3
Suppose -125*n - 1 + 3 + n**3 + 122*n = 0. Calculate n.
-2, 1
Let l(o) be the third derivative of -o**9/35280 + 11*o**8/70560 + o**7/8820 - 11*o**5/60 - 5*o**2. Let c(v) be the third derivative of l(v). Factor c(q).
-2*q*(q - 2)*(6*q + 1)/7
Let u(x) be the third derivative of 0 - 1/48*x**4 - 1/30*x**5 - 12*x**2 + 0*x + 0*x**3 + 1/48*x**6. Let u(s) = 0. Calculate s.
-1/5, 0, 1
Let q(f) be the second derivative of -3/4*f**2 - 1/8*f**3 - 13*f + 0 + 1/16*f**4. Factor q(r).
3*(r - 2)*(r + 1)/4
Let t(z) be the second derivative of z**7/168 - 7*z**6/30 - z**5/80 + 7*z**4/12 - 34*z + 2. Let t(b) = 0. Calculate b.
-1, 0, 1, 28
Suppose 20*y + 54 = 38*y. Suppose -u**2 + 1/2*u + 0 + 1/2*u**y = 0. Calculate u.
0, 1
Let t = 42 + -28. Factor 25*g - 7*g + 0 - t*g - 4 - g**2.
-(g - 2)**2
Let t(c) be the second derivative of -4/21*c**4 - 4 - 6/7*c**2 + 13/21*c**3 - 2*c + 1/70*c**5. Suppose t(n) = 0. What is n?
1, 6
Let x(w) be the first derivative of -5/2*w**2 + 5/3*w**3 - 10*w + 10. Factor x(i).
5*(i - 2)*(i + 1)
Let v(g) be the second derivative of -13*g**5/14 + 22*g**4/7 - 23*g**3/7 + 2*g**2/7 - 89*g. Determine b so that v(b) = 0.
2/65, 1
Let -26/5*x**2 - 22/5*x**3 + 8/5 + 8*x = 0. Calculate x.
-2, -2/11, 1
Let o(g) = -6*g**4 + 62*g**3 - 84*g**2 + 28*g. Let t(l) = 7*l**4 - 60*l**3 + 83*l**2 - 27*l. Let f(y) = 3*o(y) + 4*t(y). Find w, given that f(w) = 0.
0, 2/5, 2, 3
Suppose 0 = 13*a + 14*a. Let g(u) be the third derivative of 0*u - 1/300*u**5 + 5*u**2 - 1/30*u**3 + a + 1/60*u**4. Factor g(q).
-(q - 1)**2/5
Suppose 55 = 5*p + 475. Let d be (-58)/(-319) - (1 + p/22). Find h such that -3/2*h + 3/2*h**d + 3/2 - 3/2*h**2 = 0.
-1, 1
Let r(x) = x**2 + x. Let w(c) = 0*c**2 - 3 - c**2 + 4. Let q(d) = 2*r(d) + w(d). Determine p, given that q(p) = 0.
-1
Let r(d) be the second derivative of -d**7/21 + d**6/3 - 7*d**5/10 + d**4/2 - 151*d. Factor r(p).
-2*p**2*(p - 3)*(p - 1)**2
Factor 82801 - t**2 + 2*t - 82801.
-t*(t - 2)
Let p = -5 - -26. Let n = -17 + p. Factor 2*d + n*d - 29*d**3 + 23*d**3 - 3*d**4 + 3*d**2.
-3*d*(d - 1)*(d + 1)*(d + 2)
Factor -45779 + 45779 - 7*z - 5*z**3 - 3*z + 15*z**2.
-5*z*(z - 2)*(z - 1)
Factor 1/5*x**4 - 3/5*x**2 + 2/5*x**3 + 0*x + 0.
x**2*(x - 1)*(x + 3)/5
Suppose 55*o = -a + 54*o - 1, -5*a - o + 15 = 0. Determine k so that 0*k + 3/5*k**a + 0*k**3 - 6/5*k**2 + 3/5 = 0.
-1, 1
Suppose 0 = -106*u + 30*u + 456. Let r(h) be the third derivative of -3/40*h**u - 29/20*h**5 + 25/2*h**3 + 0*h - 10*h**2 - 65/8*h**4 + 0. Factor r(n).
-3*(n + 5)**2*(3*n - 1)
Let v(i) be the second derivative of i**8/560 - i**7/1050 - i**6/300 + 5*i**2 + 12*i. Let a(z) be the first derivative of v(z). Factor a(g).
g**3*(g - 1)*(3*g + 2)/5
Suppose 48 = 26*y + 17 - 21. Factor 25/6 - 5/3*f + 1/6*f**y.
(f - 5)**2/6
Let i(d) be the first derivative of -d**6/36 - 2*d**5/3 - 77*d**4/24 + 121*d**3/9 - 3. Factor i(l).
-l**2*(l - 2)*(l + 11)**2/6
Let a(k) = -3*k**3 + 18*k**2 + 15*k + 12. Let h be 4/(-22) + (-448)/77. Let r(f) = f**3 - f**2 - 1. Let v(z) = h*r(z) - a(z). Factor v(q).
-3*(q + 1)**2*(q + 2)
Let b(h) be the third derivative of -h**8/28 + 12*h**7/35 + 3*h**6/40 - 19*h**5/20 + 3*h**4/4 - 78*h**2 + 2. Suppose b(t) = 0. What is t?
-1, 0, 1/2, 6
Suppose 11*m - 9*m - 5*f = 39, -2*f = 14. Solve -25/2*l - 5/4*l**m - 125/4 = 0 for l.
-5
Let b(m) be the first derivative of -m**4/14 - 2*m**3/7 + 45*m**2/7 + 50*m + 146. Factor b(k).
-2*(k - 7)*(k + 5)**2/7
Suppose j + 5*w - 19 = -j, -2*w + 46 = 4*j. Determine i so that 11*i**5 - j*i**5 - 2*i**4 - 4*i**2 + 14*i**4 - 9*i**4 = 0.
-1, 0, 2
Let k = -236/13 - -242/13. Suppose 2/13*u - k*u**2 + 0 - 2/13*u**4 + 6/13*u**3 = 0. Calculate u.
0, 1
Let t = 36 + -42. Let x(p) = -5*p**3 - 16*p**2 + 5*p + 10. Let m(i) = 15*i**3 + 47*i**2 - 15*i - 30. Let y(r) = t*m(r) - 17*x(r). Find c, given that y(c) = 0.
-2, -1, 1
Let 134*x - 16 + 154*x - 260*x - 3*x**3 + 5*x**3 - 14*x**2 = 0. Calculate x.
1, 2, 4
Let y = -1461/4 - -24869/68. Factor 0*n**2 + y*n + 0 - 2/17*n**3.
-2*n*(n - 2)*(n + 2)/17
Let o(a) be the first derivative of -a**7/84 - a**6/20 - 3*a**5/40 - a**4/24 + 4*a + 5. Let b(n) be the first derivative of o(n). Solve b(f) = 0.
-1, 0
Let w = 18402 - 18400. Let -5*y - 5/4*y**4 - 5/2*y**3 + 35/4*y**w + 0 = 0. Calculate y.
-4, 0, 1
Let g(f) be the second derivative of -f**6/40 - 9*f**5/40 - f**4/2 + 3*f**3/4 + 27*f**2/8 - 502*f. Determine o, given that g(o) = 0.
-3, -1, 1
Let v be (2 + -1)*3 - -2. Suppose -2*b + 1 + 1 = -3*s, 0 = -v*s - 2*b + 18. What is p in 4*p**4 - p**4 - 5*p**4 + 0*p**4 + s*p**3 = 0?
0, 1
Let x = 32309/4 + -8075. Find r such that x*r + 3/2 + 3/4*r**2 = 0.
-2, -1
Let z(l) be the third derivative of -l**6/60 + l**5/10 - l**4/6 - 3*l**2 + 8*l. Let z(j) = 0. Calculate j.
0, 1, 2
Suppose -m - 4 + 7 = 0. Find z such that -4*z**2 + 0*z**2 + 2*z**m + 0*z + z + z = 0.
0, 1
Factor -6*f - 30*f**2 + 3*f**4 + 10*f**2 + 11*f**2.
3*f*(f - 2)*(f + 1)**2
Let t(b) be the first derivative of 1/8*b**2 - 1/12*b**3 + 1/20*b**5 + 0*b - 4 - 1/16*b**4. Let t(s) = 0. What is s?
-1, 0, 1
Let k(g) be the third derivative of -g**10/30240 + g**8/4032 - g**5/30 - 24*g**2. Let f(a) be the third derivative of k(a). Factor f(n).
-5*n**2*(n - 1)*(n + 1)
Let i = -84 - -87. Suppose 3*r - 20 = -2*r. Find g such that 4*g**i + r*g**3 - 4*g**3 + 6*g**2 - 2*g**2 = 0.
-1, 0
Let m be (-6)/9*(5 - (8 - 0)). Let p(u) be the second derivative of 6*u - m*u**2 + 0 + 2/3*u**3 + 2/3*u**4. Find v, given that p(v) = 0.
-1, 1/2
Factor -2573*k**4 + 416*k - 320 - 137*k**2 - 16*k**3 + 53*k**2 + 2577*k**4.
4*(k - 4)**2*(k - 1)*(k + 5)
Let c(k) = -11*k**2 + 396*k + 5. Let y be c(36). Let v(n) be the first derivative of 0*n**2 + 0*n - 2/7*n**4 - 1/21*n**6 + 0*n**3 - 7 + 8/35*n**y. Factor v(f).
-2*f**3*(f - 2)**2/7
Let n = 50 - 122. Let p = -215/3 - n. Let -p*u**2 + 1/3 + 0*u = 0. Calculate u.
-1, 1
Let q(o) = o**3 + 58*o**2 - 107*o + 783. Let j be q(-60). Solve -4/5 + 2/5*g**j + 4/5*g**2 - 2/5*g = 0 for g.
-2, -1, 1
Let p = -12 - 43. Let y(j) = j**4 + 9*j**3 - 5*j**2 - j - 4. Let a(i) = -15*i**4 - 125*i**3 + 70*i**2 + 15*i + 55. Let w(t) = p*y(t) - 4*a(t). Factor w(r).
5*r*(r - 1)*(r + 1)**2
Let f(y) be the first derivative of -y**3/6 + y**2/2 + 3*y/2 - 117. Factor f(k).
-(k - 3)*(k + 1)/2
Let g(x) be the first derivative of 5/2*x**2 - 5/3*x**3 + 5*x + 33 - 5/4*x**4. Factor g(k).
-5*(k - 1)*(k + 1)**2
Let h(c) = -c**3 + c**2 + 3*c - 2. Let g be h(2). Suppose -16*b + 23*b = -29*b + 72. Determine f, given that -1/2*f**b + g + f = 0.
0, 2
Let d(s) be the first derivative of -2*s**2 - 7 + 8/3*s**3 - 8*s + s**4. Factor d(o).
4*(o - 1)*(o + 1)*(o + 2)
Suppose -5*a - 17 = 4*l, l + 4*a = -0*l - 18. Suppose 0 = -0*o + 6*o - l*o. Find p, given that o + 4/9*p**2 + 4/9*p = 0.
-1, 0
Let c = 7 + -5. Let l = -837 + 842. Factor -m**c + 15 - 14 - 4*m - l.
-(m + 2)**2
Let f = -7748/25 - -310. Let g = 31/75 - f. Solve g*b**2 - 1/3*b**3 - 1/3*b**4 + 1/3*b + 0 = 0.
-1, 0, 1
Suppose 90 = f + 5*f. Suppose -f*y - y + 32 = 0. Factor 0 - 3*o + 15/2*o**y.
3*o*(5*o - 2)/2
Let 8/15*l**3 - 2/15*l**2 - 8/15*l**5 + 0*l + 2/15*l**4 + 0 = 0. Calculate l.
-1, 0, 1/4, 1
Let o(u) be the second derivative of -u**8/15960 + u**7/1596 - 2*u**6/855 + u**5/285 + u**3 + 25*u. Let h(z) be the second derivative of o(z). Factor h(m).
-2*m*(m - 2)**2*(m - 1)/19
Suppose 2*v - 8 = -q + 46, 54 = q + v. Let l = q - 52. Find j, given that 2/3 + 1/3*j**3 - 2/3*j**l - 1/3*j = 0.
-1, 1, 2
Let x be 15 + -5 + (-12)/2 + 0. Let w(m) be the second derivative of 1/4*m**x - 3*m**2 + 0 + 1/2*m**3 - 7*m. What is f in w(f) = 0?
-2, 1
Solve 136/9 + 4/9*z**2 + 140/9*z = 0 for z.
-34, -1
Let o(k) be the third derivative of 0*k - 3/5*k**3 - 1/20*k**4 + 0 - 1/300*k**6 - 29*k**2 + 1/30*k**5. Determine u, given that o(u) = 0.
-1, 3
Determine x, given that -14/5*x**3 + 584/5*x - 312/5*x**2 + 192/5 = 0.
-24, -2/7, 2
What is b in 16 + 5*b**4 + 6*b**2 + 8*b**3 - 8*b**4 - 28*b + b**4 = 0?
-2, 1, 4
Let a(w) be the third derivative of -w**5/60 + 2*w**4/3 + 80*w**2 - w. Factor a(n).
-n*(n - 16)
Factor -208*g**2 - 51*g**3 + 457*g - 2304 + 20*g**4 - 40*g**4 - 2377*g + 131*g**3 + 16*g**4.
-4*(g - 12)**2*(g + 2)**2
Let w be -21*(-3)/(-24)*84/(-63). Solve w*x - 5/2*x**2 + 1/2*x**3 - 3/2 = 0 for x.
1, 3
Find s such that 31*s**3 - 2*s**5 - 36*s**4 + 36*s**2 + 13*