(v) be the third derivative of o(v). Find u, given that c(u) = 0.
0, 5
What is q in -32/19 - 2/19*q**5 - 130/19*q**2 + 108/19*q - 6/19*q**4 + 62/19*q**3 = 0?
-8, 1, 2
Let m(x) be the third derivative of 4*x**7/735 + 23*x**6/140 + 233*x**5/210 - 39*x**4/14 - 24*x**3/7 + 4047*x**2. Let m(l) = 0. What is l?
-12, -6, -1/4, 1
Suppose 0 = -3*w, v + w + 152 = 44. Let n = 110 + v. Solve 4/3*j**n + 4/3*j**4 + 0 + 8/3*j**3 + 0*j = 0 for j.
-1, 0
Let s = -124451/7 - -17987. Find m such that -108/7*m + s + 2/7*m**2 = 0.
27
Let y(l) = -106*l - 6. Let j be y(-1). Solve -59*d**2 - 138*d**2 + j*d**3 - 32*d**4 + 112*d + 4*d**5 + 45*d**2 - 32 = 0 for d.
1, 2
Let c(j) be the third derivative of j**6/1260 + 2*j**5/63 + 25*j**4/84 - 499*j**2 - 2*j. Determine k so that c(k) = 0.
-15, -5, 0
Let y(o) be the second derivative of 8/5*o**5 - 44/3*o**4 + 0*o**2 + 61*o + 2/15*o**6 + 0 + 32*o**3. Factor y(l).
4*l*(l - 2)**2*(l + 12)
Let l(k) = 89*k + 17338. Let h be l(-194). Factor -135 - h*b - 48/5*b**2.
-3*(4*b + 15)**2/5
Let d = -636 + 638. Let k be 28/16 + (d - 0)/8. Solve -4/5*x - 4/5*x**k + 8/5 = 0.
-2, 1
Suppose 574/3*c**2 + 192*c**3 + 0*c + 2/3*c**4 + 0 = 0. Calculate c.
-287, -1, 0
Let n(t) be the third derivative of t**8/504 - t**6/15 - 8*t**5/45 + 1481*t**2. Let n(c) = 0. Calculate c.
-2, 0, 4
Let j(r) be the second derivative of -r**7/28 + 329*r**6/60 - 8963*r**5/40 - 3245*r**4/24 + 3025*r**3/6 - 4*r + 3. Solve j(d) = 0.
-1, 0, 2/3, 55
Let w = -60 - -121. Let x = 3759 + -3756. Factor 57*f**x - 108*f**3 - 5*f**2 + w*f**3 - 4*f**4 - f**4.
-5*f**2*(f - 1)**2
Let r be 195/104*(-180)/405*27/(-10). Let w - r*w**5 - 5*w**2 + 5*w**4 + 0 + 5/4*w**3 = 0. What is w?
-1, 0, 2/9, 1, 2
Determine l so that 2160*l + 405/2 + 780*l**3 - 175/2*l**4 - 2295*l**2 = 0.
-3/35, 3
Suppose -z + 5*z - 6 = b, -5*z - 4*b + 18 = 0. Suppose 4*g = 3*j - 7*j + 332, -g = z*j - 166. Factor -6*m - 160 + 0*m**2 + j + 86 + m**2.
(m - 3)**2
Let t(u) be the first derivative of 30*u**3 + 2/5*u**5 + 108*u + 11/2*u**4 - 187 + 81*u**2. Factor t(f).
2*(f + 2)*(f + 3)**3
Let j be ((-143)/297)/((-507)/2574). Let 20/3 + 2/9*k**3 - 8/9*k**2 - j*k = 0. Calculate k.
-3, 2, 5
Let n be (-2)/66*2 - (-63250)/145200. Find s, given that -9/8*s**4 - 3/2*s**5 + 9/8*s**2 - n*s + 0 + 15/8*s**3 = 0.
-1, 0, 1/4, 1
Let i(b) be the third derivative of -b**8/840 - 23*b**7/525 - 17*b**6/50 - 18*b**2 + 8*b. Factor i(o).
-2*o**3*(o + 6)*(o + 17)/5
Let h = 346 - 344. Suppose -8 = i - 19*b + 16*b, 0 = -2*i - h*b + 16. Factor 0*z**2 + 0*z - 2*z**i + 4/5*z**3 + 0.
-2*z**3*(5*z - 2)/5
Let x(u) be the second derivative of 2/3*u**2 + 0*u**5 + 0*u**3 + 2/45*u**6 - 26*u - 2/9*u**4 + 0. Factor x(r).
4*(r - 1)**2*(r + 1)**2/3
Let m(v) = v**3 + 15*v**2 + 3*v - 11. Let s be m(-10). Suppose 4*n - 459 = -2*y + s, y - 431 = 5*n. Factor -4*c**3 - 451*c**2 + 6*c**4 + y*c**2 - 2*c**5.
-2*c**3*(c - 2)*(c - 1)
Let y be (-1 + (-7 - -4))/(2/(-5)*5). Factor 0 - 2/9*a**y + 0*a.
-2*a**2/9
Let 1/2*y**2 + 30*y + 819/2 = 0. What is y?
-39, -21
Let d = 219065/6 + -36510. Let l(z) be the second derivative of -d*z**3 - 3*z**2 - 36*z + 0 - 1/12*z**4. Factor l(i).
-(i + 2)*(i + 3)
Let b(d) be the second derivative of d**4/48 - 34*d**3 + 20808*d**2 - 6*d. Factor b(t).
(t - 408)**2/4
Let n(l) be the first derivative of -4/3*l**2 - 4/15*l**5 - 184 + 5/18*l**4 + 1/27*l**6 - 32/9*l + 32/27*l**3. Determine r so that n(r) = 0.
-1, 2, 4
Find w such that -146/5*w + 79/5*w**2 + 2/5*w**3 - 7/5*w**4 + 72/5 = 0.
-4, 1, 9/7, 2
Let n(r) = r**3 + 13*r**2 + 19*r - 21. Let z be n(-11). Suppose -2*l + z = 2. Factor 17*p + 7*p - 1 + 2 + 28*p**2 - l.
4*(p + 1)*(7*p - 1)
Determine p, given that -3*p**5 - 40787*p + 307907*p + 74237 + 36249*p**3 + 6*p**5 + 645*p**4 + 170427*p**2 + 58063 = 0.
-105, -2, -1
Let o be (2*(-1)/(-3))/((-2)/(-108)). Let n be (-5)/(-12) + (-6)/o. Factor -n*j**3 + 0 + 1/2*j**2 - 1/4*j.
-j*(j - 1)**2/4
Determine f, given that 4 - 640/3*f**4 + 2587/6*f**2 + 247/2*f**3 + 50/3*f**5 + 245/3*f = 0.
-1, -1/10, 2, 12
Let r(v) be the second derivative of v**4/3 - 20*v**3/3 - 288*v**2 + 10*v + 18. Suppose r(u) = 0. What is u?
-8, 18
Let n be ((-136)/144*3 - 2/12)/((-147)/7). Factor -62/7*d + 961/7 + n*d**2.
(d - 31)**2/7
Let a(w) be the second derivative of 1/10*w**6 - 11/20*w**5 + 120*w + 0 - 2/3*w**3 + 0*w**2 + w**4. Determine l so that a(l) = 0.
0, 2/3, 1, 2
Let a(w) be the third derivative of -13/32*w**4 + 131*w**2 + 0*w + 0 + 1/240*w**5 + 0*w**3. Factor a(x).
x*(x - 39)/4
Let y(g) = -2*g**5 - g**4 + g**2 + g. Let o(a) = 5*a**5 + 4*a**4 - 4*a**2 - 3*a. Let n(q) = -o(q) - 2*y(q). Suppose n(m) = 0. What is m?
-1, 0, 1
Let x be 2/2*-2 - 36/(-18). Let i(m) = 10*m + 5. Let w be i(x). Factor 112/3*c**4 + 0*c - 16/3*c**3 + 0 - 196/3*c**w + 0*c**2.
-4*c**3*(7*c - 2)**2/3
Determine z so that -11*z**4 + 105*z**4 + 2*z**3 - 2*z**5 + 2*z**2 - 96*z**4 = 0.
-1, 0, 1
Find x, given that -96304*x**3 + x**4 - 75*x**2 - 96304*x**3 - 28*x**2 + 156 + 192630*x**3 + 32*x = 0.
-26, -1, 2, 3
Suppose 28*m - 40522*m**2 - m**3 + 40514*m**2 + 20*m = 0. Calculate m.
-12, 0, 4
Let s(x) be the third derivative of 11*x**6/30 - 17*x**5/5 + 12*x**4 - 56*x**3/3 - 15*x**2 - 38. Determine j so that s(j) = 0.
7/11, 2
Suppose -7*d + 4*d = -21. Let w(v) = v - 7. Let p be w(d). Factor -3*h**2 - 1/4*h**4 + 3/2*h**3 + p + 2*h.
-h*(h - 2)**3/4
Let f(w) be the second derivative of 5/9*w**4 + 46/9*w**3 - 20/3*w**2 + 0 - 53*w. What is y in f(y) = 0?
-5, 2/5
Let r(m) be the first derivative of m**6/15 - 32*m**5/25 + 21*m**4/5 - 16*m**3/3 + 13*m**2/5 + 225. Factor r(z).
2*z*(z - 13)*(z - 1)**3/5
Let a be (-8)/(1880/1440 - 5/4). Let b be a/(-21) - (-9 - -13). What is h in -4/7*h**2 - 12/7*h**4 + 0*h + 0 - b*h**3 + 36/7*h**5 = 0?
-1/3, 0, 1
Let g = 4061 + -81219/20. Let j(a) be the third derivative of 0 - g*a**5 + 3/8*a**4 + 0*a**3 + 9*a**2 + 0*a. Factor j(m).
-3*m*(m - 3)
Let l(g) be the second derivative of -g**4/18 - 260*g**3/9 + 87*g**2 + 77*g. Factor l(s).
-2*(s - 1)*(s + 261)/3
Let y be (-12)/(-42) - (-90)/126. Let g be -5 + 440/35 + y. Determine x, given that -16/7*x**2 - g*x + 16/7 = 0.
-4, 1/4
Let z(h) be the first derivative of -h**3/6 - 851*h**2/2 - 724201*h/2 + 2682. Factor z(v).
-(v + 851)**2/2
Suppose 0 = 202*q - 214*q. Let t(d) be the third derivative of 0*d**3 + 1/10*d**7 + 0*d + q*d**4 + 0 + 19*d**2 - 1/10*d**5 - 1/8*d**6. Factor t(n).
3*n**2*(n - 1)*(7*n + 2)
Let r(d) be the second derivative of d**7/2520 + d**6/180 + d**5/30 + d**4/9 + 12*d**3 - 66*d. Let b(m) be the second derivative of r(m). Factor b(c).
(c + 2)**3/3
Suppose -5*x = t + 17, -5*t - 3*x = x + 22. Let i be t/6 - 532/(-21). Solve i*a + 16*a + a**2 - 44*a = 0 for a.
0, 3
Let r(g) be the second derivative of g**7/126 + 4*g**6/15 + 103*g**5/60 + 13*g**4/3 + 38*g**3/9 + 526*g. Determine y, given that r(y) = 0.
-19, -2, -1, 0
Let i(t) be the third derivative of -t**7/1575 + t**6/150 - t**5/50 - 1777*t**2. Find f, given that i(f) = 0.
0, 3
Factor -3/2*x**2 + 99/2*x - 93.
-3*(x - 31)*(x - 2)/2
Let 8646*n**2 + 5984418242 - 2*n**3 + 53784*n + 12405102*n + 4*n**3 = 0. Calculate n.
-1441
Let s be (-4)/41 + 1551810/638370. Let b be ((-2)/(-3) + 0)/2. Factor 0 - m - b*m**4 - 5/3*m**3 - s*m**2.
-m*(m + 1)**2*(m + 3)/3
Let k = -242/7497 - -67957/14994. Factor -3/4*v**2 - k*v + 21/4.
-3*(v - 1)*(v + 7)/4
Let w be 3/(-2)*((-352)/840 + 22/77). Factor -w*l**2 + 0 - 2/5*l.
-l*(l + 2)/5
Suppose -109*b**2 + 346*b - 88*b - 14*b**2 - 4*b**3 + b**3 = 0. What is b?
-43, 0, 2
Let y(l) = -6*l**4 + 68*l**3 + 4*l**2 - 58*l + 18. Let w(x) = -5*x**4 + 66*x**3 + 3*x**2 - 59*x + 18. Let v(p) = -4*w(p) + 6*y(p). Let v(z) = 0. What is z?
-1, 1/2, 9
Suppose -20*p + 4*p = 0. Let u(l) be the third derivative of 0 + p*l**4 + 0*l + 2/945*l**7 - 6*l**2 + 1/270*l**6 + 0*l**5 + 0*l**3. Factor u(a).
4*a**3*(a + 1)/9
Find k such that 146/5 + 144/5*k - 2/5*k**2 = 0.
-1, 73
Let c(z) be the first derivative of z**7/280 - z**6/40 + z**5/20 + 43*z**3/3 + 2*z + 98. Let p(l) be the third derivative of c(l). Factor p(b).
3*b*(b - 2)*(b - 1)
Let b(g) be the first derivative of 2/9*g**2 - 2/27*g**3 + 2/3*g + 64. Factor b(z).
-2*(z - 3)*(z + 1)/9
Let g be (-238)/(-170)*(-1)/(-21). Let y(w) be the second derivative of -g*w**6 - 7*w + 1/5*w**5 - 2/3*w**3 + 0 + 2/3*w**4 - 3*w**2. Let y(n) = 