 + 1/168*m**8 + 0*m - 2048/3*m**3 - 20*m**2 + 0 - 4/15*m**7 - 688/15*m**5 + 704/3*m**4. Let h(b) = 0. Calculate b.
2, 8
Let c = 11391 + -11387. Let f(g) be the second derivative of 0 - 14/15*g**3 + 33*g - 49/5*g**2 - 1/30*g**c. Find l such that f(l) = 0.
-7
Let l(y) be the third derivative of 1/10*y**3 + 51*y**2 - 1/600*y**5 + 0*y + 1/48*y**4 + 0. Let l(o) = 0. Calculate o.
-1, 6
Let k be (730/(-14))/(-5) - ((-42)/6)/98. Let b be (9/(-14))/(18/(-21)). Factor k*w**3 - 3/4 - 21/2*w**2 - 19/4*w**4 + b*w**5 + 19/4*w.
(w - 3)*(w - 1)**3*(3*w - 1)/4
Let s(f) = -f**2 - 114*f + 24. Let v be s(0). Let d(r) be the first derivative of -3/2*r**4 + 2*r**3 - r**2 + 0*r + v + 2/5*r**5. Suppose d(n) = 0. What is n?
0, 1
Let r(o) be the third derivative of 11*o**8/7 + 892*o**7/105 - 1439*o**6/120 - 104*o**5/15 + 89*o**4/6 - 8*o**3 - 9*o**2 + 37*o - 1. Solve r(j) = 0.
-4, -6/11, 1/4, 2/3
Let y(r) be the first derivative of -4*r**5/5 + 14*r**4 + 256*r**3 + 740*r**2 - 2300*r - 358. Solve y(v) = 0 for v.
-5, 1, 23
Factor 0*q**3 + 0 + 2/5*q**4 - 14/5*q**2 + 12/5*q.
2*q*(q - 2)*(q - 1)*(q + 3)/5
Let i(g) = 20*g**2 + 299*g - 15. Let d be i(-15). Let b(s) be the third derivative of -46*s**2 + 0*s - 5/36*s**4 - 1/36*s**5 + d + 0*s**3. Factor b(z).
-5*z*(z + 2)/3
Solve -167 + 8*q + 3*q**2 - 233 + 389 = 0 for q.
-11/3, 1
Let o = 304 - 280. Let -o*r**2 + 21*r**2 + 20 - 35 - 39 + 33*r = 0. Calculate r.
2, 9
Let r(z) be the second derivative of -z**4/16 + 49*z**3/4 - 855*z**2/8 + 2*z - 771. Solve r(b) = 0.
3, 95
Let 265*a + 980 - 691*a**2 + 1368*a**2 - 672*a**2 = 0. What is a?
-49, -4
Let d(j) be the first derivative of j**5/8 + j**4/4 + j**3/12 - 69*j + 8. Let s(a) be the first derivative of d(a). Factor s(h).
h*(h + 1)*(5*h + 1)/2
Let d be (-43 - (-14482)/364)/((-30)/63). Suppose 75/4 + 45/4*p - d*p**2 + 3/4*p**3 = 0. Calculate p.
-1, 5
Suppose -431*o + 335*o = -4320. Let m be 142/4 - 2/(-4). Factor -36*v**3 + 4*v**4 - m*v + 108*v**2 - o*v - 27*v.
4*v*(v - 3)**3
Let x(a) = 5*a**3 - 180*a**2 + 1355*a + 8815. Let u(o) = 5*o**3 - 182*o**2 + 1357*o + 8816. Let w(d) = -5*u(d) + 4*x(d). Factor w(f).
-5*(f - 21)**2*(f + 4)
Let m be ((-21)/(-28))/(28/112). Let f(v) be the first derivative of -3/4*v**2 + m - 1/4*v**3 - 3/4*v. What is g in f(g) = 0?
-1
Let c(s) be the second derivative of -s**5/15 + 8*s**4/9 - 34*s**3/9 + 20*s**2/3 + 142*s. Find a such that c(a) = 0.
1, 2, 5
Let u be (-5 + (-105)/7)/((-2)/2). Suppose -t - 13 + u = 0. Determine r so that 2*r**3 + t*r**4 - 10*r**4 + 13*r**3 = 0.
0, 5
Let d(o) be the first derivative of 4*o**3/15 - 82*o**2/5 + 592*o/5 - 1458. Factor d(h).
4*(h - 37)*(h - 4)/5
Suppose 0 = 18*h - 15*h + 4*z - 350, 2*z = 10. Determine n, given that 33*n**2 + 5*n**5 - 76*n - 59*n - 184*n**2 - 35 - 15*n**4 - h*n**3 - 39*n**2 = 0.
-1, 7
Let c(w) be the first derivative of -w**5/10 - 37*w**4/4 - 95*w**3/2 - 88*w**2 - 70*w + 860. Factor c(f).
-(f + 1)**2*(f + 2)*(f + 70)/2
Let k(x) be the first derivative of 101 + 20*x - 221/4*x**4 + 14/3*x**6 + 2*x**2 - 205/3*x**3 + 104/5*x**5. Suppose k(f) = 0. Calculate f.
-5, -1/2, 2/7, 2
Factor 236*n - 138 + 131*n**2 - 841 - 81*n**2 - 46*n**2 + 235.
4*(n - 3)*(n + 62)
Let x(k) be the second derivative of 2/75*k**6 + 4/5*k**3 - 62*k + 0*k**2 + 0*k**5 - 7/15*k**4 + 0. Factor x(q).
4*q*(q - 2)*(q - 1)*(q + 3)/5
Let t(i) be the second derivative of -5*i**4/33 + 23*i**3/33 - 6*i**2/11 - 83*i - 4. Factor t(l).
-2*(l - 2)*(10*l - 3)/11
Let c(v) = -v**2 + 11*v - 10. Let y be c(10). Suppose y*z - 5*z = -4*z. Factor z*i**3 + 36*i - 4*i**3 - 3*i**2 - 20 - 9*i**2.
-4*(i - 1)**2*(i + 5)
Let i(w) be the first derivative of -4*w**5/5 - 5*w**4 - 28*w**3/3 - 6*w**2 - 1674. Factor i(p).
-4*p*(p + 1)**2*(p + 3)
Let g be ((-238)/(-6) + 3)/(19440/5832). Factor -g*u - 16/5*u**3 + 2/5*u**4 - 12*u**2 - 22/5.
2*(u - 11)*(u + 1)**3/5
Suppose -25*l - 141 = -84*l - 46*l + 279. Factor 22/9*b**2 - 4/9*b + 14/9*b**l + 0 - 32/9*b**3.
2*b*(b - 1)**2*(7*b - 2)/9
Let z(j) = j**2 - 7*j - 42. Let v be z(9). Let q be v/112*21/(-18). Let q*o**2 + 3/4 - o = 0. Calculate o.
1, 3
Let a(c) = 86*c + 230. Let t be a(-4). Let n be t/(-21) - (-9)/(-21). Suppose -5/4*g**3 + n*g - 2 + 1/2*g**2 = 0. What is g?
-2, 2/5, 2
Factor -1160*a**2 - 144*a**3 - 3*a**4 - 2*a**4 + 625*a**2 - 301*a - 46*a**3 - 49*a.
-5*a*(a + 1)*(a + 2)*(a + 35)
Let b(s) be the third derivative of s**5/180 + s**4/8 - 110*s**3/9 - 15*s**2 - 52*s. Factor b(x).
(x - 11)*(x + 20)/3
Let x be ((-9)/(-5))/((-4677)/(-10913)). Factor 3*z - 6/5 + x*z**2.
3*(z + 1)*(7*z - 2)/5
Suppose -5*l = -w + 2, -38*w + 40*w + 6*l = 4. Suppose -5/4*y**3 + 0*y + 0 + 3/4*y**w = 0. Calculate y.
0, 3/5
Suppose -5*d = -3*x - 14, 5*d + 16 = 8*d + 2*x. Suppose -p = -81*n + 78*n + d, 2*p = 2*n. Solve 8/5*j - 2 + 2/5*j**n = 0 for j.
-5, 1
Let -511 + 832*t - 2*t**2 - 1241 - 2*t**2 + 104 = 0. Calculate t.
2, 206
Let g(t) be the third derivative of -t**6/540 - 17*t**5/60 + 8*t**3/3 - 82*t**2. Let p(i) be the first derivative of g(i). Factor p(o).
-2*o*(o + 51)/3
Let r(y) be the first derivative of -y**4/12 + 362*y**3/9 - 11387*y**2/2 + 83544*y + 6178. Factor r(u).
-(u - 177)**2*(u - 8)/3
Let h(s) be the third derivative of s**7/420 + 7*s**6/30 + 87*s**5/40 + 51*s**4/8 - s**2 - 929*s - 1. Factor h(i).
i*(i + 2)*(i + 3)*(i + 51)/2
Let q(x) be the first derivative of -4*x**5/5 + 57*x**4 + 248*x**3/3 - 456*x**2 - 928*x + 6382. Let q(z) = 0. What is z?
-2, -1, 2, 58
Let m be (-28)/(-10)*55/(-242)*-11*40/70. Solve -136/7*y**3 - 12/7*y - 20/7*y**5 + 0 - 10*y**2 - 14*y**m = 0.
-3, -1, -1/2, -2/5, 0
Let t(x) be the first derivative of -1/15*x**5 - 4/3*x**2 + 1/6*x**4 - 101 + 0*x + 4/9*x**3. Factor t(i).
-i*(i - 2)**2*(i + 2)/3
Let l(n) be the first derivative of -11*n**8/7560 - n**7/252 - n**6/405 + 31*n**3 + 121. Let q(w) be the third derivative of l(w). What is z in q(z) = 0?
-1, -4/11, 0
Factor -3*a**3 - 213635*a + 219608*a + 501*a**2 + 2988 + 2481*a**2.
-3*(a - 996)*(a + 1)**2
Suppose 6 = 3*k, 0 = -m + 7*k - 5*k. Suppose -2*h + 24 = -0*r + 5*r, 5*h - 5*r + 10 = 0. Let -h - 66*a**4 + 8*a**2 - 2 + 62*a**m = 0. What is a?
-1, 1
Suppose 0 = 55*f - 60*f + 10. Suppose 110 - f = 36*i. Find k, given that 1/4*k**i + 63/4*k + 49/4 + 15/4*k**2 = 0.
-7, -1
Let c(i) = 3*i**4 - 22*i**3 + 79*i**2 + 110*i - 956. Let p(w) = -7*w**4 + 46*w**3 - 157*w**2 - 219*w + 1910. Let n(y) = 5*c(y) + 2*p(y). Factor n(z).
(z - 8)**2*(z - 5)*(z + 3)
Factor -6*t**3 + 3/2*t**4 + 0*t + 0*t**2 + 0.
3*t**3*(t - 4)/2
Let l(o) be the second derivative of -1/3*o**4 - 17 - 2*o - 12*o**2 - 10/3*o**3. Factor l(p).
-4*(p + 2)*(p + 3)
Let y = 8487145/3713129 + 1/530447. What is d in -y*d**2 + 12/7*d**3 + 0*d + 0 + 4/7*d**4 = 0?
-4, 0, 1
Let v(y) be the second derivative of 1/18*y**4 + 4/3*y**3 - 37 + y + 9*y**2. Factor v(w).
2*(w + 3)*(w + 9)/3
Let p(r) be the third derivative of 1/210*r**7 + 1/8*r**4 + 0*r + 0*r**3 + 1/120*r**6 + 0 - 1/12*r**5 - 81*r**2. Factor p(d).
d*(d - 1)**2*(d + 3)
Let m = 73139 - 73136. Factor -2/15*s**m + 6/5*s - 2/15*s**2 + 6/5.
-2*(s - 3)*(s + 1)*(s + 3)/15
Let o(k) = 3*k + 2 - 8*k**2 + 5 - 5 - 1. Let v(u) = 9*u**2 - 4*u - 1. Suppose -9*i + 13*i + 24 = 0. Let z(g) = i*o(g) - 5*v(g). Factor z(c).
(c + 1)*(3*c - 1)
Let k(x) be the first derivative of x**3/15 + 223*x**2/10 - 678*x/5 - 5279. Solve k(n) = 0.
-226, 3
Let p(u) = -3*u**2 + 32*u + 123. Let b(f) = 5*f**2 + f**2 - 16*f + 0*f**2 - 5*f**2 - 62. Let n(t) = 5*b(t) + 2*p(t). Let n(a) = 0. What is a?
-8
What is z in -120 + 95*z - 257*z**2 + 597*z**2 - 83*z**2 - 42*z**2 = 0?
-1, 24/43
Let s = 2 - 3. Let q(c) = 4*c**2 - 2. Let r be q(s). Factor 62*n**3 - 4*n**2 + 4*n**4 - r*n**4 - 64*n**3.
2*n**2*(n - 2)*(n + 1)
Let h = -22907 + 22909. Let t(d) be the second derivative of 25/6*d**3 + 10*d + 0 + 5/12*d**4 + 0*d**h. Factor t(i).
5*i*(i + 5)
Let y(p) be the first derivative of 3*p**4 + 0*p + 52 + 16/5*p**5 - 12*p**3 + 4*p**2. Factor y(k).
4*k*(k - 1)*(k + 2)*(4*k - 1)
Factor 254 + 3*r**4 + 48*r**3 - 134 + 306*r + 255*r**2 + 24*r**3.
3*(r + 1)**2*(r + 2)*(r + 20)
Let s(q) = 9*q**2 - 60*q. Let k = 148 + -150. Let t(p) = -p**2 + 6*p. Let m(a) = k*s(a) - 21*t(a). Suppose m(v) = 0. Calculate v.
0, 2
Let m(i) = 2*i**3 + 91*i**2 - 7*i - 121. Let l(s) = s**3 - s**2 - 2*s - 5. Let j(h) = 5*l(h) - m(h). Find g, give