-1, 0, 2/3, 2
Let z(k) be the second derivative of -k**5/20 + 137*k**4/12 - 268*k**3/3 + 266*k**2 + k + 1740. Factor z(d).
-(d - 133)*(d - 2)**2
Suppose 4*b + 2*i = 12, -9*i = -4*b - 7*i + 12. Let -1846*p**3 - 1840*p**b + 15*p + 3683*p**3 + 6*p**2 - 18 = 0. Calculate p.
-2, 1, 3
Let j be (-1590)/(-666) + (-1)/(259/14). What is i in 4/3 + 16/3*i + j*i**2 = 0?
-2, -2/7
Let n be (165/(-60))/((-13)/(-52) + (25/(-6))/5). Factor -n*t - 3/7*t**3 + 15/7 + 3*t**2.
-3*(t - 5)*(t - 1)**2/7
Let w(c) be the second derivative of -c**5/330 + c**4/11 + 71*c**2/2 + 39*c. Let z(d) be the first derivative of w(d). Determine i so that z(i) = 0.
0, 12
Solve 15*f**3 + 26*f**4 + 86*f + 23 + 1 - 7*f**5 - 16*f - f - 110*f**2 - 17*f = 0 for f.
-2, -2/7, 1, 2, 3
Let h(c) be the third derivative of 3*c**8/560 + 2*c**7/105 - c**6/90 + 83*c**3/2 + 153*c**2 + 1. Let i(x) be the first derivative of h(x). Factor i(s).
s**2*(s + 2)*(9*s - 2)
Let v(h) be the second derivative of -5*h**7/84 + 59*h**6/12 - 423*h**5/4 + 1935*h**4/2 - 3690*h**3 + 163*h - 11. Determine s so that v(s) = 0.
0, 6, 41
Let s(t) be the first derivative of -40 + 1/54*t**4 - 2/3*t**3 + 9*t**2 + 43*t. Let r(w) be the first derivative of s(w). Factor r(n).
2*(n - 9)**2/9
Factor 45 + 3/2*h**3 - 3/2*h - 45*h**2.
3*(h - 30)*(h - 1)*(h + 1)/2
Determine l so that -4*l + 44/3*l**2 + 0 = 0.
0, 3/11
Let p(s) be the second derivative of 1/6*s**4 - 12*s**2 - 4*s - 11/3*s**3 + 1. Solve p(j) = 0.
-1, 12
Let o be (91/5 - 20)/(0 - (-6)/(-10)). Let t(m) be the first derivative of 25/3*m**o - 20*m + 18 - 15/4*m**4 + 15/2*m**2 - m**5. Factor t(r).
-5*(r - 1)**2*(r + 1)*(r + 4)
Let t(h) be the first derivative of -9*h**6/10 - 9*h**5/5 + 129*h**4/10 - 12*h**3/5 - 108*h**2/5 + 96*h/5 - 2459. Find l such that t(l) = 0.
-4, -1, 2/3, 2
Let i(o) be the first derivative of o**3 + o**2/2 - o + 66. Let x(k) = 13*k**2 - 2*k + 5. Let c(y) = -12*i(y) + 3*x(y). Factor c(u).
3*(u - 3)**2
Let v be (-3)/3 - -2 - -1. Let t be 7/(-1) + 5 + 12. Factor 0*z**3 - 3 + z**3 + 9*z - t*z**2 + 2*z**3 + z**v.
3*(z - 1)**3
Suppose -19 = 47*m + 28. Let l be m + -2 + 4 + (-36)/(-84). Factor 2/7*g**3 - 2/7*g**2 - l*g - 6/7.
2*(g - 3)*(g + 1)**2/7
Let u be (3/(-4))/(9/(-36)). Factor -j + 17*j + 4*j**2 + 747*j**u + 2*j**4 - 379*j**3 - 378*j**3.
2*j*(j - 4)*(j - 2)*(j + 1)
Let b = 5/872 + -31933/18312. Let n = -15/14 - b. Factor -n*c**2 + 0*c + 2/3.
-2*(c - 1)*(c + 1)/3
Suppose -w - 10 = -3*z, -17 + 7 = -4*z + 2*w. Let -18*q - 40*q - 29*q + z*q**2 + 32*q = 0. What is q?
0, 11
Let y be (1/(4/(-226)))/(18/(-36)). Let s = y - 110. Factor 15*r + 6 + s - 5*r**2 - 9.
-5*r*(r - 3)
Let l(s) be the third derivative of 33*s**2 - 11/6*s**4 + 0 - 1/15*s**5 + 0*s - 12*s**3. Factor l(r).
-4*(r + 2)*(r + 9)
Let y(g) be the first derivative of -5*g**4/4 - 385*g**3/3 - 4900*g**2 - 82320*g + 7449. Factor y(x).
-5*(x + 21)*(x + 28)**2
Suppose 15*m + 164 = 224. Suppose 4*h - 3*c - 8 = 1, m*h - 2*c = 10. Solve 3/2*a**3 + 0 - h*a**2 + 3/2*a = 0 for a.
0, 1
Let i(g) be the third derivative of g**5/15 + 49*g**4/6 - 68*g**3 - 315*g**2. Factor i(a).
4*(a - 2)*(a + 51)
Suppose -2*l - 2 = 2*l - 2*t, 2 = 2*t. Suppose 22 = j + 4*w, -2*w - 3*w + 25 = l. Find q, given that 6/13*q**3 + j*q**2 + 6/13 + 2*q = 0.
-3, -1, -1/3
Let v(y) be the second derivative of 85*y**4/72 - 55*y**3/36 - 5*y**2/2 - 600*y. Let v(c) = 0. What is c?
-6/17, 1
Let k = -590720 - -2953634/5. Factor 6/5*h**3 + 2/5*h**4 - k*h**2 - 78/5*h - 8.
2*(h - 4)*(h + 1)**2*(h + 5)/5
Let x(s) be the second derivative of 19 + 1/25*s**5 + 3*s + 0*s**2 - 1/75*s**6 - 2/15*s**3 + 1/30*s**4. Let x(l) = 0. Calculate l.
-1, 0, 1, 2
Let m(a) be the second derivative of -3/140*a**5 + 0 - 1/28*a**4 + 75/14*a**2 + 25/14*a**3 - 7*a. Determine l, given that m(l) = 0.
-5, -1, 5
Let k(d) = 2*d**2 + 41*d - 17. Let u be k(-21). Determine m so that 2*m**2 + 43*m - 2*m**2 + u*m**2 + 60 + 21*m = 0.
-15, -1
Suppose 0 = -3*t + 789 - 747. Let l be 24/t*(-9)/(-12). Factor l*s**3 - 6/7 - 15/7*s + 12/7*s**2.
3*(s - 1)*(s + 2)*(3*s + 1)/7
Let m = -25/12 - -349/156. Let a be -1 - -3 - 8 - (22536/(-468) - -42). Suppose 4/13*t - m*t**2 - a = 0. What is t?
1
Let r(w) be the second derivative of 7/30*w**4 - 4/15*w**3 - w - 3/5*w**2 - 41. Factor r(j).
2*(j - 1)*(7*j + 3)/5
Suppose -5 = -r + z, -3*z = -4*r + 24 - 3. Factor -12*b + 87*b**4 - 58*b**3 - 15*b**2 - 41*b**2 - r*b**2 - 95*b**4.
-2*b*(b + 1)*(b + 6)*(4*b + 1)
Let t(p) = -26*p - 50. Let b be t(-3). Suppose -l = -4*f + 20, -8 + b = -5*l. Factor 0*d + 2/11*d**f - 2/11*d**3 + 0*d**2 + 4/11*d**5 + 0.
2*d**3*(d + 1)*(2*d - 1)/11
What is n in 19*n**2 - n**4 + 260*n**2 - 56*n**2 + 3*n**4 - 84*n**3 + 641*n**2 = 0?
0, 18, 24
Factor 205/2*b - 105 + 5/2*b**2.
5*(b - 1)*(b + 42)/2
Let b be -1 + (-15)/(-5) + -1 + -4. Let j be (-2 + b)*(-34)/765. Factor 2/9*n + 0 - j*n**3 + 0*n**2.
-2*n*(n - 1)*(n + 1)/9
Factor -2*h**5 + 62559126*h**2 - 656964*h**3 - 295833384*h + 2796*h**4 - 9411570*h**2 - 2*h**5.
-4*h*(h - 231)**3*(h - 6)
Let v(i) be the third derivative of -5/6*i**4 + 0*i - 62*i**2 + 0 - 2/21*i**7 + 0*i**3 + 13/24*i**6 + 13/12*i**5. Factor v(b).
-5*b*(b - 4)*(b + 1)*(4*b - 1)
Let j(l) = -l**3 + 32*l**2 - 27*l - 83. Let b be j(31). Let -46*o**4 - 24*o - 4*o**2 + b*o**3 - 48*o**4 - 17*o**3 + 98*o**4 = 0. Calculate o.
-6, -1, 0, 1
Let m(a) be the second derivative of -a**4/4 - 9*a**3/2 + 15*a**2 + 901*a. Factor m(x).
-3*(x - 1)*(x + 10)
Let l be (501/2171)/((-2)/(-26)). Let q(k) be the first derivative of -6 + k**4 - 1/6*k**6 + 1/5*k**5 + 0*k - 4/3*k**l + 0*k**2. Solve q(b) = 0 for b.
-2, 0, 1, 2
Let t be 9 - (2 + -12 + 5). Suppose -14 - 26*u - 26 + t*u**2 + 77 - 25 = 0. What is u?
6/7, 1
Let p = -426 - -428. Factor 16 + 5*t - 22*t**3 + 41*t**3 + t - t**2 - 18*t**3 - 8*t**p.
(t - 8)*(t - 2)*(t + 1)
Let q = 119 + -117. Solve -16 - 3*o - 92*o**4 - 194*o**4 + 218*o**2 + 34*o**q + 226*o**3 - 168*o**5 - 5*o = 0.
-2, -2/3, -2/7, 1/4, 1
Let u(x) be the second derivative of x**6/80 - 93*x**5/80 + 285*x**4/32 - 1748*x. Find w, given that u(w) = 0.
0, 5, 57
Let h = -2151 - -86043/40. Let p(v) be the first derivative of h*v**5 + 0*v + 1/8*v**3 - 3/16*v**4 + 0*v**2 - 3. Factor p(j).
3*j**2*(j - 1)**2/8
Suppose -9*d + 179 = -73. Let r be (5/2)/(7/d - -1). Suppose 8/5*w + 4/5*w**r + 0 = 0. Calculate w.
-2, 0
Let t(o) be the third derivative of o**7/525 + o**6/150 - 59*o**5/150 - 26*o**4/5 - 144*o**3/5 - 7*o**2 - 11*o + 24. Let t(a) = 0. What is a?
-4, -3, 9
Let u(d) be the second derivative of d**6/255 - 19*d**5/170 + 33*d**4/34 - 27*d**3/17 - 5*d + 713. Find k, given that u(k) = 0.
0, 1, 9
Let y = -54 - -87. Let p = y - 129/4. Suppose 3/2*h**2 + 3/4*h**5 - 3/2*h**4 + 0 + 0*h**3 - p*h = 0. What is h?
-1, 0, 1
Let x = -1/30705 + 40943/92115. Factor 0 - 2/9*w**2 + x*w.
-2*w*(w - 2)/9
Let t(h) = 12*h**2 - 98*h - 265. Let w(n) = -108*n**2 + 884*n + 2380. Let j(p) = 28*t(p) + 3*w(p). What is l in j(l) = 0?
-7/3, 10
Suppose -10*s - 50 = -20*s. Let w(a) = -21*a**3 + 2*a + 1. Let k be w(-1). Let 131*l - l**5 + 15*l**2 - k*l**s + 27*l**3 - 15*l**4 - 137*l = 0. What is l?
-1, 0, 2/7, 1
Determine l so that -18*l**4 + 3190/9*l**2 + 352/9 - 164*l**3 - 1904/9*l = 0.
-11, 4/9, 1
Factor -10/7*y**3 + 1/7*y**4 - 23/7*y**2 + 0 - 12/7*y.
y*(y - 12)*(y + 1)**2/7
Let t(z) be the third derivative of z**7/560 - 111*z**6/80 - 891*z**5/160 - 223*z**4/32 - 2*z**2 + 963. Factor t(o).
3*o*(o - 446)*(o + 1)**2/8
Solve -192*z**2 - 539*z - 39*z**3 - 2*z**5 + 5*z**5 + 946*z - 551*z + 12*z**4 = 0 for z.
-4, -3, -1, 0, 4
Suppose -3*d = -45 + 9. Let k be (3/2)/(-6*(-1)/12). Factor -f**k + 4*f**4 + d*f - 8*f**3 - 3*f**3 + 4*f.
4*f*(f - 2)**2*(f + 1)
Let o = 11527 + -11524. Let r(l) be the third derivative of -o*l**2 + 0*l + 0*l**3 + 0*l**4 - 1/945*l**7 + 0 + 0*l**6 + 1/270*l**5. Let r(g) = 0. Calculate g.
-1, 0, 1
Let m(h) be the second derivative of h**5/40 + 19*h**4/24 + 15*h**3/2 + 18*h**2 - 2*h + 53. Factor m(u).
(u + 1)*(u + 6)*(u + 12)/2
Let b(x) be the second derivative of -27*x - 1/6*x**4 + 4*x**2 + 2 - 4/3*x**3 + 1/10*x**5. Factor b(a).
2*(a - 2)*(a - 1)*(a + 2)
Let w(h) be the second derivative of -1/40*h**5 + 26*h + 35/24*h**4 - 24*h**3 - 81*h**2 + 3. Factor w(r).
-(r - 18)**2*(r + 1)/2
Let d(z) be the first derivative of z**6/1800 + z**5/75 + z**4/10 - 32*