6/20 + 101*d**5/45 + 19*d**4 + 640*d**3/9 + 2*d**2 + 63*d. Solve i(h) = 0 for h.
-10, -2, 32
Suppose -4*c + 2 = 4*z - 10, 4*c = -3*z + 14. Let s be 693/18 + -18 + (-60)/3. Solve v**3 - s + v**4 - 1/2*v**2 - 5/4*v + 1/4*v**c = 0.
-2, -1, 1
Suppose 0 = 53*t - 55*t. Let r(g) be the second derivative of 0*g**2 + 2/21*g**3 + 1/42*g**4 + t + 18*g. Factor r(m).
2*m*(m + 2)/7
Let a(n) be the first derivative of 1/15*n**3 - 21/5*n - 78 + 2/5*n**2. Solve a(w) = 0 for w.
-7, 3
Let w(m) = 37*m**2 + m. Let c be w(-1). Suppose c*q**3 - 22*q**3 - 8 + 9*q**2 - q**4 - 16*q**3 + 2*q = 0. Calculate q.
-4, -1, 1, 2
Let w(f) be the second derivative of 1/140*f**5 + 2 + 0*f**4 + 18*f + 0*f**3 + 0*f**2 - 1/105*f**6 + 1/294*f**7. Let w(r) = 0. Calculate r.
0, 1
Let t(y) = -y**2 - 7*y + 12. Let u be t(-8). Suppose 2*d - 1440 = -u*d. Determine f so that -16*f + 98 - 238*f**2 + d*f**2 - 19*f + 7*f = 0.
7
Factor 117/2*z**2 + 60*z**3 - 3/2*z + 0.
3*z*(z + 1)*(40*z - 1)/2
Suppose 4*v = -4*s + 12, -3*v - 33*s + 9 = -34*s. Let g(x) be the second derivative of 0 - 5/8*x**2 - 19*x + 1/4*x**v - 1/48*x**4. Let g(i) = 0. Calculate i.
1, 5
Let y(v) be the first derivative of -2*v**3/9 - 37*v**2/3 - 680*v/3 + 4802. Solve y(w) = 0 for w.
-20, -17
Let p = 1388082 - 1388080. Factor 2/3*n - 40/3 + 2/3*n**p.
2*(n - 4)*(n + 5)/3
Factor -1384/5 + 1388/5*o - 4/5*o**2.
-4*(o - 346)*(o - 1)/5
Let z(h) be the second derivative of 0*h**4 - 54*h - 7/18*h**3 + 1/60*h**5 + 0 + h**2. Factor z(b).
(b - 2)*(b - 1)*(b + 3)/3
Solve 18*n + 13*n**3 + 2*n + 2*n**5 + 2*n**5 + 52*n - 188*n**2 + 151*n**3 - 52*n**4 = 0 for n.
0, 1, 2, 9
Let o be (656/60)/((-118)/(-12)). Let m = o + -42/59. Find c such that 0 - 7/5*c**2 + 2/5*c**5 - m*c + 1/5*c**4 - 6/5*c**3 = 0.
-1, -1/2, 0, 2
Factor -1151723 - 95428 - 4*a**2 - 1562621 - 6776*a - 59864.
-4*(a + 847)**2
Factor 318/7*j**2 - 1/7*j**3 + 639/7*j + 320/7.
-(j - 320)*(j + 1)**2/7
Suppose 27*r**3 - 60*r + 11957*r**4 - 12*r**3 - 44*r**2 - 11958*r**4 = 0. What is r?
-1, 0, 6, 10
Suppose -3*p = 11*p - 1400. Let n = 116 - p. Factor 5*g**4 - 4 + 7*g**3 + 15*g**2 + 18*g**3 - 25*g - n.
5*(g - 1)*(g + 1)**2*(g + 4)
Factor 323870/3*s**3 + 5894591042/3 + 948700275*s - 49945880/3*s**2 + 1/3*s**5 - 310*s**4.
(s - 233)**4*(s + 2)/3
Suppose -56 = 2*s + 2*m + 3*m, 30*m + 36 = 27*m. Determine a, given that 32/3 - 26/3*a**3 - s*a**4 + 8*a - 8*a**2 = 0.
-2, -4/3, 1
Let f be 575/6 + (-1)/(-6). Let r = f - 56. Factor 35*m + r + 5*m**3 + 12*m**2 + 13*m**2 - 25.
5*(m + 1)**2*(m + 3)
Let s be (-6)/(-1) - ((-44)/(-6) + -10) - 7. Let w(j) be the first derivative of -s*j**3 - 1 + 1/5*j**5 + 0*j - 3/2*j**2 - 1/4*j**4. Let w(a) = 0. What is a?
-1, 0, 3
Suppose -l + 5*v = -9, 6*l + 19 = 11*l + v. Suppose -11*u**4 - 100*u - 24*u**l - 5*u**4 + 96*u**3 + 40*u**2 + 4*u**5 = 0. Calculate u.
-1, 0, 1, 5
Suppose 5*o + 14 = 4*j, -j + 4*o = -0*o - 9. Let g be 2 - j/3*0. Find x such that 629*x**g - 638*x**2 - 3*x + 0*x**3 + 3*x**4 + 3*x**3 + 6 = 0.
-2, -1, 1
Let i(b) be the second derivative of b**6/6 - 9*b**5/4 + 45*b**4/4 - 45*b**3/2 + 255*b - 2. Factor i(l).
5*l*(l - 3)**3
Let m(t) be the second derivative of -3*t**5/40 + 29*t**4/4 - 1081*t**3/4 + 4761*t**2 + 150*t - 9. Factor m(g).
-3*(g - 23)**2*(g - 12)/2
Let g(w) = 636*w + 38796. Let s be g(-61). Find n such that 0 - 3/2*n - 3/2*n**5 + 3*n**3 + 0*n**2 + s*n**4 = 0.
-1, 0, 1
Let i = 146/457 - -4132/1371. Solve 176/3*y - 665/2*y**2 + 1813/3*y**3 - i - 343/6*y**4 = 0 for y.
1/7, 2/7, 10
Let k(h) = -17*h + 274. Let u be k(16). Let -u*z**2 + 3 + 0*z**2 - 8*z + 10 + 11 = 0. Calculate z.
-6, 2
Let d = 1089732 + -7628094/7. Factor 36/7 - 69/7*b + d*b**2 + 3/7*b**3.
3*(b - 1)**2*(b + 12)/7
Let t(u) be the third derivative of u**7/525 - 19*u**6/100 + 143*u**5/25 + 121*u**4/3 - 31944*u**3/5 - 919*u**2 + 4*u + 1. Factor t(f).
2*(f - 22)**3*(f + 9)/5
Let d(n) = 167*n**3 - 22140*n**2 - 23*n + 22156. Let t(h) = 105*h**3 - 14760*h**2 - 15*h + 14770. Let p(z) = 5*d(z) - 8*t(z). Find q such that p(q) = 0.
-1, 1, 1476
Let w(g) be the second derivative of g**5/30 + g**4/4 - 10*g**3/3 - 52*g**2 + 121*g. Let n(h) be the first derivative of w(h). Suppose n(c) = 0. Calculate c.
-5, 2
Let u(w) be the second derivative of -w**6/1800 + 11*w**5/300 - 121*w**4/120 + 71*w**3/2 - 7*w + 9. Let h(y) be the second derivative of u(y). Factor h(s).
-(s - 11)**2/5
Let n(t) = 6*t**4 + 3*t**3 - 127*t**2 - 297*t - 223. Let r(k) = -19*k**4 - 12*k**3 + 383*k**2 + 892*k + 668. Let d(v) = 16*n(v) + 5*r(v). Factor d(c).
(c - 19)*(c + 2)**2*(c + 3)
Let c(q) be the third derivative of 8*q**2 + 5/8*q**4 + 1/4*q**6 - 1/2*q**5 + 0 + 1/112*q**8 + 0*q - 1/2*q**3 - 1/14*q**7. Solve c(d) = 0 for d.
1
Let t be (2/((-72)/78))/((-5)/5245). Let l = t - 2272. Factor 55/6*v - 25/3 - l*v**2.
-5*(v - 10)*(v - 1)/6
Suppose 2*v = 3*p - 27 + 7, 3*v = -3*p. Let g be (-3 + 3)*(15/14 - 564/987). Factor -4/3*k**3 + 0*k + 2/3*k**2 + 2/3*k**p + g.
2*k**2*(k - 1)**2/3
Let b(r) = -r**2 - 2675*r + 13404. Let p be b(5). Suppose -2/7*q**p + 1/7*q**5 + 2/7*q**2 - 1/7*q**3 + 0 + 0*q = 0. Calculate q.
-1, 0, 1, 2
Let m(t) be the second derivative of 52*t + 11/60*t**5 - 4/9*t**3 - 1/42*t**7 - 1/12*t**4 - 1/90*t**6 + 0 + 2/3*t**2. Suppose m(j) = 0. What is j?
-2, -1, 2/3, 1
Let b be (5 - 5 - -1) + 52. Factor 24*f**2 - 12*f**2 - 13*f**2 + 42*f - b*f**2 - 3 - 93*f**2.
-3*(7*f - 1)**2
Let z = -196 + 244. Let -26*a**2 + 19*a**2 + 10*a**2 - z = 0. What is a?
-4, 4
Let j(c) = -c**5 - 6*c**4 - 16*c**3 - 9*c**2 - c. Let d(l) = l**5 + 6*l**4 + 15*l**3 + 10*l**2 + 2*l. Let k(x) = 6*d(x) + 4*j(x). Suppose k(z) = 0. What is z?
-2, -1, 0
Let v(c) be the second derivative of -c**10/50400 + c**9/37800 - c**4/12 - 5*c**2 - 2*c - 13. Let k(o) be the third derivative of v(o). Factor k(z).
-z**4*(3*z - 2)/5
Let -312*n**2 + 52110 + 111*n**3 - 20394*n - 113*n**3 + 712*n**2 - 12906 = 0. Calculate n.
2, 99
Let g be (-6)/(-76) - (18/(-8) - (-3)/4). Factor 0 - g*w + 2/19*w**2.
2*w*(w - 15)/19
Let x(z) be the third derivative of z**5/12 - 3185*z**4/12 + 2028845*z**3/6 - 3995*z**2. Determine c, given that x(c) = 0.
637
Let d be ((-2)/4)/(-2*3/252). Let p(c) = -13*c**5 + 3*c**4 - 4*c**3 - 7. Let q(o) = -2*o**5 - 1. Let z(n) = d*q(n) - 3*p(n). Solve z(t) = 0.
-4, 0, 1
Suppose -2*h + 8*r - 7*r + 332 = 0, 830 = 5*h - 5*r. Factor 15*i**4 + 235*i**3 + 237*i - 557*i + 1046*i**2 - h*i**2.
5*i*(i + 8)**2*(3*i - 1)
Let o = -64 - -66. Factor -5106*l**4 + 14080*l**o - 6528*l**3 + 324*l**5 + 36064*l**3 - 1140*l**4 - 90*l**4 + 1600*l.
4*l*(l - 10)**2*(9*l + 2)**2
Let p(q) = 7*q**4 + 7*q**3 + 1343*q**2 - 7*q + 3. Let h(u) = 4*u**4 + 4*u**3 + 732*u**2 - 4*u + 2. Let r(l) = -11*h(l) + 6*p(l). Factor r(g).
-2*(g - 1)**2*(g + 1)*(g + 2)
Factor -6/5*y**2 + 4914/5 - 4908/5*y.
-6*(y - 1)*(y + 819)/5
Let t(o) be the third derivative of -o**8/784 - 3*o**7/49 - 277*o**6/280 - 39*o**5/7 - 169*o**4/14 - 1098*o**2. Factor t(k).
-3*k*(k + 2)**2*(k + 13)**2/7
Suppose r - 5*b = 26, 2*r + 2*b + 86 = 6*r. Find w such that -34*w**2 - 23*w - w - r*w + 31*w**2 = 0.
-15, 0
Let y be -3*2*(-1)/3. Let x = -286 - -292. Determine v so that v**3 + x*v - 7*v + 13*v**2 - 13*v**y = 0.
-1, 0, 1
Let i(s) = 6*s**3 + 74*s**2 - 182*s + 86. Let q be 97*4/24 + (-1)/6. Let w(r) = r**3 + 15*r**2 - 36*r + 17. Let h(m) = q*w(m) - 3*i(m). Solve h(u) = 0.
1, 7
Factor -4*i**3 - 5745 + 1173*i - 8*i**2 - 117*i + 36*i**2 - 4047.
-4*(i - 12)**2*(i + 17)
Let p(i) be the second derivative of i**5/70 - i**4/14 - 26*i**3/7 + 80*i**2/7 - 1192*i. Solve p(q) = 0 for q.
-8, 1, 10
Factor 6/11*c**2 - 216/11*c + 1080/11.
6*(c - 30)*(c - 6)/11
Let v(x) be the third derivative of -x**6/120 + 3*x**5/10 - 5*x**4/2 + 28*x**3/3 + 3316*x**2. Determine d, given that v(d) = 0.
2, 14
Let l be (-13)/(-1) + (-385)/455*13. Suppose -2/5*f**3 + 12/5*f**l + 16/5 + 6*f = 0. Calculate f.
-1, 8
Factor 2434/3*j**2 + 0 - 2/3*j**3 - 2432/3*j.
-2*j*(j - 1216)*(j - 1)/3
Suppose 3*t - 102 = 50*u - 46*u, 3 = u. Suppose -82 = -60*y + t. Determine n so that -17/2*n + 2 + 10*n**y - 2*n**3 = 0.
1/2, 4
Suppose 28*r = 4852 - 4768. Suppose 25/4*s**2 - 25/4 - 5/4*s**r + 5/4*s = 0. Calculate s.
-1, 1, 5
Let n(l) be the first derivative of -l**6/51 + 4*l**5/85 + 19*l**4/34 + 56*l**3/51 + 12*l**2/17 - 2514. What is f in n(f) = 0?
-2, -1, 0, 6
Let a(l) = -543