) be the third derivative of u(y). Factor t(w).
(w + 1)**2/2
Let u(k) be the third derivative of -k**7/105 + 7*k**6/60 - 13*k**5/30 - k**4/4 + 6*k**3 - 965*k**2. Suppose u(v) = 0. Calculate v.
-1, 2, 3
Let u(p) = p**3 + 11*p**2 - 26*p + 1. Let j be u(-13). Let g be 1 + j + (-66)/36. Determine q, given that 1 + 1/6*q - g*q**2 = 0.
-2, 3
Let k(q) be the third derivative of -q**7/1155 + 3*q**6/44 - 13*q**5/110 - 217*q**4/132 - 4*q**3 - 31*q**2 - 10*q. Solve k(y) = 0 for y.
-1, 3, 44
Let j = -2/12079 + 120796/36237. Let q(o) be the first derivative of j*o**3 - 5/4*o**4 + 5/2*o**2 - 10*o - 9. Factor q(z).
-5*(z - 2)*(z - 1)*(z + 1)
Let v(u) be the first derivative of -5*u**5/7 - 85*u**4/14 + 17*u**3/7 + 58*u**2/7 + 4*u - 6055. Determine p, given that v(p) = 0.
-7, -2/5, 1
Let j(t) = -8*t**2 + 1248*t - 1210. Let v(k) = 44*k**2 - 6864*k + 6652. Let c(n) = -28*j(n) - 5*v(n). Factor c(u).
4*(u - 155)*(u - 1)
Let n(t) be the second derivative of -3*t**5/80 + 77*t**4/16 - 109*t**3/4 - 111*t**2 + 5847*t. Factor n(b).
-3*(b - 74)*(b - 4)*(b + 1)/4
Let g(f) be the third derivative of 5*f**8/21 - 44*f**7/21 + 185*f**6/24 - 47*f**5/3 + 155*f**4/8 - 15*f**3 - 2561*f**2. Solve g(t) = 0 for t.
3/4, 1, 2
Let x(q) = -9*q**2 + 377*q - 284. Let j(g) = -g**2 - g + 14. Let i(b) = -7*j(b) + x(b). Factor i(o).
-2*(o - 191)*(o - 1)
Suppose q = 9*q - 24. Suppose 6 = q*x, -7*x = -o - 2*x - 10. Determine l, given that 0*l + o - 6/7*l**3 + 0*l**2 - 2/7*l**4 = 0.
-3, 0
Let d(l) = -32*l**3 + 798*l**2 - 1580*l + 804. Let z(j) = -3*j**3 + j**2 - j + 2. Let w(b) = d(b) - 10*z(b). Factor w(u).
-2*(u - 392)*(u - 1)**2
Let m be 2 + -1 + -3 + 6. Suppose -m*p - 3 = -3*z, 0 = -5*p + 2*z - 1 + 6. Determine n, given that -3*n**5 + 4*n**5 + 5 + 2*n**2 - 6 - 2*n**p - n**4 + n = 0.
-1, 1
Factor 362*c**2 - 6*c**3 + 227*c - 247*c + 264*c.
-2*c*(c - 61)*(3*c + 2)
Let w(o) be the first derivative of -19/9*o**4 + 110/27*o**3 - 2/15*o**5 - 14/9*o**2 + 0*o + 294. What is t in w(t) = 0?
-14, 0, 1/3, 1
Solve 9*v**2 + 70*v + 5*v**2 + 6*v**2 - 12*v**2 - 600 - 3*v**2 = 0.
-20, 6
Let k(g) = -4*g + 10*g - 2*g + 2 - 3*g. Let i be k(10). Factor 4*p**2 + i - 6*p + 27*p - 5*p.
4*(p + 1)*(p + 3)
Let b(c) be the first derivative of -1/20*c**5 - 6*c**2 + 0*c**3 + 0*c**4 + 0*c + 11. Let d(y) be the second derivative of b(y). Find u, given that d(u) = 0.
0
Let q(w) be the second derivative of -w**6/225 - 11*w**5/100 - 2*w**4/15 + 103*w**3/6 - 121*w. Let z(a) be the second derivative of q(a). Factor z(p).
-2*(p + 8)*(4*p + 1)/5
Solve -141*q**2 + 12*q + 0 - 471/4*q**4 - 159/8*q**5 - 459/2*q**3 = 0.
-2, 0, 4/53
Let m(s) = 3*s**3 + 23*s**2 - 8*s + 10. Let k be m(-8). Suppose 0 = 5*i - k - 15. Factor -2*q + 1/5*q**2 + i.
(q - 5)**2/5
Let 24*b - 3*b**4 - 24*b**3 - 88*b**2 + 92*b**2 - b**2 = 0. What is b?
-8, -1, 0, 1
Let c(l) be the second derivative of 7*l**5/160 + 19*l**4/96 + 5*l**3/24 + 456*l. Factor c(p).
p*(p + 2)*(7*p + 5)/8
Let c(g) be the second derivative of g**7/21 + 53*g**6/30 + 407*g**5/20 + 665*g**4/12 - 1813*g**3/6 + 343*g**2 - 3755*g. Solve c(u) = 0.
-14, -7, 1/2, 1
Let x(a) be the third derivative of 4/3*a**5 + 0*a**3 + 0*a - 7/45*a**6 - 21*a**2 + 2/315*a**7 - 4*a**4 + 0. What is m in x(m) = 0?
0, 2, 6
Let f(w) be the third derivative of w**7/40 + w**6/24 - 2*w**5/5 + w**4/2 - 35*w**3/3 + 56*w**2. Let y(c) be the first derivative of f(c). Factor y(v).
3*(v - 1)*(v + 2)*(7*v - 2)
Let i(y) be the second derivative of -y**5/10 + 35*y**4/6 + 12*y**3 + 914*y. Factor i(c).
-2*c*(c - 36)*(c + 1)
Let u = -89129 + 89133. Suppose -6*k - 7/2*k**2 + 3/2*k**5 + 11/2*k**u + 9/2*k**3 - 2 = 0. Calculate k.
-2, -1, -2/3, 1
Let r(l) be the second derivative of l**4/24 - 421*l**3/12 - 211*l**2/2 + 2379*l. Factor r(k).
(k - 422)*(k + 1)/2
Let h(p) be the first derivative of -10 + 7/15*p**4 - 2*p + 2/25*p**6 - 4/15*p**3 - 8/25*p**5 + 0*p**2. Let l(x) be the first derivative of h(x). Factor l(w).
4*w*(w - 1)**2*(3*w - 2)/5
Let p be (170/(-68))/(390/(-26)). Solve -11/2*w**3 - 8/3*w - 5/3*w**4 - 20/3*w**2 - p*w**5 + 0 = 0 for w.
-4, -1, 0
Let d be ((-8)/20)/(2/2161). Let r = -431 - d. Factor -3/5*o**5 + r*o**4 + 0 + 0*o**3 + 0*o + 0*o**2.
-3*o**4*(o - 2)/5
Let y(o) be the first derivative of o**4/22 + 16*o**3/11 + 135*o**2/11 + 1011. What is d in y(d) = 0?
-15, -9, 0
Let s(r) = 2*r**2 + 5*r - 2. Let o be s(-3). Let k be (o/(-3) + -1)/((-16)/24). Find c, given that 9*c**k - c**2 - 8*c**2 - 3*c**2 = 0.
0
Let u(f) be the second derivative of f**4/4 - 12*f**3 + 210*f**2 + 36*f - 18. Determine r so that u(r) = 0.
10, 14
Let r(o) = -o**4 + o**3 - 9*o**2 - o + 2. Let k(w) = -w**5 - 32*w**4 - 64*w**3 - 22*w**2 + w - 2. Let u(v) = -k(v) - r(v). Solve u(g) = 0.
-31, -1, 0
Factor 15/4*w**2 + 55 + 665/4*w.
5*(w + 44)*(3*w + 1)/4
Let g(a) = a**2 - 834. Let d be g(0). Let l = d + 1669/2. Determine f, given that 1 + l*f**2 + 3/2*f = 0.
-2, -1
Let w = 1857 - 1855. Let f(k) be the first derivative of -4*k - 13 + w*k**2 - 1/3*k**3. Solve f(s) = 0 for s.
2
Let d be -13 + 3*(-260)/(-150)*(-15)/(-6). Suppose -24*f**3 + d + 45/2*f**2 - 11/2*f + 2*f**4 = 0. What is f?
0, 1/2, 11
Let r be -4*(((-50)/(-116))/(-1) - (-336)/(-4872)). Find v such that -26/21 + 2/21*v**r - 8/7*v = 0.
-1, 13
Let j be 203/58*(767/273 - (-4)/(-6)). Factor 15/2*v**3 - j*v + 3/2*v**4 - 21/2*v**2 + 9.
3*(v - 1)**2*(v + 1)*(v + 6)/2
Let k(m) be the third derivative of m**7/210 + 7*m**6/480 - m**5/80 - 61*m**4/12 + m**2. Let v(y) be the second derivative of k(y). Factor v(g).
3*(g + 1)*(8*g - 1)/2
Let 2488*h - 2/3*h**2 - 2321304 = 0. Calculate h.
1866
Let l be (-7 + 17)/(-1) - (1 + -21 + 10). Factor l + 12/5*k**3 - 3/5*k**4 + 0*k**2 + 0*k.
-3*k**3*(k - 4)/5
Factor 2/11*f**2 - 5084/11 - 462*f.
2*(f - 2542)*(f + 1)/11
Suppose 5*w = -47 - 3. Let a(l) = 3*l + 34. Let r be a(w). Solve r*v**4 + 4*v**3 + 4*v - 6*v**2 - 1 + 0 + 6*v**4 - 11*v**4 = 0 for v.
1
Let b = 130 - 124. Let l(h) = -h**2 + 8*h + 2. Let y be l(8). Factor 1 + 14*c - 14*c**3 - b + 4*c**y + 4 - 3.
-2*(c - 1)*(c + 1)*(7*c - 2)
Let s = 7535 + -7535. Let u(d) be the second derivative of -1/24*d**4 + s + 13*d - 1/120*d**6 + 0*d**3 + 0*d**2 - 3/80*d**5. Solve u(w) = 0.
-2, -1, 0
Let r(k) = -112*k**2 + 1699*k - 4406. Let j(h) = -20*h**2 + 283*h - 734. Let i(v) = -34*j(v) + 6*r(v). Let i(x) = 0. What is x?
-74, 5/2
Suppose -2*m - 4 = -c - 2, -41 = -4*c - 3*m. Let z = -673 + 675. Let -1 + 5 - z*t**2 + c + 2*t = 0. Calculate t.
-2, 3
Suppose 0 = 125*s - 255 + 5. Factor -5/2*r**s + 11/2*r - 1.
-(r - 2)*(5*r - 1)/2
Let d = 593315/1008 - 5303/9. Let f = -3/16 - d. Let 3/7*p + 6/7 - 9/7*p**2 + 3/7*p**4 - f*p**3 = 0. Calculate p.
-1, 1, 2
Let n(f) be the first derivative of -f**4/14 - 4*f**3/21 + 53*f**2/7 - 180*f/7 - 728. Let n(m) = 0. Calculate m.
-9, 2, 5
Let u(t) = 29*t + 265. Let y be u(-9). Determine n, given that -6 + 126*n**2 + 174*n**3 + 33*n - 150*n**3 + 675*n**5 - 120*n**y - 732*n**3 = 0.
-1, -2/9, 1/5, 1
Let n(k) be the first derivative of -k**4/8 + 23*k**3/2 - 135*k**2/4 + 67*k/2 + 8941. Factor n(v).
-(v - 67)*(v - 1)**2/2
Let b = 279 + -278. Let g be 5*(-5)/(-300)*b*2. Factor -5/3*h + g*h**2 + 25/6.
(h - 5)**2/6
Let r(n) = -3*n**2 - 8*n + 3*n - 1 + 0*n**2 + 2*n + 4*n**2. Let s = -5 + 4. Let c(p) = p. Let j(x) = s*r(x) - 3*c(x). Determine o so that j(o) = 0.
-1, 1
Factor 25*x**3 - 66*x**2 + x + 39*x**2 - 5*x + x**5 + 14*x - 6*x**4 - 3*x**4.
x*(x - 5)*(x - 2)*(x - 1)**2
Let b(k) be the first derivative of k**6/180 + 17*k**5/60 + 4*k**4/3 + k**3 - 5*k - 334. Let h(x) be the third derivative of b(x). Factor h(g).
2*(g + 1)*(g + 16)
Let q(l) be the second derivative of -l**6/40 + 87*l**5/10 - 2523*l**4/2 + 97556*l**3 - 4243686*l**2 + 4921*l. Find m, given that q(m) = 0.
58
Let 5/3*k**3 + 1400/3*k + 710/3*k**2 + 0 = 0. What is k?
-140, -2, 0
Suppose -b - 13*b = -1190. Solve h**3 - b*h**2 + 17*h + 92*h**2 - 2*h**3 + 9 = 0 for h.
-1, 9
Let p(d) be the third derivative of d**5/15 - 19*d**4/6 + 60*d**3 - 107*d**2 + 6*d. Factor p(w).
4*(w - 10)*(w - 9)
Let w(i) be the first derivative of 0*i**2 - 2/9*i**3 + 0*i + 1/18*i**6 + 2/15*i**5 - 1/12*i**4 - 132. Factor w(t).
t**2*(t - 1)*(t + 1)*(t + 2)/3
Let f(h) = -h**2 + 8*h - 10. Suppose -2*z = -5*c + 1, 9*c - 11 = z - 2*z. Let i be f(z). Suppose -16*t + 0 + 8/3*t**i - 1/9*t**3 =