) = 0. Calculate n.
-1, 0
Factor 0 + 4/7*x**2 - 6/7*x**3 + 2/7*x**5 + 0*x + 0*x**4.
2*x**2*(x - 1)**2*(x + 2)/7
Let o = -8828/11 - -808. Factor o*j - 6/11*j**2 - 150/11.
-6*(j - 5)**2/11
Let b be -3 - 5/((-175)/112). Let n be (5 - (-76)/(-20))/(3/5). Determine t, given that 0*t + 0 - b*t**n = 0.
0
Let x(g) = 93*g + 2139. Let t be x(-23). Determine u so that t*u - 10/17*u**2 + 0 - 2/17*u**3 = 0.
-5, 0
Let g = 1126 - 1126. Let f(l) be the first derivative of g*l**2 - 1/2*l**4 + 1 - 2/15*l**3 - 1/5*l**6 - 14/25*l**5 + 0*l. Factor f(d).
-2*d**2*(d + 1)**2*(3*d + 1)/5
Let k be (4/(-34) - (-15624)/5355)*1. Factor -k*x + 4/5*x**2 + 8/5 + 2/5*x**3.
2*(x - 1)**2*(x + 4)/5
Let z be ((-2)/5)/(92/24 + -3). Let d = 22/25 + z. Let d*h**2 + 4/5*h**3 + 0 + 2/5*h**4 + 0*h = 0. Calculate h.
-1, 0
Let q(w) = -2*w**2 + 14 - w**2 - 14 + 3*w. Let l(p) be the first derivative of p**2/2 - p - 3. Let x(f) = 3*l(f) - q(f). Factor x(r).
3*(r - 1)*(r + 1)
Factor -123 + 3*h**2 - 30*h - 43*h + 193*h.
3*(h - 1)*(h + 41)
Let c(v) be the first derivative of -1/15*v**3 + 0*v + 13 + 3/20*v**4 + 0*v**2 - 3/25*v**5 + 1/30*v**6. Factor c(s).
s**2*(s - 1)**3/5
Let g(q) be the third derivative of -q**8/1176 - q**7/735 + q**6/70 + q**5/15 + 11*q**4/84 + q**3/7 - q**2 - 37. Factor g(k).
-2*(k - 3)*(k + 1)**4/7
Let p(x) = -4*x + 2. Let j be p(-2). Factor -20*i**3 + j*i - 103*i**2 + 11*i**5 - i**5 + 53*i**2 - 40*i**3 - 5*i**4 + 15.
5*(i - 3)*(i + 1)**3*(2*i - 1)
Let y(i) be the second derivative of 0 + 0*i**2 + 0*i**3 - 8*i - 1/170*i**5 + 1/51*i**4. What is m in y(m) = 0?
0, 2
Suppose 5*o + 14 = 29. Determine u, given that 18*u + 24*u**3 + 0*u + 15*u**2 - 21*u**o = 0.
-3, -2, 0
Suppose 15*v**5 + 451/10*v**3 - 73/10*v - 3/10*v**2 - 103/2*v**4 - 1 = 0. Calculate v.
-1/5, 5/6, 1, 2
Suppose -5*s + 3*s - 25 = -3*t, -t = s. Suppose 0 = q - 0 - t. Suppose 1 - 5 - 6*c + 2 + q + 3*c**2 = 0. Calculate c.
1
Let j = 31676/7 - 4525. What is s in j*s**5 - 1/7*s**4 - 1/7*s**3 + 1/7*s**2 + 0 + 0*s = 0?
-1, 0, 1
Let n(g) be the third derivative of -g**6/20 + 7*g**5/15 + 7*g**4/3 - 8*g**3 + 185*g**2. Solve n(m) = 0 for m.
-2, 2/3, 6
Suppose 7*k - 3 = -3*o + 10*k, 5*k = o - 13. Let t be (-1 + 0)/o*(5 + 1). Factor -3/2*m**t + 3/2*m + 0*m**2 + 0.
-3*m*(m - 1)*(m + 1)/2
Let j = -4089 - -32739/8. Factor 9/4*o + j + 3/8*o**2.
3*(o + 3)**2/8
Let y = 653/41580 + 2/2079. Let w(k) be the second derivative of 0 + k + 1/6*k**2 - 1/18*k**3 + y*k**5 - 1/36*k**4. Factor w(o).
(o - 1)**2*(o + 1)/3
Let v(x) be the second derivative of -x**7/84 - 191*x**6/60 - 6143*x**5/20 - 45675*x**4/4 - 170667*x**3/4 - 250047*x**2/4 + 146*x. Find t such that v(t) = 0.
-63, -1
Find i such that -2/11*i**5 + 8/11*i**3 + 0 + 0*i - 8/11*i**2 + 2/11*i**4 = 0.
-2, 0, 1, 2
Let u(v) be the second derivative of v**4/30 + 46*v**3/15 - 16*v - 2. Solve u(g) = 0.
-46, 0
Let w(m) = 4*m**2 - 15*m + 11. Let x(a) = -164*a + 138 - 44 + 111*a**2 - 67*a**2 + 26. Let z(j) = -32*w(j) + 3*x(j). Let z(p) = 0. Calculate p.
1, 2
Factor 0*f + 2/5*f**3 + 0 + 1/5*f**4 + 1/5*f**2.
f**2*(f + 1)**2/5
Let a(b) be the second derivative of -b**8/1120 - b**7/140 - b**6/48 - b**5/40 + 7*b**3/3 - 3*b. Let r(t) be the second derivative of a(t). Factor r(z).
-3*z*(z + 1)**2*(z + 2)/2
Let m(l) = 6*l**3 + 32*l**2 + 40*l + 12. Let r(z) = -z**2 + z. Let v(o) = m(o) - r(o). Determine y, given that v(y) = 0.
-4, -1, -1/2
Let h(p) be the third derivative of -p**8/2688 + p**7/840 - p**6/960 + 26*p**2 - 4*p. Factor h(u).
-u**3*(u - 1)**2/8
Factor -12*r**2 + 300*r - 15*r - 2569 + 2641.
-3*(r - 24)*(4*r + 1)
Suppose -8*w - 3 = -19. Factor -15*d - 20 + 8*d**2 + 0*d**2 - 3*d**w + 0*d**2.
5*(d - 4)*(d + 1)
Let q be (-30)/(-117) + 17/221. Determine c so that q + 1/3*c**3 + c + c**2 = 0.
-1
Let a(s) be the third derivative of -s**5/240 - s**4/96 + s**3/2 + 89*s**2 - 2*s. Factor a(l).
-(l - 3)*(l + 4)/4
Find c such that -32 - 9/2*c**4 + 112*c - 122*c**2 + 42*c**3 = 0.
2/3, 4
Let o(i) be the first derivative of -i**4/2 + 52*i**3/3 + 107*i**2/4 + 27*i/2 + 72. Factor o(l).
-(l - 27)*(2*l + 1)**2/2
Let c(j) = 2*j - 38. Let i be c(9). Let r(d) = d**2 + 19*d - 20. Let k be r(i). Suppose -6/5*u + k*u**3 + 3/5*u**4 + 0 - 9/5*u**2 = 0. Calculate u.
-1, 0, 2
Let m = 4565/6 + -1515/2. Suppose 8*g**2 + 1/3*g**4 - 25/3 + 10/3*g**3 - m*g = 0. What is g?
-5, -1, 1
Let t(c) be the second derivative of -c**9/1008 - 3*c**8/560 - 3*c**7/280 - c**6/120 - 11*c**3/6 + 6*c. Let h(m) be the second derivative of t(m). Factor h(y).
-3*y**2*(y + 1)**3
Let a(o) be the third derivative of -o**8/2520 + o**7/420 - o**6/270 - 35*o**3/6 - 18*o**2. Let m(c) be the first derivative of a(c). Factor m(k).
-2*k**2*(k - 2)*(k - 1)/3
Suppose 0*b = 2*b - 2. Let i(y) = 5*y**3 - y**2. Let p be i(b). Find z such that z**p - 2*z**3 - z**4 - 2*z**4 + 2*z**2 + 2*z + 0*z**2 = 0.
-1, 0, 1
Let f(z) = 57*z**2 - 399*z + 2940. Suppose -8*a + a - 28 = 0. Let k(x) = -11*x**2 + 80*x - 588. Let c(i) = a*f(i) - 21*k(i). Factor c(p).
3*(p - 14)**2
Let m(a) = a**3 - 29*a**2 - 18*a. Let l(h) = 2*h**3 - 61*h**2 - 37*h. Let p(g) = -6*l(g) + 13*m(g). Factor p(o).
o*(o - 12)*(o + 1)
Let z(i) = -5 - 8*i**2 - 3*i**2 - 5*i**2 - i**3 + 11*i**2 + 6*i. Let s(f) = -4 + 0*f**3 - 4*f**2 + 4*f - f**3 + f. Let v(u) = -5*s(u) + 4*z(u). Factor v(o).
o*(o - 1)*(o + 1)
Let x(i) be the first derivative of -i**4/14 - 22*i**3/21 - 19*i**2/7 - 18*i/7 + 282. Factor x(h).
-2*(h + 1)**2*(h + 9)/7
Let l(a) = -a**2 + 3*a - 4. Suppose -3*q + 6 = -6. Let w(u) = -20 - u + 11 + 5 + 5. Let z(f) = q*w(f) + l(f). Solve z(b) = 0.
-1, 0
Let z(t) be the second derivative of t**4 - 16*t + 3/4*t**3 + 0*t**2 + 0 + 1/84*t**7 + 11/20*t**5 + 2/15*t**6. Factor z(a).
a*(a + 1)**2*(a + 3)**2/2
Let y(g) = -13*g + 1109. Let q be y(85). Factor -4/7*t**q + 2/7*t**3 + 0*t + 2/7*t**5 + 0*t**2 + 0.
2*t**3*(t - 1)**2/7
Let h be 2 + 13/65*15. Let 8/7*l**h - 30/7*l**3 + 18/7 + 0*l**4 - 10/7*l**2 + 30/7*l = 0. What is l?
-1, 3/2
Determine c so that -27/2*c - 1/2*c**4 + 53/2*c**2 - 25/2*c**3 + 0 = 0.
-27, 0, 1
Let z(m) be the third derivative of -m**7/420 - 11*m**6/240 - 11*m**5/40 - 3*m**4/16 + 9*m**3/2 - 76*m**2 - 2. Factor z(b).
-(b - 1)*(b + 3)**2*(b + 6)/2
Suppose -5*o - 1/5*o**3 - 12/5 - 14/5*o**2 = 0. What is o?
-12, -1
What is u in -47/6*u**2 + 13/6*u**3 - 1/6*u**4 - 4 + 59/6*u = 0?
1, 3, 8
Let l(g) be the first derivative of 6/25*g**5 + 0*g - 1 - 2/5*g**2 - 2/15*g**6 + 2/5*g**4 - 2/5*g**3. What is a in l(a) = 0?
-1, -1/2, 0, 1, 2
Let w(p) be the first derivative of 1/2*p**4 + 0*p + 1/2*p**3 + 0*p**2 + 1/10*p**5 - 37. Let w(s) = 0. What is s?
-3, -1, 0
Suppose 0 = -6*n + n + 5*q, -3*n + 5*q = 6. Suppose -2*x + 12 = 2*x. Suppose -x*f**n + 3*f + 3*f**4 - 4*f + f = 0. Calculate f.
0, 1
Suppose 0 = 2*u + h + 17, -u - 5*h - 19 = -2*u. Let a be (-10)/u + 4/12. Let 1/4*f**a + 1/4 + 1/2*f = 0. What is f?
-1
Let i(v) = -86*v - 338. Let t be i(-4). Factor -t*s + 0 + 9*s**4 + 18*s**2 - 3/2*s**5 - 39/2*s**3.
-3*s*(s - 2)**2*(s - 1)**2/2
Suppose 3*g + 0*w - 3*w = -3, -g - 2 = -2*w. Let a(y) be the second derivative of 0 - 3/4*y**4 + g*y**2 + y + 3/20*y**5 + 3/2*y**3 - 1/90*y**6. Factor a(p).
-p*(p - 3)**3/3
Let t(l) = 2*l**2 - 100*l + 802. Let n be t(40). Factor -3/7*u**n - 30/7*u - 75/7.
-3*(u + 5)**2/7
Let f(j) = j**3 - j**2 - j - 1. Let u(b) = b + 2*b**4 + b**4 + 88*b**2 - b**3 + 10 - 93*b**2. Let x(v) = -4*f(v) - u(v). Factor x(t).
-3*(t - 1)**2*(t + 1)*(t + 2)
Let y be ((7 + -5)/14)/(16/28). Let z = 1/2 - y. Solve 1/4*m**2 + 3/4*m**4 + 0 - 3/4*m**3 - z*m**5 + 0*m = 0.
0, 1
Let y(x) be the second derivative of -1/12*x**4 + 0 - 2*x**3 - 18*x**2 - 9*x. Solve y(h) = 0 for h.
-6
Let z be (-1)/(-3)*(0 + -93). Let p = z - -35. Let -1/6*w**3 + 0*w**2 + 0*w - 1/6*w**5 + 0 + 1/3*w**p = 0. Calculate w.
0, 1
Let j be ((-28)/(-98))/(2/14). Solve -2*p**2 - j*p**2 - 72*p - 192 - 132 = 0 for p.
-9
Let y(b) be the second derivative of -2*b + 0 - 1/36*b**4 - 5/18*b**3 + b**2. Let y(w) = 0. What is w?
-6, 1
Let o(y) be the third derivative of y**11/221760 - y**9/20160 + y**7/3360 - 3*y**5/20 + 29*y**2. Let i(d) be the third derivative of o(d). Factor i(z).
3*z*(z - 1)**2*(z + 1)**2/2
Let k(l) = -5*l**2 - 6. Let p(v) = v**2 + 1. Let w = -8 + 14. Let b(i) = w*k(i) + 33*p(i). Factor b(g).
3*(g - 1)*(g + 1)
Let x(d) = -10*d**4 