pose -19/9*v**3 - 11/9*v**4 - 1/3*v - 2/9*v**5 + 0 - g*v**2 = 0. Calculate v.
-3, -1, -1/2, 0
Let d be ((-28)/49)/(1/(-7)) + -1. Let j(m) be the second derivative of 1/12*m**4 + 1/20*m**5 - 1/30*m**6 + 0 - 4*m + 0*m**2 - 1/6*m**d. Factor j(x).
-x*(x - 1)**2*(x + 1)
Let l be 21/(-70)*(-1 - 1). Let v be (-5 - -6)/(2/6). Factor l*b**v - 3/5*b + 0 + 0*b**2.
3*b*(b - 1)*(b + 1)/5
Factor 2 + 5/2*d + 1/2*d**2.
(d + 1)*(d + 4)/2
Let b(s) be the first derivative of -s**5/15 - 4*s**4/3 + 76*s**3/9 - 40*s**2/3 + 74. Factor b(y).
-y*(y - 2)**2*(y + 20)/3
Solve -1/2*k**3 - 143/2*k - 169/2 + 25/2*k**2 = 0.
-1, 13
Let m(g) be the first derivative of g**6/420 + g**5/70 - 4*g**3/21 + 15*g**2 - 27. Let o(v) be the second derivative of m(v). Factor o(n).
2*(n - 1)*(n + 2)**2/7
Let r(h) be the third derivative of -h**8/378 + 4*h**7/45 - 77*h**6/540 - 31*h**5/135 + 13*h**4/36 + 20*h**3/27 + 153*h**2 - 2*h. Find m such that r(m) = 0.
-1/2, 1, 20
Let a(h) be the third derivative of -h**8/4032 + h**7/336 - h**6/72 - 13*h**5/30 - 12*h**2. Let m(d) be the third derivative of a(d). Factor m(c).
-5*(c - 2)*(c - 1)
Let x(y) be the second derivative of y**6/75 - 37*y**5/50 + 62*y - 5. Factor x(t).
2*t**3*(t - 37)/5
Solve 3437 - v**2 + 354 - 191 + 5*v**2 - 240*v = 0 for v.
30
Let w be ((-147)/63)/(-1) - 1/3. Factor 2/3*a**w - 2*a + 0.
2*a*(a - 3)/3
Let v = -2/42053 - -91754/42053. Suppose -14/11*k**5 + 24/11*k**2 - v*k**4 + 2*k**3 + 0 - 8/11*k = 0. What is k?
-2, -1, 0, 2/7, 1
Let l(c) be the second derivative of -5*c**4/12 - 55*c**3/6 + 30*c. Factor l(t).
-5*t*(t + 11)
Factor 0 - 75*z**2 - 1875*z - 3/4*z**3.
-3*z*(z + 50)**2/4
Let q(b) be the second derivative of b**8/6720 + b**7/630 + b**6/240 - b**4/6 - 19*b. Let k(w) be the third derivative of q(w). Find a such that k(a) = 0.
-3, -1, 0
Factor -83*v**2 - 16 + 38 + 61*v**2 + 2*v - 2*v**3.
-2*(v - 1)*(v + 1)*(v + 11)
Factor 276/7*p - 278/7 + 2/7*p**2.
2*(p - 1)*(p + 139)/7
Let q(b) be the second derivative of b**7/42 + 4*b**6/15 + 3*b**5/4 - 2*b**4/3 - 8*b**3/3 - 4*b. Let q(x) = 0. Calculate x.
-4, -1, 0, 1
Let u be 4 - -37 - 2/(0 + -2). Let o be ((-6)/4)/(u/(-112)). Suppose 0 + 3*r + 0*r**3 + 3/2*r**o - 9/2*r**2 = 0. What is r?
-2, 0, 1
Let y(u) = -u + 4. Let p be y(0). Factor 1 + 8*t + p - 5 - 20*t**2 + 12*t**3.
4*t*(t - 1)*(3*t - 2)
Let s(k) be the third derivative of k**5/30 + 5*k**4/6 - 11*k**3/3 + 103*k**2. Find v, given that s(v) = 0.
-11, 1
Let c be 2 + ((-6)/(-9))/(3/(-9)). Suppose -9*t + 22 = 2*t. Factor 1/2*d**5 + 1/2*d**4 + 0 - 1/2*d**t - 1/2*d**3 + c*d.
d**2*(d - 1)*(d + 1)**2/2
Suppose -5*h = 2*i + 6 - 37, 0 = 2*h - 5*i + 5. Let -8*k + k**2 + h*k + 8*k + 4*k**2 = 0. Calculate k.
-1, 0
Suppose -23 + 15 = -2*k, -5*k + 25 = 5*t. Suppose -5*n - 4*l = -9*l - 15, -t = -l. Factor 4/7*p**n - 5/7*p**3 + 0*p + 2/7*p**2 + 0 - 1/7*p**5.
-p**2*(p - 2)*(p - 1)**2/7
Let y be 5*(36/5)/3. Suppose 3*n - 14 + 44 = 5*k, k + y = -3*n. Solve -16*v - 9*v**4 - 9*v**5 + 24*v**k + 16/3 + 8/3*v**2 = 0.
-2, -1, 2/3
Let v(x) = -5*x**2 - 94*x - 2605. Let g(h) = h**2 - 2*h + 1. Let u(a) = 20*g(a) + 5*v(a). Factor u(r).
-5*(r + 51)**2
Suppose 0 = l + h + 19, -h - 35 = 2*l + 6. Let j = 89/4 + l. Factor -j*y**3 + 0*y**2 + 0*y + 0.
-y**3/4
Let k(z) be the third derivative of z**8/1344 + z**7/168 + z**6/48 + z**5/24 - 5*z**4/24 - 12*z**2. Let s(g) be the second derivative of k(g). Factor s(j).
5*(j + 1)**3
Let k be -1*(0 - 2*2). Let i be (40/(-24))/(-5 + 220/48). Find r such that r**k + r**i - 4*r**4 - 2*r**4 - 4*r**5 = 0.
-1, 0
Let i = 122 - 118. What is f in -108 + 2*f**4 + 14*f**4 + 32*f**3 + 2*f**5 - 40*f**2 + i*f**2 - 162*f = 0?
-3, -1, 2
Factor -2/13*j**2 - 68/13*j + 70/13.
-2*(j - 1)*(j + 35)/13
Let a(s) be the first derivative of -2/9*s**3 + 0*s + 9 + 1/18*s**4 + 2/9*s**2. Factor a(o).
2*o*(o - 2)*(o - 1)/9
Let a(j) = -14*j**3 + 629*j**2 - 761*j + 150. Let k(s) = -25*s**3 + 1260*s**2 - 1525*s + 300. Let c(o) = -5*a(o) + 2*k(o). Solve c(l) = 0.
1/4, 1, 30
Solve 33*z**2 - 3/2*z**3 + 30 - 123/2*z = 0.
1, 20
Let l(g) be the first derivative of 2 + 0*g**2 + g - 1/12*g**3. Factor l(c).
-(c - 2)*(c + 2)/4
Determine z so that 2880/7*z + 2700/7 + 183/7*z**2 + 3/7*z**3 = 0.
-30, -1
Suppose -6*v + 2*v = 0. Let d(l) be the third derivative of 2/33*l**3 + v*l + 5/132*l**4 + 2/165*l**5 + 1/660*l**6 + 5*l**2 + 0. Factor d(o).
2*(o + 1)**2*(o + 2)/11
Suppose 1/2*g**2 - 9 + 1/4*g**3 - 15/4*g = 0. Calculate g.
-3, 4
Let i be 23/(-234) - (-208)/1352. Let k(d) be the first derivative of -1/8*d**4 - 4 + 0*d**2 + i*d**3 + 1/10*d**5 + 0*d - 1/36*d**6. Factor k(w).
-w**2*(w - 1)**3/6
Find m, given that 0 + 88/7*m**3 + 4/7*m**2 + 484/7*m**4 + 0*m = 0.
-1/11, 0
Factor 204*q**2 + 201 + 807/2*q + 3/2*q**3.
3*(q + 1)**2*(q + 134)/2
Suppose -30*a + 20 = -70. Let b(c) be the second derivative of 1/4*c**4 + 3*c - 9/20*c**5 - 3*c**2 + 3/2*c**a + 1/10*c**6 + 0. Factor b(z).
3*(z - 2)*(z - 1)**2*(z + 1)
Let c(v) = -5*v**2 + 17*v - 20. Suppose -7*l - 33 = 4*l. Let u(o) = o**2 - o. Let m(r) = l*u(r) - c(r). Factor m(d).
2*(d - 5)*(d - 2)
Let l(k) = 2*k**5 - 32*k**4 + 60*k**3 - 18*k**2 + 3*k. Let d(q) = -q**5 + 32*q**4 - 61*q**3 + 18*q**2 - 4*q. Let j(h) = -3*d(h) - 4*l(h). Factor j(g).
-g**2*(g - 3)**2*(5*g - 2)
Let g(z) be the second derivative of 4*z**6/15 + 7*z**5/5 + 7*z**4/3 + 4*z**3/3 - 416*z. Find t such that g(t) = 0.
-2, -1, -1/2, 0
Let n = 537/1393 - 88348/129549. Let y = -1/93 - n. Factor 0*u - 2/7*u**4 + 0 + 4/7*u**2 - y*u**3.
-2*u**2*(u - 1)*(u + 2)/7
Find z, given that 116*z**3 + 156*z**2 + 10*z**4 + 3*z**4 + 3*z**4 + 72*z + 4*z**5 + 20*z**4 = 0.
-3, -2, -1, 0
Let y(x) be the third derivative of x**7/140 - x**6/16 - 9*x**5/40 + 81*x**4/16 - 27*x**3 + 113*x**2. Factor y(k).
3*(k - 3)**3*(k + 4)/2
Let a(w) be the third derivative of -w**6/210 - 131*w**5/105 - 704*w**4/7 + 2904*w**3/7 - 4*w**2 - 10*w. Factor a(j).
-4*(j - 1)*(j + 66)**2/7
Let k be ((-8)/6)/(4*(-5)/30). Let c = -1/5 - -9/20. Solve c*s - 1/2 + 1/4*s**k = 0 for s.
-2, 1
Let k(o) = -o**3 + o**2 + 8*o - 3. Let t be k(3). Suppose -6 = -t*g - 0. Suppose -1 - g*q**2 - 5/2*q - 1/2*q**3 = 0. What is q?
-2, -1
Let 8*a - 14*a + 2*a**2 + 0*a - 2 + 4*a + 2*a**3 = 0. Calculate a.
-1, 1
Let r be (-1)/2*10/9. Let p = -19/99 - r. Factor 14/11*s**2 - p + 10/11*s.
2*(s + 1)*(7*s - 2)/11
Let k = 608/3223 + -2/293. Let a(d) = -d**2 + 15*d - 24. Let f be a(2). Let -k*v**f - 6/11*v - 4/11 = 0. What is v?
-2, -1
Let v = -12245/2 - -6124. Solve v*u**2 - 6 + 0*u = 0 for u.
-2, 2
Let n be (10/(-150))/(18/(-108)). Suppose 0 - 4/5*q**2 - 6/5*q + n*q**3 = 0. What is q?
-1, 0, 3
Let o(v) be the third derivative of -13*v**2 + 2/5*v**3 + 11/60*v**4 + 0 + 0*v - 1/300*v**6 + 2/75*v**5. Solve o(f) = 0.
-1, 6
Suppose 93 = 11*j + 38. Let r(b) be the first derivative of -1/5*b**j + 1/3*b**3 - 1/12*b**6 + 1/4*b**2 + 0*b**4 + 0*b + 2. Factor r(x).
-x*(x - 1)*(x + 1)**3/2
Suppose -6*o + 168 - 144 = 0. Let c(w) be the second derivative of -o*w + 11/51*w**3 + 0 - 3/17*w**2 + 2/51*w**4. Factor c(j).
2*(j + 3)*(4*j - 1)/17
Let l be (15 - 7)/(-8)*(5 + 1 + -8). Solve 6*q**l + 3 - 15/2*q - 3/2*q**3 = 0.
1, 2
Factor 536*t**3 + 26*t**2 - 268*t**3 - 288*t**3 - 10*t**2 + 4*t**4.
4*t**2*(t - 4)*(t - 1)
Let y(f) = -6*f**2 - 4*f - 6. Let d(g) = -10*g**2 - 7*g - 10. Let s(l) = -l**2 - l - 1. Let o(h) = -d(h) - s(h). Let u(i) = 4*o(i) + 7*y(i). Factor u(r).
2*(r + 1)**2
Factor 8/9*d**3 + 2/9*d**4 + 10/9 - 8/9*d - 4/3*d**2.
2*(d - 1)**2*(d + 1)*(d + 5)/9
Let j(t) be the second derivative of -t**7/21 - 4*t**6/15 - 3*t**5/10 + 833*t. Factor j(c).
-2*c**3*(c + 1)*(c + 3)
Find z, given that 3*z**5 - 18*z + 12*z**3 + 8*z**2 + 3*z**3 - z**2 + 8*z**2 - 15*z**4 = 0.
-1, 0, 1, 2, 3
Let q(f) = f**2 + 4*f + 10. Let m be q(-4). Let v(z) = z - 7. Let h be v(m). Factor 0*y + 0*y**2 + 3/2*y**4 + 0 + 3/2*y**h.
3*y**3*(y + 1)/2
Let z = -116 + 121. Let y(r) be the first derivative of -3/10*r**4 - 3/25*r**5 + 3/5*r + 0*r**3 + 3/5*r**2 + z. Factor y(g).
-3*(g - 1)*(g + 1)**3/5
Let w(q) be the first derivative of -2*q + 1/2*q**3 + 0*q**2 + 7 - 1/4*q**4. Let s(x) be the first derivative of w(x). What is n in s(n) = 0?
0, 1
Let i = -91666/5 + 21174502/1155. Let o = -2/165 - i. Factor o*y**2 + 0 + 2/7*y.
2*y*(y + 1)/7
Suppose 7*m - 15 = 4*m. Let w = 4786 - 4782. Find d suc