olve n(i) = 0.
-40, -3
Let u(v) = -64*v + 104 + 8*v**2 - 9*v**2 + 2*v**2 + 0*v**2. Let k(j) = 10*j**2 - 575*j + 935. Let z(w) = 4*k(w) - 35*u(w). Factor z(a).
5*(a - 10)*(a - 2)
Find r, given that -10/3 + 1/6*r**3 - 3/2*r**2 + 4*r = 0.
2, 5
Let p(f) be the first derivative of -2*f**6/21 + 68*f**5/35 - 75*f**4/7 + 172*f**3/21 + 152*f**2/7 - 240*f/7 + 5910. Determine m, given that p(m) = 0.
-1, 1, 6, 10
Let r(a) be the first derivative of 5*a**5 - 145*a**4/2 + 135*a**3 - 20*a**2 - 100*a + 817. Solve r(h) = 0.
-2/5, 1, 10
Let l(w) be the first derivative of 2*w**3/3 + 153*w**2 + 604*w + 253. Factor l(b).
2*(b + 2)*(b + 151)
Let t(j) = -j**2 - j - 1. Let r(x) = 34*x**2 - 56*x + 38 - 24*x**2 - 16*x**2. Let n(o) = -r(o) + 8*t(o). Determine d, given that n(d) = 0.
1, 23
Suppose -3*s - 1119 = p - 1103, -p - 4*s = 22. Find v such that 4/3 + 1/3*v - 1/6*v**p = 0.
-2, 4
Suppose 133*o = 259*o + 81*o - 1035. What is m in -1/5*m**o - 1/5*m + 0 + 2/5*m**3 + 0*m**2 + 0*m**4 = 0?
-1, 0, 1
Let o be (-20)/(-216) - 13/78 - 74/(-270). Let -o*d + 0 - 1/5*d**2 = 0. What is d?
-1, 0
Let d(r) be the third derivative of r**6/480 - r**5/30 + 7*r**4/32 - 3*r**3/4 + r**2 - 64*r. Factor d(n).
(n - 3)**2*(n - 2)/4
Let m = -1739364/5 + 347873. Factor -6/5*a + m*a**3 - 3/5*a**2 + 8/5.
(a - 4)*(a - 1)*(a + 2)/5
Let c be (-2)/(-16) - ((-89030)/560)/29. Let x = 48/7 - c. Factor -5/4*d**3 + 0*d**2 + x*d + 0.
-5*d*(d - 1)*(d + 1)/4
Suppose -v - 21*k = -24*k - 15, 5*k - 26 = -4*v. Let o be (320/14)/(-8)*(-21)/v. Factor -28/3*q**3 - o*q**4 + 0*q + 0 - 4/3*q**5 - 4*q**2.
-4*q**2*(q + 1)**2*(q + 3)/3
Let u(a) be the second derivative of 0*a**2 - 1/114*a**4 - 1 + 97*a - 4/57*a**3. Suppose u(w) = 0. What is w?
-4, 0
Let f(k) be the second derivative of -35*k**4/6 + 55*k**3/6 + 195*k**2 + 98*k - 18. Factor f(p).
-5*(p + 2)*(14*p - 39)
Let j(h) = 8*h + 280. Let n be j(-38). Let a be (n/27)/((-7)/21). Determine q so that -2/3*q**4 - 16/3*q + 4/3*q**3 + 2*q**2 + a = 0.
-2, 1, 2
Let t = -2 + 4. Let b = -141971/21 + 20282/3. Factor -b*u**3 - 3/7 - u - 5/7*u**t.
-(u + 1)**2*(u + 3)/7
Let n(a) be the second derivative of a**5/240 + 35*a**4/48 + 1225*a**3/24 + 55*a**2 - 135*a. Let r(q) be the first derivative of n(q). Factor r(s).
(s + 35)**2/4
Let l(m) be the first derivative of 15 - 36*m - 6*m**2 - 1/2*m**4 + 9/2*m**3. Let z(g) be the first derivative of l(g). Factor z(u).
-3*(u - 4)*(2*u - 1)
Let f(q) = 33*q - 1579. Let g be f(48). Let h(c) be the third derivative of 0*c**4 - 1/280*c**6 - 13*c**2 + 0*c + 0*c**3 - 1/35*c**g + 0. Factor h(u).
-3*u**2*(u + 4)/7
Let l be (-20)/30 + -2089*20/6. Let n = 21068/3 + l. What is p in 1 - 28*p**3 + 64/3*p**5 - n*p**4 - 34/3*p + 119/3*p**2 = 0?
-1, 1/4, 3
Let q(n) be the second derivative of -n**5/60 - n**4/6 + 5*n**3/6 + n**2/2 - n - 18. Let r(s) be the first derivative of q(s). Factor r(j).
-(j - 1)*(j + 5)
Suppose -627 = -s + 303. Suppose i = 0, 25 = d - 26*i + 21*i. What is y in y**2 + 24 + 916*y + d - s*y = 0?
7
Let z be (0/(-1) + 3)*32/168. Factor -44/7*q**3 - 24/7*q**2 - 16/7*q**4 + z*q**5 + 0*q + 0.
4*q**2*(q - 6)*(q + 1)**2/7
Determine c, given that 2/3*c**4 - 338/3*c**3 - 114*c**2 + 340/3 + 338/3*c = 0.
-1, 1, 170
Let h(d) be the second derivative of -d**4/14 - 53*d**3/7 + 330*d**2/7 - 2*d + 1351. Factor h(c).
-6*(c - 2)*(c + 55)/7
Let u(n) be the second derivative of -1/30*n**6 + 79 - 1/36*n**4 + 1/20*n**5 + 0*n**2 - n + 0*n**3 + 1/126*n**7. Let u(d) = 0. What is d?
0, 1
Let d(i) be the second derivative of -i**4/5 + 277*i**3/15 - 46*i**2/5 - 1422*i. Let d(v) = 0. What is v?
1/6, 46
Suppose -4*y = -3*p + 40, -p + 24 = 4*p + 4*y. Let d(w) = -w**2 + 11*w - 12. Let m be d(9). Factor -m*u**2 + p*u - 3*u**4 - 4*u**3 - 2*u**2 + 5*u**4 + 2*u**3.
2*u*(u - 2)*(u - 1)*(u + 2)
Let s = -3656 + 40335/11. Let r = 487/44 - s. Factor r*b**3 - 9/4 + 3/4*b + 5/4*b**2.
(b - 1)*(b + 3)**2/4
Suppose -5*t - 2*n - 5 = 6 - 6, 0 = -3*n - 30. Find u such that 0*u + 2/5*u**t + 0 - 1/5*u**4 + 0*u**2 = 0.
0, 2
Let t = -461 - -1045. Let d = t - 281. Factor -2*j**2 - d*j**4 + 306*j**4 - j**2.
3*j**2*(j - 1)*(j + 1)
Let z be (-116)/16*-1 - 3/12. Let b = z + -59/9. Factor -2/9*m + 2/9*m**5 + 0*m**3 + b*m**4 - 4/9*m**2 + 0.
2*m*(m - 1)*(m + 1)**3/9
Let n(k) be the first derivative of 3*k**3 + 9*k + 33/4*k**2 + 3/8*k**4 - 73. Factor n(p).
3*(p + 1)*(p + 2)*(p + 3)/2
Let d = 12207683/13951656 - -2/1743957. Factor 1/8*r**3 + 3/4 - 13/8*r - 1/8*r**4 + d*r**2.
-(r - 2)*(r - 1)**2*(r + 3)/8
Let n be (-18414)/2079*2/10*11. Let r = n - -106/5. Factor 0*m + 0 + 3/7*m**3 + r*m**2.
3*m**2*(m + 4)/7
Let i = 3521947/3 - 1173975. Factor j**3 + i*j**2 + 29/3*j - 10.
(j + 3)*(j + 5)*(3*j - 2)/3
Let a = 258 + -254. Suppose -21*r**a + 18*r**4 - 9*r**3 + 6 - 3*r**2 + 11*r - 2*r = 0. What is r?
-2, -1, 1
Let s = 315 - 177. Suppose -4*f - 2*a = 0, 22 = f + s*a - 143*a. Factor -3*g**3 - 6 + 12*g + 3/2*g**4 - 9/2*g**f.
3*(g - 2)*(g - 1)**2*(g + 2)/2
Factor 21125000 - 2355*i**3 + 46*i**4 - 343*i**3 - 21853*i**2 + 2*i**5 - 40497*i**2 + 910000*i.
2*(i - 26)**2*(i + 25)**3
Determine w, given that -28*w**4 + 4311*w**2 + 307*w**4 - 255*w**3 - 52*w**5 - 4215*w**2 - 12*w - 56*w**5 = 0.
0, 1/4, 2/3, 1
Let q be 1752/1168*(-3 + 56/18). Factor -1/3 - q*k**2 + 1/2*k**4 - 5/6*k**3 + 5/6*k.
(k - 1)**2*(k + 1)*(3*k - 2)/6
Factor 55*f**2 + 0*f**4 - 2 + 3*f**4 + 72*f - 58*f**2 + 2 - 72*f**3.
3*f*(f - 24)*(f - 1)*(f + 1)
Let i be (61/976)/(9*(-10)/(-480)). Let -23/3*l - 8 + i*l**2 = 0. Calculate l.
-1, 24
Suppose -103 - 38 = -23*u + 89. Determine x so that -125 - 1/5*x**2 + u*x = 0.
25
Let v(r) = -r**4 + 16*r**3 - 51*r**2 + 4. Let g be (2 - 0)/((-14)/(-21)*-3). Let l(d) = -d**3 + d**2 - 2. Let t(x) = g*v(x) - 2*l(x). Factor t(k).
k**2*(k - 7)**2
Factor -18 + 37/4*z**2 + 3/4*z**3 + 33/4*z - 1/4*z**4.
-(z - 8)*(z - 1)*(z + 3)**2/4
Suppose -14*i = -6*i - 248. Suppose -i*y = -30*y - 2. Factor 30*z**3 + z**4 + 60*z**2 + 22*z**2 - 7*z**2 + y*z**4.
3*z**2*(z + 5)**2
Suppose 3*f + 989 = 1040. Factor 3015*g**3 - f*g - 13*g - 21*g**2 - 3018*g**3.
-3*g*(g + 2)*(g + 5)
Suppose -5*i - 4*k = 57, -5*k = 69*i - 74*i + 105. Determine u so that 3/5*u**4 - 93/5*u + 21/5*u**3 + i*u**2 - 18 = 0.
-5, -3, -1, 2
Let c(q) = -966 - 515 - 386*q - 4173 - 4*q**2 - 3947. Let o(x) = -8*x**2 - 770*x - 19201. Let i(d) = 7*c(d) - 3*o(d). Solve i(l) = 0 for l.
-49
Let x(v) = v**2 - 12*v - 13. Let f be x(11). Let j = f + 28. Determine l so that 11*l + 13 - j*l**2 - 1 + 13*l - 16*l = 0.
-1, 3
Suppose -30 = -3*d - 3*z, -2*d + 21*z + 27 = 24*z. Factor 10*q**2 - 6*q + 0 + 1/2*q**5 - 7/2*q**d - q**4.
q*(q - 2)**2*(q - 1)*(q + 3)/2
Factor -262/3*u**2 - 140/3*u - 2 - 128/3*u**3.
-2*(u + 1)**2*(64*u + 3)/3
Suppose 0*n + t = -4*n + 21, 5*n - 2*t - 23 = 0. Suppose -3*k = 3*a - 5*a, a = -n*k + 13. Factor -48*o**k - 68*o**2 + 17*o**2 - 10*o - 20*o + 21*o**3.
3*o*(o - 5)*(7*o + 2)
Let j(d) be the third derivative of -d**8/13440 - d**7/1680 - d**6/720 + d**4/12 + 5*d**2 + 3*d. Let i(w) be the second derivative of j(w). Factor i(l).
-l*(l + 1)*(l + 2)/2
Suppose 213*m - 532 = 463 - 143. Let f(w) be the first derivative of 14/3*w**3 + 19/3*w**2 + m*w - 17 + 3/2*w**4 + 2/15*w**5. Suppose f(g) = 0. Calculate g.
-6, -1
Suppose 0 = 20*f - 21*f - 8. Let n be f/(-60) - (-4018)/1365. Solve -10/13*i**4 + n*i - 12/13*i**2 - 34/13*i**3 + 16/13 = 0 for i.
-2, -2/5, 1
Let o(n) = -268*n**2 - 392*n - 816. Let a(c) = 34*c**2 - c. Let y(i) = -8*a(i) - o(i). Factor y(m).
-4*(m - 102)*(m + 2)
Let c be ((1 - 0)*(-43 + -10))/(-1). Solve c*b - 5*b**2 + 13 + 17*b - 21 - 57 = 0.
1, 13
Let u = 485555 - 485553. What is b in 2*b + 2/7*b**u + 12/7 = 0?
-6, -1
Let a = 218 - 215. Factor 9*f**3 + 8*f**2 + 14*f**3 - 5*f**2 - 20*f**a.
3*f**2*(f + 1)
Let y(s) = s**2 - s - 1. Let q(i) = i**2 + 195*i + 371. Let k(h) = -q(h) - 3*y(h). Factor k(w).
-4*(w + 2)*(w + 46)
Let r(z) = -2*z**4 + z**2 + 3. Let k(j) = -4*j**5 - 28*j**4 + 12*j**3 + 184*j**2 + 216*j + 12. Let t(f) = -k(f) + 4*r(f). Factor t(i).
4*i*(i - 3)*(i + 2)*(i + 3)**2
Suppose -u = 2*l - 9, -4 = -u + 1. Suppose -33*i**3 + 173*i**3 + 85*i**4 + 40*i**l - 6*i**5 + 20*i**2 + 26*i**5 - 5*i**5 = 0. What is i?
-3, -2, -2/3, 0
Let g be (3 - 5)/(6 + 21/(-3)). Solve -20 + 13 - 2*a + 15 - 10*a**g = 0.
-1, 4/5
Let k(n) be the third derivative of n**6/2