ind a, given that -3/5*a**3 + g*a**2 - 15 - 9*a = 0.
-1, 5
Determine i so that -604311 + i**2 - 5043*i - 1234956 + 345*i - i**2 - 3*i**2 = 0.
-783
Let -97/2*k + 93/2*k**5 + 2*k**3 + 94*k**4 - 93*k**2 - 1 = 0. Calculate k.
-1, -2/93, 1
Let y(b) = -b**3 + b**2 + b - 5. Let w(t) = -49*t**4 - 214*t**3 - 238*t**2 - 78*t + 15. Let v(j) = -4*w(j) - 12*y(j). Solve v(g) = 0 for g.
-3, -5/7, 0
Suppose 7/2*h**3 + 2521*h**2 + 129600 + 454320*h = 0. Calculate h.
-360, -2/7
Let g(c) = 5*c + 14. Let s be g(-5). Let l be (5 - 1) + 9 + s. What is x in 20*x**3 + 9 - 23*x**3 + 10*x**l - 3*x - 18*x + 5*x**2 = 0?
1, 3
Let w(k) be the first derivative of -27/2*k**2 - 1/4*k**4 + 13*k + 147 + 5*k**3. Factor w(y).
-(y - 13)*(y - 1)**2
Suppose 3*q + 2*w + 0*w - 67 = 0, 2*w + 8 = 0. Let j = q - 23. Find u such that -20 - 2*u**j + 8*u - 25 + 39 = 0.
1, 3
Let c be 2/(-3) + (-11)/(-3). Suppose 16 = u + c*u. Find k such that 5*k**2 - u*k**4 - k + 5*k - k**2 - 4*k**3 = 0.
-1, 0, 1
Suppose 4*b**2 + 5696 + 231*b - 3*b - 23*b + 1235*b = 0. What is b?
-356, -4
Let c(h) be the first derivative of -3872/3*h - 2/9*h**3 + 88/3*h**2 - 55. Factor c(d).
-2*(d - 44)**2/3
Let u = 62 + -58. Suppose -f - f = -u. Factor -9*p**2 + 100 + 2*p**2 - 40*p + 11*p**f.
4*(p - 5)**2
Let c(v) be the second derivative of 0 + 13*v + 2*v**2 + 1/135*v**6 + 5/9*v**3 - 7/54*v**4 - 1/30*v**5. What is m in c(m) = 0?
-2, -1, 3
Let o be (-3 - (-72)/20) + (-19579)/(-35). Determine x so that 7*x**2 - 20*x + x**3 - o + 12*x**2 + 560 = 0.
-20, 0, 1
Let p(o) be the first derivative of o**5/10 - 7*o**4 - 58*o**3/3 - 3073. Factor p(m).
m**2*(m - 58)*(m + 2)/2
Let x = 65 - -43. Suppose 3*c - x = -0*c. Factor 115*g**2 + 21 + 100*g + c*g**3 - g**3 - 1.
5*(g + 1)*(g + 2)*(7*g + 2)
Let v(b) be the third derivative of b**7/147 + 29*b**6/1260 + 13*b**5/630 - b**4/252 - 177*b**2. Factor v(t).
2*t*(t + 1)**2*(15*t - 1)/21
Let r = -742 - -119. Let h = r + 626. Factor -4*y**4 + 0*y + 0*y**2 + 8/3*y**h + 4/3*y**5 + 0.
4*y**3*(y - 2)*(y - 1)/3
Let g(r) = -4*r. Let y be g(-1). Suppose 3*t - 2*t = -a - 1, a - y*t - 19 = 0. Factor -15*l**2 + l**a + 13*l**2 + 0*l**3 + 10*l**4.
l**2*(2*l + 1)*(5*l - 2)
Suppose 5*w - 22 + 0 = -3*q, -8 = 2*w - 3*q. Let d be 102/216 - 2/8. Let d*j**w - 8/9*j**3 - 2/9 + 8/9*j = 0. What is j?
-1, 1/4, 1
Let b = 1758 + -1758. Suppose g - 4 = -0*g. Let 4/3*r**g + 0 + 1/3*r**5 + b*r + 2/3*r**2 + 5/3*r**3 = 0. What is r?
-2, -1, 0
Let j(t) be the second derivative of -t**6/6 + 729*t**5 - 2657205*t**4/2 + 1291401630*t**3 - 1412147682405*t**2/2 - 57*t - 10. Find z such that j(z) = 0.
729
Let y be (-1)/((12/22)/(-641 + 7)). Let q = -1161 + y. Factor -10/3*w - 14/3*w**2 + q.
-2*(w + 1)*(7*w - 2)/3
Suppose -924*d - 1401*d = -300*d + 220*d. Find r, given that -99/4*r - 3/4*r**2 + d = 0.
-33, 0
Suppose 2/3*u**4 + 0 - 64/3*u - 68/3*u**3 + 130/3*u**2 = 0. Calculate u.
0, 1, 32
Let x be 2*2 + ((-24)/21 - 226/84). Let o(h) be the first derivative of 16 - x*h**3 + h**2 - 2*h. What is a in o(a) = 0?
2
Let g(m) be the second derivative of m**5/170 - 115*m**4/102 + 3248*m**3/51 + 3364*m**2/17 - 10*m - 144. Find h, given that g(h) = 0.
-1, 58
Suppose -238 - 2530 = -95*q - 78*q. Let h(a) be the second derivative of -3/4*a**4 - q*a**3 + 26*a - 18*a**2 + 3/4*a**5 + 0. Factor h(t).
3*(t - 3)*(t + 2)*(5*t + 2)
Suppose -2*z + 433 - 431 = 4*m, -3*z + 3 = 3*m. Solve m + 15/2*o + 1/2*o**2 = 0.
-15, 0
Let t(u) = -u**2 + 46 + 15*u + 41*u - 14*u. Let a be t(43). Determine f, given that 0 - 3*f**2 + 0*f - 3/2*f**a = 0.
-2, 0
Let c(x) be the first derivative of -2*x**3/15 - 117*x**2/5 - 684*x/5 - 1848. Factor c(v).
-2*(v + 3)*(v + 114)/5
Suppose 144*o - 106 = 91*o. Let r(s) be the second derivative of 0 - s**5 - 2*s**4 + 1/7*s**7 + o*s**2 - 1/3*s**3 - s + 2/15*s**6. Factor r(u).
2*(u - 2)*(u + 1)**3*(3*u - 1)
Let l(v) be the third derivative of -v**6/360 + v**5/15 + 3*v**4/8 + 68*v**3/3 + 15*v**2. Let m(h) be the first derivative of l(h). Solve m(j) = 0.
-1, 9
Factor 0 - 1048/11*b - 2/11*b**2.
-2*b*(b + 524)/11
Let g(n) be the third derivative of -n**7/1260 + 7*n**6/90 - 49*n**5/15 - 17*n**4/24 - 37*n**2. Let t(y) be the second derivative of g(y). Solve t(c) = 0 for c.
14
Let z(n) be the first derivative of -1/12*n**2 + 2/3*n**3 + 0*n - 2/5*n**5 + 16 + n**6 - 35/24*n**4. Suppose z(m) = 0. What is m?
-1, 0, 1/6, 1
Let m(o) be the second derivative of 1/168*o**7 + 61*o + 1/120*o**6 - 1/48*o**4 + 0*o**3 + 0 - 1/80*o**5 + 0*o**2. Factor m(f).
f**2*(f - 1)*(f + 1)**2/4
Let a(g) be the third derivative of g**6/20 - 641*g**5/40 + 10*g**4 - 2*g**2 + 2296. Factor a(i).
3*i*(i - 160)*(4*i - 1)/2
Let s(p) = -p**3 - 6*p**2 + 7. Let u be s(-6). Let i(x) = 3*x - 15. Let l be i(u). Solve -3*j**4 - 4*j**3 + 4*j + 16*j**3 + l*j**4 + 12*j**2 + j**4 = 0 for j.
-1, 0
Let t(v) be the second derivative of v**4/60 + 298*v**3/5 + 399618*v**2/5 - 2*v - 150. Factor t(k).
(k + 894)**2/5
Let q(w) = -13*w**4 + 13*w**3 + 60*w**2 + 93*w + 48. Let d(f) = 16*f**4 - 12*f**3 - 60*f**2 - 94*f - 48. Let m(r) = -5*d(r) - 6*q(r). Factor m(i).
-2*(i + 2)**3*(i + 3)
Let z(m) be the first derivative of m**4/4 + 440*m**3/3 + 47957*m**2/2 - 97682*m - 7935. Factor z(f).
(f - 2)*(f + 221)**2
Let n(p) be the second derivative of -143/2*p**3 + 0 + 23/4*p**4 + 13*p - 3/20*p**5 + 363/2*p**2. Let n(x) = 0. What is x?
1, 11
Solve 201231/5*a + 312*a**2 - 408726/5 + 3/5*a**3 = 0.
-261, 2
Let u(b) = -b**3 + 5*b + 5. Let x be u(-2). Suppose -2 = 2*o - x*o. Factor -2*a**o - 3*a - 2*a**2 + 7*a.
-4*a*(a - 1)
Let u(d) = 5*d**3 - 145*d**2 - 10*d + 180. Let s(l) = -7*l**2 + l. Let h(o) = 5*s(o) + u(o). Factor h(k).
5*(k - 36)*(k - 1)*(k + 1)
Suppose -2*l = -10 - 8. Let k = l + 18. Solve -k*m**2 + 2*m**2 + 4 + 5*m**2 + 28 - 72*m = 0 for m.
-4, 2/5
Let o be 2 + 0/2 + 72150/666. Let r = 111 - o. Find m such that 16/15*m + 8/15 - r*m**2 = 0.
-2/5, 2
Let c = 1888 - 1880. Let o be (-2)/(c/(-36)) - (-147)/(-21). Suppose 1/2*f**3 - 3/2 + 3/2*f**o - 1/2*f = 0. What is f?
-3, -1, 1
Let o(b) be the second derivative of 0 + 35/3*b**3 + 8*b + 0*b**2 - 1/6*b**4. Find p, given that o(p) = 0.
0, 35
Let g be (-2)/4 - 30/(-4). Let o(i) = -7*i + 128. Let j be o(18). Factor -4*h**4 - g*h**3 - 14*h**3 + h**3 - 16*h - 32*h**j.
-4*h*(h + 1)*(h + 2)**2
Let j(h) = -5*h**2 - 3*h - 4. Let c(p) = 31*p + 207. Let g be c(-6). Let u(w) = 54*w**2 + 30*w + 39. Let v(k) = g*j(k) + 2*u(k). Let v(q) = 0. What is q?
-1, 2
Let g(u) = -5*u**2 - 37*u - 39. Let m be g(-6). Let r(y) be the second derivative of 2*y + 0*y**2 - 4/15*y**6 + 1/3*y**4 + 0 + 1/5*y**5 + 0*y**m. Factor r(j).
-4*j**2*(j - 1)*(2*j + 1)
Find a such that -18/5*a**3 + 0*a - 2/5*a**5 + 0 - 16/5*a**4 + 36/5*a**2 = 0.
-6, -3, 0, 1
Let p(t) be the third derivative of -t**5/300 - 57*t**4/20 - 68*t**3/3 + 32*t**2 - 25*t. Solve p(w) = 0.
-340, -2
Let f be 9 - 7/(35/55). Let w be (-6 - -6)/(f - -1). Factor w*a - 2*a**4 + 0 + 0*a**2 + 4/5*a**3.
-2*a**3*(5*a - 2)/5
Let a(z) be the second derivative of z**9/75600 - z**8/8400 + z**7/4200 + 17*z**4/3 - z**3/3 - 54*z. Let v(j) be the third derivative of a(j). Solve v(u) = 0.
0, 1, 3
Let q(y) be the first derivative of 7*y**6/30 + 131*y**5/25 + 319*y**4/20 + 241*y**3/15 + 7*y**2/5 - 32*y/5 - 1938. Suppose q(o) = 0. What is o?
-16, -1, 2/7
Let h(o) = 5*o**2 - 1. Let j be (-2)/((-14)/(-21)) - (1 - 5). Let l be h(j). Factor 5 - 21*b + l*b**2 + 4*b + 7 + b.
4*(b - 3)*(b - 1)
Factor 10*c**2 + 115*c + 173*c - 69*c + 13*c + 57 - 11.
2*(c + 23)*(5*c + 1)
Let p = 122 - 135. Let d(k) = 3*k**3 - 273*k**2 - 477*k - 240. Let r(i) = -i**3 + 136*i**2 + 239*i + 120. Let t(m) = p*r(m) - 6*d(m). Factor t(z).
-5*(z + 1)**2*(z + 24)
Let y(f) be the third derivative of f**6/840 - 19*f**5/42 - 193*f**4/42 - 388*f**3/21 - f**2 - 31*f + 1. Determine g so that y(g) = 0.
-2, 194
Let d(i) be the second derivative of 1369*i**4/16 - 777*i**3/4 + 1323*i**2/8 - 120*i - 1. Factor d(u).
3*(37*u - 21)**2/4
Let q(j) be the second derivative of -j**5/210 - 5*j**4/84 - 2*j**3/7 - 44*j**2 - 115*j. Let k(v) be the first derivative of q(v). Factor k(o).
-2*(o + 2)*(o + 3)/7
Let r(g) = 6*g**2 + 28*g - 18. Suppose 12*n = 59 + 1. Let m(y) = -4*y**2 - 18*y + 12. Let b(w) = n*r(w) + 8*m(w). Find x, given that b(x) = 0.
-3, 1
Let a(o) = o**2 + 4*o + 29. Let v be a(-5). Factor -