i) = -42*d(i) + 2*s(i). Let a(o) = 2*q(o) - 7*t(o). Solve a(m) = 0.
-2, 0
Let r(f) = -f**5 - 16*f**4 - 46*f**3 + 6*f**2 + 6*f + 6. Let i(d) = d**5 - d**4 - d**3 + 3*d**2 - d - 1. Let y(c) = 6*i(c) + r(c). What is u in y(u) = 0?
-2, 0, 2/5, 6
Let w = -25 - -46. Suppose 3*g**2 - 10*g**3 + g**4 + w*g**3 - 14*g**3 - g = 0. Calculate g.
0, 1
Let w(b) be the second derivative of -2*b**7/21 - 2*b**6/15 + 2*b**5/5 - 5*b - 1. Suppose w(k) = 0. What is k?
-2, 0, 1
Let y = -68 + 90. Factor -18*k**2 + 77*k**2 - 16*k**3 - y*k**2 - 17*k**2.
-4*k**2*(4*k - 5)
Suppose -3*f - 5*d = -16, -d = 3*f - 9 + 1. Let g be 66/18 + (-4)/6. Solve 2/13*k**g + 0*k**f - 6/13*k + 4/13 = 0.
-2, 1
Let v(c) = -8*c + 50. Let b be v(6). Let r(z) be the second derivative of -3*z + 1/2*z**3 + 0 + 1/12*z**4 + z**b. Factor r(t).
(t + 1)*(t + 2)
Suppose 5*v**2 + 12*v + 5*v + v + 45 + 12*v = 0. What is v?
-3
Let g(d) be the third derivative of d**5/20 - 11*d**4/4 + 21*d**3/2 - 118*d**2. Factor g(k).
3*(k - 21)*(k - 1)
Let p(n) be the first derivative of 1/35*n**5 + 1/7*n**2 + 0*n**4 - 1/7*n**3 + 0*n - 18. Factor p(b).
b*(b - 1)**2*(b + 2)/7
Let i(b) = -10*b**2 + 140*b - 501. Let t(a) = 8*a**2 - 5*a - 23*a - 6*a**2 + 100. Let p(c) = 4*i(c) + 22*t(c). Factor p(s).
4*(s - 7)**2
Let c(j) be the second derivative of j**5/50 + 19*j**4/30 + 16*j**3/5 - 12*j - 2. Factor c(u).
2*u*(u + 3)*(u + 16)/5
Let r(b) be the second derivative of b**7/56 - b**6/5 - 3*b**5/40 + b**4 + b**3/8 - 3*b**2 + 155*b + 2. What is m in r(m) = 0?
-1, 1, 8
Let f(y) = -2*y**5 - 16*y**4 + 34*y**3 - 3*y**2 - 42*y + 14. Let a(g) = g**5 - g**4 + g**3 + 2. Let x(s) = -5*a(s) - f(s). Suppose x(t) = 0. What is t?
-1, 1, 2, 4
Let m(o) be the third derivative of o**9/100800 - o**8/33600 + o**5/20 + 13*o**2. Let u(z) be the third derivative of m(z). Suppose u(g) = 0. Calculate g.
0, 1
Let k(c) = -5*c**2 + 50*c - 80. Let i(r) = -10*r**2 + 100*r - 160. Let f(g) = 6*i(g) - 13*k(g). Factor f(q).
5*(q - 8)*(q - 2)
Suppose 0*b + 23 = 2*b - j, -3*b + 3*j + 30 = 0. Find z, given that z**3 - b*z**2 + 5*z - 2 + 2*z - 2*z + 9*z**2 = 0.
1, 2
Let l = -2/1729 + 147461/1729. Let p = l - 85. Suppose p*z + 0 + 9/7*z**2 + z**3 = 0. Calculate z.
-1, -2/7, 0
Factor 48/5*x**2 - 144/5*x - 4/5*x**3 + 0.
-4*x*(x - 6)**2/5
Suppose -y = -y - 3*y. Suppose y*d - 5*d = d. Factor d*s + 3/5*s**3 - 3/5*s**5 + 0 + 0*s**2 + 0*s**4.
-3*s**3*(s - 1)*(s + 1)/5
Let r(n) be the second derivative of 2*n**7/21 - 16*n**6/15 + 22*n**5/5 - 28*n**4/3 + 34*n**3/3 - 8*n**2 + 2*n + 7. Factor r(f).
4*(f - 4)*(f - 1)**4
Let o = -535 + 539. Let b(g) be the first derivative of -2/45*g**3 + 0*g**2 - 2/15*g**o + 0*g - 6. Find q, given that b(q) = 0.
-1/4, 0
Let z(q) be the second derivative of 0*q**3 + 0 - 14*q + 0*q**2 + 1/24*q**4. What is a in z(a) = 0?
0
Suppose 0*y - 2/7*y**3 + 0 + 48/7*y**2 = 0. Calculate y.
0, 24
Let q(f) = 6 + f + 9 - 3 - 2. Let l be q(-8). Let -6*i**2 + i**3 - i**2 + 5*i**2 + i**l = 0. Calculate i.
0, 1
Let c(n) be the first derivative of 3*n**5/35 - 3*n**4/14 - 3*n**3/7 + 35. Factor c(z).
3*z**2*(z - 3)*(z + 1)/7
Let w = 337/9 - 1658/45. Let i(t) be the first derivative of -10 - 9/4*t**4 + w*t**5 - 3/2*t**2 + 3*t**3 + 0*t. What is q in i(q) = 0?
0, 1
Let a(i) be the third derivative of -i**9/2268 - i**8/420 + 2*i**6/135 - 8*i**3/3 + 2*i**2 - 4. Let p(u) be the first derivative of a(u). Factor p(c).
-4*c**2*(c - 1)*(c + 2)**2/3
Let y(o) be the second derivative of o**7/840 - o**6/240 + o**5/240 + 7*o**2/2 + 15*o. Let t(n) be the first derivative of y(n). Factor t(s).
s**2*(s - 1)**2/4
Let o(j) = -45*j**2 + 328*j - 60. Let n(a) = 24*a**2 - 165*a + 30. Let z(g) = 7*n(g) + 3*o(g). Factor z(h).
3*(h - 5)*(11*h - 2)
Let n = 59 + -36. Find b, given that -5*b**3 + 12*b**2 + 0*b**5 + 19*b**4 + b**4 - 4*b**5 - n*b**3 = 0.
0, 1, 3
Let k(a) be the first derivative of 375*a**5 - 13875*a**4 + 205350*a**3 - 1519590*a**2 + 5622483*a - 181. Factor k(t).
3*(5*t - 37)**4
Let b = -12 - -14. Suppose -26 - 36 - 3*i**2 + 0*i**b + 65 = 0. Calculate i.
-1, 1
What is v in 4950*v**2 - 1085/4*v**3 + 0 + 15/4*v**4 - 1620*v = 0?
0, 1/3, 36
Factor 1/2 - 1/8*u**4 - 1/8*u**3 - 11/8*u + 9/8*u**2.
-(u - 1)**3*(u + 4)/8
Let i(k) be the second derivative of -k**4/20 - 13*k**3/5 - 99*k**2/2 - 548*k. What is r in i(r) = 0?
-15, -11
Let v(m) be the third derivative of -m**5/12 + 25*m**4/6 - 160*m**3/3 - 5*m**2 - 21*m. Solve v(p) = 0 for p.
4, 16
Let q(z) be the third derivative of 0*z + 0 + 1/12*z**5 - 35/24*z**4 - 15*z**2 + 5*z**3. Factor q(t).
5*(t - 6)*(t - 1)
Suppose -c + 13*a = 18*a - 4, -20 = -5*c + 4*a. Solve -54/17*q**2 - 2/17*q**c + 18/17*q**3 + 54/17*q + 0 = 0.
0, 3
Let v = 4459/4 + -4405/4. Suppose 1/2*m**3 + v*m - 27/2 - 9/2*m**2 = 0. Calculate m.
3
Suppose -a = 3*a. Let y = 3 + a. Factor 0*o**3 + 2*o**y - 2*o - 1 + 1.
2*o*(o - 1)*(o + 1)
Let t(y) be the third derivative of -y**6/120 + 29*y**5/150 + 41*y**4/30 + 28*y**3/15 - 177*y**2 + 2. Suppose t(k) = 0. Calculate k.
-2, -2/5, 14
Let d(a) = 9*a**3 + 9*a**2 - 9*a - 15. Let v be (-5 + (-21)/6)/((-1)/(-2)). Let y(f) = -26*f**3 - 27*f**2 + 26*f + 44. Let b(g) = v*d(g) - 6*y(g). Factor b(l).
3*(l - 1)*(l + 1)*(l + 3)
Let l(u) be the second derivative of -1/70*u**5 + 0 - 7*u - 4/21*u**3 + 0*u**2 - 2/21*u**4. Find t such that l(t) = 0.
-2, 0
Let i(q) = 13 - q**2 + 14 + 2 - 9*q - 18. Let r(u) = u. Let k(w) = 5*i(w) - 5*r(w). Factor k(f).
-5*(f - 1)*(f + 11)
Let b be (-836)/(-1045) - 0/1. Factor 24/5*c**3 - b*c**4 + 32/5*c + 0 - 48/5*c**2.
-4*c*(c - 2)**3/5
Let a(x) be the third derivative of -x**8/80640 + x**6/720 - x**5/12 - x**2. Let k(t) be the third derivative of a(t). Determine u so that k(u) = 0.
-2, 2
Let k(g) = -g**2 + g - 1. Let d(h) = 15*h**2 + 90*h - 585. Let n be (-1)/5 + 24/20. Let j(o) = n*d(o) + 20*k(o). What is b in j(b) = 0?
11
Let t(d) = -d**3 - 8*d**2 - 9*d + 21. Let w be t(-6). Find f such that 0*f + 10*f**2 + 2/5*f**4 + 0 - 4*f**w = 0.
0, 5
Let z(v) be the first derivative of -v**6/3 + 6*v**5/5 - v**4/2 - 2*v**3 + 2*v**2 - 90. Let z(d) = 0. Calculate d.
-1, 0, 1, 2
Let v(x) = -21*x**2 - 2*x - 5*x**4 + 26*x**2 + 0*x**3 + x**3 + 4*x. Let i(j) = -26*j**4 + 6*j**3 + 26*j**2 + 10*j. Let z(s) = 3*i(s) - 16*v(s). Factor z(n).
2*n*(n - 1)*(n + 1)**2
Let o = -23 + 22. Let f(q) = 0*q**2 - q + q**2 - 2*q**2. Let g(s) = 2*s**2 + 2*s. Let i(d) = o*g(d) - 5*f(d). Suppose i(h) = 0. What is h?
-1, 0
Let o(t) be the second derivative of t**6/900 + t**5/100 + t**4/30 + 4*t**3/3 - 15*t. Let i(d) be the second derivative of o(d). Suppose i(u) = 0. Calculate u.
-2, -1
Let c be 0*(-1 + -2 - -2). Suppose -16*z + 120 = 24*z. Find t, given that 4/11*t**2 + 2/11*t - 6/11*t**z + c = 0.
-1/3, 0, 1
Suppose -30 = -3*q - 120. Let b be (-48)/195 - 12/q. Let b*s**2 + 0*s - 2/13 = 0. Calculate s.
-1, 1
Determine d, given that -44*d - 2/3*d**2 + 272/3 = 0.
-68, 2
Suppose -17*a + 29*a = 38*a. Factor 0*d**2 - 1/3*d**5 + a + 0*d**3 + 0*d - 1/3*d**4.
-d**4*(d + 1)/3
Let v(p) be the first derivative of p**8/896 - p**7/336 + p**6/480 - 12*p**2 + 27. Let w(a) be the second derivative of v(a). Solve w(x) = 0.
0, 2/3, 1
Let c be (-5 - (-63)/12)/(13/78). Let c*b + 3/8 + 9/8*b**2 = 0. Calculate b.
-1, -1/3
Let a(s) = -s**4 - 21*s**3 + 32*s**2 - 2. Let o(g) = g**4 + 3*g**3 + g**2 - 1. Let n(q) = a(q) - 2*o(q). Factor n(z).
-3*z**2*(z - 1)*(z + 10)
Let -233 - 4*c**3 - 108*c**2 - 452*c - 220*c + 1017 = 0. Calculate c.
-14, 1
Let m(s) = 8*s**4 + 177*s**3 - 573*s**2 + 583*s - 192. Let v(t) = -t**4 + t**3 + t**2 - t - 1. Let w(y) = m(y) + 3*v(y). Solve w(o) = 0.
-39, 1
Let t be ((-13)/((-455)/56))/((-8)/(-10)). Solve 8/5 + 6/5*n**4 - 14/5*n**t + 2/5*n**5 + 0*n - 2/5*n**3 = 0.
-2, -1, 1
Let k(h) = -h**2 + 3*h. Let l be k(0). Suppose 4*c + c = l. Determine m so that -1/2*m**3 + c*m + 0 - 1/2*m**2 = 0.
-1, 0
Let k = 87410/9 - 9712. Determine r, given that 2/9*r**4 - 2/9*r**5 + 0*r + k*r**3 + 0 - 2/9*r**2 = 0.
-1, 0, 1
Let g(n) = 4*n**3 + 10*n**2 + 2*n - 2. Let t(d) = -13*d**3 - 31*d**2 - 7*d + 7. Let b(z) = -14*g(z) - 4*t(z). What is c in b(c) = 0?
-4, 0
Let c(p) be the second derivative of -27*p**6/20 + 279*p**5/40 - 137*p**4/12 + 7*p**3 - 2*p**2 + 17*p + 2. Let c(i) = 0. Calculate i.
2/9, 1, 2
Let a(g) be the third derivative of 5*g**8/1848 - 4*g**7/385 - 3*g**6/220 