(d + 1)**2*(4*d + 3)/5
Let q(p) be the third derivative of p**6/600 + 89*p**5/30 + 39605*p**4/24 - 11*p**2 + 6*p + 1. Factor q(x).
x*(x + 445)**2/5
Let n(p) be the first derivative of -11/8*p**2 - 7/24*p**3 + 3*p - 49. Factor n(r).
-(r + 4)*(7*r - 6)/8
Let 5*p**5 + 10*p + 408516*p**3 - 25*p**4 + 408563*p**3 - 35*p**2 - 817034*p**3 = 0. What is p?
0, 1, 2
Factor -5408/3*t**3 + 0*t**2 + 208/3*t**4 + 0*t - 2/3*t**5 + 0.
-2*t**3*(t - 52)**2/3
Let f(j) be the second derivative of -j**7/56 + 7*j**6/40 + 3*j**5/80 - 7*j**4/16 + 2*j + 220. Suppose f(o) = 0. Calculate o.
-1, 0, 1, 7
Let k(x) be the first derivative of -4*x**5/5 - 14*x**4 + 4*x**3/3 + 28*x**2 + 113. Find z such that k(z) = 0.
-14, -1, 0, 1
Let z = -350610 + 350612. Determine q so that 39/5 + 3/5*q**z + 42/5*q = 0.
-13, -1
Let q = 5125447557/9117580 + 2/455879. Let f = q + -2119/4. Factor -783/5*h - 7/5*h**5 - 402/5*h**3 - 864/5*h**2 - 86/5*h**4 - f.
-(h + 3)**4*(7*h + 2)/5
Let s(k) be the first derivative of k**3/18 - 1091*k**2/3 + 2380562*k/3 - 6591. Find f such that s(f) = 0.
2182
Let h(q) be the third derivative of -3*q + 0 + 1/270*q**5 + 2*q**2 - 2/27*q**3 - 1/108*q**4. Let h(t) = 0. What is t?
-1, 2
Let a = 12838 - 12833. Let t(r) be the second derivative of -1/90*r**a - 20*r + 0*r**4 + 1/27*r**3 + 0*r**2 + 0. Factor t(n).
-2*n*(n - 1)*(n + 1)/9
Let l be 125 - 7 - 3*12/(-9). Let i = 24 + l. Find j, given that 147*j**2 - 10*j - i*j**2 + 3*j = 0.
0, 7
Let h = 478 - 260. Suppose -217*k = -h*k. Factor k - 11/2*d**3 - 2*d**4 + 0*d + 3/2*d**2.
-d**2*(d + 3)*(4*d - 1)/2
Let x(i) = 5*i**5 - 905*i**4 + 10*i**3 - 5*i + 10. Let s(a) = -10*a**5 + 1810*a**4 - 18*a**3 + 9*a - 18. Let p(g) = 5*s(g) + 9*x(g). Let p(q) = 0. Calculate q.
0, 181
Suppose -148 = -12*y + 8*y. Determine l, given that -42*l**2 + 2*l**3 + 67*l**2 - y*l**2 - 33*l**2 - 7*l**3 - 40*l = 0.
-8, -1, 0
Suppose -98/15 - 40/3*a**4 - 136/3*a**3 - 476/15*a - 286/5*a**2 = 0. Calculate a.
-1, -7/10
Let d(g) = 3*g**3 + 2*g**2 + 2*g + 3. Let t be d(0). Factor -3/2*v**2 - v - 2/3*v**t - 1/6.
-(v + 1)**2*(4*v + 1)/6
Let o(h) be the second derivative of -31*h**6/5 - 83*h**5/10 - 7*h**4/3 + 34*h + 7. Factor o(y).
-2*y**2*(3*y + 2)*(31*y + 7)
Suppose 0*k + 3*k - 9 = -3*o, 4*k - o + 13 = 0. Let w(m) = m**2 - 1. Let n(s) = 3*s**2 - 11*s - 14. Let j(p) = k*w(p) + n(p). Factor j(d).
(d - 12)*(d + 1)
Let y(l) be the second derivative of -3/40*l**5 - 1/12*l**6 - 1/56*l**7 + 1/6*l**4 - 2 + 3/8*l**3 + 1/4*l**2 - 27*l. What is b in y(b) = 0?
-2, -1, -1/3, 1
Let y be (-1)/((-15)/(-77) - 6/21). Suppose -5*b - 3*a = 0, 10*a = -b + y*a + 8. Factor -1/3*x**b + 0*x + 1/3*x**5 + 1/3*x**4 + 0 - 1/3*x**2.
x**2*(x - 1)*(x + 1)**2/3
Let f(a) be the second derivative of a**6/15 + a**5/20 - a**4 + 3*a**3/2 - 5158*a. Let f(r) = 0. Calculate r.
-3, 0, 1, 3/2
Factor -1/4*y**3 - 111/4*y + 153/4 + 23/4*y**2.
-(y - 17)*(y - 3)**2/4
Let l be (-4)/(-8)*-16*(-1 - (-9)/18). Factor 24/7*n**3 - 2/7*n**l - 512/7 - 384/7*n - 8/7*n**2.
-2*(n - 8)**2*(n + 2)**2/7
Let y(j) be the third derivative of -289*j**7/140 - 2329*j**6/20 - 19041*j**5/10 - 1096*j**4 - 256*j**3 - 1447*j**2. Let y(m) = 0. Calculate m.
-16, -2/17
Let v(u) be the second derivative of -3*u**5/100 + 3*u**4/10 + 31*u**3/10 - 54*u**2/5 + 3495*u. Find s such that v(s) = 0.
-4, 1, 9
Determine p, given that -72*p**4 - 2288*p**3 - 128*p + 218*p**4 + 1120*p**2 + 324*p**5 - 938*p**4 = 0.
-2, 0, 2/9, 4
Let t = -148 + 152. Suppose -36 - 12*n + 27*n**2 + 81*n**t - 167*n**4 + 83*n**4 = 0. Calculate n.
-3, -1, 2
Suppose -6*p - 319 + 616 = 285. Factor -18/5*o**p + 0 + 6*o.
-6*o*(3*o - 5)/5
Let n = -31325 + 31328. Let o(u) be the second derivative of 0 + 1/40*u**6 + 0*u**2 - 3/80*u**5 + 0*u**n + 1/56*u**7 + 10*u - 1/16*u**4. Factor o(q).
3*q**2*(q - 1)*(q + 1)**2/4
Let p(g) = 3*g**3 - 242*g**2 + 232*g - 56. Let b(y) = -y**3 + 80*y**2 - 77*y + 16. Let i(h) = -7*b(h) - 2*p(h). Suppose i(s) = 0. Calculate s.
0, 1, 75
Let z be (24*(-4)/90)/((-2808)/2106). Factor 16/5*l**3 + z*l**2 - 6/5*l + 0.
2*l*(2*l - 1)*(4*l + 3)/5
Let u be (18 + (-2115)/120)*(6 - -2 - 0). Let 8/5*d**u - 2/5*d**2 + 2/5*d**4 - 8/5*d + 0 = 0. What is d?
-4, -1, 0, 1
Suppose 34 + 75 - 462*i + 259*i**2 - 260*i**2 + 354 = 0. What is i?
-463, 1
Let s(b) be the second derivative of -b**4/54 - 74*b**3/27 - 71*b**2/3 + 131*b + 3. Suppose s(g) = 0. What is g?
-71, -3
Suppose 58*m + 13 = -45. Let x(b) = b. Let t(z) = -4*z**2 - 35*z - 100. Let p(s) = m*t(s) + 5*x(s). Find j, given that p(j) = 0.
-5
Let f be (-30)/(-24)*(-4)/(-20). Let c(m) be the second derivative of 0*m**2 + f*m**4 - 15*m + 0 - 1/2*m**3. Factor c(j).
3*j*(j - 1)
Suppose 2*n = 4*k + 2, 68*k - 65*k - 16 = -2*n. Suppose 4/5*l**k + 0 + 1/5*l**5 - 6/5*l**3 - 1/5*l**4 + 8/5*l = 0. What is l?
-2, -1, 0, 2
Let q(s) be the first derivative of 3*s**4/4 + 100*s**3 + 3750*s**2 + 2877. Factor q(u).
3*u*(u + 50)**2
Suppose -447*g + 412*g = 0. Let n(b) be the second derivative of 0*b**2 + 2/15*b**6 + 33*b + 5/3*b**4 + g + 4/3*b**3 + 4/5*b**5. Factor n(z).
4*z*(z + 1)**2*(z + 2)
Suppose -27*y + 86 = 302. Let n be (0 + (-12)/(-40))*y/(-6). Factor 2/5*u**4 + 4/5*u - n*u**2 + 0 - 4/5*u**3.
2*u*(u - 2)*(u - 1)*(u + 1)/5
Let v(f) = -2*f**2 + 15*f - 16. Let l be v(5). Suppose b + l = 3*r, 2*b - 4*b = 0. Factor -25*a**2 - 6*a**4 + 26*a**r + 9*a**3 + a**4 + 30 - 35*a.
-5*(a - 6)*(a - 1)**2*(a + 1)
Let p(h) = -h**3 + h - 5. Let r(u) = -7*u**3 + 530*u**2 + 8*u - 40. Let m(a) = 8*p(a) - r(a). Factor m(b).
-b**2*(b + 530)
Let j be ((-867)/(-140))/((-3)/8*-12). Let k = j + -3/70. Find s, given that 10/9*s**2 - 16/9 - k*s = 0.
-4/5, 2
Let z = -5934 - -5936. Let s(h) be the first derivative of -1/2*h**z + 1/15*h**3 - 11 + 0*h. What is u in s(u) = 0?
0, 5
Factor -16 - 2/5*s**2 + 44/5*s.
-2*(s - 20)*(s - 2)/5
Let i = -37/4928 - -1445/4928. What is x in -4/7*x + 0 - i*x**3 - 6/7*x**2 = 0?
-2, -1, 0
Let j(f) be the third derivative of f**6/360 - 7*f**5/30 + 49*f**4/6 - 11*f**3/2 + 13*f**2 - 2*f. Let k(y) be the first derivative of j(y). Factor k(r).
(r - 14)**2
Suppose 0 = -8*r + 84 - 124. Let q be (0 - (0 - 5 - r))/(-4). What is y in -6/7*y**2 + 10/7*y**3 - 2/7*y + 6/7*y**4 - 8/7*y**5 + q = 0?
-1, -1/4, 0, 1
Let t be (-2)/(10505/(-5235) + 2). Let o = t - 2040/7. Determine p so that 12/7*p - o - 2/21*p**2 = 0.
9
Let m(f) = -3*f**3 + 27*f**2 + 38*f - 2. Let o(i) = 2*i**3 + 2*i**2 - 4*i + 1. Let z(k) = -2*m(k) - 4*o(k). Suppose z(b) = 0. What is b?
-30, -1, 0
Factor 72*x + 652/9 - 4/9*x**2.
-4*(x - 163)*(x + 1)/9
Let w(h) = 2*h**3 - 2*h**2 + h - 2. Let n(m) = -68*m**3 + 120*m**2 - 760*m + 368. Let t(p) = -n(p) - 44*w(p). Determine d so that t(d) = 0.
-7, 2/5, 5
Let g(q) = -q + 55. Let c be g(13). Factor 640 - 28*d**3 - 56*d**2 - 334*d + 5*d**4 - c*d**3 + 416*d**2 - 466*d.
5*(d - 4)**3*(d - 2)
Let y(u) = 2*u**3 - u**2 + 18*u + 1. Let a(h) = 11*h**3 - 73*h**2 + 45*h + 625. Let s(r) = a(r) - 4*y(r). What is z in s(z) = 0?
-3, 3, 23
Let m(v) = v**2 - v - 21. Let t = 343 - 340. Let j(g) = 68. Let x(p) = 45. Let y(l) = 5*j(l) - 8*x(l). Let k(b) = t*y(b) - 4*m(b). Factor k(w).
-4*(w - 3)*(w + 2)
Let y = -322 - -326. Let i(f) = 25*f**2 + 7*f - 3. Let n(s) = -23*s**2 - 9*s + 2. Let u(w) = y*i(w) + 5*n(w). Factor u(p).
-(p + 1)*(15*p + 2)
Let n be 11/(-22)*(6 - 2). Let x be (1 + (-6)/n)/2. Factor 5*k - 2*k**x + 155 - 161 + 3*k.
-2*(k - 3)*(k - 1)
Let w(x) be the third derivative of x**9/181440 + x**8/30240 - x**7/1890 - x**5/30 + x**2 + 47. Let q(t) be the third derivative of w(t). Factor q(n).
n*(n - 2)*(n + 4)/3
Let o(v) be the first derivative of -1/3060*v**6 - 2 - 7/3*v**3 + 0*v - 1/102*v**4 + 0*v**2 + 1/340*v**5. Let y(p) be the third derivative of o(p). Factor y(s).
-2*(s - 2)*(s - 1)/17
Let l(m) be the third derivative of -1/6*m**4 + 0*m**3 + 112*m**2 + m + 0 - 1/60*m**5. Factor l(b).
-b*(b + 4)
Suppose -23*t - 5152 = 23*t. Let x be t/(-48) + 106/(-66). Determine l, given that x + 16/11*l + 2/11*l**2 - 6/11*l**3 = 0.
-1, -2/3, 2
Let x(n) be the second derivative of -n**5/160 - 7*n**4/24 + 35*n**3/48 + 87*n**2/8 - 1941*n. Let x(w) = 0. Calculate w.
-29, -2, 3
Let h = 168 + -162. Let c(z) be the third derivative of 0 + 0*z**3 + 12*z**2 + 1/24*z**h + 1/6*z**5 + 0*z**4 + 0*z. Factor c(u).
5*u**2*(u + 2)
Suppose 1414*v - 703*v = 490*v + 442. Fin