rivative of u**4/20 + 13*u**3/3 + 127*u**2/10 + 63*u/5 + 529. Factor k(b).
(b + 1)**2*(b + 63)/5
What is y in 7474/7*y**2 + 1224/7 + 590/7*y**4 + 50/7*y**5 - 566*y**3 - 5232/7*y = 0?
-17, 3/5, 2
Suppose 49644*v**5 + 600*v**2 + 130*v - 49646*v**5 + 329*v + 86*v**3 + 45*v - 12*v**4 = 0. Calculate v.
-6, -1, 0, 7
Let w(p) be the third derivative of p**8/560 - 2*p**7/105 + 47*p**6/600 - 7*p**5/50 + p**4/30 + 4*p**3/15 + 2209*p**2. Factor w(g).
(g - 2)**3*(g - 1)*(3*g + 1)/5
Let f(n) be the first derivative of -23763/7*n**2 - 1409938/7*n - 178/7*n**3 - 79 - 1/14*n**4. Suppose f(h) = 0. What is h?
-89
Let 4354 + 30*x**2 - 12*x**3 + 395*x - 4774 + 7*x**3 = 0. Calculate x.
-7, 1, 12
Let a(n) = -1554*n - 4661. Let u be a(-3). What is j in -u + 1/4*j**2 + 3/4*j = 0?
-4, 1
Let o(s) = 56*s + 54*s - 164*s + 55*s + 12. Let a be o(-8). Factor -a*w + 6*w**2 + 3*w - 4*w**2 + 5*w.
2*w*(w + 2)
Let n(i) = -2*i**3 - 28*i**2 - i + 2. Let g be n(-14). Suppose 4*v + 2*y = -8, 4*y + 0*y + g = v. Factor 2/3*u**4 + v + 0*u**3 - 2/3*u**2 + 0*u.
2*u**2*(u - 1)*(u + 1)/3
Let -3*g**2 + 12409*g**3 - 12730*g**3 + 321*g - 2*g**4 + 5*g**4 = 0. Calculate g.
-1, 0, 1, 107
Factor -990*n - 209 - 2065769*n**3 - 455*n**2 - 71 + 2065754*n**3.
-5*(n + 2)*(n + 28)*(3*n + 1)
Let g(s) be the third derivative of -5/28*s**4 + s**2 - 3/70*s**5 - 1/3*s**3 + 0*s - 1/420*s**6 - 8. Factor g(o).
-2*(o + 1)**2*(o + 7)/7
Let w(l) be the first derivative of 2*l**3/9 - 40*l**2/3 + 74*l + 877. Determine z, given that w(z) = 0.
3, 37
Suppose 3*j = q + 113, 2*q - 2*j = 5*q + 328. Let n = 64 - q. Determine g so that 0*g - n*g**3 + 176*g**3 - 2*g = 0.
-1, 0, 1
Let a(j) be the third derivative of j**8/5040 + 13*j**5/60 - j**4/12 - 20*j**2 + j. Let b(d) be the third derivative of a(d). Factor b(x).
4*x**2
Let z(i) = 2500*i**2 + 116550*i + 1293830. Let c(y) = 119*y**2 + 5550*y + 61611. Let t(x) = 125*c(x) - 6*z(x). Factor t(q).
-5*(5*q + 111)**2
Let y(t) = -11*t + 168. Let f be y(15). Factor -781 + 329*u**f - 324*u**3 + 375*u - 75*u**2 + 156.
5*(u - 5)**3
Let u(l) be the first derivative of 9*l**3 + 0*l**4 + 1/1080*l**6 + 1/90*l**5 + 0*l**2 + 0*l - 31. Let h(v) be the third derivative of u(v). Factor h(i).
i*(i + 4)/3
Solve -8*o**2 - 2*o**3 + 4*o**3 + 346 - 43*o - 3*o**3 - 12*o**2 - 10 = 0 for o.
-16, -7, 3
Solve -30*a + 71*a + 34*a - 2*a**3 - 3148 + 2776 - 180*a**2 + 479*a = 0.
-93, 1, 2
Let l(i) = -3*i**3 - 942*i**2 + 1167*i. Let a(w) = -w**3 - 225*w**2 + 292*w. Let y(u) = -9*a(u) + 2*l(u). Factor y(f).
3*f*(f - 2)*(f + 49)
Let b(q) be the first derivative of 0*q + 3/4*q**4 - 1/8*q**5 - 1/120*q**6 - 6*q**3 + 0*q**2 + 18. Let c(x) be the third derivative of b(x). Factor c(u).
-3*(u - 1)*(u + 6)
Let d(k) = k - 18. Let h be d(21). Suppose -27 - h*l**2 + 0*l**2 + 6*l**2 + 184*l - 208*l = 0. What is l?
-1, 9
Let l(g) be the third derivative of 1/15*g**6 + 0*g**3 + 1/6*g**4 - 74*g**2 + 3/10*g**5 + 0*g + 0. Determine q so that l(q) = 0.
-2, -1/4, 0
Suppose 6*g = 210*d - 208*d + 18, -2*d - 6 = -3*g. Factor 0*b**g + 0*b + 2/7*b**2 - 1/7*b**5 + 3/7*b**3 + 0.
-b**2*(b - 2)*(b + 1)**2/7
Suppose -f - f + 244 = -5*b, 5*b - 3*f = -246. Let d = b - -52. Suppose j**2 + 3 - 1 - 2*j**3 + j + j**4 - d*j**2 + j**3 = 0. What is j?
-1, 1, 2
Factor -1196*m**2 + 100/3*m**3 - 1/3*m**4 + 54400/3*m - 295936/3.
-(m - 34)**2*(m - 16)**2/3
Suppose 4*k - 11 = -3*q, 0 = 16*k - 14*k - 4*q. Find a, given that -11*a - 56 + 45*a - 44*a - 2*a**2 - 2*a**k - 26*a = 0.
-7, -2
Let s(c) be the second derivative of c**5/4 + 25*c**4/4 - 40*c**3/3 - 606*c. Determine z, given that s(z) = 0.
-16, 0, 1
Let b(p) = 54*p**3 - 940*p**2 + 56*p - 14. Let j(c) = 4*c**3 - c**2 + 4*c - 1. Let a(f) = 2*b(f) - 28*j(f). Solve a(t) = 0 for t.
-463, 0
Let d(a) be the first derivative of -27*a**4/20 - 5*a**3/3 + a**2/5 - 997. Factor d(k).
-k*(k + 1)*(27*k - 2)/5
Suppose 11*x - 15 = h + 6*x, 5*h + 5*x - 75 = 0. Let c be (1 - 9/h)*(-12)/(-9). Factor -4/5*l - c*l**2 + 14/15.
-2*(l - 1)*(l + 7)/15
Solve -21/2 + 33/8*l - 3/8*l**2 = 0.
4, 7
Suppose 2068*o = 2073*o + 75. Let y be o/(-5) + 4 - (8 + -5). Factor 0 + 6/7*g**5 + 6/7*g**2 - 4/7*g + 6/7*g**3 - 2*g**y.
2*g*(g - 1)**3*(3*g + 2)/7
Let f(d) be the second derivative of -d**4/16 + 385*d**3/2 - 444675*d**2/2 + 124*d + 7. Factor f(x).
-3*(x - 770)**2/4
Let s = -1652476 - -1652478. Suppose 42/5 + 83/5*v + 8*v**s - 1/5*v**3 = 0. What is v?
-1, 42
Let f = -14193 + 14195. Let i(d) be the first derivative of 81/4*d**f + 243/2*d + 1/24*d**4 + 27 + 3/2*d**3. Determine z, given that i(z) = 0.
-9
Let g be 35/10*1132/1981. Factor 312*z + 2/13*z**3 - 12*z**g - 2704.
2*(z - 26)**3/13
Let y(a) = -a**3 + 14*a**2 - 47*a - 13. Let o be y(7). Let j be (-1340)/170 + o + 7. Suppose 8/17 + 8/17*g + j*g**2 = 0. Calculate g.
-2
Let s(l) be the first derivative of -5*l**4/12 - 155*l**3/6 - 148*l - 154. Let d(p) be the first derivative of s(p). Factor d(u).
-5*u*(u + 31)
Let l = 8726/15687 + 34/2241. Suppose -l*i**3 - 4/7*i**4 + 2/7*i**2 + 5/7*i - 1/7*i**5 + 2/7 = 0. What is i?
-2, -1, 1
Suppose 2*v = -4*d - 52, -2*v + 5*d = -71 + 6. Solve 17/4*a**2 - 9/2*a**3 + 5/4*a**4 + v*a - 1 = 0.
-2/5, 1, 2
Suppose -1/8*s**2 - 75/4 + 77/8*s = 0. Calculate s.
2, 75
What is k in 0 - 2*k**2 - 20/11*k**4 + 1/11*k**5 - 43/11*k**3 + 0*k = 0?
-1, 0, 22
Let g(a) be the second derivative of -a**3/3 + 9*a**2 + 7*a. Let p be g(4). Let -15*f**4 + 10*f**2 + 4 - 16*f + f + 5*f**5 + 1 + 0*f + p*f**3 = 0. Calculate f.
-1, 1
Let h(f) = -35*f**2 + 34900*f - 20323400. Let q(d) = -11*d**2 + 11634*d - 6774468. Let n(k) = 3*h(k) - 10*q(k). Determine v so that n(v) = 0.
1164
Let i(u) be the first derivative of -u**4/2 - 2*u**3 - 2*u**2 + 1776. Factor i(v).
-2*v*(v + 1)*(v + 2)
Let b(h) be the second derivative of -h**4/15 - 206*h**3/15 - 1164*h**2/5 + 511*h - 2. Solve b(p) = 0 for p.
-97, -6
Let l(p) be the third derivative of 605*p**7/672 + 11*p**6/72 + p**5/120 + 11*p**3/2 + 337*p**2. Let d(q) be the first derivative of l(q). Solve d(s) = 0.
-2/55, 0
Let m(h) be the first derivative of 4*h**5/5 + 3*h**4 - 16*h**3/3 - 24*h**2 - 14312. Factor m(j).
4*j*(j - 2)*(j + 2)*(j + 3)
Let h(w) be the first derivative of 9 - 2/27*w**3 + 17/9*w**2 + 0*w. Find r such that h(r) = 0.
0, 17
Let z(d) be the third derivative of 0*d + 10/9*d**3 - 2 + 2/15*d**5 - 1/180*d**6 + 2*d**2 - 7/12*d**4. Find f, given that z(f) = 0.
1, 10
Factor -91*t - 53*t + 9 + 66*t**3 - 20*t + 129*t**2 - 24*t - 16*t.
3*(t - 1)*(t + 3)*(22*t - 1)
Let f(t) = 2*t**5 - 14*t**4 - 12*t**3 - 16*t**2 + 22*t + 6. Let o(b) = 345*b - 173*b - 171*b - b**4 - b**2. Let d(r) = f(r) - 12*o(r). Solve d(c) = 0 for c.
-1, 1, 3
Factor -128 + 255/2*g**2 + 1/2*g**4 + 16*g - 16*g**3.
(g - 16)**2*(g - 1)*(g + 1)/2
Let y(o) be the third derivative of 0*o + 1/120*o**5 + 0 - 1/3*o**3 - 1/12*o**4 + 49*o**2 + 1/120*o**6. Let r(h) be the first derivative of y(h). Factor r(u).
(u + 1)*(3*u - 2)
Let s(w) be the second derivative of w**5/4 + 25*w**4/6 + 35*w**3/2 - 542*w. Suppose s(l) = 0. What is l?
-7, -3, 0
Let f(g) be the third derivative of 23/30*g**6 + 1/252*g**8 + 0 + 0*g**3 + 50/9*g**4 + 4/45*g**7 - 7*g + 2*g**2 + 28/9*g**5. Find y, given that f(y) = 0.
-5, -2, 0
Let a(g) be the first derivative of g**6/1080 - 7*g**5/90 - 5*g**4/6 - g**3/3 - 3*g - 129. Let c(n) be the third derivative of a(n). Let c(l) = 0. Calculate l.
-2, 30
Let d(b) = -70*b**2 + 169*b - 47. Let u(y) = -23*y**2 - 9 + 11*y + 45*y - 7. Let z be -5 - ((15/(-3))/(-1) + -6). Let w(v) = z*d(v) + 11*u(v). Solve w(j) = 0.
2/9, 2
Let h = -9907 - -9910. Find c such that -3/2*c**2 - 1/2*c + 3/2 + 1/2*c**h = 0.
-1, 1, 3
Let d(i) be the third derivative of -1/9*i**4 + 2/945*i**7 + 1/180*i**6 - 58*i**2 - 4/27*i**3 + 0*i + 0 - 7/270*i**5. Let d(y) = 0. What is y?
-2, -1, -1/2, 2
Let b(q) be the first derivative of -5*q**4/4 + 640*q**3/3 + 3305*q**2/2 + 2660*q - 8095. Solve b(t) = 0 for t.
-4, -1, 133
Let u(n) = -11*n**2 + 444*n - 138. Let k be u(40). Let d(i) be the first derivative of -64*i - k + 8*i**2 - 1/3*i**3. Factor d(g).
-(g - 8)**2
Let x be (5 - 25/7)*14. Find k, given that -k**2 + 4*k**2 + x*k + 5*k**2 - 60 - 3*k**2 = 0.
-6, 2
Let i = 6 - 3. Let y be 10 + ((-3)/(-9) - 198/27). Solve -2*h**3 - y*h**2 + 7*h**2 - 2*h + 5*h + i*h**3 = 0.
-3, -1, 0
Let p(v) be the second derivative