d derivative of n**5/9 + 43*n**4/18 - 4*n**3 + 4*n**2 + 50*n. Let p(a) be the first derivative of z(a). Solve p(f) = 0.
-9, 2/5
Suppose 19 = 2*n + 5*m, m = -3*n - 2*m + 15. Determine q, given that -4*q**2 + 4*q + 2*q**2 - 2*q**3 - q**4 + 6*q**n + q**3 = 0.
-2, -1, 0, 2
Let j be -10*((-8)/30*(172 - 190) - 5). Let t = -18 - -92/5. Determine m so that 1/5 + 0*m**j + t*m - 1/5*m**4 - 2/5*m**3 = 0.
-1, 1
Let j(p) be the second derivative of 5*p**4/12 - 555*p**3/2 + 2722*p. Let j(z) = 0. Calculate z.
0, 333
Let r(z) = 4901*z + 112725. Let u be r(-23). Suppose 6/7*s**3 + 0 + 4/7*s**4 + 8/7*s - 2/7*s**5 - 16/7*s**u = 0. What is s?
-2, 0, 1, 2
Let b be ((-340)/90 + 4)/((-48)/(-756)). Solve b*r**2 + 0*r**3 + 0 - 1/2*r**4 + 3*r = 0 for r.
-2, -1, 0, 3
Let l(f) be the second derivative of -f**5/60 + 2*f**4/3 - 125*f**3/18 + 17*f**2 + 2*f + 29. Factor l(j).
-(j - 17)*(j - 6)*(j - 1)/3
Let j(g) = 110*g - 2310. Let r be j(21). Let n(u) be the first derivative of -u**3 + r*u + 28 - 3/4*u**4 + 3*u**2. Suppose n(m) = 0. Calculate m.
-2, 0, 1
Solve 1/5*k**2 + 702/5 + 123/5*k = 0.
-117, -6
Let x(a) be the first derivative of -484*a**5/35 + 2112*a**4/7 - 12288*a**3/7 - 5485. Factor x(k).
-4*k**2*(11*k - 96)**2/7
Suppose -7 - 25 = -16*f. What is m in 86*m + 9*m**3 - 95*m**2 + 2*m**f - 152*m = 0?
-2/3, 0, 11
Factor 9/2*x + 5*x**2 + 0 + 1/2*x**3.
x*(x + 1)*(x + 9)/2
Let g(o) = o**3 + 2*o - 1. Let s(u) = 3*u**3 - 1002*u**2 + 1002*u - 1. Let j(l) = g(l) - s(l). What is h in j(h) = 0?
0, 1, 500
Let s(v) be the third derivative of v**6/900 + 67*v**5/225 + 1088*v**4/45 - 9248*v**3/45 + 3*v**2 - 41*v + 2. Determine n so that s(n) = 0.
-68, 2
Let a(q) be the second derivative of -q**5/12 - 55*q**4/4 - 1815*q**3/2 - 261*q**2/2 - 2*q + 49. Let r(p) be the first derivative of a(p). Factor r(m).
-5*(m + 33)**2
Let o = 33 - 43. Let c be (-12)/o*(-3)/((-18)/260). Factor -16*k + k**2 + k**2 - 36 + c + 2*k**2.
4*(k - 2)**2
Let d = -4085 - -6246. What is n in 9*n**2 + 48 - 57*n**3 + d*n - 4*n**4 - 2308*n + 7*n**4 + 144*n**2 = 0?
1, 16
Let n = -13 - -16. Suppose -h + 7 = 1. Factor 5*w - h*w**2 + 9*w**3 - 14*w**2 + 6*w**n.
5*w*(w - 1)*(3*w - 1)
Let y(h) = 2 - 3 + 7 - 5. Let a(i) = -5*i**3 - 25*i**2 - 30*i - 4. Let p(d) = -a(d) - 4*y(d). Factor p(b).
5*b*(b + 2)*(b + 3)
Let r(l) be the second derivative of -3*l**5/20 + 60*l**4 + 241*l**3/2 - 48*l. Solve r(m) = 0 for m.
-1, 0, 241
Let h(q) be the third derivative of -1/84*q**8 + 113/105*q**5 + 0*q - 92*q**2 - 2/147*q**7 - 7*q**4 + 121/210*q**6 + 48/7*q**3 + 0. Suppose h(w) = 0. What is w?
-3, 2/7, 1, 4
Let w = 197 + -194. Factor 0*m**2 - 35*m**2 - 10*m**3 + 2*m**4 + w*m**4 - 20*m.
5*m*(m - 4)*(m + 1)**2
Suppose 5*p = 5*p - p. Suppose b + p = 5. Determine t so that 25*t + t**2 - 30 + 0*t**3 + 2*t**2 - b*t**3 + 7*t**2 = 0.
-2, 1, 3
Let w(o) = -2*o - 22. Let k be w(0). Let b = 26 + k. Let -3*n**5 - 7*n**3 - 5*n**b + 14*n**4 + n**3 = 0. What is n?
0, 1, 2
Factor -124/3 + 1/3*h**2 - 20*h.
(h - 62)*(h + 2)/3
Let y be 0 + (-9)/(-45)*9/(90/175). Determine q, given that 0 + 1/2*q**3 - y*q**2 - 9*q = 0.
-2, 0, 9
Factor 80*l**4 - 343 - 99*l**2 + 62*l**3 - 139*l**2 - 637*l - l**5 - 80*l**4 + 5*l**4.
-(l - 7)**2*(l + 1)**2*(l + 7)
Let o = -787/1050 - -47/50. Let v(w) be the first derivative of 38 - o*w**3 + 1/14*w**4 + 1/7*w**2 + 0*w. What is i in v(i) = 0?
0, 1
Let y(n) be the third derivative of -n**5/360 + 67*n**4/72 + 40*n**3 + 3099*n**2. Factor y(w).
-(w - 144)*(w + 10)/6
Let w be 50/30*3 + -1. Let x(u) be the third derivative of -5/8*u**w - 1/5*u**5 - 14*u**2 + 3/40*u**6 + 0 + 0*u + u**3. Factor x(q).
3*(q - 2)*(q + 1)*(3*q - 1)
Factor 315*h**3 + 24456*h**4 - 55*h**3 - 3380*h**2 - 24461*h**4.
-5*h**2*(h - 26)**2
Suppose -288*w + 240*w + 144 = 0. Let u(l) be the second derivative of -1/40*l**6 + 0*l**5 + 0*l**w + 0*l**4 + 0 + 15*l + 0*l**2. Factor u(i).
-3*i**4/4
Let a(w) = -6*w + 22. Let z be a(2). Let 2*d**3 + 4 - z*d**2 + 17*d - 11*d + 5*d**3 - 7*d = 0. What is d?
-4/7, 1
Let i(p) be the second derivative of -p**7/10080 - p**6/2880 + p**5/240 + 11*p**4/6 + p**2 + 12*p + 4. Let z(h) be the third derivative of i(h). Factor z(c).
-(c - 1)*(c + 2)/4
Let t(i) be the second derivative of i**5/60 + i**4/3 - 10*i**3/3 + 107*i**2 + 50*i - 2. Let l(k) be the first derivative of t(k). Let l(u) = 0. Calculate u.
-10, 2
Let g(j) be the third derivative of j**8/1848 + 5*j**7/231 + 29*j**6/220 + 21*j**5/110 + 330*j**2. Find h, given that g(h) = 0.
-21, -3, -1, 0
Find o, given that 118/9*o - 2/9*o**2 + 136 = 0.
-9, 68
Factor -95749/3*c - 1035*c**2 + 1/3*c**3 - 827356/3 + 1/3*c**4.
(c - 68)*(c + 23)**3/3
Let v be 122/(-630) + (-640)/(-2880). Let h(f) be the first derivative of -v*f**5 + 0*f + 1/14*f**2 + 3/28*f**4 - 1/7*f**3 - 15. Suppose h(q) = 0. Calculate q.
0, 1
Suppose -30*j + 15*j + 41 = 11. Suppose -112 + 40*m + 2/7*m**3 + 52/7*m**j = 0. What is m?
-14, 2
Factor 720*y**2 + 2/11*y**5 + 4050/11*y + 0 + 3692/11*y**3 - 16*y**4.
2*y*(y - 45)**2*(y + 1)**2/11
Let d(k) be the second derivative of k**8/23520 - k**7/2940 + k**6/840 - k**5/420 + 11*k**4/4 + 213*k. Let n(f) be the third derivative of d(f). Factor n(i).
2*(i - 1)**3/7
Let d(h) be the third derivative of h**5/60 - 85*h**4/12 - 43*h**2 + 18*h. Factor d(v).
v*(v - 170)
Factor 527 - 2144*k + 4327*k - k**3 - 1670*k - 15*k**2.
-(k - 17)*(k + 1)*(k + 31)
What is l in 256/7*l - 496/7 - 4/7*l**2 = 0?
2, 62
Factor 1/4*k**3 + 37*k + 0 - 19*k**2.
k*(k - 74)*(k - 2)/4
Let h(o) = -o**4 - 2*o**2 + 1. Let n(p) = 48*p**3 + 200*p**2 + 384*p + 260. Let x(z) = -4*h(z) + n(z). What is s in x(s) = 0?
-4, -2
Factor 5520/7*j - 6/7*j**3 + 1362/7*j**2 + 792.
-6*(j - 231)*(j + 2)**2/7
Let d(n) be the third derivative of -1/735*n**7 - 1/210*n**6 + 13/210*n**5 + 185*n**2 + 0*n + 0 + 0*n**3 - 5/42*n**4. Solve d(b) = 0 for b.
-5, 0, 1, 2
Let l be (-2771)/83895 - (-2)/47. Let p(b) be the third derivative of -1/84*b**4 - l*b**5 + 0*b**3 - 1/420*b**6 + 0 + 0*b + 35*b**2. What is x in p(x) = 0?
-1, 0
Let v be 1*-6*15/6. Let l be v/(5/(-5)*1). Factor l*n**4 - 17*n**4 - n**5 + 2*n**5.
n**4*(n - 2)
Let -3051*v**5 - 144*v**2 - 87*v**3 - 1612*v + 1624*v + 144*v**4 + 3126*v**5 = 0. Calculate v.
-2, -1, 0, 2/25, 1
Determine t so that -2983*t - 362 - 2561*t - 2*t**2 - 3882 - 1905 + 607 = 0.
-2771, -1
Let l = -104083/4 - -521951/20. Let l - 394/15*h**3 - 1952/5*h + 1018/3*h**2 + 8/15*h**4 = 0. What is h?
1/4, 1, 24
Let z = 94 + -342. Let w be (-4)/24 + z/48 + 9. Factor -2/3 - 13/3*o - w*o**2.
-(o + 1)*(11*o + 2)/3
Let m(s) be the third derivative of -s**6/40 + 5*s**5/4 - 39*s**4/2 + 8*s**2 + 544*s. Factor m(n).
-3*n*(n - 13)*(n - 12)
Let z(c) = -6478*c**4 + 2824*c**3 - 44*c**2 - 62*c. Let r(s) = -8637*s**4 + 3765*s**3 - 58*s**2 - 83*s. Let p(m) = -10*r(m) + 13*z(m). Solve p(q) = 0 for q.
-3/22, 0, 2/7
Let r = 43109 + -7242311/168. Let p(x) be the second derivative of r*x**7 + 1/24*x**4 - 1/120*x**6 - 1/40*x**5 + 1/24*x**3 - 1/8*x**2 - 11*x + 0. Factor p(l).
(l - 1)**3*(l + 1)**2/4
Suppose 4 = -67*f + 69*f. Let d(y) be the first derivative of 4*y + 4/5*y**5 + f*y**4 - 11 - 2/3*y**6 - 8/3*y**3 - 2*y**2. Suppose d(a) = 0. Calculate a.
-1, 1
Let k(x) = -5*x**3 + 7*x**2 - 19*x + 9. Let f(m) = 2 - 14*m**2 - 396*m + 9*m**3 + 433*m - 20. Let a(v) = -4*f(v) - 7*k(v). Determine h, given that a(h) = 0.
1, 3
Factor 57*v**2 + 1/3*v**4 - 68/3*v + 0 - 47/2*v**3.
v*(v - 68)*(v - 2)*(2*v - 1)/6
Let a(o) be the second derivative of 2*o**6/165 + o**5/22 - 7*o**4/22 + 19*o**3/33 - 5*o**2/11 - o + 14. Suppose a(d) = 0. What is d?
-5, 1/2, 1
Let w be (285/(-54) + 5)*-3 + (-19)/38. Solve w*f**2 + 1 - 1/3*f**3 + 5/3*f = 0.
-1, 3
Let x(k) be the third derivative of -k**8/336 + 17*k**7/210 - 17*k**6/30 + 5*k**5/3 - 2*k**4 - 34*k**2 - 3*k. Suppose x(n) = 0. Calculate n.
0, 1, 2, 12
Let n(d) be the second derivative of 0 - 9/8*d**4 - 25/12*d**3 + 128*d + 1/2*d**2. Let n(w) = 0. Calculate w.
-1, 2/27
Let q be ((-67)/(-201))/(-12 + (-730)/(-60)). Determine k so that -304/7 + 4/7*k**3 - 60/7*k**q - 288/7*k = 0.
-2, 19
Let d be (8 + (-198)/27)/((-1)/(-24)). Suppose -4*l + 18*s + d = 22*s, -s + 2 = 0. Factor -1/5*x**l + x + 6/5.
-(x - 6)*(x + 1)/5
Let f(w) be the first derivative of w**6/6 + 19*w**5 + 185*w**4/4 - 95*w**3/3 - 93*w**2 + 5966. Suppose f(z) = 0. Calcula