(d). Suppose m(l) = 0. What is l?
-1, 7
Let z(b) = -14*b**2 - 2171*b - 587531. Let g(l) = 74*l**2 + 10856*l + 2937656. Let m(j) = 3*g(j) + 16*z(j). What is w in m(w) = 0?
-542
Let o = 185542/3 + -61614. Factor -o*u**2 + 352/3*u + 196/3*u**3 - 16.
4*(u - 3)*(7*u - 2)**2/3
Let a(m) be the third derivative of m**6/960 + m**5/12 - 23*m**4/12 + 16*m**3 + 6*m**2 - 12*m. Factor a(n).
(n - 4)**2*(n + 48)/8
Let g be 15 - (63/3 - 13). Let r(u) be the first derivative of -15/8*u**4 + 0*u + 4*u**3 + 3*u**2 - g. Find p such that r(p) = 0.
-2/5, 0, 2
Factor 102 - 1/4*i**2 + 43/4*i.
-(i - 51)*(i + 8)/4
Let p(j) be the second derivative of j**4/72 - 419*j**3/36 + 6*j + 33. What is k in p(k) = 0?
0, 419
Let o(t) be the first derivative of 5*t**4/4 + 275*t**3 + 1297. Let o(c) = 0. What is c?
-165, 0
Factor 4082/7*x**2 - 29520/7*x - 164/7*x**3 + 2/7*x**4 + 64800/7.
2*(x - 36)**2*(x - 5)**2/7
Let c(w) be the second derivative of -107 - 5*w**2 - 2*w - 7/18*w**3 + 1/36*w**4. Factor c(u).
(u - 10)*(u + 3)/3
Let m = 1543 + -1703. Let d be ((-24)/210*m)/1. Factor 2/7*r**2 - 32/7*r + d.
2*(r - 8)**2/7
Let x(a) = -a**2 + 61*a + 198. Let n(z) = -2*z**2 + 123*z + 368. Let d(j) = 6*n(j) - 13*x(j). Factor d(h).
(h - 61)*(h + 6)
Let r(n) = 8*n**3 - 122*n**2 - 8*n + 137. Let d(s) = 14*s**3 - 246*s**2 - 14*s + 271. Let a(h) = -3*d(h) + 5*r(h). Let a(i) = 0. What is i?
-1, 1, 64
Let x(g) be the second derivative of -1/126*g**4 + 220*g + 0 - 14/9*g**3 - 343/3*g**2. Find y, given that x(y) = 0.
-49
Let x(p) be the first derivative of -3*p**2 - 179 + 3/5*p**5 - 3*p**4 + 0*p + 5*p**3. Find b such that x(b) = 0.
0, 1, 2
Let y = 107 - 105. Let c be y*(-6)/(-120)*4. Factor -3/5*l**2 + 1/5*l**3 - l + 1/5*l**4 - c.
(l - 2)*(l + 1)**3/5
Suppose -4*g + 0 = -8. Suppose -9*p + 9 = -9. Factor p*f**g - f**2 + 5*f + 0*f**2 - 4*f.
f*(f + 1)
Let h(o) be the first derivative of 27*o**5/40 - 63*o**4/8 - 59*o**3/8 - 15*o**2/8 - 2950. Solve h(k) = 0 for k.
-1/3, 0, 10
Let l(z) be the third derivative of z**6/360 - 5*z**5/36 + 47*z**4/72 - 23*z**3/18 + 1369*z**2. Factor l(t).
(t - 23)*(t - 1)**2/3
Let l(w) = w**2 - 7*w - 8. Let v(d) = -2*d**2 - 10*d + 23. Let c be v(-7). Let q(i) = -i**2 + 8*i + 9. Let u(s) = c*q(s) - 6*l(s). Factor u(a).
-(a - 3)*(a + 1)
Let g = -6187/65 - -6247/65. Determine d, given that 4/13*d**2 - 2/13*d**5 - g*d**3 - 10/13*d**4 + 6/13 + 14/13*d = 0.
-3, -1, 1
Suppose -30*v**3 + 390 + 21*v**3 + 2*v**4 + 205*v**2 - 685*v + 94*v**3 + 3*v**4 + 0*v**4 = 0. Calculate v.
-13, -6, 1
Let p(x) be the third derivative of -x**6/480 + 29*x**5/80 - 1646*x**2. Suppose p(v) = 0. Calculate v.
0, 87
Let w(m) be the third derivative of -m**8/1440 - m**7/1260 + m**6/270 + 19*m**4/8 + 6*m**2 + m. Let p(t) be the second derivative of w(t). Solve p(n) = 0.
-1, 0, 4/7
Factor -29*j + 0 - 1/2*j**2.
-j*(j + 58)/2
Let l(y) = 291*y + 2330. Let f be l(-8). Let v(i) be the first derivative of -i**3 + 0*i - 3/2*i**f + 4. Suppose v(d) = 0. What is d?
-1, 0
Let s(r) = 7*r**3 - 154*r**2 + 440*r - 299. Let l(o) = 46*o**3 - 1074*o**2 + 3080*o - 2092. Let z(d) = -3*l(d) + 20*s(d). Factor z(x).
2*(x - 2)*(x - 1)*(x + 74)
Let s(o) = o**4 - 2*o**3 + o**2 - 8. Let v(l) = -2*l**5 + 13*l**4 - 10*l**3 - 15*l**2 + 2*l - 28. Let c(u) = 5*s(u) - v(u). Determine i, given that c(i) = 0.
-1, 1, 2, 3
Let s(g) be the second derivative of -g**4/3 + 36*g**3 - 1458*g**2 - 145*g + 1. What is q in s(q) = 0?
27
Let c(u) = -5*u**2 - u - 3. Let z(m) = -9*m**2 - 3*m - 5. Let y = -86 - -89. Suppose 4*b = 5*b - y. Let t(p) = b*z(p) - 5*c(p). Factor t(l).
-2*l*(l + 2)
Let c(b) be the second derivative of -3*b**5/20 - 97*b**4/4 - 191*b**3/2 - 285*b**2/2 + 5*b + 111. Suppose c(l) = 0. Calculate l.
-95, -1
Let -110 - 37 - 685*y**2 + 688*y**2 = 0. Calculate y.
-7, 7
Let q(x) be the first derivative of -5/24*x**4 - 254 - 95/6*x - 35/6*x**3 - 65/4*x**2. Factor q(h).
-5*(h + 1)**2*(h + 19)/6
Let h(r) be the third derivative of 0*r - 4/27*r**4 + 16/27*r**3 + 0 - 1/945*r**7 + 0*r**5 - 4*r**2 + 1/135*r**6. Suppose h(f) = 0. Calculate f.
-2, 2
Let s = 3876 + -3876. Let v(b) be the second derivative of -1/12*b**4 + 0*b**2 + 10*b + 1/30*b**6 + s + 1/20*b**5 - 1/6*b**3. Find t, given that v(t) = 0.
-1, 0, 1
Let t(j) = -j**2 + 7*j - 19. Let n be t(3). Let a be 0 - n/(-35)*-17. Factor -3/5 - a*g**2 + 4/5*g**3 + 16/5*g.
(g - 3)*(g - 1)*(4*g - 1)/5
Factor -143/5*q**2 + 0 - 1/5*q**4 - 196/5*q + 52/5*q**3.
-q*(q - 49)*(q - 4)*(q + 1)/5
Solve a**4 - 810*a**2 - 2*a**4 - 914*a**2 + 168*a**3 - 3*a**4 + 1560*a**2 = 0.
0, 1, 41
Let u = -464508 + 464510. Suppose 6/7 - 16/21*a**3 - 16/7*a + 2/21*a**4 + 44/21*a**u = 0. Calculate a.
1, 3
Suppose 36 = -5*v + 9*v. Let h = -3 + v. Let n(u) = 3*u**4 + 6*u**3 - 9*u**2 + 6. Let t(x) = -x**2 + x + 1. Let r(y) = h*t(y) - n(y). Factor r(b).
-3*b*(b - 1)*(b + 1)*(b + 2)
Let o = 596 + -600. Let l be (-4)/(-12) - o/(-12). Factor l - 1/2*x**2 + 1/2*x.
-x*(x - 1)/2
Factor -188/13 - 58*j - 8/13*j**2.
-2*(j + 94)*(4*j + 1)/13
Let s(k) = -k**2 - 13*k + 4. Let d be s(-13). Determine r so that -60 + 39*r**2 + 6*r**2 + 154*r - 75*r - 5*r**d - 99*r = 0.
-3, -1, 2
Let g(f) = 8*f**3 + 8*f**2 - 10*f + 10. Let l(i) = -3*i + 2*i**2 + i**3 + 1 - 4*i - i**2 + 6*i. Let o(v) = g(v) - 10*l(v). Factor o(t).
-2*t**2*(t + 1)
Let a be (1 + 3)*((-179)/(-4475))/((-30)/(-125)). Determine x so that a*x**4 - 8/3*x**2 - 4/3*x + 4/3*x**3 + 2 = 0.
-3, -1, 1
Let n = -50 + 165. Let t be (7 - (6 + 4))/((-3)/92). Factor -4*g**3 - n*g - 5*g - 20*g**3 - t*g**2 - 50 - 2*g**4.
-2*(g + 1)**2*(g + 5)**2
Let p(a) be the second derivative of 2/3*a**4 + 0 + 2*a**2 - 5/3*a**3 - 24*a - 1/10*a**5. Solve p(l) = 0 for l.
1, 2
What is d in -127*d**2 + 69*d - 12*d**4 + 7*d**4 - 31 + 4*d**4 + 11*d**3 + 84*d**2 - 5 = 0?
1, 3, 4
Let z(f) = f**3 - f**2 + f - 2. Let b(t) = -14*t**3 + 344*t**2 - 14116*t + 26920. Let m(n) = -b(n) - 12*z(n). Factor m(d).
2*(d - 82)**2*(d - 2)
Let o be (-819)/(-15)*(-14 + 29). Let u be 3094/o + (-22)/(-18) + -1. Factor 19/2*b**2 + b**u + 3/2 - 13/2*b - 11/2*b**3.
(b - 3)*(b - 1)**2*(2*b - 1)/2
Find h such that 2/17*h**4 + 856/17*h**2 - 132/17*h**3 - 1788/17*h + 1062/17 = 0.
1, 3, 59
Factor 186 - 1/2*d**2 - 121/2*d.
-(d - 3)*(d + 124)/2
Suppose 5*c - 47 = 13. Let t = -20 + 20. Suppose -4 + 26 - 3*q**3 + t*q**3 - 3*q - 4 - c*q**2 = 0. Calculate q.
-3, -2, 1
Let u(v) be the first derivative of v**4/15 - 88*v**3/15 + 968*v**2/5 + 13*v + 29. Let q(g) be the first derivative of u(g). Determine b so that q(b) = 0.
22
Suppose 5*j + 4 = -11, -18 = -4*v + 2*j. Determine f, given that -15*f**3 - 16*f**2 + 21*f**2 - f**5 + 2*f**5 - f**4 + 12*f**v - 2*f = 0.
-2, 0, 1
Let q be (4/7*102/204)/((-20)/(-112)). Let i(a) = -a**2 + 6*a + 6. Let r be i(6). Factor -r*m**3 + 8/5*m**4 + 0 + q*m + 24/5*m**2.
2*m*(m - 2)**2*(4*m + 1)/5
Let a(g) = 5*g**2 + 18*g - 7. Let t(b) = 3*b - 1. Let z = 168 + -163. Let o(j) = z*t(j) - a(j). Factor o(p).
-(p + 1)*(5*p - 2)
Let p(i) = -7*i**2 - 336*i + 427. Let s(f) = -36*f**2 - 1724*f + 2136. Let j(t) = 16*p(t) - 3*s(t). Factor j(g).
-4*(g - 2)*(g + 53)
Let u(j) = 3*j**2 + 4*j + 1. Let c be u(-2). Suppose -34*y**2 + c*y**5 + 164*y**2 - 60*y - 15*y**4 + 20 - 5*y**3 - 35*y**2 - 40*y**2 = 0. What is y?
-2, 1, 2
Factor 5/3*p**2 - 665/3 - 20*p.
5*(p - 19)*(p + 7)/3
Suppose -18 = 16*n - 50. Factor -25 + 4 - s**2 - 320*s - 5 + 2*s**n + 295*s.
(s - 26)*(s + 1)
Let z = 321/86 - 53/43. Let s(b) be the first derivative of -z*b**2 + 0*b**3 - 1 - 5/6*b**6 + 5/2*b**4 + 0*b**5 + 0*b. Let s(m) = 0. What is m?
-1, 0, 1
Let g(h) be the second derivative of 4*h**6/75 + 9*h**5/100 - 13*h**4/20 + 19*h**3/30 + 3*h**2/10 - 2114*h. What is w in g(w) = 0?
-3, -1/8, 1
Let q(x) be the third derivative of 0*x**3 - 1/30*x**5 - 1/105*x**7 + 0*x**4 + 0 - 4*x + x**2 + 1/30*x**6. Find i such that q(i) = 0.
0, 1
Let z(o) = -o. Let x(f) = -2*f**2 + 71*f - 578. Let p be -2 + 7/((-42)/(-30)). Let u(s) = p*z(s) + x(s). Suppose u(t) = 0. What is t?
17
Suppose 50 = -7*n + 32*n. Let 3 - 2*b**n - 691*b**4 - 4*b**2 + 694*b**4 = 0. What is b?
-1, 1
Suppose -9*k = -239 + 257. Let h be (63 - 60)*k/(-9). Factor -2/3 + 0*o + h*o**2.
2*(o - 1)*(o + 1)/3
Let k(a) be the third derivative of a**8/672 - 3*a**7/140 + a**6/16 + 5*a**5/24 - 30*a**2 + 3*a. Let k(l) = 0. What is l?
-1, 0, 5
What is