derivative of j(k). Factor p(m).
m*(m + 14)/4
Let q(a) be the first derivative of a**4/30 + 10*a**3/9 - 193*a**2/15 - 434*a/15 + 11224. Factor q(w).
2*(w - 7)*(w + 1)*(w + 31)/15
Factor -4/7*u**2 + 2/7*u - 2/7*u**3 + 4/7.
-2*(u - 1)*(u + 1)*(u + 2)/7
Let f(m) be the second derivative of m**5/10 - 35*m**4/6 + 84*m**3 + 288*m**2 + 2*m - 1105. Let f(d) = 0. What is d?
-1, 12, 24
Let t(l) be the third derivative of 0 - 2*l**4 - 234*l**2 + 1/30*l**5 + 0*l + 23/3*l**3. Find x such that t(x) = 0.
1, 23
Let o(a) be the first derivative of a**4/22 + 904*a**3/33 - 907*a**2/11 + 908*a/11 - 1837. Solve o(l) = 0 for l.
-454, 1
Let b = 32/3 - 10. Let a(v) = -v**3 + 12*v**2 - 33*v + 8. Let s be a(8). Suppose s*z + 0 + b*z**3 - 2/9*z**4 + 0*z**2 = 0. What is z?
0, 3
Let y(t) = -6*t**2 + 485*t + 1713. Let n(q) = -2*q**2 + 160*q + 570. Let m(d) = -19*n(d) + 6*y(d). Determine v so that m(v) = 0.
-4, 69
Let i be (396 + 572742/(-1410))/(1/(20/(-54))). Find w such that -10/3*w**2 - 2/9*w**4 + 0*w + 0 + i*w**3 - 2/9*w**5 = 0.
-5, 0, 1, 3
Suppose 6*p = -0*p + 720. Suppose 0 = k - t - 24, -3*t = 5*k - 0*t - p. Let -5*x**4 + 20*x + 30*x**3 - 40*x**2 - 29*x**3 + k*x**3 = 0. Calculate x.
0, 1, 2
Let c(x) = x**2 - 3783*x + 3784. Let r be c(1). Suppose -2/3*s**3 + 2*s**r - 1 + 1/3*s**5 - s**4 + 1/3*s = 0. Calculate s.
-1, 1, 3
Let c = 7/27065 + 5406/27065. Find w, given that 0 + 6/5*w**4 - 12/5*w**3 + 2*w**2 - c*w**5 - 3/5*w = 0.
0, 1, 3
Suppose -26*i + 472 = 238. Let k be -12*i/(-540) + (-49)/(-55). Solve 24/11*q + 16/11 + 2/11*q**3 + k*q**2 = 0 for q.
-2
Let f(l) be the first derivative of 2*l**5/25 + 37*l**4/10 + 64*l**3/3 + 744. Suppose f(d) = 0. What is d?
-32, -5, 0
Let o be 8 + -1 - (-8375)/(-1273). Let t be 1 + 42/38 + -2. Factor o*h**2 - 8/19*h**3 + 0 + t*h**4 + 0*h.
2*h**2*(h - 2)**2/19
Factor 12/5*d**2 - 16/5*d - 1/5*d**4 + 0*d**3 + 0.
-d*(d - 2)**2*(d + 4)/5
Let d = 8/813 + -72445/8943. Let r = 667/77 + d. Factor 0*w + 0 - r*w**2 - 2/7*w**3 + 2/7*w**4.
2*w**2*(w - 2)*(w + 1)/7
Find m, given that 492 - 4/3*m**2 + 160*m = 0.
-3, 123
Factor 72*a + 45*a - 155*a**2 + 52*a**2 + 47*a**2 + 53*a**2.
-3*a*(a - 39)
Let m = -641 + 1041. Suppose 10*f - m = 6*f. What is q in 131*q + 0 - 13 - 16*q - f*q**2 - 17 = 0?
2/5, 3/4
Factor -16453 - 4*u**2 - 136*u + 8040 + 7453.
-4*(u + 10)*(u + 24)
Let t(x) be the second derivative of -x**7/2240 + x**6/192 + 3*x**5/160 - x**3/3 - 7*x**2/2 + 17*x. Let a(z) be the second derivative of t(z). Factor a(p).
-3*p*(p - 6)*(p + 1)/8
Let z = 35 - 21. Let w = z - -43. Find g, given that -w - 4*g**2 + 35 + 34 - 8*g = 0.
-3, 1
Let a(f) be the first derivative of f**4/18 - 238*f**3/9 - 239*f**2/3 - 718*f/9 - 54. Factor a(p).
2*(p - 359)*(p + 1)**2/9
Let h(x) be the second derivative of -x**7/147 - 11*x**6/105 + 3*x**5/5 + 645*x - 5. Factor h(b).
-2*b**3*(b - 3)*(b + 14)/7
Let m(w) be the second derivative of w**4/24 - 13*w**3/4 + 19*w**2/2 + 7*w - 788. What is h in m(h) = 0?
1, 38
Let w(h) be the second derivative of -1/10*h**6 - 1/70*h**7 - 1/5*h**3 + 63*h - 7/20*h**4 + 0*h**2 + 0 - 27/100*h**5. Factor w(m).
-3*m*(m + 1)**3*(m + 2)/5
Suppose -24 = -3*m - m - 5*s, 5*m = -2*s + 47. Suppose 4*y + 35 = m*y. Solve -4*x**2 - 5*x**y - 5*x - 11*x + 20*x**3 - 6*x**2 + x + 10 = 0 for x.
-2, -1, 1
Let z(q) be the third derivative of -q**5/20 + 7*q**4/2 - 26*q**3 + 47*q**2 - 6. Let z(d) = 0. What is d?
2, 26
Let m be 391/483 + (15*4/18 - 3). Factor 0*z**2 + 0*z + 0 - m*z**3 + 2/7*z**4.
2*z**3*(z - 4)/7
Let n(g) be the third derivative of 3*g**6/8 + 119*g**5/20 - 5*g**4/4 - 8*g**3 + 1487*g**2. Solve n(o) = 0.
-8, -1/3, 2/5
Let n = 32206 - 32204. Factor -7/5*z**3 + 0 - 9/5*z - 1/5*z**4 - 3*z**n.
-z*(z + 1)*(z + 3)**2/5
Let l be (18 - 0) + (-14 - 1). Let r(z) be the first derivative of 0*z**2 + 0*z**4 + 1/15*z**l - 1/25*z**5 + 0*z - 9. Factor r(f).
-f**2*(f - 1)*(f + 1)/5
Suppose 0 = -5*q, -q + 0 - 7 = -4*x + 4*q + 5. Factor 0 + 70/9*i**x + i**4 + 47/9*i**2 - 14/9*i.
i*(i + 1)*(i + 7)*(9*i - 2)/9
Factor 150/19*h - 136/19 - 14/19*h**2.
-2*(h - 1)*(7*h - 68)/19
Let y(l) be the second derivative of -l**7/42 + 7*l**5/20 + l**4/6 - 2*l**3 - 4*l**2 + 1127*l + 1. Determine x so that y(x) = 0.
-2, -1, 2
Let u = 97714/9 + -10882. Let c = u - -1156/45. Determine d so that 0 + c*d**2 + 6/5*d**3 + 1/5*d**5 + 1/5*d + 4/5*d**4 = 0.
-1, 0
Let b be (-6)/(-15) + (-21)/((-420)/(-8)). Let n(a) be the first derivative of b*a - 7 - 4*a**2 + 4/3*a**3. Factor n(j).
4*j*(j - 2)
Let p = -282239/15 - -18816. Let h(g) be the second derivative of 0 - 1/60*g**4 - 1/100*g**5 + 35*g + 0*g**2 + p*g**3. Factor h(m).
-m*(m - 1)*(m + 2)/5
Let o(a) be the second derivative of a**4/18 - 224*a**3/9 + 12544*a**2/3 - 879*a + 4. Determine i, given that o(i) = 0.
112
Let v be (-2)/((-12)/(-3))*(-65 + (-25397)/(-545)). Factor v + 5*s + 1/5*s**2.
(s + 2)*(s + 23)/5
Suppose -7*f + 10*f - 240 = 0. Suppose -4*q - q = f. Let n(v) = -6*v**2 - 6*v + 16. Let w(r) = 2*r**2 + 2*r - 5. Let j(d) = q*w(d) - 5*n(d). Factor j(b).
-2*b*(b + 1)
Suppose -9218 = -21*k + 10*k. Factor 17 + g**5 + k*g**3 + 6 + 13 + 120*g + 15*g**4 + 145*g**2 - 763*g**3.
(g + 1)**3*(g + 6)**2
Suppose 0 = -11*r - 21 + 54. Determine c, given that 204*c + 3*c**5 + 232*c**2 - 72 - 14*c**r - 31*c**5 - 160*c**4 - 162*c**3 = 0.
-3, -1, 2/7, 1
Factor 0 + 129/2*m**3 + 45/2*m**5 - m + 133/2*m**4 + 39/2*m**2.
m*(m + 1)**3*(45*m - 2)/2
Factor -5*f**2 + 635 - 1440*f - 51*f + 861*f.
-5*(f - 1)*(f + 127)
Let q(o) be the third derivative of -o**5/480 + 73*o**4/16 - 15987*o**3/4 + 8642*o**2. Let q(d) = 0. Calculate d.
438
Let l be (32/(-28))/(96/(-168)). Let c(y) be the first derivative of -6/11*y - 11 - 2/33*y**3 - 4/11*y**l. Suppose c(u) = 0. What is u?
-3, -1
Let c = 120 + -118. Factor 3*n**3 + 98 - 17*n**c - 2*n**3 - 3*n**3 - 70*n - 9*n**2.
-2*(n - 1)*(n + 7)**2
Let y(d) be the second derivative of d**6/280 - d**5/35 + 3*d**4/56 - 20*d**2 - 42*d - 1. Let g(p) be the first derivative of y(p). Factor g(j).
3*j*(j - 3)*(j - 1)/7
Let q be 5/(75/3980) + 228/171. Factor -q - 80/3*z - 2/3*z**2.
-2*(z + 20)**2/3
Let h(r) be the first derivative of 3/4*r**4 + 9*r - 3/2*r**2 - 3*r**3 + 34. Factor h(l).
3*(l - 3)*(l - 1)*(l + 1)
Let c(m) be the second derivative of -1/336*m**7 - 34*m + 1/240*m**6 - 1/24*m**3 + 0*m**2 - 1/96*m**4 + 0 + 3/160*m**5. Solve c(q) = 0 for q.
-1, 0, 1, 2
Let m(g) be the first derivative of -1/5*g**3 + 36/5*g - 59 - 3/20*g**4 + 12/5*g**2. Let m(v) = 0. What is v?
-2, 3
Factor 16 + 46*t**2 + 72*t**2 + 524 - 61*t**2 - 46*t - 551*t.
3*(t - 1)*(19*t - 180)
Let w(q) = 624*q**2 - 1248*q + 636. Let a(p) = p**3 - 1872*p**2 + 3741*p - 1909. Let h(l) = 4*a(l) + 13*w(l). Find o, given that h(o) = 0.
-158, 1
Let l(z) be the second derivative of 0*z**2 - 56/3*z**3 + 8*z + 0 + 1/3*z**4. Solve l(b) = 0.
0, 28
Let u(d) be the first derivative of d**2 + 83*d - 208. Let b be u(-39). Solve 5*q**3 + 20/3*q**4 + q**b + 32/3 - 70/3*q**2 + 0*q = 0.
-4, -2/3, 1
Suppose -32*y + 57420 = 13*y. Let j be ((-464)/y)/((-12)/22). Factor -j*w**2 + 2/3*w + 0.
-2*w*(w - 1)/3
Let a be ((11/55)/((-12)/(-20)))/(8/36). Let v be (-2)/(-4) - (-15)/6. Find j such that 0 + 3*j**2 + a*j**v + 0*j = 0.
-2, 0
Suppose -30 = -2*b + 3*z, -4*b + 4 = -3*b + 4*z. Suppose 3*s - b = -s. Factor 0*a**2 - 4*a**3 - 11*a**s - 3*a**2 - 2*a**2.
-5*a**2*(3*a + 1)
Let i(x) be the second derivative of -1/150*x**6 - 2/15*x**3 + 6/5*x**2 - 3/20*x**4 + 3/50*x**5 + 0 + 83*x. Factor i(o).
-(o - 3)*(o - 2)**2*(o + 1)/5
Factor 1/2*r**3 - 39 + 37/2*r + 20*r**2.
(r - 1)*(r + 2)*(r + 39)/2
Let h = 13991 - 13952. Let a(u) be the second derivative of 1/6*u**2 - 1/9*u**3 + 0 - h*u + 1/36*u**4. What is g in a(g) = 0?
1
Let y be -24 + (-5 - -23) + (-2046)/(-315) + 20/(-50). Let y*b**2 + 168 - 8*b = 0. Calculate b.
42
Let b(i) = -i**2 + 3*i + 112. Let c be b(12). Let -1 + 482*x + 2*x**3 + 1 - 2*x**c - 482*x = 0. Calculate x.
0, 1
Suppose -3*g - 3 = t, 3*g + 5*t - 2109 = -2148. Solve -1/10*v**g + 0 - 3/5*v = 0.
-6, 0
Let p(r) = 2*r + r - 2*r - 60*r**2 + 61*r**2. Let m be p(5). Determine c, given that m*c**4 - 20*c**5 - 58*c**4 + 10*c**2 + 32*c**3 + 6*c**2 = 0.
-2, -2/5, 0, 1
Let v = -67 + 2. Let a = 64 + v. Let j(x) = -x**3 + x + 1. Let c(t) = -t**5 - 2*t**4 - 3*t**3 + 2*t**2 + 4*t + 4. Let p(g) = a*c(g) + 4*j(g). Fa