ative of 3 + h**2 + 1/3*h**g - 3*h. Factor c(j).
(j - 1)*(j + 3)
Suppose -4*k - 3*h = -6*h - 5697, -2847 = -2*k + 3*h. What is b in -k + 2*b**2 - 2708 + 606*b + 6399 + 28337 + b**2 = 0?
-101
Let n(l) = 88*l**2 + 790*l - 16. Let c be n(-9). Let s(p) be the second derivative of 0*p**4 + 0 + 0*p**3 + 0*p**c + 1/80*p**5 + 19*p. What is w in s(w) = 0?
0
Suppose -16/5*z**4 + 46/5*z**3 - 16 - 2/5*z**5 - 88/5*z + 52/5*z**2 = 0. Calculate z.
-10, -1, 2
Let g(r) be the second derivative of r**4/48 - 475*r**3/24 - 119*r**2/2 - 211*r - 5. Suppose g(t) = 0. Calculate t.
-1, 476
Let p = -57 - -53. Let f(h) = 10*h**3 + 39*h**2 + 18*h - 19. Let m(g) = -20*g**3 - 77*g**2 - 34*g + 37. Let b(a) = p*m(a) - 7*f(a). Find t such that b(t) = 0.
-3, -1, 1/2
Let c(m) = 6*m**3 - 1441*m**2 + 1424*m. Let b(k) = -3*k**3 + 720*k**2 - 711*k. Let t(q) = -11*b(q) - 6*c(q). Let t(v) = 0. What is v?
0, 1, 241
Let v(j) = 8*j**2 + 15*j + 23. Let b = 280 - 275. Let z(g) = 10*g**2 - 96 - 43*g**2 - 14 + 17 - 60*g. Let n(s) = b*z(s) + 21*v(s). Factor n(d).
3*(d + 2)*(d + 3)
Determine p so that -14*p + 112 - 10*p**2 - p**3 + 24*p + 3*p**2 + 161*p - 65*p = 0.
-14, -1, 8
Let j(k) = k**3 - 12*k**2 + k - 4. Let o be j(12). Suppose -3*l - o = c + 7, -4*l = -c + 20. Solve 5*a**4 + 5/2*a**5 - 5/2*a + c*a**3 + 0 - 5*a**2 = 0 for a.
-1, 0, 1
Let f(u) be the second derivative of -3*u**5/20 + 517*u**4/4 - 67591*u**3/2 + 594441*u**2/2 - 191*u. Determine k so that f(k) = 0.
3, 257
Let p be (4*3/360)/(330/990). Factor 0 - 1/10*r**2 + 0*r - p*r**3.
-r**2*(r + 1)/10
Let d(v) be the first derivative of v**5/20 - 11*v**4/12 - 8*v**3/3 + 70*v**2 + 119. Let o(n) be the second derivative of d(n). Let o(b) = 0. Calculate b.
-2/3, 8
Let g(s) be the first derivative of s**5/15 - 169*s**4/3 + 113566*s**3/9 + 38194*s**2 + 38307*s - 1578. Factor g(z).
(z - 339)**2*(z + 1)**2/3
Find c, given that -54*c**2 + 40*c**3 - 203*c**2 + 3*c**4 + 936*c + 17*c**3 - 253*c**2 = 0.
-26, 0, 3, 4
Let h be 1980/(-15)*6/(-1053)*6 + 552/3588. Factor 0 + 1/3*a**4 - h*a**3 + 19*a**2 - 24*a.
a*(a - 8)*(a - 3)**2/3
Let j(d) = -d**2 + 101. Let i be j(0). Let g = i + -59. Find u such that 2*u**2 - 37 + 4*u**2 - 110 - 9*u**2 + g*u = 0.
7
Let w(z) be the first derivative of -3*z**4/4 - 559*z**3 + 3363*z**2/2 - 1683*z - 3950. Factor w(d).
-3*(d - 1)**2*(d + 561)
Let m(z) be the third derivative of -z**6/216 - z**5/72 - 67*z**3/6 + 6*z**2. Let f(b) be the first derivative of m(b). Determine d so that f(d) = 0.
-1, 0
Let c be (86 + -88)*(0 + -1 - 1). Suppose -16 - 14 = -5*j + 2*x, -c*x = -3*j + 32. Factor 45*n**3 - 5*n**j + 20*n - 9*n**2 - 13*n**2 - 20*n**3 - 18*n**2.
-5*n*(n - 2)**2*(n - 1)
What is k in -673*k**5 + 37*k**3 + 4*k**4 + 5*k**4 - 15*k**4 - 18*k**2 + 674*k**5 - 14*k**4 = 0?
0, 1, 18
Let g be (1*(-1*(1 - 0) + 0))/(318020/(-2544160)). Factor -1/4*m**2 + 31/4*m + g.
-(m - 32)*(m + 1)/4
Let f(k) be the second derivative of 12*k + 5*k**3 + 0*k**4 - 1/90*k**6 - 7/30*k**5 + 0 + 0*k**2. Let m(r) be the second derivative of f(r). Factor m(d).
-4*d*(d + 7)
Let j(m) be the third derivative of 2/5*m**5 - 1/2*m**4 + 0*m - 3/40*m**6 + 0*m**3 + 0 + 1/112*m**8 + 47*m**2 - 1/35*m**7. Factor j(b).
3*b*(b - 2)*(b - 1)**2*(b + 2)
Let z(k) = -66*k**2 + 41*k - 180. Let f(j) = 5*j**2. Let a(o) = 26*f(o) + 2*z(o). Factor a(y).
-2*(y - 36)*(y - 5)
Let a be (2/5)/(6/20)*((-52)/(-6) - 8). Factor -4/3*q**3 - a - 26/9*q**2 - 8/3*q - 2/9*q**4.
-2*(q + 1)**2*(q + 2)**2/9
Let m = 8 - 5. Let b be (-4)/(-10) + 10 + 672/(-80). Factor -6*x + 2*x**2 + b*x**4 + 5*x**3 + x**m + 0*x**3 - 4.
2*(x - 1)*(x + 1)**2*(x + 2)
Suppose d + 2 = 83. Let p(w) = 82*w + 2. Let g be p(0). Factor f**g + 0*f**2 - 80 - 4*f - d + 165.
(f - 2)**2
Let h(x) be the second derivative of -x**4/66 - 5*x**3/11 + 1375*x. What is m in h(m) = 0?
-15, 0
Let r(s) be the second derivative of s**7/840 + s**6/30 + 3*s**5/10 - 24*s**4 + 204*s. Let m(b) be the third derivative of r(b). Factor m(h).
3*(h + 2)*(h + 6)
Let -3612*o - 108322*o**4 + 143754*o**2 + 24 + 128662*o**4 - 588597*o**3 + 205725*o**4 + 242595*o**4 + 399675*o**5 = 0. What is o?
-2, 1/73, 2/5
Let j(l) be the first derivative of 0*l - 159 + 5/4*l**4 - 10*l**3 + 20*l**2. Let j(g) = 0. Calculate g.
0, 2, 4
Let i(w) be the third derivative of 2*w**7/105 - w**6/5 - 12*w**5/5 - 20*w**4/3 + 1412*w**2. Factor i(r).
4*r*(r - 10)*(r + 2)**2
Let n(x) = x**5 + x**4 + x**3 - 3*x**2 - x - 1. Let a(k) = -24*k**5 - 15*k**4 - 24*k**3 + 63*k**2 + 21*k + 21. Let h(z) = -a(z) - 21*n(z). Factor h(r).
3*r**3*(r - 1)**2
Let o(q) be the second derivative of 1/12*q**3 + 1/48*q**4 + 40*q + 0 + 0*q**2. Factor o(v).
v*(v + 2)/4
Let i(z) = -5*z + 91. Suppose -r - 12*q + 11 = -9*q, 0 = -6*r - 5*q + 92. Let u be i(r). Suppose -38/3*g + 2/3*g**4 + 14*g**2 + 4 - u*g**3 = 0. Calculate g.
1, 6
Let w(n) be the third derivative of -7/30*n**6 - 169/6*n**3 - 75*n**2 - 37/10*n**5 - 91/6*n**4 - 1/210*n**7 + 0 + 0*n. Factor w(p).
-(p + 1)**2*(p + 13)**2
Let 0*a**2 - 3 + 11/2*a - 1/2*a**5 - 5*a**3 + 3*a**4 = 0. Calculate a.
-1, 1, 2, 3
Let r be (-79)/(-790) - 22/320. Let l(z) be the second derivative of -33/16*z**2 + 3/4*z**3 - r*z**4 - 37*z + 0. Suppose l(j) = 0. Calculate j.
1, 11
Find g, given that 2/19*g**2 - 120*g + 34200 = 0.
570
Let y(s) be the first derivative of 2*s**3/33 + 612*s**2/11 + 1222*s/11 + 6816. Factor y(p).
2*(p + 1)*(p + 611)/11
Suppose -5*u - 1 = 19, 2*u = -2*f + 12. Let g = 22 + -12. Factor 15*q**2 + g*q + 20 + q**2 - 104*q + f*q.
4*(q - 5)*(4*q - 1)
Let a(t) be the first derivative of t**6/12 + 9*t**5/10 + 31*t**4/8 + 17*t**3/2 + 10*t**2 + 6*t - 1003. Suppose a(p) = 0. Calculate p.
-3, -2, -1
Suppose -3/4*x**4 + 711/4*x**2 - 177*x**3 + 0 + 0*x = 0. Calculate x.
-237, 0, 1
Let b(i) be the third derivative of 1/480*i**6 + 1/3*i**3 + 1/40*i**5 + 45*i**2 - 5/32*i**4 + 2 + 0*i. Solve b(l) = 0 for l.
-8, 1
Let v = -648 + 664. Let k(f) = -2*f + 32. Let r be k(v). Factor 1/2*l**3 + 0 + l**2 + r*l - 1/2*l**4.
-l**2*(l - 2)*(l + 1)/2
Factor 3*v**2 - 2352*v + 266120 + 60755 + 134117.
3*(v - 392)**2
Let s(i) be the second derivative of i**7/42 + 5*i**6/24 + 7*i**5/12 + 5*i**4/8 - 45*i**2 + 3*i - 18. Let v(j) be the first derivative of s(j). Factor v(u).
5*u*(u + 1)**2*(u + 3)
Let -207/7*w + 30 - 3/7*w**2 = 0. What is w?
-70, 1
Let w be ((-2320)/448)/(-5) - ((-264)/(-42) - 6). What is g in -9/4*g**4 + 0 - w*g + 15/4*g**3 - 3/4*g**2 = 0?
-1/3, 0, 1
Let d be (-1200)/504*322/(-115). Solve 10/3 + d*i**2 + 15*i = 0.
-2, -1/4
Let y = 11744 - 11730. Let m(v) be the first derivative of 0*v - y - 9/2*v**2 + 5/4*v**4 - v**3 - 1/5*v**5. Factor m(p).
-p*(p - 3)**2*(p + 1)
Let j(u) be the second derivative of 2*u**7/21 + 8*u**6/5 + 8*u**5/5 - 34*u**4/3 - 6*u**3 + 44*u**2 + 2396*u. Let j(m) = 0. What is m?
-11, -2, -1, 1
Let y be (-50)/(-12) - (-1 - -14 - 11627/906). Let g(a) be the second derivative of 0 - 1/30*a**y - 16/5*a**2 - 11*a + 8/15*a**3. Find k, given that g(k) = 0.
4
Let g(l) = -5*l**3 + 28*l**2 - 75*l. Suppose -4*w - 69 = -373. Let b(d) = -15*d**3 - 6*d**3 + 111*d**2 - 224*d - w*d. Let i(h) = 2*b(h) - 9*g(h). Factor i(p).
3*p*(p - 5)**2
Let v = -4620 + 4620. Let i(j) be the first derivative of 1/9*j**3 - 1/6*j**2 + 3/4*j**4 + v*j - 13 + 11/15*j**5 + 2/9*j**6. Solve i(z) = 0 for z.
-1, 0, 1/4
Let l = 125 - 123. Determine i, given that -66*i**4 + 55*i**4 - i**3 - l*i**3 + 4*i**5 = 0.
-1/4, 0, 3
Let c(b) = b - 7. Let v be c(10). Factor -12*l - 151*l**2 - 5 + 159*l**2 + 39*l**v + 5.
l*(3*l + 2)*(13*l - 6)
Let g(s) be the third derivative of s**8/840 - 698*s**7/175 + 1098301*s**6/300 - 365054*s**5/25 + 273529*s**4/15 + 1088*s**2 - s. Factor g(a).
2*a*(a - 1046)**2*(a - 1)**2/5
Solve 0 + 122/5*n - 982/15*n**2 + 16/15*n**3 = 0.
0, 3/8, 61
Let r be 2 + (11 - -3) + -12. Let a(t) be the second derivative of -1/78*t**r - 25/13*t**2 - 31*t - 10/39*t**3 + 0. Solve a(c) = 0.
-5
Let p be (-1834)/84 + 12 - -10. Let j(a) be the first derivative of 5/6*a**3 - 5/6*a**2 - p*a**5 + 0*a + 0*a**4 - 6. Let j(k) = 0. Calculate k.
-2, 0, 1
Let f(c) be the third derivative of 19*c**7/210 - 131*c**6/120 - 7*c**5/30 + 417*c**2. Solve f(z) = 0.
-2/19, 0, 7
Let u = -245 + 250. Let k be (1/(-2) - 2)*-2. Factor 0*z**5 + 17*z**4 + 2*z**k - u*z**4 - 2*z**2 - 10*z**4 - 2*z**3.
2*z**2*(z - 1)*(z + 1)**2