be the second derivative of -1/42*d**7 + 0*d**2 + 0 + 0*d**4 - 1/30*d**6 + 0*d**5 + 7*d + 0*d**3. Factor y(o).
-o**4*(o + 1)
Suppose -66*v - 1/4*v**4 + 11/2*v**3 - 36 - 97/4*v**2 = 0. What is v?
-1, 12
Let v(s) be the second derivative of -s**4/4 + 13*s**3 - 6*s - 11. Determine c so that v(c) = 0.
0, 26
Let j(u) = 17*u**5 - 489*u**4 - 710*u**3 - 206*u**2. Let h(n) = 35*n**5 - 978*n**4 - 1421*n**3 - 413*n**2. Let a(f) = -2*h(f) + 5*j(f). What is x in a(x) = 0?
-1, -2/5, 0, 34
Suppose -26*q + 121*q**3 - 18 + 81*q**2 + 153*q**4 + 98*q**3 + 30*q**5 + 7*q - 14*q = 0. Calculate q.
-3, -1, -1/2, 2/5
Solve -1195*q - 153*q**2 - 10*q**3 + 9*q**3 - 7269*q - 132651 + 661*q = 0 for q.
-51
Let 0 - 69/2*p**3 + 9*p**2 + 54*p + 39/4*p**4 - 3/4*p**5 = 0. What is p?
-1, 0, 2, 6
Let d be (2/(-7) - (-40)/189)*(-3420)/285. Factor 0*r**3 + 0 + 0*r - d*r**2 + 2/9*r**4.
2*r**2*(r - 2)*(r + 2)/9
Let p(b) = -187*b + 1124. Let y be p(6). Solve -4/3 - 2/3*c + 2/3*c**y = 0 for c.
-1, 2
Let l be (-1)/(-2)*16/6. Suppose 4*v + j - 27 = 0, -2*v + 44 + 19 = 5*j. Factor l*i**2 + 2/3*i**v + 0 + 2*i**3 + 0*i.
2*i**2*(i + 1)*(i + 2)/3
Let l(c) be the third derivative of -1/210*c**5 + c**2 - 1/42*c**4 + 1/7*c**3 + 0*c - 7. Let l(j) = 0. Calculate j.
-3, 1
Suppose p - 69 = -3*h - 22, 5*h - 85 = 5*p. Factor 28*a**2 + 4*a**4 - h*a**2 - 20*a**3 - 12*a**2.
4*a**3*(a - 5)
Solve 31/4*n**2 + 3 - n**4 + 5*n**3 - 11*n = 0.
-2, 1/2, 6
Factor -18 - 186/7*k - 24/7*k**2.
-6*(k + 7)*(4*k + 3)/7
Let v(x) be the first derivative of x**3/3 + 5*x**2/2 - 6*x + 13. Factor v(h).
(h - 1)*(h + 6)
Let m = 234 - 7718/33. Let g(l) be the first derivative of -3/22*l**4 - 2/55*l**5 + 3 + 0*l + 0*l**2 - m*l**3. Find x, given that g(x) = 0.
-2, -1, 0
Let n(q) be the third derivative of q**7/105 - q**5/6 + 4*q**3/3 + 2*q**2 - 4*q. Find z such that n(z) = 0.
-2, -1, 1, 2
Find t such that 150/11 + 2/11*t**2 + 152/11*t = 0.
-75, -1
Let l(m) be the second derivative of 49*m - 125/6*m**3 - 2/21*m**7 + 61/30*m**6 + 575/12*m**4 + 0 + 0*m**2 - 63/4*m**5. Suppose l(d) = 0. What is d?
0, 1/4, 5
Let m = -21593 + 64787/3. Determine f so that 1/3*f**4 + 1/3*f**5 - 1/3*f**2 - 4/3 - 5/3*f**3 + m*f = 0.
-2, 1
Suppose 0 - 1/3*x**2 + 8/3*x = 0. What is x?
0, 8
Let a be 3 - (-1 + 4 + -6 + 3). Let h(s) be the second derivative of -6*s - 1/9*s**a - 1/72*s**4 + 1/120*s**5 + 1/3*s**2 + 0. What is m in h(m) = 0?
-2, 1, 2
Let d(z) be the third derivative of z**7/6300 + z**6/1800 - z**5/150 - z**4/2 - 7*z**2. Let n(m) be the second derivative of d(m). Find h such that n(h) = 0.
-2, 1
Factor -2*c**2 + 1/2*c + 0 + 2*c**4 - 1/2*c**3.
c*(c - 1)*(c + 1)*(4*c - 1)/2
Factor 36/7*y + 1/7*y**3 - 12/7*y**2 - 32/7.
(y - 8)*(y - 2)**2/7
Let j(m) be the second derivative of -m**7/84 - m**6/60 + 3*m**5/40 + 5*m**4/24 + m**3/6 + 7*m + 1. Factor j(t).
-t*(t - 2)*(t + 1)**3/2
Factor -1/3*m**5 - 29/3*m**4 + 0 - 69*m**2 + 0*m - 49*m**3.
-m**2*(m + 3)**2*(m + 23)/3
Suppose -c = -2*u - 1, -4*u - 4*c + 4 = -0. Let a(b) be the first derivative of u*b + 2/3*b**3 + b**2 - 1/2*b**4 - 15 - 2/5*b**5. Factor a(w).
-2*w*(w - 1)*(w + 1)**2
Let u = -24 - -36. Find v, given that 114*v**2 + u - 27*v**3 + 0 - 24*v**2 + 8*v + 61*v = 0.
-1/3, 4
Let o(j) be the third derivative of -1/12*j**3 + 0*j + 1/160*j**6 + 1/16*j**4 - 1/1680*j**7 + 33*j**2 - 13/480*j**5 + 0. Factor o(c).
-(c - 2)**2*(c - 1)**2/8
Let s be (2/(-1))/(4/(-1224)). Determine c so that 2*c**3 - 616*c + 2 - 2*c**4 + 2*c**3 + s*c = 0.
-1, 1
Let 7/3*z**3 - 2 + 17/3*z - 1/3*z**4 - 17/3*z**2 = 0. What is z?
1, 2, 3
Let d be (-7)/(-2) - 0 - ((-23975)/(-910) + -23). Solve 72/13 - 24/13*o + d*o**2 = 0.
6
Suppose -3*c = 2*c - 15. Let y = -1096 - -1100. Suppose 4/3*h**c + 8/3 + 8/3*h - 10*h**2 + 10/3*h**y = 0. Calculate h.
-2, -2/5, 1
Factor 553 + 54*y - 282 - 24*y**2 - 299 - 2*y**3.
-2*(y - 1)**2*(y + 14)
Let j(a) be the third derivative of a**7/1260 + a**6/36 + 3*a**5/20 + 13*a**4/36 + 17*a**3/36 + 266*a**2. Suppose j(v) = 0. What is v?
-17, -1
Let g(q) = -q**4 + q**2 + q. Let o(v) = -18*v**4 - 724*v**3 - 8626*v**2 - 9854*v - 1936. Let l(d) = 2*g(d) - o(d). Solve l(w) = 0 for w.
-22, -1, -1/4
Let z = -6054 - -6054. Solve -5/4*y**4 + 0 + z*y - 5/2*y**3 - 5/4*y**2 = 0.
-1, 0
Let x = 46 - 76. Let q be (x - -25)*(-1 + 0)/4. Factor -9/4*y**3 + 0 + q*y**4 - 1/2*y - 1/4*y**5 + 7/4*y**2.
-y*(y - 2)*(y - 1)**3/4
Suppose 2*q + 21 - 15 = 0. Let a be 6 - q*((-2)/(-2) + -2). Factor -k**a - 4/3*k + 8/3 - 10/3*k**2.
-(k + 2)**2*(3*k - 2)/3
Let h = 35 - 11. Let q = -15 + h. Factor -q*n**3 - 6*n**5 + 6*n**5 - 2*n - 7*n**2 - n**5 - 5*n**4.
-n*(n + 1)**3*(n + 2)
Let r be -8*143/(-176) + -5. Let r*i**2 + 15*i + 75/2 = 0. Calculate i.
-5
Let g = -6/1975 + 5937/3950. What is h in -25/2*h + 3 + 27/2*h**2 - g*h**3 - 5/2*h**4 = 0?
-3, 2/5, 1
Let m(i) be the third derivative of -i**8/168 + 4*i**7/63 - 17*i**6/60 + 31*i**5/45 - i**4 + 8*i**3/9 + 4*i**2 - i. Let m(x) = 0. Calculate x.
2/3, 1, 2
Factor 29/8*f + 1/8*f**3 + 5/4*f**2 + 5/2.
(f + 1)*(f + 4)*(f + 5)/8
Let o = -10 + 46. Factor 24*h**2 + 4*h**4 - h**4 + 11*h**4 + 4*h + 2*h**4 + o*h**3.
4*h*(h + 1)**2*(4*h + 1)
Let b(f) be the third derivative of -f**6/270 - f**5/180 + f**4/36 + 15*f**3/2 - 51*f**2. Let c(x) be the first derivative of b(x). Factor c(r).
-2*(r + 1)*(2*r - 1)/3
Let v(s) = 28*s**3 + 8*s**2 - 117*s - 37. Let i(z) = 84*z**3 + 24*z**2 - 352*z - 112. Let t = -42 + 47. Let l(x) = t*i(x) - 16*v(x). Let l(w) = 0. Calculate w.
-2, -2/7, 2
Let m(s) be the second derivative of -s**4/3 - 86*s**3/3 + 88*s**2 - 408*s. Factor m(c).
-4*(c - 1)*(c + 44)
Let k(w) be the third derivative of w**6/24 - w**5/4 - 25*w**4/12 - 41*w**2 + 1. Let k(t) = 0. Calculate t.
-2, 0, 5
Let h(s) be the second derivative of -s**5/50 - 2*s**4/15 + s**3/5 + 18*s**2/5 - s + 44. Let h(z) = 0. Calculate z.
-3, 2
Factor 16/3*n**2 + 2/3*n**4 + 0*n + 0 - 6*n**3.
2*n**2*(n - 8)*(n - 1)/3
Let c(w) be the third derivative of w**8/84 - 4*w**7/35 - 17*w**6/15 + 16*w**5/5 + 51*w**4/2 - 108*w**3 - 99*w**2 + 4. Solve c(t) = 0.
-3, 1, 2, 9
Let s be (-8)/6*30/(-20). Suppose 0 = -2*i - s*z - z + 13, 4*z - 16 = -2*i. Factor 10*m**4 + 28*m**3 + 4*m**i + 16*m**2 + 6*m**4 - 4*m**4 + 4*m.
4*m*(m + 1)**2*(3*m + 1)
Let k(a) be the first derivative of -2*a**5/5 - 53*a**4/4 - 137*a**3 - 396*a**2 - 432*a - 144. Solve k(c) = 0 for c.
-12, -3/2, -1
Let 0 + 12/5*i**2 - 12/5*i - 3/5*i**3 = 0. Calculate i.
0, 2
Let k(q) be the third derivative of -7*q**4/24 + 21*q**3/2 + 76*q**2. Let s be k(9). Factor 0 + s*f - 3/2*f**2 - 3/2*f**3.
-3*f**2*(f + 1)/2
Let m(s) be the third derivative of s**7/42 + s**6/4 + 3*s**5/4 + 5*s**4/6 + 418*s**2. Factor m(u).
5*u*(u + 1)**2*(u + 4)
Let x be 2 + -4 - (-2 - -5). Let h be (x - -5)*2/4. Factor 1/5*w**4 + 0*w + h + 1/5*w**5 + 0*w**3 + 0*w**2.
w**4*(w + 1)/5
Let k(x) = -137*x - 1096. Let f be k(-8). What is o in 0*o**3 + o**4 + f*o**2 + 0 - 1/4*o**5 + 0*o = 0?
0, 4
Suppose 2*g + 6 = -2*i, 83*i - 82*i - 3*g = 17. Find y such that -2/3*y**4 + 1/3*y + 0 + 0*y**i - y**3 = 0.
-1, 0, 1/2
Let u(i) = 3*i**5 + 20*i**4 + 13*i**3. Let y = -45 - -46. Let p(o) = o**5 + o**3. Let n(c) = y*u(c) - 6*p(c). Factor n(j).
-j**3*(j - 7)*(3*j + 1)
Factor 256/15*f - 8/3 + 26/15*f**2.
2*(f + 10)*(13*f - 2)/15
Let v(c) be the second derivative of -c**6/720 + c**5/20 - 3*c**4/4 - 5*c**3 + 23*c. Let i(w) be the second derivative of v(w). Let i(l) = 0. Calculate l.
6
Let m(y) be the first derivative of -y**4/22 - 38*y**3/33 + 4*y**2/11 + 152*y/11 + 589. Factor m(f).
-2*(f - 2)*(f + 2)*(f + 19)/11
Let y(q) be the second derivative of 18*q**3 + q**5 - 6*q**4 + 0 + 18*q - 1/15*q**6 - 27*q**2. Factor y(m).
-2*(m - 3)**3*(m - 1)
Let z(k) = -49*k**5 + 40*k**4 + 143*k**3 - 21*k**2 - 56*k + 18. Let y(q) = q**5 + q**3 - q**2 + 2. Let m(g) = -y(g) + z(g). Let m(s) = 0. Calculate s.
-1, 2/5, 2
Let j be 180/(-300) - (-134)/90. Factor j*s + 2/9*s**4 + 8/9 - 4/9*s**3 - 2/3*s**2.
2*(s - 2)**2*(s + 1)**2/9
Factor 22*b**4 + 96 - 91 - 17*b**4 - 10*b**2.
5*(b - 1)**2*(b + 1)**2
Let r(a) be the second derivative of 1/39*a**3 - 6/13*a**2 + 1/78*a**4 + 0 + 16*a. What is i in r(i) = 0?
-3, 2
Solve 95*f + 3*f - 21*f**2 - 2228*f**3 + 7*f**4 + 2216*f**3 - 8*f**4 = 0 for f.
-7, 0, 2
Suppose -85 = -5*a - 65. Let v(o) be the third derivative of 0 + 0*o + 1/15*o*