300 + a**6/360 + 2*a**5/25 + 5*a**4/6 + 9*a. Let q(b) be the third derivative of k(b). Factor q(p).
-2*(p - 8)*(p + 3)/5
Let h(r) be the first derivative of 0*r + 0*r**2 - 13/3*r**3 - 1/4*r**4 + 34. Factor h(l).
-l**2*(l + 13)
Let o(a) = 2*a - 18. Let h(c) = -5*c + 54. Let l(y) = -3*h(y) - 8*o(y). Let r be l(-23). Factor -f**4 - 6*f**2 + 4*f**3 + r - 1 - 2*f + 6*f - 5.
-(f - 1)**4
Let a(p) be the third derivative of p**5/30 + 8*p**4/3 - 76*p**3 - 291*p**2 - 1. Let a(l) = 0. Calculate l.
-38, 6
Let f be (123/533*13)/1. Factor 437/2*z + 20*z**2 + 361 + 1/2*z**f.
(z + 2)*(z + 19)**2/2
Let w(c) be the second derivative of 0 + 39/50*c**5 - 9/2*c**4 + 47/5*c**3 - 48/5*c**2 + 1/25*c**6 - 52*c. Find a such that w(a) = 0.
-16, 1
Factor -272*z - 148*z - 423*z**2 - 73*z**3 + 43*z**3 + 27*z**3.
-3*z*(z + 1)*(z + 140)
Let g = -141/2 - -713/10. Let o(d) = 5*d + 32. Let r be o(-6). Factor -g*k**r - 8/5*k + 12/5.
-4*(k - 1)*(k + 3)/5
Let v(h) = -19. Let b(k) = -165. Let w(z) = 4*b(z) - 35*v(z). Let a(r) = r**2 + 26*r + 139. Let q(y) = 5*a(y) + 30*w(y). Determine j, given that q(j) = 0.
-13
Let n(d) be the first derivative of -3*d**3 - 3*d**2 - 3/4*d**4 + 119 + 0*d. Let n(w) = 0. Calculate w.
-2, -1, 0
Let z be 14/(-66)*(48 - 36816/728). Determine l, given that -8/11*l**4 - z*l**5 - 4/11*l**2 + 12/11 + 32/11*l**3 - 26/11*l = 0.
-3, -1, 2/3, 1
Let c(h) = 11*h**2 + 356*h - 430. Let m(d) = -5*d**2 - 178*d + 211. Let u(q) = -4*c(q) - 9*m(q). Determine b so that u(b) = 0.
-179, 1
Let b(j) be the second derivative of -j**5/20 + 341*j**4/48 - 85*j**3/24 - 73*j - 8. Find v such that b(v) = 0.
0, 1/4, 85
Let u = -710 - -730. Let m be (5/((-100)/(-32)))/(8/u). Factor 8/5*p**2 + 0 + 4/5*p**m + 0*p + 12/5*p**3.
4*p**2*(p + 1)*(p + 2)/5
Let z be (-73)/(44384/(-448))*38/6. Determine i so that 5*i**2 + 0 + 1/3*i**3 + z*i = 0.
-14, -1, 0
Let h(i) be the third derivative of i**6/20 - 1893*i**5/20 + 112101*i**4/2 - 223729*i**3/2 - 1178*i**2 + 2. Factor h(d).
3*(d - 473)**2*(2*d - 1)
Let v(r) be the second derivative of -r**5/40 - 5*r**4/24 - 7*r**3/12 - 3*r**2/4 + 2765*r. Determine n so that v(n) = 0.
-3, -1
Let p(r) be the first derivative of -87*r**4/4 - 83*r**3 - 69*r**2 + 24*r + 917. What is z in p(z) = 0?
-2, -1, 4/29
Let s be 12/2 + ((-784)/20)/14. Let q be ((-728)/210)/26 + (-26)/(-15). Let s*l**2 - q*l + 2/5*l**4 - 2*l**3 + 0 = 0. What is l?
0, 1, 2
Let z(f) be the second derivative of f**6/30 - 2*f**5/5 + 7*f**4/4 - 11*f**3/3 + 4*f**2 + 2*f - 1388. Factor z(u).
(u - 4)*(u - 2)*(u - 1)**2
Let g = 93612 - 93609. Factor 0 - 7/9*k**4 + 1/3*k**2 + 13/9*k**g + 1/9*k**5 - 2*k.
k*(k - 3)**2*(k - 2)*(k + 1)/9
Let f = -111171 - -1222883/11. Determine u so that 20/11*u - f*u**2 - 18/11 = 0.
1, 9
Let k(n) be the first derivative of 12/5*n**2 - 34 - 12*n + 1/5*n**3. Factor k(o).
3*(o - 2)*(o + 10)/5
Let z(i) be the third derivative of 0*i**5 + 45*i**2 + 0*i**4 + 0*i + 0 + 1/90*i**6 + 1/630*i**7 + 0*i**3. Let z(d) = 0. Calculate d.
-4, 0
Let i be 100 + 3 - 0/3. Suppose -2*z = -i + 39. Find s, given that 2*s**2 + 56 + 10*s - z - 24 = 0.
-5, 0
Let g(r) be the second derivative of -r**4/5 - 3073*r**3/10 + 6921*r**2/10 + 3*r + 109. Factor g(n).
-3*(n + 769)*(4*n - 3)/5
Let n(i) be the third derivative of i**5/24 + 115*i**4/48 - 615*i**3/2 + 2230*i**2. Factor n(k).
5*(k - 18)*(k + 41)/2
Let v(j) = -j**3 + 59*j**2 - 11*j - 2724. Let h be v(58). Factor 0 - 1/2*w**h + 23/2*w.
-w*(w - 23)/2
Suppose 1/2*i**3 + 12*i**2 + 0 + 72*i = 0. Calculate i.
-12, 0
Factor -418*o - 406/11*o**2 - 10/11*o**3 - 9386/11.
-2*(o + 19)**2*(5*o + 13)/11
Let p(o) be the first derivative of 3*o**5/5 - 69*o**4/4 - 25*o**3 + 69*o**2/2 + 72*o + 7849. Factor p(s).
3*(s - 24)*(s - 1)*(s + 1)**2
Let k(n) be the second derivative of n**6/6 - 485*n**4/12 - 250*n**3 + 990*n**2 - 8816*n. Suppose k(s) = 0. Calculate s.
-6, 1, 11
Let g(q) = 26*q**2 + 385*q + 1074. Let s(l) = -12*l**2 - 192*l - 536. Let y(i) = 4*g(i) + 9*s(i). Factor y(h).
-4*(h + 3)*(h + 44)
Let d(x) be the third derivative of -x**6/1080 + x**5/135 - x**4/216 - x**3/9 + 1887*x**2. Find w, given that d(w) = 0.
-1, 2, 3
Determine g, given that -184 - 236*g**2 - 520 - 887*g - 1146*g**3 - 321*g + 1134*g**3 = 0.
-11, -8, -2/3
Let 3/10*b**4 + 90363/10*b - 16562/5 + 26841/10*b**2 + 557/10*b**3 = 0. What is b?
-91, -4, 1/3
Let h(o) be the third derivative of -1/15*o**5 - 1/3*o**4 + 2*o**2 + 0*o + 0*o**3 + 17. Let h(u) = 0. What is u?
-2, 0
Suppose -7*y + 142 - 30 = 0. Factor -14*o**2 + 7*o**3 - y*o + 11*o**3 - 28*o**3 + 12*o**3.
2*o*(o - 8)*(o + 1)
Let y be 231/(-22)*(-4)/6. Suppose y*u + 4 = -2*i + 5*u, -4*i - 3 = 3*u. Determine q so that -31*q**3 + 2*q**5 + 4*q**4 + 18*q**i + 15*q**3 + 0*q**4 = 0.
-1, 0
Suppose -2*d - 44*d + 16*d + 50 = -5*d. Factor -18 + 3/2*i**3 + 21/2*i**d + 6*i.
3*(i - 1)*(i + 2)*(i + 6)/2
Solve 2092/5*w + 14*w**2 - 2/5*w**3 - 432 = 0 for w.
-20, 1, 54
Factor 327610/3 + 724/3*c + 2/15*c**2.
2*(c + 905)**2/15
Let q(d) = 31*d**2 + 217*d - 5476. Let u(f) = -82*f**2 - 579*f + 14602. Let n(p) = -21*q(p) - 8*u(p). Factor n(m).
5*(m - 13)*(m + 28)
Let d(g) = -21*g**4 + 227*g**3 + 4105*g**2 + 20025*g. Let v(c) = 16*c**4 - 228*c**3 - 4104*c**2 - 20020*c. Let o(n) = -4*d(n) - 5*v(n). Factor o(b).
4*b*(b + 8)*(b + 25)**2
What is i in 1/4*i**2 - 6*i - 28 = 0?
-4, 28
Let i(j) be the second derivative of -j**6/2700 + j**5/300 + j**4/45 - 4*j**3 + 2*j + 2. Let a(n) be the second derivative of i(n). Factor a(k).
-2*(k - 4)*(k + 1)/15
Let n(j) be the first derivative of -5/14*j**4 + 0*j**2 - 10 - 2/35*j**5 + 0*j + 1/21*j**6 - 2/7*j**3. Solve n(r) = 0 for r.
-1, 0, 3
Let m(q) = 7*q**2 - 169*q - 161. Let t(i) = -54*i**2 + 1350*i + 128