2 - 9/14*x**4 + 4/21*x**3 + z*x**5 + 0*x**2 + 0*x - 1/7*x**6. Let u(k) = 0. What is k?
0, 1/3, 1, 2
Let n(p) = p**3 - 4*p**2 + 5*p - 3. Let z be n(3). Let w be z + (1 - 2) + 0. Find h such that w - 3*h**2 + 3*h**2 - 2*h**2 + 2 - 2*h = 0.
-2, 1
Let s = 25 - 22. Let p(b) = 7*b + 51. Let a be p(-7). Suppose -s - 2*f - 1/3*f**a = 0. Calculate f.
-3
Let d(f) = -f**5 - 6*f**4 - 2*f**3 + 6*f**2 + 3*f. Let h(a) = -3*a**5 - 19*a**4 - 6*a**3 + 19*a**2 + 9*a. Let z(j) = 7*d(j) - 2*h(j). Solve z(k) = 0 for k.
-3, -1, 0, 1
Let g(p) be the second derivative of -p**5/10 - 4*p**4/3 + 11*p**3/3 + 18*p**2 + 3*p - 27. Factor g(r).
-2*(r - 2)*(r + 1)*(r + 9)
Let c(d) be the first derivative of 70*d**6/3 + 568*d**5/5 + 7*d**4 - 16*d**3/3 - 1003. Find m, given that c(m) = 0.
-4, -1/5, 0, 1/7
Let m(r) be the third derivative of -75*r**8/112 + 11*r**7/7 + 3431*r**6/480 + 663*r**5/80 + 135*r**4/32 + 9*r**3/8 - r**2 - 377. Let m(z) = 0. Calculate z.
-3/5, -1/6, 3
Let c(p) = -7*p**4 - 45*p**3 - 37*p**2 + 43*p + 40. Let h(l) = -85*l**4 - 540*l**3 - 445*l**2 + 515*l + 480. Let r(q) = -25*c(q) + 2*h(q). Factor r(s).
5*(s - 1)*(s + 1)**2*(s + 8)
Suppose -2*q = -4*r - 0*q + 18, -4*q = -r + 22. Suppose -55/4*o - 15/4 - 10*o**r = 0. What is o?
-1, -3/8
Let q = -115 + 347/3. Solve 0 + 14/3*w**3 - 10/3*w**2 - 2*w**4 + q*w = 0.
0, 1/3, 1
Suppose -5*p - 8*n = 22, -9 = 4*n + 7. Determine q, given that 4/3*q**p + 4 - 16/3*q = 0.
1, 3
Let h(m) be the first derivative of m**4/12 - 2*m**3/9 - m**2/2 - 227. Determine y, given that h(y) = 0.
-1, 0, 3
Let y = -12098 + 12102. Factor -2/11*g**2 + 0 + 2/11*g**3 - 2/11*g**5 + 2/11*g**y + 0*g.
-2*g**2*(g - 1)**2*(g + 1)/11
Let v be -1*(-151)/235 + 30/(-50). Let m = 41/141 + v. Determine p so that -p**3 + 1/3*p**2 - m*p**5 + 0*p + p**4 + 0 = 0.
0, 1
Suppose k + 5 = -5*g, 0*g - 4 = 2*g. Let m(u) be the first derivative of -u**3 - 5 + 0*u + 3/5*u**k + 0*u**2 + 0*u**4. Factor m(w).
3*w**2*(w - 1)*(w + 1)
Let g = -168 - -147. Let s(k) = 4*k + 87. Let m be s(g). Factor -2/7 - 8/7*r**m - 2/7*r**4 - 12/7*r**2 - 8/7*r.
-2*(r + 1)**4/7
Let k(f) be the second derivative of 0*f**2 + 11*f + 0*f**3 - 1/10*f**5 + 1/90*f**6 + 0 + 1/4*f**4. Factor k(a).
a**2*(a - 3)**2/3
Let v(j) be the second derivative of j**7/27 + 26*j**6/135 - j**5/6 - 13*j**4/27 + 8*j**3/27 + 32*j - 10. Find x such that v(x) = 0.
-4, -1, 0, 2/7, 1
Let b(x) = x**3 - 6*x**2 + 5*x + 16. Let v be b(4). Let y(s) be the first derivative of 2/3*s + v - 1/3*s**2 + 1/18*s**3. Solve y(w) = 0 for w.
2
Factor -29*n + 25*n**2 - 4*n**4 - 7*n - 25*n**2 - 12*n**2 + 20*n**3.
-4*n*(n - 3)**2*(n + 1)
Let b(g) be the second derivative of 9*g**5/40 + 5*g**4/8 - 2*g**3 + 9*g + 2. Factor b(p).
3*p*(p - 1)*(3*p + 8)/2
Suppose 4*x + 58 = 3*y, -4*y + 43 - 3 = 4*x. Let m = y + -12. Let -6*h**2 - 6*h + 4 + 0 + 2*h**4 + 8*h + 0*h**2 - m*h**3 = 0. What is h?
-1, 1, 2
Let q be 48/(-32) + (-29)/(-16). Let d = q + 3/16. Factor -d*t - 7/4*t**2 + 0.
-t*(7*t + 2)/4
Let q be 37/11 + 10/(-5) + -1. Let h(g) be the second derivative of -1/66*g**4 - q*g**2 + 0 + 3*g + 4/33*g**3. Factor h(k).
-2*(k - 2)**2/11
Let p = -13408 - -13410. Solve -2/7*m - 3/7 + 1/7*m**p = 0 for m.
-1, 3
Let u(m) be the third derivative of m**7/7560 + m**6/1080 + 31*m**4/24 + 29*m**2. Let t(z) be the second derivative of u(z). Factor t(l).
l*(l + 2)/3
Let x = -17 + 15. Let h be 2/4 - ((-3)/2 - x). Factor w**2 + 0 + 1/2*w - w**4 + h*w**3 - 1/2*w**5.
-w*(w - 1)*(w + 1)**3/2
Let i(l) = 8*l**5 + 3*l**4 + l**3 + 2*l**2 + l. Let v(y) = 5*y**5 + 2*y**4 + y**2 + y. Let u(z) = 3*i(z) - 5*v(z). Find d, given that u(d) = 0.
-2, -1, 0, 1
Suppose 5*p + 3*j - 6 = 0, -58*j + 61*j + 15 = 2*p. Find d such that -4/7*d**p + 16/7*d + 0 + 12/7*d**2 = 0.
-1, 0, 4
Let z be 12/54 + 75/27. Solve b**2 - 3*b**2 + 2 - z*b - b - 4 = 0 for b.
-1
Let w = -17630/7 - -2519. Factor 3/7*z**2 + w*z**3 + 0 + 0*z.
3*z**2*(z + 1)/7
Let r be 137781/1458*(2 - 69/36). Factor 0*x + 27/8*x**5 + 0 - 3/2*x**2 + 6*x**3 - r*x**4.
3*x**2*(x - 1)*(3*x - 2)**2/8
Let n be 6/(-45) + (-754)/(-30). Let z = n - 22. Solve -27*u**z + 15*u**2 + 6*u - 2*u**5 - 10*u**4 + 13*u**5 - 5*u**4 + 10*u**5 = 0.
-1, -2/7, 0, 1
Let q(w) be the second derivative of -2*w**5/25 + 7*w**4/30 + 34*w**3/15 + 8*w**2/5 - 226*w. Factor q(t).
-2*(t - 4)*(t + 2)*(4*t + 1)/5
Let a(n) be the third derivative of -n**5/300 - 39*n**4/20 - 4563*n**3/10 - 24*n**2 + 9. Factor a(q).
-(q + 117)**2/5
Let x(o) be the second derivative of -o**5/60 + o**4/36 + 2*o + 51. What is h in x(h) = 0?
0, 1
Suppose -3*w + 9 = 0, 62*h - 65*h = -3*w. Factor 3/2 + h*l + 3/2*l**2.
3*(l + 1)**2/2
Let g(c) be the second derivative of -c**5/100 + c**4/2 - 32*c**3/5 - 256*c**2/5 - 36*c. Factor g(k).
-(k - 16)**2*(k + 2)/5
Let u = 15965/17 - 939. Factor -4/17*v - u*v**3 + 0 - 6/17*v**2.
-2*v*(v + 1)*(v + 2)/17
Let u(r) be the second derivative of 2*r**7/315 - r**5/15 - r**4/9 + 21*r**2/2 + 2*r. Let l(f) be the first derivative of u(f). Factor l(s).
4*s*(s - 2)*(s + 1)**2/3
Suppose -4*p**4 - 53*p**5 + 28*p**5 - 5*p + 16*p**2 + 23*p**5 + 13*p + 6*p**3 = 0. What is p?
-2, -1, 0, 2
Suppose 867 + 18*q**4 + 423*q - 659*q + 386*q - 380*q**2 + 1383 + 10*q**5 + 12*q**3 - 12*q**5 = 0. Calculate q.
-3, 5
Let n(f) = f**2 - 5*f + 6. Let u be n(6). Suppose 4*d = u, -4*r + 33 = 3*d + 8. Suppose 4/3 + 0*z - 8/3*z**2 + 0*z**3 + 4/3*z**r = 0. What is z?
-1, 1
Let w(v) be the second derivative of -v**6/20 - 27*v**5/10 - 24*v**4 - 92*v**3 - 180*v**2 + 184*v. Suppose w(m) = 0. Calculate m.
-30, -2
Suppose 2 = 2*l, -16*w - 4*l = -19*w + 5. Suppose 5/2*x + 2*x**2 + 1 + 1/2*x**w = 0. Calculate x.
-2, -1
Let f(v) be the first derivative of 4*v**3/9 - 5*v**2/3 - 2*v + 176. Suppose f(k) = 0. Calculate k.
-1/2, 3
Let t(z) be the third derivative of 13*z**2 + 0*z + 1/100*z**5 + 0 - 1/40*z**4 + 1/200*z**6 + 0*z**3 - 1/350*z**7. Factor t(r).
-3*r*(r - 1)**2*(r + 1)/5
Let z(r) = -2*r - 1. Let k(o) = 44*o**2 + 310*o + 53. Let l(u) = k(u) - 3*z(u). Factor l(m).
4*(m + 7)*(11*m + 2)
Let i(u) be the second derivative of u**4/72 + u**3/9 - u**2 - 539*u. Suppose i(m) = 0. Calculate m.
-6, 2
Let p = -1896 + 1898. Determine y so that -21/5*y - 27/5*y**p + 6/5 = 0.
-1, 2/9
Suppose 3*z + 22 = 28. Factor 2/5*d**z + 8/5*d + 8/5.
2*(d + 2)**2/5
Suppose -12/17*c**3 + 0*c**2 + 0*c + 0 + 2/17*c**4 = 0. What is c?
0, 6
Factor -972/7 + 114/7*k**3 + 2052/7*k - 1191/7*k**2 - 3/7*k**4.
-3*(k - 18)**2*(k - 1)**2/7
Let h(g) be the third derivative of -7/270*g**5 + 0*g + 27*g**2 - 5/36*g**4 - 1/3*g**3 - 1/540*g**6 + 0. Let h(o) = 0. Calculate o.
-3, -1
Let y be 14/(-4)*288/(-280). Let a(b) be the first derivative of -2/15*b**3 + 6/5*b**2 - 7 - y*b. Factor a(x).
-2*(x - 3)**2/5
Factor -3/7*j**2 - 1452/7 - 132/7*j.
-3*(j + 22)**2/7
Let g(h) be the second derivative of -h**7/231 - h**6/33 - 4*h**5/55 - 2*h**4/33 + 3*h. Factor g(p).
-2*p**2*(p + 1)*(p + 2)**2/11
Let l(w) = -w**2 + w - 2. Let i(k) = 4*k**2 - 1. Let m(y) = y**2. Let a(b) = i(b) - 6*m(b). Let g(x) = -4*a(x) + 6*l(x). Factor g(v).
2*(v - 1)*(v + 4)
Let i(g) be the second derivative of -g**6/60 + 3*g**5/40 + 11*g**4/24 - g**3/4 - 5*g**2/2 + 21*g. Solve i(x) = 0.
-2, -1, 1, 5
Let f = 103/622 - -1/933. Let h(t) be the second derivative of f*t**4 + 1/30*t**5 - 2*t + 0*t**2 + 2/9*t**3 + 0. Factor h(k).
2*k*(k + 1)*(k + 2)/3
Let i(y) be the first derivative of 2*y**3/3 - 52*y**2 + 178. Factor i(z).
2*z*(z - 52)
Factor 16*h**4 + 53*h**3 - 15*h**4 + 20*h**2 - 74*h**3.
h**2*(h - 20)*(h - 1)
Let 0 + 36/7*w**2 + 6/7*w**3 + 54/7*w = 0. Calculate w.
-3, 0
Let a(v) be the third derivative of 0 + 4/3*v**4 + 4*v**3 - 10*v**2 + 0*v + 7/30*v**5 + 1/60*v**6. Factor a(l).
2*(l + 2)**2*(l + 3)
Let v(q) be the third derivative of -q**8/2240 + q**7/1120 + q**6/960 - 11*q**4/12 - 18*q**2. Let r(n) be the second derivative of v(n). Factor r(i).
-3*i*(i - 1)*(4*i + 1)/4
Let s be (-58)/(-6) - (-48 + 53). Solve 0 - 4/3*o**3 - 2/3*o**4 - 8/3*o + s*o**2 = 0 for o.
-4, 0, 1
Let x(f) = 10*f**4 - 10*f**3 - 15*f**2 + 55*f - 40. Let v(h) = 11*h**4 - 9*h**3 - 15*h**2 + 55*h - 42. Let a(i) = 5*v(i) - 6*x(i). Factor a(p).
-5*(p - 3)*(p - 1)**2*(p + 2)
Let y(g) be the first derivative of 4/5*g**5 + 20 + 2*g**4 + 0*g - 4*g**2 - 4/3*g**3. Determine c, given that y(c) = 0.
-2, -1, 0, 1
Let a be (6/(-9