 0.
-47, 0, 2
Let b(p) = 8*p**2 - 18*p + 10. Let j(r) = -23*r**2 + 52*r - 29. Suppose -y + 0 - 2 = -4*f, -2 = -2*y + 5*f. Let l(x) = y*j(x) + 17*b(x). Factor l(c).
-2*(c - 2)*(c - 1)
Suppose 2*o = -2*g + 2, -4*g - 40*o + 1 = -37*o. Let b be 0/(-119) + (-3)/g. Factor -b*u**2 - 27/2 - 9*u.
-3*(u + 3)**2/2
Let d(n) = -6319*n - 31593. Let l be d(-5). Suppose -1/3*h**3 + 0 - h - 4/3*h**l = 0. Calculate h.
-3, -1, 0
Factor 99/8*b - 897/4 + 3/8*b**2.
3*(b - 13)*(b + 46)/8
Let a(x) be the third derivative of -87*x**6/40 - 139*x**5/10 + 34*x**4 - 16*x**3 - 5*x**2 + 49*x. Let a(d) = 0. Calculate d.
-4, 4/29, 2/3
Let b be 862 - (0/8)/(-6). Let -11*d**2 - 677*d - 179*d**2 + 5*d**3 + b*d = 0. Calculate d.
0, 1, 37
Let q be (4 + 145/(-10))*-2. Let y = 27 - q. Determine o, given that -2*o**2 + 18*o + 0 - 14*o + y = 0.
-1, 3
Let s(d) = 15*d**2 - 20*d + 82. Let x(a) = 2*a**2 - a + 6. Let n(r) = 2*s(r) - 14*x(r). Determine v, given that n(v) = 0.
5, 8
Let j be (-2)/19 - 369830/(-100130) - 3. Determine y, given that j*y**5 + 12/17*y**4 + 8/17 + 6/17*y - 20/17*y**2 - 16/17*y**3 = 0.
-1, 4/5, 1
Factor -97*o + 22176*o**2 + 162370*o**3 + 1758626*o**3 + 161*o.
4*o*(693*o + 4)**2
Let u(y) = -17*y**2 - 25*y - 17. Let f(s) = 8*s**2 + 13*s + 8. Let c = -94 - -92. Let m(r) = c*u(r) - 5*f(r). Determine a so that m(a) = 0.
-2, -1/2
Let y = -181 + 186. Factor -70*h**3 - y*h**5 - 35*h**4 + 13*h**4 - 36*h**2 - 14*h**2 + 3*h**5.
-2*h**2*(h + 1)*(h + 5)**2
Let m(f) be the first derivative of f**4/12 - 2*f**3/3 + 2*f**2 - 67*f + 67. Let t(w) be the first derivative of m(w). Suppose t(g) = 0. Calculate g.
2
Let v(w) = 3*w**3 + 9*w**2 + 16*w - 6. Let g be v(-5). Let o = -231 - g. Factor 2*u**3 - 7/3*u - 1 - 2/3*u**2 + 5/3*u**4 + 1/3*u**o.
(u - 1)*(u + 1)**3*(u + 3)/3
Let z be (0 - (-3)/(-4)) + (-1104)/(-192). Factor f**z - f**4 - 725*f**3 - f**2 + 2*f**2 + 724*f**3.
f**2*(f - 1)**2*(f + 1)
Let i = -17632/105 + 5994/35. Solve -4*c**3 + i + 4*c - 8/3*c**2 - 2/3*c**4 = 0 for c.
-5, -1, 1
Let m(b) be the third derivative of 174*b**2 - 1/4*b**4 + 0*b + 20/9*b**3 + 0 - 1/180*b**5. What is j in m(j) = 0?
-20, 2
Let -547/3*i - 3*i**4 - 1177/3*i**2 - 26 - 239*i**3 = 0. What is i?
-78, -1, -1/3
Suppose -32*i + 376 = 65*i + 91*i. Factor -80 - 276/5*k**i - 4/5*k**4 + 56/5*k**3 + 112*k.
-4*(k - 5)**2*(k - 2)**2/5
Suppose 120*p - 2045 = 125*p. Let i = -408 - p. Suppose -i - 1/2*s**2 - 3/2*s = 0. Calculate s.
-2, -1
Let q(p) be the second derivative of 2/39*p**4 + 41*p + 3/65*p**5 + 0 + 0*p**2 - 5/39*p**3 - 4/195*p**6 - 1/273*p**7. Let q(w) = 0. What is w?
-5, -1, 0, 1
Let d(i) be the first derivative of 76 + 8/5*i**5 + 0*i**2 + 0*i**3 + 2/3*i**6 + i**4 + 0*i. Suppose d(l) = 0. What is l?
-1, 0
Let a(n) be the first derivative of -n**3/2 + 105*n**2/4 - 324*n - 185. Let a(t) = 0. What is t?
8, 27
Suppose 1021/11*f - 1/11*f**2 + 186 = 0. Calculate f.
-2, 1023
Let l(q) = -42*q - 3. Let s(h) = 5 - 43*h + 5*h**2 - 4*h**2 - 7. Let r(y) = -2*l(y) + 3*s(y). Find g, given that r(g) = 0.
0, 15
Let v(d) be the first derivative of 2*d**5/15 - 11*d**4/18 - 50*d**3/27 + 23*d**2/9 + 20*d/9 + 1261. Find q such that v(q) = 0.
-2, -1/3, 1, 5
Let j(u) be the third derivative of -u**6/120 - u**5/20 + 21*u**3 - 150*u**2. Let r(h) be the first derivative of j(h). Factor r(d).
-3*d*(d + 2)
Let c(t) = 27*t**3 + 333*t**2 + 223*t - 44. Let n(d) = 13*d**3 + 166*d**2 + 113*d - 22. Let x(i) = 6*c(i) - 13*n(i). Factor x(s).
-(s + 1)*(s + 22)*(7*s - 1)
Let z = 63915 + -63911. Factor 8*r**2 + 2/3 + 20/3*r**3 + 2*r**z + 4*r.
2*(r + 1)**3*(3*r + 1)/3
Suppose -a + 15 = m + 3*a, -2*m - 3*a = -10. Let l(t) = -t**3 - 21*t - 20. Let z be l(m). Factor 0 - 4/17*u + 2/17*u**z.
2*u*(u - 2)/17
Let l be (-26)/(-234) - 26*(-1)/(-6 + 30/2). Factor -1/10*r**l + 13/10*r + 7/10 + 1/2*r**2.
-(r - 7)*(r + 1)**2/10
Let z(y) be the third derivative of -4/3*y**4 + 0*y + 0 - 1/15*y**5 - 10*y**3 + 88*y**2. Find o such that z(o) = 0.
-5, -3
Solve -15*c**2 + 65/3*c**3 + 19*c**4 - 76/3*c - 4 + 11/3*c**5 = 0.
-3, -2, -1, -2/11, 1
Let s = 137473 - 137473. Determine p, given that -4/5*p**3 + 0 + s*p**2 - 2/5*p**4 + 0*p = 0.
-2, 0
Let t(r) be the second derivative of -r**4/66 + 70*r**3/11 - 416*r**2/11 + 200*r - 3. Factor t(k).
-2*(k - 208)*(k - 2)/11
Let i be ((-42)/4)/((-61)/122) - 3. Let r(l) be the third derivative of 0*l**3 + 0 - 1/24*l**4 + i*l**2 + 0*l + 1/120*l**5. Factor r(c).
c*(c - 2)/2
Let a(h) be the third derivative of -h**6/120 + 41*h**5/15 - 266*h**4 - 4704*h**3 + 22*h**2 + 22. Solve a(n) = 0 for n.
-4, 84
Let z = 35174 - 35170. Solve 2/3*x**z + 8/3*x**3 + 2*x**2 - 8/3*x - 8/3 = 0 for x.
-2, -1, 1
Let c(l) be the second derivative of l**5/120 - l**4/4 + 8*l**3/3 - 63*l**2 - 120*l. Let f(z) be the first derivative of c(z). Factor f(i).
(i - 8)*(i - 4)/2
Determine w so that -2645 - 1/5*w**2 - 46*w = 0.
-115
Let w(j) be the third derivative of -214369*j**5/150 + 463*j**4/10 - 3*j**3/5 - 246*j**2 + j. What is k in w(k) = 0?
3/463
Let b(c) be the third derivative of -69*c**2 - 1/20*c**6 - 1/105*c**7 + 0*c + 0*c**4 + 1 + 2/15*c**5 + 0*c**3. Factor b(j).
-2*j**2*(j - 1)*(j + 4)
Let t(k) = 9*k**3 - 6*k + 6. Let a(m) = 17*m**3 + 2*m**2 - 13*m + 13. Let b = 227 + -233. Let r(w) = b*a(w) + 13*t(w). Determine s so that r(s) = 0.
0, 4/5
Let b(a) = 4*a**3 - 28*a**2 - 20*a + 44. Let k = -502 - -503. Let v(p) = -p**3 + p**2. Let i(o) = k*b(o) + 5*v(o). Factor i(t).
-(t - 1)*(t + 2)*(t + 22)
Let h(y) be the first derivative of -y**4/2 + 538*y**3/3 + 541*y**2 + 542*y + 2794. Factor h(f).
-2*(f - 271)*(f + 1)**2
Let l = 40020 + -200099/5. Find j such that -47/5*j**3 - l*j**5 - 36/5 + 13/5*j**4 + 23/5*j**2 + 48/5*j = 0.
-1, 1, 6
Let b(t) be the first derivative of -41/44*t**4 + 72/11*t - 143 - 78/11*t**2 - 3/55*t**5 - 166/33*t**3. Determine o, given that b(o) = 0.
-6, -2, 1/3
Let i = -136 - -141. Let -3*j**3 + 12*j**2 + 9*j**2 - 5*j**2 - 6 - 3*j + 12*j**2 - 7*j**2 - 15*j**4 + 6*j**i = 0. What is j?
-1, -1/2, 1, 2
Let v(j) = 15*j**5 - 9*j**4 - 27*j**3 + 21*j**2 - 7*j + 7. Let b(r) = 2*r**5 - 3*r**4 + r**2 - r + 1. Let l(c) = -14*b(c) + 2*v(c). Let l(z) = 0. What is z?
-14, 0, 1
Let j(a) be the third derivative of 0*a**4 + 0 + 0*a**3 + a - 44*a**2 - 1/280*a**7 + 0*a**5 + 3/160*a**6. Determine n so that j(n) = 0.
0, 3
Let i(j) = j**4 + 2*j**2 - j + 2. Let m(g) = 12*g**4 + 34*g**3 + 271*g**2 - 767*g - 950. Let o(u) = 11*i(u) - m(u). Factor o(v).
-(v - 3)*(v + 1)*(v + 18)**2
Let f(i) = -i**3 - 12*i**2 - 8*i - 33. Let b be f(-12). Let v be (b/(-60))/((-17)/68). Factor -24*y**2 - 18*y**4 - 6/5 - 30*y**3 - 9*y - v*y**5.
-3*(y + 1)**4*(7*y + 2)/5
Let j be 19 + (-9510)/600 + (-6)/40. Determine b, given that 16/7*b - 4/7*b**j - 22/7*b**2 + 10/7*b**4 + 0 = 0.
-8/5, 0, 1
Let t(k) be the first derivative of -k**4/6 - 56*k**3/3 - 108*k**2 - 640*k/3 + 2018. Determine o so that t(o) = 0.
-80, -2
Let y(l) be the third derivative of 0 - 1/1680*l**8 + 1/210*l**7 - 1/100*l**6 - 1/10*l**3 - 1/150*l**5 + 7/120*l**4 + 241*l**2 + 0*l. Factor y(w).
-(w - 3)*(w - 1)**3*(w + 1)/5
Let s(f) = 2*f**2 + 2*f - f + 0*f**3 - 4*f + 4*f**3 + 3. Let c(w) = 15*w**3 + 7*w**2 - 11*w + 11. Let n(a) = -6*c(a) + 22*s(a). Solve n(d) = 0 for d.
0, 1
Suppose 192 = 98*v - 37 + 168 - 135. Factor 48*s + 14*s**v + 288/7.
2*(7*s + 12)**2/7
Let v(p) be the second derivative of -p**5/80 + 3*p**4/16 + 5*p**3/12 + p + 1240. Factor v(b).
-b*(b - 10)*(b + 1)/4
Let m = 93 - 91. Factor -3*v**m + 36 - 3*v**3 + 53*v + 0*v**2 - 29*v.
-3*(v - 3)*(v + 2)**2
Let j(q) = -2*q**2 - 6*q + 52. Let h(g) = -8*g**2 - 25*g + 210. Let y(o) = 2*h(o) - 9*j(o). Factor y(k).
2*(k - 4)*(k + 6)
Let f = 45775 + -45775. Factor -3/5*o**2 - 1/5*o**3 + 0 + f*o.
-o**2*(o + 3)/5
Let s be 10*(-1)/(10/(-5)). Suppose 23 = s*b - 32. Factor -4*x**2 + 8*x**2 - 5 - b + 0*x**2.
4*(x - 2)*(x + 2)
Suppose -13*b = -41*b + 1680. Let n = b + -774/13. Factor 2/13*s**2 + 4/13 - n*s.
2*(s - 2)*(s - 1)/13
Let m(k) be the first derivative of -2*k**3/27 - 202*k**2/9 + 406*k/9 + 1056. Factor m(c).
-2*(c - 1)*(c + 203)/9
Let q(f) be the third derivative of 1/105*f**7 + 0*f - 9*f**3 + 4 + 1/15*f**6 - 3*f**4 + 27*f**2 - 1/5*f**5. Find h such that q(h) = 0.
-3, -1, 3
Suppose 0 = -3*k - 9, -2*k = 2*z - k - 3. Let -5*i**2 + 3*i**2 + 40*i**4 + 2*i**z - 2*i**2 - 6*i - 39*i