 -6/7*l**4 - 33/7*l**2 + 3*l**3 + 3/35*l**5 + 57 + 24/7*l. Factor g(c).
3*(c - 4)*(c - 2)*(c - 1)**2/7
Factor -2986 - 2980 - d**2 + 23*d + 5840.
-(d - 14)*(d - 9)
Let z be (-10)/21*1456/(-390). Let w be (-1 - -5)/2 - (2 - 0). Find p such that -16/9*p**3 + z*p**2 + 0 + 4/3*p**5 + w*p - 20/9*p**4 = 0.
-1, 0, 2/3, 2
Let h(j) be the third derivative of -j**7/420 - 211*j**6/60 - 29821*j**5/20 - 88831*j**4/12 - 177241*j**3/12 - 18*j**2 + 51. Factor h(r).
-(r + 1)**2*(r + 421)**2/2
Let m = 182 + -180. Factor -10*t**3 + 36*t**m + 16*t + 10*t**3 + 8*t**3.
4*t*(t + 4)*(2*t + 1)
Let o(w) be the second derivative of -w**6/135 + w**5/30 - w**4/18 + w**3/27 - 91*w - 2. Solve o(d) = 0.
0, 1
Let -18*t**4 - 302395 + 300875 + 932*t**2 + 6*t**4 + 1744*t - 184*t**3 = 0. Calculate t.
-19, -2, 2/3, 5
What is f in -228/7 + 6/7*f**2 - 58/7*f = 0?
-3, 38/3
Let s(p) be the third derivative of p**8/5040 + p**7/90 - p**6/12 + 13*p**5/6 - 127*p**2. Let i(k) be the third derivative of s(k). Find v, given that i(v) = 0.
-15, 1
Let v(w) be the third derivative of -w**5/60 + 181*w**4/12 - 120*w**3 + 2804*w**2. Factor v(j).
-(j - 360)*(j - 2)
Let w(i) = 222*i - 828. Let j(o) = o**2 + 446*o - 1660. Let z(p) = -3*j(p) + 7*w(p). Factor z(b).
-3*(b - 68)*(b - 4)
Let n(t) be the third derivative of t**5/90 - 95*t**4/6 + 9025*t**3 - 39*t**2 - 6*t. Let n(g) = 0. Calculate g.
285
Let j(s) = 2*s**2 - 1162*s - 3504. Let n(d) = -d**2 + 464*d + 1401. Let g(q) = 5*j(q) + 13*n(q). Factor g(v).
-3*(v - 77)*(v + 3)
Factor 2/5*b**2 + 2552/5 - 2554/5*b.
2*(b - 1276)*(b - 1)/5
Let t = 906 - 902. Suppose 6*p - t = 4*p. Factor -1/9 + 0*l + 1/9*l**p.
(l - 1)*(l + 1)/9
Let n(z) = z**2 + z. Let w(j) = 2*j - 32. Let r be w(2). Let u(x) = 30*x**2 - 45*x + 1. Let d(g) = r*n(g) - 4*u(g). Determine i, given that d(i) = 0.
1/37, 1
Let b(a) be the first derivative of -a**7/280 + 21*a**5/40 - 5*a**4/2 - 155*a**3/3 + 54. Let w(q) be the third derivative of b(q). Determine u so that w(u) = 0.
-5, 1, 4
Let q(d) be the first derivative of -d**3/6 - 163*d**2 - 53138*d - 1670. Let q(k) = 0. Calculate k.
-326
Let c(x) be the first derivative of 5/4*x**4 + 5*x**2 + 43 + 0*x - 5*x**3. Factor c(o).
5*o*(o - 2)*(o - 1)
Let q(r) be the third derivative of r**6/40 + 3*r**5/5 + 21*r**4/8 - 49*r**3 + 1774*r**2. Factor q(x).
3*(x - 2)*(x + 7)**2
Let g = 27676/3 + -138368/15. Solve 4/5*r**4 - 2/5*r**3 - 12/5*r**2 - 2/5*r + g = 0.
-1, 1/2, 2
Let u(b) be the third derivative of b**7/70 + 11*b**6/40 - 39*b**5/20 + 41*b**4/8 - 7*b**3 + 10*b**2 - 321. Solve u(c) = 0 for c.
-14, 1
Let j(m) be the first derivative of 3*m**2 - 5 + 2*m**3 - 9*m - 21 - m**3 - 36. Let j(u) = 0. What is u?
-3, 1
Suppose -d - 13 = 5*z, 12*z = 4*d + 9*z - 40. Solve -12*p + 14*p - 16*p**3 + 17*p**3 - 10*p + d*p**2 = 0 for p.
-8, 0, 1
Let u be 3/54*(-2 + (-12)/60)*(-450)/20. Factor -2 - 23/2*y - u*y**2.
-(y + 4)*(11*y + 2)/4
Let u be ((-1742)/(-156) + -11)*10. Suppose -20/3 + 40/3*r - 25/3*r**2 + u*r**3 = 0. What is r?
1, 2
Factor 1/6*d**3 + 395/6*d**2 - 793/6*d + 397/6.
(d - 1)**2*(d + 397)/6
Suppose -4*c = -4*y - 820 + 224, -5*y + 143 = c. Let 41 + 99 + c - 48*n + 2*n**2 = 0. Calculate n.
12
Let l(x) = x**2 + 75*x + 416. Let w be l(-6). Let m(n) be the second derivative of 1/72*n**4 + 0 - 1/9*n**3 - 15*n - 5/12*n**w. Factor m(f).
(f - 5)*(f + 1)/6
Let u(d) be the second derivative of -d**6/60 + 11*d**5/60 + 5*d**4/6 + 7*d**3/6 + 53*d**2 + 136*d. Let f(q) be the first derivative of u(q). Factor f(a).
-(a - 7)*(a + 1)*(2*a + 1)
Let b(y) be the second derivative of 5*y**7/147 - 2*y**6/105 - 3*y**5/14 - 2*y**4/21 + 4*y**3/21 + 99*y. Solve b(h) = 0.
-1, 0, 2/5, 2
Let p(s) be the second derivative of 9*s**4 + 23328*s**2 - 26 - 1/20*s**5 - s - 648*s**3. Factor p(x).
-(x - 36)**3
Suppose -4*k - 6*k - 280 = 0. Let b be (k/(-21))/(4/90). Determine t, given that 8*t + 1 - b*t**2 + 3 + 47*t + 6 = 0.
-1/6, 2
Let d be (0*6/(-66))/1. Let h(y) be the third derivative of 7*y**2 + d + 1/90*y**5 + 1/540*y**6 + 0*y**4 + 0*y - 4/27*y**3. Suppose h(v) = 0. What is v?
-2, 1
Let d(b) be the second derivative of b**5/270 - b**4/36 + 2*b**3/27 + 50*b**2 + b + 43. Let t(n) be the first derivative of d(n). Factor t(h).
2*(h - 2)*(h - 1)/9
Let x(p) be the first derivative of p**4/60 - p**3/2 - 8*p**2/5 - 40*p - 29. Let q(h) be the first derivative of x(h). Factor q(n).
(n - 16)*(n + 1)/5
Let d = -274 + 277. Find f such that f**2 - d*f - 3*f**2 + 5*f + 5*f**2 + f**3 = 0.
-2, -1, 0
Let c be (18/(-7))/((-42)/196). Factor c*q - 2746 + 2746 + 2*q**2.
2*q*(q + 6)
Suppose -20 + 60 = 10*b. Suppose -5*p + 13 = 3*l, -3*p = 83*l - 85*l - b. Factor -8/7 - 68/7*o + 76/7*o**p.
4*(o - 1)*(19*o + 2)/7
Let n = -689370/161 - -99822/23. Factor 0 - 6/7*d**3 - 6936/7*d - n*d**2.
-6*d*(d + 34)**2/7
Let z(d) be the first derivative of d**5/25 - d**4/5 - 19*d**3/15 - 7*d**2/5 + 2300. Suppose z(k) = 0. What is k?
-2, -1, 0, 7
Factor -14*l**2 - 25/3*l**3 + 100/3*l - 1/3*l**4 + 184/3.
-(l - 2)*(l + 2)**2*(l + 23)/3
Let m(n) be the second derivative of n**7/147 - 3*n**6/7 + 373*n**5/35 - 2717*n**4/21 + 5239*n**3/7 - 10985*n**2/7 + 925*n + 2. Suppose m(w) = 0. Calculate w.
1, 5, 13
Suppose -2*y + 9 = -m + 2, -3*m + 15 = 0. Let x be 6777/108 + y/(-8). Factor -120 + 5*g**2 - 20*g + 73 + x.
5*(g - 3)*(g - 1)
Let f(i) be the third derivative of i**7/315 - 11*i**6/180 - 37*i**5/18 - 175*i**4/12 - 3*i**2 - 6*i + 14. Factor f(c).
2*c*(c - 21)*(c + 5)**2/3
Let b(u) be the second derivative of -5*u**4/12 + 4060*u**3/3 - 1648360*u**2 + 2*u + 1161. What is y in b(y) = 0?
812
Let q(u) be the first derivative of -u**5/5 - 11*u**4/2 + 88*u**3 - 229*u**2 + 217*u - 282. Factor q(s).
-(s - 7)*(s - 1)**2*(s + 31)
Let 3/4*m**3 - 9/2*m**4 + 18*m**2 + 0 + 3/4*m**5 - 15*m = 0. Calculate m.
-2, 0, 1, 2, 5
Suppose 9645506*v + 306 = 9645659*v. Solve -v + 5/3*l + 1/3*l**2 = 0.
-6, 1
Let n(i) = -6*i**2 + 692*i + 224. Let a(f) = 46*f**2 - 5535*f - 1798. Let o(d) = -4*a(d) - 33*n(d). Factor o(s).
2*(s - 50)*(7*s + 2)
Factor 52*p**2 + 55515*p - 55363*p + 2*p**2 - 30.
2*(p + 3)*(27*p - 5)
Let k = 1420698 - 9944874/7. Factor 0 + 20/7*r**2 + 4/7*r**5 - 36/7*r**3 + 0*r + k*r**4.
4*r**2*(r - 1)**2*(r + 5)/7
Let j(y) be the second derivative of 1/30*y**5 + 0*y**2 - 1/252*y**7 + 1/6*y**4 + 0 + 0*y**3 - 105*y - 1/60*y**6. Solve j(r) = 0 for r.
-3, -2, 0, 2
Let l(v) be the first derivative of 5*v**6/6 + 3*v**5 - 1611. Determine z so that l(z) = 0.
-3, 0
Let c(t) = 2*t**3 + 23*t**2 - 24*t. Let s be c(-13). Let r be 5 - s/55 - 8. Factor 0*l + 2/11*l**2 + 0 + 6/11*l**3 + r*l**4 + 2/11*l**5.
2*l**2*(l + 1)**3/11
Let a(i) = i**2 + 3*i - 8. Let c be 2 + (-75)/10 - (-2)/4. Let m be a(c). Suppose -24*w - 15*w**3 + 24*w + 10*w**4 + 5*w**m = 0. What is w?
0, 1/2, 1
Factor -114*g**2 + 38*g**2 + 28*g**5 + 76*g**2 - 376*g**3 - 1308*g**4.
4*g**3*(g - 47)*(7*g + 2)
Let v(w) = -10*w**3 - 4*w**2 + 14. Let t = -89 + 92. Let o(x) = 3 - 5*x**2 + 4*x**2 + 0*x**3 - 5*x**3 + t*x**3. Let c(i) = 28*o(i) - 6*v(i). Factor c(a).
4*a**2*(a - 1)
Let x = 880 + -867. Suppose 26 = x*w + 26. Determine q, given that w*q - 1/3*q**4 + 4/3*q**3 - 4/3*q**2 + 0 = 0.
0, 2
Let k(r) be the second derivative of 0*r**2 - 7/24*r**4 - 1/15*r**6 - 5*r + 29/40*r**5 + 0*r**3 + 0. Factor k(c).
-c**2*(c - 7)*(4*c - 1)/2
Let x be (-225)/315*28/(-10). Let 3/4*k**x - 9/2 + 3/4*k = 0. What is k?
-3, 2
Let s(w) be the first derivative of -245/6*w**6 - 940/3*w**3 - 23 - 273*w**5 - 1095/2*w**4 - 60*w**2 + 0*w. Determine x, given that s(x) = 0.
-3, -2, -2/7, 0
Let i be (-42)/(-16) + (-54)/168*14/(-12). Let g(n) be the third derivative of 4/9*n**4 + 64/9*n**3 - i*n**2 + 1/90*n**5 + 0*n + 0. Factor g(a).
2*(a + 8)**2/3
Solve 441*c**2 - 39*c - 1312*c**2 + 435*c**2 + 248 + 437*c**2 = 0 for c.
8, 31
Let d be (-5)/((-301)/(-258)*3/14). Let w be 18*(-7 + 6)*2/d. Factor 2/5*g**2 - w*g**3 + 0*g + 4/5*g**4 + 0.
g**2*(g - 2)*(4*g - 1)/5
Let b(u) be the third derivative of 1/315*u**7 + 0*u**3 + 1/45*u**6 + 0*u + 38*u**2 + 0 + 0*u**4 + 1/30*u**5. Find r such that b(r) = 0.
-3, -1, 0
Let c(t) be the second derivative of t**7/315 - 14*t**6/225 + 4*t**5/25 + t**4/45 - 5*t**3/9 + 4*t**2/5 + t + 126. Find a such that c(a) = 0.
-1, 1, 12
Let a(i) = 0*i + 7*i**2 - 24*i**3 + 3*i + 23*i**3 - 5. Let c be a(3). Factor c + 2524*