n + 1)
Factor 1800/17 - 52/17*u**2 + 210/17*u + 2/17*u**3.
2*(u - 15)**2*(u + 4)/17
Let f be (4 - 4)*-1 - 0*2/(-2). Let x(p) be the third derivative of -3*p**2 - 1/40*p**5 + 1/4*p**3 + f + 0*p + 0*p**4. Factor x(m).
-3*(m - 1)*(m + 1)/2
Let d(i) be the second derivative of 5*i**4/12 - 865*i**3/6 + i - 129. Solve d(t) = 0.
0, 173
Let p = 42/349 - -837/1745. Let f(q) be the second derivative of -p*q**5 + 0 + 18*q - 5/3*q**4 - 4/3*q**3 + 0*q**2. Find z, given that f(z) = 0.
-1, -2/3, 0
Let k(a) be the first derivative of a**4/2 + 94*a**3/3 - 310*a**2 + 848*a + 10821. Determine j so that k(j) = 0.
-53, 2, 4
Suppose -5325767757 - 103100547 + 665048784 - 14760*n**2 + 14523840*n + 5*n**3 = 0. What is n?
984
Let y(u) = -25*u**2 + 103*u + 9. Let a(n) = -6*n**2 + 26*n + 2. Suppose -34 = -36*b + 19*b. Let o(v) = b*y(v) - 9*a(v). Find f, given that o(f) = 0.
0, 7
Factor 9/4*z**2 + 25/4*z - 1/4*z**3 - 33/4.
-(z - 11)*(z - 1)*(z + 3)/4
Let u(p) be the first derivative of -p**4/16 - 201*p**3/4 + 2425*p**2/8 - 1821*p/4 + 10257. Factor u(h).
-(h - 3)*(h - 1)*(h + 607)/4
Let p be ((-2)/(-4))/((-8)/32)*(-516)/216. Factor -p*l**2 + 1/9*l**3 - 41/9 + 83/9*l.
(l - 41)*(l - 1)**2/9
Let f(m) = -5*m**4 + 36*m**3 + 127*m**2 - 362*m + 196. Let d(t) = 10*t**4 - 73*t**3 - 256*t**2 + 726*t - 393. Let z(p) = 4*d(p) + 7*f(p). Factor z(r).
5*(r - 10)*(r - 1)**2*(r + 4)
Let c(j) = -j**3 + 18*j**2 + 154*j - 2845. Let a be c(13). Find k such that -27/5*k + 3/5*k**4 + 0 - 21/5*k**3 + 9*k**a = 0.
0, 1, 3
Let h = 11665 + -23329/2. Let t = -49/2 - -25. Factor -t*f**3 - h*f + f**2 + 0.
-f*(f - 1)**2/2
Let s(n) be the third derivative of -19/36*n**4 + 1/504*n**8 - 1/30*n**6 - 2/9*n**5 - 9 + 0*n - 2/3*n**3 + 2/315*n**7 + 3*n**2. Suppose s(p) = 0. What is p?
-2, -1, 3
Suppose 25*b - 30 = 20. Let h(d) = -d**3 + 2*d**2 - 8*d + 17. Let x be h(b). Solve x + 1/2*c - 1/2*c**2 = 0 for c.
-1, 2
Let k(l) = -l**2 + 483*l + 18. Let o(d) = 2*d**2 - 482*d - 24. Let q(m) = -4*k(m) - 3*o(m). Determine a so that q(a) = 0.
-243, 0
Let g(r) = -r**3 + 13*r**2 + 12*r + 28. Let m be g(14). Suppose m = -3*d + 59 - 47. Solve -2/7*o**2 + 2/7*o**d + 0 + 0*o - 2/7*o**3 + 2/7*o**5 = 0 for o.
-1, 0, 1
Let w(g) = -2*g**4 - 46*g + 47*g + 11 - g**5 - 13. Suppose 3*a = 3 + 3. Let f(u) = u**5 + u**4 - u**3 + 1. Let v(b) = a*w(b) + 4*f(b). Factor v(d).
2*d*(d - 1)**2*(d + 1)**2
Let q be 30/3 + 81/(-9). Let c be (20/80)/(q/8). Factor -8/9*p + 2/3 + 2/9*p**c.
2*(p - 3)*(p - 1)/9
Let k(i) be the second derivative of 9*i**5/20 - 2750*i**4/3 + 3362333*i**3/6 - 373321*i**2 + 6967*i. Find f, given that k(f) = 0.
2/9, 611
Let f be (30/(-75))/((-87)/(-30) - 3). Let u(a) be the third derivative of 0 + 0*a**3 + 0*a + 15*a**2 + 1/450*a**5 - 1/180*a**f. Determine h so that u(h) = 0.
0, 1
Let v = 11 + -11. Let z = 19/179 + 141/358. Solve v + z*l**2 + 0*l + 2*l**4 + 2*l**3 = 0.
-1/2, 0
Let b(s) be the first derivative of -s**5/20 + 3*s**4/8 + 2*s**3 + 5*s**2/2 + 3*s - 138. Let j(p) be the second derivative of b(p). Factor j(m).
-3*(m - 4)*(m + 1)
Let y = 200 - 198. Solve -4*x**2 + x**2 - 4*x**2 + 116*x + 8*x**y + 3364 = 0.
-58
Let t be (-64)/(-144)*144/112. Factor -8/7*d + t*d**4 + 0*d**2 - 4/7 + 8/7*d**3.
4*(d - 1)*(d + 1)**3/7
Let m = 2882533/7 + -411787. Factor -3/7*i**4 + m*i**3 - 39/7*i**2 + 18/7*i + 0.
-3*i*(i - 6)*(i - 1)**2/7
Let b be (-279)/(-30)*-23*20/(-5). Let s = b - 852. Factor -12/5*t**2 + 12/5*t**3 + 6/5*t**5 - 18/5*t - 6/5 + s*t**4.
6*(t - 1)*(t + 1)**4/5
Let k(n) = -22*n**4 + 387*n**3 - 233*n**2 - 1994*n - 7. Let q(y) = -15*y**4 + 260*y**3 - 155*y**2 - 1330*y - 5. Let v(f) = 5*k(f) - 7*q(f). Solve v(b) = 0.
-2, 0, 3, 22
Let j(p) be the third derivative of -p**6/24 - 23*p**5/12 + 5*p**4 - 75*p**2. Factor j(u).
-5*u*(u - 1)*(u + 24)
Let 4/7*p**2 - 104/7*p + 100/7 = 0. What is p?
1, 25
Let k(u) be the second derivative of u**6/4 + 9*u**5/5 + 21*u**4/8 - 13*u**3/2 - 18*u**2 - 216*u - 3. What is l in k(l) = 0?
-3, -2, -4/5, 1
Let g(q) be the third derivative of q**5/180 + 55*q**4/3 + 24200*q**3 + 844*q**2. Solve g(z) = 0.
-660
Suppose -m - 5*j + 34 - 111 = 0, -2*j = -4*m + 44. Determine y, given that 1/2*y**5 - 7/2*y**m - 1/2*y**2 + 3*y + 0 + 1/2*y**4 = 0.
-3, -1, 0, 1, 2
Suppose 4*b = j + 2, 4050 - 4016 = -2*b + 4*j. Let 2*o**b - 8/3*o**5 + 0*o + 0*o**4 + 0 + 2/3*o**2 = 0. Calculate o.
-1/2, 0, 1
Determine j so that 0 - 12*j**3 + 0*j**2 + 0*j + 135/2*j**5 + 129*j**4 = 0.
-2, 0, 4/45
Let n(q) be the second derivative of 11*q + 1/42*q**4 + 22/7*q**2 + 23/21*q**3 + 0. Factor n(f).
2*(f + 1)*(f + 22)/7
Let k(n) be the second derivative of n**8/3360 + n**7/315 - n**6/30 - 47*n**4/6 - 5*n. Let i(q) be the third derivative of k(q). Factor i(b).
2*b*(b - 2)*(b + 6)
Factor -6/7*z + 72/7 - 6/7*z**2.
-6*(z - 3)*(z + 4)/7
Let h = -16 - -39. Suppose 4*u = h - 15. Factor 2*o**2 + 4*o**u + 2*o - o.
o*(6*o + 1)
Let g(y) = -y**3 - 2*y**2 + 7*y - 2. Let d(o) = -4*o**3 - 1272*o**2 - 534231*o - 75151454. Let a(p) = 2*d(p) - 6*g(p). Determine j so that a(j) = 0.
-422
Factor 5236*x**2 - 4/3*x**3 - 6853924*x + 8971786516/3.
-4*(x - 1309)**3/3
Let d(r) be the second derivative of -r**6/6 - 561*r**5/4 - 2795*r**4/4 - 8375*r**3/6 - 1395*r**2 - 2240*r. What is u in d(u) = 0?
-558, -1
Factor -18 + 1/5*f**2 - 13/5*f.
(f - 18)*(f + 5)/5
Let u(z) = 2*z**2 + 5*z - 5. Let v be u(13). Suppose v + 6 = 2*j. Find h such that -20 - 7*h + 197*h**2 - 13*h - j*h**2 = 0.
-2
Let h(r) = -r**3 + r**2 - 3. Let d(v) = -6*v**3 - 799*v**2 - 3. Let o(z) = d(z) - h(z). Solve o(s) = 0 for s.
-160, 0
What is c in 25130 - 24980 + 205*c - 38*c**3 + 16*c**4 + 5*c**5 - 40*c**2 - 52*c**3 - 6*c**4 = 0?
-5, -1, 2, 3
Let d be 8/10 + 3465/4575. Let l = 6453/305 - d. Factor 84/5*q + 18/5 + l*q**2.
2*(7*q + 3)**2/5
Let x(l) = 12*l**3 + 68*l**2 - 82*l - 270. Let r(f) = -12*f**3 - 67*f**2 + 95*f + 273. Let p(k) = 4*r(k) + 6*x(k). Find n such that p(n) = 0.
-6, -11/6, 2
Let a(d) = d**3 - 43*d**2 - 100*d - 10. Let j(u) = -12*u**3 + 558*u**2 + 1299*u + 135. Let w(s) = -27*a(s) - 2*j(s). Factor w(f).
-3*f*(f - 17)*(f + 2)
Let i = -128825 + 128825. Factor 1/6*k**3 + i - 1/3*k**2 + 1/6*k.
k*(k - 1)**2/6
Let d(j) be the first derivative of j**8/420 + j**7/420 - j**6/180 - 3*j**3 - j**2/2 + 68. Let h(w) be the third derivative of d(w). Factor h(i).
2*i**2*(i + 1)*(2*i - 1)
Let y(n) be the first derivative of n**3/4 - 177*n**2/8 + 165*n - 362. Solve y(d) = 0 for d.
4, 55
Let f(k) = 61*k**3 - 5*k**2 - 12*k + 12. Let m(o) = 53*o**3 - 5*o**2 - 11*o + 11. Let x(w) = -6*f(w) + 7*m(w). Suppose x(n) = 0. What is n?
-1, 1
Let w be (-3)/6*-6 + -3. Let r = 281/21 - 233/21. Factor -4/7*m**2 + w - r*m.
-4*m*(m + 4)/7
Let v(b) be the first derivative of 3*b**5/5 - 15*b**4/8 - b**3/2 + 196*b + 18. Let s(n) be the first derivative of v(n). Find f such that s(f) = 0.
-1/8, 0, 2
Let g(v) be the first derivative of -v**6/36 + v**5/6 + 9*v**4/4 - 244*v**3/9 + 328*v**2/3 - 192*v + 711. Factor g(s).
-(s - 4)**3*(s - 2)*(s + 9)/6
Let n(d) be the second derivative of -4*d**6/15 + 43*d**5/10 - 225*d**4/8 + 1539*d**3/16 - 729*d**2/4 - 1546*d + 5. Factor n(h).
-(h - 4)*(4*h - 9)**3/8
Let z be -674 - (-1 + 9 + -1). Let b = 684 + z. What is x in -26/3*x**2 - 2*x**b + 0 - 8/3*x = 0?
-4, -1/3, 0
Let v(f) = f**2 + 13*f + 2. Let d be v(-13). Let l(g) = -2*g**2 + 21*g + 12. Let m be l(11). Solve 2 - m + 3 + 4*o**d - 6*o + 23*o = 0.
-4, -1/4
Let l be (3234/(-540) - -7) + (4 - -3) + -8. Let c(k) be the third derivative of -l*k**5 + 0 - 5*k**2 + 0*k - 7/9*k**3 + 2/9*k**4. Find g, given that c(g) = 0.
1, 7
Let z be (1/1)/(10872/2172 + -5). Let m = z + -181. Factor 2/7*q + 0 + m*q**2 - 2/7*q**3.
-2*q*(q - 1)*(q + 1)/7
Let z(p) = 2*p**2 - 356*p - 360. Let y(d) = -d**2. Let a(s) = 2*y(s) - z(s). Factor a(t).
-4*(t - 90)*(t + 1)
Suppose -131 = -h + 728. Let a = -859 + h. Factor 2/3*r**5 + 4/3*r**2 - 4/3*r**4 - 2/3*r + 0 + a*r**3.
2*r*(r - 1)**3*(r + 1)/3
Let s(w) = -8*w**3 + 506*w**2 - 518*w - 984. Let k(o) = -18*o**3 + 1013*o**2 - 1037*o - 1964. Let f(j) = 6*k(j) - 13*s(j). Factor f(z).
-4*(z - 2)*(z + 1)*(z + 126)
Suppose 91*s - 55*s = 50*s. Let h(b) be the second derivative of 5/6*b**4 - 1/3*b**6 + 3*b + 0*b**2 + 2/3*b**3 + s - 1/5*b**5. Determine m so that h(m) = 0.
-1, -2/5, 0, 1
Let -288 - 913*v + 752*v**4 + 32*v**5 - 5042*