*u**3 + 0*u.
-3*u*(u + 1)**2
Let t(r) be the second derivative of -r**6/30 + r**4/2 - 4*r**3/3 - 21*r**2/2 + 33*r. Let m(c) be the first derivative of t(c). Factor m(x).
-4*(x - 1)**2*(x + 2)
Let q = 1435 - 1430. Let b(h) be the third derivative of 1/80*h**6 + 0*h**q + 0*h**3 + 0*h**4 + 0*h + 0 - 10*h**2 - 1/280*h**7. Let b(t) = 0. Calculate t.
0, 2
Let o(z) = z**2 - 6*z + 11. Let f be o(2). Let a be f*2/(-27) + 138/135. Factor 2/5*q**2 - a*q + 0.
2*q*(q - 2)/5
Let i be (-11835)/(-31563) + 4/14. Let a = i - -1/167. What is u in -17/6*u - a*u**2 - 2/3 = 0?
-4, -1/4
Let l = -52 + 54. Find j, given that 2*j + 5*j**2 + 2*j**l - 5*j**2 + 0*j = 0.
-1, 0
Let g(o) = 0*o + o**2 + 19 + 17*o + 0*o. Let f be g(-16). Let -35*n**f + 25*n + 5*n**4 - 5*n**5 + 6*n**5 + 0*n**2 + 5*n**2 - 10 + 9*n**5 = 0. Calculate n.
-2, -1, 1/2, 1
Let b = -204 - -6121/30. Let j(f) be the second derivative of 5*f + 0*f**2 + b*f**6 + 5/12*f**4 + 1/5*f**5 + 0 + 1/3*f**3. Determine u so that j(u) = 0.
-2, -1, 0
Factor 0*m + 0 + 8/9*m**2 + 2/9*m**3.
2*m**2*(m + 4)/9
Suppose -2*p - 155 = -159. Let n(r) be the first derivative of 6*r**p - 3*r + 1 + 3*r**4 - 6*r**3 - 3/5*r**5. Let n(k) = 0. What is k?
1
Let j(z) be the first derivative of -z**6/216 + z**5/18 + 25*z**4/72 + 14*z**3 + 25. Let p(w) be the third derivative of j(w). Determine g so that p(g) = 0.
-1, 5
Let u(m) be the first derivative of m**3/2 - 9*m**2 - 96*m + 54. Find g such that u(g) = 0.
-4, 16
Let i(s) = -198*s**3 - 2012*s**2 - 2430*s - 894. Let z(y) = -18*y**3 - 183*y**2 - 221*y - 81. Let j(f) = -6*i(f) + 68*z(f). Suppose j(m) = 0. Calculate m.
-9, -2/3
Suppose -374*z + 375*z = -2. Let y be (z - 3 - 329/(-63))*6. Factor -2/3*b + y - 2/3*b**2.
-2*(b - 1)*(b + 2)/3
Let w(y) be the first derivative of -y**4/4 - y**3/3 + 244. Factor w(d).
-d**2*(d + 1)
Let q be (2/12)/((-450)/(-20)). Let d(r) be the third derivative of 0 - q*r**5 + 0*r**3 - 1/180*r**6 + 4*r**2 + 0*r**4 + 0*r - 1/945*r**7. Factor d(y).
-2*y**2*(y + 1)*(y + 2)/9
Let w(q) be the third derivative of 0*q + 5/4*q**4 - 3/5*q**5 + 18*q**2 - 1/70*q**7 - 3/2*q**3 + 0 + 3/20*q**6. Suppose w(n) = 0. Calculate n.
1, 3
Let q(t) be the first derivative of -t**6/18 + 2*t**5/15 + 13*t**4/12 + 10*t**3/9 - 67. Suppose q(f) = 0. What is f?
-2, -1, 0, 5
Let a(s) = -s**2 + 3*s + 4. Let q be a(-3). Let z be (21/q)/((-1)/2). Factor -2*w - 1 - 3 + 3*w**2 + 2*w**2 + 2*w**z - w**2.
2*(w - 1)*(w + 1)*(w + 2)
Suppose 4*u = -0*u + 336. Let r be 2/(-6) - (-52)/u. Suppose r*b**2 - 4/7*b + 0 + 2/7*b**3 = 0. Calculate b.
-2, 0, 1
Let x(w) be the first derivative of w**7/70 - w**6/20 - 5*w**2/2 - 2. Let f(o) be the second derivative of x(o). Find b, given that f(b) = 0.
0, 2
Let u be 390/400 - ((-90)/(-16))/15. Factor -3/5*h**5 + 9/5*h**4 - 9/5*h**3 + u*h**2 + 0 + 0*h.
-3*h**2*(h - 1)**3/5
Factor -13 + 14*u + 28*u**2 + 25*u**2 - 7 - 55*u**2.
-2*(u - 5)*(u - 2)
Suppose 5*s = -10*w + 6*w - 1, 0 = -4*s - 20. Suppose 2 = -w*k + 14. Factor 0 - 1/3*l**k - 1/3*l**3 + 0*l.
-l**2*(l + 1)/3
Let s be (20/5)/4*-1. Let n be -7 - -3 - (s + -3). Solve -1/7*t**3 + n*t**2 + 0*t + 0 = 0 for t.
0
Let q = 1778 + -14223/8. Determine k so that 0 - 5/8*k**2 + q*k = 0.
0, 1/5
Suppose -18*r + 46 = -26. Let s be 1 + (48/(-15))/r. Factor -1/5*z - s*z**2 + 2/5.
-(z - 1)*(z + 2)/5
Let b be (-3724)/(-392) + (-11)/2. Factor -1/6*i**3 + 0*i**2 + 0*i + 1/6*i**b + 0.
i**3*(i - 1)/6
Let d(k) be the third derivative of k**8/112 + 8*k**7/105 + k**6/8 - k**5/10 - k**4/3 + 2*k**2 - 19*k. Factor d(c).
c*(c + 1)**2*(c + 4)*(3*c - 2)
Factor -1/6*k**2 - 3/2 + 5/3*k.
-(k - 9)*(k - 1)/6
Let m(a) = a**4 - 2*a**3 + a**2 + 2. Let y(p) = 15627*p**4 + 3746*p**3 + 302*p**2 + 8*p + 4. Let z(s) = -4*m(s) + 2*y(s). Find u, given that z(u) = 0.
-2/25, 0
Let z(i) = 3*i**4 + 31*i**3 + 12*i**2 - 22*i + 6. Let q(o) = 2*o**3 - o - 1. Let b(m) = 6*q(m) + z(m). Solve b(t) = 0.
-14, -1, 0, 2/3
Let p = -1164 + 1169. Suppose 0 + 18/5*v**3 + 8/5*v**p + 22/5*v**4 + 2/5*v**2 - 2/5*v = 0. What is v?
-1, 0, 1/4
Let x be (1 + -1)/(16/(-8) - -12 - 8). Suppose 0*h + 1/4*h**5 - 3/4*h**4 + h**2 + 0 + x*h**3 = 0. Calculate h.
-1, 0, 2
Let g(h) be the first derivative of h**6/33 + 6*h**5/11 + 37*h**4/11 + 8*h**3 + 72*h**2/11 + 81. Find d such that g(d) = 0.
-6, -2, -1, 0
Let f(t) = t**2 + 10*t - 28*t - 34*t + 7*t**2 + 8. Let r(a) = -3*a**2 + 18*a - 3. Let h(p) = -6*f(p) - 17*r(p). Determine o, given that h(o) = 0.
-1
Let p(i) be the first derivative of -i**9/756 + i**8/140 - i**7/105 - 3*i**3 + 5. Let x(b) be the third derivative of p(b). Find u, given that x(u) = 0.
0, 1, 2
Let j(m) be the third derivative of -m**9/15120 - m**8/1008 - 2*m**7/315 - m**6/45 - m**5/6 - 9*m**2. Let n(q) be the third derivative of j(q). Factor n(u).
-4*(u + 1)*(u + 2)**2
Let t(m) = -2*m**4 - m**3 + 7*m**2 - 6*m. Let j(a) = a**3. Let r(u) = -10*j(u) - 5*t(u). Factor r(k).
5*k*(k - 1)*(k + 2)*(2*k - 3)
Suppose -3*t - 2*m + 2 = -40, -3*t = 5*m - 33. Suppose 11*x - t*x + 10 = 0. Suppose -4*j + x*j**2 - 7*j + 2 - 3*j + 10*j = 0. Calculate j.
1
Let d = -72 + 69. Let a be -1 - (d/4)/((-1)/(-4)). Let 1/5*z**3 + 0*z + 0*z**a + 0 = 0. Calculate z.
0
Suppose 15*o - 20*o - 3*p = 3, -2*o - 2*p - 2 = 0. Let 4/3*h**3 - 4/3*h - 2/3 + 2/3*h**4 + o*h**2 = 0. What is h?
-1, 1
Let p be (-2 - 6/(-4))*-14. Let f(q) = 0*q**2 - 2 + p*q**2 - q - q**2 - q**2. Let y(t) = -t**2 - t + 1. Let o(w) = -f(w) + 4*y(w). Factor o(m).
-3*(m + 1)*(3*m - 2)
Let g(s) be the second derivative of 0*s**4 - 19/2*s**3 + 0 + 9*s**2 + 10*s + 15/4*s**5. Factor g(q).
3*(q + 1)*(5*q - 3)*(5*q - 2)
Let n(h) be the second derivative of 3/70*h**6 - 1/70*h**5 - 2/147*h**7 + 9*h + 0*h**4 + 0 + 0*h**3 + 0*h**2. Factor n(r).
-r**3*(r - 2)*(4*r - 1)/7
Suppose 10 = -4*b + 6*b. Suppose 10 = 5*p + b*f, p - 3 + 4 = -4*f. Factor v**3 - 20*v**p + 2 + 14*v - 4*v + v**3 + 6*v**2.
-2*(v - 1)*(3*v + 1)**2
Suppose -4*l + 44 = -2*a, l + 4*l = 3*a + 56. Factor 16*k**2 - 18 - 3*k - l*k**2 - 3*k**2.
3*(k - 3)*(k + 2)
Let u(d) be the second derivative of -d**9/3780 + d**8/280 - 2*d**7/105 + 2*d**6/45 - 5*d**4/6 + 8*d. Let b(n) be the third derivative of u(n). Factor b(q).
-4*q*(q - 2)**3
Determine y, given that 44402/11 - 596/11*y + 2/11*y**2 = 0.
149
Let g = -121 + 125. Let h(x) be the first derivative of -7 + 4/3*x**3 + g*x - 4*x**2. Find t, given that h(t) = 0.
1
Let q(i) be the first derivative of -1/12*i**4 - 3/2*i**2 - 4/3*i + 31 - 2/3*i**3. Factor q(k).
-(k + 1)**2*(k + 4)/3
Let p(g) = 3*g**2 - 8*g + 1. Let m(u) = 8*u**2 - 23*u + 2. Let v be ((-2)/1)/(2/4). Let w(y) = v*m(y) + 11*p(y). Suppose w(d) = 0. Calculate d.
-3, -1
Let t(n) = n**2 - n - 1. Let x(z) = 8*z**2 - 96*z - 164. Let g(i) = 12*t(i) - x(i). Determine d so that g(d) = 0.
-19, -2
Suppose -22*f + 6 = -104. Let v(b) be the second derivative of 1/126*b**7 + 0*b**2 + 0*b**3 + 1/30*b**6 + 0 + f*b + 0*b**4 + 1/30*b**5. Factor v(y).
y**3*(y + 1)*(y + 2)/3
Suppose -31*q = -34*q + 12. Let s(x) be the first derivative of 0*x**2 - 3/5*x**q + 2/5*x**6 - 4 + 0*x + 1/5*x**3 - 3/25*x**5. Let s(d) = 0. Calculate d.
-1, 0, 1/4, 1
Let j(l) = -l**2 + 6*l + 15. Let r be j(11). Let a = 40 + r. Factor 0*d + 2/7*d**2 + a.
2*d**2/7
Solve -18/5*k**3 + 48/5 + 8/5*k - 36/5*k**2 - 2/5*k**4 = 0.
-6, -2, 1
Let r = -41 + 44. Factor -5*m**5 - 6*m**3 - 6*m**3 - r*m**3 + 3*m**2 - 15*m**4 - 8*m**2.
-5*m**2*(m + 1)**3
Let c be 1*-2 - (-13 - 1 - 3). Let p be (c/(-20))/(-3)*0. Factor p + 0*s + 2/9*s**2.
2*s**2/9
Let y be 252/(-48)*(-84)/5. Let d = y + -87. Factor -3/5*v**2 - 3/5*v + d.
-3*(v - 1)*(v + 2)/5
Let n(o) be the first derivative of -2/21*o**3 + 0*o**2 - 4 + 2/35*o**5 + 0*o + 0*o**4. Let n(w) = 0. Calculate w.
-1, 0, 1
Let d(h) be the third derivative of -h**5/90 + 47*h**4/9 - 8836*h**3/9 - 11*h**2 - 12*h. Factor d(r).
-2*(r - 94)**2/3
Let q(o) = -19*o**2 + 52*o - 394. Let l(k) = 16*k**2 - 50*k + 395. Let i(y) = 6*l(y) + 5*q(y). Find f such that i(f) = 0.
20
Let l(u) be the second derivative of 1/8*u**2 + 13*u + 1/8*u**4 + 1/120*u**6 + 0 - 1/6*u**3 - 1/20*u**5. Factor l(d).
(d - 1)**4/4
Let z(d) be the second derivative of 0 - 2/15*d**6 + 0*d**3 + 1/4*d**5 + 1/42*d**7 - 1/6*d**4 + 53*d + 0*d**2. Factor z(i).
i**2*(i - 2)*(i - 1)**2
Let a(j) = -j**2 - j. Let i be a(4). Let v = -18 - i. Factor -s**4 + v + 1 + 2*s