. Let r be b(16). Factor 5*k**2 + r*k - 77*k + 45 + 14*k.
5*(k - 3)**2
Let s(l) be the first derivative of -l**4/5 - 8*l**3/15 + 15. Factor s(r).
-4*r**2*(r + 2)/5
Let z(b) be the third derivative of -b**6/60 - 11*b**5/60 - b**4/2 + 11*b**3/2 - 26*b**2. Let h(q) be the first derivative of z(q). Factor h(n).
-2*(n + 3)*(3*n + 2)
Suppose -13 + 58 = 9*b. Let h be 11/14 - ((-15)/(-6))/b. Let -1/7*f**3 - 5/7*f - h - 4/7*f**2 = 0. What is f?
-2, -1
Solve 6/11*s**4 + 0 - 280/11*s + 488/11*s**2 - 106/11*s**3 = 0.
0, 2/3, 7, 10
Let 3/2 - 7/4*v + 1/4*v**3 + 0*v**2 = 0. What is v?
-3, 1, 2
Let d = 11 + -29. Let m = d + 23. Determine z, given that 4 + 5 - m*z**2 + z**4 - 5 = 0.
-2, -1, 1, 2
Let s(t) = 239*t**2 - 88*t + 5. Let o(a) be the second derivative of 119*a**4/6 - 44*a**3/3 + 2*a**2 - 21*a. Let d(q) = -3*o(q) + 4*s(q). Factor d(g).
2*(11*g - 2)**2
Factor 96 + 1/6*g**2 + 8*g.
(g + 24)**2/6
Let d(z) be the first derivative of 2*z**5/25 + 7*z**4/10 + 22*z**3/15 + z**2 - 149. Factor d(g).
2*g*(g + 1)**2*(g + 5)/5
Suppose 5 = -6*v + 23. Determine w, given that -41*w**3 - 130*w**v + 4*w**3 + 81*w**5 - 100*w**2 - 12*w + 198*w**4 = 0.
-3, -2/9, 0, 1
Let a(i) be the second derivative of -i**4/60 - 11*i**3/15 - 21*i**2/10 - 238*i. Factor a(w).
-(w + 1)*(w + 21)/5
Let n be (-10)/(-6) + (-840)/(-9). Suppose -f + 81*f**4 + 14*f**2 - 4*f**3 + 5*f - n*f**4 = 0. What is f?
-1, -2/7, 0, 1
Suppose -5*z = -z + 3*t - 19, 3*z = -t + 13. Determine d, given that 41*d**3 + 38*d**3 + 5*d**z - 74*d**3 = 0.
-1, 0
Let s(x) = 3*x**2 + 10*x - 18. Let g be s(4). Suppose 13*z = g - 5. What is j in 0*j + 1/6*j**2 + 1/2*j**z + 1/6*j**3 + 0 - 5/6*j**4 = 0?
-1/3, 0, 1
Let f(j) be the second derivative of -j**4/4 - 79*j**3 - 18723*j**2/2 + 2*j + 24. Solve f(m) = 0 for m.
-79
Let a(y) be the first derivative of 19 + 0*y + 0*y**2 + 1/12*y**4 + 1/9*y**3. Suppose a(n) = 0. What is n?
-1, 0
Let y(d) = 16*d**2 - 3*d - 11. Let i be y(-2). Let a = i - 55. Find g, given that -3/5*g**a + g**2 - 2/5 + g**3 - g = 0.
-1, -1/3, 1, 2
Factor 1/5*y**2 + 1/5*y - 12/5.
(y - 3)*(y + 4)/5
Let g(d) be the second derivative of 4*d**5/25 + 13*d**4/15 + 2*d**3/5 + 29*d. Determine y, given that g(y) = 0.
-3, -1/4, 0
Let f(l) be the first derivative of -5*l**3/3 + 65*l**2 + 135*l - 227. Suppose f(h) = 0. Calculate h.
-1, 27
Determine r, given that -2/3*r**2 + 1/6*r**4 - 1/3*r**3 + 1/3*r + 1/2 = 0.
-1, 1, 3
Suppose -3*x + 0*x + 15 = 0. Suppose -10 = -x*p - 0. Factor -2 + 31*l**2 - 7*l**p - 32*l**3 + 0.
-2*(2*l - 1)**2*(4*l + 1)
Find o, given that 16/9 + 4/9*o - 2/9*o**2 = 0.
-2, 4
Suppose 302 - 120 = 5*b - i, b = 5*i + 46. Suppose j = 5*j - b. Determine y so that -48*y**2 - 36*y - 18*y**3 + j*y**2 - y**4 - 3*y**4 + y**4 - 12 = 0.
-2, -1
Find o such that -2*o**2 - 1/2 + 3/4*o**3 + 7/4*o = 0.
2/3, 1
Let d(x) = -x**2 - 7*x + 22. Let n be d(-9). Find f, given that 5*f**4 - 32 + 0*f**4 + 21*f + 38 + 22*f**n - 33*f**2 - 21*f**3 = 0.
-1, -2/9, 1
Let m(z) be the second derivative of 0*z**2 + 0 - 1/40*z**6 - 1/8*z**4 + 2*z + 1/10*z**5 - 2/3*z**3. Let w(k) be the second derivative of m(k). Factor w(i).
-3*(i - 1)*(3*i - 1)
Suppose -5/6*r + 1/6*r**2 - 1 = 0. Calculate r.
-1, 6
Let f = -30357 - -30360. Factor -4*g**2 + 4/7*g**4 - 24/7*g + 0*g**f + 0.
4*g*(g - 3)*(g + 1)*(g + 2)/7
Suppose 22 = 17*v - 12. Let j(k) be the second derivative of 3/2*k**v + 3/10*k**5 - 1/2*k**3 - 1/2*k**4 - 1/14*k**7 + 0 + 2*k + 1/10*k**6. Factor j(d).
-3*(d - 1)**3*(d + 1)**2
Let h be 8/24*-19 - -9. Determine i, given that 0 - 2/3*i**5 - 2*i**3 + 8/3*i**2 - h*i**4 + 8/3*i = 0.
-2, -1, 0, 1
Let g(m) be the second derivative of -m**4/21 - 2*m**3/3 + 16*m**2/7 + m + 54. Factor g(q).
-4*(q - 1)*(q + 8)/7
Factor 8/9 + 2/3*c - 2/9*c**2.
-2*(c - 4)*(c + 1)/9
Let r = 58 + -53. Solve 48*j - 72*j**4 + 73*j**2 - 16*j**5 + j**5 - 28*j**3 - 32 - r*j**5 + 31*j**2 = 0 for j.
-2, -1, 2/5, 1
Let k = -119 - -122. Solve -6*s - 28*s**4 - 6*s**2 - 5*s**4 - 45*s**k - 9*s**5 - 21*s**2 = 0.
-1, -2/3, 0
Let s(h) = h**3 - 18*h**2 + 292. Let g be s(17). Factor 0*r - 2/7*r**g + 0 + 6/7*r**2.
-2*r**2*(r - 3)/7
Let u = -252473473/489 + 516306. Let f = u + 2/489. Solve 1/6 + f*y + 1/6*y**2 = 0 for y.
-1
Let h(b) = -14*b**4 - 242*b**3 + 1143*b**2 - 977*b - 323. Let p(m) = -2*m**4 - m**3 - m**2 - m + 1. Let z(w) = h(w) + 3*p(w). Solve z(v) = 0.
-16, -1/4, 2
Let a(o) be the third derivative of o**11/277200 - o**10/252000 - o**9/100800 - o**5/6 + 6*o**2. Let x(d) be the third derivative of a(d). Solve x(j) = 0 for j.
-1/2, 0, 1
Let r(i) be the first derivative of i**4/4 - i**3 - 3*i**2 + 8*i - 58. Find m such that r(m) = 0.
-2, 1, 4
Let a = 4 + -3. Let y(m) = -m**3 - 2*m - 2. Let g(f) be the second derivative of -f**3/6 + 18*f. Let c(t) = a*y(t) - 5*g(t). Find b such that c(b) = 0.
-2, 1
Let t(c) be the third derivative of c**7/735 + c**6/140 - 16*c**5/105 + 5*c**4/7 - 32*c**3/21 - 267*c**2. What is z in t(z) = 0?
-8, 1, 2
Let t = 37/276 + 3/92. Let s(j) be the first derivative of -3/2*j**4 - 1 + 4/3*j**3 + 0*j - 1/2*j**2 + 4/5*j**5 - t*j**6. Suppose s(z) = 0. Calculate z.
0, 1
Suppose -80 = 11*x - 3*x. Let w = x - -14. Factor -12*i**w + 2*i**2 - 12*i + 18*i**3 - 14*i**4 + 8*i + 10*i**5.
2*i*(i - 1)**3*(5*i + 2)
Let h(j) be the first derivative of 36/5*j**2 + 8/5*j**3 + 0*j - 16 + 1/10*j**4. Factor h(s).
2*s*(s + 6)**2/5
Let y(v) be the third derivative of v**5/20 - 17*v**4 + 2312*v**3 - 7*v**2 - 6. Factor y(q).
3*(q - 68)**2
Let v(a) be the first derivative of 25*a**6/6 - 8*a**5 - 45*a**4/4 + 40*a**3/3 + 10*a**2 + 501. Let v(q) = 0. Calculate q.
-1, -2/5, 0, 1, 2
Let u(i) be the second derivative of i**6/540 - i**5/30 + 5*i**4/36 + 3*i**3 - 16*i. Let b(q) be the second derivative of u(q). Suppose b(a) = 0. What is a?
1, 5
Let k = 2 - -1. Let j be (34/(-14) + (-132)/(-308))*9/(-81). Let 0 + 0*y - j*y**2 + 2/9*y**k = 0. What is y?
0, 1
Let u(w) be the third derivative of 0*w**3 + 121/300*w**4 - w**2 - 11/375*w**5 + 0 + 0*w + 1/1500*w**6. Solve u(g) = 0 for g.
0, 11
Let o(p) = -3*p**3 - 6*p**2 - 4*p. Let c(i) = 7*i. Let u(v) = -v. Let h(a) = -c(a) - 6*u(a). Let q(k) = h(k) - o(k). Find s, given that q(s) = 0.
-1, 0
Suppose 20 = 5*c - c, 5*j - 5 = -2*c. Let o be (0/7)/(j - -2). Factor 3 + o - 3*h**4 - 6*h**3 + 2*h + 4*h.
-3*(h - 1)*(h + 1)**3
Let v(f) be the third derivative of -f**5/105 - 10*f**4/3 - 1400*f**3/3 + 3*f**2 - 36. Factor v(w).
-4*(w + 70)**2/7
Let -2/13*q**4 - 6/13*q**3 + 0*q - 4/13*q**2 + 0 = 0. What is q?
-2, -1, 0
Let m(o) be the first derivative of o**4/8 - 11*o**3/6 - 3*o**2 + 157. Factor m(l).
l*(l - 12)*(l + 1)/2
Let g(k) be the second derivative of -k**9/120960 - k**8/26880 - k**7/20160 - k**4/12 + 3*k. Let u(i) be the third derivative of g(i). Solve u(o) = 0.
-1, 0
Let b(r) be the second derivative of 7*r**6/180 + r**5/10 - r**4/3 - 4*r**3/9 - 7*r**2/2 - 12*r. Let s(a) be the first derivative of b(a). Factor s(g).
2*(g - 1)*(g + 2)*(7*g + 2)/3
Let q(n) = n**2 + 1. Let z(s) = -5*s**2 + 3*s - 8. Let m(a) = 6*q(a) + z(a). Let g be m(1). Find x such that -2/5*x**g + 1/5*x + 0 + 1/5*x**3 = 0.
0, 1
What is y in 12*y**4 + 3*y**4 + 6*y**4 - 8*y**4 + 11*y**4 - 24*y**2 - 140*y**3 = 0?
-1/6, 0, 6
Let n = 6 + -10. Let j be (n/(-14))/((-15)/(-21)). Find f such that -j*f + 0 + 4/5*f**2 - 2/5*f**3 = 0.
0, 1
Let n(y) be the second derivative of -3*y**5/5 + 26*y**4/3 + 22*y**3/3 - 36*y**2 + 39*y. Solve n(k) = 0 for k.
-1, 2/3, 9
Let u(p) = 8*p**2 - 18*p + 4. Let a(n) = -n**2 + 2*n. Let h(b) = -6*a(b) - u(b). Solve h(l) = 0.
1, 2
Let b = -190 - -577/3. Find n such that -3*n + 2/3 + b*n**2 = 0.
2/7, 1
Suppose 2*p = -5*i + 7, p + 14 = -3*i + 4*i. Let y be 1 - (2 + 12/p). Factor 1/3*a + y*a**2 + 0.
a*(a + 1)/3
Let n be -2 + -2 + 6 + 8. Solve 12*a**2 + 36*a + 27 - n*a**2 + 10*a**2 = 0 for a.
-3/2
Let i(u) = 55*u**3 + 440*u**2 - 55*u - 530. Let v(c) = 5*c**3 + 40*c**2 - 5*c - 48. Let k(s) = -4*i(s) + 45*v(s). Factor k(m).
5*(m - 1)*(m + 1)*(m + 8)
Let i = 56 + -57. Let h(m) = 25*m**3 - 23*m**2 - 3*m - 1. Let w(x) = x**2 + x**3 - x + 2*x**3 + 1 - 2*x**3. Let p(o) = i*w(o) - h(o). Factor p(a).
-2*a*(a - 1)*(13*a + 2)
Let y(f) = -7*f**5 + 7*f**4 - 24*f**3 + 20*f**2 - 2*f. Let h(a) = -13*a**5 + 14*a**4 - 47*a**3 + 40*a**2 - 5*a. Let o(q) = 6*h(q) - 11*y(q). Factor o(c).
-c*(c - 2)**