
Let a(g) be the third derivative of g**7/70 - 187*g**6/280 + 32*g**5/35 + 13*g**4/14 - 703*g**2. Find q such that a(q) = 0.
-2/7, 0, 1, 26
Suppose 21 - 41 = -5*q. Let y(s) be the third derivative of 0 + 1/42*s**q + 0*s**3 - 1/210*s**5 + 0*s + 7*s**2. Factor y(g).
-2*g*(g - 2)/7
Factor -1777*p - 1814*p + 84 + 4*p**2 + 3679*p.
4*(p + 1)*(p + 21)
Let r(x) be the second derivative of -3/8*x**4 + 0 - 44*x - 3/40*x**5 + 0*x**2 + x**3. Find q, given that r(q) = 0.
-4, 0, 1
Let k(o) be the third derivative of 2*o**7/105 - 29*o**6/30 + 74*o**5/5 - 70*o**4/3 - 784*o**3/3 + 213*o**2. Solve k(z) = 0.
-1, 2, 14
Let z(t) = -t**2 + t. Let v(i) = -3*i**2 - 42*i. Let y be (-7 + -1 + 5)/3. Let b(f) = y*v(f) + 6*z(f). Suppose b(a) = 0. Calculate a.
0, 16
Let z be (15/2)/((-36)/(-24)). Suppose -3*x - z = -23. Solve x - 23*k**2 + 9*k - 24*k**2 + 50*k**2 = 0.
-2, -1
Let o = 9245 + -18489/2. Solve -1/2*c**3 + 1/6*c**2 + o*c**4 + 0 - 1/6*c**5 + 0*c = 0.
0, 1
Let b(k) be the second derivative of 2/3*k**2 - 21*k + 0 - 1/18*k**4 + 1/9*k**3. Let b(z) = 0. What is z?
-1, 2
Let j be 2/(-4) + (-15)/(-6). Determine a so that 0*a**2 - j*a**2 - 10 + 2 - 8*a = 0.
-2
Let h(m) be the third derivative of m**9/1512 - m**8/420 - m**7/420 + m**6/90 + 7*m**3/2 + 23*m**2. Let x(s) be the first derivative of h(s). Factor x(y).
2*y**2*(y - 2)*(y - 1)*(y + 1)
Determine a so that -893*a**2 + 1607*a**2 + 2500*a**4 + 98*a + 1587*a**2 - 4900*a**3 + 1 = 0.
-1/50, 1
Let d(i) be the second derivative of i**8/33600 + i**7/12600 - 5*i**4/4 - 14*i. Let a(x) be the third derivative of d(x). Factor a(n).
n**2*(n + 1)/5
Let d be ((-4536)/45)/14 + 8. Factor 8/5*g**3 + d*g**4 - 16/5 - 12/5*g**2 - 32/5*g.
4*(g - 2)*(g + 1)**2*(g + 2)/5
Suppose 3 + 2 = c. Suppose c*u - u = 28. Factor h**2 + h - u*h + 5*h.
h*(h - 1)
Let o(v) = 30*v - 51. Let u(x) = -x**2 - 30*x + 52. Let c(t) = -4*o(t) - 3*u(t). Suppose c(l) = 0. Calculate l.
2, 8
Let c(o) = 2*o**2 - 152*o + 141. Let u(g) = g**2 - g + 3. Let p(y) = -c(y) - 3*u(y). Find z such that p(z) = 0.
1, 30
Suppose 223*s - 21 = 216*s. Let q(r) be the first derivative of 11 + 2/9*r**s + 0*r + 1/3*r**2. Determine u, given that q(u) = 0.
-1, 0
Let s(m) be the third derivative of -m**5/12 + 5*m**4/2 + 117*m**2. Determine l, given that s(l) = 0.
0, 12
Let n = 13979 + -13977. Factor 5/4 + 0*d - 5/4*d**n.
-5*(d - 1)*(d + 1)/4
Let s(t) be the second derivative of t**7/42 - 7*t**5/20 + t**4/6 + 2*t**3 - 4*t**2 + 26*t + 2. Let s(q) = 0. What is q?
-2, 1, 2
Suppose -4*j = 0, -6*v - 2*j - 15 = -11*v. Factor -56*b**2 - 10*b**4 - 3*b**4 + v*b**4 - 7*b + 23*b + 44*b**3.
-2*b*(b - 2)**2*(5*b - 2)
Let f(i) be the first derivative of i**5/20 - i**4/4 + 5*i**3/12 - i**2/4 + 125. Factor f(q).
q*(q - 2)*(q - 1)**2/4
Let m = -1479 + 7397/5. Suppose -1/5*u**2 + 0*u - m*u**3 + 0 - 1/5*u**4 = 0. Calculate u.
-1, 0
Factor 5*p + 623*p**3 - 608*p**3 - 47*p**2 + p + 14*p**2.
3*p*(p - 2)*(5*p - 1)
Let p(o) be the third derivative of -3*o**7/14 - 43*o**6/40 + 3*o**5/10 - 55*o**2. Let p(v) = 0. Calculate v.
-3, 0, 2/15
Let w(f) be the second derivative of -2*f**6/15 - 4*f**5/5 - f**4 + 8*f**3/3 + 8*f**2 - 4*f - 5. Solve w(o) = 0 for o.
-2, -1, 1
Let m(i) be the second derivative of 7/66*i**4 + 7*i - 1/22*i**5 + 1/165*i**6 - 1/11*i**3 + 0*i**2 + 0. Let m(z) = 0. What is z?
0, 1, 3
Let w(k) be the first derivative of -k**7/420 - k**6/120 - k**5/120 + 9*k**2/2 + 8. Let y(a) be the second derivative of w(a). Determine u so that y(u) = 0.
-1, 0
Find l such that 0 + 21/2*l**2 - 9/2*l = 0.
0, 3/7
Suppose -u - 18 = -3*u. Factor -2*g**3 - u*g - 6*g + 2 + 17*g - 2*g**2.
-2*(g - 1)*(g + 1)**2
Let y(w) = -78*w**2 - 1737*w - 537. Let k(q) = -11*q**2 - 248*q - 77. Let i(f) = -15*k(f) + 2*y(f). Factor i(v).
3*(v + 27)*(3*v + 1)
Suppose 11/6*b**2 - 2/3*b**5 - 1/3*b - 7/2*b**3 + 0 + 8/3*b**4 = 0. Calculate b.
0, 1/2, 1, 2
Let k be (-8)/24*(-285)/38. Factor -2*z**3 + 0 - z - 1/2*z**4 - k*z**2.
-z*(z + 1)**2*(z + 2)/2
Let a = 16401/40 + -410. Let f(j) be the second derivative of 0 - 1/12*j**3 + 0*j**2 + 0*j**4 - 4*j + a*j**5. Factor f(r).
r*(r - 1)*(r + 1)/2
Let 10*t**3 - 2*t**4 - 1373*t - 4*t**2 + 2733*t - 1376*t = 0. Calculate t.
-1, 0, 2, 4
What is v in -5461 - 8317 - 191*v - 141*v - 7*v**2 + 5*v**2 = 0?
-83
Let m(u) = u**2 + 29*u - 15. Let q(g) = 8 + 2 - 24 + 30*g + 2*g**2. Let f(a) = -6*m(a) + 5*q(a). Let f(c) = 0. Calculate c.
1, 5
Determine d so that -22/7*d**3 + 0 - 2/7*d**4 - 32/7*d - 52/7*d**2 = 0.
-8, -2, -1, 0
Let o(v) be the second derivative of -v**4/54 - 8*v**3/27 - 4*v**2/3 + 4*v + 19. Determine i so that o(i) = 0.
-6, -2
Let k(x) = -x**4 - 10*x**3 - 5*x**2 + 10*x + 6. Let w(b) = b**4 + 9*b**3 + 3*b**2 - 10*b - 5. Let s(m) = -5*k(m) - 6*w(m). Suppose s(a) = 0. What is a?
-5, -1, 0, 2
Let y be 2/44*0/349. Let 2/11*d**3 - 4/11 + y*d**2 - 6/11*d = 0. Calculate d.
-1, 2
Let m(q) be the third derivative of 1/15*q**5 + 6*q**2 + 98/3*q**3 + 7/3*q**4 + 0 + 0*q. Solve m(p) = 0.
-7
Let p be 118/1593 + (-142)/(-270). Factor 9/10 - p*z + 1/10*z**2.
(z - 3)**2/10
Let z be (-14)/4*(-8)/7. Factor 4*v + 2*v**2 - 2*v**z + 80 - 4*v**3 - 80.
-2*v*(v - 1)*(v + 1)*(v + 2)
Factor -25 - 245*i**3 - 113*i**2 + 25 + 233*i**2 + 130*i**4 - 5*i**5.
-5*i**2*(i - 24)*(i - 1)**2
Let g = 13 - 13. Let k(x) be the third derivative of g + 0*x**3 - 1/240*x**5 + 0*x**4 + 0*x - 4*x**2. Factor k(u).
-u**2/4
Factor -2/5*x**3 - 1/5*x**4 + 1/5 + 0*x**2 + 2/5*x.
-(x - 1)*(x + 1)**3/5
Let n(t) be the first derivative of -t**3/5 + 3*t**2 + 72*t/5 - 127. Factor n(h).
-3*(h - 12)*(h + 2)/5
Find n, given that -10 + 15/4*n**2 + 25/2*n = 0.
-4, 2/3
Let z be -1 - (-1 + 3)*-2. Suppose 0 = -l + 4*m - 62 + 82, 2*m = -10. Factor 2/3*q**z + 0*q**2 + 0*q + l.
2*q**3/3
Solve 3/4*c**5 + 0 - 3/2*c**4 + 3*c**2 - 9/4*c**3 + 3*c = 0 for c.
-1, 0, 2
Suppose -2*h + 6 + 2 = 0. Suppose -7*q**2 - h*q**2 + 15*q**2 = 0. Calculate q.
0
Let l(i) be the second derivative of 0 + 34*i - 12*i**2 - 16/3*i**3 - 1/10*i**5 - 7/6*i**4. Factor l(x).
-2*(x + 2)**2*(x + 3)
Let r(o) = -5*o**3 + 12*o**2 - 37*o - 102. Let q(n) = 52*n**3 - 132*n**2 + 408*n + 1120. Let b(v) = -3*q(v) - 32*r(v). Let b(f) = 0. What is f?
-4, -2, 3
Suppose 0 + 1/9*l**3 + 1/9*l**4 + 0*l + 0*l**2 = 0. What is l?
-1, 0
Suppose -4*o + 25 = 5*x + 5, -4*x = -o - 16. Let p(g) be the first derivative of 5 + o*g**2 - 2/33*g**3 + 0*g. Factor p(i).
-2*i**2/11
Let w(t) be the second derivative of t**6/20 + t**5/6 - t**4/3 - 4*t**3/3 - 3*t**2 + t. Let a(y) be the first derivative of w(y). Factor a(b).
2*(b - 1)*(b + 2)*(3*b + 2)
Suppose 0 = 3*c + 5*b - 27, 0 = -c + 39*b - 40*b + 7. Let r be ((-3)/2)/(15/(-4)). Suppose 0 - r*i**2 + 7/5*i**3 + 0*i - i**c = 0. What is i?
0, 2/5, 1
Let l = 30253 + -30251. Let -1/3*z**3 - 1/3*z**5 + 2/3*z**4 + 0 + 0*z**l + 0*z = 0. What is z?
0, 1
Let x(g) be the first derivative of 2*g**3/15 - 24*g**2/5 - 104*g/5 - 97. Find q, given that x(q) = 0.
-2, 26
Let r(y) = 3*y**2 + 52*y - 49. Let l(u) = 15*u**2 + 210*u - 198. Let q(g) = -2*l(g) + 9*r(g). Factor q(o).
-3*(o - 15)*(o - 1)
Let k be ((-42)/(-7))/(-2 - -4). Find l such that 0 - 3/8*l**k - 3/2*l + 3/2*l**2 = 0.
0, 2
Let n = -78 - -174. Factor -36*c**3 - n*c**2 - 11 - 2 - 52*c + 5.
-4*(c + 2)*(3*c + 1)**2
Let i(m) be the second derivative of m**8/560 + 7*m**3/3 - 45*m. Let n(d) be the second derivative of i(d). Find f such that n(f) = 0.
0
Let q(l) be the first derivative of l**4/18 - 4*l**3/9 + 11*l**2/9 - 4*l/3 - 174. Suppose q(c) = 0. Calculate c.
1, 2, 3
Let x(i) be the first derivative of 4*i + 1/2*i**4 - 3*i**2 - 2/3*i**3 - 4. Let a(h) = 2*h**3 - 3*h**2 - 6*h + 4. Let m(o) = -2*a(o) + 3*x(o). Factor m(k).
2*(k - 1)**2*(k + 2)
Let r(b) = b**2. Let h(v) = 2*v**2. Suppose -2 = j + o - 0, 5*j - 5*o = 40. Let u(p) = 11*p - 49. Let g be u(4). Let l(t) = g*r(t) + j*h(t). Factor l(y).
y**2
Let c = -5 + 7. Suppose 2*p - c - 2 = 0. Factor -9*y**2 - 3*y + 4*y**2 + 2*y**p.
-3*y*(y + 1)
Suppose -g + 15 = -5*q + 5, -2*q = -g + 4. Suppose -w - 4*a = 0, 0 = -5*w + 4*a - a. Factor -2/13*h**4 + g*h + 4/13*h**2 - 2/13*h**3 + w.
-2*h**2*(h - 1)*(h + 2)/13
Let v(g) = 2*g**2 + 58*g. Let o be v(-29). Factor o + 4/5*i**3 + 0*i**2 - 4/5*i.
4*i*(i - 1)*(i + 1)/5
Let v(g) be the second derivative of -1/6*g**3 - 23*g - 1/20*g**5 + 0 - 1/6*g**4 + 0*g**2. De