ose d(i) = 0. What is i?
-2, -1, 4
Determine g so that 0*g + 0 - 88804/7*g**3 - 1192/7*g**4 - 4/7*g**5 + 0*g**2 = 0.
-149, 0
Let j(w) be the third derivative of w**6/180 - w**4/3 - 7*w**3 - 5*w**2 - w. Let q(o) be the first derivative of j(o). Determine k, given that q(k) = 0.
-2, 2
Let n(v) = 2*v**2 - v - 4. Let c be n(-2). Let s be (-15)/c + 2 + 9/2. Find z, given that -s*z**2 + 7 + 12*z + 6 + 3 + 0 = 0.
-1, 4
Let m(b) = 2*b**2 + 36*b - 62. Suppose -7*i + 117 = 33. Let q(r) = -r - 1. Let u(f) = i*q(f) - m(f). Factor u(j).
-2*(j - 1)*(j + 25)
Factor -472*u - 167088 - 1/3*u**2.
-(u + 708)**2/3
Let u = -37/9 + 191/45. Let q(c) be the first derivative of -1/10*c**2 + 0*c + 4/25*c**5 + 7 - 4/15*c**3 + u*c**6 - 3/20*c**4. Let q(r) = 0. Calculate r.
-1, -1/2, 0, 1
Let f = -776 - -780. Let l(d) = d + 8. Let w be l(-6). Factor -3*s - f*s**2 + s + 6*s**w.
2*s*(s - 1)
Let 30/19*o**4 + 210/19*o**2 + 0*o + 2/19*o**5 + 0 + 142/19*o**3 = 0. Calculate o.
-7, -5, -3, 0
Let s be ((-132570)/900)/((-63)/4). Let z = 230/21 - s. Find r such that -14/5*r**4 - 38/5*r**3 - 10*r**2 - z - 32/5*r - 2/5*r**5 = 0.
-2, -1
Let q(n) be the second derivative of n**7/7560 - 49*n**6/2160 - 5*n**5/36 - 71*n**4/12 - 3*n - 1. Let d(g) be the third derivative of q(g). Factor d(h).
(h - 50)*(h + 1)/3
Let q be (-75578)/(-954) + -35 + -44. Factor 200/9 + q*x**2 - 40/9*x.
2*(x - 10)**2/9
Let d = 7631 - 7628. Let b(u) be the third derivative of 2*u**d - 2/3*u**4 + 1/15*u**5 + 17*u**2 + 0*u + 0. Find f, given that b(f) = 0.
1, 3
Let c(v) be the first derivative of 4/5*v**5 + 16*v**3 + 0*v - 9*v**2 + 168 - 13/2*v**4. Factor c(k).
2*k*(k - 3)**2*(2*k - 1)
Let r(u) be the first derivative of 441*u**6/2 + 630*u**5 + 2379*u**4/4 + 200*u**3 + 24*u**2 + 1087. Solve r(s) = 0 for s.
-1, -4/21, 0
Let q(h) be the first derivative of -h**3/12 + 213*h**2/4 + 427*h/4 - 9017. Determine y, given that q(y) = 0.
-1, 427
Let m(n) be the second derivative of -n**6/150 + 9*n**4/20 + 9*n**3/5 + 551*n. Find a such that m(a) = 0.
-3, 0, 6
Let -44/7*t**3 + 64/7*t - 2/7*t**5 + 18/7*t**4 + 0 + 0*t**2 = 0. What is t?
-1, 0, 2, 4
Factor 0*v**4 + 7*v**4 + 103508*v + 335*v**2 - 6*v**4 - 103259*v + 87*v**3.
v*(v + 1)*(v + 3)*(v + 83)
Let w(i) be the first derivative of i**6/2 + 39*i**5/5 + 69*i**4/2 + 12*i**3 - 108*i**2 + 433. Suppose w(p) = 0. Calculate p.
-6, -2, 0, 1
Let m(d) be the second derivative of 0 - 9/140*d**5 + 1/28*d**4 + 0*d**2 + 1/7*d**3 + 134*d - 1/70*d**6 + 1/98*d**7. Suppose m(a) = 0. What is a?
-1, 0, 1, 2
Let -1570*h - h**2 - 16728100 - 4201*h + 2157*h - 4566*h = 0. What is h?
-4090
Let d = -1514 + 1516. Let g(x) = -56*x + 112. Let t be g(d). Find a, given that t - 4/5*a + 4/5*a**2 - 1/5*a**4 + 1/5*a**3 = 0.
-2, 0, 1, 2
Let t(s) be the second derivative of -s**7/168 + 13*s**6/120 + 19*s**5/80 - 73*s**4/48 + 7*s**3/4 + 3357*s. Let t(a) = 0. What is a?
-3, 0, 1, 14
Suppose -47*z + 464 = -3*x, 84 = 4*x + 5*z + 26. Factor -416*w - 1/2*w**4 - 35/2*w**3 - 256 - 177*w**x.
-(w + 1)*(w + 2)*(w + 16)**2/2
Factor 2 - 1716*y**3 + 36*y + 6*y**2 + 7 + 18 - y**4 + 0 + 1712*y**3.
-(y - 3)*(y + 1)*(y + 3)**2
Suppose 554*u + 505*u - 96 = 1011*u. Find y such that 0*y + 3/2*y**3 + 0 - 3/2*y**u = 0.
0, 1
Let s(b) = -b**3 - b**2 - b + 1. Let d(x) = 2*x**3 - 70*x**2 + x - 1. Let u(h) = -d(h) - s(h). Factor u(g).
-g**2*(g - 71)
Let u(a) = -3*a**4 - 57*a**3 - 93*a**2 - 3*a + 6. Let m(i) = 3*i**2 - i + 2. Let w(o) = 3*m(o) - u(o). Suppose w(p) = 0. What is p?
-17, -2, 0
Let i = 3823 + -3823. Let q(f) be the third derivative of 29*f**2 + 1/280*f**7 + 1/32*f**4 - 1/160*f**6 - 3/80*f**5 + 0*f + 1/4*f**3 + i. Factor q(w).
3*(w - 2)*(w - 1)*(w + 1)**2/4
Factor -10726 + 979*g - 4394 + 2261*g - 13153*g**2 + 12928*g**2 + 5*g**3.
5*(g - 21)*(g - 12)**2
Let h(f) be the third derivative of -5*f**9/3024 - f**8/112 - f**7/56 - f**6/72 + 22*f**3/3 - 57*f**2. Let b(x) be the first derivative of h(x). Factor b(u).
-5*u**2*(u + 1)**3
Let x = -199 - -203. What is u in 165 + 442*u**2 + 814*u**x + 110 - 242*u**5 + 1906*u**3 - 235 - 368*u = 0?
-1, 2/11, 5
Let o = 39034/1869 - -1110/623. Determine p so that 64/3*p**2 + o - 134/3*p + 2/3*p**3 = 0.
-34, 1
Let s(n) be the first derivative of n**5/12 - 25*n**4/24 - 5*n**3 + 63*n**2/2 - 66. Let g(d) be the second derivative of s(d). Factor g(t).
5*(t - 6)*(t + 1)
Let h(n) be the first derivative of n**4/24 + 89*n**3/18 - 181*n**2/12 + 91*n/6 + 853. Solve h(z) = 0 for z.
-91, 1
Let r(j) be the third derivative of -4/75*j**6 + 1/75*j**5 + 16/15*j**3 + 7/15*j**4 + 0*j - 2/175*j**7 - 37*j**2 - 3. Let r(n) = 0. What is n?
-2, -1, 4/3
Suppose 29 = 11*w - 37. Let -114 - w*f - 32*f - 44 + 2*f**3 + 218 = 0. What is f?
-5, 2, 3
Let -20/3*k + 8/3 - 5/3*k**3 + 11/2*k**2 + 1/6*k**4 = 0. Calculate k.
1, 4
Let l(c) be the first derivative of c**5/5 + 57*c**4/4 - 2569. Suppose l(x) = 0. Calculate x.
-57, 0
Factor 229/3 + 1/6*q**2 - 77/2*q.
(q - 229)*(q - 2)/6
Let g = 4 + -2. Suppose 7*y - 10 = 39. Find j such that -j**g - 7 - 3*j**2 + y + 8*j = 0.
0, 2
Suppose -2003*k + 1909*k + 376 = 0. Solve 26*o + 27/2*o**5 + 56*o**2 - 48*o**k - 79/2*o**3 - 8 = 0.
-1, -2/3, 2/9, 1, 4
Let q(s) be the first derivative of 2/9*s**3 - 62 + 0*s + 1/15*s**5 - 1/4*s**4 + 0*s**2. Factor q(i).
i**2*(i - 2)*(i - 1)/3
Let c(d) be the second derivative of -6859/80*d**5 + 62 - 19/2*d**3 + 361/8*d**4 + d**2 + 2*d. Let c(u) = 0. What is u?
2/19
Factor 8500/7*v**2 - 5784/7*v - 578/7*v**3 + 144.
-2*(v - 14)*(17*v - 6)**2/7
Factor 66/5*k + 6*k**2 - 1/10*k**3 - 248/5.
-(k - 62)*(k - 2)*(k + 4)/10
Let l(u) be the third derivative of u**8/4032 - u**7/336 - u**5 - u**2 + 5. Let i(p) be the third derivative of l(p). Factor i(k).
5*k*(k - 3)
Find k, given that -175*k**5 + 65*k**2 + 10*k**4 + 14*k**2 - 2*k - 3*k + 180*k**3 - 89*k**2 = 0.
-1, -1/7, 0, 1/5, 1
Let h(t) be the second derivative of -t**7/7560 - t**6/540 - t**5/90 - 41*t**4/4 - 2*t + 52. Let v(c) be the third derivative of h(c). Factor v(l).
-(l + 2)**2/3
Let n be 2/5 + 8/5. Let 35*l - 12*l**n + 3*l**2 - 40 + 14*l**2 = 0. Calculate l.
-8, 1
Let j(u) be the third derivative of 0*u + 1/180*u**6 + 5*u**2 + 0*u**3 + 22/945*u**7 + 5/1512*u**8 - 2/27*u**4 - 11/135*u**5 + 0. Suppose j(h) = 0. What is h?
-4, -1, -2/5, 0, 1
Let u(v) be the third derivative of -v**7/280 - v**6/16 - 2*v**5/5 - 19*v**4/16 - 15*v**3/8 + 1353*v**2. Solve u(t) = 0 for t.
-5, -3, -1
Suppose -3*b + 3*a = -27, 0 = -b + 2*a + 97 - 82. Find o, given that -20*o**2 + 5/2*o**b + 20 - 5/2*o = 0.
-1, 1, 8
Let q be 448/21*(-18)/(-8) + -1. Let -12*k**2 + 8*k**2 - 48*k - 145 - q + k**2 = 0. What is k?
-8
Let k(a) = -17*a - 176. Let m be k(-11). Let w be (-3)/(-264)*4*(m + 1). Let w*j + 0 - 2/11*j**2 = 0. What is j?
0, 3
Suppose -3*j - 14 = 32*a - 33*a, 5*j + 26 = 3*a. Find v, given that -14*v**2 + 25*v**2 - 8*v**a + 12*v = 0.
-4, 0
Let y(a) = a**2 + 220*a - 65741. Let q be y(-389). Factor 2/5*c**3 + 0*c**2 + q*c + 0.
2*c**3/5
Let z(g) = -g**2 + 1358*g - 6797. Let m(x) = -123*x + 618. Let i(u) = 32*m(u) + 3*z(u). Suppose i(f) = 0. Calculate f.
5, 41
Let s(p) be the first derivative of 1/9*p**4 - 2/9*p**3 - 4/9*p**2 + 8/9*p - 222 + 2/45*p**5. Solve s(f) = 0.
-2, 1
Let r(q) be the third derivative of 1/60*q**5 + 0*q + 0 - 55*q**2 - 1/2*q**3 - 1/12*q**4. Determine o so that r(o) = 0.
-1, 3
Let d(s) be the second derivative of 729/5*s**2 + 81/5*s**3 - 24*s + 1/50*s**5 + 9/10*s**4 + 0. Determine h, given that d(h) = 0.
-9
Let w(s) be the first derivative of 16*s + 0*s**2 + 9 - 1/4*s**4 - 3/4*s**5 - 3/10*s**6 + 1/2*s**3. Let d(u) be the first derivative of w(u). Factor d(i).
-3*i*(i + 1)**2*(3*i - 1)
Let g = -28/156843 + 1254884/784215. Factor 2/5*m**4 + g*m**3 - 4/5 - 7/5*m + 2/5*m**2 - 1/5*m**5.
-(m - 4)*(m - 1)*(m + 1)**3/5
Let y(i) = -95*i**2 + 95. Let h(l) = -8*l**2 + 8. Let n = 50 + -47. Let p(m) = n*y(m) - 35*h(m). Factor p(k).
-5*(k - 1)*(k + 1)
Suppose 2*p = 2*v + 8, 22*p = 25*p + 5*v - 20. Let w(f) be the third derivative of -1/12*f**p + 5/24*f**4 + 5/3*f**3 + 0 + 16*f**2 + 0*f. Solve w(u) = 0.
-1, 2
Determine x, given that -2/5*x**3 + 192/5*x + 186/5*x**2 - 376/5 = 0.
-2, 1, 94
Suppose 10*u + 270 = 19*u. Determine g so that 4*g**5 + 8*g**2 - 32 + u*g**4 + 60*g - 1131*g**3 - 6*g**4 + 1067*g**3 = 0.
-8, -1, 1
Let o(m) = 114*m - 648