te t.
-3, -1, -1/3, 0
Let o(q) be the first derivative of 132 - 3/4*q**4 + 0*q - 6*q**2 + 4*q**3. Factor o(f).
-3*f*(f - 2)**2
Let f = -621389/7 - -89081. Let k = f + -310. Determine u, given that 8/7*u**2 + 0 + 2/7*u**3 + k*u = 0.
-2, 0
Let b(s) be the third derivative of s**9/241920 - s**8/40320 + s**7/20160 - 37*s**5/60 - 4*s**2 + 7. Let y(m) be the third derivative of b(m). Factor y(j).
j*(j - 1)**2/4
Let m(p) = -p**3 - p**2 + p + 1. Let c(z) = -29*z**3 + 28*z**2 + 82*z - 12*z**2 + 64 + 5*z**3 + 22*z. Let r(y) = -c(y) + 12*m(y). Factor r(t).
4*(t + 1)**2*(3*t - 13)
Let i(t) be the third derivative of t**7/1050 + 341*t**6/600 + 3276*t**5/25 + 199136*t**4/15 + 702464*t**3/3 - 424*t**2 + 3. Find v such that i(v) = 0.
-112, -5
Let o(u) be the first derivative of u**5/4 + 55*u**4/3 + 1210*u**3/3 + 129*u + 2. Let q(n) be the first derivative of o(n). Factor q(k).
5*k*(k + 22)**2
Let o(u) be the third derivative of -2*u**2 + 0*u**5 + 0*u**3 + 5/24*u**4 - 1/24*u**6 + 0 - 16*u. Let o(l) = 0. Calculate l.
-1, 0, 1
Suppose 7*l - 11*l + 4*v + 56 = 0, 2*l + v = 28. Determine o so that -10 - 13 + l + 12 - 3*o**2 = 0.
-1, 1
Find s, given that -36*s**3 + 588*s**5 + 797*s**2 + 25 - 25 - 189*s**4 - 785*s**2 = 0.
-1/4, 0, 2/7
Find p, given that 159/7 - 162/7*p + 3/7*p**2 = 0.
1, 53
Let q(v) be the second derivative of v**7/2016 - 5*v**6/192 - 17*v**5/48 + 22*v**4/3 + v**2 - 255*v. Let k(b) be the third derivative of q(b). Factor k(l).
5*(l - 17)*(l + 2)/4
Let g(k) be the third derivative of 49923*k**5/50 + 129*k**4/10 + k**3/15 + k**2 + 5*k + 49. Factor g(t).
2*(387*t + 1)**2/5
Let y(l) be the second derivative of -l**4/54 - 71*l**3/27 - 70*l**2/9 + 1460*l. Suppose y(r) = 0. What is r?
-70, -1
Let x(j) be the third derivative of j**5/60 - 203*j**4/6 + 811*j**3/6 + 16*j**2 - 127. Factor x(k).
(k - 811)*(k - 1)
Suppose 4*p = 3*f - 4, -3*f + f - 5*p + 41 = 0. Let q = 3188 + -3186. Factor -q*b**3 + 0*b**3 + 0*b**3 + 0*b**3 - f*b**2.
-2*b**2*(b + 4)
Let j(q) be the third derivative of q**7/70 - 13*q**6/10 + 411*q**5/20 + 1935*q**4/2 - 4050*q**3 - 841*q**2. Factor j(f).
3*(f - 30)**2*(f - 1)*(f + 9)
Let p(g) = -g**3 - 21*g**2 + 1319*g - 619. Let j be p(27). Factor -2/13*m**4 + 1368/13*m - 722/13 - 44*m**j - 72/13*m**3.
-2*(m - 1)**2*(m + 19)**2/13
Suppose -4*v + 16589 = 4*d + 16533, 0 = -3*v + 36. Suppose 0 - 39/2*b**3 + 27*b - 3/2*b**5 - 21/2*b**4 + 9/2*b**d = 0. Calculate b.
-3, -2, 0, 1
Let f be (16/14)/((-864)/(-2112)*(-16)/(-84)). Factor 242/3 + f*c + 2/3*c**2.
2*(c + 11)**2/3
Factor -61/5*s - 6 - 32/5*s**2 - 1/5*s**3.
-(s + 1)**2*(s + 30)/5
Let b(u) = -u + 2*u - 5 - 15*u**2 - 11*u. Let z(x) be the first derivative of -x**3/3 + 488. Let c(l) = b(l) - 10*z(l). Factor c(i).
-5*(i + 1)**2
What is v in -16/5*v**3 + 2/5*v**5 - 328/5*v**2 + 14/5*v**4 - 128 - 832/5*v = 0?
-4, -2, 5
Let p(w) be the second derivative of -w**5/140 - 4*w**4/21 - 32*w**3/21 + 1916*w. Find n, given that p(n) = 0.
-8, 0
Let j(t) be the third derivative of t**8/20160 - t**7/1260 + t**6/240 - t**5/60 + 5*t**4/4 + 68*t**2. Let w(z) be the third derivative of j(z). Factor w(r).
(r - 3)*(r - 1)
Let u(b) = 5*b**2 + 15. Let n(r) = -r - 1. Let a be 55/(-2) - 1 - 126/84. Let g(o) = a*n(o) + u(o). Factor g(y).
5*(y + 3)**2
Determine z so that 9/4*z**3 + 3/4*z + 0 - 9/4*z**2 - 3/4*z**4 = 0.
0, 1
Let r(q) = 2667*q - 40005. Let z be r(15). Let -3/5*x**4 + z*x**2 - 6/5*x**3 + 0 + 0*x = 0. Calculate x.
-2, 0
Let w(f) = -9 - 199*f - 201*f + 397*f + 11*f**2. Let g be w(4). Suppose 3*a**3 + 3 - 6 - g*a - 9*a**2 + 164*a + 0 = 0. What is a?
1
Let f(h) be the second derivative of -2 - 7*h**2 + 4/9*h**3 + 10*h + 1/18*h**4. Factor f(c).
2*(c - 3)*(c + 7)/3
Let u(p) be the third derivative of p**8/84 + 4*p**7/35 - p**6/30 - 38*p**5/15 + 64*p**3/3 + 3*p**2 - p + 95. Let u(d) = 0. Calculate d.
-4, -1, 1, 2
Let c(x) be the second derivative of -2*x**7/21 + 484*x**6/3 - 72476*x**5 - 2203400*x**4/3 - 8852480*x**3/3 - 5914624*x**2 - 6755*x. Solve c(h) = 0.
-2, 608
Let q(r) be the first derivative of -r**6/24 - 3*r**5/4 + 9*r**4/2 - 19*r**3/3 + 17. Factor q(c).
-c**2*(c - 2)**2*(c + 19)/4
Let h be 4 - ((-16692)/48 + (-3)/(-4)). Factor 3*s**2 - s**2 - h - 2*s + 327.
2*(s - 4)*(s + 3)
Suppose 0 = -l + 5*p + 39, -4*l + 10*p - 6*p + 140 = 0. Factor -59*m**3 + 21*m**3 + 108*m + 32*m**4 - l*m**3 - 4*m**5.
-4*m*(m - 3)**3*(m + 1)
Let f(v) be the third derivative of -v**8/630 + 29*v**7/1575 - 31*v**6/900 + v**5/75 - v**2 - 539*v. Let f(h) = 0. What is h?
0, 1/4, 1, 6
Let w(c) be the second derivative of c**5/10 + 31*c**4/3 + 340*c**3 + 1800*c**2 - 2*c - 91. Solve w(i) = 0 for i.
-30, -2
Let d(a) = -a**3 - a + 1. Let n(v) = 13*v**3 + 1007*v**2 + 913*v - 84. Let w(f) = 2*d(f) + 2*n(f). What is c in w(c) = 0?
-83, -1, 1/12
Let d(m) = -m**3 - 25*m**2 + 50*m - 39. Let i be d(-27). Let z = i - 67. Factor 14/3*f**2 - 2/3*f + 10/3*f**3 - z.
2*(f + 1)**2*(5*f - 3)/3
Let x = -646 + 659. Let -4*a**5 - 104*a**2 + 52 + 23*a + 8*a**3 - 5*a + 0*a**5 + x*a**4 - 22*a + 39*a**4 = 0. Calculate a.
-1, 1, 13
Factor -350/11*d + 2/11*d**3 - 60/11*d**2 + 0.
2*d*(d - 35)*(d + 5)/11
Let p(s) = -s + 10. Let k be p(1). Suppose -k*x**3 - 177*x**2 + 0*x + 3*x**4 + 3*x**5 + 343*x**2 - 181*x**2 - 6*x = 0. What is x?
-1, 0, 2
Suppose 3*d = -5*v + 50, 0 = -d - 0*v + 4*v - 40. Solve 0*s + d*s**3 + 10/3*s**2 - 8/3 - 2/3*s**4 = 0 for s.
-2, -1, 1, 2
Let h = -233 - -292. Let q be 6/(-4) + -8 + h/6. Find j such that j + q*j**3 - 1/3 - j**2 = 0.
1
Let h(j) be the third derivative of -j**6/900 - 7*j**5/150 + j**4/4 + 34*j**3 + 205*j**2. Let y(i) be the first derivative of h(i). Factor y(s).
-2*(s - 1)*(s + 15)/5
Let s(t) = -t**3 - 26*t**2 - 23*t + 51. Let y be s(-25). Let b be (-11)/(-11) + y/(-2). Solve -n + 0*n**2 + 9/4*n**3 - 3/4*n**5 + 0 - b*n**4 = 0.
-2, -2/3, 0, 1
Let m(a) be the second derivative of 3*a**4/14 + 9106*a**3/21 - 2024*a**2/7 - 4400*a. Factor m(c).
2*(c + 1012)*(9*c - 2)/7
Let f(i) be the first derivative of 1/16*i**4 + 7/8*i**2 + 0*i + 2/3*i**3 + 27. Solve f(n) = 0.
-7, -1, 0
Let j(m) be the first derivative of 3*m**5/5 - 33*m**4/4 + 28*m**3 - 5407. Determine z so that j(z) = 0.
0, 4, 7
Let 0*q + 0 - 6/7*q**4 - 18/7*q**3 + 24*q**2 = 0. Calculate q.
-7, 0, 4
Let q be (-5)/(-45)*-3 - ((-64)/(-48))/(-2). Let k(s) be the first derivative of -27 + 1/14*s**2 + 0*s + q*s**3 + 3/14*s**4. Solve k(b) = 0.
-1, -1/6, 0
Suppose 0 = 63*v - 69*v + 30. Suppose s + 15 = 3*f, -v*f - 25 = 3*s - 10*f. Factor 2*a**2 + s*a**2 + 10*a + 5 + 3*a**2.
5*(a + 1)**2
Let v(w) be the second derivative of -w**4/24 - 844*w**3/3 - 712336*w**2 + 234*w + 1. Factor v(d).
-(d + 1688)**2/2
Let m(x) be the second derivative of -x**8/1344 - x**7/126 + x**6/48 + 3*x**5/4 + 35*x**4/6 + 109*x. Let s(c) be the third derivative of m(c). Factor s(j).
-5*(j - 2)*(j + 3)**2
Let b be (-372)/(-2418) + (-4)/26. Let w(x) be the second derivative of 5*x + b*x**2 - 2/3*x**3 + 1/12*x**4 + 0. Find a such that w(a) = 0.
0, 4
Suppose 52*y - 2536*y + 35966 - 2*y**2 + y**2 - 550154 - 2*y**2 = 0. What is y?
-414
Let h be ((-92)/(-3588))/(15/1170). Factor 0 + 0*l**h + 0*l - 1/2*l**4 - 1/2*l**3.
-l**3*(l + 1)/2
Suppose 2*i - 24 = 2*s, 1693 = -3*i - s + 1689. Let r = -679/10 - -68. Determine g, given that 3/5*g + r*g**i + 9/10 = 0.
-3
Let q**5 - 38*q**3 - 14*q**3 - 8*q + 47*q**4 - 92*q**2 - 40*q - 106*q**4 + 52*q**4 = 0. Calculate q.
-2, -1, 0, 12
Let g(u) be the second derivative of 7/66*u**4 + 21 - u + 1/231*u**7 - 13/110*u**5 + 0*u**3 + 0*u**2 + 1/33*u**6. Factor g(x).
2*x**2*(x - 1)**2*(x + 7)/11
Let l = 253 + -254. Let g be (-1054)/(-620) - l/(1 + -2). What is q in 9/10*q**2 + 1/5 - 1/2*q**3 - g*q + 1/10*q**4 = 0?
1, 2
Let c be (6/(-21))/((-6)/14). Let q = 1529873/1721097 - 1/191233. Suppose -14/9*a**4 + 32/9*a**3 + c*a**2 + q - 32/9*a = 0. What is a?
-1, 2/7, 1, 2
Let v = 16 - 31/2. Suppose -324*x + 1281*x = 0. Find h, given that -1/2*h**4 + x*h**2 + 0*h + 0 + h**3 - v*h**5 = 0.
-2, 0, 1
Let i(t) be the first derivative of -114*t**5/25 + 73*t**4/5 - 78*t**3/5 + 24*t**2/5 + 8*t/5 - 499. Solve i(a) = 0.
-2/19, 2/3, 1
Let n(d) be the first derivative of -2*d**3/9 - 44*d**2/3 + 30*d + 688. Factor n(k).
-2*(k - 1)*(k + 45)/3
Let x = 169 - 142. Let s be (51/12 - 4)/(x/36). Factor 0 + 4/3*p + s*p**3 - 5/3*p*