ind q such that d(q) = 0.
0, 1
Factor -12*h**2 + 0 - 24/5*h**3 + 4/5*h**4 - 32/5*h.
4*h*(h - 8)*(h + 1)**2/5
Let h be (-2)/(-3)*27/1179. Let m = h + 125/393. Determine s, given that 0*s + m*s**2 - s**3 + s**4 + 0 - 1/3*s**5 = 0.
0, 1
Suppose 0 = -3*a + m - 4, -5*a + 131*m - 4 = 130*m. Find l, given that 3/7*l**4 + 0*l**3 + a + 0*l - 3/7*l**5 + 0*l**2 = 0.
0, 1
Suppose 15*z - 54 = -18*z + 12. Factor 12/7*n**z + 16/7 + 24/7*n + 2/7*n**3.
2*(n + 2)**3/7
Let l(q) be the first derivative of -q**4 + 16*q**3/3 + 64*q**2 - 253. Determine p, given that l(p) = 0.
-4, 0, 8
Let v = 125 + -374/3. Let y(t) be the first derivative of 0*t**4 + 3 + 0*t**2 + 0*t + 1/5*t**5 - v*t**3. Let y(s) = 0. What is s?
-1, 0, 1
Let p(u) be the first derivative of 0*u + 12 - 5/4*u**4 - 5/3*u**3 + 0*u**2. Factor p(s).
-5*s**2*(s + 1)
Let y be (6 - 57/9)*18. Let f be 3/y*2*-3. Factor 0*p - 1/3*p**5 + 0*p**2 + 0*p**4 + 0 + 1/3*p**f.
-p**3*(p - 1)*(p + 1)/3
Let m(a) be the first derivative of a**5/20 - a**4/4 + 23*a**2/2 + 38. Let g(s) be the second derivative of m(s). Factor g(c).
3*c*(c - 2)
Let s be (-2 - 352/(-168))/((-1)/(-18)). Find y, given that -6/7 - s*y**3 - 24/7*y**2 - 2/7*y**4 - 20/7*y = 0.
-3, -1
Suppose -3*y + 8*y + 180 = 0. Let g = -36 - y. Factor 1/5*b**4 + 0*b**3 + 0 + 0*b**2 + g*b.
b**4/5
Let i be -2 + -7*(-5)/35. Let o be (-432)/189 + (i - -6 - 1). Factor -o + 4/7*n**2 + 8/7*n.
4*(n - 1)*(n + 3)/7
Let v(t) = t**5 + 3*t**3 + t. Let o = -23 + 26. Let q(c) = 2*c - 4*c**3 + 6*c**5 - c - 8*c**5 - o*c. Let y(x) = -5*q(x) - 8*v(x). Let y(g) = 0. What is g?
-1, 0, 1
Let a(u) = -u**3 + 16*u**2 - 7*u - 3. Let n be a(15). Let h = 469/4 - n. Determine i so that -h*i**2 - 4 - 2*i = 0.
-4
Suppose 0 = -6*l + 3*l - 5*q + 2, -2 = q. Let v(x) be the second derivative of 0 + x**2 + 6*x - 1/36*x**l + 1/18*x**3. Factor v(o).
-(o - 3)*(o + 2)/3
Let j be 36 + 2*1/(-2). Let a = j + -31. Find n such that -n**a - 19*n**5 + 60*n + 56*n**4 - 35*n**2 + 4*n**5 - 53*n**3 + 8*n**3 - 20 = 0.
-1, 2/3, 1, 2
Let l(h) = -6*h**2 - 31*h - 25. Let a(y) = y**2 + 6*y + 5. Suppose -19*o + 66 = -25*o. Let d(w) = o*a(w) - 2*l(w). Let d(j) = 0. What is j?
-1, 5
Let r = 77/249 - -2/83. Let g be (-10)/(-15) + ((-12)/(-18) - 1). Factor -g*l**4 + 0*l - 1/3*l**3 + 0 + r*l**5 + 1/3*l**2.
l**2*(l - 1)**2*(l + 1)/3
Suppose -4*t + 5*l = 17, 0 = -4*t - 4*l + 31 - 3. Factor 0*j + 2/13*j**3 + 2/13*j**t + 0 - 2/13*j**4 - 2/13*j**5.
-2*j**2*(j - 1)*(j + 1)**2/13
Let c(n) be the second derivative of n**7/21 + n**6/3 + 9*n**5/10 + 7*n**4/6 + 2*n**3/3 - 2*n + 8. Let c(b) = 0. What is b?
-2, -1, 0
Let d(r) be the third derivative of 0*r**4 + 0 - 1/1080*r**6 + 0*r - r**2 + 7/6*r**3 - 1/180*r**5. Let g(t) be the first derivative of d(t). Factor g(o).
-o*(o + 2)/3
Let q = 485/7 - 69. Let m be (-2)/5 + (48/(-70))/(-1). Suppose -m*v**5 - q*v**4 + 10/7*v**3 - 8/7*v - 8/7 + 10/7*v**2 = 0. Calculate v.
-2, -1, 1, 2
Let o(a) be the first derivative of 3*a**5/5 - a**4 - 83*a**3/9 - 25*a**2/3 - 8*a/3 + 43. Find k such that o(k) = 0.
-2, -1/3, 4
Factor 0 + 7/3*s**3 + 2*s - 17/3*s**2.
s*(s - 2)*(7*s - 3)/3
Let s(u) = -2*u - 9. Let p be s(-9). Suppose -p = 4*m - 13. Suppose -2*i**2 + m - 68*i + 64*i - 3 = 0. What is i?
-1
Let n be (4 + -1)*(-18)/27*-2. Suppose 0 = n*f + 3*f. Let -2/5*w**2 + 0*w + f = 0. What is w?
0
Suppose -21*w + 3*w + 4298*w**2 - 21 - 4295*w**2 = 0. Calculate w.
-1, 7
Let a = 261 - 261. Let v(d) be the second derivative of -4*d + a + 10/3*d**3 - 2*d**2 - 10/3*d**4 + 2*d**5 + 2/21*d**7 - 2/3*d**6. Factor v(x).
4*(x - 1)**5
Let y(q) = 2*q**2 + 122*q - 3441. Let u be y(-82). Factor 8/9*g + 0*g**2 + 2/9*g**4 - 2/3*g**u + 0.
2*g*(g - 2)**2*(g + 1)/9
Let h(a) be the second derivative of -a - 1/6*a**6 + 0 - 65/12*a**4 + 10*a**3 - 10*a**2 + 3/2*a**5. Let h(y) = 0. What is y?
1, 2
Let r(q) be the second derivative of -q**7/560 + q**6/240 + 10*q**3/3 + 36*q. Let s(k) be the second derivative of r(k). Determine n, given that s(n) = 0.
0, 1
Let o(j) be the second derivative of -5/7*j**3 - 2/7*j**4 - 4/7*j**2 + 2/35*j**5 + 5*j + 0. Factor o(m).
2*(m - 4)*(2*m + 1)**2/7
Suppose -3 = -3*s + 2*s. Suppose -s*r + 16 = 2*i, -23 = -3*r - 5*i + 8. Find q, given that q**r + 5/9*q**3 + 2/9 + 1/9*q**4 + 7/9*q = 0.
-2, -1
Let i(j) be the third derivative of j**5/390 + j**4/12 - 35*j**2. Factor i(k).
2*k*(k + 13)/13
Let t = -9 - -11. Suppose -2*o + 22 = 4*d + t, 2*d - 18 = -3*o. Solve -4 + 2*b**4 + 6*b**2 + 6*b**d + 1 + 3 + 2*b = 0 for b.
-1, 0
Let b(t) = 2*t**3 - t + 1. Let p be b(1). Suppose p*v + 3*v = 15. Factor 0 + 1/5*g**4 + 0*g**2 + 0*g - 1/5*g**v.
g**3*(g - 1)/5
Factor -2/5*g**3 + 30 + 2*g - 14/5*g**2.
-2*(g - 3)*(g + 5)**2/5
Let g be 1/3*(-2063)/(-3). Let o = g + -229. Determine r so that -o*r + 2/9*r**2 - 2/9 + 2/9*r**3 = 0.
-1, 1
Let w(y) = 9*y**2 - 88*y - 18. Let f be w(10). Factor 0 - 5/2*l**2 - l - 1/2*l**4 - f*l**3.
-l*(l + 1)**2*(l + 2)/2
Suppose 8*n - 79 = 209. Let -53*t + 5*t**3 - n*t**2 + 61*t - 192 - 2*t**3 + 136*t = 0. Calculate t.
4
Let n be 4 + -8*(-34)/(-2). Let s = n + 319. Let -4 - 189*r**2 - 2*r - 7*r + 3*r + s*r**2 = 0. What is r?
-2, -1
Let w(l) be the third derivative of l**7/17640 + l**6/5040 - l**5/140 + 7*l**4/6 - 20*l**2. Let n(t) be the second derivative of w(t). Solve n(q) = 0 for q.
-3, 2
Let t(x) = -3*x**3 + 9*x**2 + 12*x - 9. Let r(a) = a**3 - 2*a**2 - 3*a + 2. Let u(q) = -9*r(q) - 2*t(q). Factor u(m).
-3*m*(m - 1)*(m + 1)
Let k(b) be the first derivative of b**9/3024 - b**8/420 + b**7/420 + b**6/90 - b**5/40 - 2*b**3/3 + 9. Let r(x) be the third derivative of k(x). Factor r(u).
u*(u - 3)*(u - 1)**2*(u + 1)
Factor -338*u + 150 - 2*u**2 + 189*u + 169*u.
-2*(u - 15)*(u + 5)
What is l in -337006/3*l**2 - 572872/9*l - 98/9*l**4 - 19852/9*l**3 - 81608/9 = 0?
-101, -2/7
Let c = 44231/5898 - -2/2949. Solve -5/2*r + 5/2*r**4 + 5/2*r**3 + 5 - c*r**2 = 0.
-2, -1, 1
Let r = 7763434/6805 + -58/1361. Let y = 1146 - r. Solve -8/5*w**4 + 14/5*w + y*w**3 - 2/5 - 6*w**2 = 0.
1/4, 1
Let d = 94368/7 + -13481. Find u such that 6/7 + 1/7*u - d*u**2 = 0.
-2, 3
Let x(n) be the second derivative of 14*n + 5/8*n**5 - 1/12*n**6 + 0*n**2 + 5/4*n**3 + 0 - 35/24*n**4. Solve x(k) = 0 for k.
0, 1, 3
Let o(l) be the second derivative of 0 - 1/12*l**4 + 1/80*l**5 + 15*l + 1/2*l**2 - 1/24*l**3. Find p, given that o(p) = 0.
-1, 1, 4
Let g(a) be the second derivative of -a**7/2520 + a**5/120 - 7*a**4/12 + 3*a. Let z(y) be the third derivative of g(y). Let z(l) = 0. What is l?
-1, 1
Let j(z) = -6*z**5 + 15*z**4 - 24*z**3 - 3*z**2 + 21*z - 12. Let s(m) = -m**5 - m**3 - m. Let f(k) = -j(k) + 3*s(k). What is a in f(a) = 0?
-1, 1, 2
Let s(h) = 17*h - 133. Let b be s(8). Let u(m) be the first derivative of 4 - 1/12*m**b - 1/4*m - 1/4*m**2. Factor u(i).
-(i + 1)**2/4
Suppose -50 = -9*z + 4*z. Determine u, given that -z*u**4 - 2*u**4 + 5*u**3 - 5*u**3 - 4*u**3 = 0.
-1/3, 0
Factor -5/4*n**4 + 4*n**2 - 1/8*n**5 + 9/4 + 47/8*n - 3/4*n**3.
-(n - 2)*(n + 1)**3*(n + 9)/8
Let v(t) = -t**2 - 2. Let w(s) = -3*s**2 - 38*s - 47. Let u(f) = 4*v(f) - w(f). Find x such that u(x) = 0.
-1, 39
Let n(u) = -7*u**2 + 4*u - 7. Let h(q) = 12*q**2 - 8*q + 13. Let v(r) = 3*h(r) + 5*n(r). Solve v(c) = 0 for c.
2
Suppose 0 = -l + 11 + 10. Suppose 14*s - 21*s + l = 0. What is v in 0 + 0*v**2 - 1/4*v**4 + 0*v - 1/4*v**s = 0?
-1, 0
Suppose -u + 4*q = -8, -4*u - 6 = -u + 3*q. Let b be (u/(6/(-3)))/(-1). Factor 0*g**3 + b*g**2 - 1/2*g**4 + 0 + 0*g.
-g**4/2
Let v(n) be the first derivative of -2/21*n**3 + 0*n + 0*n**2 - 4. Factor v(u).
-2*u**2/7
Let 3*t**3 - 11/3*t**4 - 8/3 + 46/3*t**2 - 12*t = 0. Calculate t.
-2, -2/11, 1, 2
Determine x so that 0 - 1/5*x + 1/10*x**3 + 1/10*x**2 = 0.
-2, 0, 1
Let f = -49 + 54. Factor 58*s**2 + 45*s + 18*s**3 + 3 + 3*s + f.
2*(s + 1)*(s + 2)*(9*s + 2)
Let s = 83/174 - -2/87. Factor -1/2*p**3 - s - 3/2*p**2 - 3/2*p.
-(p + 1)**3/2
Let y(k) be the first derivative of 0*k**2 + 0*k - 7/26*k**4 - 4/39*k**3 + 1/13*k**6 - 4/65*k**5 + 15. What is n in y(n) = 0?
-1, -1/3, 0, 2
Suppose -6*w = w - 1148. Let p = w - 491/3. Suppose -2*u + 3 + p*u**2 = 0. What is u?
3
Let o(v) be the second derivative of -v**6/24 - v**5/6 - 5*v**4/24 - 7*v**2/2 + 5*v. Let i(n) be the first derivative of o(n). Factor i(g).
-5*g*(g + 1)**2
Suppose -199*z**3 - 3 + 110*z**3 +