or r(d).
-(d - 18)*(d + 1)
Let r(w) = -w**2 - 36*w + 39. Let u(d) = 91 + 15*d**2 - 326 - 310 + 505*d. Let j = 741 + -656. Let h(t) = j*r(t) + 6*u(t). Factor h(a).
5*(a - 3)**2
Let l be (0/(3 - -5))/((-1)/(-1)). Let x(z) be the second derivative of -7/72*z**4 + 1/180*z**6 + 0*z**2 + 0*z**5 + 7*z + 1/6*z**3 + l. Factor x(d).
d*(d - 2)*(d - 1)*(d + 3)/6
Let x(a) be the third derivative of -a**7/420 - a**6/12 - 21*a**5/20 - 27*a**4/4 + 34*a**3 + 2*a**2 - 28. Let u(z) be the first derivative of x(z). Factor u(b).
-2*(b + 3)**2*(b + 9)
Solve -348*y**2 + 693*y**2 + 306*y + 624 - 348*y**2 = 0 for y.
-2, 104
Suppose 160 = 31*a - 23*a. Let r be 26/a - (-2)/(-4). Factor 2/5*f**3 + 0 - 72/5*f**4 + 0*f + r*f**2.
-2*f**2*(4*f - 1)*(9*f + 2)/5
Let p(o) be the first derivative of 0*o**3 - 20*o + 1/40*o**5 + 0*o**2 - 1/12*o**4 + 42. Let l(d) be the first derivative of p(d). Solve l(f) = 0 for f.
0, 2
Let z(g) = -2*g**2 + 149*g - 68. Let f be z(74). Let b be 208/(-156)*f/(-4). What is h in -4/5*h**4 - 48*h**b + 52/5*h**3 - 256/5 + 448/5*h = 0?
1, 4
Let m(z) = -4*z**3 - 199*z**2 - 861*z - 391. Let w(b) = b**3 + 52*b**2 + 215*b + 98. Let h(s) = -6*m(s) - 25*w(s). Solve h(g) = 0 for g.
-104, -1
Let h(v) be the second derivative of -v**6/180 + v**5/20 + 3*v**4/2 - 2*v**3/3 + 10*v + 2. Let j(z) be the second derivative of h(z). Solve j(f) = 0 for f.
-3, 6
Let w(u) = -10*u - 47. Let h be w(-5). Determine n so that -75*n + 1385*n**3 - 693*n**3 + 36 - 695*n**h + 42*n**2 = 0.
1, 12
Let s(n) = -32*n**2 - 2*n - 2. Let u be s(-1). Let g = u + 37. Factor -2*z**3 + 4*z**2 - 3*z**3 + 6*z**3 - g*z**2.
z**2*(z - 1)
Factor 3482*u**3 - 320*u - 1694*u**3 - 1708*u**3 + 20*u**2 - 5*u**4.
-5*u*(u - 16)*(u - 2)*(u + 2)
Let h(g) be the second derivative of 0*g**2 - 12 + g - 1/30*g**4 + 8/5*g**3. Factor h(k).
-2*k*(k - 24)/5
Solve -j**5 - 71571 + 4*j**4 + 200*j**3 + j**5 - 196*j + 71767 - 4*j**5 - 203*j**2 + 3*j**2 = 0 for j.
-7, -1, 1, 7
Let l be (-6)/4*-2 + 1. Determine y so that 39*y**2 - 26*y + 12 - 14*y**2 - l*y**4 + 6*y**3 - 13*y**2 = 0.
-2, 1, 3/2
Suppose 18*h = 9*h + 27. Suppose 0 = 7*q - 8*q + h. Determine g, given that 46*g + 6 + 27*g**3 - 9 + 62*g**2 - 3*g**q + 11 = 0.
-4/3, -1, -1/4
Let h(b) be the second derivative of -5*b + 0*b**2 - 5/12*b**4 - 14 - 1/6*b**6 + 0*b**3 + 1/2*b**5. Find m such that h(m) = 0.
0, 1
Let x(u) be the first derivative of 102 + 8*u**2 - 2/3*u**3 - 32*u. Factor x(q).
-2*(q - 4)**2
Let y(h) be the first derivative of h**3/9 - 52*h**2 + 8112*h + 873. Factor y(x).
(x - 156)**2/3
Let c(g) be the first derivative of -g**6/420 + g**5/210 + g**4/21 - 4*g**3/21 + 37*g**2/2 + 84. Let v(o) be the second derivative of c(o). Factor v(s).
-2*(s - 2)*(s - 1)*(s + 2)/7
Let n(l) be the second derivative of l**6/900 - l**5/30 + 7*l**4/20 + l**3/3 + 19*l**2 + 259*l. Let m(t) be the second derivative of n(t). Factor m(y).
2*(y - 7)*(y - 3)/5
Let a(q) be the first derivative of 2*q**3/33 - 60*q**2/11 - 339. Solve a(y) = 0.
0, 60
Let q(s) = 4*s**4 + s**3 + 2*s - 1. Let g(r) = 25*r**4 - r**3 - 33*r**2 + 367*r - 706. Let y(x) = g(x) - 6*q(x). Factor y(n).
(n - 5)**2*(n - 4)*(n + 7)
Let u(k) be the first derivative of k**6/33 + 36*k**5/55 + 15*k**4/22 - 68*k**3/33 - 896. Solve u(f) = 0.
-17, -2, 0, 1
Suppose 0 = 2*b - 17 + 5 + 8. Determine f, given that 2/5*f**5 + 0 - 54/5*f**b - 18/5*f**4 + 0*f + 54/5*f**3 = 0.
0, 3
Solve -96 - 542*g - 146*g + 125*g**5 + 845*g**4 - 1326*g**2 - 840*g**3 - 195*g**4 - 226*g**2 = 0 for g.
-6, -2/5, 2
Let r(f) be the third derivative of f**5/3 - 19*f**4/3 - 80*f**3 - 303*f**2 + f. Find v such that r(v) = 0.
-12/5, 10
Let n(d) be the second derivative of d**5/15 + 61*d**4/54 - 2*d**3 + 11*d**2/9 + 4*d + 22. Let n(l) = 0. What is l?
-11, 1/3, 1/2
Let d be 17/12 - ((-255)/(-20))/17. Let q be (2/4)/(39/533). Suppose 37/6*l**2 + d - 7/2*l**5 - q*l**4 - 1/2*l**3 + 4*l = 0. Calculate l.
-1, -2/3, -2/7, 1
Suppose -100*l + 849 = 72*l - 183. Let u(k) be the first derivative of 36*k - 17 - l*k**2 + 1/3*k**3. Factor u(q).
(q - 6)**2
Let a be 3/2*(1020/18)/17. Let j(s) be the second derivative of 1/150*s**6 + 1/30*s**4 + 0*s**2 + 0*s**3 + 0 + 3/100*s**a + 8*s. Find f, given that j(f) = 0.
-2, -1, 0
Suppose -2*l = -5*d - 12 + 14, 0 = -l + 2*d. Factor -3*v**l - 2*v**3 - 29*v**2 - 17*v + v**3 - 7*v - 22*v**2 - 29*v**3.
-3*v*(v + 1)**2*(v + 8)
Let s be ((-24)/(-30))/(474/(-30)). Let v = 186/553 + s. Factor -v*f**2 - 2/7 - 4/7*f.
-2*(f + 1)**2/7
Let o(t) be the first derivative of -9*t**4/28 - 16*t**3/7 + 99*t**2/14 - 6*t - 1036. Factor o(h).
-3*(h - 1)*(h + 7)*(3*h - 2)/7
Let t = -1049607 - -7347257/7. Suppose 44/7*w - t - 12*w**2 + 68/7*w**3 - 20/7*w**4 = 0. What is w?
2/5, 1
Suppose 3*c - 9*d + 13*d - 728 = 0, 2*c + 5*d = 490. Suppose 122*v - 82*v - 20*v**3 + 5*v**4 + c - 65*v**2 + 160*v = 0. What is v?
-3, -1, 4
Suppose 3*m = 3*a + 315, 318 = -3*a + 2*m - 0*m. Let v be 81/a - (-138)/56. Let -v*l**4 + 9/7*l - 3/7*l**5 + 0 + 12/7*l**2 - 6/7*l**3 = 0. Calculate l.
-3, -1, 0, 1
Suppose -2*b - 146 = -150. Factor 393 + 2*l**4 - 393 - 4*l**b - 2*l**3.
2*l**2*(l - 2)*(l + 1)
Suppose 84 - 9 = 25*b. Suppose u - 15 = -5*z + 5, -2*z = -3*u + 9. Let z*s**2 - 4*s + b*s**3 + 6*s - 8*s**3 = 0. What is s?
-2/5, 0, 1
Factor 498 + 210*b - 1391*b**2 + 708*b**2 + 688*b**2 + 987.
5*(b + 9)*(b + 33)
Suppose -10*h + 47 - 17 = 0. Suppose -h*g + 5*i + 28 = g, 0 = g - 5*i - 22. Solve -1 - 8/3*b**3 + 2*b**g - b**4 + 8/3*b = 0 for b.
-3, -1, 1/3, 1
Suppose 17*o = 5*i + 16*o - 16, 5*i = -3*o + 52. Factor 2/5*x**i + 416/5*x + 144/5*x**3 + 352/5*x**2 + 28/5*x**4 + 192/5.
2*(x + 2)**4*(x + 6)/5
Factor 4/3*w**3 - 96 - 184/3*w - 4*w**2.
4*(w - 9)*(w + 2)*(w + 4)/3
Let s(o) be the second derivative of -2*o**7/105 + 8*o**6/75 - o**5/25 - 2*o**4/3 + 8*o**3/15 + 16*o**2/5 - 1802*o. Factor s(y).
-4*(y - 2)**3*(y + 1)**2/5
Let g = 9 + -7. Let j be -3 + g + 1 + 6. Factor -2*v**3 + j*v**2 + 5*v**4 - 13*v**4 + 5*v**4 + 2*v + v**4 - 4.
-2*(v - 1)**2*(v + 1)*(v + 2)
Let t(f) be the second derivative of 0 - 1/27*f**4 + 4/9*f**3 - 100*f + 0*f**2. Find o such that t(o) = 0.
0, 6
Factor 950625/2*z + 1/2*z**4 + 0 + 948675/2*z**2 - 1949/2*z**3.
z*(z - 975)**2*(z + 1)/2
Let q = 19311/110 + -1930/11. Let h(v) be the second derivative of 0*v**2 + 0 - q*v**5 - 1/3*v**3 + 12*v + 1/3*v**4. Suppose h(w) = 0. What is w?
0, 1
Let m(v) be the third derivative of -v**6/840 + v**5/14 + 69*v**4/56 + 54*v**3/7 - 21*v**2 + v. Factor m(y).
-(y - 36)*(y + 3)**2/7
Find x such that -87*x**2 + 33*x**3 - 2486*x**4 + 12*x**3 - 6*x**3 + 2483*x**4 - 399*x + 882 = 0.
-3, 2, 7
Let l(r) = 2*r**2. Let y(k) = 12*k**2 + 27*k - 21. Let s(h) = 2*l(h) + y(h). Let j(u) = 3*u**2 + 5*u - 4. Let b(x) = 11*j(x) - 2*s(x). Factor b(a).
(a - 1)*(a + 2)
Let k = 485/3 + -160. Let v(p) = 114*p - 9460. Let z be v(83). Determine c, given that 20/3*c - 25/3 + k*c**z = 0.
-5, 1
Let o be (-75)/70 + 1 - ((-6966)/84)/27. Determine r, given that -2/3 + 1/3*r**o + 2/3*r**2 - 1/3*r = 0.
-2, -1, 1
Let w(u) = 3*u**2 + 17*u + 46. Let c(l) = l**2 + l. Let f(v) = 2*c(v) - w(v). Let n be f(-9). Let 6*z**2 - 10 + 6 - n - 16*z + 2*z = 0. What is z?
-2/3, 3
Let l = -42 - 345. Let p = l + 389. Factor -9*q - 54 - 3/8*q**p.
-3*(q + 12)**2/8
Let -4 - 40*q**2 - 364/3*q = 0. What is q?
-3, -1/30
Let i be 8/196*868/62. Suppose -2/7*x**2 + i*x - 2/7 = 0. Calculate x.
1
Let f(c) be the third derivative of -c**6/300 - 149*c**5/150 - 73*c**4/30 + 296*c**3/15 + 1942*c**2. Factor f(j).
-2*(j - 1)*(j + 2)*(j + 148)/5
Let q(t) be the first derivative of t**6/6 + t**5/5 - t**4/2 - 2*t**3/3 + t**2/2 + t - 720. Factor q(f).
(f - 1)**2*(f + 1)**3
Let w(k) be the first derivative of -29 + 4*k - 1/9*k**3 - 1/6*k**2. Factor w(u).
-(u - 3)*(u + 4)/3
Let z(p) be the third derivative of -p**8/2856 - 2*p**7/357 - 9*p**6/340 - p**5/255 + 10*p**4/51 + 1093*p**2 - 2. Suppose z(u) = 0. What is u?
-5, -4, -2, 0, 1
Let o be (-38)/(-6) + -9*(-285)/(-513). Let 0*g**2 + 2/3*g**4 - 2/3 - 4/3*g**3 + o*g = 0. What is g?
-1, 1
Let n(o) be the second derivative of -o**5/5 + 59*o**4/3 - 112*o**3/3 - 232*o**2 - 362*o. Find m such that n(m) = 0.
-1, 2, 58
Suppose 0 = -29*s + s + 308. Suppose 3*r + 16 = -3*i + 37, -3*i + 5*r = s. Solve 0 + 4/3*q**2 + 0*q + 2/3*q**i = 0 for q.
-2, 0
Let f be (-2)/6*(-127 + (-2