d derivative of k**7/21 + 239*k**6/5 + 84957*k**5/5 + 6479285*k**4/3 - 27472313*k**3 + 125977689*k**2 + k + 361. Factor f(v).
2*(v - 3)**2*(v + 241)**3
Let u be ((-2)/4)/(3/(-12)). Let a be (-310)/(-1550) - (538/(-10) - 1). Solve 74 - 50 + a*r - 15*r + 7*r**u - r**2 = 0.
-6, -2/3
Suppose 0 = x - 0 - 10. Suppose 5*o = -497 + 507. Factor -12*i - 24*i**2 + x*i**o + 16*i**2.
2*i*(i - 6)
Factor 130*n**3 - 270*n + 145*n**2 - 37*n**4 - 5*n**4 + 37*n**4.
-5*n*(n - 27)*(n - 1)*(n + 2)
Let u(v) = -1721*v**2 - 632*v + 24. Let w(o) = -693*o + 7 - 503*o**2 + 18 + 63*o - 1217*o**2. Let f(g) = -5*u(g) + 4*w(g). Factor f(p).
5*(5*p + 2)*(69*p - 2)
Let p = 9411 + -65869/7. Factor -8/7*n + p*n**3 - 2/7*n**2 + 0 + 2/7*n**4.
2*n*(n - 1)*(n + 1)*(n + 4)/7
Let u(m) be the first derivative of -m**4/17 + 2*m**3/17 + 2*m**2/17 - 1041. Factor u(o).
-2*o*(o - 2)*(2*o + 1)/17
Let l(d) = -7*d**2 + 3367*d + 10166. Let c be l(-3). Determine k, given that -134/7*k**3 + 8/7*k + 128/7*k**c + 0 + 34/7*k**4 = 0.
-1/17, 0, 2
Let f(x) be the second derivative of x**7/63 + 76*x**6/45 + 214*x**5/5 - 3040*x**4/9 + 6400*x**3/9 - 3*x - 6. Find t such that f(t) = 0.
-40, 0, 2
Determine d so that 0*d - 1/2*d**4 + 0*d**3 + 2*d**2 + 0 = 0.
-2, 0, 2
Let n(t) = -t**3 - 18*t**2 + 830*t + 4477. Let f be n(-5). What is c in 48/19 + 2/19*c**f + 28/19*c = 0?
-12, -2
Let w(j) = 13*j**2 - 7*j - 1534. Let f(a) = 2*a**2 - 3*a - 1. Let v(m) = 4*f(m) - w(m). Solve v(p) = 0 for p.
-18, 17
Let v be (-104)/(-28) + 20/70. Let s be v + (-6)/(-12 - -6) - 2. Let 1/2*z**s + 0 - z + 1/2*z**2 = 0. Calculate z.
-2, 0, 1
Let k(d) = 8*d**2 - 40*d. Let g = 1398 + -1410. Let s(m) = 3*m**2 - 12*m - 6*m + 2*m. Let o(r) = g*s(r) + 5*k(r). Determine l so that o(l) = 0.
0, 2
Let k(c) be the third derivative of -1/17*c**4 + 4/51*c**5 - 1/357*c**7 + 0*c**3 - 23/1020*c**6 + 167*c**2 + 0 + 0*c. Suppose k(t) = 0. What is t?
-6, 0, 2/5, 1
Let x = 33738 + -505747/15. Let m = 116/5 - x. Suppose m*r - 5/3*r**4 + 0 - 5/3*r**3 + 5/3*r**2 = 0. Calculate r.
-1, 0, 1
Let t = -1862 + 1326. Let i = 538 + t. Solve -4/7 + i*c**2 - 10/7*c = 0 for c.
-2/7, 1
Let s(p) = -30*p**3 - 3*p**2 - 2*p. Let z be s(-2). Let j be z/60 - (-4)/30. Find w, given that -45*w**3 + 51*w**4 + 9*w**j - 21*w**5 + 13*w**3 - 4*w**3 = 0.
0, 6/7, 2
Let f be -2 + 9 + (-4)/1. Factor -3*o**f - 15*o**2 - 5 + 771*o - 792*o - 4.
-3*(o + 1)**2*(o + 3)
Suppose -42*r + 199 = -1691. Let n be 459/r + -9 - (-1)/(-2). Factor 1/10*k**3 - n*k**2 + 8/5*k - 6/5.
(k - 3)*(k - 2)**2/10
Let c = 80589 - 80587. What is k in -2/7*k**c + 0 - 4/7*k**3 + 2/7*k = 0?
-1, 0, 1/2
Suppose 70 = 29*u + 331. Let f be (-35)/(-105) + (-2 - 15/u). Find l, given that -2/7*l**3 + 0*l + 2/7*l**5 + f - 4/7*l**4 + 4/7*l**2 = 0.
-1, 0, 1, 2
Let d(v) be the first derivative of -27/2*v**2 + 1/30*v**6 + 19/10*v**4 + 16/15*v**3 - 127 - 12/25*v**5 - 20*v. Suppose d(j) = 0. What is j?
-1, 4, 5
Let q(l) = -27*l**3 - 49*l**2 + 327*l - 251. Let k(y) = 5*y**3 + 10*y**2 - 65*y + 50. Let o(d) = 11*k(d) + 2*q(d). Factor o(r).
(r - 3)*(r - 1)*(r + 16)
Let l(i) be the first derivative of 30/23*i - 113 - 2/69*i**3 - 2/23*i**2. Solve l(t) = 0 for t.
-5, 3
Let x(t) be the first derivative of 27 + 18*t - 1/36*t**3 + 1/36*t**4 - 1/12*t**2. Let q(u) be the first derivative of x(u). Factor q(v).
(v - 1)*(2*v + 1)/6
Let i = -3/3254 + 3389/146430. Let y(h) be the second derivative of 1/6*h**4 + 0 + 1/9*h**3 + i*h**6 + 1/10*h**5 - 11*h + 0*h**2. Factor y(z).
2*z*(z + 1)**3/3
Suppose -2*n = 29 - 129. Let -100*f - 85*f**2 + n*f**2 + 40*f**2 + 500 = 0. Calculate f.
10
Let j(h) be the second derivative of -5*h**4/12 + 4355*h**3/3 - 3793205*h**2/2 - 3213*h. Factor j(f).
-5*(f - 871)**2
Determine v, given that 354/7*v - 354/7*v**3 + 10440/7*v**2 - 10443/7 + 3/7*v**4 = 0.
-1, 1, 59
Let m(y) be the first derivative of -2*y**5/5 + 21*y**4/2 - 136*y**3/3 + 904. Factor m(p).
-2*p**2*(p - 17)*(p - 4)
Let o(p) be the second derivative of -p**7/252 - 7*p**6/90 + 3*p**5/8 + 263*p**4/36 + 299*p**3/9 + 70*p**2 - 5*p - 740. Factor o(l).
-(l - 7)*(l + 2)**3*(l + 15)/6
Let a(s) be the second derivative of -3 - 14*s + 10/9*s**3 + 3*s**2 + 1/18*s**4. Factor a(i).
2*(i + 1)*(i + 9)/3
Suppose -3*k + 4*j = 11, -2*j - 3*j = -25. Suppose 14 = -k*m - 4*x, -m - 4*x + x - 13 = 0. Factor 28 + 2*b + 22*b - 2*b**m - 3*b**2 + b**2.
-4*(b - 7)*(b + 1)
Let -2*l**2 + 38*l + 2*l**3 + 23*l - 3*l**3 - 35*l - 9*l**2 = 0. What is l?
-13, 0, 2
Let q = 193947 - 193944. Factor -4*z**2 - 8/3*z + 16/3 + 2/3*z**4 + 2/3*z**q.
2*(z - 2)*(z - 1)*(z + 2)**2/3
Suppose 3*r = -5*w, -5*w = 2*r - 3 - 2. Factor -4 + 4 - 12*o**3 + 23*o**w - 15*o - 14*o**3 + 18*o**2.
-3*o*(o - 5)*(o - 1)
Suppose 5*f + 6*g = g + 185, 5*f - 3*g = 185. Factor 11*h**2 + 15*h**2 - f*h + 34 + h - 24*h**2.
2*(h - 17)*(h - 1)
Let c(b) = -b**2 + 8. Let o be c(6). Let q be (-4)/(-49)*o/(-8). Solve -8/7*j**2 - q + 8/7*j - 4/7*j**5 - 4/7*j**3 + 10/7*j**4 = 0.
-1, 1/2, 1
Let a(i) be the first derivative of i**5/25 + 3*i**4/20 - 3*i**3/5 - 27*i**2/10 + 1105. Factor a(p).
p*(p - 3)*(p + 3)**2/5
Let c be (4 + -3 + -3)/(4/(-6)). Let -6*z**2 - c - 8*z**2 + 58*z - 4*z**2 - 9 = 0. What is z?
2/9, 3
Let j be 113/(-3) + (-1)/3. Let l = 76 + j. Let -q - 7*q + l*q**2 - 40*q**2 = 0. What is q?
-4, 0
Let c(p) be the second derivative of -p**5/110 + 35*p**4/33 - 131*p**3/11 + 576*p**2/11 + 7*p + 20. Factor c(n).
-2*(n - 64)*(n - 3)**2/11
Suppose -q - 3*i = -5*q - 7, 0 = -5*q + 2*i. Factor -2*n**2 + 16*n**2 + 42*n - 2*n**3 + 26*n**q.
-2*n*(n - 21)*(n + 1)
Let o(k) = -107103779*k**2 - 101313*k - 82. Let c(y) = 35701260*y**2 + 33770*y + 28. Let z(n) = -58*c(n) - 20*o(n). Let z(h) = 0. What is h?
-2/4225
Let r = -77/47 + 355/188. Let k(f) be the third derivative of 0 + 1/48*f**4 + 0*f - 4*f**2 - 1/30*f**5 + r*f**3. Factor k(u).
-(u - 1)*(4*u + 3)/2
Let m(o) be the first derivative of 0*o - 1/10*o**6 + 4/5*o**3 + 6*o**2 - 101 - 9/4*o**4 - 24/25*o**5. Suppose m(l) = 0. Calculate l.
-5, -2, 0, 1
Factor -107/8*p**2 + 1/8*p**3 - 109/8 - 217/8*p.
(p - 109)*(p + 1)**2/8
Suppose 4*h + 3*z - 43 = 0, 3*z + 29 = 2*h + 6*z. Suppose 0 = -h*k + 34 - 20. Factor 2*f + 2/3*f**3 - 2*f**k - 2/3.
2*(f - 1)**3/3
Let q = -11782 - -82150/7. Let z = q - -655/14. Factor z*t**2 - 3/2 - t.
(t - 3)*(t + 1)/2
Suppose -2*w = 6*j + 138, w - 26 = -2*j - 72. Factor -2/5*k**2 + 14/5*k + w.
-2*k*(k - 7)/5
Factor -1512/5*r**2 - 152*r**3 - 2/5*r**4 + 0*r + 0.
-2*r**2*(r + 2)*(r + 378)/5
What is g in -5*g**3 + 1500*g**2 - 12 - 23 + 1 + 155*g - 1540*g**2 - 76 = 0?
-11, 1, 2
Let d be 16 + 170/51 + -15 - 28/12. Factor 8/5 - 9/5*x + 1/5*x**d.
(x - 8)*(x - 1)/5
Let j be ((-150)/(-18))/((-2)/(-12)). Let z = -47 + j. Factor 15*t**2 - 20*t - 31*t**2 + 4*t - 4*t**z.
-4*t*(t + 2)**2
Let w = 9887/18074 + 63/2582. Factor -w*r**2 + 5/7*r - 2/7 + 1/7*r**3.
(r - 2)*(r - 1)**2/7
Let p(z) = 75*z**3 + 2800*z**2 + 8260*z - 11395. Let x(y) = -8*y**3 - 300*y**2 - 885*y + 1221. Let m(t) = -7*p(t) - 65*x(t). Factor m(h).
-5*(h - 1)*(h + 5)*(h + 16)
Let d(c) be the third derivative of c**8/112 + c**7/14 - 9*c**6/40 - 49*c**5/20 - c**4 + 30*c**3 + 2*c**2 + 57*c + 4. Determine i, given that d(i) = 0.
-5, -2, 1, 3
Let q = -58 + 166. What is l in 32*l - 16*l - 36*l**2 + 200*l - 36*l**2 + 4*l**3 + q*l = 0?
0, 9
Let x be 1*(-3 + 3)/(-4). Suppose -5*n + 10 = -x*n. Factor n*g**3 + 0*g**4 - 2*g - 39*g**2 - 2*g**4 + 41*g**2.
-2*g*(g - 1)**2*(g + 1)
Factor -12/13*k**2 + 50/13*k**3 + 0 + 18/13*k**4 + 0*k.
2*k**2*(k + 3)*(9*k - 2)/13
Factor 102*q**2 + 1/3*q**3 - 96100/3 + 7595*q.
(q - 4)*(q + 155)**2/3
Let t(r) be the first derivative of 2*r**5/35 + 505*r**4/14 + 8112*r**3 + 689472*r**2 + 1354752*r + 108. What is p in t(p) = 0?
-168, -1
Let x(b) be the second derivative of 2*b**6/45 + 3*b**5/5 + 5*b**4/3 - 50*b**3/9 + 596*b. Solve x(f) = 0.
-5, 0, 1
Suppose 2*z + 5*j = -35, 5*z - 133 = 60*j - 41*j. Factor z + 6*r**3 - 9/2*r**2 + 3/2*r**4 - 27*r.
3*r*(r - 2)*(r + 3)**2/2
Suppose -361*j**2 - 59*j**2 - 369*j**2 + 88209*j - 102*j**2 + 0*j**3 - 2910897 + 3*j**3 = 0. What is j?
99
Let m be (1631/84 - 19)*14. Let y(d) be the third derivative of m*d**3 - 3*d**2 + 0 - 1/12*d**5 + 0*d - 5/4*d**4. Suppose y(v) = 0. Calculate v.
-7, 1
Suppose -9*x = -14*x - 315. Let l = -54 - x. Find z, given that l*z**2 - 3*z**3 + 10*z