 -2*g = -h - 0*h + 13, g = h - w. Solve 11*y**2 - h*y**3 - 5*y**2 + 15*y**4 + 2*y**3 = 0.
0, 2/5, 1
Let s(a) be the third derivative of 0 + 1/300*a**6 + 2*a**2 + 4/75*a**5 + 4/15*a**4 + 0*a + 0*a**3. Factor s(f).
2*f*(f + 4)**2/5
Let p(x) be the first derivative of 0*x**3 + 1/70*x**5 - 4 - 6*x + 1/210*x**6 + 1/84*x**4 + 0*x**2. Let i(h) be the first derivative of p(h). Factor i(t).
t**2*(t + 1)**2/7
Let p be (13/(-5) - -3) + (-224)/(-240). Factor -p*r**2 + 4/3 - 4/3*r**3 + 4/3*r.
-4*(r - 1)*(r + 1)**2/3
Let k(z) be the third derivative of -5*z**8/112 - 29*z**7/42 - 29*z**6/24 + 193*z**5/12 - 35*z**4 + 30*z**3 - 364*z**2. Suppose k(u) = 0. What is u?
-6, 1/3, 1
Suppose -3*t + 66 + 12 = 0. Let l be (5 - t/10)/2. Factor l*h + 4/5 + 2/5*h**2.
2*(h + 1)*(h + 2)/5
Factor -8 + j**2 + 19 + 21 + 8 - 3 + 38*j.
(j + 1)*(j + 37)
Let l(h) = -h**2 + 7*h - 8. Let t be l(6). Let x be (t/10)/((-16)/16). Find f such that 1/5*f**2 + 0*f + 0 - x*f**3 = 0.
0, 1
Let o be 66/44*8/6. Suppose -o*l + 96 = l. Factor -a**2 - l*a + 5*a**2 + 111 - 47.
4*(a - 4)**2
Let w(b) be the third derivative of b**7/1890 - b**6/216 + b**5/90 + b**2 + 60. Factor w(q).
q**2*(q - 3)*(q - 2)/9
Let m(t) be the first derivative of -t**4 + 4*t**3/3 + 34*t**2 + 60*t - 152. Factor m(v).
-4*(v - 5)*(v + 1)*(v + 3)
Let k be (-10)/(-18) + (-522)/162 + 3. Let n(a) be the first derivative of -2 + 2/45*a**3 + 4/5*a - k*a**2. Let n(r) = 0. What is r?
2, 3
Let m(t) be the third derivative of -7*t**5/150 - 209*t**4/60 + 2*t**3 + 926*t**2. Factor m(o).
-2*(o + 30)*(7*o - 1)/5
Let v(g) be the first derivative of -21*g**3/4 - 69*g**2/8 - 3*g/2 + 55. Factor v(x).
-3*(x + 1)*(21*x + 2)/4
Let c be -12 + (-60)/(-16 - -12). Solve 0*s**2 - 1/2*s + 1/2*s**c + 0 = 0.
-1, 0, 1
Let q(d) be the second derivative of 3/20*d**5 - 1/30*d**6 + 1/12*d**4 - 9*d + 0 - 1/42*d**7 - 1/3*d**3 + 0*d**2. Find k such that q(k) = 0.
-2, -1, 0, 1
Let w(s) be the second derivative of -3/40*s**5 + 0 - 3*s**2 - 9/8*s**4 + 1/20*s**6 + 2*s - 11/4*s**3. Factor w(n).
3*(n - 4)*(n + 1)**3/2
Let t(u) = u**2 + 16*u + 6. Let w be t(-16). Factor 12*d**4 + 9*d**3 + w*d**3 - 465*d**5 + 462*d**5.
-3*d**3*(d - 5)*(d + 1)
Let o = -56344 + 56346. Factor 1/2*z**4 - 18 - 6*z + 6*z**3 + 35/2*z**o.
(z - 1)*(z + 1)*(z + 6)**2/2
Let n(r) be the second derivative of 5*r**4/36 + 665*r**3/18 + 110*r**2 + 7*r - 6. What is u in n(u) = 0?
-132, -1
Let s be (-8)/64*-2446 + -4 + 2. Let n = 306 - s. Determine p, given that 5*p**3 - 3*p**4 + 1/2 - n*p**5 - 11/4*p + 5/2*p**2 = 0.
-2, -1, 1/3, 1
Let n(o) = 2*o**5 - 11*o**4 + 46*o**2 + 77*o + 45. Let h(d) = -3*d**5 + 20*d**4 - 90*d**2 - 155*d - 91. Let z(r) = -6*h(r) - 10*n(r). Let z(c) = 0. Calculate c.
-2, 3
Let a(h) be the first derivative of -h**5 - 15*h**4/4 + 10*h**2 + 145. Factor a(n).
-5*n*(n - 1)*(n + 2)**2
Let y(t) be the first derivative of 0*t - 1/48*t**4 + 5 - 11/3*t**3 + 1/2160*t**6 + 0*t**2 - 1/360*t**5. Let x(h) be the third derivative of y(h). Factor x(v).
(v - 3)*(v + 1)/6
Let l(t) = 13*t**4 + 2*t**3 - 6*t**2 + 12*t - 7. Let z(r) = -2*r**4 - r**3 + r**2 - r + 1. Let i(y) = 2*l(y) + 14*z(y). Factor i(q).
-2*q*(q - 1)*(q + 1)*(q + 5)
Let k be (-4)/(-6) + (-5)/(14280/24773). Let s = k - -65/8. Find u such that 2/17*u + s*u**4 + 2/17*u**5 + 2/17 - 4/17*u**2 - 4/17*u**3 = 0.
-1, 1
Let -2 - 136*k**4 + 134*k**4 + 2*k + 4*k + 6 - 6*k**3 - 2*k**2 = 0. Calculate k.
-2, -1, 1
Let q(x) = x**3 - 8*x**2 - 7*x - 13. Let c be q(9). Suppose 5*k = -c*s - 15, 5 - 15 = 2*s. Factor 15*d**k - d + d - 9*d**3 - 6*d.
-3*d*(d - 1)*(3*d - 2)
Factor -69/5*g**3 + 189/5*g**2 - 183/5*g + 3/5*g**4 + 12.
3*(g - 20)*(g - 1)**3/5
Let f(g) be the third derivative of -g**5/420 - g**4/42 - g**3/14 + 91*g**2. Factor f(l).
-(l + 1)*(l + 3)/7
Let k = 1/68 - -849/68. Let t = k + -49/4. Find a such that -1/4*a + 0 - t*a**2 = 0.
-1, 0
Let x(v) = 2*v**2 - 8*v - 12. Let h be x(-2). Determine k, given that -6*k + h*k - k + 20*k - 5*k**2 = 0.
0, 5
Suppose 2*a - 4*a + 4 = 4*h, 0 = -h - 3*a + 6. Let x = -481/3 - -162. Factor h - 2/3*i - x*i**4 + 2/3*i**3 + 5/3*i**2.
-i*(i - 1)*(i + 1)*(5*i - 2)/3
Let r be (-7 + 9)/((-8)/(-12)). Let o(v) be the second derivative of -1/90*v**5 - 2/27*v**r - 2*v + 0 + 1/18*v**4 + 0*v**2. Factor o(s).
-2*s*(s - 2)*(s - 1)/9
Let f(w) be the third derivative of -w**8/2352 - w**7/42 - 323*w**6/840 - 289*w**5/420 - 143*w**2 - 2*w. Find d, given that f(d) = 0.
-17, -1, 0
Let r = -109 + 164. Suppose 3*i - 8 = a + 1, 0 = -5*a - 5*i + r. Suppose 2*l - 2*l + 4*l**2 + 2*l - a*l**2 = 0. Calculate l.
0, 1
Let y(i) be the third derivative of -2/15*i**4 + 0 - 13*i**2 + 1/30*i**5 + 4/15*i**3 - 1/300*i**6 + 0*i. Let y(c) = 0. Calculate c.
1, 2
Suppose -5*f + 0*u = -3*u - 76, -2*u = -3*f + 45. Suppose -f = -3*p + 1. What is s in 2*s - 14*s - s + 4*s + p*s**2 + 3 = 0?
1/2, 1
Let a(i) be the second derivative of i**7/56 + 3*i**6/40 + 3*i**5/40 - i - 42. Suppose a(t) = 0. Calculate t.
-2, -1, 0
Solve 22/3*s**3 + 0 + 49/3*s - 4*s**4 + 1/3*s**5 + 28*s**2 = 0 for s.
-1, 0, 7
Let n = -118 - -122. Let t(x) be the second derivative of 2/3*x**3 - 1/30*x**6 - 1/2*x**n + 5*x - 1/2*x**2 + 0 + 1/5*x**5. Factor t(j).
-(j - 1)**4
Let f(w) = w**4 - 29*w**3 - 53*w**2 - 35*w - 12. Let l(b) = 28*b**3 + 52*b**2 + 36*b + 12. Let j = -34 - -38. Let r(z) = j*f(z) + 5*l(z). Solve r(m) = 0.
-3, -1
Let z(q) be the third derivative of -q**6/600 - 4*q**5/75 - 13*q**4/30 - 8*q**3/5 - 65*q**2. Determine k so that z(k) = 0.
-12, -2
Let s(p) be the first derivative of 5*p**3 + 2*p**3 - 6*p**3 + 17 + 3*p**2. Factor s(w).
3*w*(w + 2)
Factor -176 - 174 + 55*x - 141 + 591 + 5*x**3 - 40*x**2.
5*(x - 5)*(x - 4)*(x + 1)
Let s be (128/(-20))/8 + 28/35. Determine a, given that 0 + s*a + 0*a**2 + 5/3*a**3 = 0.
0
Let s = -15 + 65. Let l be -4 - (3*1 + (-410)/s). Determine p so that 9/5*p - 3/5*p**3 + 0 + l*p**2 = 0.
-1, 0, 3
Let d = 11/40 - 3/40. Let s(y) be the first derivative of -4/15*y**3 + 0*y - d*y**2 - 1. Factor s(q).
-2*q*(2*q + 1)/5
Let y(s) be the third derivative of -1/20*s**5 + 0*s - 1/8*s**4 + 0 + s**3 - 14*s**2. Suppose y(b) = 0. Calculate b.
-2, 1
Let w = -4259 + 4263. Find d such that 10/3*d**3 - 10/3*d**2 - 2/3*d**5 + 2/3*d**w + 8/3 - 8/3*d = 0.
-2, -1, 1, 2
Factor 2/3*o**3 + 4*o**2 + 8/3 + 6*o.
2*(o + 1)**2*(o + 4)/3
Let o = -83 - -167/2. Let c(x) be the second derivative of o*x**3 + 1/8*x**4 + 3/4*x**2 - 2*x + 0. Solve c(i) = 0.
-1
Let s(t) = t**2 - 6*t - 1. Let g(f) = 9*f**2 - 6*f + 66. Let c(d) = -g(d) + 6*s(d). Factor c(m).
-3*(m + 4)*(m + 6)
Let o = -185 + 187. Let a(r) be the second derivative of 4*r + 4/3*r**3 - 1/15*r**6 + 0 + 1/2*r**4 - 1/5*r**5 - 4*r**o. Factor a(f).
-2*(f - 1)**2*(f + 2)**2
Let m(q) be the third derivative of q**6/40 + 3*q**5/4 + 75*q**4/8 + 125*q**3/2 + 131*q**2. Factor m(x).
3*(x + 5)**3
Factor 9*f + 0 - 3/2*f**2.
-3*f*(f - 6)/2
Let c(j) be the third derivative of -1/140*j**6 + 2/21*j**3 - 1/210*j**5 + 0*j + 1/28*j**4 + 0 - 18*j**2 - 1/735*j**7. What is v in c(v) = 0?
-2, -1, 1
Let y be (3200/(-480))/(170/(-12)). Solve y*o**2 - 56/17*o + 98/17 = 0.
7/2
Suppose 3*t = v - 11, 0 = -v - 6*t - 16 - 0. Let d(f) be the first derivative of 1/2*f**4 + 3*f**2 - 9 - 2*f - v*f**3. Factor d(a).
2*(a - 1)**3
Let h(c) = -15*c**2 + 17*c + 8. Let d(n) = 136*n**2 - 152*n - 72. Let i(r) = r**3 - 9*r**2 + 8*r + 14. Let w be i(7). Let k(g) = w*h(g) - 3*d(g). Factor k(y).
4*(y - 2)*(3*y + 1)
Let m(j) = -j**3 + 2*j - 1. Let b(u) = -3*u**3 + 7*u - 4. Let i(r) = -b(r) + 4*m(r). Let i(g) = 0. What is g?
-1, 0, 1
Determine n so that -158*n**2 + 22*n**2 + 100 - 20*n**4 + 60*n - 4*n**5 - 56*n**3 + 56*n**4 = 0.
-1, 1, 5
Let z(c) = 12*c**2 - 1456*c + 132500. Let s(f) = -10*f**2 + 1456*f - 132499. Let l(n) = 4*s(n) + 3*z(n). Factor l(w).
-4*(w - 182)**2
Let r(p) be the third derivative of -p**6/420 - 19*p**5/210 - 11*p**4/21 + 64*p**3/21 - 19*p**2 + 7. Factor r(v).
-2*(v - 1)*(v + 4)*(v + 16)/7
Let m(n) be the third derivative of -n**6/60 + 2*n**5/45 + 13*n**4/36 + 2*n**3/3 + 74*n**2. Determine s, given that m(s) = 0.
-1, -2/3, 3
Solve 5*x - 154*x**4 + 198*x**3 + 42*x**2 - 5*x**2 + 3*x + 33*x**4 + 47*x**2 = 0 for x.
-2/11, 0, 2
Let f(w) be the third derivative of w**11/166320 - w**9/30240 + w**5/6 + 8*w**2. Let b(q) be the third derivative of f(q). Factor b(o)