. Determine z, given that q(z) = 0.
-2, 0, 168
Let s(p) = 13*p**2 - 279*p - 4032. Let j(k) = 24*k**2 - 557*k - 8061. Let t(d) = 4*j(d) - 7*s(d). Suppose t(i) = 0. Calculate i.
-12, 67
Let z(a) = -a**2 - 13*a + 4. Suppose -4*x + 3*x - 12 = 0. Let c be z(x). Solve -18 + c*f**2 - 11*f - f + 26 - 4*f**3 - 8*f = 0 for f.
1, 2
Let w(c) = -260*c + 5734. Let g be w(22). Let h(q) be the third derivative of 1/120*q**5 - g*q**2 + 0*q**3 + 0 + 5/48*q**4 + 0*q. Factor h(j).
j*(j + 5)/2
Let v(n) be the third derivative of n**7/140 - n**6/80 - n**5/40 + n**4/16 + 843*n**2. Let v(l) = 0. Calculate l.
-1, 0, 1
Let b = 7491 + -52429/7. Let l(y) be the first derivative of -2 - 6/7*y**2 + b*y + 4/21*y**3. Suppose l(z) = 0. Calculate z.
1, 2
Let u = 70 + -64. Determine p so that u*p**2 + 2*p**5 + p**5 - 3*p**4 + 9*p**2 - 6*p - 9*p**3 = 0.
-2, 0, 1
Let l(b) be the second derivative of 2*b**7/189 + 52*b**6/15 + 233*b**5/45 + 5684*b. Suppose l(j) = 0. What is j?
-233, -1, 0
Suppose -2*p - 8 = 3*o, 562*o + 8 = 560*o. Let i(q) be the second derivative of 5/6*q**4 + 0 - 32*q + 0*q**p - 1/4*q**5 + 0*q**3. Factor i(z).
-5*z**2*(z - 2)
Suppose 18*b - 2*r + 34 = 34*b, -2 = -3*b + 4*r. Let d(f) be the first derivative of -2/27*f**3 - 8/9*f**b - 8/3*f + 43. Factor d(l).
-2*(l + 2)*(l + 6)/9
Let d(c) be the first derivative of 4*c**3/3 + 1060*c**2 + 280900*c - 1854. Factor d(r).
4*(r + 265)**2
Let u(x) be the first derivative of 4*x**3/9 + 16660*x**2/3 + 69388900*x/3 + 4597. Factor u(a).
4*(a + 4165)**2/3
Let o(m) = m**2 - 9*m + 16. Let v be o(7). Factor -s - 3*s**v + 10 + 6 + 7*s**2 - 15*s.
4*(s - 2)**2
Let c be 6/(-7)*63/(-5 - -2). Suppose 4*x - c = 170. Factor 18*q**2 - 180 + 13*q + x*q - 23*q**2.
-5*(q - 6)**2
Suppose k + 46 = -4*v - 10, -v + 3*k = 1. Let y(n) = -58*n - 752. Let c be y(v). Factor 4/3 + 10/3*d - 2*d**c.
-2*(d - 2)*(3*d + 1)/3
Let w = 19366 - 19364. Determine u, given that 0 + 1/7*u**w + 4/7*u = 0.
-4, 0
Let b(n) = -52*n - 680. Let l be b(-16). Suppose l*w = 140*w + 36. Let -29/2*q + 39/2*q**2 + 2 - 8*q**4 + 28*q**w = 0. Calculate q.
-1, 1/4, 4
Let l(w) be the third derivative of w**8/336 + 4*w**7/105 - 5*w**6/12 - w**5/5 + 51*w**4/8 + 18*w**3 + 10*w**2 + 22*w. Let l(o) = 0. What is o?
-12, -1, 3
Let d(p) be the second derivative of -p**4/12 - 473*p**3 - 2013561*p**2/2 + 2481*p. Suppose d(q) = 0. What is q?
-1419
Factor 772*x + 6736 - 5*x**2 - 4720 + 878*x + 6359.
-5*(x - 335)*(x + 5)
Suppose 3*d**4 - 2076*d + 1556*d + 196*d**2 + 40*d**3 - 7*d**4 + 0*d**4 = 0. Calculate d.
-5, 0, 2, 13
Let h(r) be the second derivative of 0 + 1/120*r**6 - 60*r + 11/80*r**5 + 0*r**2 + 1/2*r**4 - 3/2*r**3. Factor h(o).
o*(o - 1)*(o + 6)**2/4
Let q(a) be the first derivative of -a**3/3 + 5*a**2 + 24*a - 260. Factor q(v).
-(v - 12)*(v + 2)
Let b(d) = 24*d**2 - 14*d + 6. Let w(x) be the third derivative of x**5/30 - x**4/12 - 75*x**2. Let n(p) = -2*b(p) + 22*w(p). What is k in n(k) = 0?
-3, -1
Suppose -12*m - 61*m = 18*m - 1183. Let g(y) be the second derivative of 0*y**6 + 0*y**4 + 0*y**3 + 0*y**5 + 1/105*y**7 - m*y + 0*y**2 + 0. Factor g(c).
2*c**5/5
Let q(m) be the third derivative of 0 - m**2 + 13*m**3 + 63/8*m**4 + 0*m - 24/5*m**5 + 7/40*m**6. Factor q(a).
3*(a - 13)*(a - 1)*(7*a + 2)
Let q(t) = -25*t**2 - 20*t + 5. Let k(w) = -1 - 72*w**2 + 29*w**2 + 3*w + 22*w**2 - 2*w + 23*w**2. Let p(u) = -10*k(u) - q(u). Factor p(d).
5*(d + 1)**2
Let u(i) be the third derivative of 0*i**3 + 17*i**2 - 11/45*i**5 - 2*i + 0*i**4 - 1/90*i**6 + 0. Let u(f) = 0. Calculate f.
-11, 0
Suppose 0 = 59433*i - 59483*i + 200. Factor -11/3*c**2 + i*c - 1/3.
-(c - 1)*(11*c - 1)/3
Factor 1812 + 1669 + 72*i**2 - 3481 + 36*i**3 + 4*i**4.
4*i**2*(i + 3)*(i + 6)
Let 23*w**5 - 22*w**5 + 43*w**2 + 133*w**2 - 22*w**3 + 3*w**4 - 50*w**3 = 0. What is w?
-11, 0, 4
Factor 144*p**3 + 1024/3*p - 50/3*p**4 - 1408/3*p**2 + 0 + 2/3*p**5.
2*p*(p - 8)**3*(p - 1)/3
Let t(g) be the second derivative of 84*g + 2/39*g**4 + 0*g**3 + 0*g**5 + 0 - 1/195*g**6 + 0*g**2. Determine h, given that t(h) = 0.
-2, 0, 2
Let v(l) = -14*l**3 + 15*l**2 + 3*l. Let h(d) = 13*d**3 - 15*d**2 - 3*d. Let n be 1/(((-4)/(-40))/((-12)/(-30))). Let f(j) = n*h(j) + 5*v(j). Factor f(t).
-3*t*(t - 1)*(6*t + 1)
Let m be (-124)/(-20) + (-1)/5. Let y = m - -3. Factor y - 16 - 8 - 10*a + 5*a**2.
5*(a - 3)*(a + 1)
Let v(r) be the third derivative of -r**5/210 - r**4/4 - 20*r**3/21 + 3*r**2 - 162. Factor v(a).
-2*(a + 1)*(a + 20)/7
Suppose 9*m = 25*m - 512. Determine a so that -13 - 24 - m*a - 4*a**2 - 33 + 10 = 0.
-5, -3
Let w(l) be the third derivative of l**6/60 + 33*l**5/10 + 1089*l**4/4 + 11979*l**3 + 273*l**2. Let w(h) = 0. Calculate h.
-33
Let k be (-3)/1 - (-24)/(5 - -1). Find i, given that -2 + 4110*i - 18252*i**2 - k - 3642*i = 0.
1/78
Let y(q) be the first derivative of q**3/12 - 99*q**2/4 + 9801*q/4 + 2207. Factor y(l).
(l - 99)**2/4
Let t be (-33)/(-22)*200/(-12). Let b = -23 - t. Let 0 - 8/3*d**b - 2/3*d - 4*d**3 - 8/3*d**4 - 2/3*d**5 = 0. Calculate d.
-1, 0
Let k = 1130 + -12427/11. Let w(c) be the first derivative of 16 + 8/33*c**3 + k*c**4 + 1/11*c**2 + 8/55*c**5 + 1/33*c**6 + 0*c. What is h in w(h) = 0?
-1, 0
Let g(w) = 5*w**3 + 295*w**2 + 2730*w - 52018. Let r(b) = 15*b**3 + 885*b**2 + 8195*b - 156053. Let f(p) = -7*g(p) + 2*r(p). What is i in f(i) = 0?
-34, 9
Suppose -13*n - 248 = 9*n - 336. Let s(u) be the third derivative of 0 + 1/90*u**5 + 1/36*u**n + 14*u**2 + 0*u - 2/3*u**3. Factor s(y).
2*(y - 2)*(y + 3)/3
Let q(y) be the second derivative of -y**4/48 - y**3/3 + 45*y**2/2 + 902*y. Find p such that q(p) = 0.
-18, 10
Let g(q) be the third derivative of -q**7/210 + 1631*q**6/120 + 5*q**2 - 77*q. Determine u so that g(u) = 0.
0, 1631
Let s(d) be the first derivative of -14*d**2 - 128 + 12*d - 40/3*d**3. Factor s(u).
-4*(u + 1)*(10*u - 3)
Let h = 538 + 27. Factor 15438*p + 4*p**3 + 231365 + 4734*p + 44319 + h*p**2 - 73*p**2.
4*(p + 41)**3
Let r(a) be the third derivative of 5/16*a**4 - 1/3*a**3 + 0*a**7 + 1/24*a**6 - 185*a**2 - 1/6*a**5 - 1/672*a**8 - a + 0. Factor r(d).
-(d - 1)**4*(d + 4)/2
Let h(m) be the first derivative of -m**5/5 - 333*m**4/4 - 12321*m**3 - 1367631*m**2/2 + 317. Factor h(k).
-k*(k + 111)**3
Let z(y) be the first derivative of y**3/6 - 89*y**2/4 - 353. Factor z(m).
m*(m - 89)/2
Let y(v) = v**3 + 8*v**2 + 5*v + 4. Let d be y(-4). Suppose 76*u - 40 = 71*u. Find k such that 75*k**2 + d*k + 3*k**5 + 21*k**4 + 52*k**3 + 5*k**3 + u + 4 = 0.
-2, -1
Let k(w) = -7*w - 2. Suppose 0*b + 3*b = -6. Let x be k(b). Factor x*m + 0*m**2 - 1 - 22 - 2*m**2 + 5.
-2*(m - 3)**2
Let i(d) be the second derivative of d**4/3 - 3350*d**3/3 + 3348*d**2 + 5402*d. Determine o, given that i(o) = 0.
1, 1674
Suppose -4*l - 5*a + 15 + 18 = 0, -3*l + 31 = 5*a. Suppose 4*i - 4 = 8. Factor 11*h - i*h**2 - 15*h - 2*h**l + 0*h**2 + 1.
-(h + 1)*(5*h - 1)
Let z be (1 + -2)/(2*3/(-60)). Suppose i + 0*i = -5*q + z, i = q - 8. Solve q*h**3 - 16 - 3 + 7 - 21*h - 6*h**2 = 0 for h.
-1, 4
Let j(c) = 2*c - 13. Let p be j(3). Let x be 4/(5 + (p - -3)). Determine r so that -5*r**3 + 25*r - 6*r**4 + 15*r**2 - 4*r**x + 5*r**4 + 10 = 0.
-1, 2
Let u be 7/(-21)*-4*(-15)/(-4). Solve 947 + 70*t**u - 25*t**4 - 580*t**3 + 320*t + 55*t**5 - 867 + 80*t**2 = 0.
-2, -2/5, 1, 2
Let o(i) be the third derivative of -5*i**8/336 - 101*i**7/42 + 103*i**6/8 - 311*i**5/12 + 65*i**4/3 + 2*i**2 - 30. Factor o(y).
-5*y*(y - 1)**3*(y + 104)
Let p(y) be the first derivative of y**9/3024 - y**8/840 - y**7/280 + 22*y**3 + 26. Let i(z) be the third derivative of p(z). Factor i(w).
w**3*(w - 3)*(w + 1)
Find x such that -622*x**2 - 3520 + 319*x**2 + 305*x**2 + 3518*x = 0.
-1760, 1
Suppose -84 - 46 = 5*z. Let p be 4*(4 + z/8). Find r such that -6*r**3 + r + 2 - 2*r**p - 2*r**2 + 7*r**3 = 0.
-2, -1, 1
Let c(h) be the first derivative of -h**7/630 + h**5/90 - h**3/18 + 211*h**2/2 - 181. Let l(p) be the second derivative of c(p). Factor l(g).
-(g - 1)**2*(g + 1)**2/3
Let a = 1488049/5 + -297609. Factor 6 - 2/5*q**2 - a*q.
-2*(q - 3)*(q + 5)/5
Suppose 282*d - 353 - 362 = -78 + 491. Factor -3/2*h**3 + 3/2*h - 9/4 + 2*h**2 + 1/4*h**d.
(h - 3)**2*(h - 1)*(h + 1)/4
Factor -14*u**2 + 0 - 19/2*u**3 - u**4 + 1/2*u**5 - 6*u.
u*(u - 6)*(u + 1)**2*(u + 2)/2
Let h(z) be the second derivative of -1/10*z**2 - 