t t(h) = z*n(h) + 11*g(h). Factor t(j).
-2*(j - 6)*(4*j - 1)
Let p(j) = j**2 - 8*j - 17. Let r be p(10). Let n(u) be the first derivative of 9*u + 1/4*u**4 - 17 + 3/2*u**2 - 5/3*u**r. Suppose n(a) = 0. What is a?
-1, 3
Let v(l) be the second derivative of l**6/150 - 193*l**5/100 + 557*l**4/20 - 547*l**3/6 - 460*l**2 + 12*l - 29. Factor v(b).
(b - 184)*(b - 5)**2*(b + 1)/5
Factor 0 - 1/3*t**2 - 7/3*t.
-t*(t + 7)/3
Let l(w) be the first derivative of -2*w**3/27 - 139*w**2/9 + 280*w/9 - 1556. Determine r so that l(r) = 0.
-140, 1
Let 159/5*c + 1/5*c**2 + 314/5 = 0. What is c?
-157, -2
Let w(z) = 2*z**2 - 131*z - 854. Let x be w(-6). Factor 2/5*g**x + 6/5*g + 2/5*g**2 - 4/5 - 6/5*g**3.
2*(g - 2)*(g - 1)**2*(g + 1)/5
Factor 2*h**4 + 282*h**2 - 608 + 2195*h**3 - 1006*h**3 + 272*h - 1137*h**3.
2*(h - 1)*(h + 4)**2*(h + 19)
Suppose 68*m + 675 = 1411 - 600. Factor 4/7*n**3 - 2/7*n**m + 0*n - 2/7*n**4 + 0.
-2*n**2*(n - 1)**2/7
Let p be ((-5635)/(-138))/(-49)*((-3)/6)/(15/18). Let -p*q**2 + 5/4 - 1/8*q**3 + 7/8*q = 0. Calculate q.
-5, -1, 2
Let u(g) be the first derivative of -2*g**3/45 + 38*g**2/3 - 374*g/5 - 1461. Factor u(h).
-2*(h - 187)*(h - 3)/15
Let i be 1*3/8 + (-450)/(-80). Factor 4*l**2 - 1 - 772*l**5 + 388*l**5 + 382*l**5 + i*l**3 + 1.
-2*l**2*(l - 2)*(l + 1)**2
Let h(g) be the first derivative of g**5/120 - g**4/48 - g**3/2 + 5*g**2 - 143. Let d(z) be the second derivative of h(z). Factor d(p).
(p - 3)*(p + 2)/2
Let t(n) be the second derivative of 3/2*n**2 - n**3 + 30*n + 0 + 1/4*n**4. Factor t(m).
3*(m - 1)**2
Let p(o) = -8*o + 64. Let n be p(6). Factor -n*u**2 + 121*u + 95 - 9*u - 4*u**3 - 223.
-4*(u - 2)**2*(u + 8)
Let g = -720014 - -720018. Determine h so that 0*h + 0*h**2 + 3/4*h**g + 0 + 21/4*h**3 = 0.
-7, 0
Let m(t) be the first derivative of t**5/25 - 17*t**4/20 + 17*t**3/5 + 157*t**2/10 + 88*t/5 + 11788. Factor m(n).
(n - 11)*(n - 8)*(n + 1)**2/5
Suppose 4*n - 188 = 5*b, -4*n + 156 = -4*b - 28. Factor 5*v - 14*v**2 + n*v**2 - 15*v**2 + 6 - 12*v**2.
(v + 2)*(v + 3)
Let v(q) be the third derivative of -q**5/30 + 23*q**4/2 - 272*q**3/3 + 6*q**2 - 59. Find a such that v(a) = 0.
2, 136
Suppose -46*k + 19*k = -13*k - 420. Let v(c) be the first derivative of 0*c + 5/4*c**2 + 5/6*c**3 - k. Factor v(w).
5*w*(w + 1)/2
Let t be 3/(-8) + 18/(1584/(-319)) - -4. Factor 14/9*d**2 + t*d**3 - 2/9*d**4 - 4/3*d + 0.
-2*d*(d - 2)*(d - 1)*(d + 3)/9
Let j(v) = -v**3 + 9*v**2 - 1985*v + 17870. Let h be j(9). Factor 2552*o**2 + 31*o**4 - 596*o**3 - 1/2*o**h + 21296 + 18392*o.
-(o - 22)**3*(o + 2)**2/2
Let a(i) = -i**3 + 28*i**2 + 71*i - 1215. Let t be a(29). Find s such that 75/2*s**2 + 9/2*s**t + 0 + 9*s - 6*s**4 = 0.
-2, -1/4, 0, 3
Suppose 0 = -10*s + 193 + 77. Suppose 25*x**3 - 6*x**2 + 9*x**2 + 5*x**4 + s*x**2 = 0. What is x?
-3, -2, 0
Solve -1306449*g + 3269*g**3 - 3429*g**2 - 235359368 + 69440345 - 3272*g**3 = 0 for g.
-381
Let k(i) = 2*i**3 + 64*i**2 + 238*i + 224. Let l(q) = -q. Suppose -3*h + 23 - 2 = -3*y, -y = 5*h + 1. Let a(f) = y*l(f) - k(f). Determine g so that a(g) = 0.
-28, -2
Suppose 37*y = 40*y - 6. Suppose -4*t + s + 180 = 0, -120 = -t - y*t - 3*s. What is j in 242 - 11*j**2 + 4*j**2 - t*j + 9*j**2 = 0?
11
What is y in -1012/9 - 2/9*y**2 - 10*y = 0?
-23, -22
Let a(u) = 18*u**4 - 57*u**3 + 425*u**2 - 476*u - 3136. Let p(j) = -16*j**4 + j**3 + j**2. Let i(o) = -2*a(o) - 2*p(o). Solve i(m) = 0.
-2, 7, 16
Let l(a) be the first derivative of -a**6/480 + 11*a**5/60 - 43*a**4/96 - 106*a**2 - 221. Let v(f) be the second derivative of l(f). Factor v(k).
-k*(k - 43)*(k - 1)/4
Let f(d) = 15*d**2 + 927*d - 1080. Let o(s) = -3*s**2 + 26. Let w(q) = f(q) + 6*o(q). Factor w(l).
-3*(l - 308)*(l - 1)
Let f(u) = -48*u**3 + 561*u**2 + 48*u - 495. Let c(m) = 3*m**3 - 35*m**2 - 3*m + 31. Let k(v) = -33*c(v) - 2*f(v). Let k(w) = 0. What is w?
-1, 1, 11
Let s(m) be the third derivative of m**5/120 - 97*m**4/16 + 289*m**3/6 - 712*m**2 + 3*m. Factor s(z).
(z - 289)*(z - 2)/2
Let j be 16 - 14 - 1152/830. Let i = -1/83 + j. Let 1/5*a**4 + 0 + 4/5*a**3 + i*a**2 + 0*a = 0. What is a?
-3, -1, 0
Let q = -59 - -19. Let r be ((-9)/10)/(16/q). Let -1/2*b**2 - 5*b**4 + 13/4*b**3 + 0 + r*b**5 + 0*b = 0. Calculate b.
0, 2/9, 1
Determine s, given that 3/7*s**5 - 120/7*s**3 - 80/7*s + 0 + 192/7*s**2 + 16/7*s**4 = 0.
-10, 0, 2/3, 2
Let c(w) be the third derivative of -w**6/300 + 271*w**5/150 - 9*w**4/2 + 17*w**2 - 32. Suppose c(l) = 0. Calculate l.
0, 1, 270
Solve -27*b + 20*b**2 - 44 + 53*b + 2272*b**3 - 2274*b**3 = 0.
-2, 1, 11
Let g(n) = -60*n + 676. Let r be g(22). Let f = r - -4525/7. Determine q so that 3*q**2 - 4/7 + f*q**3 + 3/7*q**4 + 3/7*q = 0.
-4, -1, 1/3
Suppose -7*u = 7*j - 77, 3*j - 10 - 9 = 4*u. Factor -81/2 + 81/4*f + 0*f**u - 3/4*f**3.
-3*(f - 3)**2*(f + 6)/4
Find q such that 15/2*q**4 - 1/2*q**5 - 120*q + 50 + 209/2*q**2 - 83/2*q**3 = 0.
1, 2, 5
Let l(p) be the third derivative of -p**8/3024 + 2*p**7/189 - 5*p**6/54 - p**2 - 4*p - 2. Factor l(v).
-v**3*(v - 10)**2/9
Let u(b) be the first derivative of 2*b**3/3 - 53*b**2 - 220*b - 3983. Factor u(a).
2*(a - 55)*(a + 2)
Let b(d) be the third derivative of 0*d**4 - 7/120*d**6 - 18*d**2 - 1/336*d**8 + 0*d + 0 + 1/20*d**5 + 0*d**3 + 1/42*d**7. Solve b(u) = 0.
0, 1, 3
Suppose -5*x + q = -3 - 7, 0 = 3*q - 15. Let c(k) be the first derivative of -x*k + 3*k**2 + 6*k**3 - 31 + 0*k - 3*k**3 - 4*k**3. Let c(p) = 0. What is p?
1
Let z be 206/39 + 5*(-13 - -12). Let a = 41/39 + z. Solve 1/3*h + 0 + a*h**4 - 4/3*h**2 - 1/3*h**3 = 0 for h.
-1, 0, 1/4, 1
Let i = 8279 - 8279. Let x(t) be the first derivative of -12 + i*t**2 + 1/12*t**3 - t. Factor x(f).
(f - 2)*(f + 2)/4
Let u = -767254 + 2302786/3. Let u + 686/3*y**3 + 784*y**2 + 896*y = 0. Calculate y.
-8/7
Let n(m) be the first derivative of -m**5/70 - m**4/42 + m**3/21 + m**2/7 - 39*m + 23. Let o(v) be the first derivative of n(v). Determine f so that o(f) = 0.
-1, 1
Let w = -243 - -419. Let t be 30/(-160) + 737/w. Solve -9/5*y**t - 96/5*y**3 + 15 - 24*y - 282/5*y**2 = 0.
-5, -1, 1/3
Let t(g) = -g**2 - 4*g - 2. Let p be t(-3). Let f be (0 + 1)*-37*(-2 + p). Factor f*r - 21*r + r**5 - 15*r - 2*r**3.
r*(r - 1)**2*(r + 1)**2
Determine b, given that 2/3*b**5 + 20*b**2 - 256/9*b + 50/9*b**3 - 44/9*b**4 + 64/9 = 0.
-2, 1/3, 1, 4
Let v(g) = 7*g**4 - 28*g**3 - 185*g**2 - 396*g - 2. Let x(s) = -4*s**4 + s**3 - 2*s + 1. Let j(u) = -3*v(u) - 6*x(u). Find c such that j(c) = 0.
-16, -5, 0
Let s = 31528 - 31520. Let v(k) be the second derivative of 5*k**4 + 2*k + s*k**2 - 7/5*k**5 - 7 - 26/3*k**3 + 2/15*k**6. Find c such that v(c) = 0.
1, 4
Let h(s) be the first derivative of 5*s**3/9 + 35*s**2/2 - 230*s/3 - 2756. Factor h(y).
5*(y - 2)*(y + 23)/3
Find o, given that 209 - 156*o + 286 - 207*o**2 + o**3 - 506*o**2 + 50*o**2 - 13*o**3 = 0.
-55, -1, 3/4
Let p(m) be the third derivative of -m**5/60 + m**4/8 - m**3/3 - 1585*m**2. Factor p(x).
-(x - 2)*(x - 1)
Suppose 0 = -3*o + 3*t + 18, -4*t + 15 = 3*o + 18. What is b in 180*b**3 - 20 - 58*b - 14*b**2 - 184*b**o - 14*b**2 + 14*b = 0?
-5, -1
Let g = -148522 + 148529. Factor g + 34/5*s - 1/5*s**2.
-(s - 35)*(s + 1)/5
Let w be (-86)/(-3) + 348/261. Let x be 24/(-36) + 2*16/w. Let -2/5*l + x*l**2 - 4/5 = 0. What is l?
-1, 2
Let l = -11622 - -11625. Let r(q) be the third derivative of -21*q**2 + 0 - 1/6*q**4 + 0*q - 1/30*q**5 + 8/3*q**l. Find p, given that r(p) = 0.
-4, 2
Let k(y) be the second derivative of 93*y + 0*y**3 + 1/6*y**4 - y**2 + 0. Find j such that k(j) = 0.
-1, 1
Suppose 17076 + 3780 = 1738*p. Factor 64/3*h**2 + p*h + 8*h**4 + 8/3 + 4/3*h**5 + 56/3*h**3.
4*(h + 1)**4*(h + 2)/3
Let r(h) be the third derivative of -h**6/60 + 7*h**5/2 + 2*h**2 + 432. Factor r(x).
-2*x**2*(x - 105)
Let p(r) = 14*r + 13*r**3 - 14*r**3 - 13*r + 2. Let q be p(0). Let -2*y**4 - 64*y**q + 4*y + 20*y**5 + 10*y**4 - 20*y - 60*y**3 = 0. Calculate y.
-1, -2/5, 0, 2
Let q(h) be the third derivative of 0 + 17/21*h**3 + 3/14*h**4 - 52*h**2 + 0*h + 1/210*h**5. Factor q(r).
2*(r + 1)*(r + 17)/7
Let l be (0 - -6)*(-6 + 5) - -8. Let p(j) be the second derivative of 2*j**3 + 1/4*j**4 + 6*j**l + 10*j + 0. Suppose p(g) = 0. Calculate g.
-2
Let r(o) be the third derivative of -1/780*o**6 - 59*o + 2*o**2 + 0*o**3 + 0 - 8/39*o**4 + 2/65*o**5. Factor r(k).
-2*k*(k - 8)*(k