 - 6)*(p - 1)*(p + 2)
Let h(l) = -2888*l - 8664. Let j be h(-3). Determine n so that 3/2*n**3 + 0*n + 0 - 3/2*n**5 + j*n**2 + 0*n**4 = 0.
-1, 0, 1
Let j be 14/170 - (5/(-34))/((-1057)/28 + 39). Let 0 + 2/5*o**2 + j*o**5 + 4/5*o**4 + 0*o + o**3 = 0. Calculate o.
-2, -1, 0
Let b(n) be the first derivative of 3*n**4/4 - 64*n**3 + 363*n**2/2 + 558*n + 491. Factor b(y).
3*(y - 62)*(y - 3)*(y + 1)
Suppose 101 + 799 - 377*w + 83*w - 2*w**2 = 0. Calculate w.
-150, 3
Let d = 9762 - 49087/5. Let z = d - -283/5. Factor z*x**2 - 8/15*x**3 - 4/5*x + 2/15.
-2*(x - 1)**2*(4*x - 1)/15
Let f(c) be the first derivative of -2*c**3/3 - 15*c**2/2 + 10*c - 54. Let l be f(-8). Suppose -3/5*p**3 + 9/5*p**4 - 3*p**l + 6/5 + 3/5*p = 0. Calculate p.
-1, -2/3, 1
Let y(b) be the first derivative of b**4/22 - 206*b**3/33 + 2128*b**2/11 + 56448*b/11 - 1420. Suppose y(l) = 0. Calculate l.
-9, 56
Let i(b) = -2*b**2 + 1. Suppose 18*t + 0*t = -108. Let j(r) = 2*r**3 - 46*r**2 + 160*r - 122. Let a(o) = t*i(o) + j(o). Find x such that a(x) = 0.
1, 8
Let t be -62*52/(-13152) - (-8)/(-32). Let p = t + 2194/411. Factor 0 - 20/3*o**3 - 32/3*o**2 - 4/3*o**4 - p*o.
-4*o*(o + 1)*(o + 2)**2/3
Let d(m) be the second derivative of -22 + 0*m**2 - 1/3*m**3 + 7/12*m**4 - 2*m. Solve d(i) = 0.
0, 2/7
Suppose 18*j + 6561 = 6597. Let t(y) be the first derivative of 5/24*y**4 + 0*y**j + 5/9*y**3 - 19 + 0*y. Find g, given that t(g) = 0.
-2, 0
Let w(i) be the first derivative of -i**3 + 168*i**2 - 333*i + 1883. Find r such that w(r) = 0.
1, 111
Determine i so that 23*i**3 + 3030*i**2 + 3027*i**2 - 6059*i**2 = 0.
0, 2/23
Let d(l) = -10*l**3 + 358*l**2 + 4*l - 352. Let h(r) = 18*r**3 - 716*r**2 - 7*r + 705. Let y(k) = -11*d(k) - 6*h(k). Factor y(j).
2*(j - 1)*(j + 1)*(j + 179)
Factor 0 - 2*r**3 - 2/3*r**5 + 0*r + 0*r**2 + 8/3*r**4.
-2*r**3*(r - 3)*(r - 1)/3
Factor 88/7 + 2/7*f**3 - 174/7*f + 12*f**2.
2*(f - 1)**2*(f + 44)/7
Let i(x) be the first derivative of 2*x**5/15 - 43*x**4/6 - 104*x**3/9 + 340*x**2/3 + 352*x - 1185. Determine c so that i(c) = 0.
-2, 3, 44
Let z(p) be the third derivative of -1/21*p**3 + 0 + 11/14*p**4 - 115*p**2 + 0*p - 363/70*p**5. What is b in z(b) = 0?
1/33
Let h(n) = 9*n**3 + 210*n**2 - 915*n + 1404. Let j(w) = -w**3 - 12*w**2 + w. Let p(y) = -h(y) - 6*j(y). Factor p(s).
-3*(s - 3)**2*(s + 52)
Let j = 1092/5 - 1086/5. Let i(d) be the first derivative of 11/5*d**3 - 39/10*d**2 - 11 + j*d. Determine z so that i(z) = 0.
2/11, 1
Let w(t) be the third derivative of t**6/30 - 64*t**5/15 + 602*t**4/3 - 4704*t**3 - 32*t**2 - 137*t. Factor w(c).
4*(c - 36)*(c - 14)**2
Let w(x) be the first derivative of -x**6/4 + 57*x**5/20 - 9*x**4/8 - 7*x**3 + 3*x**2 + 27*x/4 - 1192. Suppose w(h) = 0. Calculate h.
-1, -1/2, 1, 9
Solve 4 - 30/17*f + 94/17*f**3 - 138/17*f**2 + 6/17*f**4 = 0 for f.
-17, -2/3, 1
Let u(t) = 9*t - 154. Let h be u(21). Let k be (3/(1 + h))/(25/525). Let -3/4*r + k*r**2 - r**3 + 0 = 0. Calculate r.
0, 3/4, 1
Let p = -656087 - -656090. Let -2/5*j**p - 4/5*j - 16/5 + 2*j**2 = 0. Calculate j.
-1, 2, 4
Let p(m) be the first derivative of -5*m**7/42 + m**6/2 + 9*m**5/4 + 25*m**4/12 - 179*m + 190. Let g(q) be the first derivative of p(q). Factor g(z).
-5*z**2*(z - 5)*(z + 1)**2
Let c(g) = 35*g**2 + 2745*g + 8200. Let u(d) = -5*d**2 - 392*d - 1173. Let l(y) = -3*c(y) - 20*u(y). Factor l(v).
-5*(v + 3)*(v + 76)
Factor 0 + 39*m**3 + 1/2*m**5 - 17/2*m**4 - 70*m**2 + 44*m.
m*(m - 11)*(m - 2)**3/2
Let j = 15768 - 15735. Let n(c) be the second derivative of 4/9*c**3 + 0 - j*c + 0*c**2 - 1/18*c**4. Factor n(r).
-2*r*(r - 4)/3
Suppose 49 = 9*q + 13. Let m be ((-4)/((-32)/12))/(3/q). Factor 5*c**3 + 64*c + 0 - 29*c - 25*c**m + 0 - 15.
5*(c - 3)*(c - 1)**2
Find h, given that -19*h**2 + 80 - 60*h - 3*h**3 + 55*h**2 - 80 = 0.
0, 2, 10
Factor -154 + 22 - 21*f**2 + 13157*f - 13037*f - 3*f**3.
-3*(f - 2)**2*(f + 11)
Suppose -2774/21*a**2 + 2/21*a**3 + 0*a + 0 = 0. What is a?
0, 1387
Let l(s) be the second derivative of -2/3*s**2 - 4*s + 1/90*s**4 + 1/15*s**3 - 7. Factor l(i).
2*(i - 2)*(i + 5)/15
Factor 2/7*w**3 - 114/7 - 82/7*w + 34/7*w**2.
2*(w - 3)*(w + 1)*(w + 19)/7
Let x be (10/(-8))/((-30)/528*77). Factor 2*l**2 + 0 + x*l**4 + 6/7*l + 10/7*l**3.
2*l*(l + 1)**2*(l + 3)/7
Let q(a) be the second derivative of a**7/21 - 8*a**6/15 - 34*a**5/5 + 13*a**4/3 + 179*a**3/3 - 130*a**2 - 9227*a. Solve q(y) = 0 for y.
-5, -2, 1, 13
Suppose 4*q = 3*z - 17, -5*q - 122 = -22*z - 46. Let y(a) be the first derivative of -1/2*a**4 + 9/4*a + 11/6*a**z + 1/20*a**5 - 50 - 3*a**2. Factor y(g).
(g - 3)**2*(g - 1)**2/4
Let b(j) be the second derivative of 13/6*j**3 - 28 + 3*j**2 + 1/20*j**5 + 2/3*j**4 + j. Factor b(p).
(p + 1)**2*(p + 6)
Let h(w) be the third derivative of w**6/3240 + 19*w**3/6 - 60*w**2. Let t(c) be the first derivative of h(c). Factor t(r).
r**2/9
Let i(o) be the first derivative of 3*o**5/50 + o**4 + 31*o**3/5 + 18*o**2 + 216*o - 109. Let d(b) be the first derivative of i(b). Factor d(h).
6*(h + 2)*(h + 3)*(h + 5)/5
Let w(n) be the first derivative of -n**3/27 + 17*n**2/18 - 8*n + 497. Determine t, given that w(t) = 0.
8, 9
Let u(l) = -44*l**4 + 48*l**3 + 64*l**2 - 16*l - 4. Let g = -198 + 197. Let k(b) = 2*b**4 - b**3 + 1. Let t(p) = g*u(p) - 4*k(p). Find j such that t(j) = 0.
-1, 0, 2/9, 2
Suppose -26 = 3*n + 4*i, 5*n + 37 = -4*i - 1. Let u be n/(-10)*(-34)/(-51). Factor -2/5*g**2 - 4/5*g - u.
-2*(g + 1)**2/5
Find q, given that -865*q - 958 + 1926 - 80*q**2 - 803 = 0.
-11, 3/16
Let m(n) = 36*n**2 + 22*n - 4192. Let i(x) = 7*x**2 + 4*x - 839. Let f(r) = 11*i(r) - 2*m(r). Suppose f(k) = 0. Calculate k.
-13, 13
Suppose n = 5*n + 5*o + 52, 4*n + 2*o + 40 = 0. Let b be (n - -11)*(-2)/(-24). Find g, given that 1/8*g**2 + 1/8 - b*g = 0.
1
Let c be 385/700 - (-2)/10. Let h(j) be the first derivative of 0*j**2 + 0*j + c*j**5 + 5/12*j**3 + 15/16*j**4 + 5/24*j**6 + 14. Determine g so that h(g) = 0.
-1, 0
Let a(s) = -4*s**2 - 99*s + 132. Let p be a(-26). Let i(o) be the third derivative of -1/96*o**4 - 7/60*o**5 + 1/12*o**3 + 0 - 8*o**p + 0*o. Factor i(c).
-(4*c - 1)*(7*c + 2)/4
Let m(j) = j**3 - 4*j**2 + j - 2. Let b be m(4). Let v(z) = 6*z**3 + z**2 + 2*z - 1. Let a be v(2). Let -a + 49 + 0*k**2 - b*k**2 + 8*k = 0. Calculate k.
1, 3
Suppose 3*h + 530 - 536 = 0. Let q(y) be the third derivative of 0*y + 1/24*y**4 - 1/12*y**3 + 0 - 1/120*y**5 - 11*y**h. Factor q(z).
-(z - 1)**2/2
Suppose -9 = -3*h, -4*g = -7*g - h + 15. Find b, given that -32 + 16*b**2 - 94*b**4 + 190*b**4 - 98*b**g = 0.
-2, 2
Let a(u) be the third derivative of u**5/45 + 17*u**4/18 + 104*u**3/9 + 508*u**2. Determine x, given that a(x) = 0.
-13, -4
Let -14*a - 96*a**2 + 1952*a**4 - 23*a**3 - 50*a - 1956*a**4 - 19*a**3 + 6*a**3 = 0. Calculate a.
-4, -1, 0
Let l(t) be the third derivative of -t**6/24 - 17*t**5/12 - 20*t**4/3 + 350*t**3/3 - 2537*t**2. Factor l(y).
-5*(y - 2)*(y + 5)*(y + 14)
Factor -5/7*p**2 - 6/7*p + 1/7*p**4 + 2/7*p**3 + 0.
p*(p - 2)*(p + 1)*(p + 3)/7
Let n be ((-105)/(-20) + -5)/((-1)/(-60)). Suppose -611*o**2 - 175*o + 302*o**2 + 304*o**2 - n*o = 0. What is o?
-38, 0
Let m(l) = -8*l**2 - 32*l + 219. Let s be m(11). Let c = -3283/3 - s. Solve 0 - 4/3*r**2 - c*r = 0 for r.
-5, 0
Let z be 28/1 + 26 + -20. Suppose -z*k = 4*v - 38*k + 8, -4*k = -16. Factor -1/2*g**v + 2*g + 5/2.
-(g - 5)*(g + 1)/2
Let v = -140333/5 + 28089. Solve 432/5*c + 248/5*c**3 - 9/5*c**5 + v + 3*c**4 + 552/5*c**2 = 0 for c.
-2, -2/3, 7
Let m = 1039/828 - 208/207. Factor -5/4*h**4 + 3/4 - 3/2*h**3 + 7/4*h - m*h**5 + 1/2*h**2.
-(h - 1)*(h + 1)**3*(h + 3)/4
Let u = 8645 + -8601. Let h(l) be the second derivative of -17/4*l**5 + 20*l**2 - 50*l**3 - u*l + 0 - 55/2*l**4. Determine d so that h(d) = 0.
-2, 2/17
Let k(b) be the first derivative of 92 + 13/4*b**3 + 18*b**2 + 27*b + 3/16*b**4. Find t, given that k(t) = 0.
-6, -1
Determine y so that 2*y**3 - 15989*y - 332588*y + 113387 + 3705*y**2 - 793487*y - 5*y**3 - 1259159 = 0.
-1, 618
Suppose 4*r + t = 21, r + 0*r + 6 = 2*t. Suppose 6 + 24*q**3 - 2*q + 8*q**r + 12*q + 13*q + q**5 + 9*q**2 + 25*q**2 = 0. What is q?
-3, -2, -1
Let t(n) = -16*n**3 + 50*n**2 - 54*n - 10. Let x(m) = -2*m + 5*m**3 + 18*m + 250*m**2 + 2*m + 3 - 267*m**2. Let h(k) = -3*t(k) - 10*x(k). Factor h(c).
-2*c*(c - 9)*(c - 1)
Suppose -