11
Let o = 198 + -194. Let i(g) be the first derivative of 0*g - 6 - 10/9*g**3 - 1/10*g**5 + 2/3*g**2 + 7/12*g**o. Factor i(y).
-y*(y - 2)**2*(3*y - 2)/6
Let l(y) be the third derivative of y**8/1512 - y**7/189 + y**6/90 + 2*y**5/135 - 2*y**4/27 - 2*y**2 - 13. Factor l(v).
2*v*(v - 2)**3*(v + 1)/9
Suppose 0 = 7*s - 12 - 44. Let h be s/(-6)*(-27)/144. What is z in 5/4*z**3 - z**4 + h*z**5 + 0 - 1/2*z**2 + 0*z = 0?
0, 1, 2
Let u(v) be the second derivative of -v**4/84 + v**3/14 - v**2/7 + 175*v. Let u(j) = 0. Calculate j.
1, 2
Let y = 53561/390 + -412/3. Let l(d) be the third derivative of 0 + 0*d**4 - 1/1365*d**7 + 0*d - 1/390*d**5 + 0*d**3 + 2*d**2 + y*d**6. Factor l(i).
-2*i**2*(i - 1)**2/13
Let g(c) be the third derivative of 15*c**2 + 0*c + 0*c**4 + 0*c**3 + 1/210*c**7 + 0*c**5 + 1/672*c**8 + 0 + 1/240*c**6. Let g(d) = 0. What is d?
-1, 0
Let f be (-6)/4*318/(-918). Let n = f - 6/17. Let n*y**3 + 2/3 + 5/6*y**2 + 4/3*y = 0. Calculate y.
-2, -1
Suppose 5*c**5 - 4*c**5 - 50*c**2 + c**5 - 8 + 38*c**3 + 0*c**5 - 14*c**4 + 32*c = 0. Calculate c.
1, 2
Let d(w) = -w**4 - w**3 + w**2. Let v(k) = -4*k**4 - 2*k**3 + 5*k**2. Let n be ((-18)/54)/(1*1/3). Let p(r) = n*v(r) + 3*d(r). Solve p(a) = 0 for a.
-1, 0, 2
Let k be 1/6 + ((-89528)/(-624))/(-31). Let a = k + 60/13. Solve 0*u**2 + 0*u**4 + 0 + 0*u - a*u**3 + 2/13*u**5 = 0 for u.
-1, 0, 1
Let -2/7*a + 0 + 2/7*a**4 - 2/7*a**2 + 2/7*a**3 = 0. Calculate a.
-1, 0, 1
Suppose 3*h + 53 = 62. Solve -t**2 - 5*t + 5 + 20*t**3 - 4*t**2 + 10*t**h - 25*t**3 = 0 for t.
-1, 1
Let c(u) be the third derivative of -8*u**2 + 0 + 0*u + 1/6*u**3 - 1/16*u**4 + 1/120*u**5. Solve c(f) = 0 for f.
1, 2
Let h be (-2)/(-6)*(525/(-45) + 8) - -3. Factor -32/9 + 40/9*x**2 - h*x - 4/3*x**3.
-4*(x - 2)**2*(3*x + 2)/9
Let f(p) be the second derivative of 0*p**3 + 0*p**4 + 0 + 3/140*p**5 + 0*p**2 + 7*p + 1/70*p**6. Factor f(b).
3*b**3*(b + 1)/7
Let m(q) be the third derivative of q**5/30 - q**4/15 + 557*q**2. Factor m(z).
2*z*(5*z - 4)/5
Let t(a) be the third derivative of -a**6/480 - a**5/48 - a**4/48 + a**3/3 - 8*a**2 - 20*a. Factor t(s).
-(s - 1)*(s + 2)*(s + 4)/4
Let t be 1*1/24*66/99. Let d(c) be the second derivative of -t*c**3 + 0*c**2 - 1/120*c**5 - 1/36*c**4 + 0 + 2*c. Let d(j) = 0. What is j?
-1, 0
Let o(m) = 4*m - 17. Let y be o(5). Factor -w**3 - 5*w**y - 11*w**2 - 6*w**4 - 2*w**5 + 9*w**2.
-2*w**2*(w + 1)**3
Let s = 23/4 - 59/12. Let q be (-50)/(-1125) + (-77)/(-630). Factor -s*v**2 - q*v**3 + 1/6*v + 1/3 + 1/2*v**4.
(v - 1)**2*(v + 1)*(3*v + 2)/6
Suppose -5*o + 3*s + 18 = 0, 3*o - 36*s = -40*s + 5. Find z, given that -40/23*z - 14/23*z**2 - 8/23 + 18/23*z**o = 0.
-1, -2/9, 2
Let a(w) be the second derivative of 0 - 1/15*w**6 - 16/3*w**4 + 36*w + 32/3*w**3 + 0*w**2 + w**5. Find c such that a(c) = 0.
0, 2, 4
Suppose 30*x - 1/4*x**2 + 0 = 0. Calculate x.
0, 120
Let b(m) be the third derivative of m**6/40 + m**5/20 - m**4/2 - 2*m**3 - 59*m**2. Factor b(h).
3*(h - 2)*(h + 1)*(h + 2)
Let m(x) be the second derivative of 1/9*x**7 + 0*x**2 - 1 + 2*x - 16/27*x**4 + 83/90*x**5 - 76/135*x**6 + 4/27*x**3. Suppose m(l) = 0. Calculate l.
0, 2/7, 1/3, 1, 2
Let q(n) = n**3 - 5*n**2 + 5*n - 2. Let o be q(4). Let -3*x + 6 - 12*x + x**o + x**2 + 7*x**2 = 0. Calculate x.
2/3, 1
Let g(o) be the third derivative of -5/16*o**4 + 0 + 3/2*o**3 + 1/40*o**5 + 13*o**2 + 0*o. Determine m so that g(m) = 0.
2, 3
Determine s so that -2*s**2 + 0 + 1/2*s**4 + 23/4*s**5 - 23*s**3 + 0*s = 0.
-2, -2/23, 0, 2
What is b in 2048/5 + 64/5*b**3 + 2/5*b**5 + 256/5*b**2 - 1536/5*b - 24/5*b**4 = 0?
-4, 4
Determine v, given that -81/7*v + 0 + 9/7*v**3 + 27/7*v**2 - 3/7*v**4 = 0.
-3, 0, 3
Let z be 6 + 5*4/(-20). Let q(h) be the second derivative of -1/14*h**4 + 1/70*h**z + 9*h + 1/105*h**6 + 2/7*h**2 + 0 - 1/21*h**3. Factor q(t).
2*(t - 1)**2*(t + 1)*(t + 2)/7
Let m(h) be the second derivative of -h**7/3780 - h**6/540 - h**4/3 + 2*h - 25. Let w(o) be the third derivative of m(o). Find c, given that w(c) = 0.
-2, 0
Let a(t) = t**2 - 10*t - 9. Let w be a(11). Suppose -o - 26 = -w*o. Suppose 5*s**3 + 10*s - o*s - 17*s**3 + 24*s**2 + 2*s**4 = 0. Calculate s.
0, 2
Let b = -3434 - -3436. Factor 1/6*v**b + v + 5/6.
(v + 1)*(v + 5)/6
Let g = 28 + -25. Suppose 16*t + 8 - 2*t - 2*t + 0 - 4*t**g = 0. What is t?
-1, 2
Let n(u) be the first derivative of u**4/4 + 4*u**3/3 - 7*u**2/2 - 10*u - 29. Suppose n(m) = 0. What is m?
-5, -1, 2
Suppose 2*w - 8 = l, l - 22 = -14*w + 10*w. Factor 31/2*c**l + 0 - 2*c - 8*c**4 - 28*c**3.
-c*(c + 4)*(4*c - 1)**2/2
Let g = -50320/3 + 16780. Determine h, given that -4*h**2 + g*h + 8/3 = 0.
-1/3, 2
Let m(f) = -4*f + 148. Let c be m(37). Let b(v) be the third derivative of -1/13*v**3 - v**2 + 1/390*v**5 + 0*v + c + 1/78*v**4. Let b(h) = 0. What is h?
-3, 1
Let b be (6/(-8))/(0 + (-13)/52). What is k in 9/5*k**b + 3/5*k**5 + 0 + 12/5*k**2 - 12/5*k**4 - 12/5*k = 0?
-1, 0, 1, 2
Let b(k) be the first derivative of -k**4/16 + 41*k**3/12 + k**2/8 - 41*k/4 - 299. Factor b(a).
-(a - 41)*(a - 1)*(a + 1)/4
Let j(i) be the third derivative of -i**8/280 - 17*i**7/175 - 99*i**6/100 - 207*i**5/50 + 324*i**3/5 - 253*i**2. Find c such that j(c) = 0.
-6, -3, 1
Let v(z) be the third derivative of -z**6/30 + 4*z**5/5 + 13*z**4/6 - 56*z**2. Suppose v(i) = 0. What is i?
-1, 0, 13
Let y = -18 - -25. Suppose -q + 3*n + y + 8 = 0, 0 = q + 3*n + 9. Let 0*m**q + m**3 + 0*m**3 - m**2 = 0. What is m?
0, 1
Let p(r) be the third derivative of r**8/840 + r**7/175 - r**6/30 + r**2 + 20*r. Let p(t) = 0. What is t?
-5, 0, 2
Suppose -f - 2*f - 6 = -4*c, 5*f + 4*c - 22 = 0. What is k in -6*k + 3*k**f + 5*k + k = 0?
0
Factor -1/6*i**3 - 4/3 + 5/2*i - i**2.
-(i - 1)**2*(i + 8)/6
Let a be 3*(-9)/((-27)/2). Let c = 3 + a. Suppose d**3 - d - c*d + 2*d**3 + 3*d = 0. What is d?
-1, 0, 1
Let y(a) = a**3 + 26*a**2 + 46*a + 529. Let v be y(-25). Let 0*j**2 - 27/8*j**5 - 3/8*j**3 + 0*j + 0 - 9/4*j**v = 0. What is j?
-1/3, 0
Let j(s) be the second derivative of -s**9/68040 + s**7/11340 + s**4 - 26*s. Let r(g) be the third derivative of j(g). Suppose r(i) = 0. Calculate i.
-1, 0, 1
Let u(r) = r**3 - 4. Let m be u(2). Let o(k) be the second derivative of 0*k**2 - 1/30*k**6 + k - 1/4*k**m - 3/20*k**5 - 1/6*k**3 + 0. Let o(f) = 0. What is f?
-1, 0
Let s(k) be the third derivative of k**8/23520 + k**7/1764 + k**6/315 + k**5/105 + k**4/3 - 4*k**2. Let j(n) be the second derivative of s(n). Factor j(a).
2*(a + 1)*(a + 2)**2/7
Suppose -11 = 3*v - 17. Let m be (-13)/(-4) - v/8. Factor 9*y**3 - m*y**5 - 8*y - 15*y**2 + 3*y**4 + 29*y - 15*y.
-3*y*(y - 1)**3*(y + 2)
Let z(u) be the third derivative of -u**7/126 - 19*u**6/36 - 13*u**5 - 4225*u**4/36 + 10985*u**3/18 + 2*u**2 - 151*u. Factor z(o).
-5*(o - 1)*(o + 13)**3/3
Let d be 7/1 - (98/(-21))/(55/(-66)). Factor -37/5*o + d*o**5 - 2/5*o**4 + 6/5 + 68/5*o**2 - 42/5*o**3.
(o - 1)**3*(o + 3)*(7*o - 2)/5
Let o(w) be the third derivative of -w**5/100 + w**4/5 + 2*w**3 + 291*w**2. Factor o(p).
-3*(p - 10)*(p + 2)/5
Let v(j) be the first derivative of -j**6/120 - j**5/30 - j**4/24 - 6*j**2 + 11. Let y(b) be the second derivative of v(b). Factor y(t).
-t*(t + 1)**2
Let r(u) be the second derivative of u**7/7980 - u**6/1710 - u**5/1140 + u**4/114 + 7*u**3/3 - 6*u. Let f(s) be the second derivative of r(s). Solve f(p) = 0.
-1, 1, 2
Suppose 4*p + 5*g + 8 = 29, p + 4*g - 8 = 0. Let n(y) be the second derivative of 13/4*y**3 + 7*y + 9/2*y**2 + 0 - 5/8*y**p. Factor n(t).
-3*(t - 3)*(5*t + 2)/2
Let j be ((-3)/4)/((-12)/32). Let x be (-7 - (-135)/18) + 1/(-18). Factor -2/3*y + x - 4/9*y**j.
-2*(y + 2)*(2*y - 1)/9
Let v = -17750 - -35501/2. Suppose 0*i + v*i**4 - 1/6*i**3 + 2/3 + 1/6*i**5 - 7/6*i**2 = 0. Calculate i.
-2, -1, 1
Suppose -5*h = -8 - 12. Let q be 150/24 - 1/h. Solve q*k**4 + 6*k - 7*k - 6*k**2 - 2*k + 3*k**5 = 0 for k.
-1, 0, 1
Suppose 0 = 2*j - 8 + 4. Let 36*f - 8 + 56*f**2 + 50*f**j - 122*f**2 = 0. Calculate f.
1/4, 2
Let f(y) be the first derivative of -y**3/4 - 15*y**2/8 - 3*y - 85. Suppose f(v) = 0. What is v?
-4, -1
Suppose -5*d**3 + 8 + 21*d**3 + 4*d + 32*d**4 - 33*d**2 - d**2 + 2*d**5 - 22*d**5 - 6*d**2 = 0. What is d?
-1, -2/5, 1
Let z be 1728/(-1440) - (-116)/30. Let -z*n**2 + 4/3 + 4/3*n**4 + 2/3*n**5 + 2/3*n - 4/3*n**3 = 0. Calculate n.
-2, -1