 p*2*(-4)/(-8). Solve 4*y**2 + y**2 + 5*y**2 - d*y**2 + 20*y = 0 for y.
-4, 0
Let c be 118/22 + (457 - 462). What is z in -6/11 + 2/11*z**2 + c*z = 0?
-3, 1
Factor -64/11*q - 6 + 2/11*q**2.
2*(q - 33)*(q + 1)/11
Let c(t) be the third derivative of 4*t**5/45 + 11*t**4/9 + 121*t**3/18 + 99*t**2. Factor c(d).
(4*d + 11)**2/3
Let g = -404 - -410. Let s(v) be the second derivative of -8*v**2 + 20/3*v**3 + 0 - 1/15*v**g + 5*v - 3*v**4 + 7/10*v**5. Suppose s(x) = 0. What is x?
1, 2
Let s(l) be the third derivative of l**5/80 + 23*l**4/32 + 21*l**3/4 - 45*l**2. Factor s(k).
3*(k + 2)*(k + 21)/4
Let v(y) be the second derivative of 7*y**6/6 + 9*y**5/4 - 25*y**4/12 - 15*y**3/2 - 5*y**2 - 14*y - 1. Factor v(a).
5*(a - 1)*(a + 1)**2*(7*a + 2)
Let y(a) be the first derivative of 2*a**3 - 1/2*a**4 - 6*a + 3 + a**2. Factor y(b).
-2*(b - 3)*(b - 1)*(b + 1)
Let d = 8 + -6. Factor 2*h**d + 22 + 21*h + h**2 + 2 - 6.
3*(h + 1)*(h + 6)
Let y = -25 + 35. Factor 14*b**3 + y*b**2 + 8*b + 11*b - 17*b + 6*b**4.
2*b*(b + 1)**2*(3*b + 1)
Let p be 2/13 + 1008/546. Let o(z) be the second derivative of 1/6*z**4 + 0*z**p + 0 - z + 0*z**3. Factor o(f).
2*f**2
Let i be (-7 + 4 + 20/7)*-34. Let a = i - 149/35. Factor 0*z**2 - 6/5*z**3 + a*z**4 + 6/5*z - 3/5.
3*(z - 1)**3*(z + 1)/5
Suppose 0 = -3*m + 12, -q = -0*q + 3*m - 20. Let x(r) = -4*r**4 + 11*r**3. Let n(h) = 12*h**4 - 32*h**3. Let s(c) = q*x(c) + 3*n(c). Factor s(p).
4*p**3*(p - 2)
Let b(p) be the third derivative of p**6/320 + 169*p**5/160 + 7055*p**4/64 - 7225*p**3/16 - 292*p**2 + 2. Determine n so that b(n) = 0.
-85, 1
Let j(k) be the first derivative of 2*k**3/15 + 48*k**2/5 + 1152*k/5 + 168. Factor j(z).
2*(z + 24)**2/5
Let q(i) = 5041*i**2 - 142*i + 4. Let n(m) = 1. Let o(w) = 3*n(w) - q(w). Factor o(p).
-(71*p - 1)**2
Let x(w) = -325*w - 1297. Let h be x(-4). Factor 4/3*r**2 + 0*r - 8/3*r**4 + 0 - 2*r**5 + 2/3*r**h.
-2*r**2*(r + 1)**2*(3*r - 2)/3
Let u = 3 + -1. Let j = 47875 + -47875. Factor -8/5*c + j - 2/5*c**u.
-2*c*(c + 4)/5
Let j = 64062/5 + -12812. Factor j - l - 7/5*l**2.
-(l + 1)*(7*l - 2)/5
Suppose -2*x + 4*n = 8, -5*x + 4*n = -x + 4. Let l = -20 - -22. Factor 10*u**x + 83*u + 8 + l*u**2 - 55*u.
4*(u + 2)*(3*u + 1)
Let o be 5/2 - (-11 + 12). Let k = 1/10 - -7/5. Let 3 - k*z**2 - o*z = 0. Calculate z.
-2, 1
Solve -72/7*c + 2/7*c**2 + 648/7 = 0.
18
Suppose -2*g - 4*j + 194 = 0, 4*j = 4*g + 8*j - 388. Let h = -95 + g. Determine y so that -4/3 - h*y + 2/3*y**3 + 0*y**2 = 0.
-1, 2
Suppose -26 = -29*r - 18 + 50. Factor 3/2*k**3 - 3*k**r + 3/2*k + 0.
3*k*(k - 1)**2/2
Suppose x = -32*a + 34*a + 2, -17 = -3*x - 5*a. Factor 0 - 16/13*i - 60/13*i**3 + 18/13*i**x + 56/13*i**2.
2*i*(i - 2)*(3*i - 2)**2/13
Let s = 936 + -931. Let y(i) be the first derivative of 1/3*i + 1/3*i**2 - 1/6*i**4 - 1/15*i**s + 4 + 0*i**3. Factor y(q).
-(q - 1)*(q + 1)**3/3
Let i(w) = 12*w**3 - 87*w**2 + 57*w + 15. Let t(m) = -2*m**2 + m + 2. Let q(g) = i(g) + 3*t(g). Factor q(h).
3*(h - 7)*(h - 1)*(4*h + 1)
Factor 11 - 5*y**2 + 2*y**2 - 23 + 42*y - 27.
-3*(y - 13)*(y - 1)
Let d(w) = w**2 + 3*w + 3. Let t be d(-3). Let o be 280/36 + (10/9)/5. Solve -6*m**2 - 6*m**4 + 4*m**2 - t*m**5 + 3*m + o*m**2 = 0.
-1, 0, 1
Let q = -1788 + 28609/16. Let z(r) be the second derivative of -6*r - 3/8*r**2 + 0 + 3/160*r**5 + 1/16*r**4 - q*r**3. Factor z(j).
3*(j - 1)*(j + 1)*(j + 2)/8
Let h be 5/(-2)*34/(-5). Suppose 3*q - h = -2*w, 0 = -4*q - w + 10 + 6. Factor 6*u - 3 - 6*u**3 - 3*u + 3*u + q*u**4.
3*(u - 1)**3*(u + 1)
Let x(b) be the first derivative of 5*b**6/4 + 11*b**5/2 + 75*b**4/8 + 15*b**3/2 + 5*b**2/2 - 225. Suppose x(u) = 0. Calculate u.
-1, -2/3, 0
Factor 0 - 34/3*b**2 + 14/3*b + 26/3*b**3 - 2*b**4.
-2*b*(b - 1)**2*(3*b - 7)/3
Let g(p) be the third derivative of -1/15*p**5 - 6*p**2 + 1/12*p**4 + 0*p**3 + 0*p + 1/60*p**6 + 0. Solve g(i) = 0 for i.
0, 1
Suppose 48*o = 18*o + 19*o. Factor -2/11*j**3 + 0*j + 0*j**4 + 0 + o*j**2 + 2/11*j**5.
2*j**3*(j - 1)*(j + 1)/11
Let v(b) be the second derivative of 15/2*b**2 - 11*b + 1/20*b**4 + 0 - b**3. Suppose v(p) = 0. Calculate p.
5
Let t(d) be the third derivative of -d**8/90720 - d**7/11340 - d**6/3240 - 7*d**5/30 - 13*d**2. Let c(v) be the third derivative of t(v). Factor c(x).
-2*(x + 1)**2/9
Let x be (-3)/6*(-30)/1. Factor 8*y**3 - 102*y**5 + 104*y**5 - 10*y**4 + 32*y**2 - 64*y + 17 + x.
2*(y - 2)**3*(y - 1)*(y + 2)
Let z = -6 - -11. Let p be ((-168)/72)/((-14)/24). Suppose 7*n**5 + p*n**3 - 4*n**z - n - 8*n**4 + n**3 + n**3 = 0. Calculate n.
-1/3, 0, 1
Let o(l) = l**2 - 5*l - 10. Let s be o(7). Let u(c) be the first derivative of -3/2*c**s + 2*c**3 + 1/2*c**6 - 3*c + 7 - 3/5*c**5 + 3/2*c**2. Factor u(q).
3*(q - 1)**3*(q + 1)**2
Let l(c) be the third derivative of 19773*c**6/220 - 1521*c**5/55 + 39*c**4/11 - 8*c**3/33 - 3*c**2 - 4*c. Factor l(q).
2*(39*q - 2)**3/11
Let p(f) = 3*f. Let w be p(7). Let r = -5 + w. Factor r*y**2 - 8*y + y**4 + 0*y**4 + y**4 - 8*y**3 - 2*y**3.
2*y*(y - 2)**2*(y - 1)
Let u be (-8)/44 - 6/(-33). Find x, given that -4*x**2 - 2*x**5 + u*x**5 - 12*x**3 + 2958 + 10*x**4 - 2964 + 14*x = 0.
-1, 1, 3
Let d(v) = v**3 - v. Let j = -8 + 9. Let y(g) be the third derivative of -g**6/60 + g**5/60 + g**4/8 + 4*g**2. Let l(s) = j*y(s) + 3*d(s). Factor l(q).
q**2*(q + 1)
Let g = 1217 - 1215. Let v(k) be the first derivative of 1/12*k**g - 6 + 1/3*k - 1/18*k**3. What is j in v(j) = 0?
-1, 2
Let n(q) be the third derivative of 0*q - 2/21*q**3 + 0 + 1/210*q**5 + 1/84*q**4 - 9*q**2. Factor n(h).
2*(h - 1)*(h + 2)/7
Let x = -11 + 16. Suppose 0 = -4*k + 3*b + 2*b + 8, k - 2 = -2*b. Factor -8*d**3 + 7*d**2 - x*d**k + 6*d**3.
-2*d**2*(d - 1)
Let h(l) be the second derivative of -l**7/252 + l**6/36 - l**5/40 - 5*l**4/72 + l**3/9 + 20*l. Solve h(g) = 0 for g.
-1, 0, 1, 4
Let o(n) be the second derivative of -3*n**5/140 + 141*n**4/28 - 358*n. Let o(r) = 0. Calculate r.
0, 141
Factor 4/5*c**3 + 576/5*c - 96/5*c**2 + 0.
4*c*(c - 12)**2/5
Let f(m) = -3*m - 8. Let g be f(-4). Suppose -28 + g = -2*q. Factor -1 - 18*t - 19 - 3*t**2 + 5 - q.
-3*(t + 3)**2
Let n(u) be the first derivative of -5/2*u**4 + 5*u**2 - 8*u + 2*u**3 + 2/5*u**5 - 4. Factor n(g).
2*(g - 4)*(g - 1)**2*(g + 1)
Let j(s) be the second derivative of s**4/3 - 40*s**3/3 + 200*s**2 + 36*s - 3. What is k in j(k) = 0?
10
Suppose -5*i = -3*d - 16, -99*i - 5*d = -103*i + 18. Factor -2/7*c**i + 68/7*c - 578/7.
-2*(c - 17)**2/7
Let f(g) = -15*g**3 + 658*g**2 + 220*g. Let l(n) = 15*n**3 - 659*n**2 - 220*n. Let t(p) = 4*f(p) + 3*l(p). Factor t(u).
-5*u*(u - 44)*(3*u + 1)
Let y(x) = 2*x**4 - 15*x**3 + 19*x**2 - 16*x. Let s(f) = -f**3 + f**2 - 2*f. Let v(a) = -5*s(a) + y(a). Solve v(d) = 0 for d.
0, 1, 3
Let u be (2/(-18))/(152/(-304)). Factor -u*a**3 + 2/9*a - 2/9*a**4 + 2/9*a**2 + 0.
-2*a*(a - 1)*(a + 1)**2/9
Suppose 5*n + 24 = -n. Let a be -3 - 15/21 - n. What is b in -8/7 + 8/7*b - a*b**2 = 0?
2
Let w(m) be the second derivative of -m**5/10 + 3*m**4/2 + 7*m**3 + 11*m**2 + 171*m. Factor w(h).
-2*(h - 11)*(h + 1)**2
Let n(c) be the first derivative of -1/90*c**6 + 1/18*c**3 - 1/12*c**4 + 13 + 1/20*c**5 + 0*c**2 - 12*c. Let q(a) be the first derivative of n(a). Factor q(y).
-y*(y - 1)**3/3
Solve 68*j**3 - 56*j**3 + 69*j**3 + 328*j**2 + 559*j - 3*j**4 + 384 + 197*j + 128*j**2 = 0.
-2, -1, 32
Let k(z) be the first derivative of 1/2*z**2 - 2*z + 1/3*z**3 + 12. Factor k(c).
(c - 1)*(c + 2)
Let n = -13910 + 13913. Factor -4/5*s - 1/5*s**4 + 2/5*s**n - 4/5 + 3/5*s**2.
-(s - 2)**2*(s + 1)**2/5
Suppose 13/10*l + 0 - 1/10*l**2 = 0. What is l?
0, 13
Suppose -4*c - 3*r = -7*c + 18, -3*c = 2*r + 2. Let u(w) be the second derivative of 1/20*w**4 - 3/10*w**3 + w + 3/5*w**c + 0. Solve u(g) = 0 for g.
1, 2
Factor -1903 - x**2 - 8574 - 308*x - 9056 - 5932 + 1749.
-(x + 154)**2
Let u(d) be the first derivative of 147*d**4/26 + 28*d**3/13 + 4*d**2/13 + 21*d + 22. Let g(f) be the first derivative of u(f). Factor g(k).
2*(21*k + 2)**2/13
Suppose 3*y = -2*h - 60 + 68, h - 19 = -4*y. Let b(d) be the first derivative of -1/7*d**4 + 3 + 1/21*d**y + 0*d + 0*d**3 + 0*d**5 + 1/7*d**2. Solve b(q) = 0.
-1, 0, 1
Factor -1083/5*l**3 + 12/5 + 216/5*l + 171*l**2.
-3*(l - 1)*(19*l + 2)**2/5
Suppose 13*s - 1050 = 6*s. Let b = s - 1048/7. Find r, given that -6/7*r**3 - 2/7*r**2 - b*r**5 +