 the second derivative of 2/3*a**6 - 11*a + 0 + 0*a**2 + p*a**5 + 0*a**3 - 1/3*a**4. Find y such that g(y) = 0.
-1/2, 0, 2/5
Let k(p) be the first derivative of -p**4/24 + p**3/3 + p**2/12 - 5*p - 449. What is q in k(q) = 0?
-2, 3, 5
Let z(w) be the third derivative of 5*w**8/336 - w**7/21 - 7*w**6/6 + 26*w**5/3 - 20*w**4 - 31*w**2 + 2*w. Factor z(c).
5*c*(c - 4)*(c - 2)**2*(c + 6)
Let j(h) = -h**3 - 4*h**2 - 2*h + 4. Let y be j(-3). Suppose y + 1 - 5*c**2 - 2*c**4 + 4*c**3 - 4*c + 5*c**2 = 0. Calculate c.
-1, 1
Let x(s) be the first derivative of 2*s**6/3 + 20*s**5 + 138*s**4 - 1208*s**3/3 - 1846*s**2 - 2028*s + 117. Let x(o) = 0. What is o?
-13, -1, 3
Let u(n) be the first derivative of n**6/120 + n**5/5 + 2*n**4 + 19*n**3/3 + 4. Let g(r) be the third derivative of u(r). Factor g(d).
3*(d + 4)**2
Suppose 6 = -j + 4*j. Find y, given that y + 4*y**2 - 8*y**2 - 6*y - y + j*y**3 = 0.
-1, 0, 3
Let n be (60/9)/(2/3). Suppose 3*u - 8*u = -n. Factor 2*o - 2*o**3 - 2 - 3*o**3 + 0*o**3 + 3*o**3 + u*o**2.
-2*(o - 1)**2*(o + 1)
Let c(p) be the third derivative of p**6/180 + 13*p**5/90 + 10*p**4/9 - p**2 - 85. Factor c(x).
2*x*(x + 5)*(x + 8)/3
Let b(w) be the second derivative of w**6/2340 + 5*w**3/2 - 13*w. Let d(i) be the second derivative of b(i). Factor d(j).
2*j**2/13
Let i = -41/4 - -137/12. Let k(s) be the second derivative of 11/3*s**3 - i*s**4 + 3*s - 11/10*s**5 + 0 + 3/5*s**6 - 2*s**2. Solve k(y) = 0 for y.
-1, 2/9, 1
Determine k so that 9/2 - 17/4*k - 1/4*k**2 = 0.
-18, 1
Suppose -10 = 2*k, 5*n - 95 = -k + 5*k. Let f be (6/n)/((18/(-15))/(-6)). Solve 2/9 + 2/3*g**3 + 10/9*g + 14/9*g**f = 0.
-1, -1/3
Let x be 11*(-1 + 2) - (153 - 142). Factor x + 1/2*j**4 + 3/2*j**2 + 1/2*j + 3/2*j**3.
j*(j + 1)**3/2
Factor 20*z**4 - 16*z**4 - 24 - 4*z**3 + 24.
4*z**3*(z - 1)
Determine z, given that -10/3*z**2 + 1/3*z**5 - 5/3*z**4 - 1/3 + 5/3*z + 10/3*z**3 = 0.
1
Let p(m) = 2*m**3 - 21*m**2 - 22*m - 3. Let o(n) = n**3 - 3. Let l(f) = -3*o(f) + 3*p(f). Factor l(b).
3*b*(b - 22)*(b + 1)
Let p(z) be the third derivative of 0*z**4 - 1/20*z**5 - 7*z**2 + 1/40*z**6 + 0 + 0*z**3 + 0*z. Suppose p(m) = 0. Calculate m.
0, 1
Let w(j) be the second derivative of 3*j + 0*j**2 + 0 - 1/4*j**3 + 1/8*j**4. Factor w(l).
3*l*(l - 1)/2
Let b be -2*(0 - -1)*(-26 - -25). Suppose -2*q = n - 13, -2*n - 1 = -q - 2. Factor -9*v**2 + 4*v**2 + n*v**b - 4 - 6*v.
-2*(v + 1)*(v + 2)
Let t(a) = -15*a - 87. Let v be t(-6). Let x(m) = -4*m**2 - m**2 - 6*m - 1 + 0*m**2. Let c(z) = 24*z**2 + 30*z + 6. Let h(f) = v*c(f) + 16*x(f). Solve h(n) = 0.
-1, 1/4
Suppose 0*i = 2*x - 2*i - 8, -3*i = 6. Factor -43*n + 15*n - 16*n - 3*n**x - 300 - 16*n.
-3*(n + 10)**2
Let g be -5 + 21/4 + 19/4. Suppose 6 - 4*m**4 + 3*m**5 + 6*m**2 - 8*m**4 + 7*m**3 + g*m**3 - 15*m = 0. Calculate m.
-1, 1, 2
Let k = 681 - 677. Let o(l) be the third derivative of 0*l**3 - 1/40*l**6 - 1/8*l**k + 0*l + 0 - 1/10*l**5 + 5*l**2. Solve o(s) = 0 for s.
-1, 0
Let q(w) be the second derivative of 17*w + 0*w**2 + 0*w**3 - 3/20*w**5 - 1/4*w**4 + 0. Factor q(m).
-3*m**2*(m + 1)
Factor -16*l**3 + 20*l**2 + 48*l - 13*l - 18 - 19*l - 2*l**4.
-2*(l - 1)**2*(l + 1)*(l + 9)
Let a(u) be the second derivative of u**5/60 + u**4/18 - u**3/18 - u**2/3 - u. What is p in a(p) = 0?
-2, -1, 1
Let c = 203 + -198. Let i(r) be the third derivative of 8*r**2 + 0*r + 0 + 0*r**c + 0*r**3 + 5/96*r**4 - 1/96*r**6. Factor i(x).
-5*x*(x - 1)*(x + 1)/4
Let h(c) be the third derivative of c**6/1260 + 2*c**5/315 + c**4/63 - c**2 + 10*c. Suppose h(v) = 0. Calculate v.
-2, 0
Let x be 3 - (-2 - (1 - 2)). Let y be (2/(-3))/(x/(-18)). Factor h**4 - 2*h**3 - 2*h**3 + 5*h**y.
h**3*(h + 1)
Factor 22*v**2 + 35 + 3*v**2 + 2*v**3 + 36*v - 7*v**3 + 29*v.
-5*(v - 7)*(v + 1)**2
Let z(m) be the second derivative of 2*m**6/15 + 26*m**5/5 + 8*m**4 - 52*m**3/3 - 50*m**2 - 5*m - 5. Factor z(i).
4*(i - 1)*(i + 1)**2*(i + 25)
Let c = -8 + 9. Let d(m) = m**5 + m**4 - m**3 - m. Let u(i) = -16*i**5 - 12*i**4 + 20*i**3 + 8*i. Let b(s) = c*u(s) + 12*d(s). Solve b(t) = 0 for t.
-1, 0, 1
Let i = -63 + 59. Let u be (-6 + 9)/((-6)/i). Find t such that 0*t**u + 2/7*t**4 - 2/7 + 4/7*t - 4/7*t**3 = 0.
-1, 1
Let j(h) = 19. Let x(f) = 7. Let d(c) = -3*j(c) + 8*x(c). Let z(y) = 5*y**2 - 15*y + 7. Let s(k) = 3*d(k) - z(k). Solve s(l) = 0.
1, 2
Find d, given that 2/7*d**2 - 96/7 - 94/7*d = 0.
-1, 48
Suppose 2*d = -2*p - 3*p, 5*d = -3*p + 38. Factor d*v**4 + 11*v**4 - 13*v**4 - v**5 - 11*v**5.
-4*v**4*(3*v - 2)
Let g(v) be the first derivative of -v**4/2 + 10*v**3/3 - 2*v**2 - 16*v + 605. Let g(x) = 0. Calculate x.
-1, 2, 4
Factor -4/7*v**3 - 200/7 - 88/7*v**2 + 292/7*v.
-4*(v - 2)*(v - 1)*(v + 25)/7
Suppose 0 - 20*h**4 + 0 - 16*h**2 - 18*h**3 + 4*h**5 + 20*h**3 + 30*h**3 = 0. Calculate h.
0, 1, 2
Factor -14 + 26 - 12 + 2*a**2 + 4*a.
2*a*(a + 2)
Let j(z) be the second derivative of 3*z**5/160 - z**4/16 - 63*z**3/16 - 88*z. Factor j(m).
3*m*(m - 9)*(m + 7)/8
Suppose 0 = s - 6*s + 20. Suppose -6*h**4 - 3*h**2 + h**s + 4*h**3 + h**4 + 11*h**2 = 0. Calculate h.
-1, 0, 2
Let y be (-2 - 1)/(7/((-70)/6)). Suppose y*q + 2*w - 30 = 0, -2*w = -4*q - 0 + 6. Suppose 0 + q*i**4 + 16/7*i + 32/7*i**2 - 76/7*i**3 = 0. What is i?
-2/7, 0, 1, 2
Suppose 29 = 4*m + 49, 16 = -2*y - 4*m. Factor 0*r + 1/4*r**y - 1/4.
(r - 1)*(r + 1)/4
Let i(y) be the third derivative of 0*y**3 - 28*y**2 + 0*y**4 + 0 + 1/10*y**5 - 1/40*y**6 + 0*y. Factor i(p).
-3*p**2*(p - 2)
Let m be (-6 - -9)*(1 + 2). Let z(k) = 32 - 21*k + 4 + 2*k**2 - m. Let x(u) = -2*u**2 + 20*u - 28. Let g(n) = -5*x(n) - 4*z(n). Factor g(c).
2*(c - 4)**2
Let r(m) = 17*m**3 - 65*m**2 + 137*m - 105. Let k(b) = -4*b**3 + 16*b**2 - 34*b + 26. Suppose 0 = 3*x - 3 + 15. Let s(a) = x*r(a) - 18*k(a). Solve s(c) = 0.
2, 3
Suppose -1 = -i - 4*b + 2, 4*i - 12 = 2*b. Factor -40*u**2 + 8*u**i - 42*u**2 + 84*u**2.
2*u**2*(4*u + 1)
Let y be (-336)/(-1050)*(-25)/(-20). Find l such that -12/5*l + y*l**2 + 16/5 = 0.
2, 4
Factor -11/2*a + 75/4 - 1/4*a**2.
-(a - 3)*(a + 25)/4
Let i be (0 - 8)*(-21)/153. Let a = i - -4/17. Suppose a*p**4 + 8/3*p**3 + 0 + 0*p**2 + 0*p = 0. What is p?
-2, 0
Determine x, given that 56/5 - 4/5*x**2 + 4*x = 0.
-2, 7
Suppose 27*k - 16*k = 22. Let m(h) be the first derivative of -9 + k*h**2 - 4/5*h**5 - 4/5*h - 8/3*h**3 + 2*h**4 + 2/15*h**6. Factor m(b).
4*(b - 1)**5/5
Factor 3/5*a**5 + 264/5*a**2 + 42/5 + 54/5*a**4 + 186/5*a**3 + 171/5*a.
3*(a + 1)**4*(a + 14)/5
Let l(k) be the first derivative of -k**5/150 + k**4/18 - 7*k**3/45 + k**2/5 - 23*k + 22. Let o(t) be the first derivative of l(t). Factor o(z).
-2*(z - 3)*(z - 1)**2/15
Let i be (-1)/(-1*1/34). Solve i*d + 3*d**4 - 5*d**3 + 10 - 15*d**2 + 2*d**4 - 29*d = 0 for d.
-1, 1, 2
Let l(t) be the first derivative of 0*t + 27/8*t**4 + 7/12*t**6 - 23/10*t**5 + 1/2*t**2 - 13/6*t**3 + 5. Let l(o) = 0. Calculate o.
0, 2/7, 1
Let p be 22/3*6/(-106). Let y = p - -498/689. Factor -2/13*m**5 + 0 - 14/13*m**2 - 10/13*m**4 - 18/13*m**3 - y*m.
-2*m*(m + 1)**3*(m + 2)/13
Let d(a) be the third derivative of -1/5*a**6 + 0 + 1/70*a**7 + 9/2*a**3 + 11/10*a**5 - 3*a**4 + 27*a**2 + 0*a. Find o, given that d(o) = 0.
1, 3
Determine k, given that 3*k**3 + 6*k**2 + 3 - 2*k**3 - 8*k + 3 + 34*k - 15*k = 0.
-3, -2, -1
Suppose 25/3*y**4 - 26/3*y**3 - 6*y**2 - 7/3 + 29/3*y - y**5 = 0. What is y?
-1, 1/3, 1, 7
Suppose 0 = 2*y - y - 2. Solve -8 + 36*d - 2*d**y - 7*d**2 - 19*d**2 = 0 for d.
2/7, 1
Let q(w) be the second derivative of -w**5/160 - 17*w**4/96 - 95*w**3/48 - 175*w**2/16 + 89*w. Factor q(r).
-(r + 5)**2*(r + 7)/8
Let v(m) be the first derivative of 27 - 2/9*m**3 + 1/6*m**2 + 1/3*m. Factor v(k).
-(k - 1)*(2*k + 1)/3
Let z = -114 + 116. Determine x so that x**3 - 15 + 12*x + 3*x**4 + 18*x**2 - 6*x**4 + z*x**3 - 15*x**3 = 0.
-5, -1, 1
Let v(o) be the first derivative of 25*o**4/16 + 155*o**3/6 - 1005*o**2/8 - 225*o/2 + 143. Factor v(m).
5*(m - 3)*(m + 15)*(5*m + 2)/4
Let j(g) = -14 - 27 - 10 + 5*g + 21. Let n be j(6). Determine v so that n*v + 0*v**2 + 0 - 2/5*v**3 + 4/5*v**4 - 2/5*v**5 = 0.
0, 1
Solve -41/8*j**3 - 69/8*j**2 - j**4 - 5*j - 1/2 = 0.
-2, -1, -1/8
Let o(t) be the first derivative of t**6/24 - t**5/4 - t**4/16 + 5*t**3/12 - 111. Factor o(f).
f**2*(f - 5)*(f - 1)*(f + 1)/4
Let t(d) be the second derivative of d**6/135 