t z(x) be the first derivative of -169*x**5/60 - 13*x**4/12 - x**3/6 + 50*x**2 + 102. Let r(h) be the second derivative of z(h). Factor r(n).
-(13*n + 1)**2
Let j(k) be the second derivative of -k**7/105 + 152*k**6/15 - 19354*k**5/5 + 558936*k**4 - 4318272*k**3 + 64012032*k**2/5 + 459*k. Factor j(s).
-2*(s - 252)**3*(s - 2)**2/5
Let a = 55 - 53. Suppose 0 = a*b + 3*n - 22, 1 = -2*b + 3*n - 1. Let 18 - 12*z**4 + 3*z**2 - 12*z + 4*z**b + 5*z**2 - 14 + 41*z**3 - 33*z**3 = 0. Calculate z.
-1, 1
Let o(d) be the first derivative of -d - 50. Let f(i) = i**2 + 6*i - 3. Let m(j) = -f(j) + 3*o(j). Factor m(p).
-p*(p + 6)
Suppose -11*b = -14*b - 24. Let h be (-15)/(-12)*1*b/(-2). Factor -17*i**4 - 2*i**h - 3*i**5 - 100*i**3 - 13*i**4 + 55*i**3.
-5*i**3*(i + 3)**2
Suppose 3*k**2 - 3*k**2 - 3*k**3 + 33*k**2 + 608*k - 825 - 533*k = 0. What is k?
-5, 5, 11
Let h = 442660 + -3983918/9. Suppose -8/9*b**3 - 1/9*b**4 - 8/9 - h*b - 7/3*b**2 = 0. What is b?
-4, -2, -1
Let g(l) = -l**3 - 31*l**2 - 1000*l - 29098. Let x be g(-30). Let n = 804/2863 - -2/409. Factor 0 + 16/7*c**3 + 0*c - n*c**4 - x*c**2.
-2*c**2*(c - 7)*(c - 1)/7
Factor 279 - 16 - 2*v**2 + 28*v - 119.
-2*(v - 18)*(v + 4)
Let u be ((-1)/1 - -7) + (-9 - -5). Suppose a + 6 + 8 = y, u*y - 5*a - 37 = 0. Factor y - 70*v**2 + 24*v - 24*v**3 - v**4 - v**4 + 57 + 4.
-2*(v - 1)*(v + 1)*(v + 6)**2
Let h(b) be the third derivative of b**5/12 - 1580*b**4/3 - 8331*b**2. Factor h(u).
5*u*(u - 2528)
Suppose 4*x + q - 382 = 0, 3*x - q - 93 = 2*x. Find k, given that 32 + 138 + 0 + x*k + 5*k**2 = 0.
-17, -2
What is r in 56/3 + 2/3*r**3 - 56/3*r**2 - 2/3*r = 0?
-1, 1, 28
Find t, given that 805*t**4 - 15201*t**2 - 144553*t**2 - 807*t**4 - 6624800 - 90728*t**2 + 2613520*t - 331*t**3 - 1105*t**3 = 0.
-364, 5
Let i(y) = 288*y**2 - 22080*y - 4112. Let n(o) = 41*o**2 - 3154*o - 588. Let v(a) = 3*i(a) - 20*n(a). Factor v(l).
4*(l - 72)*(11*l + 2)
What is z in 1/5*z**2 + 0 - 19/5*z = 0?
0, 19
Determine i so that 32/5*i**3 + 148/5*i**2 + 0*i - 8/5*i**5 - 144/5 - 28/5*i**4 = 0.
-3, -2, -3/2, 1, 2
Let n = 370 + -406. Let o be (-19)/n - (-9)/81*2. Factor 3/4*c**3 - o*c + 3/8*c**2 - 3/8.
3*(c - 1)*(c + 1)*(2*c + 1)/8
Factor -600/7 + 612/7*r + 3/7*r**3 - 162/7*r**2.
3*(r - 50)*(r - 2)**2/7
Let d = -48524/27 + 1796. Let g = 347/270 + d. Determine q so that -g*q**2 - 7/5*q - 49/10 = 0.
-7
Let y(p) be the third derivative of -p**7/42 + p**6/6 + 59*p**5/12 - 105*p**4/4 - 3*p**2 - 2*p + 92. Suppose y(f) = 0. What is f?
-7, 0, 2, 9
Factor 4*u**3 - 5562*u + 28*u**2 - 48 + 2800*u + 2778*u.
4*(u - 1)*(u + 2)*(u + 6)
Let x(u) = 4*u**2 - 652*u - 3573. Let c(l) = 5*l**2 - 1295*l - 7145. Let r(p) = -3*c(p) + 5*x(p). Factor r(z).
5*(z + 6)*(z + 119)
Find o such that 432/7*o**2 + 3*o**5 + 12*o + 0 + 216/7*o**4 + 543/7*o**3 = 0.
-7, -2, -1, -2/7, 0
Let n be 2/(-6 + (-1130)/(-188)). Factor 192*l + 0*l**2 + 28*l**2 - 2*l**2 - 30*l**2 - n.
-4*(l - 47)*(l - 1)
Suppose 2*q - h - 74 = 0, -q + h + 38 = -0*h. Determine j so that -4*j**2 + 3*j**3 + j**2 + 26*j - 2*j**3 - q*j = 0.
-2, 0, 5
Let b(f) be the third derivative of f**7/420 + f**6/120 - f**5/40 - f**4/6 - f**3/3 + 1080*f**2. Determine l so that b(l) = 0.
-2, -1, 2
Let q be 164/20 + (-10)/50. Let s(j) = -36*j**2 - 27*j + 17. Let h(m) = 24*m**2 + 18*m - 11. Let i(t) = q*h(t) + 5*s(t). Factor i(f).
3*(f + 1)*(4*f - 1)
Let g(y) be the second derivative of -2*y**4/9 - 2057*y**3/9 - 514*y**2/3 - 227*y + 3. Solve g(j) = 0.
-514, -1/4
Let v(p) = -5*p**2 - 20*p + 55. Let r(f) be the first derivative of -14/3*f**3 - 9 + 164*f - 59/2*f**2. Let q(g) = 6*r(g) - 17*v(g). What is w in q(w) = 0?
7
Let n(v) = v - 25. Let a be n(26). Suppose d - 23 - a = 0. Factor -21*k**3 + 6*k**2 - d*k + k**2 + 21*k**2 + 17*k**3.
-4*k*(k - 6)*(k - 1)
Let p(g) = g**3 + g**2 + 2*g + 2. Let r = 26 + -26. Let j be p(r). Suppose 11*w + 9 - 7*w - 3*w**j + 2*w = 0. What is w?
-1, 3
Let w be (-1 - (14/(-12) + 0))/(3/9). Let z(d) be the first derivative of -2*d**3 + w*d**4 + 0*d**2 + 0*d - 11. Let z(x) = 0. What is x?
0, 3
Let z(v) be the first derivative of 18 - 15*v**2 + 7*v**3 + 0*v - 3/4*v**4. Factor z(q).
-3*q*(q - 5)*(q - 2)
Let i(v) be the second derivative of v**6/30 + 37*v**5/5 - 231*v**4/2 + 702*v**3 - 4239*v**2/2 + 1032*v. Solve i(z) = 0 for z.
-157, 3
Let b(i) = 362*i + 12310. Let w be b(-34). Find p such that -16/3 - 1/3*p**3 - 4/3*p - 1/3*p**4 + 4*p**w = 0.
-4, -1, 2
Factor -2/15*x**2 + 16 - 38/15*x.
-2*(x - 5)*(x + 24)/15
Let m(b) be the second derivative of -2 + 9/8*b**2 + 1/32*b**4 + 7/16*b**3 - b. Factor m(d).
3*(d + 1)*(d + 6)/8
Let y(j) be the second derivative of j**4/28 - j**3 + 60*j**2/7 - 3*j - 2. Factor y(u).
3*(u - 10)*(u - 4)/7
Let u be (1/(-2))/(1*(-2)/8). Let b be -5 - (-6 + u) - (-2 - 1). Factor -15*h**3 + 18*h**3 + h**b - 12*h + 8*h**2.
3*h*(h - 1)*(h + 4)
Let b(y) be the first derivative of 2*y**5/7 + 316*y**4/7 + 494*y**3/21 - 632*y**2/7 - 72*y - 125. Find x such that b(x) = 0.
-126, -1, -2/5, 1
Let k(j) = -j**5 + j**4 - j**2 - 2. Let s(i) = 22*i**5 + 6*i**4 - 24*i**3 - 32*i**2 + 48. Let l(m) = -24*k(m) - s(m). Solve l(p) = 0 for p.
-1, 0, 2, 14
Factor 2/7*o**2 - 4092/7*o + 2093058/7.
2*(o - 1023)**2/7
Let k(s) be the first derivative of 18 - 1/90*s**5 + 0*s - 1/18*s**4 + 0*s**3 - 8*s**2. Let j(l) be the second derivative of k(l). Factor j(z).
-2*z*(z + 2)/3
Suppose 5*r - 25 = -5*w, 180*w - 6*r + 30 = 177*w. Factor 8/3*i**4 + w + 4/3*i**5 + 0*i - 28/3*i**3 + 16/3*i**2.
4*i**2*(i - 1)**2*(i + 4)/3
Determine g, given that -27*g - 243 - 3/4*g**2 = 0.
-18
Factor -8464 - 76*t**3 + 126*t**3 + 180*t**2 - 52*t**3 - 3864*t.
-2*(t - 46)**2*(t + 2)
Let u(y) be the first derivative of y**5 + 333*y**4/4 + 1647*y**3 - 20405*y**2/2 + 7350*y - 236. Determine i, given that u(i) = 0.
-35, 2/5, 3
Let s be 21/9 + (-22 - (-2340)/108). Determine r, given that -10/9*r + 1/9*r**s - 11/9 = 0.
-1, 11
Let v be -28*(4 - 45/10). Suppose x = -10 + v. Solve 6*u**2 - 281*u**5 - 286*u**5 + 8*u - 7*u**3 - 6*u**x + 566*u**5 = 0.
-4, -2, -1, 0, 1
Let f be 1312/(-23504) + 1/(-13). Let k = f - -1461/791. Solve -10/7 + k*o - 2/7*o**2 = 0.
1, 5
Let c(r) be the second derivative of r**6/12 + 31*r**5/20 + r**4 + 398*r. Suppose c(m) = 0. What is m?
-12, -2/5, 0
Let t be 85*(6 + -5) + 4. Suppose -75 = 7*r - t. Determine k, given that -3/4*k**r + 3/4*k + 3/2 = 0.
-1, 2
Let p(r) = 393*r - 59. Let c be p(9). Factor 3477*o**2 - c*o**2 + 82*o - 15*o.
-o*(o - 67)
Let v be (-1260)/(-27) - 7222/157. Let n = 17 + -49/3. Factor v*m**5 - n - 4/3*m**3 - 2/3*m**4 + 4/3*m**2 + 2/3*m.
2*(m - 1)**3*(m + 1)**2/3
Let u(z) be the second derivative of z**5/50 + 17*z**4/30 - 1013*z. Factor u(b).
2*b**2*(b + 17)/5
Suppose -2*h = 16, 5*b + 1223*h = 1218*h - 15. Suppose 0 - 256/9*o**3 - 638/3*o**4 + 0*o - 8/9*o**2 + 242*o**b = 0. Calculate o.
-2/33, 0, 1
Factor -6860 + 335*s + 26462 + 269*s + 2*s**2 + 0*s**2 - 208*s.
2*(s + 99)**2
Let m(z) be the second derivative of z**7/16380 - 11*z**6/2340 - 23*z**5/780 + 73*z**4/4 - z - 68. Let r(w) be the third derivative of m(w). Factor r(s).
2*(s - 23)*(s + 1)/13
Let d be 1*-12*(-7)/98. Let i(c) be the third derivative of d*c**3 + 0*c + 0 + 1/7*c**4 - 3*c**2 + 1/105*c**5. Factor i(p).
4*(p + 3)**2/7
Let u = -8 - -5. Let w(b) = -b**4 - 5*b**3 + 2*b**2. Let l(d) = -2*d**4 - 6*d**3 + 3*d**2. Let z(k) = u*w(k) + 2*l(k). Let z(a) = 0. What is a?
0, 3
Suppose 7*i = -21*i + 67 + 17. Let m(g) be the first derivative of 0*g - 3/2*g**4 - 5*g**3 + i*g**5 + 3*g**2 - 1. Factor m(l).
3*l*(l - 1)*(l + 1)*(5*l - 2)
Let h = -2116 - -2118. Let a(n) be the third derivative of -17*n**h - 1/30*n**5 - 1/840*n**7 + 0*n**4 + 0*n**3 + 0*n + 0 - 1/80*n**6. Factor a(w).
-w**2*(w + 2)*(w + 4)/4
Let y(l) = -4*l**2 - 14*l + 8. Let g be y(8). Let v be 50/18 + (-80)/g. Factor v*r**2 + 9/5*r**3 - 3/5*r**5 + 0 - 3/5*r**4 + 6/5*r.
-3*r*(r - 2)*(r + 1)**3/5
Suppose 2937888*g**2 - 2373813504*g - 1616*g**3 + 719265491712 + 1/3*g**4 = 0. What is g?
1212
Let b(v) be the first derivative of 3*v**4/8 + 5*v**3/2 - 6*v**2 - 72*v + 1264. Suppose b(g) = 0. Calculate g.
-4, 3
Let k(j) be the second derivative of -j**6/6 + 9*j**5/4 - 45*j**4/4 + 45*j**3/2 + 209*j - 6. Suppose k(c) = 0. Calculate c.
0, 3
Let p = 3071 + -3071. Let g(w) be the second derivative of -1/30*w**6 + 0 +