tive of o(r). Factor c(u).
-3*u*(u + 6)*(7*u + 2)
Factor -7/6*i**2 + 0 + 25/6*i.
-i*(7*i - 25)/6
Let w(j) be the third derivative of j**5/210 - 43*j**4/42 + 2*j**2 + 756. Factor w(x).
2*x*(x - 86)/7
Let c(z) be the third derivative of z**7/280 - 43*z**6/160 - 23*z**5/40 + 11*z**4/4 - 2106*z**2. Let c(a) = 0. What is a?
-2, 0, 1, 44
Let p(v) = 151*v**2 + 94*v - 1. Let c be p(3). Let q = c - 6557/4. Suppose q*k + 1/4*k**2 + 1/2 = 0. What is k?
-2, -1
Let p(m) = m**3 - 41*m**2 - 69*m - 104. Let t be p(43). Let k = -625 + t. Factor 2/3*h - 1/3 - 1/3*h**k.
-(h - 1)**2/3
Let b(k) = 2*k**4 - 16*k**3 + 90*k**2 - 96*k. Let q(u) = 2*u**4 - 15*u**3 + 89*u**2 - 95*u. Let p(z) = -13*b(z) + 12*q(z). Factor p(y).
-2*y*(y - 9)*(y - 3)*(y - 2)
Let s(g) be the first derivative of -1/10*g**4 - 19/5*g**2 + 84/5*g - 44/15*g**3 + 196. Determine q so that s(q) = 0.
-21, -2, 1
Let q = 41 - 37. Suppose -40 = -8*f + q*f. Factor -285 - 6*w**2 - f*w + 0*w**2 + 281.
-2*(w + 1)*(3*w + 2)
Let q(u) be the third derivative of u**7/1260 + u**6/108 + u**5/30 - 61*u**3/3 - u**2 + 78. Let m(w) be the first derivative of q(w). Solve m(k) = 0.
-3, -2, 0
Let j(l) be the third derivative of 25/12*l**4 + 125/6*l**3 - 1/42*l**7 - 4*l**2 + 0 - 5/12*l**6 - 2*l**5 - 2*l. Factor j(p).
-5*(p - 1)*(p + 1)*(p + 5)**2
Factor 2/9*r**2 + 80/9*r + 0.
2*r*(r + 40)/9
Let u(r) be the first derivative of -3*r**5/5 - 39*r**4/4 - 18*r**3 + 240*r**2 - 384*r - 6216. What is p in u(p) = 0?
-8, 1, 2
Let p(d) be the second derivative of -d**9/1512 - d**8/210 - d**7/105 - 17*d**3/2 - 38*d. Let o(t) be the second derivative of p(t). Factor o(r).
-2*r**3*(r + 2)**2
Suppose -22*f**3 + 1456*f + 2094*f - 126380 + 127168 - 4316*f**2 = 0. Calculate f.
-197, -2/11, 1
Find t, given that 107 - 31*t + 111 + 173*t**2 - t**3 + 380*t - 43 = 0.
-1, 175
Let k = 38295/13 + -191436/65. Determine u so that k*u**3 + 6*u**2 + 42/5 + 69/5*u = 0.
-7, -2, -1
Factor -1345*i**2 + 13*i**3 + 784*i**2 - 84 + 318*i + 314*i.
(i - 42)*(i - 1)*(13*i - 2)
Let x(z) be the first derivative of 32/13*z**2 + 1 - 20/39*z**3 + 1/26*z**4 - 64/13*z. Factor x(r).
2*(r - 4)**2*(r - 2)/13
Let k(f) be the third derivative of -222*f**2 + 0 + 0*f + 0*f**3 - 1/20*f**5 + 11/36*f**4 - 1/360*f**6. Factor k(d).
-d*(d - 2)*(d + 11)/3
Let l(y) = 4*y**3 - 114*y**2 - 268*y - 246. Let a(z) = -4*z**3 + 115*z**2 + 254*z + 247. Let d(o) = 6*a(o) + 7*l(o). What is f in d(f) = 0?
-2, -1, 30
Let z = 14/3663 + 6091/3663. Suppose -z*q**2 + 25/3*q + 0 = 0. Calculate q.
0, 5
Suppose -2*q = q - 6. Let h be (2 - 14)/(-3)*((-32)/(-5))/16. Factor 2/5*c**q - h*c + 6/5.
2*(c - 3)*(c - 1)/5
Let r(p) be the second derivative of p**8/448 - 5*p**7/504 + p**6/72 - 43*p**4/6 + 88*p. Let l(m) be the third derivative of r(m). Factor l(z).
5*z*(z - 1)*(3*z - 2)
Suppose -4*d + 5*v = -116 - 138, 4*d - 234 = -5*v. Suppose 0 = -d*m + 122. Solve 0*f**3 + 0 - 3/8*f**5 + 0*f + 3/4*f**4 + 0*f**m = 0.
0, 2
Let a(b) be the first derivative of b**4/8 + 29*b**3/6 + 37*b**2/2 - 52*b + 1358. Let a(u) = 0. Calculate u.
-26, -4, 1
Let j(u) be the third derivative of -u**7/385 - 73*u**6/44 - 99*u**5/10 - 1087*u**4/44 - 362*u**3/11 + 3*u**2 - 139*u. What is z in j(z) = 0?
-362, -1
Let i(x) be the first derivative of 4*x**3/3 + 1880*x**2 + 3756*x - 2480. Factor i(m).
4*(m + 1)*(m + 939)
Let c = 49145 + -49143. Factor -15/2*h**c + 3/4*h**3 - 24 + 24*h.
3*(h - 4)**2*(h - 2)/4
Let c be (3/(-6))/(25/(-300)). Let p be 6/(-7)*(2 + (-26)/c). Solve -10/3*y**p + 4/3 - 6*y = 0 for y.
-2, 1/5
Let n = 924 - 894. Suppose 3*v = -3*p, v - 5*p = 42 - n. Factor -1 - 1/2*t + 1/2*t**v.
(t - 2)*(t + 1)/2
Let q(v) = -10*v - 2*v**3 + 16 + 2*v - 11*v**2 - 23. Let z be q(-5). Factor 1/2*x**3 + 12*x - z - 9/2*x**2.
(x - 4)**2*(x - 1)/2
Suppose -38*o + 67 + 131 = 84. Let j(g) be the second derivative of 5/6*g**4 + 0 + 10/3*g**o - 3*g + 1/6*g**6 - 15/2*g**2 - g**5. Factor j(t).
5*(t - 3)*(t - 1)**2*(t + 1)
Let u(a) be the first derivative of 4*a**3/3 - 314*a**2 + 1848*a + 1397. What is i in u(i) = 0?
3, 154
Let a be (3 - (-161)/(-42))/((-11)/66). Let h(s) be the first derivative of -15/8*s**4 + 22 + 0*s**3 - 3/10*s**a + 0*s + 0*s**2. Factor h(z).
-3*z**3*(z + 5)/2
Let v = 2540 - 2540. Let n(x) be the third derivative of 0 + 1/60*x**5 + 1/8*x**4 + v*x + 0*x**3 + 12*x**2. Factor n(s).
s*(s + 3)
Factor 323/6*k + 0 + 1/6*k**2.
k*(k + 323)/6
Let m(z) be the third derivative of z**9/864 + z**8/672 - z**7/840 + 59*z**3/6 + 4*z**2 + z. Let n(x) be the first derivative of m(x). Solve n(i) = 0 for i.
-1, 0, 2/7
Let w = 126/11617 - -346116/220723. Suppose -w*r**2 + 6/19*r**4 + 0 - 2/19*r**5 + 0*r + 26/19*r**3 = 0. What is r?
-3, 0, 1, 5
Let l(u) = 42 + 9*u**2 + 3*u + 49 - 138 - 3*u**3 - 11*u + 49. Let t(j) = -7*j**3 + 19*j**2 - 15*j + 5. Let b(h) = -5*l(h) + 2*t(h). Let b(w) = 0. Calculate w.
0, 2, 5
Let i(h) = 41*h**2 + 104*h - 630. Let l(r) = -49*r**2 - 105*r + 630. Let x(g) = -6*i(g) - 5*l(g). What is q in x(q) = 0?
-105, 6
Let c(a) be the third derivative of a**6/780 - 187*a**5/195 - 751*a**4/156 - 376*a**3/39 + 14*a**2 - 54. Factor c(r).
2*(r - 376)*(r + 1)**2/13
Let g be -6 - -65 - (1 - 2). Let o be g/18*(-72)/(-15). Factor -b**3 - o + 4 - 5*b + 6*b - 7*b**2 - 17*b.
-(b + 2)**2*(b + 3)
Let d = 15 - 7. Suppose 0 = -4*j + 13*j. What is y in -20*y**2 - d*y + j*y + 2*y + 2*y = 0?
-1/5, 0
Let b(d) be the third derivative of 0 + 0*d + 1/6*d**4 + 1/30*d**5 + 98*d**2 - d**3. Factor b(l).
2*(l - 1)*(l + 3)
Let y(q) be the third derivative of 1/90*q**5 + 0*q - 1/18*q**4 + 0*q**3 + 0 + 1/180*q**6 - 90*q**2. Factor y(g).
2*g*(g - 1)*(g + 2)/3
Let a be (-3 - -9)*30/4. Let w be (3 - a/10)/(-2). Suppose -3/2*f**2 + 9/4*f - w*f**5 - 3/4 + 9/4*f**4 - 3/2*f**3 = 0. What is f?
-1, 1
Let o(j) be the second derivative of j**7/1680 + 5*j**6/48 + 125*j**5/16 - 9*j**4 - 7*j - 1. Let l(s) be the third derivative of o(s). Factor l(b).
3*(b + 25)**2/2
Factor 36/7*b + 4/7*b**3 + 360/7 - 64/7*b**2.
4*(b - 15)*(b - 3)*(b + 2)/7
Suppose 65*b - 67*b - 149 = -u, 0 = 3*u + 5*b - 425. Let c be (-10)/u + 1220/870. Factor 0 - 6*t**2 - c*t.
-2*t*(9*t + 2)/3
Let z = 236927/947740 + 2/236935. Factor 1/4 + z*r**2 - 1/2*r.
(r - 1)**2/4
Let q(k) be the third derivative of 260*k**2 + 1/240*k**6 + 0*k + 0 + 19/120*k**5 + 17/24*k**4 + 0*k**3. Factor q(b).
b*(b + 2)*(b + 17)/2
Let s be (24/(-42))/(((-25)/(-140))/(15/(-12))). Suppose -9/2*g**s + 15/2*g**3 - 3/4*g**5 - 27/4*g - 21/2 + 15*g**2 = 0. Calculate g.
-7, -1, 1, 2
Let k = -1205/20842 + 39371213/54084990. Let a = k - 3/865. Solve -10/3*w - a*w**3 + 8/3*w**2 + 4/3 = 0.
1, 2
Let h = -608 + 616. Let f be (-2)/h*-2*4. Find t, given that 0 + 1/4*t**f - 1/12*t**3 - 1/6*t = 0.
0, 1, 2
Let -3/2*j**2 + 927/4*j**3 - 927/4*j + 3/2 = 0. What is j?
-1, 2/309, 1
Let m(p) be the second derivative of -p**5/40 + 103*p**4/8 - 6163*p. Factor m(g).
-g**2*(g - 309)/2
Let h(x) be the third derivative of x**8/168 - 2*x**7/105 - 19*x**6/60 + 34*x**5/15 - 5*x**4 + 1011*x**2 + 2*x. Factor h(g).
2*g*(g - 3)*(g - 2)**2*(g + 5)
Suppose 0*j - 180 = -3*j - 4*o, 215 = 4*j - 3*o. Let d**5 - 60*d**4 - 67*d**2 + 57*d**2 - 35*d**3 - j*d**5 + 160*d**4 = 0. What is d?
-2/11, 0, 1
Suppose -35*r + 7*r = 13*r. Let o(i) be the third derivative of 0 + r*i + 0*i**4 + 1/12*i**3 - 1/120*i**5 + 6*i**2. What is t in o(t) = 0?
-1, 1
Let w(t) be the second derivative of -t**4/72 - 11*t**3/12 - 31*t**2/6 + t + 147. Let w(h) = 0. Calculate h.
-31, -2
Suppose -5*q - 5 = -o + 1, -5*q - 2 = -2*o. Let b be q/(-6) + 33/9. Let 5*d**3 - 3*d**4 - 2*d**4 + 4*d**b - 4*d**4 = 0. What is d?
0, 1
Suppose -a - 116 = -115. Let f(p) = -p**2 + 2*p - 28. Let o(t) = t**2 + t + 1. Let b(z) = a*f(z) - 4*o(z). Suppose b(q) = 0. Calculate q.
-4, 2
Let o(l) = -15*l**2 + 30*l - 40. Let h(g) = -17*g**2 + 28*g - 41. Let r(b) = 5*h(b) - 6*o(b). Factor r(m).
5*(m - 7)*(m - 1)
Let h(l) be the third derivative of l**6/30 + 30*l**5 + 8512*l**4 + 200704*l**3/3 + 3321*l**2. Factor h(c).
4*(c + 2)*(c + 224)**2
Factor -254*k**2 - 3*k**3 - 8933 + k**3 + 68*k**2 + 6188 - 4590*k - 9405.
-2*(k + 3)*(k + 45)**2
Suppose -4*d - d + 55 = 0. Suppose 0*y = 12*y - 60. Factor -2*m**3 - 2*m**5 + d*m**3 + 6*m**2 - m**y.
-3*m**2*(m - 2)*(m + 1)**2
Let z = 302835 - 302833. Determine x, given that 0 + 2/13*x**z + 2/13*x**3 - 24/