ne j so that h(j) = 0.
0, 1/4, 1
Let n(x) be the second derivative of 1/189*x**7 + 1/18*x**4 + 0*x**2 + 4/27*x**3 - 1/18*x**5 - 2*x - 1/45*x**6 - 98. Find k such that n(k) = 0.
-1, 0, 1, 4
Suppose -1848*m - 5*n - 9 = -1849*m, -2*n = 2*m - 6. Suppose 1/2*i**m + 9/2*i**2 + 0 + 5*i**3 + 0*i = 0. Calculate i.
-9, -1, 0
Let o(y) be the first derivative of y**5/5 - 31*y**4/4 + 94*y**3 - 322*y**2 + 392*y - 2064. Determine v so that o(v) = 0.
1, 2, 14
Let x(a) be the third derivative of a**6/24 - 109*a**5/12 - 2015*a**4/12 - 580*a**3 + 2*a**2 - 22*a + 2. Let x(k) = 0. What is k?
-6, -1, 116
Let w(j) = 3*j**2 + 79*j - 421. Let p be w(-31). Let s be 8/(0 + 1) + -1. Let 4 - s*i**2 - i**3 + p*i**5 + i**5 + 3*i**4 - 13*i**5 = 0. What is i?
-2, -1, 1
Let j(c) be the third derivative of -c**8/504 - 38*c**7/945 - 38*c**6/135 - 17*c**5/27 + 25*c**4/36 - 90*c**2 + 14*c. Solve j(y) = 0 for y.
-5, -3, 0, 1/3
Factor 4*d**3 + 811 - 104*d**2 + 698*d - 243 + 112 - 126*d.
4*(d - 17)*(d - 10)*(d + 1)
Let s(a) = -a**3 - 5*a**2 + 5*a - 1. Let u be s(-6). Let b = 2537 + -2535. Suppose -u + 0*g + 2*g**b + 1 + 8*g - 6 = 0. Calculate g.
-5, 1
Let z(x) be the first derivative of 2*x**3/9 + 22*x**2 - 272*x/3 - 507. Suppose z(d) = 0. Calculate d.
-68, 2
Let g = -24668/23 - -1071. Let n = 9/115 - g. Solve n*k**4 + 0 - 18/5*k - 32/5*k**3 + 42/5*k**2 = 0 for k.
0, 1, 3/2
Let o(c) be the second derivative of -c**9/12096 - c**8/1792 + c**4/12 - c**3/6 + 2*c + 41. Let v(d) be the third derivative of o(d). Factor v(w).
-5*w**3*(w + 3)/4
Let a(g) be the third derivative of -1/20*g**6 - 1/20*g**5 - 18*g**2 + 1/70*g**7 + 1/4*g**4 + 0 + 0*g**3 + 0*g. Factor a(o).
3*o*(o - 2)*(o - 1)*(o + 1)
Let y be -5 - ((-1)/(-6) + (-2 - 4)). Let o(f) be the second derivative of -1/4*f**5 - 15*f - 5*f**2 + y*f**4 + 5/6*f**3 + 0. Determine h, given that o(h) = 0.
-1, 1, 2
Factor 399 - 1/3*a**2 - 12*a.
-(a - 21)*(a + 57)/3
Let q(n) be the first derivative of -1125*n - 42 - 5/3*n**3 + 75*n**2. Factor q(p).
-5*(p - 15)**2
Let c be 80/6*(-9)/(-4). Suppose 2*o - c = -3*o. Solve -z + 3*z + 7*z - 6*z + o - 3*z**2 = 0 for z.
-1, 2
Suppose 12 = 2*r + t, -3*r = 3*t + 2*t - 25. Suppose -5*z = -h + 15, r*z = -4*h + h - 15. Factor -4/9*j**2 + h + 0*j.
-4*j**2/9
Let p(s) = 13*s - 47. Let t be p(4). Suppose 0 = -44*i + t*i + 78. Factor 0 - b - 1/2*b**3 + 3/2*b**i.
-b*(b - 2)*(b - 1)/2
Let n(h) be the first derivative of -h**4/28 + h**3/3 - 11*h**2/14 + 5*h/7 - 2413. Solve n(a) = 0 for a.
1, 5
Let x(v) be the second derivative of 1 + 30*v - 74/21*v**3 + 228/7*v**4 + 1/105*v**6 - 1369/7*v**2 + 37/35*v**5. Suppose x(o) = 0. Calculate o.
-37, -1, 1
Let g be (-128)/(-32) + ((-18)/3)/(-3). Let x(v) be the third derivative of -4*v**2 + 0*v - 1/6*v**g - 5/3*v**4 + 0 + 0*v**3 + 9/5*v**5. Solve x(i) = 0.
0, 2/5, 5
Let b = 8 + -6. Suppose -61*t = -55*t. Suppose 11 - 5*m - 1 - 5*m**b + t = 0. Calculate m.
-2, 1
Suppose 0 = 3*g - 3*i + 3, -3*g + 4*i - 4 = 2. Let q be g/6 + 17391/99. Factor -25/4*r**3 - q*r + 54*r**2 + 128 + 1/4*r**4.
(r - 8)**3*(r - 1)/4
Let k(h) = -45*h**2 + 231*h + 24. Let j(t) = 88*t**2 - 457*t - 48. Let f(q) = -5*j(q) - 9*k(q). Determine d so that f(d) = 0.
-4/35, 6
Let i(y) be the second derivative of -y**5/80 + 17*y**4/48 - 31*y**3/24 + 15*y**2/8 - 118*y + 1. Solve i(w) = 0 for w.
1, 15
Let i be (-86)/(-559)*(-104)/(-36). Factor i*h**5 + 16/9*h**3 - 16/9*h**4 + 0 + 0*h**2 + 0*h.
4*h**3*(h - 2)**2/9
Let i(l) be the third derivative of -23/24*l**4 + 2*l**2 + 1/20*l**5 + 0 + 7/3*l**3 + 3*l. Solve i(b) = 0 for b.
2/3, 7
Factor 3142/5*g**2 + 7442/15*g**4 + 32/15 + 3172/3*g**3 + 208/3*g.
2*(g + 1)**2*(61*g + 4)**2/15
Solve 1/7*s**5 + 10/7*s**4 - 128/7 - 8/7*s**2 - 128/7*s + 4*s**3 = 0 for s.
-4, -2, 2
Let d(w) be the first derivative of 88 - 5/7*w**2 + 2/21*w**3 + 8/7*w. Let d(n) = 0. What is n?
1, 4
Let z(p) be the second derivative of -p**7/1575 + p**6/360 - p**5/300 - 35*p**4/4 + 72*p. Let r(k) be the third derivative of z(k). Factor r(j).
-2*(j - 1)*(4*j - 1)/5
Let v be 11970/(-522) - -23 - (56/435)/(-2). Let d(n) be the first derivative of 14/45*n**3 - 2/15*n**2 + 15 - v*n**4 - 2/15*n. Factor d(r).
-2*(r - 1)**2*(4*r + 1)/15
Factor 11/2*i - 1/2*i**2 + 90.
-(i - 20)*(i + 9)/2
Suppose 43*c - 15502 = 10341. Let u = c - 3004/5. Solve -1/5*l**2 - 4/5*l**3 + u*l**4 + 0*l + 4/5*l**5 + 0 = 0.
-1, -1/4, 0, 1
Let p(x) = -196*x**2 - 1137*x + 237. Let i be p(-6). What is o in 3/2 - 15/4*o**2 + 25/4*o**i - 25/4*o + 9/4*o**4 = 0?
-3, -1, 2/9, 1
Let g = 66 - 64. Let j(f) = -f**3 + f**2 + f + 1. Let o(s) = 5*s**3 + 8*s**2 - 11*s - 6. Let b(d) = g*j(d) + o(d). Factor b(i).
(i - 1)*(i + 4)*(3*i + 1)
Let d be ((-8)/(-11))/4 - 2853/(-99). Find a such that -5*a**2 - 2*a**4 - 22*a**2 - 3*a**4 + 3*a**4 + d*a**2 = 0.
-1, 0, 1
Factor -1/2*m**3 - 137/2*m**2 + 0*m + 0.
-m**2*(m + 137)/2
Suppose 7 = 2*l + 2*x + 3*x, 5*x - 40 = -5*l. Suppose -l = -r - 8. Factor -63*j**2 + 42*j + 3*j**r + 134*j - 1029 + 265*j.
3*(j - 7)**3
Suppose -s - 3 = 2*x, -x - 12 = s + 3*s. Suppose x = -5*o - 3*o + 120. Factor -3*q**3 - 14 - q**2 + 5 - 2*q**2 + o*q.
-3*(q - 1)**2*(q + 3)
Factor 14283/2 - 3/2*q**3 - 13869/2*q - 411/2*q**2.
-3*(q - 1)*(q + 69)**2/2
Let o be 10*4/8*18/30. Let i = 5 + 10. Factor -i*f**2 + 38*f + 2*f**3 - 12 - 14*f + f**o.
3*(f - 2)**2*(f - 1)
Let f be 3/9*3 - 230/(-15). Let o = 539/1626 - -1/542. Factor o*r**2 + f + 14/3*r.
(r + 7)**2/3
Let g(a) be the second derivative of -8*a**6/15 - 1954*a**5/5 + 2949*a**4 - 8865*a**3 + 13311*a**2 + 1800*a. Let g(u) = 0. What is u?
-493, 3/2
Let m be ((-1)/3)/(-1*4/36). Let l(z) = -5 - z + m + 0*z + 7*z. Let i(u) = u**2 + u. Let r(w) = 2*i(w) - l(w). Factor r(v).
2*(v - 1)**2
Let c(f) be the second derivative of -21*f + 625*f**2 - 2*f**5 + 25*f**4 + 1/15*f**6 - 500/3*f**3 + 2. Solve c(y) = 0 for y.
5
Let f = 450906 - 3156191/7. Factor 37/7 - f*b**2 + 4/7*b**3 + 110/7*b.
(b - 37)*(b - 1)*(4*b + 1)/7
Let r = 558 - 541. Suppose -5*k - r = -t, k = -3*t - k. Find i, given that 35/4 - 135/4*i - 5*i**t = 0.
-7, 1/4
What is b in 6/5*b**4 + 12/5*b + 2/5*b**5 - 6/5*b**3 + 0 - 14/5*b**2 = 0?
-3, -2, 0, 1
Let t(z) = 141*z - 433. Let w be t(3). Let g be (182/(-390))/(1/w). Factor n**2 + g*n + 8/3.
(n + 4)*(3*n + 2)/3
Let y(o) = o**2 + 14*o. Let z be y(-14). Suppose m + z*m = 6. Let 0*j**4 + 4*j**4 + m - 3 + 1 - 8*j**2 = 0. Calculate j.
-1, 1
Let j(a) = -3*a**2 - 13*a + 7. Let y be j(-4). Let z be (4/18)/((-2563)/(-231) - y). What is l in 1/3*l**5 + 2/3 + 8/3*l**2 - 2/3*l**3 - 2/3*l**4 - z*l = 0?
-2, 1
Let a(c) = -180*c**2 + 122512*c + 134045648. Let u(n) = 101*n**2 - 70007*n - 76597513. Let i(z) = -9*a(z) - 16*u(z). Solve i(k) = 0 for k.
-2188
Let q(t) be the third derivative of -t**6/60 + 2*t**5/5 + 265*t**4/12 - 92*t**3 + 1565*t**2. Factor q(g).
-2*(g - 23)*(g - 1)*(g + 12)
Let h(v) be the third derivative of -11/105*v**5 + 75*v**2 + 0 - 2/35*v**6 - 2/147*v**7 + 0*v**3 - 1/1176*v**8 - 1/12*v**4 + 0*v. Find w such that h(w) = 0.
-7, -1, 0
Let j = -630179/3 + 210070. Let j*s**2 + 9*s - 20*s**3 + 2/3 = 0. Calculate s.
-2/5, -1/12, 1
Let k(r) be the second derivative of -r**4/12 + 143*r**3/54 + 8*r**2/9 + 72*r + 1. Let k(z) = 0. What is z?
-1/9, 16
Let i(q) = q + q + q**2 + 1 + 2*q - 4*q. Let a(c) = -c**2 + 24*c + 17. Suppose 1 = -3*x + 4. Let y(f) = x*a(f) + 4*i(f). Let y(v) = 0. Calculate v.
-7, -1
Let u(c) be the first derivative of 2*c**5/25 - 19*c**4/10 + 88*c**3/15 + 64*c**2/5 + 2167. Factor u(t).
2*t*(t - 16)*(t - 4)*(t + 1)/5
Suppose 7 - 13 = 6*d. Let l(b) = 4*b**3 - 58*b**2 - 126*b - 64. Let x(a) = a**2 + a. Let c(y) = d*l(y) - 2*x(y). Factor c(w).
-4*(w - 16)*(w + 1)**2
Let k be ((-392)/70)/(111/(-333)). Factor -k*j + 4/5*j**2 - 184/5.
4*(j - 23)*(j + 2)/5
Suppose -4*a = -16*a + 3*a. Let y(n) be the second derivative of 0*n**3 + 0*n**2 + 0*n**4 - 2/5*n**5 - 8*n + 1/15*n**6 + a. Suppose y(g) = 0. What is g?
0, 4
What is z in -2642/15*z**2 - 2/15*z**5 - 656*z - 480 + 14/5*z**3 + 14/5*z**4 = 0?
-4, -1, 15
Let u be -20*1/2 + (3 - (-290)/40). Factor 3/2*k + u*k**3 - 9/4*k**2 + 4.
(k - 8)*(k - 2)*(k + 1)/4
Let k be 81/(-180)*((-168)/(-378))/(3/(-12 + 3)). Find a such that 12*a**2 + k*a**4 + 0 + 0*a + 27/5*a**3 = 0.
-5, -4, 0
Let w(r) be the first derivative of 2*r**3/33 - 11*r**2 + 476*r/11 + 6421. Factor w