 - 141. Let m(i) = -i**2 - 47*i - 144. Let w(o) = 2*d(o) - 3*m(o). Suppose w(n) = 0. Calculate n.
-10, -5
Let j(s) be the third derivative of 1/96*s**4 - 9*s**2 - 1/12*s**3 + 1/240*s**5 + 0*s + 0. Factor j(i).
(i - 1)*(i + 2)/4
Let s(f) be the third derivative of -f**8/336 + f**7/126 + f**6/180 - f**5/30 + f**4/72 + f**3/18 + 21*f**2. Suppose s(o) = 0. What is o?
-1, -1/3, 1
Suppose -4*g - 410 = -422. Suppose 0 = 12*o - 4*o. Factor o + 0*k + 4/5*k**g - 8/5*k**2.
4*k**2*(k - 2)/5
Let -56*y**2 + 2 - 1 - 4*y**4 + 4 + 32*y - 5 + 28*y**3 = 0. Calculate y.
0, 1, 2, 4
Let 63/2 - 7/4*p**2 + 439/4*p = 0. Calculate p.
-2/7, 63
Let h(i) = 13*i**3 - 2*i**2 + 1 + 0 - 7 - 17*i. Let g(v) = v**3 + v**2 + 1. Let n(p) = 4*g(p) + h(p). Factor n(u).
(u - 1)*(u + 1)*(17*u + 2)
Let i(a) = -5*a**2 + 3*a + 2. Let r(m) = 7*m**2 - 4*m - 2. Let d(x) = 6*i(x) + 4*r(x). Factor d(c).
-2*(c - 2)*(c + 1)
Let s be 5/(-260)*-8 - (-108)/312. Solve s*v**2 + 25/2 + 5*v = 0.
-5
Let m(a) be the second derivative of a**8/420 - 2*a**7/35 + 11*a**6/60 - 4*a**5/15 - a**4/4 - 12*a. Let v(r) be the third derivative of m(r). Factor v(h).
4*(h - 8)*(2*h - 1)**2
Let s(m) be the third derivative of m**7/1050 + 7*m**6/150 + 4*m**5/5 + 10*m**4/3 - 200*m**3/3 + 113*m**2. Find r, given that s(r) = 0.
-10, 2
What is d in 163 - 6537 - 184*d - 2090 - d**2 = 0?
-92
Let r be -6 + -5 + 13 + 907/(-4). Let f = -224 - r. Solve 1/4*x - 1/2*x**3 + 3/4 + f*x**4 - 3/2*x**2 + 1/4*x**5 = 0 for x.
-3, -1, 1
Let w(o) be the second derivative of -o**6/60 + o**5/40 + o**4/8 - 5*o**3/12 + o**2/2 - 83*o. Factor w(v).
-(v - 1)**3*(v + 2)/2
Let k(y) be the first derivative of -y**6/12 + 3*y**5/10 - y**4/4 + 115. Let k(w) = 0. What is w?
0, 1, 2
Let y(x) be the first derivative of -12*x + 27 - 4*x**2 + 4/3*x**3. Find p such that y(p) = 0.
-1, 3
Let l(g) be the first derivative of 16*g**5/85 + 3*g**4/2 + 76*g**3/17 + 100*g**2/17 + 48*g/17 - 50. Factor l(c).
2*(c + 2)**3*(8*c + 3)/17
Suppose 25/3*g**3 - 7/3*g + 22/3*g**2 + 0 - 4/3*g**4 = 0. Calculate g.
-1, 0, 1/4, 7
Let z(w) = -10*w**2 - 21*w + 3. Let v(t) = -9*t**2 - 21*t. Let x(i) = -7*v(i) + 6*z(i). Determine u so that x(u) = 0.
-6, -1
Let i(z) be the first derivative of z**6/3 + 14*z**5/5 + z**4/2 - 18*z**3 + 18*z**2 - 21. Determine p so that i(p) = 0.
-6, -3, 0, 1
Let d(o) be the second derivative of -2/21*o**7 + 0 + 0*o**3 + 0*o**2 + 0*o**4 - 23*o - 1/5*o**5 + 4/15*o**6. What is x in d(x) = 0?
0, 1
Let z(i) be the first derivative of 2*i**5/85 - 11*i**4/17 - 94*i**3/51 - 24*i**2/17 + 392. Find l such that z(l) = 0.
-1, 0, 24
Let t(c) be the second derivative of -5/6*c**3 - 5/4*c**4 + 0 + 0*c**2 - 9*c. Determine o so that t(o) = 0.
-1/3, 0
Let r = -78965/247 + -2049/19. Let t = r + 428. Solve 2/13*u - 2/13*u**4 - 2/13*u**3 + t*u**2 - 4/13 = 0.
-2, -1, 1
Let f(o) be the second derivative of -7*o**5/45 + 11*o**4/9 + 524*o**3/27 + 16*o**2 + 12*o. Factor f(i).
-4*(i - 9)*(i + 4)*(7*i + 2)/9
Let b(g) = 39 - 4*g**3 + 5*g - 8*g**3 + g**3 - 44. Let i(f) = 27*f**3 - 12*f + 12. Let x(j) = -12*b(j) - 5*i(j). Factor x(h).
-3*h**3
Let x = 686/3 + -226. Suppose -305 = -229*j + 153. Suppose -2/3*g**j + 0*g + x = 0. Calculate g.
-2, 2
Let q(x) be the third derivative of -x**5/90 + 5*x**4/4 - 44*x**3/9 + 72*x**2. What is h in q(h) = 0?
1, 44
Solve -1/3*i**2 - 2*i + 7/3 = 0 for i.
-7, 1
Factor -12*m**2 - 6 - 15*m - 82*m**3 - 79*m**3 + 235*m**3 - 77*m**3.
-3*(m + 1)**2*(m + 2)
Let p(k) be the first derivative of k**9/7056 + k**8/3920 - k**7/1960 - k**6/840 + 8*k**3/3 + 1. Let x(g) be the third derivative of p(g). Factor x(z).
3*z**2*(z - 1)*(z + 1)**2/7
Let c = 9279/10 + -927. Let k(m) be the second derivative of -c*m**3 - 1/100*m**5 - 27/10*m**2 - 3/20*m**4 + m + 0. Factor k(a).
-(a + 3)**3/5
Let w(m) be the first derivative of 3*m**4/7 + 170*m**3/21 + 2*m**2 - 115. Let w(f) = 0. Calculate f.
-14, -1/6, 0
Suppose -2*x - 64 = 4*t, t + 4 = 5*x + 109. Let k(z) = -z - 20. Let l be k(x). Find s, given that 1/2*s**l - 1/2*s + 0 = 0.
0, 1
Let i = -35099/30 - -1170. Let c(k) be the second derivative of 0*k**4 - 5*k - 1/45*k**6 - i*k**5 + 0*k**3 + 0*k**2 + 0. Factor c(t).
-2*t**3*(t + 1)/3
Let h(a) = -a**3 + 1. Let l(v) be the second derivative of -3*v**5/10 + v**4/6 - 7*v**3/6 + 11*v**2/2 + 16*v. Let j(n) = -35*h(n) + 5*l(n). Factor j(g).
5*(g - 1)**2*(g + 4)
Let m = 1729 - 1729. Find s, given that m - 1/2*s + 2*s**3 - 3/2*s**2 = 0.
-1/4, 0, 1
Let p(g) be the first derivative of -6655/8*g**4 - 161051/24*g**6 - 55/8*g**2 - 14641/4*g**5 + 5 - 1/4*g - 605/6*g**3. Factor p(s).
-(11*s + 1)**5/4
Let y be 15/(-35) - (-2)/14*-312. Let q = y + 47. Determine v so that -6*v - 19/2*v**2 + 15/2*v**4 + 2*v**5 + 4*v**3 + q = 0.
-2, -1, 1/4, 1
Let x(m) = 85*m**2 - 220*m - 885. Let a(o) = 5*o**2 - 13*o - 52. Let g(n) = 35*a(n) - 2*x(n). Determine d, given that g(d) = 0.
-2, 5
Solve 256*s**4 + 59*s**3 - 257*s**4 - 2105 + 342 - 173 - 2113*s**2 + 31*s**3 + 3960*s = 0 for s.
1, 44
Let s be (-13)/(-117) + (-26)/(-9). Factor -8*q**2 + 11*q**s - 4*q**4 + 0*q**3 - 23*q**3.
-4*q**2*(q + 1)*(q + 2)
Suppose 4*f - 2*x = -824, 228 = -4*f + 3*f - 5*x. Let r = -208 - f. Solve -1/4*p + 4*p**4 + r + 9/4*p**2 - 6*p**3 = 0 for p.
0, 1/4, 1
What is j in 0 - 52/7*j + 1/7*j**2 = 0?
0, 52
Factor 6/13 + 20/13*v + 2/13*v**4 + 24/13*v**2 + 12/13*v**3.
2*(v + 1)**3*(v + 3)/13
Let k(z) = -14*z**2 - 9*z + 2. Let q(y) = y**2. Let d(j) = -2*k(j) - 6*q(j). Factor d(o).
2*(o + 1)*(11*o - 2)
Let 6 - 8*d + 1/2*d**3 + 3/2*d**2 = 0. Calculate d.
-6, 1, 2
Solve -1 + 9/2*f + 11/2*f**2 = 0.
-1, 2/11
Let k(p) be the third derivative of -p**8/70560 + p**7/5880 - p**6/1260 - 11*p**5/60 + 4*p**2. Let o(c) be the third derivative of k(c). Factor o(u).
-2*(u - 2)*(u - 1)/7
Let l(b) be the third derivative of -b**8/112 - 4*b**7/35 - 9*b**6/20 + 27*b**4/8 + 25*b**2. Factor l(i).
-3*i*(i - 1)*(i + 3)**3
Suppose 0*j + 2*j = 8. Determine p, given that 2*p**j + 5*p**4 - 9*p**2 + 5*p**3 - 25*p - 10 - 6*p**2 - 2*p**4 = 0.
-1, 2
Let r = 2945/198 + -249/22. Factor r*m - 4 + 4/9*m**2.
4*(m - 1)*(m + 9)/9
Let a(g) = g**3 - 3*g**2 - 4*g + 5. Let l be a(4). Suppose 11 - l - 2*m**3 + 12*m**2 + 0*m**3 + 10 - 24*m = 0. What is m?
2
Let v(s) be the third derivative of -1/40*s**6 + 5/72*s**4 + 33 + 0*s - 2*s**2 - 7/60*s**5 + 25/18*s**3. Factor v(j).
-(j - 1)*(3*j + 5)**2/3
Let o(a) be the third derivative of -a**8/105 - 4*a**7/525 + a**6/40 + 2*a**5/75 + a**4/120 + 96*a**2. Let o(t) = 0. Calculate t.
-1, -1/4, 0, 1
Let r(f) = 3*f**2 - 11*f + 3. Let m be r(0). Let c(w) be the first derivative of 1/9*w**m - 8 + 1/3*w + 1/3*w**2. Solve c(v) = 0.
-1
Let o(t) = t**3 + t. Let b(k) = 2*k**3 + 4*k**2 + 3*k. Let m(q) = -q + 3. Let y be m(4). Let n(j) = y*b(j) + 3*o(j). Factor n(s).
s**2*(s - 4)
Let v(d) be the second derivative of -5*d + 3/5*d**5 + 2/3*d**4 + 2/15*d**6 + 0*d**2 + 0 + 0*d**3. Factor v(q).
4*q**2*(q + 1)*(q + 2)
Factor 6*s**2 - 56 + 16 + 128*s + 10 - 22 - 36.
2*(s + 22)*(3*s - 2)
Let m(u) be the first derivative of -u**4/2 + 10*u**3/3 + 8*u**2 - 24*u - 74. Factor m(x).
-2*(x - 6)*(x - 1)*(x + 2)
Let t be (-5)/(-15) + (-70)/(-6). Let k be (-3)/2*t/(-9). Factor 1/2*q**3 + 0*q + 0 + 0*q**k.
q**3/2
Let h(c) = -c**3. Let j be (-4)/2 - (-7 + 4). Let q(m) = 8*m**3 - 28*m**2 + 14*m + 8. Let a(i) = j*q(i) + 2*h(i). Determine l so that a(l) = 0.
-1/3, 1, 4
Suppose w + 64 = -v + 59, 3 = -2*v - w. Factor -16/5*z**v + 4/5 - 12/5*z.
-4*(z + 1)*(4*z - 1)/5
Suppose -13 = 2*l + s + 15, -2*l - 52 = -5*s. Let b = l + 18. Factor -4*z**2 + z**b + 8*z - 2*z.
-3*z*(z - 2)
Suppose -921 = 5*z - 106. Let v = z - -248. Solve -3*r + 6*r**3 - 3*r**5 - v + 85 = 0.
-1, 0, 1
Let a(p) be the third derivative of -p**7/900 + p**6/900 - p**4/12 - 2*p**3 + 19*p**2. Let u(w) be the second derivative of a(w). Let u(l) = 0. Calculate l.
0, 2/7
Factor -5/7 - 1/7*a**2 + 6/7*a.
-(a - 5)*(a - 1)/7
Let a(b) = 0*b**4 + 6*b**4 + 13*b**2 - 3*b**4 + 9*b**3 + 3*b. Let g(h) = -6*h**4 - 18*h**3 - 25*h**2 - 6*h. Let p(l) = -7*a(l) - 4*g(l). Factor p(u).
3*u*(u + 1)**3
Suppose 0 + 0*b**2 + 2/7*b**3 + 0*b = 0. What is b?
0
Factor -42*v - 69*v**3 + 13 + 3*v**5 + 99*v**2 - 32 + 19 + 9*v**4.
3*v*(v - 2)*(v - 1)**2*(v + 7)
Let h(u) be the second derivative of -u**4/78 + 15*u**3/13 + 46*u**2/13 - 24*u + 2. Determine v 