Let g = -31 + d. Suppose 8/5*a**3 - 14/5*a - 4/5 - 8/5*a**g = 0. What is a?
-1/2, 2
Let i(a) be the first derivative of a**3/15 + 9*a**2/10 + 8*a/5 - 221. Determine b so that i(b) = 0.
-8, -1
Let r(l) be the third derivative of l**6/280 + 111*l**5/70 + 4107*l**4/14 + 202612*l**3/7 + 112*l**2. Factor r(t).
3*(t + 74)**3/7
Let o(j) be the first derivative of -1 + 1/30*j**4 + 7*j - 4/15*j**3 + 4/5*j**2. Let m(l) be the first derivative of o(l). Factor m(z).
2*(z - 2)**2/5
Let p be ((-1)/(-3))/(28/(-168)). Let u be (9/90*8)/(p/(-5)). Factor 4/3*o**u + 8/3*o + 0.
4*o*(o + 2)/3
Let m(p) be the first derivative of 3*p**4/22 + 34*p**3/11 - 174. Suppose m(y) = 0. Calculate y.
-17, 0
Let r be (-213)/4 - 8/(-32). Let t = 213/4 + r. Suppose t*f**3 + 1/4*f - 1/2*f**2 + 0 = 0. Calculate f.
0, 1
Let g(u) be the third derivative of u**6/380 - 5*u**5/114 + 2*u**4/57 - 2*u**2 + 218*u. Factor g(p).
2*p*(p - 8)*(3*p - 1)/19
Let s be (-192)/128 + (-71)/(-42). Let t(n) be the second derivative of 4*n + 1/70*n**5 + s*n**3 + 2/21*n**4 + 0*n**2 + 0. Factor t(w).
2*w*(w + 2)**2/7
Let k(n) = -n**2 - n - 1. Let i be (-2)/(-2) + 37 + -16. Let z(f) = -7*f + 4*f - 6*f + 2 + 3*f + i*f**2. Let h(y) = -2*k(y) - z(y). Factor h(j).
-4*j*(5*j - 2)
Let y = 1/442 + 437/2210. Let v(i) be the first derivative of 8 - 1/5*i**3 + 1/25*i**5 + 0*i + y*i**2 + 0*i**4. What is w in v(w) = 0?
-2, 0, 1
Let i(g) be the first derivative of -5*g**4/24 - 19*g**3/18 - 23*g**2/12 - 3*g/2 + 111. Suppose i(f) = 0. Calculate f.
-9/5, -1
Let y(m) be the second derivative of 1/84*m**4 + 0 + 15*m - 5/42*m**3 + 2/7*m**2. Suppose y(a) = 0. Calculate a.
1, 4
Let y(t) = t**3 - 4*t**2 + 2*t - 3. Let a be y(4). Determine k, given that -4*k - 4*k**3 - a*k**3 + 18*k**3 - 5*k**3 = 0.
-1, 0, 1
Let b(v) be the second derivative of -v**6/360 - v**5/24 + v**4/4 - 11*v**3/3 - 28*v. Let q(d) be the second derivative of b(d). Find w, given that q(w) = 0.
-6, 1
Factor 98/3 + 34/9*u**2 + 182/9*u + 2/9*u**3.
2*(u + 3)*(u + 7)**2/9
Let p = 11 + -6. Let j = -7 + 9. Factor j - g**p - 4*g**2 + 2*g**4 - 3*g**3 - g**3 - g + 6*g**3.
-(g - 2)*(g - 1)**2*(g + 1)**2
Let v(q) be the first derivative of 2*q**5/35 - 2*q**3/7 + 2*q**2/7 + 23. Solve v(y) = 0 for y.
-2, 0, 1
Let o(m) be the first derivative of 424*m**3/9 + 38*m**2 + 8*m/3 + 291. Determine i so that o(i) = 0.
-1/2, -2/53
Let y be 21/(-18)*(-15)/2625. Let w(s) be the third derivative of -2/15*s**3 - y*s**5 - 8*s**2 + 0 + 7/120*s**4 + 0*s - 1/600*s**6. Suppose w(f) = 0. What is f?
-4, 1
Let n(b) be the first derivative of b**6/180 - 2*b**3/3 - 10. Let u(s) be the third derivative of n(s). Factor u(y).
2*y**2
Suppose 5*z = s - 1 + 11, -5 = -s. Let k(p) be the first derivative of -5*p**2 + 3 + 7 + p**5 - 2*p**3 + 5 - z*p**3. Factor k(g).
5*g*(g - 2)*(g + 1)**2
Let u = -23/104 + 427/520. Suppose -3/5*k**5 - 3/5*k - 3/5 + 6/5*k**2 + 6/5*k**3 - u*k**4 = 0. Calculate k.
-1, 1
Factor -120 + 5/4*w**2 + 25/2*w.
5*(w - 6)*(w + 16)/4
Let m = -125781/55 + 2287. Let a(u) be the first derivative of 1/22*u**4 + 0*u + 0*u**3 - m*u**5 + 1/33*u**6 + 0*u**2 - 1. Factor a(v).
2*v**3*(v - 1)**2/11
Let k(t) be the first derivative of 5*t**6/2 + 9*t**5 + 10*t**4/3 + 422. Factor k(x).
5*x**3*(3*x + 1)*(3*x + 8)/3
Find k such that -48*k - k**2 + 6*k**2 + 144 - 3*k**2 + 2*k**2 = 0.
6
Let k(z) = -3*z**2 - 31*z + 22. Let v be k(-11). Let h(j) be the second derivative of 1/8*j**3 + 0*j**4 - 1/4*j**2 + 5*j + v - 1/80*j**5. Factor h(t).
-(t - 1)**2*(t + 2)/4
Let l(k) be the first derivative of 1/10*k**4 + 8/15*k**3 - 3/5*k**2 - 13 - 36/5*k. Let l(d) = 0. What is d?
-3, 2
Suppose -9*u - 1160 = u. Let b = u - -350/3. Factor 4/3*c + 2/3*c**2 + b.
2*(c + 1)**2/3
Let x(l) = 20*l**2 - 120*l + 1800. Let v(t) = -9*t**2 + 60*t - 900. Let i(c) = -9*v(c) - 4*x(c). Factor i(n).
(n - 30)**2
Factor 10*w**2 + w**3 + 11151*w - 11171*w + 4*w**3 - 40.
5*(w - 2)*(w + 2)**2
Let g(f) be the third derivative of 0*f + 2/175*f**7 + 0 + 1/100*f**6 + 11/20*f**4 + 18*f**2 - 3/5*f**3 - 11/50*f**5. Let g(b) = 0. Calculate b.
-3, 1/2, 1
Let a(h) = 8*h**2 + 14*h + 3. Suppose -22 = -5*x - 2*k, -k = 4*x - 23 + 6. Let w(m) = 4*m**2 + 7*m + 2. Let i(g) = x*a(g) - 7*w(g). Factor i(u).
(u + 2)*(4*u - 1)
Let f(i) be the second derivative of i**4/3 + 22*i**3 + 124*i**2 + 7*i - 2. Let f(t) = 0. Calculate t.
-31, -2
Factor -15*c**2 - 2*c**4 - 30*c**3 - 124*c - 3*c**4 + 108*c + 66*c.
-5*c*(c - 1)*(c + 2)*(c + 5)
Let s(g) = g**3 - 12*g - 2. Let c be s(0). Let a be -2*c/17*(-28)/(-56). Find d, given that -2/17 - a*d**2 + 4/17*d = 0.
1
Let k(o) be the first derivative of 5*o**6/6 + 19*o**5/5 + 13*o**4/2 + 14*o**3/3 + o**2/2 - o - 52. Solve k(u) = 0.
-1, 1/5
Suppose -35 = -5*f - 10. Let -7*c - f*c**2 + 0 + 20 - 8*c = 0. Calculate c.
-4, 1
Let l(a) be the third derivative of -a**6/240 + a**5/20 + 7*a**4/48 - 35*a**2. Factor l(g).
-g*(g - 7)*(g + 1)/2
What is q in 1213*q**4 + 6*q**3 - 2420*q**4 + 1208*q**4 = 0?
-6, 0
Let h(r) be the third derivative of r**7/126 - r**6/36 - r**5/12 + 86*r**2. Factor h(d).
5*d**2*(d - 3)*(d + 1)/3
Let m(r) be the second derivative of r**4/18 + 17*r**3/27 - 2*r**2/3 - 453*r. Factor m(s).
2*(s + 6)*(3*s - 1)/9
Let t be ((-22701)/(-378))/(2/8). Let r = -240 + t. Factor -r*w**4 + 8/3*w - 8/9 - 26/9*w**2 + 4/3*w**3.
-2*(w - 2)**2*(w - 1)**2/9
Let t(q) = -q**3 + 8*q**2 + 9*q + 4. Let v be t(9). Let r be 96/54 + v/18. Determine c, given that -5*c**2 + 3 + 0*c**r + 3*c**4 - c**2 = 0.
-1, 1
Let b(y) be the first derivative of -y**4/20 + 38*y**3/3 - 1805*y**2/2 - 198. Let b(i) = 0. What is i?
0, 95
Let s(b) = 45*b**3 - 7075*b**2 + 273780*b. Let t(x) = 5*x**3 - 786*x**2 + 30420*x. Let a(y) = -6*s(y) + 55*t(y). Factor a(r).
5*r*(r - 78)**2
Factor -119*m + 15*m**2 + 13*m**4 + m**4 - 31*m**3 + 126*m - 6 + 1.
(m - 1)**2*(2*m + 1)*(7*m - 5)
Let y = -56 - -59. Suppose y = -8*s + 19. Factor 1/4*i**4 + 0*i + 1/4 - 1/2*i**s + 0*i**3.
(i - 1)**2*(i + 1)**2/4
Suppose 4*i - 2*p = -0*i + 58, -2*p + 20 = 2*i. Factor 44*d + 1 + 0*d - i + 21*d**2 - 5*d**2.
4*(d + 3)*(4*d - 1)
Let w(x) = -15*x**2 + x. Let u be w(-1). Let g be 10/u*(-6)/15. Find o, given that -1/4*o**2 - g*o + 0 = 0.
-1, 0
Suppose 2*s - 46 = -3*z + s, 0 = 5*z + 3*s - 74. Suppose 7*x - z = 3*x. Factor 4*l**5 - 3*l**5 + 3*l**x + 2*l**5 - 6*l**3.
3*l**3*(l - 1)*(l + 2)
Let b(s) = 6*s - 1. Let g be b(1). Factor 49*i + i**g - 23*i - 25*i - 2*i**3.
i*(i - 1)**2*(i + 1)**2
Let b(h) be the first derivative of -h**4/2 - 2*h**3/3 + 12*h**2 - 233. Suppose b(a) = 0. Calculate a.
-4, 0, 3
Determine n so that 4/13*n**3 - 2/13*n**4 + 64/13 - 80/13*n + 24/13*n**2 = 0.
-4, 2
Find w, given that 3/7*w**2 - 24/7*w + 4 + 1/7*w**3 = 0.
-7, 2
Let w = 20 - 16. Factor -5*d**4 + 3*d**3 + w*d**4 + 7*d**3 - 4*d**4.
-5*d**3*(d - 2)
Let n(r) be the second derivative of -r**4/2 - 29*r**3/3 - 40*r**2 + 23*r - 9. Factor n(y).
-2*(y + 8)*(3*y + 5)
Let d(z) = -z**3 + 3*z**2 + 8*z + 10. Let a be d(5). Factor -1/5*m + 1/5*m**2 + a.
m*(m - 1)/5
Let f(b) = -2*b**2 + 7*b + 9. Suppose 0*a + 4*y - 8 = -4*a, -2*y = -2*a. Let z(m) = -m - 1. Let l(j) = a*f(j) + 5*z(j). Let l(n) = 0. Calculate n.
-1, 2
Let n = 7418 - 22253/3. Determine z, given that -2/3 + 1/3*z + n*z**2 = 0.
-2, 1
Factor 15*t + 80*t**3 - 16*t**2 + 77*t**3 + 6*t**2 + 76*t**3 - 238*t**3.
-5*t*(t - 1)*(t + 3)
Let 26/19*z**2 + 2/19*z**3 - 58/19*z + 30/19 = 0. Calculate z.
-15, 1
Let v be (-777)/4455 + 22/121. Let i(f) be the third derivative of -v*f**5 + 1/36*f**4 + 0*f + 3*f**2 + 0 - 1/27*f**3. Factor i(n).
-2*(n - 1)*(2*n - 1)/9
Let m(t) be the third derivative of -t**7/42 - t**6/6 + 7*t**5/4 + 387*t**2. Suppose m(j) = 0. Calculate j.
-7, 0, 3
Let h = 4215/6524 - 3/932. Let c = h - 11/28. Let -c*a**3 + 0 + 0*a - 1/4*a**2 = 0. What is a?
-1, 0
Suppose -5*h + 17 - 7 = 0. Factor 0*a + 4/5*a**3 + 0 + 8/5*a**h.
4*a**2*(a + 2)/5
Let f be (-21 + 0)/((-546)/(-28)). Let h = 124/91 + f. Suppose -8/7*k - 6/7*k**2 - h = 0. Calculate k.
-1, -1/3
Let b(d) = 2*d - 2. Let o be 35/(-14)*(-6)/5. Let y be b(o). Suppose 4*f**3 - 6*f - 2*f**3 + 4*f**3 - y - 4*f**3 = 0. What is f?
-1, 2
Let m = -9 - -11. Suppose 0 = 3*s - 2*t + 8, -49*t + 45*t = 3*s - 16. Find j, given that 1 - 1/4*j**m + s*j = 0.
-2, 2
Factor 2*z**2 + 566 - 10*z + z**2 - 602 - 5*z + 3*z.
3*(z - 6)*(z + 2)
Let t 