- 34*g**2. Let a(u) = 0. What is u?
-3/5, 0, 3
Let v be ((-666)/15)/((-6129)/18). Let h = v + 2/681. Factor h*i**2 - 2/15*i**4 - 2/15*i + 0 + 2/15*i**3.
-2*i*(i - 1)**2*(i + 1)/15
Factor 3/2 + 9/2*f**2 - 3/2*f**3 - 9/2*f.
-3*(f - 1)**3/2
Let o(b) = 15*b**3 + 35*b**2 - 15*b + 25. Let l(s) = -s**3 - s**2 - 1. Let f be ((-3)/(-2))/((-15)/200). Let y(n) = f*l(n) - o(n). Find a such that y(a) = 0.
1
Suppose 8*z = -0*z - 8. Let c be z/(((-42)/12)/7). Determine u, given that 2/3*u**3 - 10/3*u + 4/3 + 2*u**c - 2/3*u**4 = 0.
-2, 1
Let w(m) be the first derivative of m**4/4 - 8*m**3/3 - m**2/2 + 8*m + 120. Let w(y) = 0. What is y?
-1, 1, 8
Let n(s) be the first derivative of 10 - 2/33*s**3 + 1/11*s**2 + 1/66*s**4 + 2*s. Let f(y) be the first derivative of n(y). Determine a so that f(a) = 0.
1
Let f = -65 + 65. Suppose 2*s - 13*p + 9*p = f, 7 = s + 5*p. Suppose 0*i + 2/5*i**4 - 4/5*i**3 + 0 + 2/5*i**s = 0. What is i?
0, 1
Let n(o) be the second derivative of -o**6/150 + o**5/10 - 8*o**4/15 + 16*o**3/15 + 98*o. Factor n(r).
-r*(r - 4)**2*(r - 2)/5
Suppose -14 = -2*t + 2. Let a be 216/15 + t/(-20). Factor 15*l**2 + l**4 - 24*l**3 - 3*l**5 - 3*l**2 + a*l**4.
-3*l**2*(l - 2)**2*(l - 1)
Let f be 207/(-552)*(-2 - 0). What is n in -f*n**3 + 9/4*n**2 + 0*n + 0 = 0?
0, 3
Let v(u) be the second derivative of u**6/75 + 3*u**5/25 + 3*u**4/10 + 4*u**3/15 + 19*u. Factor v(i).
2*i*(i + 1)**2*(i + 4)/5
Let q(y) be the second derivative of -y**6/150 + 139*y**5/50 - 2139*y**4/5 + 25947*y**3 + 804357*y**2/10 + 145*y - 1. Let q(t) = 0. Calculate t.
-1, 93
Let v = -2/18243 - -36500/127701. Factor v*r**4 + 4/7*r**3 - 8/7*r - 6/7*r**2 + 8/7.
2*(r - 1)**2*(r + 2)**2/7
Let r = -18090 + 18092. Factor -1/2*y - 3/4*y**r + 1/4.
-(y + 1)*(3*y - 1)/4
Let u(k) be the first derivative of 12/5*k**5 + 16*k - 28/3*k**3 + 0*k**2 + k**4 + 20 - 2/3*k**6. Let u(o) = 0. What is o?
-1, 1, 2
Let k be (-3 + 0 + -1)*-1. Let g(d) = -d**2 + 6*d - 6. Let s be g(k). Solve -6*j + 0*j**2 + 3*j**s + 0*j**2 = 0.
0, 2
Suppose i = f + 1 + 2, 9 = -2*f + 3*i. Let z be (-2)/5 - (-9)/10. Let 1/4*b**5 + 0*b**4 + 0 - z*b**3 + 1/4*b + f*b**2 = 0. What is b?
-1, 0, 1
Let q(c) = -7*c**3 + 53*c**2 + 45*c - 10. Let x(r) = 6*r**3 - 52*r**2 - 46*r + 8. Let m(u) = 4*q(u) + 5*x(u). What is z in m(z) = 0?
-1, 0, 25
Suppose p - 47 = 5*s, -4*s - p - 49 = 2*p. Let v = -7 - s. Factor -2/7*q**4 - 2/7 - 12/7*q**2 + 8/7*q**v + 8/7*q.
-2*(q - 1)**4/7
Factor -2/7*a + 0 + 2/7*a**5 + 0*a**3 - 4/7*a**4 + 4/7*a**2.
2*a*(a - 1)**3*(a + 1)/7
Suppose -5*l + 5*v + 5 = 0, 2*v - 4 = -5*l + 15. Let 484*x**3 - 180*x**2 - 36*x**4 + 314*x**3 + l*x**5 - 660*x**3 + 75*x = 0. Calculate x.
0, 1, 5
Let t(j) = -6*j**2 + 44*j - 24. Let n(r) = -5*r**2 + 43*r - 26. Let w(s) = -7*n(s) + 6*t(s). Find m, given that w(m) = 0.
-38, 1
Let p be (6/(-20))/(-8 + 124/20). Let r(l) be the third derivative of 0 - p*l**4 + 0*l - 1/80*l**6 + 1/3*l**3 - 11/120*l**5 - 8*l**2. Factor r(y).
-(y + 2)**2*(3*y - 1)/2
Suppose 40/7*o**2 - 22/7*o**3 - 2*o - 4/7 = 0. What is o?
-2/11, 1
Let v be (-4)/2 - 1/1. Let n(c) = -5*c**2 - 2*c + 10. Let j(b) = -b. Let h(i) = v*j(i) - n(i). Factor h(r).
5*(r - 1)*(r + 2)
Determine r so that -28/11*r**2 + 64/11 - 10/11*r**3 + 64/11*r = 0.
-4, -4/5, 2
Let o = -1433 + 270838/189. Let b(t) be the second derivative of -13/90*t**5 + 0 + 2/45*t**6 - 4/27*t**3 + 0*t**2 + 2/9*t**4 - o*t**7 + 4*t. Factor b(v).
-2*v*(v - 2)**2*(v - 1)**2/9
Suppose -3*o = -6*o + 9. Let p be (-48)/40*(-2 + (-2)/(-6)). Determine l, given that -7 + 4 + o - p*l**2 - 2*l = 0.
-1, 0
Let a(b) = -43*b**2 - 63*b + 67. Let k(l) = 22*l**2 + 32*l - 33. Let h(r) = -3*a(r) - 7*k(r). Factor h(g).
-5*(g + 2)*(5*g - 3)
Let d be 45/12 + 15/(-20). Suppose 4*b**2 - 2*b**5 + 2*b**4 + b**3 - 2*b**4 - 4*b**4 + b**d = 0. What is b?
-2, -1, 0, 1
Let c(l) be the third derivative of -l**6/360 - l**5/36 - l**4/18 + 335*l**2. Factor c(u).
-u*(u + 1)*(u + 4)/3
Suppose 0 + 5/3*o**5 + 0*o - 5/3*o**3 - 5/3*o**4 + 5/3*o**2 = 0. What is o?
-1, 0, 1
Let q = -1165 + 1167. Factor -8/9 - 8/9*u - 2/9*u**q.
-2*(u + 2)**2/9
Suppose 2*i**2 + 2*i**2 - 19*i**3 + 2*i**4 + 15*i**3 + 10*i**3 = 0. Calculate i.
-2, -1, 0
Solve 0 + 0 + 2858*n - 2857*n - n**2 = 0 for n.
0, 1
Let v be -4*1/(-6) + (-36)/(-27). Factor 28*f + 21*f**3 + 10*f**2 - 12*f + 11*f - 3*f**4 + 41*f**v.
-3*f*(f - 9)*(f + 1)**2
Let j be (16 - 17 - 1*-3)/((-4)/(-1)). Factor -c**2 + 0 + j*c**3 + 0*c + 1/2*c**4.
c**2*(c - 1)*(c + 2)/2
What is t in -51*t**2 + 0*t**2 - 2*t**3 - 16*t + 29*t**2 + 40 = 0?
-10, -2, 1
Let j = -43 + 47. Let b = 6/23 - -57/46. Factor a**3 + b*a**2 + 1/4 + 1/4*a**j + a.
(a + 1)**4/4
Find o such that 20/7 + 9/7*o + 1/7*o**2 = 0.
-5, -4
Let b(s) be the first derivative of s**6/33 - 2*s**5/11 - 7*s**4/11 - 4*s**3/33 + 13*s**2/11 + 14*s/11 - 63. Determine r, given that b(r) = 0.
-1, 1, 7
Let q(t) be the second derivative of 1/100*t**5 + 0 + 7*t - 1/60*t**4 + 1/10*t**2 - 1/30*t**3. Suppose q(s) = 0. Calculate s.
-1, 1
Let u(o) be the second derivative of 5*o**4/12 + 10*o**3 + 90*o**2 - 22*o - 3. Factor u(w).
5*(w + 6)**2
Let j(f) be the first derivative of -1/6*f**4 - 37 - 4/9*f**3 - 1/3*f**2 + 0*f. Factor j(m).
-2*m*(m + 1)**2/3
Let k = -4/2157 - -12970/15099. Determine w so that -k*w**2 - 3/7*w**3 + 0*w + 0 = 0.
-2, 0
Let c(h) = 14*h**2 + 3*h**2 + 1295 - 238 - 252*h + 707. Let y(n) = -11*n**2 + 168*n - 1176. Let w(d) = 5*c(d) + 8*y(d). Factor w(r).
-3*(r - 14)**2
Let y(u) be the first derivative of -u**7/630 + u**5/90 + 4*u**3 - 20. Let a(q) be the third derivative of y(q). Suppose a(i) = 0. Calculate i.
-1, 0, 1
Let g(i) = -2*i. Let f(t) = 14*t**2 - 3. Let y(h) = -5*h**2 + 1. Let n(k) = -6*f(k) - 17*y(k). Let x(w) = -3*g(w) - 3*n(w). Suppose x(c) = 0. What is c?
1
Let g be ((-16)/(-12) + -1)*6. Factor -2*p + 12*p**2 - 20*p**2 + 3*p**2 + 7*p**2 - 2 + g*p**3.
2*(p - 1)*(p + 1)**2
Let l = -8114/15 + 1624/3. Factor -4/5*k + 6/5*k**3 + 0 - l*k**2.
2*k*(k - 1)*(3*k + 2)/5
Let c be (10 + (-336)/35)/((-2)/(-10)). Let l(d) be the second derivative of 7/8*d**4 + 15/4*d**3 + 27/4*d**c + 3/40*d**5 - 5*d + 0. Factor l(q).
3*(q + 1)*(q + 3)**2/2
Factor -15 + u**3 + 22*u + 17*u**3 - 40*u + 12*u**2 + 3*u**4.
3*(u - 1)*(u + 1)**2*(u + 5)
Let z(r) = -3*r**3 - 302*r**2 - 9806*r - 107816. Let f(c) = 3*c**3 + 303*c**2 + 9807*c + 107817. Let v(i) = -5*f(i) - 6*z(i). Factor v(d).
3*(d + 33)**3
Let v be ((-9)/9)/((-2)/4). Solve -d**3 - 4 - 3*d**2 + 12*d**2 + d**5 - 3*d**4 - v*d**2 = 0.
-1, 1, 2
Let d be ((-36)/45)/((-1)/110). Factor 14*w**3 + d*w**4 - 183*w**4 - 12*w**2 + 93*w**4.
-2*w**2*(w - 6)*(w - 1)
Let z = 34 - 26. Suppose 22*f - z*f = 42. Factor 57/2*u**2 - 24*u - 6 - 15/2*u**f.
-3*(u - 2)**2*(5*u + 1)/2
Let k(l) be the third derivative of -l**8/784 + l**6/40 + 3*l**5/70 - 386*l**2. Suppose k(a) = 0. Calculate a.
-2, -1, 0, 3
Let w(m) = -3. Let g(b) = -3*b**2 - 51*b + 18. Let f(k) = g(k) + 6*w(k). Factor f(o).
-3*o*(o + 17)
Let g(u) be the second derivative of u**7/840 + u**6/540 - u**5/120 - u**4/36 + 29*u**3/3 - 7*u - 4. Let y(j) be the second derivative of g(j). Factor y(n).
(n - 1)*(n + 1)*(3*n + 2)/3
Let m(f) be the second derivative of 0 + 4/3*f**3 - 3/5*f**5 + 19*f + 0*f**2 - 2/15*f**6 + 2/21*f**7 + 1/3*f**4. Factor m(k).
4*k*(k - 2)*(k - 1)*(k + 1)**2
Let v(k) = -k**2 - k. Let n be v(-1). Factor n*d + 1/6*d**2 - 2/3.
(d - 2)*(d + 2)/6
Let a be (-67)/(-4) - (0 - -10). Factor -3/4*k**3 - a*k**2 - 81/4 - 81/4*k.
-3*(k + 3)**3/4
Let n(c) be the second derivative of c**5/30 + 5*c**4/18 - 2*c**3/3 + 61*c - 2. Factor n(i).
2*i*(i - 1)*(i + 6)/3
Suppose 0 = 4*k + 2*k - 54. Factor 48*g**2 + g + 6*g + 24*g**4 + k*g + 52*g**3 + 4*g**5.
4*g*(g + 1)**2*(g + 2)**2
Let c(x) = 57*x - 2. Let b be c(5). Suppose -5*y + 1932 + b = 0. Factor -y + 443 - 2*u**2.
-2*u**2
Suppose 22*v - 27*v = -20. Let a(u) be the second derivative of 0 - 1/2*u**3 - 1/4*u**v - 4*u + 0*u**2. Factor a(z).
-3*z*(z + 1)
Let t(n) be the first derivative of 9*n**5/5 + 16*n**4/3 + 10*n**3/3 - 4*n**2 - 41*n + 35. Let b(f) be the first derivative of t(f). Solve b(k) = 0.
-1, 2/9
Let k be 4/6 - 5*(-4)/15. Suppose z + 18 = 3*z + 4*m, -2*z - 14 = -4*m. Determine c, given that z + 7*c + c**k + 6 - c + 2 = 0.
-3
Let p(o) be the first derivative of -o**4/42 + o**3/14 + 23*o + 16. Let k(y) be 