rivative of j**6/120 - j**4/24 - 4*j**2. Find p such that u(p) = 0.
-1, 0, 1
Let h(m) be the third derivative of 8/75*m**5 + 0*m + 1/15*m**3 - 13/120*m**4 + 3*m**2 - 1/336*m**8 + 11/525*m**7 + 0 - 19/300*m**6. Factor h(w).
-(w - 1)**4*(5*w - 2)/5
Let x(q) = 3*q**5 + 2*q**4 + 8*q**3 - 2*q**2 - 3*q + 8. Let n(m) = 2*m**5 + m**4 + 5*m**3 - m**2 - 2*m + 5. Let v(u) = 8*n(u) - 5*x(u). Solve v(j) = 0.
-1, 0, 1
Let r(p) be the third derivative of 0 - 1/15*p**3 + 1/150*p**5 + 0*p**4 - 2*p**2 + 0*p. Factor r(m).
2*(m - 1)*(m + 1)/5
Let r = -234 - -4915/21. Let y(t) be the first derivative of -1/7*t**2 - 4/21*t**3 - 3 + 1/7*t**4 + 2/35*t**5 - r*t**6 + 2/7*t. Suppose y(k) = 0. What is k?
-1, 1
Determine k so that 2/3*k**2 - 2*k + 0 = 0.
0, 3
Let l(m) be the second derivative of 0*m**2 + 0 + 1/12*m**4 - 1/6*m**3 - 4*m. Factor l(r).
r*(r - 1)
Suppose -6*b + 3*b + 6 = 0. Suppose 2*z**2 + 3*z + z - b*z = 0. What is z?
-1, 0
Let o(y) be the first derivative of y**4/2 + 16*y**3 + 192*y**2 + 1024*y - 22. Find r, given that o(r) = 0.
-8
Let j(x) be the second derivative of x**4/6 - x**3/3 - 3*x. Factor j(z).
2*z*(z - 1)
Determine b, given that -2/7 + 2/7*b**2 + 6/7*b**3 - 6/7*b = 0.
-1, -1/3, 1
Let f(v) be the third derivative of 0 + 0*v + 0*v**4 + 0*v**3 - 1/40*v**6 - 1/10*v**5 + 2*v**2. Factor f(x).
-3*x**2*(x + 2)
Let o = 2 + 3. Let s(a) be the second derivative of -4/9*a**4 + 0 + 7/60*a**o - 1/3*a**2 - 2*a + 11/18*a**3. Solve s(f) = 0 for f.
2/7, 1
Let n be (3 - 2)/(2/6). Let i be ((-2)/4)/(n/(-12)). Factor z - 7 - z**i - z**3 + 6 + 2*z**2.
-(z - 1)**2*(z + 1)
Suppose -2*g = -3*t - 13, -8 = -3*g + 3*t + 13. Solve 5*k**2 - 3*k**3 - g - 2*k**3 - k**3 + 8*k + 5*k**2 = 0 for k.
-1, 2/3, 2
Let k(f) be the third derivative of -f**7/42 + f**6/2 - 11*f**5/6 - 35*f**4/2 - 245*f**3/6 - 29*f**2. Factor k(c).
-5*(c - 7)**2*(c + 1)**2
Let z(y) be the second derivative of 0 + 1/15*y**5 + 2/9*y**3 - 7*y + 1/90*y**6 + 1/6*y**4 + 1/6*y**2. Factor z(h).
(h + 1)**4/3
Let y(q) be the third derivative of q**6/12 - q**5/4 - 5*q**4/12 - 72*q**2. Factor y(u).
5*u*(u - 2)*(2*u + 1)
Suppose 0 = 5*q - 14 - 1. Factor 3 - 9*w**2 + 3*w - 1 - 3*w**q - 12*w - 5.
-3*(w + 1)**3
Let r = 60 + -58. Let b(v) be the third derivative of 0*v**4 + 1/3*v**3 - 1/30*v**5 + 0 + 0*v + 3*v**r. Find y, given that b(y) = 0.
-1, 1
Let d be (1*3)/((-17)/1513). Let a = 1873/7 + d. Factor 2/7*w**2 + 2/7*w - a.
2*(w - 1)*(w + 2)/7
Factor 25*c**4 - 3*c**5 - 79*c**4 + 34*c**4 + 26*c**4.
-3*c**4*(c - 2)
Let w(c) = -6 - c + 1 - 1. Let q be w(-6). Suppose -2*b**4 - 2*b + 0*b**2 + 2*b**3 + 2*b**2 + q*b**2 = 0. What is b?
-1, 0, 1
Let n be (-12)/160*(-2)/6. Let q(m) be the third derivative of 1/210*m**7 + 0 + 1/20*m**5 + 0*m**3 + n*m**6 + 0*m - m**2 + 1/24*m**4. Solve q(b) = 0 for b.
-1, 0
Suppose 3*k + 2*w = -2 - 3, w = -5*k + 1. Suppose -4 = 4*z - 3*t + t, z - 4*t + 8 = 0. Factor -5 + z - n**2 + 4*n + k.
-(n - 2)**2
Let i be (0 + 1)*1 + 2. Suppose h - i = -1. Solve 3*q - 4*q - 2*q**2 + q**h + q**3 + 1 = 0 for q.
-1, 1
Let g(c) = -2*c + 20. Let q be g(10). Let s(o) be the first derivative of 2/15*o**3 + q*o - 1/10*o**4 + 2 - 2/25*o**5 + 1/5*o**2. Solve s(n) = 0.
-1, 0, 1
Let x be ((-58)/87)/(2/(-6) - 0). Factor 0*z + 3/4*z**x - 3/4.
3*(z - 1)*(z + 1)/4
Let y(z) be the first derivative of -3*z**4/2 + 4*z**3/3 + 12*z**2 - 16*z - 13. Determine r, given that y(r) = 0.
-2, 2/3, 2
Suppose 5*d + 0*d - 15 = -k, -4*d - 4*k = -12. Suppose 0 = d*r - 6. Factor 2*z + r*z**2 - 2*z - 2.
2*(z - 1)*(z + 1)
Suppose -18 = c - 5*t, 4*c - 3*t = -2*t + 4. What is m in -2*m + 2/3 - 8/3*m**c = 0?
-1, 1/4
Let j be (-12)/(-20)*(5 - 0). Factor 40*p**2 - 10*p**3 - 18*p**j + 10*p**2 - 2 + 6 - 26*p.
-2*(p - 1)*(2*p - 1)*(7*p - 2)
Let m = 6/13 + -17/65. Let i(y) be the first derivative of m*y**2 + 3 + 0*y + 2/15*y**3. Determine g so that i(g) = 0.
-1, 0
Let f(n) = -n**2 - 4*n. Let p be f(-3). Factor -2*i**2 + 3*i**3 - 2*i**p + 0*i**3 + 2*i - i**2.
i*(i - 2)*(i - 1)
Let a be 3*3*(-7)/(-21). What is s in -12*s**a + 19*s**4 - 32*s**5 + 29*s**4 - 6*s**3 + 2*s**2 = 0?
0, 1/4, 1
Suppose 2*w + c - 83 = -0*c, -4*c = -20. Let t be 1/(-3 + w/6). Factor 0*q**3 + t + 0*q - 4/7*q**2 + 2/7*q**4.
2*(q - 1)**2*(q + 1)**2/7
Let m = 2 - 2. Factor -6*a**4 - 2 - 3*a + 3*a**3 + 7*a**4 + a**2 + m*a**3.
(a - 1)*(a + 1)**2*(a + 2)
Solve 0 - 4/17*u**3 + 0*u + 6/17*u**2 - 2/17*u**4 = 0.
-3, 0, 1
Let p be ((-1)/(-2) + -1)/(3/(-12)). Factor -8/5*t**5 + 6/5*t**3 - 2/5*t + 0 + 8/5*t**4 - 4/5*t**p.
-2*t*(t - 1)**2*(2*t + 1)**2/5
Let j(n) = -5*n + 27. Let i be j(5). Let f(a) be the first derivative of -1 + 1/15*a**3 + 0*a + 0*a**i + 1/20*a**4. Let f(t) = 0. Calculate t.
-1, 0
Let n(g) be the second derivative of -g**6/30 - 3*g**5/10 - 13*g**4/12 - 2*g**3 - 2*g**2 + 16*g. Factor n(f).
-(f + 1)**2*(f + 2)**2
Let b = -13 - -21. Let h be (-1 - -1)*4/b. Factor -2/9*i + h + 2/9*i**2.
2*i*(i - 1)/9
Let a = -43 - -43. Let o(n) be the third derivative of 0 + 0*n**3 + a*n + 1/108*n**4 + 1/90*n**5 - 2*n**2. Find x such that o(x) = 0.
-1/3, 0
Suppose 0 = 2*s - 9 + 1. Let j be s/10 - (-8)/5. Factor -5*u - 9*u - 11*u**4 - 44*u**3 - 2 - 36*u**j - 15*u**4 - 6*u**5.
-2*(u + 1)**4*(3*u + 1)
Suppose 2 + 13 - 40*z - 5*z**2 - 95 = 0. What is z?
-4
Let y be (22/(-110))/((-24)/10). Let a(x) be the first derivative of 3 + 0*x + 0*x**2 + y*x**4 - 1/9*x**3. Find m, given that a(m) = 0.
0, 1
Let o be 5 + (1 - 1) + -2. Suppose -m**2 + m - o + m + 2 = 0. What is m?
1
Let f(a) be the second derivative of 0*a**3 - a**2 - a + 0*a**4 + 0 - 1/210*a**5. Let z(p) be the first derivative of f(p). Factor z(g).
-2*g**2/7
Let w(c) be the first derivative of c**6/3 + 2*c**5 + 3*c**4/2 - 6*c**3 + 3. Determine f so that w(f) = 0.
-3, 0, 1
Suppose 1/2*q + 3/4 - 1/4*q**2 = 0. What is q?
-1, 3
Let v(d) = 3*d**2 - 13*d - 16. Let t(n) = -2*n**2 + 6*n + 8. Let g(w) = 5*t(w) + 2*v(w). Factor g(z).
-4*(z - 2)*(z + 1)
Let l be 6 - -1*1*-2. Factor l*f**2 + 5*f - 5*f - 2*f**3 - 4*f + 2*f.
-2*f*(f - 1)**2
Let z(g) be the second derivative of -g**7/28 + g**6/40 + 9*g**5/80 - g**4/16 - g**3/8 - 25*g. Determine s, given that z(s) = 0.
-1, -1/2, 0, 1
Let j(o) be the third derivative of 7*o**6/960 + o**5/12 + 23*o**4/192 - 5*o**3/24 + 25*o**2 - 1. What is y in j(y) = 0?
-5, -1, 2/7
Let m = -207 + 1043/5. Let i(a) be the first derivative of 23/5*a**2 - 6/5*a - 4 - m*a**4 - 16/3*a**3. Factor i(p).
-2*(p + 3)*(4*p - 1)**2/5
Let a(x) = 6*x**4 + 3*x**3 + 5*x**2 + 2*x + 4. Let b(l) be the first derivative of l**5/5 + l**4/4 + l**3/3 + l - 8. Let w(d) = a(d) - 5*b(d). Solve w(v) = 0.
-1, 1
Let y(u) be the second derivative of -4*u**7/21 + 2*u**6/5 + 2*u**5/5 - 31*u. Factor y(z).
-4*z**3*(z - 2)*(2*z + 1)
Let j = 37 - 52. Let a be (-18)/(-8) + j/60. Factor 0 + 1/3*h**a - 1/3*h.
h*(h - 1)/3
Suppose 5*a + 0 + 5 = 0. Let g(i) = i**2 - i - 1. Let z(u) = -2*u**2 + 8*u + 4. Let o(x) = a*z(x) - 4*g(x). Factor o(h).
-2*h*(h + 2)
Let p(s) be the second derivative of s**4/20 - s**3/30 - 3*s. Factor p(o).
o*(3*o - 1)/5
Let f be (-81)/18*4/(-3). Suppose -4*h = -h - f. Solve 2/3 + 0*l**h + l - 1/3*l**3 = 0.
-1, 2
Let l(w) be the second derivative of -w**6/45 - w**5/90 + w**4/27 + 8*w. Factor l(o).
-2*o**2*(o + 1)*(3*o - 2)/9
Let c be 143/33 - 4/(-6). Factor -25*g**4 + 19*g**4 + 4*g**2 + 4*g**2 + 2*g**c.
2*g**2*(g - 2)**2*(g + 1)
Let a = 37 + -35. Let k(n) be the second derivative of -1/6*n**a + 0 + 0*n**3 + 1/18*n**4 - 1/90*n**6 + 0*n**5 - n. Factor k(s).
-(s - 1)**2*(s + 1)**2/3
Let w(q) be the first derivative of q**6 + 16*q**5/5 + 11*q**4/3 + 16*q**3/9 + q**2/3 + 7. What is s in w(s) = 0?
-1, -1/3, 0
Let z(c) be the third derivative of -c**6/132 - 13*c**5/330 - c**4/33 + 4*c**3/33 + 8*c**2. Find p such that z(p) = 0.
-2, -1, 2/5
Let i(p) be the second derivative of -1/12*p**4 - 1/4*p**3 - 1/4*p**2 + 0 + 1/20*p**6 + 1/84*p**7 - 2*p + 1/20*p**5. What is v in i(v) = 0?
-1, 1
Let b(a) be the first derivative of a**4/32 - a**3/6 + 5*a**2/16 - a/4 - 2. Let b(g) = 0. Calculate g.
1, 2
Let o = -7 + -5. Let x(w) = -15*w**3 - 9*w**2 + 3*w - 15. Let d(c) = 0 - c**3 + 2 + c - 3. Let r(n) = o*d(n) + x(n). Factor r(f).
-3*(f + 1)**3
Let q = 164671/110 - 1497. Let h(l) be the second derivative of 0 - 3*l - q*l**5 + 0*l**3 + 0*l**2 + 1/66*l**4. Suppose h(v) = 0. Calc