4*y**2 - 18*y + 10*y**2 + 40*y**3 + v*y**2 = 0.
-3, 0, 2/7
Find d such that 1729/2*d + 628*d**2 + 1/2*d**5 + 107*d**3 - 17*d**4 + 361 = 0.
-2, -1, 19
Let b(i) be the third derivative of i**6/120 - 2*i**5/45 - 5*i**4/72 + i**3/3 - 5*i**2. Suppose b(y) = 0. Calculate y.
-1, 2/3, 3
Suppose -l = -116*q + 112*q + 9, -3*q + 2 = 4*l. Find v such that -q*v + 2/11*v**2 + 0 = 0.
0, 11
Let d be 2/(-7) - (-45)/35. Let u be (-8 - -11) + 1/d. Suppose -9*y - 3*y + 10*y**4 + 65*y**4 + 0*y**u - 48*y**2 - 15*y**3 = 0. What is y?
-2/5, 0, 1
Find t, given that 0 - 1/4*t**3 - t**2 + 5/4*t = 0.
-5, 0, 1
Let t = -3188 + 3191. Factor 10*v**4 + 0*v - 8/3*v**2 + 0 - 8*v**t - 8/3*v**5.
-2*v**2*(v - 2)**2*(4*v + 1)/3
Let q(y) be the third derivative of y**5/510 + 10*y**4/51 - 41*y**3/51 - 133*y**2. Factor q(l).
2*(l - 1)*(l + 41)/17
Let u(d) be the second derivative of d**8/1344 + d**7/126 + 5*d**6/144 + d**5/12 - d**4 - 3*d. Let o(c) be the third derivative of u(c). Solve o(m) = 0 for m.
-2, -1
Let i(q) be the third derivative of q**6/60 - q**4 + 16*q**3/3 + 3*q**2 + 7. Factor i(x).
2*(x - 2)**2*(x + 4)
Let y = 31 - 28. Factor j + 4*j - 4 + 4*j**2 + 0*j - 4*j**y - j.
-4*(j - 1)**2*(j + 1)
Let y(q) be the third derivative of q**6/200 - 2*q**5/25 + q**4/10 + 24*q**3/5 + 164*q**2 + q. Factor y(k).
3*(k - 6)*(k - 4)*(k + 2)/5
Let l = 9 + 7. Suppose -16*m + l = -12*m. Factor -8 + 8 + m*n**4 - 4*n**5.
-4*n**4*(n - 1)
Suppose -27 = -5*c - 3*o, -2 = 5*c - 4*o - 1. Suppose 2*d - 5*d - c*d + 4*d + 5*d**2 - 3 = 0. What is d?
-3/5, 1
Suppose 2*k = x + 132, -3*k + 5*x + 99 = -106. Factor 37*i + 2*i**2 - k*i + 15*i**2 + 3*i**2 - 4*i**3 + 12.
-4*(i - 3)*(i - 1)**2
Factor -51*x**5 - 2147 - 6*x**2 - 16*x**3 - 16*x**3 - 108*x**4 + 2147 - 31*x**3.
-3*x**2*(x + 1)**2*(17*x + 2)
Let w(b) be the second derivative of 0 + 0*b**2 + 0*b**5 + 2/3*b**3 + 2/3*b**4 - 4/15*b**6 - 10*b - 2/21*b**7. Find z, given that w(z) = 0.
-1, 0, 1
Let i(q) be the first derivative of -2*q**5/15 + 5*q**4/6 + 2*q**3/9 - 5*q**2/3 - 105. Factor i(b).
-2*b*(b - 5)*(b - 1)*(b + 1)/3
Let s(f) = 3*f**2 + 6*f - 9. Let j(w) = -11 + 13*w - 2 + 6*w**2 - 6. Let y = 249 - 236. Let h(m) = y*s(m) - 6*j(m). What is q in h(q) = 0?
-1, 1
Suppose 0*a - 6*a - 48 = 0. Let h = a - -16. Suppose 8 - h - x**4 + 2*x**3 - x**2 = 0. What is x?
0, 1
Suppose s + s + 55 = 5*v, -s = 3*v - 33. Suppose 3*t = -x - v, t + 10 = -t. Factor -2*b**4 + 3*b**4 + b**2 + b**x - 3*b**3.
b**2*(b - 1)*(2*b - 1)
Let t(u) be the first derivative of u**5/25 + u**4/10 - u**2/5 - u/5 - 129. Factor t(x).
(x - 1)*(x + 1)**3/5
Let v(u) = u**2 + u + 1. Let x(s) be the second derivative of s**4/12 + 13*s**3/6 + 37*s**2/2 + 30*s. Let r(k) = 5*v(k) - x(k). Let r(d) = 0. Calculate d.
-2, 4
Suppose 50*l = 45*l + 45. Factor -11*w - l - 9*w**3 + 11*w**3 + w**4 - 8*w**2 - 7*w.
(w - 3)*(w + 1)**2*(w + 3)
Let b(y) be the first derivative of -2*y**3/15 - 18*y**2/5 - 84. Factor b(c).
-2*c*(c + 18)/5
Let h = 4639/18 - 515/2. Find p such that -h*p**2 - 2/9*p + 4/9 = 0.
-2, 1
Let y be (-1)/(-7)*-12*-7 - (-262)/(-1048). Find a such that 9/4*a**3 - 2 - y*a**2 + 23/2*a = 0.
2/9, 1, 4
Let z(v) be the first derivative of -v**6/540 - v**5/90 + 2*v**4/9 + 5*v**3 + 27. Let x(w) be the third derivative of z(w). Let x(l) = 0. Calculate l.
-4, 2
Let g(d) = -d**3 + 1. Let j(o) = 6*o + 2. Let x be j(-1). Let f(p) = -3*p**3 + 2*p**2 + p + 4. Let z(m) = x*g(m) + f(m). Factor z(c).
c*(c + 1)**2
Suppose 20 = 5*z + 3*d, 0*z + 4*z - d = -1. Suppose 0 = -q - m + z + 3, 2*m + 16 = 4*q. Let 3/2*v**q + 0 + 0*v - 3*v**3 + 0*v**2 = 0. Calculate v.
0, 2
Factor -8/5*l + 2/5*l**3 - 8/5*l**2 + 2/5*l**4 + 0.
2*l*(l - 2)*(l + 1)*(l + 2)/5
Let u(k) be the third derivative of 5*k**4/24 - k**3/3 - 27*k**2. Let d be u(1). Determine x so that 3*x**d + 0*x + 0 - 3/2*x**4 - 3/2*x**2 = 0.
0, 1
Let n be 9/15 - (-3 + 16/10). Factor -b**2 - 13*b - 7*b - 1 - 4*b**n - 19.
-5*(b + 2)**2
Let t(f) = 42*f**3 - 98*f**2 + 32*f - 4. Let q(w) = -86*w**3 + 196*w**2 - 55*w + 7. Let k(i) = -4*q(i) - 7*t(i). Find z, given that k(z) = 0.
-1/25, 0, 2
Let k(z) be the third derivative of -25/3*z**3 + 0 - 1/40*z**6 + 0*z + 11/120*z**5 + 5/4*z**4 - 1/420*z**7 - 6*z**2. Determine w, given that k(w) = 0.
-5, 2
Let o be 90/54 + 50/6. Suppose -o*q = -2*q + 6*q. Factor q + 6/5*u - 8/5*u**2 + 2/5*u**3.
2*u*(u - 3)*(u - 1)/5
Let y(j) be the second derivative of 5/24*j**6 + 18*j**2 + 143/6*j**4 + 32*j**3 + 13*j + 0 + 4*j**5. Factor y(w).
(w + 6)**2*(5*w + 2)**2/4
Let j be 2/720 + 58/261. Let d(y) be the third derivative of 1/10*y**3 + 0*y + 6*y**2 + 27/100*y**5 + j*y**4 + 27/200*y**6 + 0. Suppose d(b) = 0. What is b?
-1/3
Let o(y) be the second derivative of 5*y**7/168 + 7*y**6/8 + 87*y**5/8 + 1775*y**4/24 + 2375*y**3/8 + 5625*y**2/8 + 3*y + 4. Factor o(r).
5*(r + 3)**2*(r + 5)**3/4
Let s = 753 - 753. Let b(v) be the second derivative of -1/30*v**5 + 0 + s*v**2 + 2/9*v**3 + 1/18*v**4 - 3*v. Suppose b(l) = 0. What is l?
-1, 0, 2
Let t(x) = -x**2 - 7*x + 9. Let f(w) = -6*w**2 - 40*w + 53. Suppose -8 = 4*l, 2*i + 5*l = l + 60. Let k(a) = i*t(a) - 6*f(a). Suppose k(q) = 0. What is q?
-3, 2
Let x(m) be the first derivative of 0*m + 4/3*m**3 + 4*m**2 + 7. Find w such that x(w) = 0.
-2, 0
Let m = -42 + 56. Suppose m*z - 24 = 6*z. Factor -4/5*q**2 + 0*q + 0 + 2/5*q**z + 2/5*q**4.
2*q**2*(q - 1)*(q + 2)/5
Suppose o - 63 = 17. Let b be 3 + o/(-28) - (0 - 1). Factor -2/7*r**5 - b*r**2 + 0 - 12/7*r**3 - 2/7*r - 8/7*r**4.
-2*r*(r + 1)**4/7
Let s(k) = -2*k - 25. Let z be s(-14). Determine o, given that 0*o + 0*o + z - 2*o + 0*o - o**2 = 0.
-3, 1
Let m(s) be the third derivative of 0*s**4 + 0*s**3 - 4*s**2 + 0*s + 0*s**6 + 1/160*s**5 - 1/560*s**7 + 0. Factor m(r).
-3*r**2*(r - 1)*(r + 1)/8
Let t(x) be the first derivative of x**5/570 - x**4/38 + 3*x**3/19 + 15*x**2/2 + 11. Let z(w) be the second derivative of t(w). Factor z(o).
2*(o - 3)**2/19
Let w(p) = 6*p**2 - 16*p + 10. Let d(s) = -2*s**2 + 5*s - 3. Suppose -2*o = -n - 5, o + 3*n - 7 = -1. Let v(c) = o*w(c) + 10*d(c). Let v(k) = 0. What is k?
0, 1
Let h(p) be the first derivative of -p**6/8 - 3*p**5/10 + 33*p**4/16 + 3*p**3 - 354. Find u, given that h(u) = 0.
-4, -1, 0, 3
Factor 11*l + 2 - 10 - 1005*l**2 + 49*l + 953*l**2.
-4*(l - 1)*(13*l - 2)
Let s(f) be the third derivative of f**6/240 + f**5/60 - 3*f**4/16 - 3*f**3/2 + f**2 - 26. Determine c so that s(c) = 0.
-3, -2, 3
Let a(t) be the first derivative of t**7/1050 - t**5/300 - 5*t**2 + 9. Let f(y) be the second derivative of a(y). What is q in f(q) = 0?
-1, 0, 1
Let i(w) be the first derivative of w**3 + 39*w**2/2 + 120*w + 63. Factor i(n).
3*(n + 5)*(n + 8)
Let c(f) be the second derivative of -9*f**5/10 + f**4/24 + f**3/6 + 14*f. Factor c(j).
-j*(4*j - 1)*(9*j + 2)/2
Let j = 66 + -62. Suppose -d + 6*d = 5*g - 20, -2*d = j*g + 8. Factor 0*z**3 - 1/3*z**4 - 1/3 + g*z + 2/3*z**2.
-(z - 1)**2*(z + 1)**2/3
Let o(r) = 3*r**2 + 2250*r - 108300. Let c(z) = -z**2 - 562*z + 27075. Let f(m) = -15*c(m) - 4*o(m). Factor f(s).
3*(s - 95)**2
Suppose 50*i + 21 = 47*i. Let v(j) = -2*j**2 - 15*j - 4. Let d be v(i). Let 0 - 4/3*o**2 + 0*o + 2/3*o**d = 0. What is o?
0, 2
Let m(k) be the third derivative of k**7/75 - 19*k**6/300 + k**5/10 - k**4/60 - 2*k**3/15 - 40*k**2. Factor m(g).
2*(g - 1)**3*(7*g + 2)/5
Let d = 1256/15 + -250/3. Factor -6/5*a**2 - d*a + 0 + 8/5*a**3.
2*a*(a - 1)*(4*a + 1)/5
Let k(c) be the first derivative of 2/3*c + 2/9*c**3 + 2/3*c**2 + 13. Factor k(x).
2*(x + 1)**2/3
Let f = 1522/5 - 10624/35. Solve f*m**3 - 6/7*m + 3/7*m**2 - 3/7 = 0 for m.
-1, -1/2, 1
Let c(r) = r**2 - 14*r + 33. Let t be c(11). Let a(w) be the first derivative of t*w + 0*w**2 - 3/4*w**4 + 0*w**3 - 1. Factor a(u).
-3*u**3
Let p be 3 + (-666)/135 + 2. Let g(a) be the second derivative of -a + 0 + 0*a**2 - p*a**4 + 2/15*a**3. Factor g(q).
-4*q*(q - 1)/5
Let z(n) = n**4 + n**3 - n + 1. Let o(f) = f**4 + 49*f**3 - 198*f**2 + 344*f - 212. Let m(d) = -o(d) + 4*z(d). Suppose m(l) = 0. What is l?
2, 9
Let i(v) = -13*v + 93. Let s be i(7). Solve -1/3*y - 2/3 + 1/3*y**s = 0.
-1, 2
Let n be 80/800 - 2/30. Let d(l) be the second derivative of -1/5*l**2 + 1/15*l**3 - 1/50*l**5 + 0 + n*l**4 + 5*l. Factor d(y).
-2*(y - 1)**2*(y + 1)/5
Let k(a) be the first derivative of -a**4/2 + 10*a**3/3 - 6*a