*a**4/2 - 30417500*a**3/3 + 46*a**2 + 63*a. Suppose g(s) = 0. Calculate s.
230
Let q = -3787 - -3792. Let y(c) be the third derivative of -10*c**2 - 1/14*c**4 + 0 + 2/105*c**q + 0*c + 0*c**3. Find m, given that y(m) = 0.
0, 3/2
Factor 2460*h**3 + 22*h**4 + 474552000*h + 1066338*h**2 + 758862*h**2 + 1493*h**3 - 833*h**3 - 20*h**4 + 46268820000.
2*(h + 390)**4
Let j(g) be the second derivative of -512*g**3 - 1/5*g**5 + 8192*g**2 + 16*g**4 - 45*g + 0. What is d in j(d) = 0?
16
Let p = 148 + -126. Factor 2*h**3 - p + 126*h + 0*h**3 + 4716*h**2 - 4746*h**2 - 76.
2*(h - 7)**2*(h - 1)
Suppose 0 = -5*d + 7*d - v - 31, -5*v + 79 = 3*d. Determine j so that 18 + 56*j**2 - 3*j**3 - 26*j**2 - 75*j - d = 0.
0, 5
Factor -437/4*o**2 + 1/4*o**3 + 109*o + 0.
o*(o - 436)*(o - 1)/4
Let k(r) be the second derivative of 0 + 0*r**2 - r**4 + 4/3*r**3 + 2/15*r**6 + 0*r**5 - 40*r. Factor k(w).
4*w*(w - 1)**2*(w + 2)
Let i be -1 + (-26)/(-10) - 14/(-35). Let n be (-10)/(-15) - (4 + (-1915)/75). Factor 108/5 + n*q**i - 72*q - 9/5*q**3.
-3*(q - 6)**2*(3*q - 1)/5
Let s(v) = 5*v**2 + 15*v - 18. Suppose 2*h - 1 = 3*x, 0 = -0*h + h + 4. Let b be (4/6*x)/1. Let m(k) = 1. Let o(u) = b*m(u) + s(u). Factor o(y).
5*(y - 1)*(y + 4)
Let k(p) = 47*p**2 + 471*p + 12. Let q be k(-10). Let u(i) be the first derivative of -10 - 1/9*i**3 + 1/2*i**q - 2/3*i. Let u(j) = 0. What is j?
1, 2
Suppose 15*i = -5*i + 60. Let h(w) be the third derivative of 19*w**2 - 11/8*w**4 + 0*w + 9/20*w**5 + 0 + w**i. Factor h(x).
3*(x - 1)*(9*x - 2)
Let v(h) = -61*h**2 + 15*h. Let s = -785 + 776. Let n(m) = -15*m**2 + 3*m. Let c(z) = s*n(z) + 2*v(z). Factor c(q).
q*(13*q + 3)
Let z = -111493/45 + 37171/15. Let 4/9*j**4 + 0 - 8/9*j + 8/9*j**3 - z*j**2 = 0. What is j?
-2, -1, 0, 1
Suppose 789 + 36 = -3*h. Let r = h + 277. Let 0 - 3/5*k**3 + 0*k + 6/5*k**r - 3/5*k**4 = 0. What is k?
-2, 0, 1
Let c(i) be the third derivative of -i**7/56 + 77*i**6/160 - 97*i**5/80 - 17*i**4/32 + 21*i**3/4 + 677*i**2. Solve c(j) = 0.
-3/5, 1, 14
Let f(i) be the third derivative of i**5/150 - 37*i**4/60 + 12*i**3/5 + 654*i**2. Factor f(z).
2*(z - 36)*(z - 1)/5
Let q = -322 + 326. Solve q + 1503*t - 1509*t - 3 - 2*t**2 - 5 = 0 for t.
-2, -1
Let n(o) = -44*o**2 - 72*o + 20. Let x(r) = r - 1. Let g(q) = -n(q) + 4*x(q). Factor g(d).
4*(d + 2)*(11*d - 3)
Solve -3/2*b**3 + 81/8*b**2 - 57/4*b - 3/8*b**4 + 6 = 0.
-8, 1, 2
Factor 0 - 12/11*p**3 + 2/11*p**4 + 24/11*p + 10/11*p**2.
2*p*(p - 4)*(p - 3)*(p + 1)/11
Let v = 3011 - 3011. Let j(f) be the first derivative of 0*f**2 + 0*f + v*f**3 + 2 - 1/18*f**4 - 2/45*f**5. Find d such that j(d) = 0.
-1, 0
Let b(f) be the second derivative of -5*f**7/336 - f**6/15 - 9*f**5/80 - f**4/12 - f**3/48 + 1860*f. Factor b(z).
-z*(z + 1)**3*(5*z + 1)/8
Let b(u) be the third derivative of u**7/280 - 3*u**6/40 - 3*u**5/16 + 13*u**4/16 + 8543*u**2. Solve b(m) = 0.
-2, 0, 1, 13
Let j(c) = -12*c**4 + 3*c**2 + c - 1. Let r(o) = 64*o**4 - 142*o**3 + 85*o**2 + 243*o - 15. Let y(t) = -3*j(t) - r(t). Let y(l) = 0. What is l?
-1, 1/14, 3
Factor 323*x**2 - 3885 - 13*x**3 + 4317 - 26*x**3 + 2892*x + 217*x**2.
-3*(x - 18)*(x + 4)*(13*x + 2)
Determine t, given that 2*t**2 - 221/2*t + 0 + 1/2*t**3 = 0.
-17, 0, 13
Let j(x) = x**2 + 9*x + 31. Let h be j(-5). Factor -28*t**4 - 31*t**5 - h*t**5 - 8*t**3 + 43*t**5 - 21*t**5.
-4*t**3*(t + 1)*(5*t + 2)
Let q be 5 + (-184)/40 + (-8)/(-320)*104. Find z, given that 3/2*z**4 + 0 + z**q + 0*z**2 + 0*z + 1/2*z**5 = 0.
-2, -1, 0
Let l(r) = -146*r - 27446. Let b be l(-188). Solve 4/5*d**3 + 0 + 4*d + 24/5*d**b = 0.
-5, -1, 0
Solve -8/3*j**4 + 1180/3*j**3 - 20/3*j**5 - 1328/3*j**2 - 3200/3 - 8720/3*j = 0 for j.
-8, -2, -2/5, 5
Let s(x) be the first derivative of -2*x**6/3 + 8*x**5 - 19*x**4 - 88*x**3 + 504*x**2 - 864*x + 733. Find d, given that s(d) = 0.
-3, 2, 3, 6
Let k = -189 - -207. Determine v, given that -443 + 15*v**2 + 443 + v**3 + 2*v**3 + k*v = 0.
-3, -2, 0
Let g = -330 - -705. Let u = 375 - g. Factor 0 + 0*f**2 + 10/9*f**4 + 4/9*f**3 + u*f.
2*f**3*(5*f + 2)/9
Let h(n) be the third derivative of -36 - 10*n**3 - 1/20*n**5 + 0*n - n**2 - 1/40*n**6 + 2*n**4. What is x in h(x) = 0?
-5, 2
Let l(d) be the third derivative of -d**7/315 - 11*d**6/30 - d**5/10 + 990*d**4 - 32400*d**3 - 4224*d**2. Factor l(i).
-2*(i - 12)**2*(i + 45)**2/3
Let r(s) be the second derivative of -s**4/30 - 293*s**3/15 + 243*s + 3. What is j in r(j) = 0?
-293, 0
What is w in 0 - 111/4*w + 1/8*w**5 - 439/8*w**3 - 553/8*w**2 - 107/8*w**4 = 0?
-2, -1, 0, 111
Let t(g) be the first derivative of 2*g**3/39 - 3*g**2/13 - 941. Factor t(h).
2*h*(h - 3)/13
Let r be (6/4)/(2284 + -2281). Let -8*h + 4*h**2 - r*h**3 + 0 = 0. Calculate h.
0, 4
Let v = 32183497/18103212 + -1/2011468. Factor -34/9*q - 2/9*q**3 + v + 20/9*q**2.
-2*(q - 8)*(q - 1)**2/9
Let j(u) be the first derivative of -u**4/6 + 908*u**3/9 + u**2/3 - 908*u/3 - 2049. Suppose j(z) = 0. Calculate z.
-1, 1, 454
Suppose 49*g = 47*g + 64. Suppose g = -11*c + 54. Factor -2/7*i + 2/7*i**c + 2/7*i**3 - 2/7.
2*(i - 1)*(i + 1)**2/7
Let d = 822 - 806. Let y be (d/8 + -4)/(-3). Factor y*f + 1/3*f**2 + 0.
f*(f + 2)/3
Let l(m) be the second derivative of m**6/105 - 39*m**5/70 + 169*m**4/14 - 2197*m**3/21 + 3*m - 605. Find t such that l(t) = 0.
0, 13
Let y(u) be the second derivative of -u**7/1260 - u**6/45 + 3*u**5/20 + u**4/12 + 17*u**2/2 - 37*u. Let l(j) be the third derivative of y(j). Factor l(v).
-2*(v - 1)*(v + 9)
Let x(y) be the first derivative of -y**4 + 940*y**3/3 - 1856*y**2 + 3696*y - 470. Factor x(t).
-4*(t - 231)*(t - 2)**2
Let i(k) = 2*k**2 + 21*k + 3. Let d be i(1). Let w be (-3 - 1)*d/(-208). Factor 1/2*u**3 + 1/2*u**2 - w*u**4 + 0*u + 0 - 1/2*u**5.
-u**2*(u - 1)*(u + 1)**2/2
Let m(n) be the third derivative of -n**7/840 - 89*n**6/120 - 7921*n**5/40 + 11*n**4/3 - 213*n**2. Let x(i) be the second derivative of m(i). Factor x(k).
-3*(k + 89)**2
Let d(w) be the third derivative of w**5/90 - 19*w**4/36 - 92*w**3/9 + 22*w**2 - 37. Let d(u) = 0. What is u?
-4, 23
Let k(c) be the second derivative of c**4/15 - 22*c**3/15 + 36*c**2/5 - 1020*c. Factor k(j).
4*(j - 9)*(j - 2)/5
Let c be ((-100)/(-75))/(20/15). Let d(b) = 4*b**3 - 2. Let p be d(c). Factor -10/3*s + 8/3 + 2/3*s**p.
2*(s - 4)*(s - 1)/3
Let x(i) be the third derivative of i**6/280 - 2*i**5/5 + 35*i**4/8 + 1225*i**3 + 11*i**2 - 4*i + 5. Solve x(v) = 0.
-14, 35
Let t(g) be the second derivative of -g**7/84 + 11*g**6/30 - 21*g**5/5 + 70*g**4/3 - 212*g**3/3 + 120*g**2 + 3714*g. Suppose t(x) = 0. Calculate x.
2, 6, 10
Let m be 1/(-1 + 24/20). Suppose 4*w - 14 - 94 = 4*o, 25 = -m*o. Factor 21*u**2 - 9*u**2 - 5*u**3 - w*u**2.
-5*u**2*(u + 2)
Let q = -44 + 43. Let b be 1 + q/(-5 + 4). Let 34*g**2 + 196*g - 38*g**3 - 10*g**3 + 4*g**4 - 4*g**3 + 106*g**b = 0. Calculate g.
-1, 0, 7
Let 2768896 + 4/9*j**2 + 6656/3*j = 0. Calculate j.
-2496
Suppose 27 = -3*u - 0*u. Let z be (-3*(-4)/(-8))/(u/12). Factor 12*c**3 - 22*c**z - 70 - 10*c**2 + 12*c + 78.
4*(c - 2)*(c - 1)*(3*c + 1)
Let p(v) be the first derivative of -4*v**5/5 + 27*v**4 + 120*v**3 + 8*v**2 - 480*v - 4926. Factor p(m).
-4*(m - 30)*(m - 1)*(m + 2)**2
Let q be (-52)/(-6957)*-9*(-1189)/6. Let c = 2/773 + q. Solve 5/3*f**2 + 80/3 - c*f = 0.
4
Let 215*i - 200 + 5*i**3 + 36*i**2 - 100 + 50*i**2 - 81*i**2 + 75*i**2 = 0. What is i?
-12, -5, 1
Let o(t) be the second derivative of -1/48*t**4 - 7/8*t**3 + 53*t + 0 - 5/2*t**2. Factor o(h).
-(h + 1)*(h + 20)/4
Let b(d) be the third derivative of 0*d - 1/280*d**7 - 61/20*d**5 - 72*d**3 - 57*d**2 + 21*d**4 + 7/40*d**6 + 0. Factor b(r).
-3*(r - 12)**2*(r - 2)**2/4
Factor -4*r**2 - 279*r + 570 + 209*r + 183*r - r**2 + 162*r.
-5*(r - 57)*(r + 2)
Let q be (-5 + 945/175)*(350/(-16))/(-5). Factor -9/2*m - q*m**2 + 9/4.
-(m + 3)*(7*m - 3)/4
Suppose 0 = 86*x - 95*x - 27. Let u(t) = -4*t**4 + 17*t**3 - 48*t**2 + 46*t - 20. Let c(d) = -d**4 + d**3 - d**2 - 2*d. Let b(h) = x*c(h) + u(h). Factor b(r).
-(r - 10)*(r - 2)*(r - 1)**2
Let y(d) be the third derivative of 1/3*d**5 - 39*d**2 - 3/8*d**6 + 0 + d - 10/3*d**3 + 15/8*d**4. Factor y(v).
-5*(v - 1)*(v + 1)*(9*v - 4)
Let t(h) be the third derivative of h**8/84 - 4*h**7/105 - 19*h**6/10 - 82*h**5/15 + 106*h**4/3 + 240*h**3 + 51*h**2 - 12*h. Let t(f) = 0. Calculate f.
-5, -2, 2, 9