ctor l - 12 + y**2 - 23.
(y - 1)*(y + 1)
Suppose 4*t - 851 = 3*t - 846. Let r(n) be the third derivative of -5/56*n**4 + 0 + 0*n**3 + 21*n**2 - 1/140*n**t + 0*n. Factor r(m).
-3*m*(m + 5)/7
Let x be -3*(-15)/9 - 51*(-99)/(-1080). Let y(i) be the first derivative of 1/2*i**2 - 1/12*i**6 + 40 - 3/8*i + x*i**5 - 1/12*i**3 - 3/8*i**4. Factor y(h).
-(h - 1)**4*(4*h + 3)/8
Let i = 94140 + -282412/3. Factor 4*c**3 + i + 2/3*c**4 + 26/3*c**2 + 8*c.
2*(c + 1)**2*(c + 2)**2/3
Let h(x) be the second derivative of 0 - 90*x + 10*x**2 + 4/3*x**3 - 1/12*x**4. What is d in h(d) = 0?
-2, 10
Factor 253/2 + 127*t + 1/2*t**2.
(t + 1)*(t + 253)/2
Let u(x) be the third derivative of -266*x**2 - 47/8*x**4 + 0*x**3 + 0 + 0*x + 1/20*x**5. Find h such that u(h) = 0.
0, 47
Let b be (78/91)/(2/7). Factor 1563*d**3 + 8*d - 18*d**2 - 1553*d**b - 24*d**2.
2*d*(d - 4)*(5*d - 1)
Let f = 38570353/41664 + -199/5952. Find k such that 1161/7*k**2 - f*k - 3/7*k**5 - 33/7*k**4 + 8100/7 + 159/7*k**3 = 0.
-10, 3
Let p(v) be the first derivative of -2/3*v**6 - 115 - 20/3*v**3 + 4*v**5 + 0*v + 8*v**2 - 3*v**4. Determine h, given that p(h) = 0.
-1, 0, 1, 4
Suppose -5*s = 73 + 47. Let b = s + 27. Determine k so that k**4 - 15*k**2 + k - 6 + 20*k**4 - 27*k**b + 26*k = 0.
-1, 2/7, 1
Suppose -1551*o + 58*o**2 - 1319 - 61*o**2 - 229 = 0. Calculate o.
-516, -1
Suppose 0*x = -4*x - 35880. Let u be (-1)/(8/6) + x/(-184). Determine v, given that 3*v**2 + 34*v + 38*v - 18*v**3 + 3*v**4 + u + 0*v**4 = 0.
-1, 4
Let j = 15 - 11. Let o be 4/(2 + j/4*-1). Factor 47*z**5 - 35*z**o + 2*z**5 + 5*z**5 + 56*z**2 - 36*z**3 - 16*z - 19*z**4.
2*z*(z + 1)*(3*z - 2)**3
Find h, given that -95*h**2 - 30*h**2 - 4*h**4 + 8*h**5 + 110 - 13*h**5 + 49*h**4 + 210*h + 90 - 85*h**3 = 0.
-1, 2, 4, 5
Suppose -16 = 4*u, -4*c - 20 = -6*c + 3*u. Let t(g) be the second derivative of 15*g + 1/30*g**6 + 7/12*g**4 + 0 - 9/20*g**5 + 3/2*g**3 - c*g**2. Factor t(x).
(x - 8)*(x - 1)**2*(x + 1)
Let f = -13250 + 26521/2. Let t(v) be the first derivative of -6/5*v**5 - 3/4*v**4 + f*v**2 + 6*v - 30 + 6*v**3. Determine r, given that t(r) = 0.
-1, -1/2, 2
Suppose 0 = -5*x - 3*n + 13, 4*x = 2*n + 34 - 28. Factor -16/3 - 14*d**x + 2/3*d**4 - 46/3*d - 10/3*d**3.
2*(d - 8)*(d + 1)**3/3
Let r be (3/3 + 2)/((-36)/(-96)). Let z(a) = -6*a - 6. Let i be z(-5). Factor -3 + 25*f**4 + 23*f**4 - 44*f**2 + 32*f**5 - i*f - 1 - r*f**3.
4*(f - 1)*(f + 1)*(2*f + 1)**3
Suppose 501*f - 3*p = 503*f + 4620, -4*f - 5*p = 9242. Let z = -2313 - f. Suppose 2/3*k**3 + 2*k**4 + z*k + 8/3 - 14/3*k**2 - 2/3*k**5 = 0. What is k?
-1, 1, 2
Let p(g) be the third derivative of 0*g + 0*g**4 - 1 + 49/264*g**8 + 4/165*g**5 + 0*g**3 + 14/55*g**7 + 7/55*g**6 + 50*g**2. Find s such that p(s) = 0.
-2/7, 0
Let t(b) be the first derivative of -2*b**3/21 - 153*b**2/7 - 604*b/7 + 3998. Factor t(s).
-2*(s + 2)*(s + 151)/7
Let u = 67 + -54. Let k be 4 - (-1)/(-2)*4. Factor -2*l**3 + 29*l - 2 + 4*l**k - u*l - 2 - 14*l.
-2*(l - 2)*(l - 1)*(l + 1)
Let o(q) be the first derivative of -3*q**4/4 - 347*q**3 - 90825*q**2/2 - 89787*q - 2381. Factor o(h).
-3*(h + 1)*(h + 173)**2
Factor -3*l**3 + 8 + 4 - 8 + 2421*l + 798*l**2 - 4.
-3*l*(l - 269)*(l + 3)
Let y(a) be the first derivative of -a**4/18 - 106*a**3/27 + 6*a**2 - 300. Factor y(o).
-2*o*(o - 1)*(o + 54)/9
Suppose -5*c = -65 - 40. Suppose -c*g = -20*g - 10. Factor -2*t**3 + 0*t**3 - 8*t - 17 - g*t**2 - 6*t + 11.
-2*(t + 1)**2*(t + 3)
Solve 0 + 4*b**4 + 88/7*b**3 - 96/7*b + 16/7*b**2 = 0.
-2, 0, 6/7
Let z = -2 - -8. Let o = 3564 + -3562. Solve -10 + 4*m**o + 4*m + z*m - 5 + m**2 = 0 for m.
-3, 1
Let t be (-2)/5 - 529872/5472*(-3)/70. Factor -l**3 + 0 + l + t*l**2.
-l*(l - 4)*(4*l + 1)/4
Let q(t) = -2*t - 18. Let f = 0 + -11. Let x be q(f). Solve -10*l**3 + 3*l**x - l**4 + 0*l**3 + 7 - 15 + 16*l - 2*l**2 + 2*l**5 = 0 for l.
-2, 1
Let k be (((-1)/(7/(-4)))/3)/(22968/775170). Find s, given that 24/7 + 174/7*s - k*s**2 = 0.
-2/15, 4
Let y(n) be the first derivative of 8*n - 112/5*n**2 - 9/10*n**4 - 49 + 202/15*n**3. Solve y(b) = 0.
2/9, 1, 10
Suppose 3*r = 15 - 3. Suppose -4*z + r*j = -4, 7*z - 5*z - 7 = -3*j. Suppose -14*a**2 - 28*a + 36*a**z + 16 - 10*a**2 = 0. Calculate a.
1, 4/3
Let z = -10690 + 10690. Let m(l) be the first derivative of -3*l**3 - 3/5*l**5 + 0*l**2 - 4 + 1/2*l**6 + z*l - 15/4*l**4. Solve m(i) = 0.
-1, 0, 3
Let v(i) = i**3 - 7*i**2 - i + 1. Let d(a) = 5*a**3 - 717*a**2 - 1184*a + 474. Let n(w) = -d(w) + 2*v(w). Find h, given that n(h) = 0.
-2, 1/3, 236
Factor -95 + 50*s - 5/4*s**2.
-5*(s - 38)*(s - 2)/4
Suppose -2*c - 56 = -4*c. Suppose c = 12*d + 4. Find k, given that 20 - 27*k**2 - 34*k**d + 66*k**2 + 20*k = 0.
-2
Let v(w) = 351*w - 347. Let u be v(1). What is a in -44/9*a**2 - 4*a**3 - 14/9*a**u - 2/9*a**5 - 26/9*a - 2/3 = 0?
-3, -1
Factor -380192/17 + 1744/17*j - 2/17*j**2.
-2*(j - 436)**2/17
Let q(w) = -191 + 72 - w**2 + 2*w**2 + 0*w**2 - 27*w. Let u be q(31). Solve -u*y + 0 + 5/2*y**2 = 0 for y.
0, 2
Suppose -v**4 + 0*v + 0 + 922/3*v**2 + 1381/3*v**3 = 0. Calculate v.
-2/3, 0, 461
Factor -2/9*v**3 - 14/9*v**2 - 28/9*v - 16/9.
-2*(v + 1)*(v + 2)*(v + 4)/9
Let d(u) be the third derivative of 5*u**8/672 - 2*u**7/21 + 7*u**6/48 - 2*u**2 + 2241. Factor d(o).
5*o**3*(o - 7)*(o - 1)/2
Factor 125/4*f**2 - 5/4*f**3 - 265/2*f + 150.
-5*(f - 20)*(f - 3)*(f - 2)/4
Let q be (0 + 1)/(3/9). Suppose g + 2*n = 115, -95 = -q*g - n + 250. Determine d so that -31*d - 116 + 36 + g*d**2 - 15*d**3 - 79*d - 90*d = 0.
-1/3, 4
Let q(x) be the second derivative of -x**6/30 + 7*x**4/12 + x**3 - 583*x. Solve q(h) = 0.
-2, -1, 0, 3
Let n(h) = 4*h**3 - 5*h**3 - 2*h**4 - 105*h**2 + h**4 - h + 104*h**2. Let p(m) = 12*m**4 + 4*m**3 + 14*m**2 + 10*m. Let x(l) = -10*n(l) - p(l). Factor x(s).
-2*s**2*(s - 2)*(s - 1)
Find i such that 45*i**2 - 45*i**4 - 84465*i - 3*i**5 + 1 + 84417*i + 51*i**3 - 1 = 0.
-16, -1, 0, 1
Let n(a) = 5 - 67*a - 22*a**2 + 27*a**2 + 3 + 5 + 64*a**2. Let d(s) = s**2 - s - 5. Let m(v) = -3*d(v) - n(v). Factor m(g).
-2*(g - 1)*(36*g + 1)
Let f(l) be the third derivative of l**6/150 + 52*l**5/75 + 418*l**4/15 + 7744*l**3/15 - 856*l**2 - 3*l. Suppose f(c) = 0. What is c?
-22, -8
Let v(t) be the third derivative of -234*t**2 - 9*t**3 + 0 + 7/6*t**5 + 0*t + 1/20*t**6 + 23/4*t**4. Factor v(i).
2*(i + 3)*(i + 9)*(3*i - 1)
Let i(l) = -529*l + 7410. Let p be i(14). Let r(m) be the first derivative of -46 + 9*m + 3*m**3 + 33/4*m**2 + 3/8*m**p. Factor r(a).
3*(a + 1)*(a + 2)*(a + 3)/2
Let x be 18/33*(-38 + (-22542)/(-585))*55/12. Suppose 16/3 - x*j - 2/3*j**2 = 0. Calculate j.
-4, 2
Let z(j) = j**2 + 2168*j - 50389. Let v be z(23). Let 0 + 8648/13*l**2 + 4418/13*l + 4044/13*l**3 + 2/13*l**5 - 184/13*l**v = 0. Calculate l.
-1, 0, 47
Let j(x) be the second derivative of 55*x**7/42 - 12*x**6 + 135*x**5/4 - 45*x**4/2 + 426*x. Factor j(g).
5*g**2*(g - 3)**2*(11*g - 6)
Let q(y) be the first derivative of -y**5/180 + y**4/8 - 4*y**3/9 + 20*y**2 + 66. Let n(m) be the second derivative of q(m). Factor n(v).
-(v - 8)*(v - 1)/3
Suppose -4937*z + 4936*z + 6 = 0. Let v(t) be the first derivative of -25/2*t**4 + 40*t**3 - 48*t**2 - z + 128/5*t. Factor v(g).
-2*(5*g - 4)**3/5
Let v(g) be the second derivative of -1/3*g**6 - 2*g + 1/5*g**5 + 23 + 10/3*g**4 + 0*g**2 - 8*g**3 + 1/21*g**7. Let v(w) = 0. What is w?
-2, 0, 2, 3
Let z(r) be the third derivative of r**5/40 - 29*r**4/16 - 15*r**3/2 + 6*r**2. Factor z(j).
3*(j - 30)*(j + 1)/2
Let y(a) = -a. Let p(r) = 5*r**2 + 255*r + 3125. Let l(f) = p(f) + 5*y(f). Factor l(x).
5*(x + 25)**2
Let w(t) be the third derivative of -242*t**5/285 + 11*t**4/57 - t**3/57 - 2*t**2 + 175. Factor w(c).
-2*(22*c - 1)**2/19
Suppose 6 = -176*m + 177*m. Factor 7*k**4 - 20*k**4 + 15*k**3 + 9*k**3 - 15 + m*k**4 - 54*k**2 + 4*k**4 + 48*k.
-3*(k - 5)*(k - 1)**3
Let t(n) = -n + 1. Let p(i) = -27*i**2 + 33*i**3 + 27*i - 12 + 50*i**2 + 37*i**2. Let m(g) = -p(g) - 6*t(g). Factor m(a).
-3*(a + 1)**2*(11*a - 2)
Let m(d) be the first derivative of d**7/630 + d**6/270 - 18*d**3 + 12. Let i(w) be the third derivative of m(w). Suppose i(j) = 0. Calculate j.
-1, 0
Let r(v) be the third derivative of 0*v + 1/240*v**5 + 2*v**2 + 7/48*v**4 - 4/3*v**3 - 14. Factor r(m).
(m - 2)*(m + 16)/4
Let s = -4363/51 - -17605/204. Let v be 13/12 + (-1)/3. Fac