1/40*q**5 - 1/240*q**6 + 0*q + 0 - 1/16*q**4 + 1/12*q**3 + 10*q**2. What is a in u(a) = 0?
1
Factor -1/4*k**2 + 5*k - 25.
-(k - 10)**2/4
Let o(u) = u**3 + 8*u**2 + 52*u + 68. Suppose t - 8 = -1. Let b(f) = -2*f**3 - 17*f**2 - 103*f - 135. Let v(g) = t*o(g) + 4*b(g). What is i in v(i) = 0?
-4
Let f(j) = -7*j**2 - 11*j - 8. Let b(i) = -20*i**2 - 32*i - 23. Let v(k) = 6*b(k) - 17*f(k). Let o be v(-4). Factor -3*d**4 + 0*d**o + 0*d + 2/3*d**3 + 0.
-d**3*(9*d - 2)/3
Suppose 0 = 31*b - 79 - 14. Let k(a) be the third derivative of -1/54*a**4 + 0 + 5*a**2 - 1/270*a**5 + 0*a + 0*a**b. Let k(o) = 0. Calculate o.
-2, 0
Let w(b) = -b**2 + b + 1. Let p(d) be the second derivative of -2*d**4/3 - d**3 - d**2 - d. Let i = 239 - 241. Let j(c) = i*p(c) - 4*w(c). Factor j(f).
4*f*(5*f + 2)
Factor -412/3*c + 21218/3 + 2/3*c**2.
2*(c - 103)**2/3
Suppose 0 = 3*p - 4*s + s - 78, -2*p = -s - 56. Let h be p/(-19) - (2 + 5 + -9). Find d, given that 2/19*d**3 + 0 + h*d**2 + 6/19*d = 0.
-3, -1, 0
Factor 0 + 6/11*g**2 + 2/11*g**4 - 12/11*g**3 + 20/11*g.
2*g*(g - 5)*(g - 2)*(g + 1)/11
Let k(j) = 147*j + 1325. Let o be k(-9). Determine r so that 0*r**3 - 4/7*r**4 + 32/7*r + 12/7 + 24/7*r**o = 0.
-1, 3
Factor 4*a + 16/3 - 4/3*a**2.
-4*(a - 4)*(a + 1)/3
Let d be 16/(14/7) - (1 + -1). Suppose 0 = 7*j - d*j + 2. Let -1/6*u + 1/3*u**3 + 1/6 + 1/6*u**4 - 1/6*u**5 - 1/3*u**j = 0. Calculate u.
-1, 1
Suppose -2*j + 8 = -0*j - 4*r, 4*j - 4*r = 8. What is k in 4 - 2*k**2 + j*k**2 + 4 = 0?
-2, 2
Let a(v) be the third derivative of -1/120*v**4 - 1/300*v**5 - 11*v**2 + 0*v + 1/5*v**3 + 0. Suppose a(j) = 0. What is j?
-3, 2
Let o = 1293/7 + -185. Let f = o + 4/7. Factor f*j**2 + 0*j + 0.
2*j**2/7
Let v(p) be the first derivative of 16*p**6/3 - 144*p**5/5 + 113*p**4/2 - 152*p**3/3 + 21*p**2 - 4*p + 29. Let v(n) = 0. What is n?
1/4, 1, 2
Let z be 152/24 + (12 - 17). Determine p, given that -z*p + p**3 + 2/3*p**4 - 1/3*p**5 + 0 - 4/3*p**2 = 0.
-1, 0, 2
Let s be (32/112)/(84/441). Factor -3/4*y**2 + s - 3/4*y.
-3*(y - 1)*(y + 2)/4
Let k be (15/5 - 4) + -32. Let l be (-1)/((-4 + k/(-9))/1). Factor -4/9*p**2 + 2/9*p**l + 0 + 2/9*p.
2*p*(p - 1)**2/9
Let v(y) be the first derivative of -y**5/25 - 7*y**4/20 - 8*y**3/15 + 8*y**2/5 + 76. Factor v(i).
-i*(i - 1)*(i + 4)**2/5
Let l(w) be the first derivative of 4*w**5/5 + 7*w**4 + 24*w**3 + 40*w**2 + 32*w - 83. Suppose l(s) = 0. Calculate s.
-2, -1
Solve 39/7*t - 3/7*t**2 - 90/7 = 0 for t.
3, 10
Let r = -1 + 3. Factor 1/5*c**r + 3/5 + 4/5*c.
(c + 1)*(c + 3)/5
Factor 352/13*y**3 + 6/13*y**5 + 0 + 128/13*y**2 - 94/13*y**4 + 0*y.
2*y**2*(y - 8)**2*(3*y + 1)/13
Let n be (-150)/300*((-11)/7 + 1). Factor -16/7*a**2 - 1/7*a**5 - 2*a**3 - 6/7*a**4 - 9/7*a - n.
-(a + 1)**4*(a + 2)/7
Let u(k) be the first derivative of k**6/15 + 24*k**5/25 + 9*k**4/10 - 44*k**3/15 - 82. What is x in u(x) = 0?
-11, -2, 0, 1
Suppose 0*g + 6*g - 366 = 0. Let 0 - g*v**3 + 63*v**3 + 0 = 0. Calculate v.
0
Let t(g) be the third derivative of g**5/140 + 8*g**4/7 + 512*g**3/7 + 158*g**2. Factor t(v).
3*(v + 32)**2/7
Let p(b) be the first derivative of -1/12*b**3 - 3/4*b - 1/16*b**4 + 5/8*b**2 + 1. Let p(s) = 0. What is s?
-3, 1
Let m(u) be the first derivative of u**5/50 + u**4/40 - u**3/30 - u**2/20 + 12. Factor m(b).
b*(b - 1)*(b + 1)**2/10
Suppose -8 + 38 = 5*p - 3*s, 2*p - 2*s - 16 = 0. Let 3*a**3 + 5*a**p - 15*a - 3*a**3 - 20*a**2 + 90 = 0. Calculate a.
-2, 3
Let u(m) = -6*m**3 - 3*m**2 + 3*m. Suppose -2*t = 3*t + 15. Let w(b) = 7*b**3 + 3*b**2 - 4*b. Let f(y) = t*w(y) - 4*u(y). Find q, given that f(q) = 0.
-1, 0
Let z be (-1)/((-1209)/(-204) - 6). Let a = -66/5 + z. Factor -a*q**2 + 0 + 2/5*q.
-2*q*(q - 1)/5
Let r be ((20/(-72))/((-240)/(-1008)))/(-2 - 5). Determine n, given that -8/3*n + r*n**2 + 32/3 = 0.
8
Suppose -3 + 7 = 2*g. Suppose 10*a**3 - 5*a**2 - g*a - a + 5*a**4 - a - 6*a = 0. What is a?
-2, -1, 0, 1
Let k be 2 + -1 - (-119)/(-153). Let u(x) be the first derivative of -k*x**3 + 0*x + 4 - 1/3*x**2. Solve u(m) = 0 for m.
-1, 0
Let v(h) be the second derivative of -h**4/12 + h**3/3 + 39*h**2/2 + 7*h - 3. Let f be v(7). Factor -1/3 - 1/3*a**f + 1/3*a + 1/3*a**5 + 2/3*a**2 - 2/3*a**3.
(a - 1)**3*(a + 1)**2/3
Factor 0 - 4*u**2 + 0*u - 2/5*u**3.
-2*u**2*(u + 10)/5
Let c(k) be the first derivative of k**5/20 + 3*k**4/8 - k**3/12 - 3*k**2/4 - 23. Solve c(h) = 0.
-6, -1, 0, 1
Suppose -20 + 74 = 27*p. Factor 8/11*n + 0 + 2/11*n**p.
2*n*(n + 4)/11
Let p(s) be the third derivative of -s**8/40320 - s**7/2016 - s**6/360 + 3*s**5/20 + 4*s**2. Let j(r) be the third derivative of p(r). Factor j(d).
-(d + 1)*(d + 4)/2
Let j be 3 + 2*(-2 + 4). Let -6*g**3 - 6*g**2 - 1 - j*g - g**4 + 2*g**3 + 3*g = 0. Calculate g.
-1
Suppose -2*f + 3*f = 3*p - 1, -8 = -3*f - 2*p. Let h = 1 - -2. Factor -3*z**5 - h + 9*z - 9*z**4 - 6*z**3 + 4 + 6*z**2 + f.
-3*(z - 1)*(z + 1)**4
Let y(d) be the third derivative of -d**8/26880 + d**7/2240 - d**6/480 - 19*d**5/60 + 5*d**2. Let f(c) be the third derivative of y(c). Factor f(o).
-3*(o - 2)*(o - 1)/4
Let q(y) be the second derivative of -5*y**7/231 + 8*y**6/165 + 19*y**5/110 - 17*y**4/33 + 4*y**3/33 + 8*y**2/11 - y - 18. Suppose q(j) = 0. What is j?
-2, -2/5, 1, 2
Let y(k) be the second derivative of k**4/4 - k**3 - 9*k**2/2 + 28*k. Factor y(s).
3*(s - 3)*(s + 1)
Let q(b) = b**3 + 5*b**2 + 13*b + 3. Let y(w) = -4*w**2 - 12*w - 4. Let s = 31 + -27. Let d(k) = s*q(k) + 6*y(k). Let d(h) = 0. What is h?
-1, 3
Let u(t) be the first derivative of 2*t**5/35 + 3*t**4/14 + 4*t**3/21 - 188. Let u(w) = 0. What is w?
-2, -1, 0
Let t(f) be the third derivative of -f**5/60 + 7*f**4/6 - 9*f**3/2 - 9*f**2 - 34*f. Determine y so that t(y) = 0.
1, 27
Let r(y) be the first derivative of -y**4/4 + 2*y**3/3 - y - 2. Let l be r(-1). Solve 0*k + 11 - 5 - 2*k**2 - 3*k - k**l = 0 for k.
-2, 1
Let c(x) be the first derivative of 15 - 1/11*x**4 - 2/55*x**5 + 2/3*x**3 - 72/11*x + 12/11*x**2. Determine o so that c(o) = 0.
-3, 2
Let w(b) = -b + 7. Let t be w(3). Suppose 0*c + t*c = 8. Suppose -3/7*z**3 - 27/7 - 9/7*z + 15/7*z**c = 0. Calculate z.
-1, 3
Let o(k) be the second derivative of -2*k + 0 + 6*k**2 - 1/5*k**5 + 10/3*k**3 + 1/3*k**4. Determine n so that o(n) = 0.
-1, 3
Factor -i**3 + 0 + 3/4*i - 11/4*i**2.
-i*(i + 3)*(4*i - 1)/4
Let v(u) = u**3 + 0*u**2 + 9 - 7*u**2 - 8*u**2 + 15*u. Let i be v(14). What is m in 3*m**2 + 19*m - i*m - m**2 = 0?
0, 2
Let j(y) be the third derivative of -y**5/180 + 2*y**3/9 - 2*y**2 - 10*y. What is l in j(l) = 0?
-2, 2
Let i(z) = 5*z - 17. Let s be i(8). Let d = s + -20. Factor 3*c**4 + 2*c**d - 4*c**4 + 2*c**3 + 5*c**4.
4*c**3*(c + 1)
Let z be (4/10)/(10/4500). Solve -86*r**2 - 89*r**2 + z*r**2 - 10*r = 0 for r.
0, 2
Let y(s) be the first derivative of 1/25*s**5 + 6/5*s**4 + 72/5*s**3 + 432/5*s**2 + 1296/5*s - 11. Suppose y(j) = 0. What is j?
-6
What is m in -2/9*m**3 - 2590/9*m - 2738/9 + 146/9*m**2 = 0?
-1, 37
Factor -43*s**2 + 8*s**3 - 35*s + 83*s**2 - 40 + 10*s**3 + 17*s**3.
5*(s - 1)*(s + 1)*(7*s + 8)
Suppose 5*a - 6*a = -8. Suppose 0 = 2*c - n - a, 2*n - n = -2*c. Factor 2*d**c - 9*d**3 - 8*d**2 + 4*d**3 - 4*d + 3*d**3.
-2*d*(d + 1)*(d + 2)
Suppose 0 = -c + 2*c. Let r be (-2 - -4) + (-2 - c). Factor r*b**2 - 2*b**2 - 3*b**3 - 1 - b**4 + 1.
-b**2*(b + 1)*(b + 2)
Let s = 356 + -219. Let n = 965/7 - s. Solve -8/7*f**2 + 2/7 + n*f = 0 for f.
-1/4, 1
Solve -2/11*y**3 + 0*y + 8/11*y**2 + 0 = 0.
0, 4
Suppose 3*y - y = -3*d + 22, 4*d - 21 = -y. Let d + 5*l**2 + 6*l**2 - 12*l**2 = 0. What is l?
-2, 2
Let c(r) be the first derivative of r**6/2340 - r**5/260 + r**4/78 - 8*r**3/3 - r**2/2 + 20. Let a(g) be the third derivative of c(g). Factor a(h).
2*(h - 2)*(h - 1)/13
Let k(c) be the first derivative of 5/4*c**2 - 15 + 0*c - 1/6*c**3. Factor k(i).
-i*(i - 5)/2
Let b = -138 - -141. Let c(q) be the first derivative of 2/3*q**b + 4*q**2 + 8*q + 9. What is m in c(m) = 0?
-2
Solve -27/5 - 384/5*i**2 + 12/5*i**5 - 186/5*i - 69/5*i**4 - 306/5*i**3 = 0.
-1, -1/4, 9
Let -15*n**2 + 40*n + 94 + 86*n**3 - 40*n**2 + 6 - 81*n**3 = 0. What is n?
-1, 2, 10
Let x(c) be the third derivative of c**5/30 + 97*c**4/48 + 2*c**3 + 21*c**2. Factor x(y).
(y + 24)*(4*y + 1)/2
Let y(h) be the first derivative of -h**4/4 - 16*h**3/3 - 8*h**2 - 13*h + 4. Let l be y(-15). Suppose -14 +