3 + m**2 + 0*m - 3/2*m**5 + 0 = 0. Calculate m.
-1, 0, 2/3
Let u(w) = -w**3 + 4*w**2 + 19*w + 16. Suppose 0*z - 105 = -15*z. Let r be u(z). Solve 0*s + 2/3*s**3 + 2/3*s**r + 0 = 0.
-1, 0
Let k(t) be the first derivative of -t**7/5460 + t**5/260 + t**4/78 - t**3 + 7. Let o(w) be the third derivative of k(w). Suppose o(b) = 0. What is b?
-1, 2
Let j(g) be the second derivative of -g**4/12 + 3*g**3 - 17*g**2/2 + 28*g. Factor j(y).
-(y - 17)*(y - 1)
Let t(z) = -3*z**2 + 6*z**4 - 9*z - 7*z + 13*z**2. Let v(d) = -2*d**4 - 3*d**2 + 5*d. Let a(x) = -5*t(x) - 16*v(x). Determine o so that a(o) = 0.
-1, 0, 1
Suppose -232/7*z - 16/7*z**4 + 48/7*z**3 + 204/7*z**2 + 60/7 = 0. Calculate z.
-3, 1/2, 5
Let j(t) be the second derivative of t**6/1080 + t**5/180 + t**4/72 + 4*t**3/3 - 14*t. Let y(h) be the second derivative of j(h). Factor y(m).
(m + 1)**2/3
Let x(w) be the third derivative of -w**8/840 + w**7/420 + 7*w**6/1200 - w**5/300 - 182*w**2. Find h such that x(h) = 0.
-1, 0, 1/4, 2
Let i(t) be the second derivative of -t**6/40 - 3*t**5/20 + 2*t**3 + t**2/2 - t. Let m(v) be the first derivative of i(v). Suppose m(n) = 0. Calculate n.
-2, 1
Let b(m) = 3*m**3 + 2*m**2 + 2*m. Let z(l) = -l**3 - l**2 - l. Let y be 3/(-3)*3 + 5. Let x(h) = y*z(h) + b(h). Find t such that x(t) = 0.
0
Let a(o) = 3*o**2 + 61*o - 23. Let f be a(-21). Suppose f*r - 28*r = 0. What is x in 0*x + 1/3*x**2 + r = 0?
0
Let c be (2/4)/((-2716)/(-1552)). Let y = 141/77 + -17/11. Factor y*g + 2/7*g**2 - 2/7*g**3 - c.
-2*(g - 1)**2*(g + 1)/7
Suppose -4*y - 6 = -3*g, 3*g - y = -0*g + 6. Determine t, given that -g*t - 25*t**2 - 30*t**2 + 57*t**2 = 0.
0, 1
Let a(w) be the second derivative of -19*w + 0*w**2 - 5/6*w**4 + 1/3*w**6 + 0 + 0*w**5 + 5/6*w**3 - 5/42*w**7. Find q such that a(q) = 0.
-1, 0, 1
Solve -1/5*s**2 - 47*s**3 + 32/5*s - 319/5*s**4 - 121/5*s**5 - 4/5 = 0 for s.
-1, 2/11
Let l(v) be the first derivative of -2/15*v**3 - 33 - 3/5*v**2 + 1/6*v**4 + 0*v - 2/75*v**5. Solve l(x) = 0.
-1, 0, 3
Let x be 0 + 2 - 0/1. Let y = -6 - -25. Determine t so that -2*t + 17*t**2 + 2*t**3 + x - y*t**2 + 0*t**3 = 0.
-1, 1
Let u(m) = m**3 - 2*m**2 - 4*m + 3. Let n be u(3). Let g(t) = t**2 + t + 22. Let o be g(n). Factor -16*r - 48*r**3 + 29*r**2 + 18*r**4 - 7*r**2 + o*r**2 + 2.
2*(r - 1)**2*(3*r - 1)**2
Factor 8/7 + 12/7*z**2 - 2/7*z**3 - 18/7*z.
-2*(z - 4)*(z - 1)**2/7
Let b(l) be the second derivative of -l**4/66 - 14*l**3/33 - l + 4. Factor b(m).
-2*m*(m + 14)/11
Let r(z) = z**2 - z - 1. Let b(j) = j**2 + 3*j + 53. Let w(l) = 2*b(l) - 6*r(l). What is q in w(q) = 0?
-4, 7
Let -1/3*r**2 - 34/3*r**3 + 10/3*r**5 + 19/3*r**4 + 0 + 2*r = 0. Calculate r.
-3, -2/5, 0, 1/2, 1
Let o = 47 + -41. Find i such that 0 - 6 - 5*i + o + 5*i**3 = 0.
-1, 0, 1
Let k(r) be the first derivative of -21*r**4/32 + 11*r**3/2 - 141*r**2/16 + 15*r/4 + 18. Factor k(g).
-3*(g - 5)*(g - 1)*(7*g - 2)/8
Let i = -1799 - -8997/5. Factor -i*k**2 + 0 - 4/5*k.
-2*k*(k + 2)/5
Suppose 6 = -2*i + 5*o + 59, i - 3*o - 29 = 0. Let w be (-5)/28 + 6/i. Factor w*v**3 - 1/4*v - 1/4 + 1/4*v**2.
(v - 1)*(v + 1)**2/4
Let o(m) be the second derivative of -m**7/5460 + m**6/1170 + 7*m**3/6 + 43*m. Let g(j) be the second derivative of o(j). Determine k, given that g(k) = 0.
0, 2
Let a = 139 + 6. Find h, given that a*h**5 - 71*h**5 + 8*h**4 + 6*h**3 - 72*h**5 = 0.
-3, -1, 0
Suppose -6*r = -2*u - 6, -5 = -7*u + 6*u - 5*r. Solve 2/5*w**2 - 12/5*w + u = 0.
0, 6
Let n(j) be the first derivative of j**3/27 - 19*j**2/9 - 80*j/9 + 592. Find l, given that n(l) = 0.
-2, 40
Let n(b) be the third derivative of 1/6*b**3 + 1/60*b**6 + 0 + 1/210*b**7 + 13*b**2 + 0*b - 1/30*b**5 - 1/336*b**8 - 1/24*b**4. Determine z so that n(z) = 0.
-1, 1
Let y be (-3)/70*-4*259/111. Factor 2/15*b**2 + 4/15 - y*b.
2*(b - 2)*(b - 1)/15
Let h(n) = -6*n**5 - 6*n**4 + 9*n**3 + 4*n**2 - 5. Let i(g) = -g**5 - g**4 - g**2 - 1. Let j(z) = h(z) - 5*i(z). Factor j(r).
-r**2*(r - 3)*(r + 1)*(r + 3)
Let z = 932/775 + -2/775. Factor -6/5*v**3 + z*v**5 + 0*v + 0*v**4 + 0*v**2 + 0.
6*v**3*(v - 1)*(v + 1)/5
Let y = 15 + -15. Let n = -22/123 + 167/246. Factor 2*i**2 + y - 2*i**3 - n*i**4 + 1/2*i**5 + 0*i.
i**2*(i - 2)*(i - 1)*(i + 2)/2
Let o(m) be the second derivative of m**8/1680 - m**7/315 + m**6/180 + m**4/6 + 3*m. Let l(a) be the third derivative of o(a). Factor l(t).
4*t*(t - 1)**2
Let c(m) = -9*m**2 - 11*m - 4. Let j(n) = -n**2 + n - 1. Suppose k - 4 = -0*k. Let f(b) = k*j(b) - c(b). Solve f(d) = 0 for d.
-3, 0
Suppose -2*n + 28 = u + 2*n, -4*n + 76 = 4*u. Let t be -2 + 20/(u/4). Suppose -4*v**3 - 3 + 8*v**t + 3 - 4*v**2 = 0. Calculate v.
0, 1
Let 0*d - d**3 - 1/2*d**5 + 0 + 4*d**2 - 5/2*d**4 = 0. What is d?
-4, -2, 0, 1
Let h(a) = -5*a + 45. Let o be h(8). Let p(n) be the third derivative of 0*n + 1/2*n**3 + 0 - 5/8*n**4 + n**2 + 1/5*n**o. Factor p(k).
3*(k - 1)*(4*k - 1)
Let z(h) be the second derivative of 0 - 5/12*h**4 + 7/2*h**2 + 5/6*h**3 + 8*h. Let l(m) = m**2 - m + 1. Let i(u) = l(u) + z(u). Let i(y) = 0. What is y?
-1, 2
Let t(o) be the second derivative of 3*o**5/20 - o**4/4 - 2*o**3 + 6*o**2 + 39*o + 2. Factor t(k).
3*(k - 2)*(k - 1)*(k + 2)
Let f(n) be the first derivative of n**4/12 - 8*n**3/9 + 7*n**2/6 + 25. Factor f(s).
s*(s - 7)*(s - 1)/3
Suppose -5/4*n**2 + 135/4*n + 0 = 0. What is n?
0, 27
Let v(z) = 3*z**3 - 28*z**2 - 53*z - 30. Let q(n) = -21*n**3 + 195*n**2 + 372*n + 210. Let s(c) = -4*q(c) - 27*v(c). Solve s(a) = 0 for a.
-1, 10
Let f(t) be the second derivative of -2*t**6/15 + 19*t**5/5 - 6*t**4 - 129*t. Let f(z) = 0. What is z?
0, 1, 18
Suppose 0*c = -3*c - 12. Suppose -7*p + 12*p - 25 = 0. Let i(w) = -12*w**2 + 12*w + 1. Let o(s) = -12*s**2 + 12*s + 2. Let m(u) = c*o(u) + p*i(u). Factor m(f).
-3*(2*f - 1)**2
Factor -177*m**2 - 115 - 65 + 86*m**2 - 60*m + 86*m**2.
-5*(m + 6)**2
Let y(s) be the first derivative of -4*s**3/3 + 172*s**2 - 340*s - 30. Factor y(c).
-4*(c - 85)*(c - 1)
Let a be (9 + -13)/(60/36 - 3). Determine j, given that 12*j**2 + 13/2*j + 17/2*j**a + 2*j**4 + 1 = 0.
-2, -1, -1/4
Let j = 14864/22287 - 2/7429. Factor -j*w**3 + 2/3*w**2 - 8/3 + 8/3*w.
-2*(w - 2)*(w - 1)*(w + 2)/3
Let f = 53 - 51. Solve 146 - 3*x**f - 146 = 0.
0
Let v = 10/7761 + 69769/62088. Factor 15/8*g**3 + 1/2*g**2 + 1/4 - v*g.
(g + 1)*(3*g - 1)*(5*g - 2)/8
Factor -25*g**5 + 78*g - 128*g**2 + 21*g**5 + 192 - 44*g**4 - 144*g**3 + 50*g.
-4*(g - 1)*(g + 2)**3*(g + 6)
Let w(b) be the third derivative of 0 - 16*b**2 - 1/6*b**4 + 0*b**3 + 0*b**5 + 0*b + 1/30*b**6. Factor w(s).
4*s*(s - 1)*(s + 1)
Let x(t) be the third derivative of -4*t**2 + 0 + 1/12*t**4 + 1/75*t**5 + 2/15*t**3 + 0*t. Factor x(o).
2*(o + 2)*(2*o + 1)/5
Suppose -1456*l + 60 = -1444*l. Determine a, given that -8/3*a - 4/3*a**4 + 0 + 8/3*a**2 - 2/3*a**l + 2*a**3 = 0.
-2, 0, 1
Let x(m) be the third derivative of -m**7/105 + m**6/12 - 4*m**5/15 + m**4/3 - 407*m**2. Factor x(z).
-2*z*(z - 2)**2*(z - 1)
Let -5674*v + 227191 + 2*v**2 + 6810*v - 65879 = 0. What is v?
-284
Let f(o) be the first derivative of 0*o - 2/15*o**3 + 1/10*o**2 - 24. Solve f(u) = 0 for u.
0, 1/2
Let z(h) be the second derivative of h**7/168 + 11*h**6/60 - 3*h**5/10 - 11*h**4/24 + 23*h**3/24 - 92*h - 2. Determine j, given that z(j) = 0.
-23, -1, 0, 1
Let m = 2087 - 41739/20. Let i(k) be the first derivative of 0*k**3 + 0*k + m*k**5 - 12 + 0*k**2 + 1/48*k**6 + 1/32*k**4. What is g in i(g) = 0?
-1, 0
Let o(d) = 15*d**3 + 3*d**2. Suppose -29*i - 84 = -36*i. Let a(u) be the third derivative of -u**6/120 + u**2. Let l(x) = i*a(x) + o(x). Factor l(t).
3*t**2*(t + 1)
Find y such that y**4 + 72*y**2 - 27*y - 3*y**4 - 66*y**3 + 12*y**4 + 8*y**4 + 6*y**4 - 3*y**5 = 0.
0, 1, 3
Let s(a) be the second derivative of -a**8/67200 - a**7/25200 - a**4/2 + 5*a. Let c(p) be the third derivative of s(p). Determine j so that c(j) = 0.
-1, 0
Let h(w) be the second derivative of -w**7/462 + w**6/110 + w**5/22 + w**4/66 - 3*w**3/22 - 5*w**2/22 + 140*w. Factor h(a).
-(a - 5)*(a - 1)*(a + 1)**3/11
Let b(t) be the third derivative of t**5/105 + t**4/21 + 2*t**3/21 + 36*t**2. Factor b(w).
4*(w + 1)**2/7
Let g(q) be the third derivative of -q**5/140 - 39*q**4/56 - 19*q**3/7 - 255*q**2. What is l in g(l) = 0?
-38, -1
Solve 2*n**4 - 8/3*n**3 - 1/3*n**5 + 0*n + 0*n**2 + 0 = 0.
0, 2, 4
Solv