the first derivative of k(i). Factor o(n).
3*(n - 2)*(n - 1)**2*(n + 1)
Let b(k) = -63*k - 437. Let a be b(-6). Let h = a - -182/3. Factor -5 - h*j**2 - 20/3*j.
-5*(j + 1)*(j + 3)/3
Let p(r) be the third derivative of r**8/168 - 2*r**7/21 + r**6/2 - 2*r**5/3 - 31*r**4/12 + 10*r**3 - r**2 - 2000. Suppose p(n) = 0. Calculate n.
-1, 1, 2, 3, 5
Let w(a) = 6*a + 139. Let y be w(9). Find i such that 33*i**2 - y*i**4 + 97*i**4 - 21*i + 21*i**3 + 0*i**3 - 36 + 99*i**4 = 0.
-4, -3, -1, 1
Suppose 238*u = 120*u. Let c(d) be the first derivative of -27 - 1/9*d**3 + u*d - 5/6*d**2. Factor c(m).
-m*(m + 5)/3
Find v such that -5430*v**3 + 9920*v**2 + 43*v**5 + 320*v**4 - 84*v**5 - 4805*v + 18*v**5 + 18*v**5 = 0.
0, 1, 31
Factor -15/2*w**3 + 0*w - 56*w**2 - 1/4*w**4 + 0.
-w**2*(w + 14)*(w + 16)/4
Find v such that 2*v + 0 + 28/15*v**2 - 2/15*v**3 = 0.
-1, 0, 15
Let g(v) be the first derivative of -14*v**4 - 21/5*v**5 + 40/3*v**3 + 24*v**2 - 3/10*v**6 - 144/5*v - 83. What is q in g(q) = 0?
-6, -1, 2/3
Suppose 4*i - o - 24 = -i, -5*o = i - 10. Suppose -y + 4*x + i = -10, 0 = 2*y + 3*x - 52. Factor -28*n**3 + 4 - 32*n - 89*n**2 + 13*n**2 - 11 + y.
-4*(n + 1)*(n + 2)*(7*n - 2)
Let v(n) be the first derivative of 104*n + 134*n**2 + 16 + 20/3*n**3. Factor v(z).
4*(z + 13)*(5*z + 2)
Let j(y) be the third derivative of -y**5/300 - 97*y**4/120 + 49*y**3/15 + 2415*y**2. Suppose j(a) = 0. What is a?
-98, 1
Solve -177/4*n**2 + 717/8*n - 45 - 3/8*n**3 = 0 for n.
-120, 1
Let o be -8 + 1 - (-8)/64*182. Factor -15/4*t**3 - 27/2 + 3/4*t**2 + o*t + 3/4*t**4.
3*(t - 3)**2*(t - 1)*(t + 2)/4
Let f(n) be the first derivative of n**4/12 - 76*n**3/3 - 697*n**2/6 + 308*n + 3287. Find i such that f(i) = 0.
-4, 1, 231
Suppose 5*z = z + z. Let m(p) be the second derivative of 0*p**3 + z - 1/5*p**5 + 2/3*p**4 + 16*p + 0*p**2. Find a such that m(a) = 0.
0, 2
Let i = -383242 + 8814568/23. What is x in 28/23 + i*x**2 - 18/23*x = 0?
2, 7
Let u = 2523 - 2523. Let f(s) be the third derivative of 0*s**3 + 1/630*s**7 + 0 + u*s - 2*s**2 + 1/60*s**5 - 1/72*s**4 - 1/120*s**6. Factor f(j).
j*(j - 1)**3/3
Let i = 905/1758 + -102/293. Determine l, given that -5/3*l**2 + i*l**3 + 0 + 0*l = 0.
0, 10
Let i(y) = 72*y - 429. Let r be i(6). Let p(x) be the first derivative of -1/14*x**4 + 1 + 6/7*x**r + 32/7*x - 24/7*x**2. Factor p(b).
-2*(b - 4)**2*(b - 1)/7
Let m be 1/(33/(-6) + 18/3). Solve 10*y**5 - m*y**3 + 6*y**4 - 5*y - 9*y**5 + 6*y**3 - 6*y**2 = 0.
-5, -1, 0, 1
Find k such that -3*k**3 - 44199 - 58430 - 22388*k + 630*k**2 + 35213 - 10048*k = 0.
-2, 106
Let v = 386208 + -386193. Suppose -84*h + 21/4*h**4 + 513/4*h**2 - 129/2*h**3 + v = 0. Calculate h.
2/7, 1, 10
Let p(h) be the first derivative of -h**3/7 - 207*h**2/7 - 14283*h/7 + 187. Determine d, given that p(d) = 0.
-69
Let h(a) = 5*a**3 - 93*a**2 + 250*a + 6. Let f(m) = 10*m**3 - 189*m**2 + 500*m + 13. Let x(p) = -6*f(p) + 13*h(p). Solve x(t) = 0 for t.
0, 5, 10
Let f(g) be the first derivative of 2*g**5/95 - 35*g**4/38 - 50*g**3/19 + 35*g**2/19 + 148*g/19 + 1544. Find t such that f(t) = 0.
-2, -1, 1, 37
Factor 137594142720000/17 + 23040/17*i**3 + 2/17*i**4 + 99532800/17*i**2 + 191102976000/17*i.
2*(i + 2880)**4/17
Let n = 704197/7 + -100597. Determine g, given that -3/7*g**4 + 9/7*g**2 - 3*g + 9/7*g**3 - n = 0.
-1, 2, 3
Suppose -o - 6*d + d = -56, -52 = -2*o + 5*d. Let 3*m**2 - 54 + o + 24*m + 39 = 0. Calculate m.
-7, -1
Let 2/5*m**2 + 1256/5*m + 197192/5 = 0. Calculate m.
-314
Let w(z) = 21*z**4 - 6*z**2 + 6. Let x(v) = v**3 - 30*v**4 + 1 + 51*v**4 + 4 + 0 - 5*v**2. Let q(r) = 5*w(r) - 6*x(r). Factor q(t).
-3*t**3*(7*t + 2)
Let m(o) be the first derivative of 0*o**2 + 0*o + 73 - 1/9*o**3. Factor m(u).
-u**2/3
Solve -1130 + y**2 + 3428 + 53*y - 1168 - 1184 = 0 for y.
-54, 1
Suppose -325 - 1187 = -504*b. Determine l, given that -3*l**2 + 1/6*l**b + 16*l - 64/3 = 0.
2, 8
Let p be (-20514)/47670 + (-1)/((-14)/6). Let o = p - -4554/7945. Suppose -o - 6/7*x + 2/7*x**3 + 0*x**2 = 0. What is x?
-1, 2
Let j(n) be the first derivative of -n**4/14 - 10*n**3/7 + 72*n**2/7 - 152*n/7 + 338. Let j(w) = 0. What is w?
-19, 2
Suppose -45*l - 12517 = -12697. Let u(c) be the third derivative of -7/2*c**3 + 0*c + 1/20*c**5 - 3/4*c**l + 0 - 32*c**2. Suppose u(b) = 0. What is b?
-1, 7
Let x = 1921 + -3106. Let k = -1185 - x. Factor -2/3*m**3 + k - 2/3*m - 4/3*m**2.
-2*m*(m + 1)**2/3
Let l(m) = 6*m**2 + 31*m + 8. Let s be l(-4). Let y be (4/(-10))/((-3)/((-75)/s)). Factor 0 - o**2 - 1/2*o - y*o**3.
-o*(o + 1)**2/2
Let k be (-5)/((-3)/(108/225)). Let n(x) be the third derivative of 0*x + 2*x**4 + 0 - 5/2*x**3 - 23*x**2 + k*x**5. Factor n(p).
3*(4*p - 1)*(4*p + 5)
Let h(f) = f**3 - 931*f**2 - 1851*f - 923. Let k(u) = 5*u**3 - 4658*u**2 - 9254*u - 4613. Let g(q) = 33*h(q) - 6*k(q). Determine s, given that g(s) = 0.
-1, 927
Let c be 6 + -3 + -1 + 0. Let q(n) = -3*n**2 + 3*n + n**2 - 5*n**2 + 2*n**2 - c. Let s(a) = 6*a**2 - 4*a + 3. Let z(g) = 5*q(g) + 4*s(g). Solve z(u) = 0 for u.
-2, 1
Let p(t) = -105*t + 5460. Let n be p(52). Let v(q) be the second derivative of 0*q**4 - 1/6*q**6 + n*q**3 - 20*q - 1/4*q**5 + 0*q**2 + 0. Factor v(a).
-5*a**3*(a + 1)
Let m = 251 + -255. Let y be 2 + m + -3 + (-23 - -28). Suppose 0 + y*z**3 - 2/5*z - 1/5*z**4 + 3/5*z**2 = 0. Calculate z.
-2, 0, 1
Let s = 1625015 - 8125074/5. Factor -20*a + 0 - 21/5*a**3 - s*a**4 - 24*a**2.
-a*(a + 1)*(a + 10)**2/5
Let g(u) be the second derivative of -u**6/60 + 7*u**5/10 + 205*u**4/24 - 1771*u**3/3 - 1815*u**2 + 320*u + 9. Determine z, given that g(z) = 0.
-15, -1, 22
Let g = -4688 - -4697. Let r(d) be the second derivative of 0 + 0*d**2 + 1/6*d**3 - g*d - 1/24*d**4. Determine w, given that r(w) = 0.
0, 2
Let a(d) be the first derivative of -9*d**5/5 - 9*d**4/8 + d**3/3 + 700. Factor a(f).
-f**2*(3*f + 2)*(6*f - 1)/2
Determine p, given that 195*p - 1343*p**2 + 90 + 5254*p**4 + 495*p**3 - 2721*p**4 - 1508*p**4 - 672*p**2 + 210*p**5 = 0.
-3, -1/6, 2/7, 1
Let v be -5 - 8/16*-22. Suppose -234*u + 109*u - v*u**2 + 3*u**3 + 116*u = 0. What is u?
-1, 0, 3
Let v = 1362398 - 1362396. Solve 22/3*a - 2/3*a**v - 20/3 = 0.
1, 10
Let r = 744941/39 + -19101. Let o(b) be the first derivative of 0*b + r*b**3 + 1/13*b**2 + 24. Suppose o(v) = 0. What is v?
-1, 0
Let u be (18 - 23)*2/15*-3. Factor 1/5*g**2 + u*g + 0.
g*(g + 10)/5
Let l(u) be the third derivative of -u**7/840 + 29*u**6/480 + 31*u**5/120 + 244*u**2 - 2. Factor l(j).
-j**2*(j - 31)*(j + 2)/4
Factor 440/3*l + 4/3*l**2 - 928.
4*(l - 6)*(l + 116)/3
Let d = -119494 - -119494. Suppose -3/2*i**5 + d*i + 18*i**3 - 3/2*i**4 + 0 + 0*i**2 = 0. Calculate i.
-4, 0, 3
Suppose 648*t = -55 + 2647. Factor -2/13*b**t - 8/13 - 2*b**2 + 24/13*b + 12/13*b**3.
-2*(b - 2)**2*(b - 1)**2/13
Factor 0 + 73/4*r**3 - 342*r**2 - 1/4*r**4 + 324*r.
-r*(r - 36)**2*(r - 1)/4
Suppose -38 - 17 = -25*p - 5. Let s(m) be the third derivative of 0*m + 2/9*m**3 + 1/36*m**4 + 0 + 2*m**p - 1/90*m**5. Factor s(r).
-2*(r - 2)*(r + 1)/3
Let h(t) be the third derivative of -t**5/60 + 4*t**4 + 17*t**2 - 2*t + 3. Factor h(v).
-v*(v - 96)
Let 146*i - 660/13 + 6/13*i**3 + 244/13*i**2 = 0. What is i?
-30, -11, 1/3
Let g(w) be the third derivative of w**7/315 - w**6/9 + 17*w**5/30 - 3591*w**2 - w. Factor g(z).
2*z**2*(z - 17)*(z - 3)/3
Let m be (-224)/(-21)*12/16 - (-1632)/459. Find o such that -50/9*o**2 - 320/9*o + 310/9*o**3 - m + 10/9*o**5 + 154/9*o**4 = 0.
-13, -2, -1, -2/5, 1
Let q be (4/(-84))/((-31)/93). Let v be (-3*1)/(3/(-2)). Let 0 + q*w + 1/7*w**v = 0. What is w?
-1, 0
Factor 513/4*o - 1215/4 + 3/4*o**3 - 69/4*o**2.
3*(o - 9)**2*(o - 5)/4
Let z = 12411 + -86871/7. Let r(f) be the first derivative of -2/21*f**3 + 22 - z*f**2 + 0*f. Find c, given that r(c) = 0.
-6, 0
Let l(q) be the first derivative of -q**4/10 - 44*q**3/15 + 23*q**2/5 - 47. Let l(n) = 0. Calculate n.
-23, 0, 1
Let i = 35720633/1220632 - 16373/568. Let j = -3/307 + i. Let -6/7 + 3/7*v**2 - j*v = 0. What is v?
-1, 2
Let q = 391/2 + -4505/22. Let k = q + 482/33. Let -686/3*t**4 + k + 140*t**2 - 98/3*t**3 - 152/3*t = 0. What is t?
-1, 2/7
Let b(z) be the second derivative of 5/42*z**7 - 4*z + 11/4*z**5 + 13 + 7/6*z**6 + 0*z**3 + 25/12*z**4 + 0*z**2. Let b(h) = 0. Calculate h.
-5, -1, 0
Factor -2162/3 - 2161/3*a + 1/3*a**2.
(a - 2162)