-16). Let x(h) be the third derivative of 0*h - 1/24*h**4 + 0 + 2*h**2 + 1/60*h**5 + y*h**3. Factor x(d).
d*(d - 1)
Let x = -1/120 - -5/24. Factor -1/5 + 2/5*z - x*z**2.
-(z - 1)**2/5
Suppose 10*m = 112 + 258. Factor 11 + m - 699*o + 663*o + 3*o**3.
3*(o - 2)**2*(o + 4)
Let 7*p - 6 - p**3 - p**4 + 0*p**4 + 0*p**4 + 3*p**2 - 2*p**3 = 0. What is p?
-3, -2, 1
Let r(y) = y**3 - 3*y**2 - 8*y + 28. Let m(v) = -2*v**3 + 7*v**2 + 14*v - 58. Let u(p) = -4*m(p) - 9*r(p). Solve u(j) = 0.
-5, 2
Let n = -14229 + 14232. Factor 3/4*w**2 + 3/4*w - 3/4 - 3/4*w**n.
-3*(w - 1)**2*(w + 1)/4
Let n(c) = -2*c**2 + c + 3. Let j(d) = 19*d**2 - 8*d**2 + d - 7*d - 17. Let y(i) = -6*j(i) - 34*n(i). Suppose y(q) = 0. What is q?
-1, 0
Let t(f) be the second derivative of f**7/21 - 47*f**6/30 + 53*f**5/5 + 371*f**4/6 + 325*f**3/3 + 169*f**2/2 + 4*f - 45. Suppose t(j) = 0. What is j?
-1, -1/2, 13
Let q(n) = -5*n**3 + 363*n**2 - 6774*n - 1363. Let b(k) = -5*k**3 + 365*k**2 - 6773*k - 1365. Let v(c) = 3*b(c) - 2*q(c). Find g such that v(g) = 0.
-1/5, 37
Factor 795/2*r**2 - 5/4*r**3 - 126405/4*r + 0.
-5*r*(r - 159)**2/4
Let c(g) = -g**4 + 16*g**3 + 63*g**2 + 151*g + 104. Let y(k) = -2*k**4 + 29*k**3 + 127*k**2 + 301*k + 208. Let v(f) = -5*c(f) + 3*y(f). Factor v(m).
-(m - 13)*(m + 2)**3
Let l be (-110)/33*36/(-10). Factor -9*o**4 + l*o**3 + 20*o**5 - 16*o**5 - 3*o**4 - 4*o**2.
4*o**2*(o - 1)**3
Let s(u) = 8*u + 11. Let j(i) = 7*i + 11. Let k(g) = -5*j(g) + 4*s(g). Let f be k(-5). Find m such that -14*m**4 + 4*m**3 - 6*m**f + 26*m**4 = 0.
-2/3, 0
Let r(k) = k**4 - 2*k**3 - 2*k**2. Let g(q) = -4*q**3 - q**2 - 3*q**3 + 6*q**3 - q. Let m(i) = 4*g(i) - 4*r(i). Let m(j) = 0. Calculate j.
-1, 0, 1
Let r = -8195 - -8197. Factor 3/2 + 5/2*j**r + 7/2*j + 1/2*j**3.
(j + 1)**2*(j + 3)/2
Factor -22*v + 57*v - 81*v**2 - v**4 + 40*v - 2*v**4 + 47*v**3 - 24 - 14*v**3.
-3*(v - 8)*(v - 1)**3
Let c(h) be the third derivative of 1/12*h**4 - 1/42*h**7 + 0*h**3 + 7*h**2 - 1/15*h**6 + 0 + 0*h - 1/60*h**5. Factor c(r).
-r*(r + 1)**2*(5*r - 2)
Let s be 173 - 163 - (1 + 6). Solve 0 - 2/5*m**2 + 0*m + 2/5*m**4 + 0*m**s = 0 for m.
-1, 0, 1
Let s(i) be the first derivative of 6 - 11/17*i**4 - 3/17*i**6 - 1/17*i**2 + 0*i + 48/85*i**5 + 16/51*i**3. What is u in s(u) = 0?
0, 1/3, 1
Let a be 0 + 2 - (-28)/(-16). Suppose q**2 - q**4 - a*q + 0 + 1/4*q**3 = 0. Calculate q.
-1, 0, 1/4, 1
Determine x, given that -1062*x**4 - 30 - 25*x**3 + 25*x - 1062*x**4 + 2129*x**4 + 25*x**2 = 0.
-1, 1, 2, 3
Suppose 2*f + 13 = t, 5*f = 3*t + 2*t - 45. Find m, given that 44*m**5 + 38*m**t - 77*m**5 - 5*m**4 = 0.
0, 1
Let n(h) be the third derivative of h**8/70560 - h**7/6615 + h**6/1890 - 11*h**4/24 + 7*h**2. Let o(k) be the second derivative of n(k). Factor o(m).
2*m*(m - 2)**2/21
Let i(s) = -s**2 - 6*s - 2. Let w be i(-5). Suppose h - 6 = -2*h. Suppose 16*u + w*u**h - u**2 - 14*u = 0. Calculate u.
-1, 0
Let u = 2325/26543 + 8/2413. Factor 4/11 - u*x**3 - 8/11*x + 5/11*x**2.
-(x - 2)**2*(x - 1)/11
Determine t, given that -3/2*t + 0 - 9/2*t**3 - 9/2*t**2 - 3/2*t**4 = 0.
-1, 0
Let v(i) be the first derivative of -i**6/14 - 9*i**5/35 - 9*i**4/28 - i**3/7 + 72. Factor v(m).
-3*m**2*(m + 1)**3/7
Let y(t) be the second derivative of -t**6/180 + 7*t**5/120 - 5*t**4/24 + 13*t**3/36 - t**2/3 + 20*t - 6. Factor y(i).
-(i - 4)*(i - 1)**3/6
Let k(j) be the second derivative of 1/21*j**2 + 1/42*j**4 + 0 - 8*j + 1/210*j**5 + 1/21*j**3. Suppose k(p) = 0. What is p?
-1
Let r(z) be the third derivative of z**11/110880 - z**9/20160 - 7*z**5/60 + 6*z**2. Let c(h) be the third derivative of r(h). Factor c(d).
3*d**3*(d - 1)*(d + 1)
What is d in 3*d**2 + 969 - 969 - 36*d + d**2 = 0?
0, 9
Let m be ((-42)/(-49))/(2/14). Let -7*i**4 - 3 + 10*i**4 - m*i**3 + 5*i + i = 0. What is i?
-1, 1
Let j(c) = 15*c**2 - 45*c + 37. Let w(n) be the second derivative of -5*n**4/6 + 5*n**3 - 25*n**2/2 - 3*n. Let q(t) = -5*j(t) - 7*w(t). What is z in q(z) = 0?
1, 2
Let n(a) be the third derivative of a**7/315 - a**6/60 - 8*a**2 + a. Factor n(s).
2*s**3*(s - 3)/3
Let t(w) be the third derivative of -w**8/1680 - w**7/280 - w**6/180 + w**3 - 15*w**2. Let m(c) be the first derivative of t(c). Factor m(b).
-b**2*(b + 1)*(b + 2)
Let i(r) be the second derivative of -2*r**7/147 + 8*r**6/105 - 4*r**5/35 - 2*r**4/21 + 10*r**3/21 - 4*r**2/7 + 12*r + 2. Determine q, given that i(q) = 0.
-1, 1, 2
Let n(j) = 3*j**3 - 60*j**2. Let o(b) = b**2. Let y(q) = n(q) - 15*o(q). Determine x, given that y(x) = 0.
0, 25
Let f(n) = -n**2 + 16*n + 184. Let g(q) = 4*q**2 - 44*q - 551. Let r(u) = 11*f(u) + 4*g(u). Solve r(h) = 0.
-6, 6
Let b(d) = 17 + 7*d + 5*d**2 - 26*d - 8 + 11. Let z(n) = -5*n**2 + 18*n - 20. Let y(v) = 7*b(v) + 6*z(v). Solve y(k) = 0.
1, 4
Let a = -14748 - -14751. Factor -1/8*u**4 - 3/4 + 3/8*u**2 - 7/8*u + 3/8*u**a.
-(u - 3)*(u - 2)*(u + 1)**2/8
Let z(h) = -35*h**4 - 45*h**3 + 410*h**2 + 55*h. Let p(o) = -35*o**4 - 46*o**3 + 409*o**2 + 54*o. Let a(n) = 5*p(n) - 6*z(n). Factor a(x).
5*x*(x - 3)*(x + 4)*(7*x + 1)
Suppose 4*q = 5*q - 5. Find h, given that q*h**3 + 30*h + 29*h - h**5 - 63*h = 0.
-2, -1, 0, 1, 2
Let g(l) be the first derivative of 5*l**6/18 - 52*l**5/15 + 15*l**4 - 254*l**3/9 + 151*l**2/6 - 10*l - 90. Solve g(f) = 0.
2/5, 1, 3, 5
Let r be (-725)/(-35) - (-6)/21. Let f = r - 13. Factor 8*z**5 - 2*z**5 - f*z**4 - 2*z**5 - 4*z + 8*z**2.
4*z*(z - 1)**3*(z + 1)
Suppose -18 = x - 4*a - 0, 3*x = -4*a + 26. Suppose 0 = 2*f + x, -4*d - 6*f + 7 = -f. What is u in 0 + 0 - 3*u**4 + 9*u**3 + d*u - 40*u**2 + 31*u**2 = 0?
0, 1
Let p(v) be the third derivative of 0*v**5 - 37*v**2 + 5/12*v**4 + 0 + 5/6*v**3 - 1/42*v**7 - 1/12*v**6 + 0*v. What is y in p(y) = 0?
-1, 1
Let a be ((-28)/28)/(3/4 + -1). Let o(j) be the second derivative of -1/70*j**6 - 1/294*j**7 + 4*j - 1/84*j**a - 3/140*j**5 + 0*j**2 + 0 + 0*j**3. Factor o(c).
-c**2*(c + 1)**3/7
Let w(o) be the second derivative of -o**4/6 + 3*o**3 - 8*o**2 + 2*o - 14. Factor w(m).
-2*(m - 8)*(m - 1)
Let l = 22 - 18. Factor -2*f**3 - f**5 + 9*f**4 - 2*f**5 - 3*f**l - f**3.
-3*f**3*(f - 1)**2
Let a(t) be the second derivative of 5/12*t**4 - 5 + t - 5*t**3 + 20*t**2. Let a(o) = 0. What is o?
2, 4
Let k(m) be the second derivative of m**7/4200 - m**6/900 - m**5/200 - m**3/6 + 17*m. Let x(w) be the second derivative of k(w). Factor x(l).
l*(l - 3)*(l + 1)/5
Let v(q) be the first derivative of -12/5*q - 1/5*q**3 + 6/5*q**2 - 11. Suppose v(c) = 0. What is c?
2
Determine x so that 248/11*x - 2/11*x**2 - 7688/11 = 0.
62
Suppose 2*z = -4*q - 0*z + 50, q + z = 13. Suppose 8*a + 8 = q*a. Factor 3*g**3 + g**5 - 6*g**5 + a*g**5.
-3*g**3*(g - 1)*(g + 1)
Factor -3/5*r**2 + 6*r - 72/5.
-3*(r - 6)*(r - 4)/5
Let t(w) be the first derivative of w**5/110 + 2*w**4/33 + 30*w + 27. Let v(u) be the first derivative of t(u). Suppose v(b) = 0. What is b?
-4, 0
Let t = -28 + 30. Solve 15 + 7*j**t - 18*j - 2*j - 2*j**2 = 0.
1, 3
Suppose l + 3*z = 8*z + 12, -z = -2*l + 6. Factor -3*n + 25*n + 8*n + 3*n**l + 75.
3*(n + 5)**2
Factor 20/3*p**2 + 16/3 + 2/3*p**3 + 34/3*p.
2*(p + 1)**2*(p + 8)/3
Let q = 38379/2 - 19189. What is h in q + 0*h - 1/2*h**2 = 0?
-1, 1
Let j be (-2)/(-21)*16464/294. Factor -4/3*u**2 + j*u - 16/3.
-4*(u - 2)**2/3
Let z = 101 + -102. Let n(s) = -6*s**3 - 10*s**2 + 10*s - 10. Let v(r) = -r**3 + r**2 + r - 1. Let b(p) = z*n(p) + 10*v(p). Suppose b(f) = 0. Calculate f.
0, 5
Let u(j) be the second derivative of j**6/45 - j**4/6 - 2*j**3/9 + 10*j. Determine i so that u(i) = 0.
-1, 0, 2
Let a(i) be the second derivative of 29*i + 1/12*i**4 + 0 - 7/3*i**3 + 49/2*i**2. Factor a(k).
(k - 7)**2
Find u, given that 9026 + 8843 - 18019 - 148*u**2 - 299*u + u**3 = 0.
-1, 150
Suppose 5 = -q, -5*s - 4*q = -6 + 16. Suppose f = -s*f + 12. Let -3*a**f - 4*a + 5*a - 2*a + 3*a**3 - 2*a + 3*a**2 = 0. Calculate a.
-1, 0, 1
What is u in 0 + 2/5*u**2 + 2/15*u**5 - 4/15*u - 2/5*u**4 + 2/15*u**3 = 0?
-1, 0, 1, 2
Determine d so that 2797*d - 916*d - 108 - 926*d - 924*d - d**2 = 0.
4, 27
Let d(y) be the third derivative of -y**6/200 - y**5/10 + 3*y**4/5 - 637*y**2. Factor d(p).
-3*p*(p - 2)*(p + 12)/5
Let 51/5*x**2 + 48/5*x + 0 + 3/5*x**3 = 0. What is x?
-16, -1, 0
Let a be 13 + (-3351)/351 - (-2)/(-9). Determine b, given that -32/13*b + 8/13 - 18/13*b**3 + a*b**2 = 0