q) = 0. Calculate q.
-1, 0, 1
Factor -24 + 0*d**4 + 1/3*d**5 + 20*d - 5*d**3 + 10/3*d**2.
(d - 2)**3*(d + 3)**2/3
Suppose -5*a = -20 + 5. Factor -a*i**2 + i**4 - i**3 - 2*i**2 + 6 + i - 4 + 2*i**2.
(i - 2)*(i - 1)*(i + 1)**2
Let h be -5 - (-145)/30 - -6. Let y = h - 31/6. Factor -2/9 + 2/3*w - y*w**2 + 2/9*w**3.
2*(w - 1)**3/9
Let u(l) be the first derivative of 3*l**4/10 - 8*l**3/15 - l**2/5 + 4*l/5 + 75. Factor u(x).
2*(x - 1)**2*(3*x + 2)/5
Find f, given that -f + 0*f + 0*f - 69 + f**2 + 67 = 0.
-1, 2
Let f = 314 + -5651/18. Let c(y) be the third derivative of 1/90*y**5 + f*y**4 + 0 + 0*y + 3*y**2 + 0*y**3. Suppose c(r) = 0. What is r?
-2, 0
Let g be (-2)/((-2)/3 + (-3)/9). Factor -13*a - a**3 + 16*a - g*a**3 - 6*a**2 + 6.
-3*(a - 1)*(a + 1)*(a + 2)
Let m(l) = -l**2 - 34*l - 273. Let s be m(-21). Factor v**3 + 1/4*v**4 + 0*v + 3/4*v**2 + s.
v**2*(v + 1)*(v + 3)/4
Let o be (2/4)/(11/220). Solve -o - 48*b - b**3 - 24*b**2 - 22 - 3*b**3 + 0*b**3 = 0 for b.
-2
Suppose 18 = 61*m - 60*m - 3*y, 3*y + 18 = -3*m. Find w, given that 0*w - 4/5*w**4 + 0 + m*w**2 + 0*w**3 = 0.
0
Let q(b) be the second derivative of -b**6/105 + 4*b**5/35 - 17*b**4/42 + 10*b**3/21 + 181*b. Solve q(p) = 0.
0, 1, 2, 5
Solve 2/9*y**3 - 22/9*y + 0 - 20/9*y**2 = 0.
-1, 0, 11
Suppose -k + 4*k = -5*l, l + 5*k = 22. Let q = l - -7. Determine t, given that q*t**4 + t**3 + 4*t**4 - 7*t**4 = 0.
-1, 0
Suppose -6*k - 17*k = -9*k. Let l(q) be the second derivative of -4/3*q**3 + 2*q + 0 + k*q**2 + 1/3*q**4. Suppose l(p) = 0. What is p?
0, 2
Let i(m) be the first derivative of -1/30*m**3 - 3/100*m**5 + 1/20*m**4 + 0*m**2 - 7*m + 1/150*m**6 - 6. Let d(a) be the first derivative of i(a). Factor d(k).
k*(k - 1)**3/5
Let a = 163804/5 - 32894. Let b = 134 + a. Factor b*r**2 + 0 + 2/5*r + 2/5*r**3.
2*r*(r + 1)**2/5
Let q(p) be the first derivative of 7/6*p**4 + 0*p**3 - 18 + 0*p + 2/5*p**5 - 4/3*p**2. Solve q(o) = 0.
-2, -1, 0, 2/3
Suppose -2 + 4 = k. Determine c so that 39*c**4 + 2*c + 6*c**5 - 10*c**2 - 5*c**4 + 68*c**3 + 14*c + 66*c**k = 0.
-2, -1, -2/3, 0
Let m(u) be the second derivative of u**7/105 - 4*u**6/75 + 2*u**5/25 + u**4/15 - u**3/3 + 2*u**2/5 - 67*u. Factor m(p).
2*(p - 2)*(p - 1)**3*(p + 1)/5
Let z be 30/(-9)*-3 - ((-1820)/20)/(-13). Suppose -9/4*k + 6*k**2 + 45/4*k**z + 0 + 3*k**4 = 0. Calculate k.
-3, -1, 0, 1/4
Let j(v) be the second derivative of v**7/6 + 11*v**6/30 + 8*v**5/35 + v**4/21 - 34*v. Suppose j(k) = 0. Calculate k.
-1, -2/7, 0
Let a = 77 + -63. Suppose 13*z = a*z. Let 0 - 6/7*d**3 + z*d - 2/7*d**2 - 6/7*d**4 - 2/7*d**5 = 0. Calculate d.
-1, 0
Suppose -2*s - 40 = -12*s. Let z(x) = -6*x**4 - x**2 + 7*x. Let c(y) = 3*y**4 + y**2 - 4*y. Let v(p) = s*z(p) + 7*c(p). Let v(i) = 0. What is i?
-1, 0, 1
Suppose 0 = i - 3*p - 12, 3*i + 9 = -2*p + 12. Let r(d) be the first derivative of i + 0*d + 0*d**2 + 1/3*d**3. Factor r(y).
y**2
Let w be (-55)/44 - ((-156)/(-16))/(-3). Solve 2/7*u + 0 - 2/7*u**w = 0.
0, 1
Suppose 4*r**3 - 4/5*r**4 + 6/5*r + 23/5*r**2 + 0 = 0. What is r?
-1/2, 0, 6
Factor -2/9*n**5 + 0*n + 4/3*n**4 - 2*n**3 + 0*n**2 + 0.
-2*n**3*(n - 3)**2/9
Let a(y) be the first derivative of y**3/3 - y**2/2 + 33. Solve a(d) = 0.
0, 1
Let y(c) be the first derivative of -2*c**5/15 + c**4/2 + 4*c**3/9 - 4*c**2 + 16*c/3 - 82. Find z, given that y(z) = 0.
-2, 1, 2
Let p(j) be the second derivative of -j**5/10 + 7*j**4/6 - 14*j**3/3 + 8*j**2 + j + 2. Factor p(d).
-2*(d - 4)*(d - 2)*(d - 1)
Find r, given that -1/3*r**3 + 20 + 67/3*r + 2*r**2 = 0.
-5, -1, 12
Let a(w) = -6*w**2 + 134*w + 57. Let y(l) = -3*l**2 + 66*l + 29. Let s(o) = -4*a(o) + 7*y(o). What is m in s(m) = 0?
-1/3, 25
Let j(q) = -9*q**2 + 23*q - 30. Let k(a) = -47*a**2 + 114*a - 150. Let r(p) = -11*j(p) + 2*k(p). Determine h, given that r(h) = 0.
2, 3
Let b be (-8)/18 - (-7)/((-504)/(-176)). Let u(l) be the second derivative of b*l**3 - 1/3*l**4 + 0 + 3*l + 0*l**2. Find n such that u(n) = 0.
0, 3
Let d(q) = q**3 + 11*q**2 - 53*q - 151. Let f be d(-14). Let m be ((-6)/(-14))/((-3)/(-4)). Factor -2/7*c**2 - 2/7*c**4 + m*c**f + 0 + 0*c.
-2*c**2*(c - 1)**2/7
What is s in -s**2 - s**2 + 2*s**4 - 4*s**3 - 753*s - 759*s + 1516*s = 0?
-1, 0, 1, 2
Let w = -95 + 99. Suppose -w*j - j = 2*j. Factor j + 2/9*l**2 + 2/9*l.
2*l*(l + 1)/9
Let v(h) = 112*h - 782. Let o be v(7). Factor -2/19 - 2/19*i**o - 4/19*i.
-2*(i + 1)**2/19
Let b(z) = -z**2 + 11*z + 5. Let q be b(11). Suppose -2*l + q*l = 21. Factor 4*w + 2*w**2 + l*w - 7*w.
2*w*(w + 2)
Let c = -2980 + 2983. What is a in -3/4*a**2 + 3 - c*a + 3/4*a**3 = 0?
-2, 1, 2
Let n(i) = -72*i**2 + 792*i + 4. Let w be n(11). Factor 3/5*j**w - 3/5*j + 2/5*j**3 + 1/5*j**5 - 2/5*j**2 - 1/5.
(j - 1)*(j + 1)**4/5
Let p(y) be the second derivative of 0 + 1/24*y**4 + 0*y**2 - 12*y + 1/120*y**5 + 1/18*y**3. Factor p(v).
v*(v + 1)*(v + 2)/6
Let f(d) be the second derivative of -2*d**7/105 - 3*d**6/40 - d**5/10 - d**4/24 - d**2 + 9*d. Let k(z) be the first derivative of f(z). Factor k(r).
-r*(r + 1)**2*(4*r + 1)
Let d = -3584 + 3586. Determine f so that -2 - 5/2*f - 1/2*f**d = 0.
-4, -1
Suppose 5*b - 5*n = -5, 0 = -b - 3*b - 4*n + 20. Let w be 1 - 4 - 5/(b - 3). Find l such that -2/13 + 2/13*l**w + 0*l = 0.
-1, 1
Suppose 5*y - 6*y = -242. Factor -6*o**2 + y + 2*o**4 - 8*o - 2*o + 2*o**3 - 246.
2*(o - 2)*(o + 1)**3
Factor -2/5*m**2 + 356/5*m - 15842/5.
-2*(m - 89)**2/5
Let m(x) = -x**2 + 2*x. Let f(o) = 2*o**2 + 5*o + 6. Let u(h) = f(h) + m(h). Suppose u(d) = 0. Calculate d.
-6, -1
Let x(n) be the third derivative of -n**10/226800 + n**8/50400 - 5*n**4/8 + 5*n**2. Let g(o) be the second derivative of x(o). Factor g(m).
-2*m**3*(m - 1)*(m + 1)/15
Solve 21/2*s - 1/4*s**2 - 441/4 = 0.
21
Let x be ((-9162)/35630)/(-1 + 59/60). Let 3/7*v**4 - 48/7*v - 33/7*v**3 + x*v**2 - 192/7 = 0. What is v?
-1, 4
Let c be 1/(-18)*(-18)/8. Let w(o) be the second derivative of 0 + 21/80*o**5 - 3/8*o**4 + 3/20*o**6 + 5*o - 1/7*o**7 + 0*o**2 + c*o**3. Solve w(s) = 0 for s.
-1, 0, 1/4, 1/2, 1
Let o(a) be the first derivative of 0*a**3 + 7 - 1/33*a**6 + 0*a**2 + 0*a + 2/55*a**5 + 0*a**4. Factor o(y).
-2*y**4*(y - 1)/11
Let x(r) be the third derivative of r**5/210 + r**4/21 + 4*r**3/21 + 158*r**2. Factor x(b).
2*(b + 2)**2/7
Let u be (-26)/(-4) + (-14 - (6 + -16)). Suppose -1/2*n**3 + 1 + 2*n**2 - u*n = 0. Calculate n.
1, 2
Let h = 78 - 73. Solve 89*i**4 - i**3 + i**h - 91*i**4 + 2*i**3 = 0 for i.
0, 1
Solve 128*d**2 - 2*d + 68*d - 125*d**2 = 0.
-22, 0
Let l be ((-15)/(-20) + 0)/(12/64). Let f(a) be the first derivative of -2 + 5*a**3 + 12*a**2 + 12*a + 3/4*a**l. What is h in f(h) = 0?
-2, -1
Suppose 22*j = 21*j + 4*s - 4, 4 = -4*j + 4*s. Let n(h) be the third derivative of 0*h + 1/48*h**4 + j - h**2 + 0*h**5 - 1/240*h**6 + 0*h**3. Factor n(f).
-f*(f - 1)*(f + 1)/2
Let q(a) = 8*a**2 + 10*a + 16. Let c(v) = -v**2 - 1. Suppose 78 = -2*s - 2*k, 2*k - 5 - 57 = 2*s. Let p(r) = s*c(r) - 5*q(r). Determine t, given that p(t) = 0.
-9, -1
Let x be 2 + (11 - 9) + ((-2)/2 - -1). Let 12/5*t**2 + 0 - 3/5*t**5 - 18/5*t**3 - 3/5*t + 12/5*t**x = 0. What is t?
0, 1
Let c(z) = 8*z**4 + 38*z**3 + 33*z**2 + 17*z + 3. Let a(l) = l**3. Let i(y) = 22*a(y) - 2*c(y). Let i(r) = 0. What is r?
-1, -3/8
Let s(z) be the second derivative of -z**6/165 + 37*z**5/55 - 131*z**4/6 + 888*z**3/11 - 1296*z**2/11 + 285*z. Determine w so that s(w) = 0.
1, 36
Determine k, given that 23*k**5 + 27*k**2 - 39*k**5 + 21*k**4 - 62*k**3 + 11*k**3 + 19*k**5 = 0.
-9, 0, 1
Let q(g) = g**3 - g**2 + g + 3. Suppose -22 + 2 = -5*p. Let m(k) = -2*k**3 + 2*k**2 - 4. Let u(y) = p*q(y) + 3*m(y). Factor u(l).
-2*l*(l - 2)*(l + 1)
Let n(x) be the first derivative of -x**4/10 - 12*x**3/5 - 32*x**2/5 - 336. Factor n(j).
-2*j*(j + 2)*(j + 16)/5
Let r = 2867/2 + -1429. Let j(i) be the first derivative of -r*i**4 + 1/2*i**6 + 9*i - 33/2*i**2 - 3/5*i**5 - 1 + 14*i**3. Factor j(q).
3*(q - 1)**4*(q + 3)
Let x(n) be the second derivative of -n**6/60 - 35*n. Find m such that x(m) = 0.
0
Let g(z) be the third derivative of z**9/3780 - z**8/840 - z**7/90 - z**6/45 - 5*z**4/4 + 36*z**2. Let w(r) be the second derivative of g(r). Factor w(s).
4*s*(s - 4)*(s + 1)**2
Let k(r) = 12*r**2 + 73*r + 83. Let z(b) = 4*b**2 + 24*b + 28. Let x(f) = 4*k(f) - 11*z(f). Factor x(p).
4*(p + 1)*(p + 6)
Let g