se 128 - 41 - 65 - 22*j - 3*j**2 - 43*j = 0. Calculate j.
-22, 1/3
Let m(z) = 3*z**4 - 9*z**3 + 6*z - 6. Let q(j) = 7*j**4 - 18*j**3 + j**2 + 13*j - 13. Let r(n) = 13*m(n) - 6*q(n). Factor r(h).
-3*h**2*(h + 1)*(h + 2)
Let q(r) = -7*r**3 + 886*r**2 - 86444*r + 2823564. Let o(t) = -6*t**3 + 885*t**2 - 86442*t + 2823567. Let p(x) = 4*o(x) - 3*q(x). Factor p(y).
-3*(y - 98)**3
Let c(x) = -49*x + 2. Let d be c(-3). Let z = 149 - d. Suppose 0*p + 0*p**2 - p**3 + z + p**4 - 1/4*p**5 = 0. What is p?
0, 2
Let q be (2/7)/(60/105)*8. Factor 588*w**2 - 15*w**4 - 17*w**q - 1507*w + 36*w**4 + 135*w - 84*w**3.
4*w*(w - 7)**3
Let j = 440 - 433. Let f(x) be the third derivative of 3/70*x**j + 0 - 1/2*x**3 - 1/2*x**4 - 1/10*x**5 + 0*x + 1/10*x**6 - 7*x**2. Factor f(p).
3*(p - 1)*(p + 1)**2*(3*p + 1)
Let j be ((-256)/(-64))/(16/10). Solve -j*i**4 + i - 7/2*i**2 + 0 + 1/2*i**5 + 9/2*i**3 = 0.
0, 1, 2
Factor 6*g - 2*g**2 - 2*g**2 + 6*g**2 + g**2 + 3.
3*(g + 1)**2
Suppose -n + 16 = 2*s + 2*s, 3*n + 12 = 3*s. Suppose -4*r**5 + 6*r**4 - 26*r**s - 25*r**2 + 9*r**2 - 32*r**3 = 0. Calculate r.
-2, -1, 0
Let p(i) = 4*i + 6. Let k be p(7). Let s be (-3)/20 - k/(-85). Suppose 1/4*z + s*z**5 + 0*z**4 + 0*z**2 + 0 - 1/2*z**3 = 0. Calculate z.
-1, 0, 1
Let c = -99 - -103. Let t(b) be the second derivative of 2*b**3 + 5*b + 1/3*b**c + 0 + 4*b**2. Solve t(w) = 0 for w.
-2, -1
Let j(w) = -w**2 - 9*w - 15. Let r be j(-6). Factor -10648*t + 3*t**4 + 1452*t**2 - 3409 + 54*t**3 + 32691 - t**4 - 142*t**r.
2*(t - 11)**4
Let a(v) be the second derivative of v**7/280 - v**5/20 + 45*v**2/2 - 48*v - 1. Let i(g) be the first derivative of a(g). Solve i(s) = 0.
-2, 0, 2
Let u(d) be the third derivative of -d**6/24 + d**5/4 + 5*d**4/6 - 6*d**2 - 4*d. Let u(m) = 0. What is m?
-1, 0, 4
Factor 238*a**3 + 245*a**3 + 81*a**2 + 12*a - 746*a**3 + 242*a**3.
-3*a*(a - 4)*(7*a + 1)
Find q such that 150 - 36*q**4 - 42*q**3 - 90*q**3 + 21*q - 17*q**2 - 3*q**5 + 114*q - 97*q**2 = 0.
-5, -2, -1, 1
Suppose -23*c + 884 - 856 = -9*c. Let -1/4*l**c - 1/2 + 3/4*l = 0. Calculate l.
1, 2
Factor -28*z - 20*z**2 - 50*z**3 + 68*z - 15*z**4 - 168 + 168.
-5*z*(z + 2)**2*(3*z - 2)
Suppose 5*o - 5*k = -5, -3*o - 5*k - 2 + 23 = 0. Factor 17*w**4 - 20*w**3 + 30*w**o + 75*w**3 - 2*w**4.
5*w**2*(w + 3)*(3*w + 2)
Let r = 3116599/80 - 38957. Let g = r - -1/80. Find c such that 1/2*c**2 - 1/2*c**3 + g*c - 1/2 = 0.
-1, 1
Let m(u) be the first derivative of -u**2 + 21 + 1/2*u**5 + 1/12*u**6 - 5/6*u**3 + 3/8*u**4 + 0*u. Let m(f) = 0. What is f?
-4, -1, 0, 1
Suppose 0 = -s + 244*s - 486. Factor -s*t - 3/2 - 1/2*t**2.
-(t + 1)*(t + 3)/2
Let 6/5*m**2 + 0 + 14/5*m**3 + 8/5*m**4 + 0*m = 0. What is m?
-1, -3/4, 0
Let u(i) = -i**4 - i**3 + 83*i**2 + 243*i + 162. Let f(p) = -6*p**4 - 6*p**3 + 582*p**2 + 1701*p + 1134. Let a(r) = -2*f(r) + 15*u(r). Factor a(g).
-3*(g - 6)*(g + 1)*(g + 3)**2
Let q(c) be the second derivative of -14*c + 3/40*c**5 + 5/24*c**4 - 1/60*c**6 + 1/6*c**3 + 0*c**2 - 1/84*c**7 + 0. Factor q(o).
-o*(o - 2)*(o + 1)**3/2
Let n be (-3237)/(-845) - 2/10. Let m = -42/13 + n. Factor 8/5*x**2 - m - 3/5*x - 3/5*x**3.
-(x - 2)*(x - 1)*(3*x + 1)/5
Suppose 0 = -160*g - 378 + 1658. Factor 2/5*z**3 - g - 32/5*z - 2/5*z**2.
2*(z - 5)*(z + 2)**2/5
Let b(x) = -5*x**4 + 28*x**3 - 39*x**2 + 16*x + 1. Let n(k) = k**5 - k**4 + k**3 - k**2 + 1. Let z(s) = b(s) - n(s). Factor z(p).
-p*(p - 2)*(p - 1)**2*(p + 8)
Let f = -18 - -29. Let c be (-2)/f - (-216)/220. Solve 0 - c*m - 2/5*m**2 = 0.
-2, 0
Let u(n) = n - 1. Let f(s) = 4*s**3 + 4*s**2 - 27*s - 53. Suppose 19*x = 20*x + 1. Let o(m) = x*f(m) + 5*u(m). Factor o(w).
-4*(w - 3)*(w + 2)**2
Suppose -5*l + 3*d + 35 = 0, -5*d + 21 = -l - 10*d. Factor 28*m**4 - 24*m**3 + 14*m**5 - l*m**5 - 11*m**5 - 3*m**5.
-4*m**3*(m - 6)*(m - 1)
Factor 0 + 1/10*o**2 - 1/10*o - 1/10*o**4 + 1/10*o**3.
-o*(o - 1)**2*(o + 1)/10
Let v(w) be the first derivative of -w**4/8 + w**3 - 5*w**2/4 + 7. Find g, given that v(g) = 0.
0, 1, 5
Let c(p) = -p**3 - 3*p**2 + 5*p + 4. Let u be c(-4). Let n be u + 1/((-4)/(-16)). Factor n*y - 4*y + 5*y + 3*y**2 + y.
3*y*(y + 2)
Let o(t) be the third derivative of 0 + 0*t**3 + 0*t - 1/72*t**4 - 4*t**2 + 1/180*t**5. Let o(h) = 0. Calculate h.
0, 1
Let v(k) = -9*k - 15. Suppose -2*z - 6 = -q - 0, -2*z = -4*q. Let r be v(q). Factor -2*g**r - 24/7*g**2 + 50/7*g - 12/7.
-2*(g - 1)*(g + 3)*(7*g - 2)/7
Let o(i) be the third derivative of i**7/735 + i**6/420 - 3*i**5/70 - 3*i**4/28 + 5*i**2 + 4*i. Determine b, given that o(b) = 0.
-3, -1, 0, 3
Suppose 5*x + i - 35 = 2*i, 50 = 5*x + 2*i. Suppose -x = -23*g + 19*g. Determine p, given that 2/9*p**g + 0 + 4/9*p - 2/9*p**3 = 0.
-1, 0, 2
Let y(n) be the second derivative of 0 + 1/2*n**2 - 3*n + 5/12*n**4 + n**3. Factor y(p).
(p + 1)*(5*p + 1)
Let o(i) be the second derivative of i + 6/5*i**5 - 10/21*i**7 + 0*i**2 - 26/15*i**6 + 20/3*i**4 + 0 - 16/3*i**3. Find v, given that o(v) = 0.
-2, 0, 2/5, 1
Let y(m) be the third derivative of 0*m - 2/3*m**4 + 8/3*m**3 - 1/5*m**5 + 13*m**2 + 0. Solve y(r) = 0 for r.
-2, 2/3
Let u(j) be the second derivative of 5*j**4/12 - 55*j**3/6 + 25*j**2 + 107*j + 2. Let u(g) = 0. What is g?
1, 10
Let y = -58 + 42. Let v(m) = -m - 12. Let u be v(y). Determine s so that 0*s - 1/3*s**2 - s**3 - s**u - 1/3*s**5 + 0 = 0.
-1, 0
Let u(o) = 2*o - 6. Let l(j) = 6*j**2 + 6*j + 5. Let q(g) = g**2 + g + 1. Let t(c) = -l(c) + 5*q(c). Let f(z) = -2*t(z) + u(z). Factor f(b).
2*(b - 1)*(b + 3)
Let f(n) be the second derivative of n**5/20 + n**4/4 - 2*n**3/3 - 6*n**2 - 2*n. Factor f(q).
(q - 2)*(q + 2)*(q + 3)
Determine r, given that -46*r**2 + 4 + 10 + 4*r - 56 + 45*r + 2*r**3 + 37*r = 0.
1, 21
Let d(k) = -k. Let n be d(-3). Suppose -2*o = -5 - n. Factor 0 + 0*h + 0*h**2 + 0*h**o + 0*h**3 + 2/9*h**5.
2*h**5/9
Let t(r) be the first derivative of -4/17*r + 1/34*r**4 + 19 + 0*r**3 - 3/17*r**2. Solve t(p) = 0.
-1, 2
Factor 0*c + 1/2*c**5 + 9/2*c**2 + 0 - 9/2*c**4 - 1/2*c**3.
c**2*(c - 9)*(c - 1)*(c + 1)/2
Let c(g) be the third derivative of 3*g**7/70 + 67*g**6/20 + 1539*g**5/20 + 231*g**4/2 - 242*g**3 - 163*g**2. What is l in c(l) = 0?
-22, -1, 1/3
Let u(w) be the third derivative of -w**8/1008 + w**7/315 + w**6/180 + 3*w**5/10 - 17*w**2. Let r(d) be the third derivative of u(d). Let r(b) = 0. Calculate b.
-1/5, 1
Let c = 10/79 - -1016/711. Determine g so that -c*g**3 + 0 + 14/9*g**5 + 4/9*g**4 - 4/9*g**2 + 0*g = 0.
-1, -2/7, 0, 1
Let j = 7/102 - -13/17. Let l(i) be the second derivative of -5/12*i**4 + 1/4*i**5 - j*i**3 + 0 + 5/2*i**2 - i. Determine s, given that l(s) = 0.
-1, 1
Suppose -6*y = -3*s - 9*y + 24, -5*s = -5*y. Let n(d) be the first derivative of 2/21*d**3 + 2 + 0*d + 0*d**2 + 1/14*d**s. Suppose n(t) = 0. Calculate t.
-1, 0
Let r(o) be the first derivative of -o**4/16 - 5*o**3/6 + o**2/8 + 5*o/2 - 166. Factor r(v).
-(v - 1)*(v + 1)*(v + 10)/4
Let c(k) = -4*k**2 + 80*k + 76. Let q(r) = 2*r**2 - 53*r - 50. Let f(i) = -5*c(i) - 8*q(i). Factor f(m).
4*(m + 1)*(m + 5)
Let z(w) be the first derivative of 2*w**2 + 4*w - 22 - 8/3*w**3. Factor z(s).
-4*(s - 1)*(2*s + 1)
Let y = 7 - 9. Let r be (y/6)/(1/(-63)). Let s(g) = g**2 - 8*g + 5. Let q(h) = h - 1. Let w(v) = r*q(v) + 3*s(v). Find i such that w(i) = 0.
-1, 2
Let n(b) be the third derivative of -11*b**4/24 + 11*b**3/2 + 15*b**2 + 4*b. Let i be n(3). Factor i*y + 0 - 3/4*y**3 + 9/4*y**4 - 3/2*y**2.
3*y**2*(y - 1)*(3*y + 2)/4
Let g(k) be the third derivative of k**5/30 + 5*k**4/6 + 16*k**3/3 + 64*k**2 + k. Factor g(y).
2*(y + 2)*(y + 8)
Let m(u) be the second derivative of -u**7/147 + 2*u**6/105 + 2*u**5/105 + u**2/2 - 11*u. Let x(c) be the first derivative of m(c). Solve x(q) = 0 for q.
-2/5, 0, 2
Let n(d) be the first derivative of -14*d**6/3 - 78*d**5/5 - 12*d**4 - 8*d**3/3 + 136. Determine j, given that n(j) = 0.
-2, -1/2, -2/7, 0
Let h = -391 - -395. Let k(p) be the first derivative of -8 + 1/13*p**2 - 1/26*p**h - 4/39*p**3 + 4/13*p. Factor k(d).
-2*(d - 1)*(d + 1)*(d + 2)/13
Let r(h) be the second derivative of 7/10*h**2 - 5*h + 0 + 3/20*h**4 - 1/100*h**5 - 1/2*h**3. Determine x so that r(x) = 0.
1, 7
Factor 12/5*y + 4/5 + 4/5*y**3 + 12/5*y**2.
4*(y + 1)**3/5
Let f be 64/28 + (44/385*-5)/2. Let 0*l**f - 1/5*l**5 + 11/5*l - 2*l**3 + 6/5 - 6/5*l**4 = 0. Calculate l.
-3, -2