actor w(h).
5*h**2
Let g(w) = w**2 + 4*w. Let j be g(-5). Suppose r = 1, 6 = m - j*r - 21. Find k such that -3*k**2 - 20*k**4 - m*k**3 + 4*k - k**2 + 4*k = 0.
-1, 0, 2/5
Suppose -169*m + 166*m + 9 = 0. Let r(i) be the first derivative of -1/6*i**m + 1/16*i**4 + 3 + 0*i + 0*i**2 + 1/20*i**5. Factor r(k).
k**2*(k - 1)*(k + 2)/4
Let x(c) be the second derivative of -c**6/120 + c**5/20 - 2*c**3/3 + 2*c**2 + 92*c + 1. Let x(u) = 0. What is u?
-2, 2
Suppose 0 - 1/2*m + 1/4*m**2 = 0. What is m?
0, 2
Let j(m) be the first derivative of 10*m**5/7 - 45*m**4/14 + 16*m**3/7 - 4*m**2/7 - 114. Find d, given that j(d) = 0.
0, 2/5, 1
Suppose 0*r = -6*r + 36. Let c(j) = -25*j**2 - 27*j + 23. Let o(s) = 13*s**2 + 13*s - 12. Let g(a) = r*c(a) + 11*o(a). Solve g(d) = 0 for d.
-3, 2/7
Let p = 1/331 + 2977/662. Let q(s) be the first derivative of -6*s - s**3 + p*s**2 - 1. Let q(g) = 0. Calculate g.
1, 2
Let a(i) = 3*i**2 + 7*i + 10. Let f be a(-4). Let n be 1*-5*(-19)/5. Determine j so that -15*j**4 + n - 20*j + 21 + 65*j**3 - f*j**2 - 40*j**2 = 0.
-2/3, 1, 2
Let k(c) = -c. Let r(q) = -2*q**2 - 6*q - 5. Let d(z) = -k(z) - r(z). Let p = 22 - 32. Let j(w) = -w**2 - 4*w - 3. Let v(y) = p*j(y) - 6*d(y). Factor v(i).
-2*i*(i + 1)
Let q(d) = d**2 + 19*d - 17. Let o be q(-20). Let r(w) be the first derivative of -2*w**2 - 6 + 0*w**4 + 2*w**o + 0*w - 2/5*w**5. Factor r(b).
-2*b*(b - 1)**2*(b + 2)
Let w(u) be the first derivative of -35*u**4/4 + 50*u**3 - 90*u**2 + 40*u + 67. Factor w(l).
-5*(l - 2)**2*(7*l - 2)
Factor 2/5*f**3 + 2/5*f + 8/5*f**2 - 12/5.
2*(f - 1)*(f + 2)*(f + 3)/5
Let i = -75 - -55. Let a be ((-24)/100)/(6/i). Factor 0 + 2/5*p**4 + a*p**3 + 0*p + 2/5*p**2.
2*p**2*(p + 1)**2/5
Let d(x) be the third derivative of -x**5/300 + 43*x**4/120 + 22*x**3/15 + x**2 - 134*x. Factor d(q).
-(q - 44)*(q + 1)/5
Let c(b) be the third derivative of 0*b - 8*b**2 - 1/60*b**6 - 1/105*b**7 + 1/10*b**5 + 0 - 2/3*b**3 + 1/12*b**4. Suppose c(d) = 0. What is d?
-2, -1, 1
Suppose -10*s + 12 = -4*s. Factor r**2 + r**2 - 1 - 6*r - 5*r**2 - s.
-3*(r + 1)**2
Let f(u) = 13*u**2 - 9*u - 11. Let v(w) be the first derivative of 7*w**3/3 - 5*w**2/2 - 6*w + 8. Let k(i) = 6*f(i) - 11*v(i). Factor k(m).
m*(m + 1)
Let z(l) be the third derivative of l**8/20160 - l**7/1008 + l**6/120 + l**5/15 - 36*l**2. Let w(t) be the third derivative of z(t). Factor w(a).
(a - 3)*(a - 2)
Let o(q) be the third derivative of -q**7/945 + q**6/135 - q**5/54 + q**4/54 + 23*q**2. Suppose o(k) = 0. Calculate k.
0, 1, 2
Let r(n) = -2*n**3 - 27*n**2 - 72*n - 73. Let q(g) = 5*g**3 + 58*g**2 + 144*g + 145. Let x(o) = 3*q(o) + 7*r(o). Determine z, given that x(z) = 0.
-2, 19
Let k(u) be the first derivative of u**6/1080 - u**5/180 - 13*u**3/3 - 8. Let x(i) be the third derivative of k(i). Factor x(v).
v*(v - 2)/3
Suppose 8*k = 13*k - 20. Factor -7*u - u**2 + 4*u - 5*u**k - 8*u**3 + 5*u.
-u*(u + 1)**2*(5*u - 2)
Let w be 66/12 - 5 - 35/(-2). Suppose 21*r - 2*r**2 + 7*r**2 - 2*r**2 - 6*r**2 - w = 0. Calculate r.
1, 6
Let d = -1961 + 1973. Suppose -d*m**2 + 6*m**4 + 3/2*m + 6 - 3*m**3 + 3/2*m**5 = 0. What is m?
-4, -1, 1
Let k = -1015 + 1018. Factor -1/2*o**2 + 0 + 1/2*o + 1/8*o**k.
o*(o - 2)**2/8
Factor -39*i - 33*i + 82*i**3 - 32*i**3 - 23*i - 10 + 55*i**2.
5*(i - 1)*(i + 2)*(10*i + 1)
Let 8*u - 4*u**3 + 3*u**4 - 6*u**2 + 8 + 3*u**4 + 5*u**4 - 9*u**4 = 0. What is u?
-1, 2
Let q = 35 - 279/8. Let x(v) be the first derivative of -1/20*v**5 + 0*v - q*v**4 + 4 + 1/12*v**3 + 1/4*v**2. Factor x(l).
-l*(l - 1)*(l + 1)*(l + 2)/4
Let d = 62 - -28. Let i be (3/4)/(d/160). Let h**2 + 0*h + 1/3*h**3 - i = 0. Calculate h.
-2, 1
Let q(z) be the second derivative of -z**8/252 - 2*z**7/105 - z**6/45 + 3*z**2/2 + 15*z. Let c(y) be the first derivative of q(y). Factor c(u).
-4*u**3*(u + 1)*(u + 2)/3
Let m(v) be the third derivative of v**6/40 + 21*v**5/20 + 135*v**4/8 + 243*v**3/2 + 80*v**2. Factor m(l).
3*(l + 3)*(l + 9)**2
Solve -9*n - 27*n + 44*n + 2*n**2 = 0.
-4, 0
Let p(o) be the second derivative of 5*o**4/24 + 115*o**3/12 + 105*o**2/2 + o + 16. Factor p(t).
5*(t + 2)*(t + 21)/2
Let z(o) be the third derivative of -o**8/2520 + o**7/1575 + o**6/450 - 162*o**2. Factor z(u).
-2*u**3*(u - 2)*(u + 1)/15
Suppose 0 = 4*c - 11 - 13. Factor -21*z**3 - 21*z**2 + 3*z + 5*z**5 + 4*z**4 + c + z**5 - z**4 + 0*z**3.
3*(z - 2)*(z + 1)**3*(2*z - 1)
Let n(w) be the first derivative of 16*w**5/5 - 27*w**4 + 100*w**3/3 + 144*w**2 + 64*w - 663. Determine a so that n(a) = 0.
-1, -1/4, 4
Let x be 24/(-42) + 138/21 - 4. Factor 2*b**x - 16/3 - 20/3*b.
2*(b - 4)*(3*b + 2)/3
Suppose -5*w + 9*t - 30 = 4*t, -2*t = 0. Let l be (-8 - -5)/w + -2 + 2. Suppose 0*h**3 + 0 + 1/4*h**4 + l*h - 3/4*h**2 = 0. Calculate h.
-2, 0, 1
Let a be -12*15/(-810)*1/1. Find i, given that 2/9*i**2 - 4/9*i + a = 0.
1
Suppose -27 - 27*r**2 + 51 - 7*r - 24 + 4*r**3 = 0. Calculate r.
-1/4, 0, 7
Determine m, given that -7*m**2 + 60*m**2 - 84*m - 12*m**4 + 24*m**3 - 4*m**5 - 13*m**2 + 36 = 0.
-3, 1
Suppose -4 + 12 = o. Suppose 0 = 11*s - o*s - 15. Factor -4*h + 2*h + h**2 + s*h.
h*(h + 3)
Let y be (((-103)/1545)/((-5)/294))/(1/5). Find z such that 408/5*z**2 - 92/5*z**3 + y - 84*z + 6/5*z**4 = 0.
1/3, 1, 7
Let h(n) = n**4 + n**4 - n - 3*n**4. Let g(p) = p**5 + 18*p**4 + 35*p**3 + 25*p**2 + 7*p. Let q(m) = 2*g(m) + 14*h(m). Factor q(k).
2*k**2*(k + 1)*(k + 5)**2
Factor -23*r + 1/3*r**2 - 70/3.
(r - 70)*(r + 1)/3
Let a(v) be the first derivative of 7*v**6/180 - 2*v**5/15 + v**4/12 + 38*v**3/3 + 37. Let i(c) be the third derivative of a(c). Factor i(d).
2*(d - 1)*(7*d - 1)
Let g(x) = 9*x**2 + 390*x + 7605. Let t(u) = -8*u**2 - 390*u - 7605. Let h(b) = -3*g(b) - 4*t(b). Solve h(s) = 0.
-39
Let q(g) be the first derivative of -g**6/6 + 3*g**5/2 - 15*g**4/4 + 10*g**3/3 + 3*g - 2. Let f(j) be the first derivative of q(j). Factor f(n).
-5*n*(n - 4)*(n - 1)**2
Let m = -410774 - -571386342/1391. Let t = -6/107 - m. What is y in 2/13*y**2 + 4/13*y + t = 0?
-1
Let k(t) be the first derivative of 14*t**6/3 + 36*t**5/5 - 19*t**4 - 164*t**3/3 - 48*t**2 - 16*t + 170. Suppose k(d) = 0. Calculate d.
-1, -2/7, 2
Let s be 20/24 - 8/(-4*12). Let x(y) be the first derivative of -s + 6/11*y**2 + 18/11*y + 2/33*y**3. Suppose x(t) = 0. Calculate t.
-3
Let k(r) be the first derivative of -r**8/1176 + r**6/420 - 6*r**2 - 2. Let j(p) be the second derivative of k(p). Factor j(h).
-2*h**3*(h - 1)*(h + 1)/7
Let r = 1286/3 + -422. Let t(u) be the first derivative of -108/5*u**5 + u**2 + 0*u + 9*u**6 + 18*u**4 - r*u**3 + 4. Factor t(y).
2*y*(y - 1)*(3*y - 1)**3
Let r = 171 - 153. Factor 1364*w**2 - 10 + r*w - 1369*w**2 - 3*w.
-5*(w - 2)*(w - 1)
Let c(y) = 20*y**2 + 85*y + 85. Let n(z) = 35*z**2 + 170*z + 171. Let m(s) = -9*c(s) + 5*n(s). What is a in m(a) = 0?
-1, 18
Let f(d) = 163*d - 323. Let r be f(2). Suppose 2/7*m**2 - 2/7 + 2/7*m**r - 2/7*m = 0. Calculate m.
-1, 1
Let w(o) = o**2 + 10*o + 12. Let z be w(-9). Let r = 23 - 21. What is i in -2*i**r - 5*i**3 + 4*i**z - 2*i**3 = 0?
-2/3, 0
Let g(t) = -16*t**3 + 8*t**2 + 16*t - 4. Let f(p) = -p**2. Let a = 8 - 12. Let q(o) = a*f(o) - g(o). Factor q(k).
4*(k - 1)*(k + 1)*(4*k - 1)
Let k(u) be the first derivative of -u**3 + 3*u**2 - 3*u + 25. Factor k(b).
-3*(b - 1)**2
Determine a, given that 0 - 2/5*a**4 - 104/5*a**3 + 0*a**2 + 0*a = 0.
-52, 0
Factor -41*c**2 + 110*c**2 - 65*c**2 + 108 - 112*c.
4*(c - 27)*(c - 1)
Let s(z) be the third derivative of 1/570*z**5 + 1/285*z**7 + 0*z - 1/76*z**4 + 31*z**2 + 0 + 11/1140*z**6 + 0*z**3. Factor s(m).
2*m*(m + 1)**2*(7*m - 3)/19
Factor -12/5*j**2 + 0 + 23/10*j + 1/10*j**3.
j*(j - 23)*(j - 1)/10
Suppose -4*z - 627 + 639 = 0. Let s(f) be the first derivative of 0*f + z - 1/4*f**2 - 1/18*f**3. Factor s(d).
-d*(d + 3)/6
Let g = 70 - 68. Suppose 0 = 3*r + h - 6, h + 7 = 5*r - 3. Let -a**r + 0*a**g + 6*a - 2*a**2 = 0. Calculate a.
0, 2
Let i(a) = -a**2 - 7*a + 5. Let d be i(-7). Find u such that -u**d - 7*u**4 + 7*u**4 = 0.
0
Let y(g) be the second derivative of g**6/150 + 3*g**5/10 + 13*g**4/5 + 148*g**3/15 + 96*g**2/5 + 147*g. What is n in y(n) = 0?
-24, -2
Let h be 114/12 - 4/((-16)/(-36)). Factor -1/2*r**2 + 0 + 1/2*r**3 - h*r + 1/2*r**4.
r*(r - 1)*(r + 1)**2/2
Let i(o) = -4*o**4 - 7*o**3 - 21*o**2 - 28*o - 4. Let b(h) = 11*h**4 + 