 3*t + 49. Let z be q(-18). Let w(s) = 3*s**2 + 28*s - 45. Let h(r) = z*y(r) - 3*w(r). Factor h(i).
(i - 5)*(i - 4)
Suppose -5*v + 2*a + 12 = 0, -5*a = 34*v - 37*v + 11. Factor -8*c + 379*c**2 - 769*c**2 - 4*c**4 + 4 + 382*c**v + 14*c**3 - 4.
-2*c*(c - 2)**2*(2*c + 1)
Let t(u) be the third derivative of u**7/210 + u**6/30 - 19*u**5/60 + 7*u**4/12 + 3*u**2 - 11*u + 1. Suppose t(n) = 0. Calculate n.
-7, 0, 1, 2
Let r(p) be the third derivative of -p**6/60 + 167*p**5/30 + 214*p**4/3 + 688*p**3/3 + 11*p**2 + 22. Factor r(q).
-2*(q - 172)*(q + 1)*(q + 4)
Let c(a) be the second derivative of a**4/114 - 275*a**3/57 - 276*a**2/19 + 230*a. Factor c(h).
2*(h - 276)*(h + 1)/19
Determine t, given that 2/9*t**2 + 20/9*t - 112/9 = 0.
-14, 4
Suppose 18*s - 29*s + 55 = 0. Let j(b) be the third derivative of -b**2 + 0 + 1/15*b**s + 23*b - b**3 + 1/24*b**4 + 1/120*b**6. Factor j(o).
(o - 1)*(o + 2)*(o + 3)
Let d(l) be the third derivative of -1/20*l**6 + 0*l**5 + 45*l**2 + 1/70*l**7 + 0*l**3 + 0*l**4 + 0 + 0*l. Suppose d(m) = 0. What is m?
0, 2
Suppose 14*y = 12*y + 12*y + 3*y. Find c such that 12/5*c + y + 4/5*c**3 - 16/5*c**2 = 0.
0, 1, 3
Suppose r = w + 33, 4*r - 278 = 5*w - 148. Let a(o) be the first derivative of -r*o**2 - 5/3*o**3 - 245*o + 12. Factor a(v).
-5*(v + 7)**2
Factor 45*b**3 - 6473*b - 46*b**3 + 9*b**2 + 6474*b + 28*b**4 - 37*b**2.
b*(b - 1)*(b + 1)*(28*b - 1)
Let w be 2/(-24)*(16 + -10 + -8). Let g(h) be the third derivative of 0 - 1/240*h**5 + 0*h + w*h**3 + h**2 + 0*h**4. Solve g(v) = 0 for v.
-2, 2
Factor i**4 + 424*i - 98*i**2 + 85*i**2 + 5*i**3 - 417*i.
i*(i - 1)**2*(i + 7)
Let z(r) be the first derivative of -r**3 - 309*r**2/2 + 312*r - 218. Let z(y) = 0. What is y?
-104, 1
Let d(q) be the second derivative of 7*q + 38/15*q**3 - 722/5*q**2 - 1/60*q**4 + 0. Factor d(a).
-(a - 38)**2/5
Let p(u) be the first derivative of -2/27*u**3 + 0*u + 2/9*u**2 + 42. Factor p(c).
-2*c*(c - 2)/9
Let v(x) be the third derivative of 0*x**4 + 1/210*x**5 - 30*x**2 + 0*x**3 - 1/420*x**6 - 2 + 0*x. Solve v(k) = 0.
0, 1
Let t(q) = q**3 + q**2 - q + 1. Suppose -b - 4 = -6. Let n(a) = -5 - 18*a**2 - 2*a**3 + 5*a**b - 5*a**3 - 3*a. Let g(o) = n(o) + 5*t(o). Solve g(m) = 0 for m.
-2, 0
Let p = 6614 + -1190519/180. Let y(h) be the third derivative of 0*h - 19*h**2 + 0 + p*h**5 + 1/36*h**4 + 1/18*h**3. Let y(t) = 0. What is t?
-1
Suppose -197*z + 36 = 2*m - 202*z, 4*m - 6 = -z. Determine b, given that 2/7*b**2 + 4/7*b - 2/7*b**4 + 0 - 4/7*b**m = 0.
-2, -1, 0, 1
Let j(f) be the first derivative of -3*f**4/20 - 206*f**3/5 - 29211*f**2/10 + 274776*f/5 + 5564. Suppose j(y) = 0. What is y?
-107, 8
Let u = 223 + -241. Let g be 2/(-2) - 2*u/12. Suppose g + 3/2*z**2 + 4*z = 0. Calculate z.
-2, -2/3
Factor -2/5*k**2 + 1106/5 - 144/5*k.
-2*(k - 7)*(k + 79)/5
Suppose -118 = -2*l + 260. Let o be 1/(-9) - (-588)/l. Factor 3*d**5 - 44*d**o + 3*d + 25*d - 40*d + 17*d**3 - 3*d**4 - 33*d**2.
3*d*(d - 4)*(d + 1)**3
Let 184*d**3 - 5426*d + 5162*d - 31*d**2 + 159*d**2 - 50*d**3 + 2*d**4 = 0. What is d?
-66, -2, 0, 1
Determine i so that 739/6 + 1/6*i**2 - 370/3*i = 0.
1, 739
Factor 42*f**3 + 5*f**4 + 150*f - 280 - 6*f**4 - 121 + 232*f**2 + 44 - 66.
-(f - 47)*(f - 1)*(f + 3)**2
Find c, given that -3/2*c**2 + 27*c + 57/2 = 0.
-1, 19
Let x(c) be the second derivative of 11/14*c**4 - 32/105*c**6 + 2/5*c**5 - c**2 - 22/21*c**3 - 178*c + 0. Suppose x(g) = 0. Calculate g.
-7/8, -1/4, 1
Let t be (3 + -51)/(-2) + 0 - -2. Suppose 0 = -2*o + 4*x + t, 0*o + x = -3*o + 4. What is m in -8*m**o + 14*m**4 - 506*m**2 - 10*m**3 + 510*m**2 = 0?
0, 2/7, 1
Let m(w) be the second derivative of 5 - 1/3*w**4 + 0*w**2 + 18*w**3 + 10*w. Factor m(k).
-4*k*(k - 27)
Factor 11/4*c - 35/2 + 1/4*c**3 + 5/2*c**2.
(c - 2)*(c + 5)*(c + 7)/4
Factor 2/5*n**2 + 492/5*n + 98.
2*(n + 1)*(n + 245)/5
Let f = -67752 + 67752. Factor -29/4*x + 1/4*x**2 + f.
x*(x - 29)/4
Suppose 16*n**3 + 2/3*n**4 + 0 + 90*n**2 + 0*n = 0. What is n?
-15, -9, 0
Factor -16/5*u - 9/5*u**2 + 33/5.
-(u + 3)*(9*u - 11)/5
Factor 2/17*t**4 + 3968/17*t + 128/17*t**3 + 2172/17*t**2 + 1922/17.
2*(t + 1)**2*(t + 31)**2/17
What is p in 0 - 1/3*p**4 + 44*p + 134/3*p**3 - 265/3*p**2 = 0?
0, 1, 132
Let m(n) be the third derivative of -5*n**8/336 - 25*n**7/7 - 4255*n**6/12 - 54760*n**5/3 - 3798975*n**4/8 - 9370805*n**3/3 - 763*n**2. Factor m(d).
-5*(d + 2)*(d + 37)**4
Let v be 3 + (5136/45 - (-10)/(-75)). Find s, given that -55 + 6*s**3 + 47*s - s**3 - 35*s - 45*s**2 - v*s = 0.
-1, 11
Let w(d) be the first derivative of 4/3*d + 8/9*d**3 + 82 + 5/2*d**2 - 1/4*d**4. Factor w(g).
-(g - 4)*(g + 1)*(3*g + 1)/3
Determine f, given that 56 - 766*f**2 - f**3 + 724*f**2 + 4*f + 12*f**3 + 61*f**4 - 60*f**4 = 0.
-14, -1, 2
Factor 1840/11*z**3 + 17136*z**2 + 6492096/11*z + 4244832/11 + 6/11*z**4.
2*(z + 102)**3*(3*z + 2)/11
Solve -2*x**3 - 12*x + 18*x**3 - 8*x**4 - 4*x**5 - 882*x**2 + 890*x**2 = 0 for x.
-3, -1, 0, 1
Let v be ((-4)/(72/15))/(5/(-60)). Let o(z) be the third derivative of -1/180*z**5 + 0 - 1/12*z**4 - 1/2*z**3 - v*z**2 + 0*z. Factor o(x).
-(x + 3)**2/3
Let o = -57 + 175/3. Let q be 4/18 - (17 - 19). Solve 0 + 8/9*p + 4/9*p**3 + q*p**4 - o*p**5 - 20/9*p**2 = 0 for p.
-1, 0, 2/3, 1
Let g be 46/40 - (-2)/(-5). Let k be 162/14 + -8 + (-348)/609. Let 0*l**4 - k*l**3 - 3/2*l**2 + 9/4*l + g*l**5 + 3/2 = 0. What is l?
-1, 1, 2
Let y be (10 - 597/60)/((1 + 1)/4). Let d(h) be the second derivative of 4/5*h**2 + 1/100*h**5 + y*h**4 + 2/5*h**3 + 0 - 18*h. Suppose d(b) = 0. Calculate b.
-2
Solve 0*w + 0 + 1/2*w**5 + 8*w**2 + 3*w**3 - 9/2*w**4 = 0.
-1, 0, 2, 8
Let r(x) be the second derivative of -4*x**7/21 - 7*x**6/3 - 9*x**5/10 + 143*x**4/6 + 193*x**3/3 + 72*x**2 + 4495*x. Determine h so that r(h) = 0.
-8, -1, 9/4
Let j be (2 - (-7 + (-484)/(-55)))/(-5 - (-818)/160). Factor 1/9*p**2 + j - 8/9*p.
(p - 4)**2/9
Let b(z) = 10*z**3 - 118*z**2 + 520*z - 600. Let p(m) = -6*m**3 + 71*m**2 - 312*m + 360. Let o(a) = -7*b(a) - 12*p(a). Factor o(t).
2*(t - 6)*(t - 5)*(t - 2)
Let x(t) be the third derivative of 5*t**2 + 1/90*t**6 + 0 - 5/2*t**3 + 0*t - 1/3*t**4 + 1/30*t**5. Let p(f) be the first derivative of x(f). Factor p(y).
4*(y - 1)*(y + 2)
Let y(z) be the second derivative of -z**5/4 - 145*z**4/3 - 575*z**3/6 - 33*z - 44. Factor y(o).
-5*o*(o + 1)*(o + 115)
Let b(r) be the first derivative of 4*r**3/15 + 2024*r**2/5 + 1024144*r/5 - 34. Factor b(c).
4*(c + 506)**2/5
Let y(q) be the second derivative of -2*q**6 + 19*q**5/4 - 5*q**4/6 - 25*q**3/6 + 2*q + 364. Factor y(n).
-5*n*(n - 1)**2*(12*n + 5)
Let h(b) be the second derivative of -b**6/90 - 37*b**5/60 - 143*b**4/12 - 1183*b**3/18 + 2197*b**2/3 - 73*b - 1. Factor h(d).
-(d - 2)*(d + 13)**3/3
Suppose 3*i + 26 = 2*x + 7*i, 5*x - 2*i - 5 = 0. Determine y, given that -6 - 3*y**2 + 0*y**2 + 13*y + y**2 + 0 - x*y**2 = 0.
3/5, 2
Factor 16/5 - 52/15*l - 2/15*l**3 + 6/5*l**2.
-2*(l - 4)*(l - 3)*(l - 2)/15
Let x(y) be the first derivative of 5*y**3/3 + 15*y**2 - 275*y + 675. Suppose x(q) = 0. Calculate q.
-11, 5
Determine w, given that -208/15*w + 494/15*w**3 - 1352/15 + 58/15*w**4 + 1006/15*w**2 + 2/15*w**5 = 0.
-13, -2, 1
Suppose -m + 29 = 26. Factor 13*w**m - 20*w**3 - w**2 + 4*w**2 + 10*w**3.
3*w**2*(w + 1)
Factor 1824 - 21*f**3 - 1400*f + 1/2*f**4 - 807/2*f**2.
(f - 57)*(f - 1)*(f + 8)**2/2
Let v(u) be the first derivative of 4*u**5/5 + 44*u**4 + 1076*u**3/3 - 1348*u**2 + 1440*u - 8900. Factor v(h).
4*(h - 1)**2*(h + 10)*(h + 36)
Suppose 441 + 5*p**2 + 2659 - 33*p - 327*p = 0. What is p?
10, 62
Factor 2/3*n**2 + 880 - 284/3*n.
2*(n - 132)*(n - 10)/3
Let h(x) be the first derivative of -x**7/1120 + 7*x**6/480 + x**3/3 - 11*x**2/2 - 181. Let r(i) be the third derivative of h(i). Determine y so that r(y) = 0.
0, 7
Let i(w) be the third derivative of 29*w**5/30 - 119*w**4/12 + 32*w**3 + 3*w**2 + 899*w. Find m such that i(m) = 0.
32/29, 3
Let 232/3*b - 2/3*b**2 - 226 = 0. What is b?
3, 113
Determine b so that 473*b**2 + 47*b + 470*b**2 - 10 - 952*b**2 = 0.
2/9, 5
Let t(w) be the second derivative of -w**7/273 + 11*w**6/65 - 87*w**5/65 + 166*w**4/39 - 72*w**3/13 - 8*w + 2. Factor t(i).
-2*i*(i - 27)*(i - 2)**3/13
Let f = 132 + -130. Suppose 23*m**3 + m**5 - 3*m**5 - 18*m + 2*m**4 - 3*m**3 - 20*m**f + 18 = 0. Calculate m.
-3, -1, 1, 3
Su