*(l - 4)/7
Let b(j) be the first derivative of j**7/7560 - j**6/540 + j**5/90 - j**4/27 - 2*j**3/3 - 16. Let w(g) be the third derivative of b(g). Factor w(a).
(a - 2)**3/9
Determine g so that -2/7*g**2 + 4/7*g + 2/7 - 4/7*g**3 = 0.
-1, -1/2, 1
Let r = 53013 + -53011. Let o be ((-6)/16)/(3/(-2)). Factor -1/2*z + 1/4*z**3 + o*z**r + 0.
z*(z - 1)*(z + 2)/4
Let p(d) be the first derivative of d**4/3 + 2*d**3 - 8*d**2 + 2*d + 7. Let q(k) be the first derivative of p(k). Suppose q(b) = 0. What is b?
-4, 1
Let q(i) = 3*i + 2. Let v be q(0). Suppose -v - 5*g + 2 + 0 - 5*g**2 = 0. What is g?
-1, 0
Let r(u) be the first derivative of -40*u**4/7 + 208*u**3/21 - 37*u**2/7 + 8*u/7 + 135. Suppose r(m) = 0. What is m?
1/4, 4/5
Let r(y) be the second derivative of -3*y**6/50 - 177*y**5/100 + 11*y**4/10 + 4*y**3 + 7*y - 5. Let r(z) = 0. Calculate z.
-20, -2/3, 0, 1
Let z(x) be the third derivative of x**8/168 - x**7/105 - x**6/5 + 14*x**5/15 - 4*x**4/3 + 24*x**2 + 2. Factor z(t).
2*t*(t - 2)**2*(t - 1)*(t + 4)
Let g(y) be the second derivative of -y**7/231 + y**6/165 + 9*y**5/110 + y**4/6 + 4*y**3/33 - 52*y. What is u in g(u) = 0?
-1, 0, 4
Let 1/2*v + 35/4 - 1/4*v**2 = 0. Calculate v.
-5, 7
Let h(m) = 81*m**2 + 192*m + 111. Suppose -4*b - 4*p = -28, b - 2*p + 8 = -0*p. Let q(i) = -5*i**2 - 12*i - 7. Let x(t) = b*h(t) + 33*q(t). Solve x(l) = 0.
-3, -1
Let f be 416/(-182)*(-21)/4. Factor 14/9*p**5 - 30*p**2 + 38*p**3 + 0 - 122/9*p**4 - f*p.
2*p*(p - 3)**3*(7*p + 2)/9
Let s(w) be the second derivative of -w**8/784 + w**7/245 - w**6/280 - 13*w**2/2 + 28*w. Let z(l) be the first derivative of s(l). Let z(v) = 0. Calculate v.
0, 1
Suppose 0 = 658*t - 649*t - 54. Let i(b) be the second derivative of -1/5*b**5 - 1/15*b**t - 1/6*b**4 + 0 + 2*b + 0*b**3 + 0*b**2. Let i(n) = 0. What is n?
-1, 0
Let k(d) be the second derivative of d**5/5 + 5*d**4/3 + 4*d**3 - 4*d - 2. Factor k(w).
4*w*(w + 2)*(w + 3)
Let b(s) = 10*s**3 - 14*s**2 + 2*s + 2. Let f(q) = -q**5 + q**3 - q**2 + 2*q - 1. Let i(g) = b(g) + 2*f(g). Let i(c) = 0. Calculate c.
-3, 0, 1
Let l(i) be the first derivative of -3*i**4/32 + 77*i**3/8 - 285*i**2 + 1083*i/2 - 188. Factor l(q).
-3*(q - 38)**2*(q - 1)/8
Let r be 475/(-25) + 37 - 5/2. Let n(c) = -c**2 + 4*c - 1. Let w be n(3). Solve -1/2*m + 0 - 27/2*m**3 - 9/2*m**w - r*m**4 - 6*m**5 = 0.
-1, -1/3, -1/4, 0
Let v = -45 - -86. Let f = 23 + v. Factor 64*w - 87*w**3 - 8*w**5 - 9*w**3 + f*w**4 - 4*w**5.
-4*w*(w - 2)**3*(3*w + 2)
Suppose 0 = j - 0*u - 4*u, j + u - 5 = 0. Let d(o) = -8*o**2 - 12*o. Let t(h) = 7*h**2 + 12*h. Let a(m) = j*t(m) + 3*d(m). Factor a(s).
4*s*(s + 3)
Suppose 0 = i + 4*i + s + 58, 4*s = -5*i - 67. Let d(l) = -6*l**2 - 2*l + 10. Let u(v) = -31*v**2 - 9*v + 51. Let a(y) = i*d(y) + 2*u(y). Factor a(h).
4*(h - 1)*(h + 2)
Suppose -3*x - 2 = -0*v + v, 2*x - 5*v = 10. Suppose x*b + 20 = 4*b. Determine w so that 6*w**3 - 2*w**3 - 2*w**5 - 8*w**4 + 2*w**5 + 4*w**b = 0.
0, 1
Let d(f) be the first derivative of -3*f**6/8 - 57*f**5/20 - 63*f**4/8 - 21*f**3/2 - 57*f**2/8 - 9*f/4 + 22. What is w in d(w) = 0?
-3, -1, -1/3
Let u(l) = -30*l**4 - 935*l**3 + 1855*l**2 - 890*l - 35. Let q(n) = 5*n**4 + 156*n**3 - 309*n**2 + 148*n + 6. Let a(i) = -35*q(i) - 6*u(i). Factor a(v).
5*v*(v - 1)**2*(v + 32)
Suppose -75 = -5*i + 5*v, 0*v + 5*v = 2*i - 45. Let -27*d**5 - 23*d**5 + i*d**2 + 35*d**3 + 5*d**5 = 0. What is d?
-2/3, -1/3, 0, 1
Suppose -i = -5*o - 4*i + 28, -o + 4*i = -1. Factor -8*l**2 - o + 8 + 2*l + 7*l**2.
-(l - 3)*(l + 1)
Let t(w) be the first derivative of -w**6/6 - w**5/5 + w**4 + 4*w**3/3 - 182. What is a in t(a) = 0?
-2, -1, 0, 2
Let g be ((-6)/(-2))/1 - 2. Let y be (1/g)/((-2)/(-12)). Solve -y*o + o + 2 + o + 2*o**2 = 0.
1
Let q(j) = 76*j + 232. Let m be q(-3). Let v(s) be the third derivative of s**3 + 0*s + 6*s**2 + 0 + 1/3*s**m + 1/30*s**5. Suppose v(k) = 0. Calculate k.
-3, -1
Let a(d) = -5*d + 3. Let r be a(2). Let s be 10/4 - r/(-14). Suppose -3*y**s + y**2 - 15 + 17 = 0. What is y?
-1, 1
Let k(z) = -z**3 - 2*z**2 - 16*z - 32. Let a be k(-2). Let d(x) be the third derivative of -1/90*x**5 + a + 0*x**3 - x**2 + 0*x**4 + 0*x. Factor d(w).
-2*w**2/3
Let h(d) be the first derivative of -d**5/15 + 199*d**4/12 - 1474*d**3 + 50094*d**2 - 95832*d - 352. Find p such that h(p) = 0.
1, 66
Factor -94/7*a + 180/7 + 2/7*a**2.
2*(a - 45)*(a - 2)/7
Let w(l) be the second derivative of l**8/336 - l**7/28 + l**6/8 - 2*l**3 + 21*l. Let j(n) be the second derivative of w(n). Factor j(f).
5*f**2*(f - 3)**2
Let i = 13 + -10. Let -i*l**2 + 8*l**2 + 13*l - 38*l = 0. Calculate l.
0, 5
Let c(s) be the second derivative of -5*s + 1/20*s**6 + 3/40*s**5 + 0*s**3 + 0*s**2 + 0*s**4 + 0. Solve c(i) = 0.
-1, 0
Let m(o) = -22*o**2 + 126*o + 124. Let x(r) = 2*r**2 - r - 1. Let p(u) = -m(u) - 12*x(u). Suppose p(l) = 0. What is l?
-56, -1
Let m(d) be the third derivative of -d**6/900 - d**5/450 + d**4/36 - d**3/15 + 329*d**2. Factor m(r).
-2*(r - 1)**2*(r + 3)/15
Let b be 1598/51 + -24 - 12/(-2 - -4). Determine t so that 0 + b*t + 2/3*t**3 + 2*t**2 = 0.
-2, -1, 0
Factor -47*j**2 + 1/3 + 23*j + 71/3*j**3.
(j - 1)**2*(71*j + 1)/3
Let b = -42 - -42. Suppose -3*i + 3*f + 16 - 4 = b, i = 2*f + 5. What is r in 9/2 - 57/4*r + 15/4*r**i + 6*r**2 = 0?
-3, 2/5, 1
Solve 24*d + 42*d**5 + 6*d**2 - 212*d**4 + 15434*d**3 - 15680*d**3 + 26*d**2 = 0.
-1, -2/7, 0, 1/3, 6
Find h such that 19/4*h**3 + 35/2*h**2 - 24*h - 1/4*h**5 - h**4 - 72 = 0.
-4, -2, 3
Let b(r) be the third derivative of r**9/3024 - r**8/672 + r**6/72 - r**5/24 - r**4/3 - 19*r**2. Let y(a) be the second derivative of b(a). Factor y(w).
5*(w - 1)**3*(w + 1)
Let f be (2/3)/((-6)/(-45)). Let k be (1/(-2))/((-1)/6). Determine n so that -n**5 + n**k + n**f + 0*n**5 - n**5 = 0.
-1, 0, 1
Let a be ((-1408)/(-1760))/(3/(21 + 3)). Factor -36/5*u - a - 4/5*u**2.
-4*(u + 1)*(u + 8)/5
Factor 72/7 - 66/7*x - 2/7*x**3 + 20/7*x**2.
-2*(x - 4)*(x - 3)**2/7
Let k(y) be the third derivative of 0*y - 1/300*y**6 + 1/60*y**4 + 1/300*y**5 + 0 + 19*y**2 + 0*y**3 - 1/1050*y**7. Factor k(v).
-v*(v - 1)*(v + 1)*(v + 2)/5
Solve 0*z**2 - z**3 + 28*z - 25*z**2 + 4*z**2 + 4*z**2 + 5*z**2 = 0 for z.
-14, 0, 2
Let v = 2284 - 6848/3. Let y(n) be the first derivative of -v*n**3 + 1/2*n**4 - 1/6*n**6 + 2/5*n**5 - 1/2*n**2 + 2*n + 13. Let y(g) = 0. Calculate g.
-1, 1, 2
Let b(h) be the third derivative of -h**5/180 + h**4/12 + 7*h**3/18 - 300*h**2. Determine p so that b(p) = 0.
-1, 7
Let u be (-3)/(-12)*0/(-2). Factor i**4 - 6*i**2 - 3*i + u*i**3 + 0*i**3 + 5*i**4 + 3*i**5.
3*i*(i - 1)*(i + 1)**3
Suppose 2*l**4 - 16/5*l**2 - 2/5*l**3 - 1/5*l + 3/5*l**5 + 6/5 = 0. What is l?
-3, -1, 2/3, 1
Let t(h) = 12*h**3 - 31*h**2 + 115*h - 160. Let k(x) = -14*x**3 + 32*x**2 - 116*x + 162. Let r(v) = 5*k(v) + 6*t(v). Factor r(j).
2*(j - 5)**2*(j - 3)
Let t be (-4)/46 - (-102986)/75026. Suppose 0 + 4/7*c + 20/7*c**2 + t*c**3 = 0. What is c?
-2, -2/9, 0
Suppose -8 = -2*m - 3*f, 5*m + f - 20 = 3*f. Factor 9*k**4 + 0*k**5 - 5*k**5 - 4*k**3 + 7*k**5 - 11*k**m.
2*k**3*(k - 2)*(k + 1)
Factor 164/7 + 4/7*y**2 + 24*y.
4*(y + 1)*(y + 41)/7
Let z be -25 - (-10 - 22) - (-2 - (-45)/6). Determine o so that 0 - z*o + 21/4*o**2 - 9/4*o**3 = 0.
0, 1/3, 2
Let m(f) be the third derivative of 11*f - 9/2*f**3 + 3/4*f**4 + f**2 + 0 - 1/20*f**5. Let m(a) = 0. Calculate a.
3
Let 120*q - 21 - 4 - 33*q**2 + 5*q**3 - 2*q**3 - 101 - 18 = 0. Calculate q.
3, 4
Let x be 12/4 - (-4 + -1). Factor -2*w**2 + 10*w - 10*w + x.
-2*(w - 2)*(w + 2)
Let n(t) be the third derivative of -19*t**2 - 8/315*t**7 - 4/45*t**5 + 2*t + 1/252*t**8 + 1/18*t**4 + 0*t**3 + 0 + 1/15*t**6. Determine q, given that n(q) = 0.
0, 1
Let k be 1133/4620 - (-3)/15*-2. Let a = 5/28 - k. Factor d + a*d**2 + 0.
d*(d + 3)/3
Factor -44/5 - 2/5*r**2 - 26/5*r.
-2*(r + 2)*(r + 11)/5
Factor 2*q + 29*q - 2*q**2 - 3042 + 33*q + 92*q.
-2*(q - 39)**2
Let u(p) = 95*p + 287. Let f be u(-3). Suppose -2/5 - 3/5*x**3 + 3/5*x + 1/5*x**4 + 1/5*x**f = 0. What is x?
-1, 1, 2
Let z = -5884 + 5887. Suppose -5/6*x**3 - 4/3 - 2*x + z*x**2 = 0. Calculate x.
-2/5, 2
Suppose 9*w - 12 = 6*w. Suppose -w*y + 12 = 4. Determine o, given that 0*o + 0 - 2/5*o**y + 4/5*o**3 + 6/5*o**4 = 0.
-1, 0, 1/3
Let v = 9/61 - -3/1220. Let m(w) be the first derivative of 0*w - 1/25*w**5