 second derivative of -2/3*j**2 - m*j**3 - 1/9*j**4 + 0 - 8*j. Suppose i(o) = 0. What is o?
-1
Let n be 4/(4 + ((-35)/5 - -4)). Let u(z) be the first derivative of -1/10*z**5 - 1/6*z**3 + 0*z**2 + 0*z - 1/4*z**n + 2. Factor u(c).
-c**2*(c + 1)**2/2
Let c be (-6 - (4 + -9))*0. Let k(x) be the third derivative of -x**4 + c*x + 0 - 1/40*x**6 - 8*x**2 + 2*x**3 + 1/4*x**5. Factor k(w).
-3*(w - 2)**2*(w - 1)
Let b(r) = -r**2 + 10*r - 6. Let j be b(9). Suppose -6*n = -j*n - 27. What is v in 12*v + 7*v**2 + 6*v**2 - n - v**2 - 15*v**2 = 0?
1, 3
Let f = 575/28 + -142/7. Let c(u) be the second derivative of 0 + 5*u + f*u**4 - 1/3*u**3 - 1/2*u**2. Find y such that c(y) = 0.
-1/3, 1
Let y(r) be the first derivative of r**6/6 - r**4/4 + 57. Find q such that y(q) = 0.
-1, 0, 1
Suppose -11/3*j**4 - j**5 - 4/3*j + 7/3*j**3 + 0 + 11/3*j**2 = 0. What is j?
-4, -1, 0, 1/3, 1
Suppose 6/17*v + 16/17*v**2 + 0 + 0*v**4 + 12/17*v**3 - 2/17*v**5 = 0. What is v?
-1, 0, 3
Suppose 112 = 26*n + 60. Let 10*a + 15/2 + 5/2*a**n = 0. What is a?
-3, -1
Factor -24/5*p**3 - 66/5*p + 24/5 + 63/5*p**2 + 3/5*p**4.
3*(p - 4)*(p - 2)*(p - 1)**2/5
Let x be 28/6 - (-6)/18. Let b(q) = q + 13. Let h be b(-9). Solve h + z**2 - z - 13*z + x*z + 5*z = 0 for z.
2
Suppose 0 = -3*m - 4*c, -2*m + 3*m = c. Suppose 17 = 4*s - v, s + 1 + m = -5*v. Determine d so that -s*d + 0*d + d**2 + 6*d = 0.
-2, 0
Let u = 40/13 + -68/39. Let o be 15/5 - (-14)/(-6). Factor -2*i**2 + 2/3*i**3 - 10/3*i - u + o*i**4.
2*(i - 2)*(i + 1)**3/3
Let k(i) = 2*i**2 + 3*i + 1. Let r be k(-2). Suppose -h = r*h + h. Factor 1/3*d**3 - 1/3*d**5 + 0 - 1/3*d**4 + 1/3*d**2 + h*d.
-d**2*(d - 1)*(d + 1)**2/3
Let i(y) be the first derivative of 11*y**6/200 + y**5/5 - y**4/10 + 13*y**2 + 9. Let x(f) be the second derivative of i(f). Factor x(j).
3*j*(j + 2)*(11*j - 2)/5
Suppose -9/2*r**2 + 9/4 + 9/4*r**4 - 3/2*r**3 + 3/4*r + 3/4*r**5 = 0. What is r?
-3, -1, 1
Let t(s) be the third derivative of 96*s**7/7 + 70*s**6/3 - 13*s**5/4 - 35*s**4/8 + 5*s**3/3 + 3*s**2 - 10*s. Determine r, given that t(r) = 0.
-1, -2/9, 1/8
Suppose 7 = 3*y - 2. Determine k so that 2*k**2 - 2*k**4 - k**3 + 2*k**y + k**4 + 0*k**4 = 0.
-1, 0, 2
Suppose 0 = -1232*y + 1207*y. Factor y - 2/7*o**3 + 2/7*o**2 + 0*o.
-2*o**2*(o - 1)/7
Let g be (128/28)/((-3)/(84/(-10))). Factor 152/5*n - g + 4*n**2.
4*(n + 8)*(5*n - 2)/5
Let u = -4 - -4. Let a be 34/6 - 5 - u. Find p such that 0 - 2/3*p**2 + a*p**4 - 1/3*p + 1/3*p**3 = 0.
-1, -1/2, 0, 1
Suppose -u - 163 = -3*p, -2*u + 268 = 5*p - 0*u. Solve -p*f**2 + 55*f**2 - 3 + f + f = 0 for f.
-3, 1
Let t(j) = 6*j**4 - 2*j**3 - 6*j**2 + 2*j - 14. Let u(p) = -6*p**2 + 4*p**2 + 8 - 2*p + 2*p**4 + 3*p - p**3 - 13. Let x(h) = 5*t(h) - 14*u(h). Factor x(f).
2*f*(f - 1)*(f + 1)*(f + 2)
Suppose -4*z = -10*z + 18. Let j = -10/17 - -166/51. Suppose 16/3*c + j + 10/3*c**2 + 2/3*c**z = 0. What is c?
-2, -1
Suppose 5*k = -k. Suppose k = 6*h - 5*h. Determine c so that h*c**3 + 0 + 1/7*c - 1/7*c**5 - 2/7*c**4 + 2/7*c**2 = 0.
-1, 0, 1
Let g(y) be the second derivative of -y**6/660 - y**5/110 - y**4/44 - y**3/33 + 12*y**2 + y - 15. Let w(d) be the first derivative of g(d). Solve w(m) = 0.
-1
Let 4/5*c + 0 - c**2 + 1/5*c**3 = 0. What is c?
0, 1, 4
Let o = -1570 + 1570. Solve 1/7*p**4 - 4/7*p + 3/7*p**3 + o + 0*p**2 = 0 for p.
-2, 0, 1
Let q(n) be the third derivative of n**5/330 + 73*n**4/33 + 21316*n**3/33 + 75*n**2 - 1. Factor q(u).
2*(u + 146)**2/11
Let t(g) be the third derivative of g**7/70 - 41*g**6/40 + 117*g**5/20 - 115*g**4/8 + 19*g**3 - g**2 - 31*g. Factor t(m).
3*(m - 38)*(m - 1)**3
Let s(c) = -7*c**4 - 6*c**3 + 12*c**2 + 10*c - 13. Let o(t) = -15*t**4 - 12*t**3 + 24*t**2 + 21*t - 27. Let h(b) = -4*o(b) + 9*s(b). Factor h(n).
-3*(n - 1)**2*(n + 1)*(n + 3)
Let m(g) = -g**2 - 2. Let l(n) = -30*n**3 + 20*n**2 + 30*n + 55. Let x(j) = l(j) + 25*m(j). Let x(d) = 0. Calculate d.
-1, -1/6, 1
Suppose -3*l - 3*m - 12 = 0, 0 = -5*l + 4*l - 3*m. Let s be 10/(-20)*3/l. Suppose 0 + s*z**4 + 0*z - 1/4*z**2 + 1/4*z**5 - 1/4*z**3 = 0. What is z?
-1, 0, 1
Suppose 5 = 5*o - 0*a + 4*a, 2*o - 2*a = 2. Let l be (o/(-3))/(8/(-148)) - 2. Factor -l*c**3 - 5*c**2 + 6*c - 4/3.
-(c + 2)*(5*c - 2)**2/6
Let p = -1747/2 - -874. Suppose -p*a**2 + 3/2*a + 2 = 0. Calculate a.
-1, 4
Let 40/9 + 44/9*o + 4/9*o**2 = 0. What is o?
-10, -1
Suppose -2*y + 3*y - 39 = -2*i, 5*i - y = 108. Factor 41*n**2 - 23*n**2 - i*n**2 + 6*n**3.
3*n**2*(2*n - 1)
Let b be (-620)/(-160) + (-4)/(-32). Factor f**b + 0 + 4*f**2 - 11/3*f**3 - 4/3*f.
f*(f - 2)*(f - 1)*(3*f - 2)/3
Suppose -s + 2*c = -c - 20, 5 = -4*s - 5*c. Let f be (s + (2 - 1))*(-11)/(-429). Let 8/13 - 2/13*l**2 - f*l**3 + 8/13*l = 0. Calculate l.
-2, -1, 2
Let 0 - 2*g**2 - 2/3*g + 8/3*g**3 = 0. What is g?
-1/4, 0, 1
Let g(d) be the third derivative of d**7/42 + d**6/6 - 7*d**5/12 - 25*d**4/12 - 347*d**2. Factor g(c).
5*c*(c - 2)*(c + 1)*(c + 5)
Let p be (-2)/3*(-135)/18. Suppose -p*o + 44 = 4*s - o, 1 = o. Factor -85*z**4 - 5*z**2 + s*z**4 - z**2 - 45*z**3.
-3*z**2*(5*z + 1)*(5*z + 2)
Let u be 840/(-108) + ((-2)/(-9))/(-1). Let d be 9 + u + -1 + 0. Factor d*m**2 + 3/2*m**3 + 3*m**4 + 3/2*m**5 + 0*m + 0.
3*m**3*(m + 1)**2/2
Let x(f) be the third derivative of -f**8/560 - f**7/1260 + f**6/120 + f**5/180 - 5*f**3/6 - f**2. Let d(t) be the first derivative of x(t). Factor d(w).
-w*(w - 1)*(w + 1)*(9*w + 2)/3
Let b(o) be the first derivative of 5/2*o**3 + 5/3*o**4 + 3*o + 4 + 1/4*o**5 + 0*o**2. Let a(j) be the first derivative of b(j). Let a(u) = 0. Calculate u.
-3, -1, 0
Let b = -33 - -17. Let x be b/(-7) - (-18)/(-63). Factor 18*y**4 + 30 + 13*y**3 + y**5 + 29*y**3 + 2*y**5 + 27*y - 24 + 48*y**x.
3*(y + 1)**4*(y + 2)
Let d = -257 - -111. Let j = 146 + d. Determine v so that j*v**3 + 0*v**4 + 0*v**2 + 0 - 1/3*v**5 + 0*v = 0.
0
Let k(b) be the second derivative of -b**5/4 + 115*b**4/12 - 155*b**3/3 + 100*b**2 + 313*b. Factor k(n).
-5*(n - 20)*(n - 2)*(n - 1)
Suppose 0*f = 5*f - 3*r - 20, -8 = -2*f + 3*r. Determine w so that f*w**4 - 2*w**3 - 1 + 9*w**2 - 5*w**3 - 4*w**3 - w = 0.
-1/4, 1
Let -66*w**3 + 0*w + 0 - 50/7*w**5 - 126*w**2 + 370/7*w**4 = 0. Calculate w.
-1, 0, 21/5
Let w be 2367/(-591) - (3 - 7). Let r = w - -205/1576. Factor -1/8*c - r*c**4 - 3/8*c**2 - 3/8*c**3 + 0.
-c*(c + 1)**3/8
Let k = 15898 - 143080/9. Factor -8/3*h + 22/9 + k*h**2.
2*(h - 11)*(h - 1)/9
Let m be (264/15)/22 + (-7)/15. Factor -4/3 - 5/3*y**2 + m*y**3 + 8/3*y.
(y - 2)**2*(y - 1)/3
Let z be (-201)/(-54) - (4 + 0). Let c = 11/9 - z. Find t such that -3*t + 0 - c*t**2 = 0.
-2, 0
Let d(w) be the first derivative of -4*w**3/3 + 22*w**2 - 72*w - 251. Factor d(x).
-4*(x - 9)*(x - 2)
Factor 1940*l - 13 - 8 - 5867*l**2 - 15 - 41178*l**2 + 16.
-5*(97*l - 2)**2
Let c(v) be the first derivative of 9*v**6 - 9*v**4 - 16*v**3/3 - v**2 - 14. Suppose c(n) = 0. What is n?
-1/3, 0, 1
Let y(u) be the third derivative of 0 - 9*u**2 - 1/9*u**3 + 0*u - 1/18*u**4 - 1/90*u**5. Find p such that y(p) = 0.
-1
Suppose -578*t**3 + 3 + 581*t**3 + 21*t**2 - 3*t**5 - 15 - 9*t**4 = 0. Calculate t.
-2, -1, 1
Let d(f) be the second derivative of -f**6/1800 + f**5/150 - f**4/30 - 5*f**3/3 - 4*f. Let q(s) be the second derivative of d(s). Factor q(w).
-(w - 2)**2/5
Let p(g) be the first derivative of -g**4/14 + 8*g**3/7 - 3*g**2 - 28*g - 125. Let p(m) = 0. Calculate m.
-2, 7
Let r(x) be the first derivative of 0*x**2 + 20 - 1/9*x**3 + 1/24*x**4 + 0*x. Factor r(f).
f**2*(f - 2)/6
Let t(v) be the first derivative of -5*v**2 + 2/5*v**5 + 17 - 2*v**3 - 4*v + 1/2*v**4. Factor t(b).
2*(b - 2)*(b + 1)**3
Let g(h) be the third derivative of h**5/12 + 5*h**4/24 + h**3/2 - 13*h**2. Let w(d) = 5*d**2 + 5*d + 2. Let q(j) = -2*g(j) + 3*w(j). Let q(u) = 0. What is u?
-1, 0
Let x(a) = -15*a**3 - 15*a**2 - 6. Let w(t) = -2 - t**2 + 6*t + 6*t - 13*t + 3. Let l(b) = 6*w(b) + x(b). Let l(y) = 0. Calculate y.
-1, -2/5, 0
Let n(q) be the second derivative of -q**5/100 - 19*q**4/60 - 7*q**3/6 - 17*q**2/10 - q - 76. Suppose n(w) = 0. Calculate w.
-17, -1
Suppose 0 = -6*k - 82 - 440. Let v be 6/(-4)*116/k. Find c such that 1/2*c**3 + 0 + 0*c - c**v = 0.
0, 2
Let g(o) be the second derivative of -o**7/30240 - o**6/2880 - o**5/720 - 5*o**4/12 + 15*o. Let k(c) be the third derivative of g(c). Solve k(r) = 0 for r.
