r r.
-1, 0, 1
Let w(u) be the third derivative of -u**8/15120 - u**7/945 - u**6/180 - u**5/30 + 9*u**2. Let f(o) be the third derivative of w(o). Factor f(y).
-4*(y + 1)*(y + 3)/3
Let u be -3 + 6 - (-7 + 0). Suppose z + 45 = u*z. Factor 44/3*v**3 - 12*v**4 - 16/3*v**2 - 2*v + 10/3*v**z + 4/3.
2*(v - 1)**4*(5*v + 2)/3
What is k in 8/15 + 2/15*k**3 + 16/15*k + 2/3*k**2 = 0?
-2, -1
Let g = 2581/12 - 215. Let b(k) be the second derivative of -1/24*k**4 + 0 - 1/40*k**5 - 2*k + g*k**3 + 1/4*k**2. Factor b(q).
-(q - 1)*(q + 1)**2/2
Solve 10/3 + 15/2*y**2 - 5/6*y**4 + 55/6*y + 5/6*y**3 = 0.
-1, 4
Let k(v) = 9*v**4 - 24*v**3 + 29*v**2. Let z(s) = 5*s**4 - 11*s**3 + 14*s**2. Let r(x) = -4*k(x) + 7*z(x). Find a such that r(a) = 0.
0, 1, 18
Let c be (-15 - -15) + 68/2. Find z, given that 61 - 15*z - c - 27 - 5*z**2 = 0.
-3, 0
Let q(l) be the third derivative of 4/17*l**3 - 7/204*l**4 + 8*l**2 + 0 + 0*l + 1/510*l**5. Find d such that q(d) = 0.
3, 4
Let l = 335 + -335. Let z(q) be the first derivative of 2*q**2 + l*q**3 - q**4 - 2 + 2/5*q**5 - 2*q. Suppose z(a) = 0. What is a?
-1, 1
Let o = 60 + -60. Factor 8*v**3 + 10*v**2 + o*v + 5*v**3 - 5*v - 18*v**3.
-5*v*(v - 1)**2
Let m(c) = -63*c + 5674. Let z be m(90). Find h, given that 4/7*h + 0 - 2/7*h**z + 8/7*h**3 - 10/7*h**2 = 0.
0, 1, 2
Suppose -q - 2 = -2*q. Let g be 48/80*20/18. Factor t - g + 0*t**q - 1/3*t**3.
-(t - 1)**2*(t + 2)/3
Let -6*j**2 + 4 - 51*j**3 + 2*j + 2*j**5 + 47*j**3 - 2*j**2 + 4*j**4 + 0*j = 0. What is j?
-2, -1, 1
Let j(r) be the third derivative of -r**6/2160 + r**5/360 - 13*r**3/6 - 23*r**2. Let w(z) be the first derivative of j(z). Factor w(t).
-t*(t - 2)/6
Find l such that 52/5*l**2 - 6*l**3 + 0 + 0*l + 2/5*l**4 = 0.
0, 2, 13
Let d(m) be the second derivative of 0*m**2 - 3 + 1/48*m**4 + 4*m + 5/12*m**3. Solve d(f) = 0 for f.
-10, 0
Let s(v) be the third derivative of -v**8/16800 + v**7/3150 + v**4/8 + 2*v**2. Let y(q) be the second derivative of s(q). Suppose y(w) = 0. What is w?
0, 2
Factor -18/17 - 92/17*m**2 - 18/17*m**4 + 60/17*m**3 + 66/17*m + 2/17*m**5.
2*(m - 3)**2*(m - 1)**3/17
Let h(s) be the third derivative of s**7/105 + 4*s**6/45 + s**5/45 - 4*s**4/9 - 5*s**3/9 - s**2 - 4*s. Determine v so that h(v) = 0.
-5, -1, -1/3, 1
Factor 2 - 3*l**4 + l + 274*l**3 + 4*l**4 - 3*l**2 - 4*l**2 - 281*l**3 + 2*l**5.
(l - 2)*(l + 1)**3*(2*l - 1)
Let a(h) be the first derivative of 1/30*h**4 - 16 + 2/15*h - 1/15*h**2 - 2/45*h**3. Factor a(m).
2*(m - 1)**2*(m + 1)/15
Let u be -10 + 2 - 874/(-92). Determine w so that -u + w**2 + 5/4*w = 0.
-2, 3/4
Suppose 1067*u - 2163 + 29 = 0. Factor 9/2*b**3 - 6 + 21/2*b**u + 0*b.
3*(b + 1)*(b + 2)*(3*b - 2)/2
Let w(t) = t**2 - 3 + 0 - 11*t + 3*t - 3. Let z be w(8). Let j(d) = -2*d**2 + 2*d - 2. Let f(n) = n. Let v(u) = z*f(u) + j(u). Factor v(l).
-2*(l + 1)**2
Let u(m) = -m**3 + m + 0*m + m**2 + 2*m**3. Let a(o) = -5*o**3 - o**2 - 7*o + 1. Let z(v) = -a(v) - 4*u(v). Factor z(h).
(h - 1)**3
Let u = -1270 - -1272. Find y such that -7/6*y + y**u + 1/6 = 0.
1/6, 1
Determine j so that 4/5*j**5 - 108/5*j - 648/5 - 24*j**3 + 432/5*j**2 - 8/5*j**4 = 0.
-6, -1, 3
Let d be (-2)/11*(-2134)/776. Solve 0 + 1/2*s**3 - s**4 + 0*s - d*s**5 + s**2 = 0.
-2, -1, 0, 1
Let t(j) be the first derivative of -1/3*j**6 - j**5 - 1/3*j**3 + 0*j**2 + 0*j - j**4 + 8. What is k in t(k) = 0?
-1, -1/2, 0
Let t be 16 + -1 - 3/(-3). Let n = t - 11. Find q such that 126*q**2 - 7*q - 5*q**n + 243*q**4 - 270*q**3 - 76*q**5 + 6*q**2 - 17*q = 0.
0, 2/3, 1
Solve -24 + 2*j**3 - 8*j - 1/2*j**4 + 8*j**2 = 0.
-2, 2, 6
Let l = 638 - 632. Let o(b) be the third derivative of 0*b - b**3 + 0 - 5/12*b**4 - 1/30*b**5 + 1/60*b**l - 6*b**2. Factor o(n).
2*(n - 3)*(n + 1)**2
Let o(d) be the third derivative of d**6/60 - d**5/12 - 5*d**4/12 + d**3 - 28*d**2. Let v(t) = -t**2. Let c(l) = -2*o(l) + 14*v(l). Factor c(n).
-4*(n - 1)**2*(n + 3)
Let h(g) = 185*g + 925. Let r be h(-5). Determine j, given that r*j - 4/7*j**3 + 8/7*j**2 + 0 = 0.
0, 2
Let c(h) = 9*h**2 + 23*h + 18. Let z(i) = 8*i**2 + 22*i + 16. Let p(d) = 4*c(d) - 5*z(d). Let p(k) = 0. What is k?
-4, -1/2
Factor 2/25*m**3 + 4/25*m**2 - 2/25*m - 4/25.
2*(m - 1)*(m + 1)*(m + 2)/25
Let d(m) = 6*m**2 + 286*m + 82. Let p(q) = -12*q**2 - 573*q - 158. Let u(g) = -5*d(g) - 2*p(g). Find t, given that u(t) = 0.
-47, -1/3
Factor 4/5*n**2 + 544/5 + 152/5*n.
4*(n + 4)*(n + 34)/5
Let t = 1 - -1. Let f = -144 - -160. Factor -6*j**3 - 11*j**t - 5*j**3 - f*j**4 + 14*j**4 + 15*j + 9.
-(j - 1)*(j + 3)**2*(2*j + 1)
Let y be ((-2)/(-2))/((-3)/(-6)). Factor -3*x**y + 2*x**3 + x**3 - x**3 + 5*x**2.
2*x**2*(x + 1)
Factor -3/5*d**5 + 24/5*d**4 + 0 + 0*d + 0*d**2 - 48/5*d**3.
-3*d**3*(d - 4)**2/5
Let l = 1499 + -10487/7. Let l*q**2 + 6/7*q**3 + 0 + 0*q = 0. What is q?
-1, 0
Factor 0*i - 1/7*i**3 + i**2 + 0.
-i**2*(i - 7)/7
Let s(q) = 4*q**4 + 16*q**3 + 12*q**2 + 5*q - 5. Let l(g) = 3*g**4 + 15*g**3 + 12*g**2 + 4*g - 4. Let d(j) = -5*l(j) + 4*s(j). Solve d(h) = 0 for h.
-1, 0, 12
Let y = -30 - -39. Let q be -8 + 4 + 1*y. Factor -n + 2*n - 2*n + 3*n**2 - q*n.
3*n*(n - 2)
Let b = 202 - 197. Suppose 0 = -4*o + b*w - 7, -4*o + 4*w + 23 = 9*w. Factor 0 + 9/8*d**4 + 0*d**o + 3/4*d**5 + 0*d + 3/8*d**3.
3*d**3*(d + 1)*(2*d + 1)/8
Let z(h) be the third derivative of h**5/80 + 9*h**4/32 - 11*h**3/4 + 88*h**2. Suppose z(x) = 0. What is x?
-11, 2
Let n(x) be the second derivative of x**6/60 - 19*x**5/20 + 143*x**4/8 - 323*x**3/3 + 289*x**2 - 261*x - 1. Factor n(p).
(p - 17)**2*(p - 2)**2/2
Solve -24/5*i**2 + 0 - 2/5*i**3 + 0*i + 2/5*i**4 = 0 for i.
-3, 0, 4
Let r be (-24)/(-10) - (-478)/(-1195). Factor 9/2*g**3 + 0 + 3*g**r + 0*g + 3/2*g**4.
3*g**2*(g + 1)*(g + 2)/2
Let k(m) be the third derivative of -m**8/1848 + 19*m**7/231 - 361*m**6/66 + 6859*m**5/33 - 651605*m**4/132 + 2476099*m**3/33 - 29*m**2 - 3. Factor k(p).
-2*(p - 19)**5/11
Let q = -1530 - -1533. What is d in -2/19*d**4 + 2/19*d**2 - 2/19*d + 0 + 2/19*d**q = 0?
-1, 0, 1
Let d = -149 - -153. Let r(g) be the second derivative of 0*g**5 + 1/120*g**6 - 4*g + 0 + 1/168*g**7 + 0*g**2 + 0*g**d + 0*g**3. Factor r(v).
v**4*(v + 1)/4
Let d(c) be the third derivative of -1/300*c**6 - 1/150*c**5 + 0*c**3 + 1/525*c**7 + 1/840*c**8 + 0 + 3*c**2 + 0*c + 0*c**4. Factor d(u).
2*u**2*(u - 1)*(u + 1)**2/5
Let l(f) be the second derivative of f**5/30 - 25*f**4/18 + 74*f - 1. Let l(n) = 0. Calculate n.
0, 25
Let p = 44 - 41. Suppose 87*k + 52 + 7*k**2 - 127*k - p*k**2 + 48 = 0. Calculate k.
5
Suppose -n - 3*b - 12 = 6, 3*n + 30 = 3*b. Let o be ((9/(-6))/(-3))/(n/(-32)). Find p, given that 2/3*p**3 + 0 - o*p + 2/3*p**2 = 0.
-2, 0, 1
Let h = 15433/10286 + -2/5143. Suppose -10 = -z - z. Solve -3/2*m**3 + 0 + 0*m + 1/2*m**2 - 1/2*m**z + h*m**4 = 0 for m.
0, 1
Factor -8 - 4*n**2 + 86*n + 16*n**3 - 36*n - 30*n + 12*n**4 + 2*n**5 - 38*n.
2*(n - 1)*(n + 1)**3*(n + 4)
Let g(x) = 36*x**4 + 144*x**3 + 291*x**2 - 21. Let m(l) = 7*l**4 + 29*l**3 + 58*l**2 - 4. Let c(a) = 4*g(a) - 21*m(a). Factor c(y).
-3*y**2*(y + 2)*(y + 9)
Suppose -110 = -14*w + 2. Let k be 6/w*(-64)/(-24). Factor -2/7*r**3 - 96/7*r - 128/7 - 24/7*r**k.
-2*(r + 4)**3/7
Let p be 4 + (1 - -2*(-1 - -2)). Suppose -3*i + p*i = 8. Factor -1/5*n**3 + n - 1/5*n**4 + 2/5 + 3/5*n**i.
-(n - 2)*(n + 1)**3/5
Let i be -16*(-3)/18 + 403/195*8. Suppose -i - 48/5*n - 6/5*n**2 = 0. Calculate n.
-4
Let j = -42 + 46. Factor -4*d**j - 12*d**4 + 3*d**3 + 8*d**2 - 4*d**2 - 15*d**3.
-4*d**2*(d + 1)*(4*d - 1)
Let d(y) = 7*y**3 - 2*y**2 + 4*y - 3. Let j be d(1). Suppose 24 = j*o - 0*o. Find f, given that -1/3*f**3 + 1/3*f**2 + 0*f + 0 - 2/3*f**o = 0.
-1, 0, 1/2
Let g(l) = 3*l - 4. Let d(q) = -2*q + 3. Let c(m) = 4*d(m) + 3*g(m). Let k be c(4). Find o such that -4*o**4 - 2*o**3 - 8 + k*o**2 - 2*o**3 + 8*o**2 + 4*o = 0.
-2, -1, 1
Let l(b) be the second derivative of -11*b + 0*b**2 + 24/5*b**5 + 32/3*b**4 + 2/21*b**7 - 4/3*b**6 - 256/3*b**3 - 3. Find d, given that l(d) = 0.
-2, 0, 4
Let w(r) be the second derivative of 0 + 1/40*r**5 + 8*r - 3/4*r**2 + 1/8*r**4 - 1/12*r**3. Factor w(s).
(s - 1)*(s + 1)*(s + 3)/2
Suppose -m = 2*m - 6. What is k in -5*k**m - 21 - 24 + 14*k + 16*k = 0?
3
Let w(j) be the first derivative of -3*j**4/4 + 33*j**3 - 432*j**2 + 768*j + 12. Factor w(a).
-3*(a - 16)**2*(a - 1)
Let u(s) = 3*s**2 +