erivative of 4*i**7/21 - 46*i**6/15 - 66*i**5/5 - 55*i**4/3 - 28*i**3/3 + 659*i - 2. Solve h(z) = 0 for z.
-1, -1/2, 0, 14
Suppose 0 = -8*g + 7*g - 11*g. Let i(k) be the second derivative of 0 + 8*k + g*k**2 - 1/60*k**4 + 1/15*k**3. Factor i(c).
-c*(c - 2)/5
Let v(t) be the first derivative of 5*t**6/6 + 2*t**5 - 15*t**4/4 - 40*t**3/3 - 10*t**2 + 77. Factor v(k).
5*k*(k - 2)*(k + 1)**2*(k + 2)
Let m(v) be the first derivative of 2*v**3/3 + 276*v**2 + 38088*v - 111. Factor m(x).
2*(x + 138)**2
Determine n, given that -1/3 - 13/6*n**3 + 13/6*n - 3/2*n**2 + 11/6*n**4 = 0.
-1, 2/11, 1
Let p(g) be the first derivative of -g**6/105 + g**5/35 - g**4/42 + 9*g + 12. Let c(i) be the first derivative of p(i). Factor c(x).
-2*x**2*(x - 1)**2/7
Let j(y) be the third derivative of 1/40*y**5 + 0*y - 1/420*y**7 + 0*y**4 + 0 + 0*y**3 - 3*y**2 + 1/120*y**6. Solve j(r) = 0.
-1, 0, 3
Find w such that 3/5*w**4 - 27/5*w**2 + 3*w + 0 + 9/5*w**3 = 0.
-5, 0, 1
Let l = -275/77532 - -3/364. Let w = 644/1065 - l. Determine v so that -w*v**2 + 1/5*v**4 + 0*v**3 - 2/5*v + 0 = 0.
-1, 0, 2
Let n = 22 - 4. Let h = n - 15. Factor -2*w**2 + 5*w - h*w - w**3 + 3*w**2.
-w*(w - 2)*(w + 1)
Let t be (-1 - 5) + 3 + 3. Let r be (-61)/(-21) + (t - (-30)/70). Find v such that r*v + v**2 + 1 = 0.
-3, -1/3
Let x(c) be the first derivative of -c**5/60 + c**3/6 - 25*c**2/2 + 2. Let v(s) be the second derivative of x(s). Determine q, given that v(q) = 0.
-1, 1
Let w(p) be the second derivative of 0 - p**3 - 3/5*p**5 - 5/4*p**4 - 1/10*p**6 + 0*p**2 + 8*p. Suppose w(m) = 0. What is m?
-2, -1, 0
Factor 13/5*q**2 + 0*q + 0 - 1/5*q**3.
-q**2*(q - 13)/5
Let n(h) be the first derivative of 1/20*h**5 - 31 - 3/8*h**4 + 1/3*h**3 - 5/4*h + 3/4*h**2. Factor n(m).
(m - 5)*(m - 1)**2*(m + 1)/4
Let r(x) = -111*x + 6774. Let z be r(61). Determine p, given that -1/2*p**z + 3/10*p**2 + 1/10*p**4 + 9/10*p + 0 = 0.
-1, 0, 3
Factor -604/7*t + 45602/7 + 2/7*t**2.
2*(t - 151)**2/7
Let 63*v**2 + 73*v - 46*v + 3*v**3 + 24*v - 6*v**2 + 51 + 54*v = 0. What is v?
-17, -1
Let i(u) be the first derivative of -u**4/26 + 186*u**3/13 - 25947*u**2/13 + 1608714*u/13 - 597. Suppose i(j) = 0. Calculate j.
93
Let n(k) = -4*k**5 + 24*k**4 + 88*k**3 - 128*k**2 - 204*k + 176. Let v(i) = -i**4 - i**3 - i**2 - i. Let u(m) = -n(m) + 12*v(m). Find c such that u(c) = 0.
-2, 1, 11
Suppose 87*s + 14055 = 14229. Find f such that 2/11*f**3 + s*f + 0 + 24/11*f**2 = 0.
-11, -1, 0
Let w(c) be the third derivative of 1/390*c**5 - 9*c**2 - 1/52*c**4 + 0*c + 0*c**3 + 0. Determine a, given that w(a) = 0.
0, 3
Factor -12*g**2 + 12*g**4 + 3*g**3 + 13*g**3 + 0*g**3 + 4*g**5 - 2*g**5 - 18*g.
2*g*(g - 1)*(g + 1)*(g + 3)**2
Let o = -8/1381 + 11088/6905. Factor 4/5 + 8/5*x**3 + 0*x**2 - o*x - 4/5*x**4.
-4*(x - 1)**3*(x + 1)/5
Let b(d) be the second derivative of -7*d**5/5 - 61*d**4/3 + 180*d**3 - 144*d**2 + 306*d. Find n such that b(n) = 0.
-12, 2/7, 3
Let l = -146 - -151. Let f be 12/27*6 + (-1)/6. What is i in 5*i**2 - 1/2*i**5 + 5/2*i**4 - l*i**3 + 1/2 - f*i = 0?
1
Let p be ((-5)/(-39))/((-150)/(-360)). Factor 0*i**2 + p*i - 2/13*i**4 - 4/13*i**3 + 2/13.
-2*(i - 1)*(i + 1)**3/13
Let i(p) be the third derivative of 0*p**3 - 1/280*p**7 - 35*p**2 + 0 + 1/8*p**4 + 1/20*p**5 - 1/160*p**6 + 0*p. What is r in i(r) = 0?
-2, -1, 0, 2
Let f be (-37)/(-3) - 2/(-3). Suppose 6 = 2*x + 4, 3*w + 4*x = f. Solve 6*j**2 - 5*j**2 + w - 2 + j + j = 0 for j.
-1
Let c(a) be the second derivative of -a**4/12 - 18*a**3 - 1458*a**2 - 113*a. Factor c(y).
-(y + 54)**2
Let o(t) be the first derivative of -t**3 + 45*t**2/2 - 150*t - 246. Factor o(d).
-3*(d - 10)*(d - 5)
Factor 6*m**2 - 6*m**2 + 4*m**3 - 10*m - 3 + 9*m**2.
(m - 1)*(m + 3)*(4*m + 1)
Let y be ((-4)/25)/(36/20 - 2). Solve 0*u**2 - 4/5 + y*u**4 - 8/5*u**3 + 8/5*u = 0 for u.
-1, 1
Let z(q) = -3*q**3 + 2*q + 1. Let s be z(-1). Factor -12*i**4 - 4*i**2 + 15*i**3 + 7*i**4 - 16*i**s + 5*i**2 + 5*i.
-5*i*(i - 1)**3
Let c be ((0 - -2) + -4)*-1. Suppose -13*z - 4*u = -15*z + 8, 0 = 3*u. Find h, given that h**3 - 1/2*h + 0 - 1/2*h**5 + 0*h**c + 0*h**z = 0.
-1, 0, 1
Let b(k) be the second derivative of 4/195*k**6 - 2/65*k**5 - 1/273*k**7 - 1/39*k**4 + 0 - 2/13*k**2 + 5/39*k**3 - 19*k. Solve b(j) = 0.
-1, 1, 2
Let t be 5*(7 - 12/3). Find p, given that 12*p**2 - t*p + 2 - 3*p**3 + 6 - 2 = 0.
1, 2
Suppose -48 = 12*t - 9*t. Let p be ((-6)/16)/(12/t). Determine i so that -1 - 1/2*i**4 - 1/2*i**3 + p*i + 3/2*i**2 = 0.
-2, -1, 1
Let l(p) be the first derivative of -9*p**4/4 + 8*p**3 - 9*p**2/2 - 6*p + 63. Solve l(t) = 0 for t.
-1/3, 1, 2
Let w(b) = -b**2 - 20*b - 11. Let y be w(-19). Suppose -18*p + 28*p**3 - y*p**3 - 57*p**2 - 5*p**4 - 52*p**3 = 0. Calculate p.
-3, -2/5, 0
Let h(r) be the second derivative of r**6/5 + 11*r**5/5 + 16*r**4/3 - 32*r**3/3 - 40*r. Solve h(s) = 0.
-4, 0, 2/3
Let v(a) = -6*a**3 - 9*a**2 - 50*a - 67. Let k(l) = 7*l**3 + 8*l**2 + 48*l + 66. Let r(o) = -5*k(o) - 6*v(o). Solve r(x) = 0 for x.
-6, -2
Let s(y) = 12*y**3 - 58*y**2 + 62*y - 16. Let w(c) = -11*c**3 + 58*c**2 - 62*c + 15. Let r(t) = 3*s(t) + 4*w(t). Suppose r(v) = 0. Calculate v.
1/4, 1, 6
Let j(q) be the second derivative of -q**6/2 + 17*q**5 - 2035*q**4/12 + 605*q**3/3 + 139*q. Suppose j(k) = 0. Calculate k.
0, 2/3, 11
Let r = -13/30 + 7/12. Let u(b) be the second derivative of -2*b - r*b**5 + 1/2*b**4 - 1/2*b**3 + 0*b**2 + 0. Suppose u(v) = 0. What is v?
0, 1
Let d = -55 - -60. Let u(p) be the second derivative of 5/48*p**4 + 1/8*p**6 + 10*p - 5/168*p**7 + 0*p**2 - 3/16*p**d + 0*p**3 + 0. Factor u(s).
-5*s**2*(s - 1)**3/4
Let h(s) = -68 - 3*s + 13 + 7. Let f be h(-16). Factor -1/2*j**3 + 1/2*j + 0 + f*j**2.
-j*(j - 1)*(j + 1)/2
Let w(n) be the first derivative of -n**4/16 + 3*n**3/2 - 15*n**2/8 - 17*n/2 + 407. Factor w(a).
-(a - 17)*(a - 2)*(a + 1)/4
Let w(q) be the first derivative of -q**7/210 - q**6/108 + q**5/180 + 8*q**3/3 - 5. Let a(r) be the third derivative of w(r). Suppose a(l) = 0. Calculate l.
-1, 0, 1/6
Factor 2*b**4 - 4*b + 6*b - 9*b**2 + 2*b**4 + 0*b**3 - 9*b**3 + 12*b**3.
b*(b - 1)*(b + 2)*(4*b - 1)
Let f be (-3 + 8)*(-14)/(-35). Let a(q) be the second derivative of -3/20*q**5 + 0 + 1/2*q**3 + 0*q**f + 15*q + 0*q**4. Find g, given that a(g) = 0.
-1, 0, 1
Let i(z) be the second derivative of -2*z**6/15 + z**5 - 8*z**4/3 + 8*z**3/3 + 143*z. Factor i(s).
-4*s*(s - 2)**2*(s - 1)
Let w(c) = 5*c - c + c**2 - 4*c**2. Let p(b) = -12*b**2 + 15*b. Suppose -g + 82 = 73. Let h(r) = g*w(r) - 2*p(r). Suppose h(k) = 0. Calculate k.
0, 2
Let j be 1/(90/(-20) - -5). Suppose 0 - 2/9*f**j + 2/9*f = 0. Calculate f.
0, 1
Suppose 13*s = -12*s + 3800. Let x = s - 149. What is j in -2*j**x + 0 + 4/3*j**2 + 0*j - 10/3*j**4 = 0?
-1, 0, 2/5
Let -17/5*y**4 + 36/5*y**2 + 3*y**3 + 4/5*y + 0 = 0. Calculate y.
-1, -2/17, 0, 2
Let h(c) be the first derivative of -45*c**4/4 - 5*c**3 + 325*c**2/2 + 375*c + 264. Factor h(y).
-5*(y - 3)*(3*y + 5)**2
Suppose 14 - 4 = 5*i. Factor -53*k**i + 59*k**2 - 4*k**5 + 15*k**3 + 2*k**5 + 12*k**4 + 5*k**5.
3*k**2*(k + 1)**2*(k + 2)
Find v, given that 3721/5 - 122/5*v + 1/5*v**2 = 0.
61
Let d(l) = l**3 + 11*l**2 + 3. Let r be d(-11). Suppose -92*z + 29 + 41*z + 1 - 66*z**2 + 15*z**r = 0. Calculate z.
-1, 2/5, 5
Let c = -26 - -28. Let z(i) = i - 4. Let d be z(6). Factor 74*x**c + 4*x - 75*x**2 + 1 - 2*x**3 - d*x.
-(x - 1)*(x + 1)*(2*x + 1)
Let x = -63 - -61. Let c be 4/(-8)*-8*x/(-12). Find i, given that c*i**5 + 0 + 4/3*i**4 - 4/3*i**2 + 0*i**3 - 2/3*i = 0.
-1, 0, 1
Let -19*u**3 + 114*u**2 + 70*u**3 + 1454*u**5 - 1445*u**5 - 174*u**4 = 0. What is u?
-2/3, 0, 1, 19
Let c(v) be the second derivative of v**6/90 + v**5/20 - v**4/12 - 7*v**3/18 + v**2 + 5*v - 2. Determine u, given that c(u) = 0.
-3, -2, 1
Let b(n) be the first derivative of -3*n**4/4 + 8*n**3 - 57*n**2/2 + 36*n + 40. Factor b(x).
-3*(x - 4)*(x - 3)*(x - 1)
Let x(r) be the third derivative of 1/10*r**5 + 0*r**4 + 0 - 1/40*r**6 + 0*r - 14*r**2 + 0*r**3. Factor x(t).
-3*t**2*(t - 2)
Let k(x) be the second derivative of -11*x + 0 - 45/4*x**5 + 10*x**3 - 185/12*x**4 + 10*x**2. Factor k(b).
-5*(b + 1)*(5*b - 2)*(9*b + 2)
Factor -16*j + 88 - 42*j + 94*j - 4*j**2.
-4*(j - 11)*(j + 2)
Let q(b) = b**3 - b + 1. Let c = 2 + -3. Let a(l) = -3*l**3 + 4*l**3 + 3*l**3 - 1 - 4*l - l