p + 10. Factor -135*m**2 - 196*m**p + 147*m**4 - 12 - 23*m + 112*m**3 + 107*m.
3*(m - 1)*(m + 1)*(7*m - 2)**2
Let t(k) be the first derivative of -141 - 2/3*k**3 + 7*k**2 - 20*k. Factor t(i).
-2*(i - 5)*(i - 2)
Suppose 27*s + 19*s = 178*s - 660. Let x(j) be the third derivative of 18*j**2 + 0*j + 0 + 25/24*j**4 + 1/12*j**s + 5*j**3. Let x(t) = 0. Calculate t.
-3, -2
Let o(k) = 7*k**2 - 17946*k - 16146033. Let x(l) = -180*l**2 + 466600*l + 419796860. Let h(u) = -155*o(u) - 6*x(u). Factor h(p).
-5*(p + 1797)**2
Let 78*p + 42*p**2 - 3*p**3 + 62*p**2 - 71*p**2 = 0. Calculate p.
-2, 0, 13
Let h = 608 + -610. Let n(c) = -3*c**3 + 27*c**2 - 57*c + 30. Let o(r) = 3*r**3 - 29*r**2 + 57*r - 29. Let m(g) = h*n(g) - 3*o(g). Factor m(d).
-3*(d - 9)*(d - 1)**2
Let k(o) = 2*o**2 + 45*o - 69. Let g(y) = y**3 - 25*y**2 - 25*y - 50. Let s be g(26). Let u be k(s). Let -2/7*i**u + 0 + 4/7*i**2 - 2/7*i = 0. Calculate i.
0, 1
Let q(p) be the first derivative of 2*p**2 + 18 + 16*p - 1/6*p**4 + 1/3*p**3. Let t(j) be the first derivative of q(j). Solve t(s) = 0 for s.
-1, 2
Let g = 87 - 88. Let s(j) = j**2 - 4*j + 1. Let i(b) = -192*b**2 - 44*b + 3. Let a(v) = g*i(v) + 4*s(v). Find t such that a(t) = 0.
-1/14
Let a(h) = -h**3 + 10*h**2 - 3*h + 64. Let b be a(15). Let v = 1108 + b. Factor -8/5*g - 8/5 + 6/5*g**v.
2*(g - 2)*(3*g + 2)/5
Let f be (-1)/45*(-450)/135. Let a(o) be the first derivative of 21 + 2/9*o**2 - f*o**3 + 0*o. Factor a(z).
-2*z*(z - 2)/9
Let z(s) be the third derivative of -s**5/15 - 5*s**4 - 58*s**3/3 + s**2 - 44. Suppose z(h) = 0. What is h?
-29, -1
Let j be 8/(-10)*(-10)/4. Let f be -104 - (-62748)/441 - 36. Factor f*m**3 + 36/7*m**j + 0 + 8/7*m.
4*m*(m + 2)*(4*m + 1)/7
Let v(a) = 2*a**3 + 3*a**2 - 54*a - 5. Let x be v(-6). Let q be (((-70)/119)/x)/1. Factor -6/17*h + 4/17*h**3 + q*h**5 - 2/17 + 6/17*h**4 - 4/17*h**2.
2*(h - 1)*(h + 1)**4/17
Let l(h) = -6*h**5 + h**4 + h**3 - 4*h**2 - 4*h. Suppose -23*y - 7 = -16*y. Let k(z) = -z**5 - z**2 - z. Let j(r) = y*l(r) + 4*k(r). Find n such that j(n) = 0.
-1/2, 0, 1
Let -11*f**4 - 4*f**4 - 504*f - 10813232 - 159*f**3 + 10813232 + 678*f**2 = 0. Calculate f.
-14, 0, 1, 12/5
Let m = -3399/2 - -1700. Let l(a) be the first derivative of 4*a - 4/3*a**3 + a**2 - m*a**4 + 21. Solve l(f) = 0 for f.
-2, -1, 1
Suppose 20*t + 4 - 64 = 0. Suppose -t*u + 6 = -3. Determine n so that -20/7*n**2 + 12/7*n + 36/7 + 4/7*n**u = 0.
-1, 3
Let i be ((-3)/2)/(2836/(-1416) - -2). Let a be (-1357)/i - (1 + 0 + -4). Factor -2/9*x**4 + a*x + 2/9*x**2 - 4/9*x**3 + 0.
-2*x*(x - 1)*(x + 1)*(x + 2)/9
Let u(n) be the third derivative of n**7/210 + 7*n**6/45 - 17*n**5/30 - 5*n**4 + 55*n**3/2 - 229*n**2. Let w(p) be the first derivative of u(p). Factor w(s).
4*(s - 2)*(s + 1)*(s + 15)
Determine l, given that 2/3*l**2 - 104/3 - 16*l = 0.
-2, 26
Let j(v) be the second derivative of -121/4*v**4 - 154*v**3 - 294*v**2 - 21 - v. Let j(f) = 0. Calculate f.
-14/11
Let r(o) be the third derivative of o**8/2856 - 3*o**7/595 + 13*o**6/510 - 3*o**5/85 - 9*o**4/68 + 9*o**3/17 + 3*o**2 + 192. Suppose r(c) = 0. What is c?
-1, 1, 3
Suppose 21 = h + g, -6*h + 35 = -4*h - 5*g. Factor -60 + i**2 + h + 47*i - 8.
(i - 1)*(i + 48)
Let 140/3*h - 200/3 - 4*h**2 = 0. What is h?
5/3, 10
Suppose -3*c - 8 = -5*q, 0*c - 2*q = c - 12. Suppose -5*u = -1 + 11, c*g - 5*u - 54 = 0. Factor 15*n - g - 13 + 6 + 3*n**2.
3*(n - 1)*(n + 6)
Let g = 150 + -110. Factor 0*w**2 - 55*w - 65*w**3 - 5*w**4 - 32*w**2 - g*w**2 - 43*w**2.
-5*w*(w + 1)**2*(w + 11)
Factor -3*l**2 - 536 - 9*l**2 + 870*l - 1948 - 831*l + 15*l**2.
3*(l - 23)*(l + 36)
Let z(w) be the second derivative of w**9/34020 - w**8/1680 - w**7/5670 + w**6/180 + 23*w**4/6 - 14*w. Let q(h) be the third derivative of z(h). Factor q(v).
4*v*(v - 9)*(v - 1)*(v + 1)/9
Let a = -137 - -139. Determine g so that -54*g + 12*g**3 + 42*g - 3*g**a + 7*g**2 + 4 - 4*g**4 - 4*g**4 = 0.
-1, 1/2, 1
Let f(s) be the third derivative of -s**8/5040 + 2*s**7/315 - 37*s**5/20 - 244*s**2. Let u(x) be the third derivative of f(x). Factor u(m).
-4*m*(m - 8)
Let n(o) be the third derivative of 1/252*o**8 - 2/105*o**7 - 1/3*o**4 + 0 + 0*o**3 + 11/45*o**5 + 0*o + 95*o**2 - 1/30*o**6. Let n(v) = 0. Calculate v.
-2, 0, 1, 3
Let g be (81/15)/((-27)/(-18)) + (-3)/5. Let i be 1 - (-1)/6*-6. Solve 5/4*v**g + 3/4*v + 19/8*v**2 + i = 0.
-3/2, -2/5, 0
Suppose 8*h = -54 + 86. Suppose 12*b + 14 = 38. Factor 11/3*j**3 + 0*j - j**h + 0 - b*j**2.
-j**2*(j - 3)*(3*j - 2)/3
Suppose 32/3*h + 10 - 1/6*h**3 + 1/2*h**2 = 0. What is h?
-6, -1, 10
What is l in -22/5*l + 18/5*l**2 - 8 = 0?
-1, 20/9
Suppose -9 = l - 21 + 9. Let f(i) be the first derivative of 5/2*i**2 + 5/3*i**3 - l - i**5 + 0*i - 5/4*i**4. Let f(y) = 0. Calculate y.
-1, 0, 1
Let o be 588/36 + (-2)/6. Suppose -x - o = -4*x - 2*d, 5*d - 31 = -3*x. Factor -3/2*f**x + 0*f + 0.
-3*f**2/2
Let p(z) = -z**3 - 24*z**2 + 20*z + 991. Let t be p(-23). Let l(c) be the first derivative of 3/25*c**5 + 9/20*c**4 + 0*c + 0*c**3 + 0*c**t - 32. Factor l(i).
3*i**3*(i + 3)/5
Let k(j) be the second derivative of -j**6/280 - 3*j**5/140 + j**4/14 - 105*j**2/2 + 15*j. Let x(m) be the first derivative of k(m). What is f in x(f) = 0?
-4, 0, 1
Factor 180/11 + 1/11*t**2 - 29/11*t.
(t - 20)*(t - 9)/11
Suppose 0 = 50*d + 169*d - 58*d - 966. Let u(v) be the first derivative of 3/2*v**2 - 2 + 0*v + 3/2*v**4 - 8/3*v**3 - 1/6*v**d + 0*v**5. Factor u(h).
-h*(h - 1)**3*(h + 3)
Let f(r) be the second derivative of r**6/15 - 32*r**5/5 + 29*r**4 + 544*r**3/3 + 305*r**2 - 4*r + 122. Factor f(h).
2*(h - 61)*(h - 5)*(h + 1)**2
Let w be (-4)/20 + 77/35. Let l(y) = y**3 + 6*y**2 + 3*y - 6. Let k be l(-5). Factor -k*x**4 + 2*x**3 + 2*x**2 - 3*x**2 + 5*x**4 - w*x.
x*(x - 1)*(x + 1)*(x + 2)
Let k = 166951/6 + -27825. Let b(g) be the second derivative of -1/42*g**7 - 1/6*g**4 + 1/10*g**5 + 0 - k*g**3 + 13*g + 1/2*g**2 + 1/30*g**6. Factor b(l).
-(l - 1)**3*(l + 1)**2
Let z(u) = -10*u**3 - 2594*u**2 + 3620*u - 1040. Let o(c) = -10*c**3 - 2595*c**2 + 3618*c - 1040. Let k(s) = 8*o(s) - 9*z(s). Factor k(r).
2*(r - 1)*(r + 260)*(5*r - 2)
Let m be (-50)/100 - (-26)/(-4). Let t(k) = 2*k**2 + 16*k + 16. Let h be t(m). Solve -1/9*j**4 + 2/9*j + 4/9*j**h - 1/3 - 2/9*j**3 = 0 for j.
-3, -1, 1
Let y(a) be the first derivative of -a**6/840 - 3*a**5/280 + 5*a**4/28 + 167*a**3/3 - 32. Let b(v) be the third derivative of y(v). Let b(l) = 0. Calculate l.
-5, 2
Determine o, given that 23/6*o**4 - 103/6*o**3 + 133/6*o**2 + 0 - 9*o + 1/6*o**5 = 0.
-27, 0, 1, 2
Suppose 631/2*r - 61*r**4 + 51*r**3 + 75 - 5/2*r**5 + 350*r**2 = 0. What is r?
-25, -1, -2/5, 3
Let u = -3308 - -3310. Let n(z) be the first derivative of -1/20*z**4 - u*z - 13 - 3/10*z**2 + 2/5*z**3. Find p such that n(p) = 0.
-1, 2, 5
Let g be (2 - (-11)/(-2))/(266/(-285)). Determine t, given that -3*t**2 - 3/4*t**3 - g*t - 3/2 = 0.
-2, -1
Let c(i) = -5*i**3 + 3325*i**2 - 554440*i + 551236. Let m(j) = 5*j**3 - 3325*j**2 + 554440*j - 551265. Let b(r) = 5*c(r) + 4*m(r). Let b(s) = 0. What is s?
1, 332
Suppose 50 = 4*o + 3*f, 3*f - 25 = 7*o - 6*o. Let h = 36 - 107/3. Determine l, given that 0 + 0*l + 0*l**4 - 1/3*l**3 + h*l**o + 0*l**2 = 0.
-1, 0, 1
Find a, given that -44/7*a**2 + 32/7*a - 1/7*a**4 + 13/7*a**3 + 0 = 0.
0, 1, 4, 8
Let q(y) be the second derivative of y**7/315 - y**6/180 - y**5/5 + y**4/3 - 3*y**2/2 + 4*y + 2. Let x(f) be the third derivative of q(f). Factor x(p).
4*(p - 2)*(2*p + 3)
Let h(w) be the third derivative of w**6/360 + 347*w**5/180 + 3827*w**4/9 + 14792*w**3/3 + w**2 + 44*w. Factor h(i).
(i + 3)*(i + 172)**2/3
Let a(j) = -j**3 - 117*j**2 - 18*j + 11370. Let d be a(-116). Suppose -8/11*y + 2/11*y**3 + 1/11*y**4 - 3/11*y**d - 4/11 = 0. Calculate y.
-2, -1, 2
Find g such that 162/5*g**2 - 22*g**3 + 6/5*g - 58/5 = 0.
-29/55, 1
Let u(n) = 12*n**2 - 27*n. Let j(k) be the third derivative of -k**5/60 + k**4/24 - 49*k**2. Let m(c) = 15*j(c) + u(c). Let m(q) = 0. What is q?
-4, 0
Determine q so that 4/7*q**2 - 2*q**4 + 0 + 1/7*q**5 + 33/7*q**3 - 44/7*q = 0.
-1, 0, 2, 11
Let w(l) = 2*l**2 + 11*l + 6. Let h(q) = 12*q**2 + 65*q + 36. Suppose 0 = -14*j - 249 + 725. Let p(f) = j*w(f) - 6*h(f). Factor p(t).
-4*(t + 1)*(t + 3)
Let j(h) = 27*h**2 + 20*h + 26. Let v(p) = 23*p**2 + 20*p + 25. Let o(w) = 6*j(w)