*h**3 + 0 + 7/2*h**x + 0*h = 0?
-2/3, 0, 7
Factor -5833882*x**4 - 18*x**2 + 5833885*x**4 - 84*x**2 - 27*x**3 - 72*x.
3*x*(x - 12)*(x + 1)*(x + 2)
Let c(k) be the first derivative of -232/3*k**3 + 0*k + 32 - 12*k**2 + 27*k**6 - 252/5*k**5 - 311/2*k**4. Solve c(z) = 0 for z.
-1, -2/9, 0, 3
Let f be (3 - (-4 + 7))/1. Suppose f = 4*g - 9*g. Let 32/5*z**3 - 22/5*z**2 + g + 4/5*z - 14/5*z**4 = 0. What is z?
0, 2/7, 1
Let a(n) be the first derivative of 2*n**6/3 + 40*n**5 + 572*n**4 - 5408*n**3/3 - 2290. Factor a(l).
4*l**2*(l - 2)*(l + 26)**2
Let u(f) be the second derivative of -2*f**4/51 + 197*f**3/51 - 49*f**2/17 + 1523*f. Solve u(j) = 0 for j.
1/4, 49
Let n(g) = -16*g**3 + 60*g**2 + 16*g - 24. Let h(q) = 1. Let f = 412 - 411. Let z(l) = f*n(l) + 24*h(l). Factor z(b).
-4*b*(b - 4)*(4*b + 1)
Factor 240259 + d**4 + 321*d**2 - 239859 - 38*d**3 - 15*d + 775*d.
(d - 20)**2*(d + 1)**2
Let u(j) = -10*j**2 - 685*j + 665. Let o(a) = -7*a**2 - 682*a + 665. Let w(f) = -5*o(f) + 4*u(f). Solve w(b) = 0 for b.
1, 133
Let y = -118 - -119. Determine m, given that 4*m**2 - 3*m**2 - m + 0 - y + 5*m - 4*m**3 = 0.
-1, 1/4, 1
Let k be 12 - 2/2 - 1178/190. Determine c, given that 2/5*c**5 + 4/5*c**2 - 16/5 - k*c + 12/5*c**4 + 22/5*c**3 = 0.
-2, -1, 1
Let z(p) be the third derivative of -p**7/210 - 37*p**6/120 - 6*p**5 - 99*p**4/2 - 144*p**3 + 41*p**2 + 5. Factor z(r).
-(r + 1)*(r + 6)**2*(r + 24)
Factor 157*a**4 - 60*a**2 + 150*a**4 - 136*a + 72*a**3 - 311*a**4.
-4*a*(a - 17)*(a - 2)*(a + 1)
Let t = 36377 + -145503/4. Let v(z) be the first derivative of z + 5/4*z**4 - t*z**2 - z**5 + 44 + 0*z**3 + 1/4*z**6. Let v(w) = 0. What is w?
-2/3, 1
Let p = 577 - 571. Find n, given that p*n**4 + 1 - 6 - 34*n**3 + 10*n**5 - 3188*n**2 + 3190*n**2 + 24*n - 3 = 0.
-2, -1, 2/5, 1
Let n(r) be the third derivative of -r**6/8 - 21*r**5/5 + 89*r**4/8 + 1600*r**2. Solve n(h) = 0 for h.
-89/5, 0, 1
Let -2/3*b**4 - 70/3*b**3 - 960 - 1216*b - 836/3*b**2 = 0. Calculate b.
-12, -10, -1
Let h(j) = -5*j**2 - 7906*j + 21. Let o(t) = -t**2 - 2636*t + 6. Let d(s) = -2*h(s) + 7*o(s). Factor d(w).
3*w*(w - 880)
Let q(y) be the second derivative of -y**4/96 + 100*y**3 - 360000*y**2 - 6041*y. Factor q(w).
-(w - 2400)**2/8
Let z be 12 + 2608/4800*-22. Let v(y) be the second derivative of -1/60*y**4 + 0*y**3 - 1/50*y**5 + z*y**6 + 34*y - 2/105*y**7 + 0*y**2 + 0. Factor v(w).
-w**2*(w - 1)**2*(4*w + 1)/5
Let a(z) be the second derivative of -z**7/147 - 9*z**6/35 - 67*z**5/70 + 41*z**4/14 + 68*z**3/21 - 96*z**2/7 - 8*z - 73. Find w, given that a(w) = 0.
-24, -4, -1, 1
Let f(q) be the second derivative of 0 - 7/24*q**3 - 3/8*q**2 - 6*q - 1/80*q**5 - 5/48*q**4. Factor f(r).
-(r + 1)**2*(r + 3)/4
Let q(y) be the second derivative of -32*y**7/7 - 168*y**6 - 1437*y**5/5 + 2077*y**4/4 - 573*y**3/2 + 75*y**2 - 7917*y. Find b such that q(b) = 0.
-25, -2, 1/4
Let y(a) = 0 - 67*a**2 + 1 + 4*a - 9 + 68*a**2. Let j be y(-6). Solve -4*p**5 - 2*p**j + 7*p**3 - 89*p + 87*p + 2*p**2 - p**3 = 0 for p.
-1, 0, 1/2, 1
Suppose 18*y = 8*y - 2790. Let x = 279 + y. Let 8/9*g**2 - 4/9*g**5 - 8/9*g**4 + 4/9*g + 0*g**3 + x = 0. Calculate g.
-1, 0, 1
Let k(u) = -8*u**3 - 10*u**2 - 24*u - 7. Let o(n) = 9*n**3 + 9*n**2 + 24*n + 6. Suppose 4*c - 9 = -33. Let v = 11 + c. Let h(p) = v*o(p) + 6*k(p). Factor h(t).
-3*(t + 1)*(t + 2)**2
Let o = -28 + 38. Suppose 0 = -5*f - 20, -6*f = -5*n - o*f + 4. Solve -408*v**4 + 20*v**2 - 15*v + 408*v**4 + v**5 - 10*v**3 + n = 0 for v.
-4, 1
Factor 67081/3 + 1/3*c**2 - 518/3*c.
(c - 259)**2/3
Let b be (-35)/14 - (-144)/32. Let v be -6*9/324*-4. Factor 0*j + 0 - v*j**4 - 5/6*j**3 - 1/6*j**b.
-j**2*(j + 1)*(4*j + 1)/6
Let k(t) be the second derivative of t**5/40 + 19*t**4/8 - 5*t + 45. Solve k(q) = 0 for q.
-57, 0
Let r(u) = -u**2 + 74*u + 231. Let m be r(77). Let z(g) be the second derivative of 2/51*g**3 + 0 - 1/34*g**5 + m*g**2 + 4*g - 1/34*g**4. Solve z(s) = 0.
-1, 0, 2/5
Let k(y) be the second derivative of y**5/40 + 5*y**4/24 + y**3/6 - 2*y**2 - y + 1275. Factor k(u).
(u - 1)*(u + 2)*(u + 4)/2
Let a(y) be the second derivative of y**4/3 - 104*y**3/3 - 448*y**2 - 2*y + 197. Factor a(n).
4*(n - 56)*(n + 4)
Let x(r) = -26*r**2 - 294*r - 584. Let a(c) = 21*c**2 + 293*c + 582. Let l(s) = -5*a(s) - 4*x(s). Factor l(u).
-(u + 2)*(u + 287)
Let d = 2186/339 - 126/113. Let x(z) be the second derivative of d*z**3 - 11*z + 0 - 5/3*z**4 - 8*z**2 + 1/5*z**5. Factor x(j).
4*(j - 2)**2*(j - 1)
Suppose 0 - 14*z + 1/5*z**2 = 0. What is z?
0, 70
Let m = -6 + 14. Suppose -m*l**2 + 23*l**3 + 14*l**3 + l**5 + 3*l**5 + 8*l**4 - 41*l**3 = 0. Calculate l.
-2, -1, 0, 1
Let w(j) be the third derivative of 0 + 1/105*j**7 + 0*j - 1/60*j**6 - 7/10*j**5 + 1/12*j**4 + 20/3*j**3 + 58*j**2. Suppose w(m) = 0. What is m?
-4, -1, 1, 5
Let l = -13639 + 13639. Let f(w) be the third derivative of -1/102*w**4 + 0*w - 1/510*w**5 + l*w**3 - 21*w**2 + 0. Factor f(r).
-2*r*(r + 2)/17
Suppose 3*g - 28 = -19. Let v(h) be the first derivative of 0*h**2 - 12 + 0*h - 4/27*h**g - 1/9*h**4. Let v(o) = 0. Calculate o.
-1, 0
Solve 0 - 54*q**2 + 267/2*q**4 - 5/2*q**5 + 82*q**3 + 0*q = 0 for q.
-1, 0, 2/5, 54
Let g(d) be the first derivative of -10*d**3/3 - 33*d**2 - 132*d + 17. Let w(m) = -2*m**2 - 13*m - 26. Let n(r) = -6*g(r) + 28*w(r). Factor n(v).
4*(v + 4)**2
Let d = -665 - -675. Suppose 0*m + 8 = -4*m - 4*l, -3*l = m + d. Let -10/9*c**m + 0 - 8/9*c**4 - 16/9*c**3 - 2/9*c = 0. Calculate c.
-1, -1/2, 0
Factor 0 + 0*t + 1/2*t**5 + 9*t**3 + 0*t**2 + 19/2*t**4.
t**3*(t + 1)*(t + 18)/2
Determine r, given that 80/3*r + 76/3 + 23/3*r**2 + 1/3*r**3 = 0.
-19, -2
Find p, given that 4279*p**2 - 2098*p + 2936*p**2 - 7220 + 2478*p + 5*p**4 + 0*p**4 - 380*p**3 = 0.
-1, 1, 38
Let u be ((2/4)/((-2)/(-292)))/1. Let n = u + -73. Factor -3/4*a + 1/4*a**2 + n.
a*(a - 3)/4
Let z(d) = 3*d + 30 + 7 + 19. Let o be z(-17). Let -c**5 - 43*c + 33*c + 15*c**3 - 4*c**4 - 4*c**o + 5*c**2 - c**4 = 0. What is c?
-2, -1, 0, 1
Let n(w) be the third derivative of -5*w**6/144 + 47*w**5/6 - 187*w**4/12 + 112*w**3/9 - w**2 + 315*w. Factor n(o).
-(o - 112)*(5*o - 2)**2/6
Let r(j) = -2*j + 19. Let z(v) = -3*v + 19. Let i(g) = 4*r(g) - 3*z(g). Let u be i(-11). What is b in 49 + u*b**2 - 3*b**2 + 15*b - 39 = 0?
-2, -1
Let s = 336 - 344. Let o be (s/(-14))/(4*15/42). Factor 0 + 2/5*u**3 + o*u**2 - 4/5*u.
2*u*(u - 1)*(u + 2)/5
Let g(b) be the first derivative of -54 - 9/5*b - 11/15*b**3 - 1/20*b**4 - 19/10*b**2. Factor g(h).
-(h + 1)**2*(h + 9)/5
Let z = -7 + 10. Determine x, given that 22*x - 4*x**3 + x**3 - z*x**4 - 22*x = 0.
-1, 0
Let o(l) = -270*l**2 - 81955*l + 24037720. Let f(w) = 19*w**2 + 5854*w - 1716980. Let h(t) = -85*f(t) - 6*o(t). What is n in h(n) = 0?
586
Let o(b) be the first derivative of 3*b**5/10 + 35*b**4/6 + 32*b**3 - 36*b**2 - 18*b - 62. Let w(l) be the first derivative of o(l). Factor w(p).
2*(p + 6)**2*(3*p - 1)
Let k be 230/24*78/(-150) + -41 + 46. Let o(h) be the third derivative of 0*h**3 + 0 - k*h**5 + 1/96*h**4 + 0*h - 18*h**2 + 1/96*h**6 - 1/420*h**7. Factor o(g).
-g*(g - 1)**2*(2*g - 1)/4
Let o(i) be the third derivative of i**6/30 - 14*i**5/5 + 66*i**4 - 720*i**3 + i**2 - 2*i + 1540. Suppose o(l) = 0. What is l?
6, 30
Let k(a) be the first derivative of -a**5/510 - 5*a**4/34 - 75*a**3/17 - 27*a**2/2 - 60. Let q(n) be the second derivative of k(n). Factor q(h).
-2*(h + 15)**2/17
Let x be (512380/561)/(240/45). Solve -x*d + 225/2 + 15/4*d**2 = 0.
2/3, 45
What is a in -29*a**5 + 15*a**4 + 14*a**5 - 6*a**4 + 12*a**5 - 6*a**4 - 318*a**2 + 315 - 123*a + 126*a**3 = 0?
-7, -1, 1, 3, 5
Suppose 0 = -23*c + 12*c + 16*c + 97*c. Suppose 0*t + c - 8/5*t**2 + 2/5*t**3 = 0. Calculate t.
0, 4
Let c(a) be the first derivative of a**6/105 + 3*a**5/70 + a**4/21 + 16*a + 122. Let j(k) be the first derivative of c(k). Factor j(b).
2*b**2*(b + 1)*(b + 2)/7
Suppose 0 = -5*i - x + 13, 4*i + 10*x - 13*x + 1 = 0. Let u(q) be the first derivative of 12/5*q + 3/20*q**4 + 18 + 27/10*q**i + 6/5*q**3. Factor u(v).
3*(v + 1)**2*(v + 4)/5
Suppose 108 = -t - 8*t. Let w be t/(-28) - 47/(-21). Factor 4/3 + 1/3*l**2 - w*l + l**3.
(l - 1)*(l + 2)*(3*l - 2)/3
Let w(o) be the third derivative of -o**5/60 + 89*o**4/24 - 43*o**3 - 10980*o**2. Factor w(b).
-(b - 86)*(b - 3)
Suppose -3*q = 2*o - 94