 + 3*b**4/2 - 210*b - 52. Let f(j) be the first derivative of t(j). Suppose f(d) = 0. Calculate d.
-3, 0, 2
Let a = -16 + 19. Suppose -a*m - 8*s + 9 = -4*s, 3*m - 5*s - 9 = 0. Factor 7*b - b - 3*b**4 - 6*b**m + 91*b**2 - 88*b**2.
-3*b*(b - 1)*(b + 1)*(b + 2)
Let w = -1702 + 1723. Let z be 0/((-18)/(-24) - w/12). Factor 0 + 2/9*c + 2/9*c**5 - 4/9*c**3 + 0*c**2 + z*c**4.
2*c*(c - 1)**2*(c + 1)**2/9
Suppose 5*l + 23 = t, -49*l + 65 = -5*t + 252. Solve -t - 2/3*b**2 + 26/3*b = 0 for b.
1, 12
Let v be (-254)/(-1651) + -28*(-12)/520. Let s(z) be the first derivative of -6*z**2 + 0*z - 5*z**4 - v*z**5 - 15 - 28/3*z**3. Factor s(q).
-4*q*(q + 1)**2*(q + 3)
Let j(a) be the first derivative of -a**6/18 + a**5/15 + a**4/12 - a**3/9 + 1193. Factor j(d).
-d**2*(d - 1)**2*(d + 1)/3
What is a in 13*a**2 + 9*a**2 + 32258 - 16*a**2 - 4*a**2 + 508*a = 0?
-127
Let z(f) be the third derivative of -f**7/70 + 17*f**6/40 - 27*f**5/20 - 45*f**4/8 + 182*f**2 - 5*f. What is a in z(a) = 0?
-1, 0, 3, 15
Let p(m) = 2*m**2 - 34*m + 163. Let f be p(8). Let a(x) = 3*x**3 - 55*x**2 - 38*x + 4. Let o be a(f). Factor 0 + 0*t**3 + 3/2*t**o - 3*t - 9/2*t**2.
3*t*(t - 2)*(t + 1)**2/2
Let g(u) be the second derivative of u**5/30 + 5*u**4/18 - 17*u**3/9 - 7*u**2 + 4*u - 159. Factor g(f).
2*(f - 3)*(f + 1)*(f + 7)/3
Let q = -1008534/7 - -144385. Let i = 309 - q. Let -i*v**2 - 50/7 + 20/7*v = 0. Calculate v.
5
Let q = -139945 + 139947. Let 5/2*a - 1/2 + 3*a**q = 0. Calculate a.
-1, 1/6
Let y be 1021312/(-336224) + 44/14. Factor 72/19*u - 648/19 - y*u**2.
-2*(u - 18)**2/19
Suppose 0 = -11*m + 6*m + 95. Suppose -5*v + 4*v + 5 = 0, -2*j + m = -v. Factor y**5 - y**3 + 4*y**2 + j*y**2 - 16*y**2.
y**3*(y - 1)*(y + 1)
Let u be 2 - -2 - (2 - 1). Let t = 6 - 4. Factor -j + 20*j**4 - 42*j**5 + 34*j**5 - 17*j**u - 4*j**t + 5*j**3 + 5*j.
-4*j*(j - 1)**3*(2*j + 1)
Let w be (-15)/(50 - (-3190)/(-58)). Let -61/6*g - 1/6*g**w + 5 + 16/3*g**2 = 0. Calculate g.
1, 30
Let c = 115435 + -808042/7. Factor 3*f**2 + 15/7*f - 225/7 - c*f**3.
-3*(f - 5)**2*(f + 3)/7
Let x(p) be the third derivative of p**8/672 - 17*p**7/420 + 91*p**6/240 - 49*p**5/40 + 52*p**2 + 12. What is f in x(f) = 0?
0, 3, 7
Let n = 1681 - 1673. Suppose 0 = 13*i - 9*i - 16, -2*d - n = -2*i. Factor 1/2*v**3 + 0*v + d + 0*v**2.
v**3/2
Let w = -1472 - -1518. Let r be 117/(-26)*(w/(-30) + 1). Suppose r*d + 6/5*d**2 - 3/5*d**3 - 24/5 = 0. What is d?
-2, 2
Let z(y) be the first derivative of -5*y**3/3 - 1835*y**2/2 + 141. Find l, given that z(l) = 0.
-367, 0
Let i = -2/553 + 634/553. Let o = 157498 - 1102429/7. Find h, given that -o*h**3 + i + 11/7*h**4 + 14*h**2 - 60/7*h = 0.
2/11, 1, 2
Let p = -1389 - -1386. Let o be ((-138)/(-92))/(2 - (-4)/p). Factor 1/4*d**2 - o*d**3 + 6*d**4 - 4*d**5 + 0 + 0*d.
-d**2*(d - 1)*(4*d - 1)**2/4
Let p = 1730083/160 - 10813. Let i(a) be the third derivative of 0*a**3 - 1/40*a**5 + 0*a**4 + 0*a - 1/280*a**7 + 0 - p*a**6 - 50*a**2. Factor i(w).
-3*w**2*(w + 1)*(w + 2)/4
Let j(c) be the second derivative of c**5/12 - 5*c**4/6 + 10*c**3/3 + 45*c**2/2 - c - 1. Let n(k) be the first derivative of j(k). Factor n(o).
5*(o - 2)**2
Factor -73/2*i**2 + 0 - 1/2*i.
-i*(73*i + 1)/2
Let i(k) = -k**3 + 45*k**2 + 244*k - 27. Let o be i(-5). Let j(g) be the second derivative of -5/144*g**4 + 0 - 13/72*g**o + 6*g + 1/4*g**2. Solve j(a) = 0.
-3, 2/5
Let v(h) be the second derivative of -h**4/18 + 174*h**3 - 204363*h**2 + 56*h + 5. Factor v(q).
-2*(q - 783)**2/3
Let p(i) be the third derivative of i**5/15 - 96*i**3 - 49*i**2 + 3. Factor p(u).
4*(u - 12)*(u + 12)
Let u be ((-4)/(-16) - 12/16)*(-167 + 163). What is o in 6*o**u + 8/3 + 8*o = 0?
-2/3
Suppose -231 = 2*j - 1671. Suppose 10*g**3 + 14*g**4 + j - 12*g**4 - 115*g**2 + 3*g**4 - 120*g = 0. Calculate g.
-4, 3
Suppose -158 = 24083*m - 24162*m. What is r in -5/4*r**3 - m*r + 0 + 11/2*r**2 = 0?
0, 2/5, 4
Let o(n) be the third derivative of n**5/120 + 53*n**4/8 - 319*n**3/12 - 456*n**2. Factor o(t).
(t - 1)*(t + 319)/2
Factor 1/2*w**2 + 136242 + 522*w.
(w + 522)**2/2
Let f(d) be the first derivative of d**6/1800 + d**5/40 + 3*d**4/10 + 23*d**3/3 + 58. Let s(u) be the third derivative of f(u). Factor s(z).
(z + 3)*(z + 12)/5
Suppose 0 = -6*w + 29 - 59. Let s(a) = 72*a**2 + 910*a - 203. Let t(y) = 36*y**2 + 454*y - 101. Let x(h) = w*t(h) + 3*s(h). Factor x(m).
4*(m + 13)*(9*m - 2)
Suppose -1224*j - 1248*j + 751*j + 4094 = 326*j. Factor 2/7*k**2 - j*k - 16/7.
2*(k - 8)*(k + 1)/7
Suppose 0 = -4*x - q + 104 + 80, -4*q = 5*x - 219. Suppose 16 = 2*t + x*s - 42*s, -8 = -4*s. Factor 21/4*v**4 + 3/4*v - 9/4*v**5 - 5/2*v**t + 1/4 - 3/2*v**2.
-(v - 1)**3*(3*v + 1)**2/4
Factor -1866/7*i**2 + 0 - 1868/7*i + 2/7*i**3.
2*i*(i - 934)*(i + 1)/7
Let q(y) be the third derivative of -y**8/84 + 4*y**7/35 - y**6/30 - 8*y**5/5 - 8*y**4/3 - 6887*y**2. Factor q(f).
-4*f*(f - 4)**2*(f + 1)**2
Suppose 4*f - 25 = -5*m, 0 = 2*m + 4*f + 137 - 135. Factor -m*i**3 - 18 + 27/2*i**2 + 6*i + 3/2*i**4.
3*(i - 3)*(i - 2)**2*(i + 1)/2
Let g(x) be the second derivative of -1369*x**4/4 + 74*x**3 - 6*x**2 + 362*x. Let g(c) = 0. Calculate c.
2/37
Suppose -5*t + 2*u + 16 = 90, 2*t + 4*u = -20. Let s be t/(-3) - (-50 + 54). Factor -2*d + 2/3 + 2*d**2 - s*d**3.
-2*(d - 1)**3/3
Let c(f) = 5*f**4 - 450*f**3 + 3915*f**2 - 8995*f - 5. Let a(g) = -3*g**4 + 226*g**3 - 1951*g**2 + 4498*g + 2. Let n(z) = -5*a(z) - 2*c(z). Factor n(m).
5*m*(m - 36)*(m - 5)**2
Suppose -5*h - 2*m = -4*h - 6, -2*m = 2*h - 22. Suppose -16*c**3 + 4*c**4 + 17584 - 17584 + h*c**2 = 0. What is c?
0, 2
Solve 1/2*f**3 - 22*f**2 + 22 - 1/2*f = 0 for f.
-1, 1, 44
Factor -2*v**2 + 8*v**3 - 32*v + 1/2*v**4 + 0.
v*(v - 2)*(v + 2)*(v + 16)/2
Suppose o = 5*k - 166, 7*k - 3*o = 4*k + 90. Factor s - s**4 - k*s**2 + 31*s**2 - 2*s - 2*s**3 - s**3.
-s*(s + 1)**3
Let i = -5010 - -5014. Let o(p) be the second derivative of -20*p + 0 + 1/21*p**i - 2/21*p**3 - 2/105*p**6 + 0*p**2 + 1/35*p**5. Factor o(g).
-4*g*(g - 1)**2*(g + 1)/7
Let q(o) be the first derivative of -1/2*o**4 + 2/15*o**5 + 0*o - 156 + 0*o**3 + 4/3*o**2. Let q(w) = 0. Calculate w.
-1, 0, 2
Let c(h) be the first derivative of h**5/5 + 17*h**4/3 - 74*h**3/3 + 38*h**2 - 122*h - 16. Let n(u) be the first derivative of c(u). Let n(y) = 0. What is y?
-19, 1
Let o(h) be the third derivative of 9*h**8/112 + 1473*h**7/70 + 79699*h**6/40 + 277827*h**5/4 - 245025*h**4 + 332750*h**3 - 997*h**2. Let o(w) = 0. Calculate w.
-55, 2/3
Let b(l) be the first derivative of 92 + 1/3*l**3 + 19*l + 10*l**2. Factor b(f).
(f + 1)*(f + 19)
Let 106*v**3 + 65*v**3 - 170*v**3 + 8*v**2 - 110*v - 18*v = 0. Calculate v.
-16, 0, 8
Let h(t) be the third derivative of t**8/60480 + t**7/6048 + t**6/1440 - 11*t**5/15 - 7*t**2 - 6*t. Let n(p) be the third derivative of h(p). Factor n(m).
(m + 1)*(2*m + 3)/6
Factor -1 + m**4 - 99407*m**2 + 100*m**3 + 1 + 99802*m**2 + 4*m**4 + 300*m.
5*m*(m + 1)*(m + 4)*(m + 15)
Let x be 1/(-9) + 43 + (-110000)/3465. Determine v so that 0*v + x*v**3 + 3/7*v**4 + 0 + 507/7*v**2 = 0.
-13, 0
Let x = -650 + 656. What is m in x*m**4 - 10*m**3 + 0*m**3 + 0*m**3 + 7*m**3 - 3*m**4 = 0?
0, 1
Let x be (-2)/4*30/(-3). Let i(n) = -n**3 + 23*n**2 - n + 27. Let y be i(23). What is a in 11*a**3 + a**x - 8*a**3 + 6*a**y + 6*a**3 = 0?
-3, 0
Let w(i) = -i**2 - i - 16. Let l be w(7). Let r = -70 - l. Factor -3*d**3 + 2 - 2*d**r + d - 3*d + 5*d**3.
2*(d - 1)**2*(d + 1)
Let z(d) be the first derivative of 1/8*d**4 - 108 - 5/4*d**2 - 1/10*d**5 + d + 1/2*d**3. Factor z(u).
-(u - 1)**3*(u + 2)/2
Let y = -1277 + 1297. Let k be (-20 + y)/(2 + 0/2). Factor -2/3*n**5 + 4/3*n**2 - 4/3*n**4 + 2/3*n + k*n**3 + 0.
-2*n*(n - 1)*(n + 1)**3/3
Let i(w) be the first derivative of -44*w - 54 - 1/3*w**3 - 12*w**2. Factor i(l).
-(l + 2)*(l + 22)
Let k = -53 + 55. Factor 0 - 2*s + 3*s - 4 + 6 - s**k.
-(s - 2)*(s + 1)
Find j such that -105 + 7817/2*j**2 + 34*j**5 + 4221/2*j**3 - 2507/2*j**4 + 811/2*j = 0.
-1, -1/4, 2/17, 3, 35
Let j(w) = w**3 - 6*w**2 - 17*w + 26. Let v be j(8). Let -9*s**2 + v*s - s**4 + 180*s**3 - 370*s**3 + 182*s**3 = 0. What is s?
-6, -3, 0, 1
Let 151/5*v + 4/5*v**3 - 67/5*v**2 + 42/5 = 0. Calculate v.
-1/4, 3, 14
Suppose l = 5*n + 112, n - 344 = -4*l + 104. Let a be 96/256 + 54/l. Find x such that 3/7*x**4 + 0*x**2 - a*x + 6/7*x**3 -