85
Let m(i) = 56 - i**2 - 27 + 15 - i. Let r be m(6). Suppose 0*o + 0 + 2/9*o**3 + 0*o**r = 0. What is o?
0
Solve -37*v**4 - 66*v**5 + 69*v**5 + 352*v**2 + 64*v**3 - 292*v**2 = 0.
-2/3, 0, 3, 10
Let r(p) = -p**2 + p + 2. Suppose -61*a + 51 = -10*a. Let n(w) = 28*w + 8. Let v(f) = a*n(f) - 4*r(f). Determine b, given that v(b) = 0.
-6, 0
Factor 0*y**3 - 4201180*y - 30*y**3 - 4278*y**2 + 33*y**3 - 724934194 + 1150966*y - 5*y**3.
-2*(y + 713)**3
Let v(m) be the first derivative of 3/2*m**4 - 24/5*m**5 - 20 + 1/2*m**6 + 0*m - 225/2*m**2 + 80*m**3. Factor v(n).
3*n*(n - 5)**2*(n - 1)*(n + 3)
Let j(c) = 105*c**2 + 630*c + 45. Let b(w) = -w**2 - 3*w + 9. Let u(q) = -5*b(q) - j(q). Determine x, given that u(x) = 0.
-6, -3/20
Suppose 0 = -6*x + 390 - 72. Suppose -7*y + x - 25 = 0. Determine v, given that -1/3*v**5 + 0*v**2 + 0 + 0*v + 2/3*v**y - 1/3*v**3 = 0.
0, 1
Let t(q) be the third derivative of -q**7/12600 + 19*q**6/3600 - q**4/12 + 29*q**3/3 - 93*q**2. Let n(v) be the second derivative of t(v). Factor n(o).
-o*(o - 19)/5
Let j(y) be the second derivative of y**8/15120 - y**7/420 + y**6/40 - y**3/2 + 5*y**2/2 + 19*y + 3. Let v(b) be the second derivative of j(b). Factor v(t).
t**2*(t - 9)**2/9
Let w be (-1)/(-12) - (-283383)/3036 - 8*(-2)/(-176). Suppose -8 - 2450/9*s**2 - w*s = 0. Calculate s.
-6/35
Suppose -35 = 26*z - 19*z. Let h be -3 - z/((-5)/(-6))*1. Suppose 9*o**h + 11*o + 3*o**5 - 9*o**4 - 3*o - 3*o**2 - 8*o = 0. Calculate o.
0, 1
Find c such that -5*c**4 - 72*c + 28 - 71*c**3 + 210*c + 111*c**2 - 7*c**4 - 17*c + 23*c = 0.
-7, -2/3, -1/4, 2
Let j(n) be the first derivative of n**6/3 + 2*n**5/5 - 25*n**4/2 + 70*n**3/3 + 24*n**2 - 72*n - 1471. Find c such that j(c) = 0.
-6, -1, 1, 2, 3
Suppose -3*y + 3*q + 12 = 0, y + 2 = 4*q + 3. Suppose -3*h + y*r + 134 = 4*r, -3*h + 5*r = -130. Factor 38*x - 4*x**2 + h*x - 82*x.
-x*(4*x - 1)
Determine x, given that 1/10*x**4 + 2691/2*x**2 + 0 + 231/10*x**3 + 2645/2*x = 0.
-115, -1, 0
Let l(q) be the first derivative of -1/16*q**2 - 1/4*q + 1/32*q**4 + 1/12*q**3 + 76. Factor l(w).
(w - 1)*(w + 1)*(w + 2)/8
Let n(k) be the third derivative of k**7/7560 + k**6/270 + 21*k**3 + 143*k**2. Let f(v) be the first derivative of n(v). Suppose f(t) = 0. What is t?
-12, 0
Suppose -5*r + 40 = -0*r. Let h(o) = 2*o - 14. Let m be h(r). Let -1 + 5*u**4 + 2*u**3 + m*u**2 + 9*u**4 - u - 15*u**4 - u**5 = 0. What is u?
-1, 1
Let -17175/8*t - 9*t**5 - 7509/8*t**3 - 1221/8*t**4 - 19485/8*t**2 + 375/4 = 0. What is t?
-5, -2, 1/24
Let l(p) be the second derivative of p**4/42 - 86*p**3/21 - 360*p**2/7 - 601*p - 2. Factor l(k).
2*(k - 90)*(k + 4)/7
Suppose -279*j = -154*j - 174*j + 2205. Factor -45/2*m - 5/2*m**2 - j.
-5*(m + 3)*(m + 6)/2
Let b be (45/72 - (-1)/(-4))*8. Factor -23*s + 0*s**2 - s**2 - 3 + 3*s**2 + 27*s - b.
2*(s - 1)*(s + 3)
Let g(t) be the third derivative of t**7/1155 - 3*t**6/44 + 64*t**5/165 - 7*t**4/11 + 3*t**2 + 637. Determine u, given that g(u) = 0.
0, 1, 2, 42
Let s be (81 + -7 - 0)/2. Factor -4*c**2 - 46 - s - 6 - 72*c + 21.
-4*(c + 1)*(c + 17)
Let x(i) be the third derivative of -i**6/300 - i**5/25 - i**4/5 - 8*i**3/15 + 1698*i**2 - 2*i - 2. What is z in x(z) = 0?
-2
Suppose -4*s - 166 = 3*w, 0 = 2*s + 8 - 18. Let u = w + 77. Factor -29 - 24*d**2 + u - 4*d**3 - 25*d - 23*d - 18.
-4*(d + 2)**3
Let i be ((-1638)/252)/((-5)/20 - 3). What is y in -256/7*y + 0 + 4/7*y**i = 0?
0, 64
Let w(s) = -s**2 + 31*s + 68. Let b be (110/20 - 4)/((-3)/4). Let g be w(b). Solve 2/3*v**3 - 4/3*v**4 + 4/3*v**g + 0 - v**5 + 1/3*v = 0 for v.
-1, -1/3, 0, 1
Let f be (-20)/8*-2 - (4 - 3). Determine k, given that -265*k**5 + 46*k**3 - 18*k**2 - 16*k**f - 52*k**2 + 267*k**5 + 14*k**2 + 24*k = 0.
0, 1, 2, 3
Let j be (-6)/((740/45 - 12)*(-12)/10). Let u(a) be the first derivative of -6*a**2 - j*a**4 - 7*a**3 + 0*a + 4. Factor u(l).
-3*l*(l + 4)*(3*l + 2)/2
Let y(i) be the first derivative of 2*i**3/57 + 184*i**2/19 - 1743. Factor y(v).
2*v*(v + 184)/19
Factor 2403*z**2 + 5*z**3 - 4787*z**2 - 475*z - 690 + 2604*z**2.
5*(z - 3)*(z + 1)*(z + 46)
Let k(m) be the first derivative of 14*m**5/5 + 29*m**4 + 214*m**3/3 + 68*m**2 + 24*m - 1446. Factor k(q).
2*(q + 1)**2*(q + 6)*(7*q + 2)
Find o, given that 0*o**2 - 18/5*o + 0 + 2/5*o**3 = 0.
-3, 0, 3
Let b(d) be the second derivative of -d**6/90 - 128*d**5/15 + 515*d**4/12 + 1640*d. Let b(a) = 0. What is a?
-515, 0, 3
Suppose p**3 - 11/2*p**2 + 0 - p + 11/2*p**4 = 0. Calculate p.
-1, -2/11, 0, 1
Let d(h) = 65*h**2 - 99*h + 241. Let t(s) = 17*s**2 - 25*s + 60. Let r(o) = -6*d(o) + 23*t(o). Factor r(q).
(q - 3)*(q + 22)
Suppose 281*m + 0 = 182*m - 0. Factor -56/3*f - 40/3*f**3 + 92/3*f**2 + m + 4/3*f**4.
4*f*(f - 7)*(f - 2)*(f - 1)/3
Let l(v) be the second derivative of 40/3*v**4 - 16/5*v**5 - 6/5*v**6 - 32*v**2 + 2 + 128/3*v**3 + v. Let l(g) = 0. Calculate g.
-2, 2/9, 2
Let i = 145 + -197. Let w be (-4)/(-8) + (-3 - i/8). Factor -259*u**2 + 5*u**4 + 3*u**3 + 252*u**2 - 6*u - 2*u**w - u**5.
-u*(u - 3)*(u - 2)*(u + 1)**2
Suppose -2*b - 8 = -24. Suppose b*c = 2*c + 12. Factor -2*y**4 - 8 - y + 2*y**3 - 5*y - 2*y**c + 4*y**3 + 12.
-2*(y - 2)*(y - 1)**2*(y + 1)
Suppose -11/9*s - 1/9*s**3 + 2/3*s**2 + 2/3 = 0. What is s?
1, 2, 3
Let n(d) = -32596*d - 191996. Let r be n(-6). Determine x, given that 3060*x**3 - 1445/2*x**4 - 40 + 720*x - r*x**2 = 0.
2/17, 2
Suppose -8*g + 10 = -14. Let -3*w + w**4 - w**g + 1006 - 5*w**2 - 1006 = 0. Calculate w.
-1, 0, 3
Suppose -15 = -4*c - 7. Let b be 17 + 1 + (c - 3 - -3). Find p such that p**2 + 3*p**2 + b*p - 13*p - 11*p = 0.
0, 1
Let s(i) be the third derivative of 2*i**8/63 - 152*i**7/315 + 49*i**6/180 + 539*i**5/45 + 130*i**4/9 + 64*i**3/9 - i**2 + 2. Solve s(v) = 0.
-2, -1/4, 4, 8
Suppose -6*a + 3*a + 6 = 0. What is n in -29*n**3 - 6*n**3 - 324*n**4 + 324*n**4 + 5*n**5 - 30*n**a = 0?
-2, -1, 0, 3
Let t = -49639/8 + 6209. Let o(a) = -a**2 - a + 2. Let p be o(0). Factor -3/8 - 57/8*b**p + t*b + 27/8*b**3.
3*(b - 1)**2*(9*b - 1)/8
Suppose 4*w**2 + 224 + 31*w - 89*w + 130*w = 0. Calculate w.
-14, -4
Suppose -4*i = m - 2, 5*m - 42 = -3*i + 36. Let w(j) = -j**3 + 18*j**2 - 45*j + 4. Let g be w(15). Factor -2*v**3 - 17*v**4 + m*v**g - v**2 + 4*v - 2*v.
v*(v - 2)*(v - 1)*(v + 1)
Suppose -2*o**5 - 328*o**2 - o**3 - 5*o**3 + 0*o**5 + 10*o**3 + 6*o**5 - 80*o + 32*o**4 + 800 = 0. What is o?
-5, -2, 2
Determine v so that 169*v**4 - 171*v**4 - 3 + 3*v - 46*v**2 - 16*v**3 - 21 - 59*v = 0.
-3, -2, -1
Let u(p) be the first derivative of p**4/10 - 118*p**3/15 - 973*p**2/5 - 7154*p/5 + 5730. Suppose u(o) = 0. What is o?
-7, 73
Suppose 304 = 29*j + 72. Let g(p) be the first derivative of j*p - 2*p**3 + 2*p**4 - 2/5*p**5 - 4*p**2 - 37. Suppose g(s) = 0. Calculate s.
-1, 1, 2
Find w such that 181/3*w**2 - 1/6*w**4 + 108 + 142*w + 47/6*w**3 = 0.
-3, -2, 54
Let w(a) = 15*a**2 - 2. Let i be w(-1). Let f be ((3 - 7) + -1)*i/(-5). Let f*q - 136*q**2 - 33*q - 45*q - 21*q**3 - 8 + 5*q**3 = 0. Calculate q.
-8, -1/4
Let g(o) = o**3 + 14*o**2 + 24*o + 2. Let q be g(-2). What is k in -k**5 + 5*k**4 + 10*k - 4*k + 9*k**q - 5*k**3 - 14*k**2 = 0?
-1, 0, 1, 2, 3
Let f(g) be the third derivative of g**8/168 - 59*g**7/105 + 89*g**6/6 - 31*g**5/3 - 2697*g**4/4 + 2523*g**3 + 784*g**2. Find a such that f(a) = 0.
-3, 1, 3, 29
Suppose -4*q + 20 = 4*u, 0 = -5*u - 0*q - 3*q + 15. Let o be (-6 - (u - -1)) + 9. Factor -6*a**o - 21/8*a**3 - 3/2*a + 0.
-3*a*(a + 2)*(7*a + 2)/8
Let z(k) be the first derivative of 3*k**4/4 - k**3 + 3*k**2/2 - 2*k + 12. Let m be z(4). Determine f so that -55*f - 29 - 20*f - f**2 - f**3 + 16*f**2 + m = 0.
5
Let h = 19 + -21. Let w be 0/1 - (-1133 - h). Factor 2*q - w + 9*q**3 + 7*q**2 + 1131 + 5*q**4 + q**5.
q*(q + 1)**3*(q + 2)
Let k(t) = 31*t + 346. Let m be k(-11). Factor 4329 - 17158 - 600*r - m*r**2 - 5171.
-5*(r + 60)**2
Let w(z) be the second derivative of z**7/630 - 3*z**6/20 + 7*z**4/12 + 7*z - 3. Let c(d) be the third derivative of w(d). Factor c(a).
4*a*(a - 27)
Let p(o) = -o**3 + 26*o**2 + 87*o + 5. Let h be p(29). Suppose -513*b**3 + 29*b**3 - 120*b**2 + 478*b**h + 514*b**5 - 1020*b**5 - 232*b**4 = 0. What is b?
-5, -3, -2/7, 0
Suppose 531/2*o - 75/2*o**2 - 3/2*o**3 - 837/2 = 0. What is o?
-31, 3
Let g(k) = 3*k**2 + 1610*k - 61118. Let q be g(38). Factor -q + 507*c