/5*m**2 + 3/5*m**3 + 15123/5*m = 0. What is m?
0, 71
Let a(w) be the first derivative of -3*w**4/8 - 189*w**3/2 - 6768*w**2 - 13254*w - 4410. Suppose a(r) = 0. Calculate r.
-94, -1
Let g(a) be the third derivative of a**5/270 + a**4/3 - 460*a**3/27 + 40*a**2 - 49. Find w, given that g(w) = 0.
-46, 10
Factor 132*r - 3/2*r**2 - 1701/2.
-3*(r - 81)*(r - 7)/2
Let d(a) = 3*a - 19. Let r be d(7). Let g be 31/11 + r*(-6)/(-66). Factor 1/4*l**2 - 1/8 + 1/4*l**g - 1/8*l**4 - 1/8*l**5 - 1/8*l.
-(l - 1)**2*(l + 1)**3/8
Let h(d) be the third derivative of d**8/504 - d**7/21 - 47*d**6/6 + 2323*d**5/9 + 55545*d**4/4 - 985527*d**3 + d**2 + 270*d - 2. Factor h(n).
2*(n - 23)**3*(n + 27)**2/3
Let b = -5 - -7. Suppose 5*s - 18 = -i, -31*s - 3*i = -32*s + 10. Factor 6*p - 21*p**2 + 7*p**2 - s + 7*p**2 + 5*p**b.
-2*(p - 2)*(p - 1)
Let x(w) = -w**3 + 32*w**2 + 3*w - 93. Let u be x(32). Solve -120*q - 1537 - 125 - u*q**2 + 462 = 0 for q.
-20
Let b(k) be the third derivative of k**5/30 + 317*k**4/12 - 7*k**2 - 17*k. Suppose b(v) = 0. Calculate v.
-317, 0
Let j be (11 - 12)*(-6 - (-11)/((-11)/(-4))). Suppose -j*k + 3/7 + k**2 + 4/7*k**3 = 0. Calculate k.
-3, 1/4, 1
Let j(p) be the second derivative of 5*p**4/12 - 385*p**3/6 + 375*p**2 - 2*p + 296. Factor j(x).
5*(x - 75)*(x - 2)
Let j(q) = q**2 - 16*q + 29. Let g be j(14). Let l(x) = -25*x**2 + 210*x - 2410. Let h(i) = -2*i**2 - i + 1. Let s(w) = g*l(w) - 10*h(w). Factor s(u).
-5*(u - 22)**2
Let r(n) be the second derivative of -n**6/24 - n**5/4 - 5*n**4/8 - 5*n**3/6 + 6*n**2 + 35*n. Let i(v) be the first derivative of r(v). Factor i(x).
-5*(x + 1)**3
Let o = 8889/28 - 1259/4. Let r = 45/14 - o. Solve 0 + r*b**2 - 1/2*b = 0 for b.
0, 1
Let m = 9327 + -9325. Let x(n) be the first derivative of -1/5*n**m - 1/5*n - 15 + 0*n**3 + 1/25*n**5 + 1/10*n**4. Factor x(j).
(j - 1)*(j + 1)**3/5
Let s(i) be the first derivative of 4*i**3/3 - 108*i**2 + 2916*i - 273. Let s(u) = 0. What is u?
27
Suppose -9870*u**2 - 693 + 4917*u**2 + 4956*u**2 - 690*u = 0. What is u?
-1, 231
Let o be (757/15 - -3) + (-871)/4221*-21. Let u be (35 - 1)*(-2)/(-10). Find j such that -1/5 - u*j - o*j**2 = 0.
-1/17
Let h(v) be the second derivative of -v**7/14 - 9*v**6/5 - 177*v**5/20 + 109*v**4/2 + 30*v**3 - 300*v**2 + 127*v - 1. Let h(o) = 0. Calculate o.
-10, -1, 1, 2
Let q(s) be the first derivative of -6*s**3 - 11*s**2 - 1/2*s**4 - 36 - 8*s + 2/5*s**5. Factor q(v).
2*(v - 4)*(v + 1)**3
Let z(g) be the second derivative of -g**3 - 11/12*g**4 + 0*g**2 + 17/20*g**5 - 149*g + 0. Factor z(d).
d*(d - 1)*(17*d + 6)
Suppose -12*p - 9061 = -24217. Let 1311*i**2 + 7*i**3 - 28*i - 27*i**3 - p*i**2 = 0. Calculate i.
0, 1, 7/5
Let s(h) be the third derivative of -h**6/120 - 13*h**5/30 - 23*h**4/6 - 44*h**3/3 - 12*h**2 + 17. Suppose s(j) = 0. What is j?
-22, -2
Let y = 3306 - 3303. Let l(t) be the second derivative of 0 - y*t + 2/15*t**6 - 1/10*t**5 + 0*t**2 + 0*t**4 + 0*t**3 - 1/21*t**7. Suppose l(x) = 0. Calculate x.
0, 1
Let d(f) be the second derivative of 3*f**5/100 + 2321*f**4/10 + 5387041*f**3/10 - 8245*f. Factor d(s).
3*s*(s + 2321)**2/5
Let h = -8454 + 8470. Let p be (17/((-170)/(-15)))/((-1)/(-2)). Factor p*f**4 + 32*f**2 - 52/3*f**3 - 16/3 - h*f.
(f - 2)**3*(9*f + 2)/3
Let g(k) = 2*k**2 - 19*k - 39. Let p be g(13). Suppose 0*n**2 - 5*n**4 + 50*n**2 - 9*n**3 - 3*n**3 + 16*n + 3*n**4 - p*n = 0. Calculate n.
-9, 0, 1, 2
Suppose 362*l**2 - 116*l**2 - 127*l**2 - 120*l**2 - 897*l = 0. What is l?
-897, 0
Suppose -13*k + 136 = -46. Find v such that 1 - 7 + 10*v**2 - k*v**3 + 2 - 6*v**2 + 14*v = 0.
-1, 2/7, 1
Let j be (-15)/(-55) + 20322/990. Let v(l) be the first derivative of 34*l**4 + 6 - 8*l + j*l**5 + 14/3*l**6 + 64/3*l**3 - 2*l**2. Solve v(y) = 0 for y.
-1, 2/7
Let l = 39473 - 2842051/72. Let u(p) be the third derivative of 0 + 30*p**2 - l*p**4 + 11/36*p**3 + 0*p - 1/360*p**5. Factor u(i).
-(i - 1)*(i + 11)/6
Let y be (-8 - -7)/((-2)/(-10)) - 10. Let o be (-7)/(49/(-30))*(-6)/y. Let -3/7*a**4 - 9/7*a**2 + 12/7*a**3 + o - 12/7*a = 0. What is a?
-1, 1, 2
Let z be ((-5 - -5)/12)/1. Let l(p) be the second derivative of 0 + 0*p**4 + 20*p + 0*p**2 - 1/40*p**6 - 9/40*p**5 + z*p**3. Solve l(a) = 0.
-6, 0
Let u = -1183598/11 + 107600. Solve 0 - 2/11*r**5 - 2/11*r**2 + u*r**4 + 0*r + 2/11*r**3 = 0 for r.
-1, 0, 1
Let c(m) be the first derivative of m**6/135 + m**5/30 - 8*m**4/27 + 4*m**3/9 + 21*m - 25. Let x(u) be the first derivative of c(u). Factor x(v).
2*v*(v - 2)*(v - 1)*(v + 6)/9
Let x(j) be the first derivative of -55/2*j**2 + 121/12*j**3 + 6 + 25*j. Factor x(g).
(11*g - 10)**2/4
Factor 4*k**2 + 0*k**2 - 3*k**2 - 12*k - 1038 - 1042 + 2112.
(k - 8)*(k - 4)
Let l(i) be the first derivative of -15/8*i**4 - 8/3*i**2 - 2/3*i - 73/18*i**3 + 60. Let l(g) = 0. What is g?
-1, -2/5, -2/9
Let v(a) be the first derivative of 3*a**4/20 + 48*a**3/5 - 459*a**2/10 + 1441. Factor v(k).
3*k*(k - 3)*(k + 51)/5
Suppose -9*g + 8 = -10*g. Let x = g - -10. Solve 12 + 4*z - 12 - 5*z**3 + 3*z**3 + x*z**2 = 0 for z.
-1, 0, 2
Find s such that 4785/4*s - 2395/2 + 5/4*s**2 = 0.
-958, 1
Suppose -f = 7 - 14. Factor 1 + f*c**2 - 4 - 1 + 61*c**3 - 56*c**3 - 8*c.
(c - 1)*(c + 2)*(5*c + 2)
Let j(y) = y**3 + 8*y**2 - 17. Let k be j(-7). Factor 38*l - 4 - 38*l + 12*l**4 + 19*l**2 + k*l**3 + 5*l**2.
4*(l + 1)**3*(3*l - 1)
Suppose 0 = -8*l + 385 + 87. Let o = -54 + l. Factor -o + 32*y + 6*y**3 - 20*y**2 - 2*y**3 - 6 - 5.
4*(y - 2)**2*(y - 1)
Factor 2676/5 - 2*n**2 + 6686/5*n.
-2*(n - 669)*(5*n + 2)/5
Let 0*y**2 + 0*y + 72/5*y**3 + 4/5*y**4 + 0 = 0. Calculate y.
-18, 0
Let n(x) be the third derivative of -22*x**2 + 0*x + 0*x**3 + 1/40*x**6 - 1/5*x**5 - 1 - 5/8*x**4. Factor n(r).
3*r*(r - 5)*(r + 1)
Let q(c) be the first derivative of -c**6/54 - 26*c**5/45 - 4*c**4/3 + 2*c**3/27 + 49*c**2/18 + 8*c/3 - 7292. Factor q(u).
-(u - 1)*(u + 1)**3*(u + 24)/9
Let b(l) be the first derivative of 5*l**7/42 - l**6/3 + 5*l**4/6 - 5*l**3/6 + 32*l - 84. Let k(a) be the first derivative of b(a). Factor k(v).
5*v*(v - 1)**3*(v + 1)
Let c(r) be the first derivative of 16/39*r**3 - 30 - 9/26*r**4 + 2/65*r**5 + 0*r**2 + 0*r. Solve c(i) = 0.
0, 1, 8
Let b = -136 - -135. Let a be (-8 + -1 + b)*11/(-22). Factor 0*i**2 + 2*i**4 - 2*i**a - 2*i**2 + 2*i**3 + 0*i**4 + 0*i**4.
-2*i**2*(i - 1)**2*(i + 1)
Let p be (-13)/(-3) + 13 + (-222)/18. Let u(g) be the second derivative of 0*g**4 + 0*g**3 + 1/21*g**7 - 1/5*g**p + 0 + 0*g**2 - 25*g - 1/15*g**6. Factor u(z).
2*z**3*(z - 2)*(z + 1)
Let n(w) be the third derivative of 0*w + 1/45*w**6 + 2/9*w**3 - 1 - 17/180*w**4 - 2*w**2 - 97/450*w**5. Determine d so that n(d) = 0.
-2/5, 1/4, 5
Let h(t) = t**3 - 2*t**2 - 2*t - 1. Let b(w) = -8*w**4 + 248*w**3 - 952*w**2 + 1128*w - 404. Let c(m) = -b(m) + 20*h(m). Determine g, given that c(g) = 0.
1/2, 2, 24
Let c(w) be the second derivative of -15*w**4/14 + 47*w**3/21 - 2*w**2/7 + 8524*w. Find x, given that c(x) = 0.
2/45, 1
Suppose -4*p - 711 = -5*m + 73, -5*m + 804 = p. Let n = m + -160. Factor 0 - 32/5*f**4 + n*f + 12/5*f**5 + 28/5*f**3 - 8/5*f**2.
4*f**2*(f - 1)**2*(3*f - 2)/5
Let x = 2046 + -2041. Suppose 0*i + x*i = -i. Solve -18/5*b + i - 1/10*b**3 + 6/5*b**2 = 0 for b.
0, 6
Suppose 0 = 5*g + 5*y - 10, 5*y - 12 - 3 = 0. Let n be (g/3)/((-4)/36). Solve -5*b**n + 2*b**5 + 2*b**4 - 3*b**5 + 4*b**3 = 0 for b.
0, 1
Let o(h) be the third derivative of -5/6*h**4 - 1/180*h**7 + 0 - 4/9*h**3 + 166*h**2 + 1/15*h**6 - 49/360*h**5 + 0*h. Suppose o(s) = 0. What is s?
-1, -1/7, 4
Let j be 4/34 + (-4308)/204 + 24. Let l(u) be the second derivative of 16*u + 0*u**2 + 0*u**4 + 0 + 0*u**j - 1/60*u**5. Find c such that l(c) = 0.
0
Let 1/4*i + 51/4 - 51/4*i**2 - 1/4*i**3 = 0. Calculate i.
-51, -1, 1
Let j(p) = -17*p - 31. Let t be j(-2). Factor -25391 + 25391 - 75*s**2 + 10*s + 110*s**t.
5*s*(2*s - 1)*(11*s - 2)
Let h(i) be the first derivative of -i**6/60 + i**5/5 + 11*i + 14. Let j(z) be the first derivative of h(z). Suppose j(f) = 0. Calculate f.
0, 8
Suppose 44 = -5*i + 5*o - 6, 3*o = 15. Let a be (2700/(-120))/(2 + i). Factor a - 9*g + 3/2*g**2.
3*(g - 5)*(g - 1)/2
Let q be 6/((-36)/30)*1/(-1). Let l be (q - (3 + 2)) + 3. Determine p so that 17*p**3 + 16 + 24*p + 16*p**3 - 2*p**2 - 31*p**l + 14*p**2 = 0.
-2
Let p = -46637/4 - -11661. Let t(m) be 