+ 0*j**s + 1/4*j**3 + 22*j + 1/2*j**2 - 1/40*j**5. Factor w(y).
-(y - 2)*(y + 1)**2/2
Let j(c) be the first derivative of 32/5*c**3 + 3/10*c**4 - 1/10*c**6 - 3/10*c**2 - 62 - 48/5*c - 48/25*c**5. Solve j(u) = 0.
-16, -1, 1
Let y = -81697/5 + 16340. Let f(h) be the first derivative of 3/2*h**4 + 14 - 3*h**2 + h**3 - y*h**5 + 0*h. Suppose f(t) = 0. Calculate t.
-1, 0, 1, 2
Suppose 0 = 4*g - 55 + 43. Let h be 3 - (6/g + -1). Factor -4*i**3 + 0*i**h - 3*i + i**2 + 7*i - 5*i**2 + 4*i**4.
4*i*(i - 1)**2*(i + 1)
Let l be -173*(-1)/(-88) + (1 - -1). Let z = l + 239/88. Factor 9/4*r**2 + 1/2 - z*r.
(r - 1)*(9*r - 2)/4
Let m be (66/(-99))/((-70)/(-2016)) - -22. Factor -m*t**2 - 96/5 - 1/5*t**3 - 64/5*t.
-(t + 4)**2*(t + 6)/5
Factor 3/2*x**2 + 1026*x + 2046.
3*(x + 2)*(x + 682)/2
Let s(v) be the second derivative of v**6/75 - 6*v**5/25 + 47*v**4/30 - 24*v**3/5 + 36*v**2/5 - 52*v + 2. Determine x, given that s(x) = 0.
1, 2, 3, 6
Let k(w) be the second derivative of -w**5/240 + w**4/24 - w**3/8 - 91*w**2/2 - 6*w - 3. Let p(f) be the first derivative of k(f). Factor p(n).
-(n - 3)*(n - 1)/4
Let i = 172277/20 + -8611. Let q(j) be the second derivative of -6*j**2 - 7/10*j**6 + 8*j**3 - 11*j + 0 - 25/4*j**4 + i*j**5 + 1/14*j**7. Factor q(w).
3*(w - 2)**2*(w - 1)**3
Suppose 0 = -2*w + u + 5, 2*w = 18*u - 20*u + 14. Factor 0*p**2 + 0*p + 2/5*p**5 + 2/5*p**3 + 0 - 4/5*p**w.
2*p**3*(p - 1)**2/5
Suppose -33*q - 2106 = -40*q - 74*q. Let b(z) be the first derivative of -q - 8/3*z**2 - 2/9*z**3 - 14/3*z. Factor b(r).
-2*(r + 1)*(r + 7)/3
Let r(q) = -7*q - 11. Let i be r(-12). Factor -i*p - 14*p + 5*p**2 - 8*p.
5*p*(p - 19)
Let k(u) be the third derivative of -17/24*u**4 + 0 - 1/120*u**6 - 1/6*u**5 + 0*u - 120*u**2 - 4/3*u**3. What is d in k(d) = 0?
-8, -1
Let h(i) be the third derivative of i**7/70 + 29*i**6/160 - 13*i**5/80 - 305*i**4/32 - 75*i**3/8 + 61*i**2 - 12. What is v in h(v) = 0?
-5, -1/4, 3
Let t(f) be the second derivative of -f**6/360 + 17*f**5/120 + 3*f**4/4 - 65*f**3/2 - 148*f. Let d(y) be the second derivative of t(y). Factor d(v).
-(v - 18)*(v + 1)
Let r(n) be the first derivative of -1/6*n**6 - 3/10*n**5 - 5/2*n**3 + 2*n**4 + 0*n + n**2 + 87. Solve r(t) = 0.
-4, 0, 1/2, 1
Let h(a) be the third derivative of a**6/180 + a**5/45 - 91*a**4/36 + 88*a**3/9 + 1457*a**2. Factor h(s).
2*(s - 8)*(s - 1)*(s + 11)/3
Let s(o) = o**3 + 8*o**2 + 10*o - 10. Let b be s(-6). Factor -3600 + 105*y - 46*y**b + 42*y**2 + 135*y.
-4*(y - 30)**2
Let l(s) be the first derivative of -s**4/14 + 104*s**3/21 + 53*s**2/7 - 4349. Factor l(p).
-2*p*(p - 53)*(p + 1)/7
Suppose 2/3*d**2 + 63 - 4*d**3 + 68*d + 1/3*d**4 = 0. Calculate d.
-3, -1, 7, 9
Let l(n) be the second derivative of n**6/120 - 31*n**5/80 - 43*n**4/8 - 40*n**3/3 + 76*n**2 - 14*n + 91. Factor l(u).
(u - 38)*(u - 1)*(u + 4)**2/4
Let w(q) = -2*q**2 - 82*q + 2. Let j be w(-41). Solve 179*z - 281*z - j - 26 - 14*z**2 = 0 for z.
-7, -2/7
Let s = -1355 - -2246. Let c = 11585/13 - s. Factor -12/13*i**2 - 12/13 + 22/13*i + c*i**3.
2*(i - 3)*(i - 2)*(i - 1)/13
Solve -2*v**2 - 45350*v - 42159*v - 10913792 + 96853*v = 0 for v.
2336
Let f(o) be the third derivative of 0 - 49/390*o**5 - 93*o**2 + 0*o - 4*o**4 - 1/780*o**6 - 192/13*o**3. Factor f(d).
-2*(d + 1)*(d + 24)**2/13
Factor -t**2 - 15*t - 4*t**2 - 990246 + 990236.
-5*(t + 1)*(t + 2)
Suppose 4*u = 3*l + 26, 0 = 4*l + 3*u + u + 16. Let i be (-80)/l*(-456)/(-2090). Suppose 14/11*h**4 - i*h**3 + 0*h + 0 + 8/11*h**2 = 0. What is h?
0, 2/7, 2
Let a(j) be the first derivative of -3*j**5/5 + 45*j**4/4 - 38*j**3 + 36*j**2 + 798. Factor a(q).
-3*q*(q - 12)*(q - 2)*(q - 1)
Factor 50*g + 69*g + 2*g**2 + 218*g + 185*g - 1052.
2*(g - 2)*(g + 263)
Let s(h) be the second derivative of h**7/8 + 391*h**6/20 + 3801*h**5/80 - 1447*h**4/4 + 1153*h**3/2 - 330*h**2 - 14393*h. Find k, given that s(k) = 0.
-110, -4, 2/7, 1
Factor -290 - 185*g**2 - 201*g + 95 - 24*g + 5*g**3 - 160*g.
5*(g - 39)*(g + 1)**2
Let w(o) = -30*o**2 + 17*o + 57. Let d be w(-5). Let l = d - -781. Factor 0 + 0*u**4 + 2/5*u**5 + 0*u**2 - 4/5*u**l + 2/5*u.
2*u*(u - 1)**2*(u + 1)**2/5
Let h be (2 + (-52)/6)*((-171)/76)/3. Find g, given that 3/7*g**h + 0*g + 0*g**2 + 12/7*g**3 - 12/7*g**4 + 0 = 0.
0, 2
Suppose 3*n = 4*s - 19, 5*s + 3 - 21 = -2*n. Suppose 0 = 14*b - 16*b + s. Factor -9*h + 24*h**2 - 49*h**b + 22*h**2.
-3*h*(h + 3)
Let j(l) be the first derivative of -l**3/15 + 111*l**2/10 - 202*l - 8735. Factor j(v).
-(v - 101)*(v - 10)/5
Let o = -66327 - -66329. Factor 6/5*h**3 + 148/5*h**o + 192*h + 576/5.
2*(h + 12)**2*(3*h + 2)/5
Let u(c) be the first derivative of -c**6/24 - c**5/2 + 29*c**4/16 + 9*c**3/2 - 9*c**2 - 284. Determine y so that u(y) = 0.
-12, -2, 0, 1, 3
Let b(a) be the first derivative of -a**4/16 - 533*a**3/6 - 35644*a**2 - 141512*a + 1443. Factor b(w).
-(w + 2)*(w + 532)**2/4
Factor 12/13 + 38/13*s - 14/13*s**2.
-2*(s - 3)*(7*s + 2)/13
Let s(j) = j**4 + 130*j**3 - 126*j**2 + 40*j - 5. Let g(i) = -i**4 - 130*i**3 + 125*i**2 - 48*i + 6. Let x(w) = 5*g(w) + 6*s(w). Solve x(t) = 0.
-131, 0, 1
Let i(n) be the second derivative of -11*n**7/56 + 7*n**6/8 - 117*n**5/80 + 17*n**4/16 - n**3/4 + 1925*n. Factor i(f).
-3*f*(f - 1)**3*(11*f - 2)/4
Let b be (726/(-2475)*5)/((-3)/9). Suppose 0 - 2/5*n**2 - b*n = 0. What is n?
-11, 0
Let y(s) = -12*s**2 + 871*s - 15566. Let k(w) = 4*w**2 - 290*w + 5188. Let d(q) = 7*k(q) + 2*y(q). Suppose d(l) = 0. What is l?
36
Let l(o) be the first derivative of o**6/6 + o**5 - 5*o**4/4 - 25*o**3/3 + 20*o**2 + 38*o + 51. Let s(x) be the first derivative of l(x). Factor s(w).
5*(w - 1)**2*(w + 2)*(w + 4)
Let o be 125/(-15)*3/(-5)*1. Suppose -7*x + 5*x + 11 = -3*y, -o*x = y - 19. Let -2/5*i**2 + 4/5*i**3 + 4/5*i**x - 2/5 - i + 1/5*i**5 = 0. Calculate i.
-2, -1, 1
Let p(x) be the second derivative of x**4/54 + 8*x**3/3 - 304*x**2/9 + 16*x. Factor p(u).
2*(u - 4)*(u + 76)/9
Let w be 12*(7/35)/(8/10). Find i, given that 5*i**w - 8*i**3 + 3*i + 3 + i**2 - i**2 - 3*i**2 = 0.
-1, 1
Let a(o) = -2*o + 17. Let j be a(-5). Factor j*t + 23*t - 4*t**2 - 76*t - t**3 + 21*t - 2.
-(t + 1)**2*(t + 2)
Suppose 11*v + 254 + 65 = 0. Let j be 86/1290 + v/(-15). Factor 0*k - 6 + 3/2*k**j.
3*(k - 2)*(k + 2)/2
Suppose 273*d - 266*d - 35 = 0. Suppose -d*l + 10 = -4*n, 83*n = 87*n. Find k, given that 0 + 0*k**l + 0*k - 2/3*k**3 = 0.
0
Factor 3/8*f**3 + 9 - 27/8*f**2 + 21/4*f.
3*(f - 6)*(f - 4)*(f + 1)/8
Let c(q) be the first derivative of -q**4/3 + 316*q**3/9 - 298*q**2 + 876*q + 383. Factor c(k).
-4*(k - 73)*(k - 3)**2/3
Let r be (-3)/(39/(-65))*((-344)/40 + 9). Suppose k - 4*d = 18, 5*d = -k - 3*k - 12. Solve k*i + 1/7*i**r + 7 = 0.
-7
Suppose 0 = 3*r + 26 - 8, 0 = -2*a + 2*r + 22. Let s(o) be the third derivative of 0*o**3 - 1/75*o**a + 16*o**2 + 0*o - 1/300*o**6 + 0*o**4 + 0. Factor s(z).
-2*z**2*(z + 2)/5
Factor -62*v**2 - v**3 - 110*v**2 + 81*v**2 - 224*v - 56*v**2 - 75 + 3*v**3.
(v - 75)*(v + 1)*(2*v + 1)
Let m(y) be the first derivative of y**6/120 - 7*y**5/30 - 17*y**4/24 + 5*y**3 - 103*y**2/2 + 186. Let n(f) be the second derivative of m(f). Factor n(l).
(l - 15)*(l - 1)*(l + 2)
Let x(u) be the third derivative of -u**8/2520 + 13*u**7/1575 - 16*u**6/225 + 76*u**5/225 - 44*u**4/45 + 16*u**3/9 + 91*u**2. Factor x(r).
-2*(r - 5)*(r - 2)**4/15
Suppose 332 = 10*a + 602. Let c be 18/a + (-220)/(-150). Let 6/5 - c*g**2 - 8/5*g**3 + 8/5*g - 2/5*g**4 = 0. What is g?
-3, -1, 1
Let q be ((-48)/8 + 8)*(-5 - -6). What is n in -3/5*n**3 - 24/5 - 3/5*n**5 + 39/5*n**q + 6/5*n - 3*n**4 = 0?
-4, -2, -1, 1
Let a(r) = -197*r - 61. Let f be a(-3). Find w such that 56*w + 52*w**2 - f - 536 + 1078 - 24*w**3 = 0.
-1/2, -1/3, 3
Let c be 23/35 + -30 + (-3926)/(-130). Factor -8/7*j**2 + 36/7 - 2/7*j**3 + c*j.
-2*(j - 2)*(j + 3)**2/7
Suppose -4*p + 19*a + 5 = 24*a, -p + 5 = 5*a. Let v be ((-4)/12)/((-1)/9). Factor 0 + p*o**2 + 2/3*o**4 + 0*o - 2/3*o**5 + 4/3*o**v.
-2*o**3*(o - 2)*(o + 1)/3
Let w = 16448 - 16444. Let o(j) be the first derivative of 2/9*j**6 + w*j + 6*j**4 + 88/9*j**3 + 26/3*j**2 + 27 + 28/15*j**5. Factor o(f).
4*(f + 1)**4*(f + 3)/3
Let o(v) be the first derivative of v**3 - 27*v**2/2 + 564. Factor o(n).
3*n*(n - 9)
Let i be 5 - 4 - 0 - 6 - -8. Factor -9*d**2 - 91 + 5*d**i - 4*d**3 - 106*d**2 + 600*d + 4*d**3 + 811.
