ive of 0*d**2 + 0*d - 4/21*d**3 - 1/14*d**4 + 29. Factor y(g).
-2*g**2*(g + 2)/7
Let w(r) be the second derivative of r**4/24 + r**3/4 + 8*r - 1. Solve w(l) = 0 for l.
-3, 0
Let g = -17 - -19. Let o be (-1 + 3/g)/(36/54). Factor 5/4*z**3 - 1/2*z + 0 + o*z**2.
z*(z + 1)*(5*z - 2)/4
Let c = 8 + -5. Suppose 1600 = 10*h + 10*h. Factor -4*d**3 + 28 + 36*d**2 + 0*d**c + h - 95*d - 13*d.
-4*(d - 3)**3
Let k(v) be the second derivative of v**5/120 - v**4/8 + 5*v**3/9 - v**2 + 730*v - 2. Factor k(m).
(m - 6)*(m - 2)*(m - 1)/6
Let -25*a**5 - 60*a + 5*a**2 + 91*a**3 + 36*a**3 - 20 + 15*a**4 + 41*a**3 - 83*a**3 = 0. Calculate a.
-1, -2/5, 1, 2
Let y(o) = o**3 - 8*o**2 - 7*o - 13. Let a be y(9). Let z be a/((-10)/(-4))*4. Factor -4*k**2 - 3*k**3 + z*k - k**2 + 5*k**3 - 3*k**2.
2*k*(k - 2)**2
Suppose 3*p + 13 = g, 9 = 2*p - 5*p + 3*g. Let n(d) = d**3 + 3*d**2 - 11*d - 2. Let l be n(p). Factor 3/7*a**l - 3/7*a**2 - 9/7 - 15/7*a.
3*(a - 3)*(a + 1)**2/7
Let n(m) = -m**3 + 7 - 2*m + 0*m**3 + 17*m - 7*m**3. Let p(v) = 25*v**3 - 45*v - 20. Let z(t) = -10*n(t) - 3*p(t). Solve z(w) = 0.
-1, 2
Let y(m) = m**3 + 3*m - 1. Let w(z) = 3*z**4 + 166*z**3 + 2802*z**2 + 12594*z + 16877. Let j(a) = -w(a) - 2*y(a). Find r such that j(r) = 0.
-25, -3
Let d = -29 - -31. Suppose 7*y - d*k - 11 = 4*y, -2*y + 5 = k. Solve -y*w**3 + 3/2*w**2 - 21/2*w**4 + 0 + 0*w - 6*w**5 = 0.
-1, 0, 1/4
Suppose 10 = 4*d - l, -2*d + 2*l - 1 = -d. Find s such that -10*s**2 + d*s**2 - 4*s - 3*s**2 + 2*s**2 - 4*s**3 = 0.
-1, 0
Let s = -143 + 146. Suppose 4*v - 15 = -f, 3*f = -s*v + 14 + 4. Solve 0*p - 2/9*p**v + 8/9 - 2/3*p**2 = 0.
-2, 1
Let f = -10 + 13. Suppose -5*v = 5*h - 2 - f, -5*h = 3*v - 1. Solve -2/7 + 4/7*o**v - 2/7*o = 0.
-1/2, 1
Let u(b) be the third derivative of b**8/8736 + b**7/8190 - b**6/234 - 2*b**5/195 + 7*b**4/24 + 23*b**2. Let i(j) be the second derivative of u(j). Factor i(v).
2*(v - 2)*(v + 2)*(5*v + 2)/13
Let l(z) be the second derivative of z**6/540 + z**5/60 + 13*z**3/3 + 7*z. Let o(u) be the second derivative of l(u). Let o(n) = 0. What is n?
-3, 0
Let p = -3184 + 3186. Suppose 3*z + 5*u - 2 = 0, z + u - 4 = -2. Solve -6/5*a**2 - 18/5*a + 0 + p*a**3 - 2/5*a**z = 0.
-1, 0, 3
Let y(p) be the second derivative of p**8/4200 - p**7/1050 + p**5/150 - p**4/60 + p**3/6 - 43*p. Let l(o) be the second derivative of y(o). Factor l(f).
2*(f - 1)**3*(f + 1)/5
Let 0 + 2/7*j**5 + 30/7*j**3 - 2*j**4 - 26/7*j**2 + 8/7*j = 0. What is j?
0, 1, 4
Let g be (-9)/(-21) - (-2 - (-1136)/(-28)). Solve -107*l - 5*l**2 + 34*l + g*l + 10*l**3 = 0.
-3/2, 0, 2
Let t = 72 + -72. Let c(b) be the third derivative of 0*b**3 + 0*b - 1/48*b**4 + t + b**2 + 1/120*b**5. Find y such that c(y) = 0.
0, 1
Let g(m) = 17*m**2 + 92*m + 6. Let i(z) = -69*z**2 - 369*z - 21. Let c(v) = -21*g(v) - 5*i(v). Solve c(t) = 0 for t.
-7, -1/4
Let g = 74/219 - 1/219. Let a(n) be the first derivative of 0*n + 1/2*n**4 + 0*n**3 + 0*n**2 + g*n**6 + 4/5*n**5 - 5. Determine u so that a(u) = 0.
-1, 0
Let p(b) = 3*b**2 + 0 - 8 - 1 - 8*b. Let u(x) = -15*x**2 + 41*x + 45. Let m(d) = 11*p(d) + 2*u(d). Factor m(n).
3*(n - 3)*(n + 1)
Let d(b) be the third derivative of 25*b**8/1176 - 41*b**7/147 + 199*b**6/420 + 127*b**5/30 + 20*b**4/3 + 100*b**3/21 - 6*b**2 + 5*b. Let d(f) = 0. Calculate f.
-1, -2/5, 5
Suppose -36 + 52 = 4*b. Let t(u) be the first derivative of 0*u + 2/3*u**3 - 5 - 6/5*u**5 + 2*u**2 - 2*u**b. Suppose t(v) = 0. Calculate v.
-1, 0, 2/3
Let m = -15 + 9. Let s = 12 + m. Solve -20*f**3 + s + 8*f + 21*f**2 - 15 - 25*f**4 + 13 + 12*f = 0 for f.
-1, -2/5, 1
Let h(k) = k**2 - 10*k + 5. Let w be h(10). Suppose -2*r - 1 = -2*c + 3, w*c - 16 = 2*r. Factor 14*f**4 + r*f**2 - f**2 - 8*f**5 - 2*f**4 - 5*f**2.
-4*f**2*(f - 1)**2*(2*f + 1)
Let k(a) be the second derivative of a**4/20 - 2*a**3 + 57*a**2/10 + 128*a. Suppose k(w) = 0. What is w?
1, 19
Let p(z) be the first derivative of -3/4*z**3 + 0*z + 3 + 0*z**2 - 3/16*z**4. Find j, given that p(j) = 0.
-3, 0
Factor -14/5*v + 6*v**2 + 0 + 2/5*v**4 - 18/5*v**3.
2*v*(v - 7)*(v - 1)**2/5
Let p(d) be the second derivative of d**8/1008 - d**7/630 - d**6/360 + d**5/180 + 5*d**2 + 7*d. Let a(i) be the first derivative of p(i). Factor a(u).
u**2*(u - 1)**2*(u + 1)/3
Let j(p) be the third derivative of -p**5/15 - 5*p**4/3 + 20*p**2 + p. Solve j(m) = 0.
-10, 0
Let w be 22/(-8) + 3 - (-7)/(-60). Let o(u) be the second derivative of -3/100*u**5 + 0 + 0*u**2 - 3*u + 7/30*u**7 + 1/3*u**4 - 7/15*u**6 + w*u**3. Factor o(s).
s*(s - 1)**2*(7*s + 2)**2/5
Let h = 33752/15 - 2250. Let u(f) be the second derivative of -5/18*f**3 - 10*f + 0 - 1/6*f**2 - 1/18*f**4 + h*f**5. Suppose u(g) = 0. Calculate g.
-1/2, -1/4, 1
Let r(c) be the second derivative of c**5/120 + 5*c**4/72 + 2*c**3/9 + c**2/3 + 8*c - 33. Factor r(d).
(d + 1)*(d + 2)**2/6
Let w(o) = -7*o**4 + 7*o**3 - 3*o**2 - 2*o - 5. Let t(v) = -22*v**4 + 22*v**3 - 10*v**2 - 6*v - 16. Let a(n) = -5*t(n) + 16*w(n). What is x in a(x) = 0?
-1, 0, 1
Suppose b = 2*r - 24, 4*r + 2*b - 20 = -3*b. Suppose -3*d - 22 = -5*i, 6*i + 4*d + r = 3*i. Factor 8*w + w**3 - 5*w**i - 2*w**3 - 3 + 2*w**3 - w.
(w - 3)*(w - 1)**2
Let m(s) be the third derivative of -s**6/1140 + 11*s**5/570 - 35*s**4/228 + 25*s**3/57 - 3*s**2 - 36. Factor m(d).
-2*(d - 5)**2*(d - 1)/19
Let r(y) be the first derivative of 3*y**5/5 + 6*y**4 + 23*y**3 + 42*y**2 + 36*y - 87. Factor r(z).
3*(z + 1)*(z + 2)**2*(z + 3)
Let m(r) be the first derivative of -6 + 2/135*r**6 + 0*r**2 + 1/10*r**5 + 4*r + 2/9*r**4 + 4/27*r**3. Let q(c) be the first derivative of m(c). Factor q(a).
2*a*(a + 2)**2*(2*a + 1)/9
Let i be 4 + (-284)/12*12/80. Let c(u) be the third derivative of 0*u**3 + 0*u - 2*u**2 + 0 - 1/4*u**4 + i*u**5. Factor c(j).
3*j*(9*j - 2)
Let u(n) = -32*n**2 - 144*n - 239. Let a(l) = -6*l**2 - 28*l - 48. Let v(p) = 11*a(p) - 2*u(p). Suppose v(x) = 0. Calculate x.
-5
Let i(o) be the first derivative of o**5/25 + 4*o**4/15 + 2*o**3/5 - 32*o - 38. Let r(u) be the first derivative of i(u). Suppose r(l) = 0. What is l?
-3, -1, 0
Let a(n) be the first derivative of -13 + 1/15*n**3 + 2/5*n - 3/10*n**2. Find f, given that a(f) = 0.
1, 2
Let a(q) = q**2 - q + 3. Let o be a(0). Suppose 0*m + m = o*m. Factor 1/6*b + m + 1/6*b**2.
b*(b + 1)/6
Let z = 37 + -35. Factor 31*o - 63*o + 27*o + o**3 - 4*o**z.
o*(o - 5)*(o + 1)
Let v = -39 - -42. Factor -291*i**4 - 4*i**5 + 289*i**4 + 2*i**2 + 7*i**5 - 5*i**v + 2*i**3.
i**2*(i - 1)*(i + 1)*(3*i - 2)
Let k be (6/48*0)/((-12)/(-3)). Solve 0*c + 0 + k*c**2 + 1/5*c**4 + 2/5*c**3 = 0 for c.
-2, 0
Let c be (740/(-6))/(13/6 - 1). Let i = c - -106. Factor -4/7*t + 0*t**2 + 4/7*t**3 - i + 2/7*t**4.
2*(t - 1)*(t + 1)**3/7
Let s be (1224/66)/3 + (-4)/22. Let c(q) = q - 4. Let z be c(s). Factor 8/9*k**z + 8/9*k + 2/9.
2*(2*k + 1)**2/9
Let t(g) = 2*g**2 - 10*g + 9. Let r(i) = -2*i**2 + 12*i - 6. Let c(q) = 3*r(q) + 2*t(q). Determine p, given that c(p) = 0.
0, 8
What is y in -12/13*y - 2/13*y**2 - 10/13 = 0?
-5, -1
Suppose -12 = -116*l + 276 + 176. Factor 0*m + 4*m**3 + 0 + 5*m**l + 4/5*m**2.
m**2*(5*m + 2)**2/5
Solve 9/5*q + 1/5*q**2 + 0 = 0.
-9, 0
Let o be (-3)/(-2)*(-644)/(-21). Find t such that 2000*t - 5*t**4 + 6*t**4 + 3*t**4 + 2500 + o*t**3 + 600*t**2 + 34*t**3 = 0.
-5
Suppose 5*i + 10 = 5*h, -2*i + 6*i = 3*h - 4. Let x(s) be the first derivative of 1/14*s**4 - 2/7*s + h + 2/21*s**3 - 1/7*s**2. Factor x(w).
2*(w - 1)*(w + 1)**2/7
Let p(j) be the second derivative of j**7/280 + j**6/24 + 3*j**5/40 - 9*j**4/8 - 2*j**3 - 3*j. Let i(t) be the second derivative of p(t). Factor i(l).
3*(l - 1)*(l + 3)**2
Let x(r) be the third derivative of r**5/540 - 10*r**4/27 + 398*r**2. What is q in x(q) = 0?
0, 80
Factor -7/4*z**2 + 3/2*z + 0 + 1/2*z**3.
z*(z - 2)*(2*z - 3)/4
Factor 33/2*i + 1/2*i**3 - 5*i**2 - 18.
(i - 4)*(i - 3)**2/2
Let u be (((-70)/(-49))/(-1))/((-50)/84). Factor -u + 2/5*l**2 - 2/5*l.
2*(l - 3)*(l + 2)/5
Let y(s) be the second derivative of -49*s**5/10 - 385*s**4/6 - 800*s**3/3 - 500*s**2 - 52*s. Find g such that y(g) = 0.
-5, -10/7
Let 1/7*l**2 + 2704/7 - 104/7*l = 0. Calculate l.
52
Let k = -801/187 + 51/11. Let j = k + 104/187. Factor -6/11*f**3 - j*f**2 - 4/11*f + 0.
-2*f*(f + 1)*(3*f + 2)/11
Let j(m) = m**2 - 1. Let d(u) = -10*u**2 + u + 9. Suppose 2*b - 4 = -4*l + 8, -2*l =