second derivative of n(q). Find t such that f(t) = 0.
-1, 0
Let q(a) be the second derivative of 0 - 18*a**2 - 2*a**3 - 1/12*a**4 - 19*a. Factor q(p).
-(p + 6)**2
Let i(p) be the third derivative of -p**6/24 - 5*p**5/12 + 35*p**4/12 - 68*p**2. Factor i(d).
-5*d*(d - 2)*(d + 7)
Find z, given that -8/15*z**2 + 8/15 + 2/15*z - 2/15*z**3 = 0.
-4, -1, 1
Let z(b) = -b + 8. Let i be z(6). Suppose -4*h = -f + 18, -3*f = -0*f - h - 10. Let o**4 - 1 - i*o**4 + f*o**2 + 0*o**4 = 0. Calculate o.
-1, 1
Solve 5*o**2 - 38*o**5 - 12*o**4 + 35*o**5 + o**2 + 6 + 15*o - 12*o**3 = 0.
-2, -1, 1
Factor 36 - 30*u + 7*u**2 - 1/2*u**3.
-(u - 6)**2*(u - 2)/2
Let v = -868/13 - -16700/247. Factor 32/19 + v*c + 2/19*c**2.
2*(c + 4)**2/19
Factor -48*g + 47 - 3*g + 11*g - 2*g**3 - 15 + 16*g**2.
-2*(g - 4)*(g - 2)**2
Let d(k) be the third derivative of 0*k - 1/3*k**5 - 8/3*k**3 + 0 + 24*k**2 - 2*k**4. Find f, given that d(f) = 0.
-2, -2/5
Let t(h) be the third derivative of h**5/210 - 4*h**3/21 - 3*h**2 - 19. Factor t(l).
2*(l - 2)*(l + 2)/7
Let o(q) be the second derivative of 0*q**2 - 1/20*q**5 + 2*q + 0*q**3 + 0 + 1/6*q**4. Solve o(t) = 0 for t.
0, 2
Let f(j) = 836*j + 3 - 834*j - 5. Let n be f(3). Factor 0*o + 0*o**2 - 1/3*o**3 + 0 - 1/3*o**n.
-o**3*(o + 1)/3
Let t(i) be the second derivative of i**8/224 + i**7/70 - i**5/20 - i**4/16 - 21*i**2/2 - 11*i. Let k(s) be the first derivative of t(s). Factor k(m).
3*m*(m - 1)*(m + 1)**3/2
Suppose -5667*u + 5668*u - 5 = 0. Find a, given that 15/4 + 105/4*a**3 + u*a**4 + 165/4*a**2 + 95/4*a = 0.
-3, -1, -1/4
Let m(y) be the first derivative of -2*y**5/5 - 3*y**4/2 + 26*y**3/3 + 15*y**2 + 186. Let m(j) = 0. Calculate j.
-5, -1, 0, 3
Factor -30*k**3 + 0 - 2/3*k**5 - 100/3*k**2 + 0*k - 8*k**4.
-2*k**2*(k + 2)*(k + 5)**2/3
Let p(c) = 4*c**2 - 21*c + 15. Let a(g) = -2*g - 2. Let w(s) = -s - 1. Let m(b) = 2*a(b) - 5*w(b). Let f(z) = -m(z) - p(z). Determine h, given that f(h) = 0.
1, 4
Let k(m) = 3*m**3 - 38*m**2 + 23*m + 12. Let c be k(12). Factor 4/7*a**4 - 8/7*a + 8/7*a**3 - 4/7 + c*a**2.
4*(a - 1)*(a + 1)**3/7
Let d be (-5)/((-135)/(-65) - 2). Let z be 3/d - (-3 + 84/30). Let -8/13*l**4 + 10/13*l + 4/13 + 4/13*l**2 - z*l**5 - 8/13*l**3 = 0. What is l?
-2, -1, 1
Find q, given that 0 - 85/2*q**2 + 3/4*q**3 - 57/4*q = 0.
-1/3, 0, 57
Let i = -248 + 248. Let s(u) be the third derivative of 7*u**2 + 1/180*u**5 + 0 + i*u + 1/9*u**4 + 8/9*u**3. Factor s(y).
(y + 4)**2/3
Solve -7*i**2 - 4*i**2 + 4*i**4 + 15*i**2 + 4*i**3 + 8*i**3 - 12*i - 8 = 0 for i.
-2, -1, 1
Let b(r) be the third derivative of 0*r + 1/30*r**5 + 0*r**3 - 19*r**2 - 1/3*r**4 + 0. Suppose b(h) = 0. What is h?
0, 4
Let m(s) be the second derivative of s**10/15120 - s**9/3780 + s**7/630 - s**6/360 - 25*s**4/12 + 14*s. Let c(u) be the third derivative of m(u). Factor c(y).
2*y*(y - 1)**3*(y + 1)
Let t(g) be the second derivative of g**5/130 - g**4/26 - 10*g**3/39 + 398*g. What is u in t(u) = 0?
-2, 0, 5
Solve -22*h - 16 + 9 + 6*h**4 - 7*h**4 - 10*h**3 - 24*h**2 = 0 for h.
-7, -1
Let k(z) be the first derivative of -z**6 + 34*z**5/5 - 33*z**4/2 + 46*z**3/3 - 8*z - 73. Find l, given that k(l) = 0.
-1/3, 1, 2
Let p(q) be the third derivative of -q**3 + 15*q**2 + 0 + 1/20*q**5 - 1/8*q**4 + 0*q. Factor p(d).
3*(d - 2)*(d + 1)
Let n be (-46)/(-529)*92 - 27/4. Solve -15/4*l + n*l**2 - 5 = 0.
-1, 4
Let m be 1/(-2 - -5)*(-1 - -13). Determine x so that -14*x - m + 6*x + 1 - 7*x**2 - 2*x**3 = 0.
-3/2, -1
Let u(g) be the second derivative of g**7/56 - 71*g**6/40 + 21*g**5/8 - 52*g + 3. Determine c so that u(c) = 0.
0, 1, 70
Let l(o) be the second derivative of o**7/5 - 83*o**6/75 + 43*o**5/50 + 71*o**4/30 - 64*o**3/15 + 12*o**2/5 + 2*o - 49. Let l(u) = 0. What is u?
-1, 2/7, 2/3, 1, 3
Let b(y) be the second derivative of -y**5/60 - 13*y**4/9 + 125*y. Factor b(j).
-j**2*(j + 52)/3
Let v(t) be the first derivative of 8*t**5/25 - 131*t**4/10 + 747*t**3/5 - 784*t**2/5 + 256*t/5 - 156. Determine z so that v(z) = 0.
1/4, 1/2, 16
Let q(y) be the first derivative of -7*y**5/100 - y**4/12 + y**3/15 + 9*y - 25. Let h(k) be the first derivative of q(k). Factor h(d).
-d*(d + 1)*(7*d - 2)/5
Suppose -94/13*d**2 + 90/13*d**3 + 92/13 - 90/13*d + 2/13*d**4 = 0. What is d?
-46, -1, 1
Let f = -73109/5 + 14622. Suppose -1/5*r**5 + 0 + 4/5*r**3 + 0*r - 4/5*r**2 + f*r**4 = 0. What is r?
-2, 0, 1, 2
Factor -128/3*s**4 - 96*s**3 - 64/3*s - 20/3*s**5 + 0 - 256/3*s**2.
-4*s*(s + 2)**3*(5*s + 2)/3
Determine o, given that 5/11*o**3 + 0 - 2/11*o**2 - 1/11*o**4 - 8/11*o = 0.
-1, 0, 2, 4
Let j(u) be the third derivative of 0*u + 6*u**2 + 1/72*u**5 + 1/9*u**3 + 0 + 1/18*u**4 + 1/720*u**6. Factor j(x).
(x + 1)*(x + 2)**2/6
Let a(z) be the third derivative of z**10/60480 - z**9/40320 - z**8/20160 + z**5/60 - 6*z**2. Let h(c) be the third derivative of a(c). Factor h(t).
t**2*(t - 1)*(5*t + 2)/2
Let 39*r - 4*r**2 + 3983 - 4019 + r**2 = 0. Calculate r.
1, 12
Suppose 91 + 45*k**5 + 20*k - 77*k**3 - 130*k**2 - 100 + 49 + 12*k**3 + 90*k**4 = 0. Calculate k.
-2, -1, -2/3, 2/3, 1
Suppose 2*b = 3*y - 13, 0*b + 45 = -5*b + 5*y. Let c(f) = f + 16. Let w be c(b). Determine v, given that 2/9*v - 2/9*v**w + 0 = 0.
0, 1
Let y(w) be the third derivative of w**7/105 - w**6/10 + 3*w**5/10 - w**4/3 + 33*w**2 + 3. Factor y(f).
2*f*(f - 4)*(f - 1)**2
Let s(y) = 2*y + 1. Let a be s(-8). Let i be (12/a)/((-6)/15). What is z in -7*z**3 - 4*z**4 - 2 + 2 - 2*z**i + z + 0*z = 0?
-1, 0, 1/4
Let p(r) be the first derivative of -r**5/5 + 217*r**4/4 - 5256*r**3 + 194400*r**2 - 373248*r - 83. What is t in p(t) = 0?
1, 72
Let c(d) = -d**2 - 38*d. Let s be c(0). Let y(x) be the third derivative of 0*x**3 + 0*x + s - 2*x**2 + 1/60*x**4 - 1/100*x**5 + 1/600*x**6. Factor y(q).
q*(q - 2)*(q - 1)/5
Let o be (-2)/4*-14 + (-40)/8. Suppose 2*r + o*w = -r + 4, 2*r - 2*w = -4. Factor 3/4*n**4 - 3/4*n**3 - 1/4*n**5 + 0 + 1/4*n**2 + r*n.
-n**2*(n - 1)**3/4
Let o be 26/91*(3 - 78/(-30)). Determine a, given that 4/5 - 22/5*a + 24/5*a**2 - o*a**4 + 2/5*a**3 = 0.
-2, 1/4, 1
Let t be 12/(-18) + 0 + (-1)/3. Let k be (-18)/(-3)*t/(-9). Factor -k + 4/3*g + 2/3*g**4 - 4/3*g**3 + 0*g**2.
2*(g - 1)**3*(g + 1)/3
Let w = -324 - -2270/7. Let u be (-6)/(-14)*(-48)/(-36). Find i such that 2/7 + w*i**2 + u*i = 0.
-1
Factor 1/4*i**3 + 1/4*i**4 + 0 + 3/4*i - 5/4*i**2.
i*(i - 1)**2*(i + 3)/4
Find c, given that 1/3*c**2 - 43/3*c + 0 = 0.
0, 43
Let n(f) be the first derivative of f**7/420 + f**6/45 + f**5/12 + f**4/6 - 7*f**3/3 + 11. Let g(b) be the third derivative of n(b). Factor g(i).
2*(i + 1)**2*(i + 2)
Let s(l) = 3*l**3 - 6*l**2 + 3*l + 2. Let d be s(2). Let k be 4/d*(-4)/(-3)*3. Let -2/7*p - 3/7 + 1/7*p**k = 0. What is p?
-1, 3
Suppose 2*v - 14*v = -72. Let g(y) be the first derivative of -18*y + v*y**2 + 1 - 2/3*y**3. Factor g(x).
-2*(x - 3)**2
Let g(y) be the second derivative of y**5/50 - 4*y**4/15 + y**3/3 + 5*y**2 + 30*y. Let k(w) be the first derivative of g(w). Factor k(c).
2*(c - 5)*(3*c - 1)/5
Let k(b) = -b - 9. Let r(q) = q + 9. Let t(s) = 4*k(s) + 5*r(s). Let y be t(-7). Factor 6*j**2 - 9*j**3 + j**3 - 4*j**y.
-2*j**2*(4*j - 1)
Let p(t) be the third derivative of -t**6/420 + 5*t**5/42 - 47*t**4/84 + 23*t**3/21 - 2*t**2 + 19*t. Factor p(b).
-2*(b - 23)*(b - 1)**2/7
Let t(n) be the first derivative of n**4/10 - 28*n**3/15 + 7*n**2 - 44*n/5 + 100. Factor t(y).
2*(y - 11)*(y - 2)*(y - 1)/5
Let i = 197/582 - 1/194. Let o(l) be the third derivative of i*l**3 + 0*l + 1/6*l**4 + 0 + 1/30*l**5 + 4*l**2. Factor o(f).
2*(f + 1)**2
Let i be -1 + -9*9/(-54). Let q be 6/27 - (-2)/(-9). Factor -1/2*v - i*v**2 + q.
-v*(v + 1)/2
Let j(f) be the third derivative of 0 + 0*f - 1/44*f**4 + 0*f**5 - 2/33*f**3 + 12*f**2 + 1/660*f**6. Factor j(g).
2*(g - 2)*(g + 1)**2/11
Suppose 0 = -2*c - 29 + 255. Let n = 115 - c. Factor 1/5*i**4 + 9/5 + 22/5*i**n - 24/5*i - 8/5*i**3.
(i - 3)**2*(i - 1)**2/5
Suppose -18*u**2 + 9*u**3 - 3/2*u**4 + 0 + 12*u = 0. Calculate u.
0, 2
Suppose 66*m - 8 - 160 - 30 = 0. Determine w, given that 2/5*w**m + 8/5*w**2 + 6/5*w + 0 = 0.
-3, -1, 0
Let q(y) = y**3 + 7*y**2 + 11*y + 1. Let h be q(-3). Factor h + 9*n**2 + 0 - 3 + 12*n + 2.
3*(n + 1)*(3*n + 1)
Let s(w) be the second derivative of 10*w**2 + 2/21*w**7 + 6*w**3 - 2*w**5 + 43*w + 0 - 2/5*w**6 - 2/3*w**4. Factor s(