160. Let y(h) be the second derivative of 3/40*h**5 + 0*h**2 + 1/2*h**3 + 5*h + l*h**4 + 0. Let y(i) = 0. Calculate i.
-2, -1, 0
Let m be 52/(-364) - (8/(-105))/((-5180)/399 - -13). Suppose -6/5*v**5 + 21/5*v**2 - 12/5*v**3 - m*v**4 + 18/5*v + 0 = 0. Calculate v.
-2, -3/2, -1, 0, 1
Determine o so that 2*o**3 + 303*o + 46*o**2 + 2*o**3 + 2*o**3 - 18*o**3 + 11*o**3 + 468 = 0.
-3, 52
Let x(z) = -62*z**3 + 10*z**2 + 10*z - 10. Let w be x(9). Let l be w/(-33) - (-1)/3. Factor -3*h - 4*h**5 - l*h**3 + h**5 + 1349*h**3.
-3*h*(h - 1)**2*(h + 1)**2
Let t(j) be the second derivative of -j**6/105 + 1373*j**5/70 - 457*j**4/14 - 1373*j**3/21 + 196*j**2 - 4690*j. Suppose t(p) = 0. What is p?
-1, 1, 1372
Let j(s) = -s**2 - 3394*s + 2. Let h be j(0). Factor -4131/5*g + 1458/5 - 137/5*g**3 + g**4 + 1269/5*g**h.
(g - 9)**3*(5*g - 2)/5
Let y(k) be the first derivative of -2*k**3/3 + 403*k**2 + 808*k + 2011. Determine r, given that y(r) = 0.
-1, 404
Let p(o) = -o**4 + o**3 + o**2 + 2. Let b(n) = -5*n**4 - 51*n**3 - 992*n**2 - 6556*n - 13544. Let s(f) = 3*b(f) - 12*p(f). Factor s(r).
-3*(r + 4)*(r + 7)*(r + 22)**2
Solve 57 - 231/4*v**3 - 685/4*v + 1/4*v**4 + 687/4*v**2 = 0 for v.
1, 228
Let z be (-77284)/(-14025) - 148/814. Let k = z - -2/425. Solve k*i + 2/3*i**3 - 10/3*i**2 - 8/3 = 0.
1, 2
Let c(l) be the first derivative of -l**4/12 + 32*l**3/9 + 223*l**2/6 + 190*l/3 - 421. Factor c(m).
-(m - 38)*(m + 1)*(m + 5)/3
Let g(x) be the first derivative of 1/4*x**4 - 27 - 1/20*x**5 - 1/2*x**3 + 0*x - 10*x**2. Let s(p) be the second derivative of g(p). What is b in s(b) = 0?
1
Suppose 3/5*x**4 + 988418/5 + 845*x**3 + 692455*x + 1492471/5*x**2 = 0. Calculate x.
-703, -2, -1/3
Let m(v) = 2912*v - 200925. Let f be m(69). Factor 2/7*y**f + 138*y - 126 - 86/7*y**2.
2*(y - 21)**2*(y - 1)/7
Let o(x) be the first derivative of -x**5/150 - x**4/5 - 33*x**2/2 + 111. Let c(t) be the second derivative of o(t). Solve c(b) = 0 for b.
-12, 0
Let o(x) be the third derivative of -x**6/360 + 13*x**5/120 - x**4/2 + x**3/6 + 2*x**2 + 9. Let z(i) be the first derivative of o(i). Factor z(f).
-(f - 12)*(f - 1)
Factor -48*m - 1/2*m**3 + 0 + 97/2*m**2.
-m*(m - 96)*(m - 1)/2
Suppose -1/3*t**3 + 2/3 + 1/3*t - 2/3*t**2 = 0. What is t?
-2, -1, 1
Let p be 332/(-14) - -23 - 2/(-35)*16. Let w be 0 + 3*6/9. Solve 7/5*g**w + 6/5*g - p = 0 for g.
-1, 1/7
Let c(t) be the first derivative of 2*t**3/3 + 51*t**2 - 684*t - 3556. Factor c(o).
2*(o - 6)*(o + 57)
Let a be -3 - -1 - (0 - 2374/6). Let m = a + -393. Let 0 + 1/3*u**3 - u**2 + m*u = 0. Calculate u.
0, 1, 2
Factor 1/3*v**2 - 10/3*v - 11/3.
(v - 11)*(v + 1)/3
Let t be -9 - (-44 + -5 + 30). Find m, given that -85/3*m - t + 35/3*m**3 + 80/3*m**2 = 0.
-3, -2/7, 1
Let o(k) be the first derivative of k**4/10 - 8*k**3/15 - 782. Factor o(z).
2*z**2*(z - 4)/5
Suppose 0 = -1706*c + 1801*c - 1235. Find o such that -c*o**2 - 144 - 1/2*o**3 - 96*o = 0.
-12, -2
Let a(w) be the third derivative of 7*w**8/240 - 13*w**7/50 + 487*w**6/600 - 121*w**5/100 + 14*w**4/15 - 2*w**3/5 + 20*w**2 - 3*w + 2. Solve a(g) = 0 for g.
2/7, 1, 3
Suppose -34*r = -35*r - 1 + 6. Let q(f) be the first derivative of 0*f**2 + 0*f**3 - 3*f**4 + 0*f + 3 - 4/5*f**r. Factor q(m).
-4*m**3*(m + 3)
Suppose -2952 = -50*m - 32*m. Suppose -n = m*n. What is v in n - 9/7*v**2 + 9/7*v**4 + 3/7*v - 3/7*v**3 = 0?
-1, 0, 1/3, 1
Let m(z) be the first derivative of 4*z**5/5 - z**4 - 16*z**3/3 + 8*z**2 + 237. Factor m(y).
4*y*(y - 2)*(y - 1)*(y + 2)
Let m(k) be the second derivative of k**6/5 + 23*k**5/10 + 47*k**4/6 + 37*k**3/3 + 10*k**2 + 2273*k. Let m(b) = 0. What is b?
-5, -1, -2/3
Suppose -341*h - 3280 = -506*h - 491*h. Let 0 + 0*q**2 + 5/3*q**4 + 2/3*q**h + 2/3*q**3 + 0*q = 0. Calculate q.
-2, -1/2, 0
Factor -1079*p - 200*p**2 - 5*p**3 - 2890 + 21*p**2 - p**2 - 706*p.
-5*(p + 2)*(p + 17)**2
Let k(q) be the first derivative of 0*q**5 + 0*q**2 + 18 + 0*q**3 + 18*q - 5/36*q**4 + 1/18*q**6. Let u(o) be the first derivative of k(o). Factor u(g).
5*g**2*(g - 1)*(g + 1)/3
Let z(a) be the first derivative of 0*a + 0*a**3 + 0*a**2 + 2/3*a**6 + 32 + 2/5*a**5 - 1/2*a**4. Determine y so that z(y) = 0.
-1, 0, 1/2
Solve -1220*n - 1/2*n**4 - 1725/2 - 397*n**2 - 40*n**3 = 0 for n.
-69, -5, -1
Let 797*r + 133*r + 31*r + 419*r - 108*r + 4*r**2 = 0. Calculate r.
-318, 0
Let u(g) = -g**3 - 5*g**2 + 4*g - 1. Let m(b) = 19595649532*b**3 - 21805268*b**2 + 8104*b - 5. Let i(j) = 5*m(j) - 20*u(j). Factor i(n).
5*(2696*n - 1)**3
Let n = -49650 + 49652. Solve -1/3 + 1/6*l**n + 1/6*l**4 + 1/2*l - 1/2*l**3 = 0 for l.
-1, 1, 2
Let z(b) be the second derivative of -b**6/10 + 21*b**5/20 - 2*b**4 - 14*b**3 + 72*b**2 + 5365*b. Find l, given that z(l) = 0.
-2, 2, 3, 4
Let -12/11*m**4 - 24/11 + 2/11*m**5 + 8/11*m**3 + 36/11*m**2 - 10/11*m = 0. Calculate m.
-1, 1, 3, 4
Find x, given that 11723776 + x**2 - x**2 + 6*x**2 - 13696*x - 5*x**2 + 3*x**2 = 0.
1712
Determine h so that 7/6*h - 1/6*h**2 + 10 = 0.
-5, 12
Let i(f) be the third derivative of -f**7/420 + 7*f**6/120 + 31*f**5/120 + f**4/3 - 7*f**2 + 197*f + 1. Factor i(o).
-o*(o - 16)*(o + 1)**2/2
Let z(g) = 336*g + 11760. Let r be z(-35). Let 3/5*q**4 + 0 + r*q + 9/5*q**3 + 6/5*q**2 = 0. Calculate q.
-2, -1, 0
Let a = 8 - 6. Let s be 176/220*(1236/448 - (-40)/(-70)). What is i in -1/2*i - s*i**a + 1/4 - i**3 = 0?
-1, 1/4
Suppose -31*s - 144 = -13*s. Let o be s/(-2) - (-6)/117*-36. Let 18/13*z + 12/13*z**4 + o*z**3 + 32/13*z**2 + 4/13 + 2/13*z**5 = 0. What is z?
-2, -1
Let f = -535 + 520. Let x be (872/80 - (-6)/f)/3. Suppose -x + 3*a + 1/2*a**2 = 0. What is a?
-7, 1
Let q be (-308)/484*99/(-54). Let k(x) be the first derivative of q*x**2 + 18 - 1/9*x**3 + 8/3*x. Factor k(b).
-(b - 8)*(b + 1)/3
Let j(u) = -u**2 + 116*u - 3298. Let z be j(52). Determine x, given that 9/4*x**5 + 33/2*x**4 + 0 - 57*x**3 + z*x**2 + 0*x = 0.
-10, 0, 2/3, 2
Let n(x) be the third derivative of 2*x**5/105 + 1213*x**4/84 + 101*x**3/7 + 1441*x**2. Factor n(z).
2*(z + 303)*(4*z + 1)/7
Factor -119/5*f - 29/5*f**2 + 289 - 1/5*f**3.
-(f - 5)*(f + 17)**2/5
Let t(h) be the first derivative of 2*h**7/63 - 28*h**6/45 + 44*h**5/15 - 40*h**4/9 - 97*h - 104. Let l(o) be the first derivative of t(o). Factor l(x).
4*x**2*(x - 10)*(x - 2)**2/3
Let m(t) be the second derivative of 25/12*t**4 - 12*t + 5*t**3 - 1/4*t**5 + 0*t**2 + 0. Factor m(i).
-5*i*(i - 6)*(i + 1)
Suppose 2143*b - 4029*b + 2008*b - 610 = 0. What is q in 7*q**2 - 10*q - 12 + 21/2*q**3 + 4*q**4 + 1/2*q**b = 0?
-3, -2, 1
Let y(l) = l**3 + 7*l**2 + 7*l. Let t be y(-5). Let m = 17 + -15. Let -2*i - 4*i**m + 0 + i**4 + 3 + t*i**3 - 13*i**3 = 0. Calculate i.
-3, -1, 1
Suppose 2*u - 8 = -r + 4, -2*r = 2*u - 8. Factor -12*b - u*b**2 + 25*b**3 - 22*b**3 - 12 + 11*b**2.
3*(b - 2)*(b + 1)*(b + 2)
Let i = -314 + 358. Factor -n**3 + 24*n - 91*n**4 + 25*n**3 + i*n**2 + 95*n**4.
4*n*(n + 1)*(n + 2)*(n + 3)
Let p(o) = -5*o - 95. Let d be p(-23). Factor -d - 5*i**3 - 2*i + 6*i - 4*i + 5*i**2 + 20*i.
-5*(i - 2)*(i - 1)*(i + 2)
Let v = -30 - -264. What is c in -49*c - 145*c - 11 - 46*c - v + 5*c**2 + 0*c**2 = 0?
-1, 49
Let i(g) be the first derivative of -6*g**3 - 51*g**2/2 - 18*g + 124. Let m(y) = 37*y**2 + 102*y + 37. Let h(u) = -13*i(u) - 6*m(u). Factor h(a).
3*(a + 4)*(4*a + 1)
Let n(k) be the second derivative of 5*k**6/3 + 33*k**5 + 49*k**4/6 - 68*k**3 + 52*k**2 + 208*k. What is z in n(z) = 0?
-13, -1, 2/5
Factor -31794372*d**2 + 64187802*d - 1393940/7*d**3 - 2894/7*d**4 - 2/7*d**5 - 32193882.
-2*(d - 1)**2*(d + 483)**3/7
Let r(w) be the first derivative of 13*w**3 + 83 - 225/4*w**2 + 27*w - 66/5*w**5 + 7/4*w**6 + 51/2*w**4. Let r(j) = 0. What is j?
-1, 2/7, 1, 3
Let h(k) be the second derivative of 1/3*k**3 + 0*k**2 + 8/15*k**4 + 8/75*k**6 + 9/25*k**5 + 1/105*k**7 - 3 + 42*k. Factor h(x).
2*x*(x + 1)**3*(x + 5)/5
Let i(w) be the third derivative of -w**7/350 - w**6/40 + 3*w**5/100 + 13*w**4/40 - w**3 - 3*w**2 + 59*w. Suppose i(m) = 0. What is m?
-5, -2, 1
Let b(s) be the first derivative of 73 - 2*s**3 - 7/2*s**4 + s + 1/2*s**2 - 11/5*s**5 - 1/2*s**6. Suppose b(l) = 0. What is l?
-1, 1/3
Suppose 264/5*s + 192/5 + 12/5*s**2 - 78/5*s**3 - 3*s**4 + 3/5*s**5 = 0. Calculate s.
-2, -1, 2, 8
Solve -100*n**3 + 3326*n**5 - 5*n**4 - 6637*n**5 + 3326*n**5 - 60*n**2 = 0.
-2, -2/3,