t(z). Solve y(c) = 0 for c.
-347, -1, 1
Let l(b) be the third derivative of -b**5/60 + 376*b**4/3 - 1131008*b**3/3 - 2*b**2 + 177*b - 1. Let l(w) = 0. Calculate w.
1504
Let c be 24/(-18) - (-49)/3. Factor 5*b - c*b - 9 + 3*b**2 + 1 - 5*b**2.
-2*(b + 1)*(b + 4)
Let a = 1242466/11 - 112950. Factor -10/11*u**2 - 4/11*u - 2/11*u**3 + a.
-2*(u - 1)*(u + 2)*(u + 4)/11
Let b = -165 + 169. Let 85*m**4 - 2206*m**2 - 89*m**b - 1250*m**2 - 15926*m - 192*m**3 - 82944 - 11722*m = 0. What is m?
-12
Suppose -2*c + c = 5*t - 52, c = 2*t - 18. Let y be (-7)/28*t*(-4)/5. What is a in -3*a - 18*a**2 + 15*a**y + 6*a = 0?
0, 1
Let f(b) = 5*b**5 - 287*b**4 + 3*b**3 - 18*b + 3. Let i(w) = -3*w**5 + 288*w**4 - 2*w**3 + 12*w - 2. Let j(d) = -2*f(d) - 3*i(d). Let j(l) = 0. Calculate l.
-290, 0
Suppose -16*y - 63 = -79. Let d be y/(35*9/90). Suppose 0 - 50/7*j + 20/7*j**2 - d*j**3 = 0. What is j?
0, 5
Let m be 2 - ((-2)/20 - (-127)/(-5)). Let o = -157/6 + m. Factor 0*v + o - 1/3*v**2.
-(v - 2)*(v + 2)/3
Suppose 5*a - 5*s = 0, 2*a + 5*s - 12 - 9 = 0. Determine v, given that -191*v**4 + 20*v**a + 196*v**4 - 5*v**3 = 0.
-3, 0
Let c = -117 + 119. What is v in 2*v**2 - 641 + 4*v**c - 8*v**2 - 2*v + 191 + 62*v = 0?
15
Let d = 48 + -35. Find h, given that -133*h**4 - 119*h**5 - 36*h**2 + d*h**4 + 14*h**5 - 123*h**4 + 204*h**3 = 0.
-3, 0, 2/7, 2/5
What is j in 740/3*j - 100 + 35/3*j**2 - 25/3*j**3 = 0?
-5, 2/5, 6
Let l(r) be the second derivative of -r**6/60 - 9*r**5/40 + 21*r**4/8 - 95*r**3/12 + 21*r**2/2 + 2*r + 353. Suppose l(n) = 0. Calculate n.
-14, 1, 3
Factor 0 - 3/2*y**5 + 0*y - 12*y**4 + 75*y**2 - 15/2*y**3.
-3*y**2*(y - 2)*(y + 5)**2/2
Let z(g) be the second derivative of g**5/50 - 73*g**3/15 - 72*g**2/5 - 6399*g. Factor z(x).
2*(x - 9)*(x + 1)*(x + 8)/5
Suppose 52*p + 61*p = 119*p. Factor 1/4*c**5 + p*c**2 + 0*c + 0 + c**3 + c**4.
c**3*(c + 2)**2/4
Let n(i) be the third derivative of -i**7/5040 + i**6/1440 + i**4/24 + 55*i**3/6 + i**2 + 14*i. Let m(b) be the second derivative of n(b). Factor m(d).
-d*(d - 1)/2
Let p be 2*(-2)/46 + 326655/126270. Suppose p*n**3 + 25/2*n + 125 - 20*n**2 = 0. What is n?
-2, 5
Let c = -276 - -275. Let z be (7 - 156/18)*c. Factor 8/3*i - z*i**2 - 4/3 + 1/3*i**3.
(i - 2)**2*(i - 1)/3
Let p(w) = -2*w**4 + 25*w**3 - 69*w**2 + 14*w + 109. Let h(m) = -m**4 + 2*m**3 - 5*m - 1. Let j(c) = h(c) + p(c). Factor j(n).
-3*(n - 4)*(n - 3)**2*(n + 1)
Let d(i) = -8*i + 52. Let r be d(6). Factor -15*m + 46*m + r*m**2 + 56 + 29*m.
4*(m + 1)*(m + 14)
Factor 4993*t**2 + 5*t**3 - 20*t - 2497*t**2 - 2496*t**2.
5*t*(t - 2)*(t + 2)
Let h be 12/(-3) - 16*2. Let g be (-3)/12 - h/16. Find n such that 3*n**g + 5*n - 5*n + 6 - 9 = 0.
-1, 1
Let i(m) be the first derivative of 5*m**4/4 - 70*m**3/3 + 215*m**2/2 - 150*m + 187. Determine r, given that i(r) = 0.
1, 3, 10
Find z such that 0 + 128/9*z**3 + 536/9*z**2 - 2/3*z**5 - 46/9*z**4 + 32*z = 0.
-9, -2, -2/3, 0, 4
Let i(f) be the first derivative of -f**5/15 + f**4/4 - 2*f**3/9 + 275. Solve i(j) = 0.
0, 1, 2
Let b(f) = 62*f**2 + 568*f + 10. Let x(c) = -20*c**2 - 190*c - 2. Let t(p) = -3*b(p) - 8*x(p). Let t(o) = 0. Calculate o.
-7, -1/13
Suppose 17*q - 42 = -8. Factor 6*n**2 - 19*n**2 - 12 + 19*n**q + 14*n.
2*(n + 3)*(3*n - 2)
Let n be 1*-9 + (-48)/(-16). Let r be (-4)/(-8)*n*-1. Let u(h) = 3*h**2 - 3*h + 3. Let q(a) = -a**3 + 4*a**2 - 3*a + 2. Let d(m) = r*q(m) - 2*u(m). Factor d(k).
-3*k*(k - 1)**2
Let l(q) be the first derivative of -q**5/180 + 5*q**4/18 + 43*q**2/2 + 105. Let m(b) be the second derivative of l(b). What is h in m(h) = 0?
0, 20
Suppose 2*m - 7 = -2*a + 9, -20 = -4*m - a. Suppose -n = -3*s - 11, 0 = -3*n - 3*s + m*s + 9. Factor 0 + 6/7*q**3 + 3/7*q**n + 0*q + 3/7*q**4.
3*q**2*(q + 1)**2/7
Let h(p) be the first derivative of -p**3/27 - 13*p**2/6 + 676*p/9 + 4578. Factor h(g).
-(g - 13)*(g + 52)/9
Let p(j) = -16*j - 7*j**2 + 16*j**2 + 15*j - 8*j**2 + 1. Let c(n) = -6*n**4 + 3*n**3 + 20*n**2 + n - 4. Let v(m) = -c(m) + 2*p(m). Factor v(i).
3*(i - 2)*(i + 1)**2*(2*i - 1)
Let m be -995*4/(-1520) - (-141)/188. Factor -m - 8/19*f**2 - 2/19*f**3 + 56/19*f.
-2*(f - 2)**2*(f + 8)/19
Let s = 14 - -12. Let u = s + 9. Factor -114*a**2 + 221*a**2 - 117*a**2 + u*a**3.
5*a**2*(7*a - 2)
Let c(h) be the first derivative of 70 - 2/21*h**3 - 288/7*h - 24/7*h**2. Factor c(v).
-2*(v + 12)**2/7
Let q = -22 + 19. Let u(f) = -f**3 + 28*f + 27. Let g(a) = 2*a**3 - 28*a - 26. Let l(b) = q*g(b) - 2*u(b). Factor l(p).
-4*(p - 3)*(p + 1)*(p + 2)
Let s(b) be the third derivative of -b**5/60 + 119*b**4/8 - 2832*b**2. Solve s(q) = 0 for q.
0, 357
Suppose 4*h = 2*q - 228, 5*h + q + 179 = -106. Let i = -53 - h. Let -12*x**2 + 25*x**3 + i*x - 26*x**3 - 40*x + 0*x**2 = 0. What is x?
-6, 0
Factor -5*h**4 - 500*h - 237785*h**2 + 2*h**5 + 31*h**4 + 237735*h**2 + 90*h**3.
2*h*(h - 2)*(h + 5)**3
Let i be (21/(-84))/(5/10 + (0 - 1)). Let q(j) be the second derivative of 0*j**2 - 8*j + 1/2*j**4 + 0 + 3/20*j**5 + i*j**3. Factor q(c).
3*c*(c + 1)**2
Factor -484*v**2 + v**4 + 414*v + 2*v**4 + v**4 + 141*v - 107*v + 32*v**3.
4*v*(v - 7)*(v - 1)*(v + 16)
Suppose 2*i = 4, -4*c - 7 = 2*i + 1. Let g(p) = 10*p**2 + 28*p - 4. Let f be g(c). Factor -10/7*x**3 - 2*x**f + 0 - 2/7*x**4 - 6/7*x.
-2*x*(x + 1)**2*(x + 3)/7
Let m = -218 - -5237/24. Let j(b) be the second derivative of -4*b + 1/12*b**6 - m*b**3 + 0*b**5 + 5/168*b**7 + 0*b**2 + 0 - 5/24*b**4. Factor j(d).
5*d*(d - 1)*(d + 1)**3/4
Let j(a) be the second derivative of -34*a**7/21 + 58*a**6/15 + a**5 - 29*a**4/3 + 8*a**3 + 1345*a. Solve j(o) = 0 for o.
-1, 0, 12/17, 1
Let o(r) be the second derivative of -15*r**7/14 - 299*r**6/6 - 408*r**5 - 1390*r**4 - 6520*r**3/3 - 1080*r**2 - 1136*r. Let o(g) = 0. What is g?
-27, -2, -2/9
Let 121*w**2 + 0 + 33/4*w**3 + 1/4*w**5 + 0*w - 9/2*w**4 = 0. What is w?
-4, 0, 11
Let o(y) be the second derivative of -26/75*y**6 - y + 196/15*y**4 - 1/105*y**7 - 14/5*y**5 + 0*y**3 - 21 + 0*y**2. Factor o(a).
-2*a**2*(a - 2)*(a + 14)**2/5
Factor 952 - 7*i**3 + 660*i**2 + 4*i**3 - 786*i**2 - i**3 - 826*i**2 + 4*i.
-4*(i - 1)*(i + 1)*(i + 238)
Let o(z) be the first derivative of -2*z**3/3 - 181*z**2 - 716*z + 830. Factor o(i).
-2*(i + 2)*(i + 179)
Let r(w) be the third derivative of 127*w**2 + 0 - 5/96*w**4 + 7/240*w**5 - 1/240*w**6 - w + 0*w**3. Let r(j) = 0. What is j?
0, 1, 5/2
Suppose 3*z + 5*y - 84 = 8*y, -5*z + 4*y = -135. Suppose 103*n - 75*n**2 + 50*n - z*n + 5*n**4 - 60*n**3 = 0. Calculate n.
-2, 0, 1, 13
Find q, given that 600/7*q + 4/7*q**2 + 596/7 = 0.
-149, -1
Let l(r) = -4*r**2 - 736*r + 13. Let g(s) = -2*s**2 - 368*s + 6. Let d(b) = 13*g(b) - 6*l(b). Suppose d(f) = 0. What is f?
-184, 0
Let p(g) be the first derivative of g**6/36 - 11*g**5/20 - 7*g**4/6 - 53*g**3/3 - 49. Let n(s) be the third derivative of p(s). Factor n(o).
2*(o - 7)*(5*o + 2)
Let n = -47 + 49. What is y in 7*y**3 + 119*y - 17 - 6 + 1 - 67*y**n - y**3 + 4 = 0?
1/6, 2, 9
Let h(b) = -16*b**2 + 178*b + 90. Let i(v) = -15*v**2 - 3*v. Let p(r) = 4*r**2 + r - 1. Let s(y) = i(y) + 4*p(y). Let x(t) = -2*h(t) - 18*s(t). Factor x(m).
2*(m - 27)*(7*m + 2)
Let i = -24900 + 24900. Let u(l) be the third derivative of 0 - 1/180*l**6 + 7/36*l**4 + 21*l**2 + 0*l - 2/3*l**3 + i*l**5. Suppose u(b) = 0. Calculate b.
-3, 1, 2
Let r(j) be the third derivative of -j**5/240 - 949*j**4/48 - 900601*j**3/24 - 3481*j**2. Let r(y) = 0. Calculate y.
-949
Let z be 16/48*3*(-3 + 9790). Find v such that 9791*v**4 - z*v**4 - 12*v**5 + 4*v**5 = 0.
0, 1/2
Let t(x) = 37*x**3 + 469*x**2 - 4182*x - 1204. Let c(s) = 19*s**3 + 235*s**2 - 2088*s - 604. Let q(w) = -5*c(w) + 2*t(w). Solve q(r) = 0.
-17, -2/7, 6
Let m be ((-48)/(-20))/((-12)/(-520)). Suppose -4 = 5*g - m. Factor 15*i + 2*i**2 + g + 3*i**2 + i + 4*i.
5*(i + 2)**2
Let u(j) be the second derivative of 407*j**4/18 - j**3/18 - 728*j. What is b in u(b) = 0?
0, 1/814
Let f(n) be the third derivative of -n**8/840 - n**7/525 + 2*n**6/75 + 2*n**5/25 - 5*n**2 + 3. Factor f(b).
-2*b**2*(b - 3)*(b + 2)**2/5
Let p(h) = 2 + 79*h - 78*h + 0 - h**2. Let r(m) = -2*m**2 + m + 6. Let f(x) = 13*p(x) - 6*r(x). Solve f(q) = 0 for q.
2, 5
Let f(s) = s**3 - 19*s**2 + 24*s - 21. Let y be f(19). Let z = y + -433. Solve -10/23*m + 26/23*m**z - 2/23 - 14/23*m**3 = 0.
-1/7, 1
Let n(a) = -5*a - 32.