3*c + 273. Factor z(n).
-4*(n - 43)*(n - 2)*(n + 1)
Let f be 33/((-726)/374) + (-121)/(-7). Factor 12/7*j**2 + f*j**3 - 12/7 - 2/7*j.
2*(j - 1)*(j + 1)*(j + 6)/7
Let l(f) = f**3 + 2*f**2 - 11*f - 103. Let a(j) = 2*j**3 + 3*j**2 - 23*j - 207. Let s(i) = 14*a(i) - 30*l(i). Factor s(r).
-2*(r - 3)*(r + 4)*(r + 8)
Suppose -3451*s + 3450*s + 5*a = 28, -4*a = -s - 22. Let 0*f**3 + 0 + 2/7*f**4 - 4/7*f - 6/7*f**s = 0. What is f?
-1, 0, 2
Let d(r) = 46*r**2 - 381*r - 1135. Let c(a) = 6*a**2 - 54*a - 162. Let p(l) = 15*c(l) - 2*d(l). Suppose p(w) = 0. What is w?
-20, -4
Let z(h) be the first derivative of -h**8/5040 + h**6/120 - h**5/90 - h**4/6 + 49*h**3/3 + 69. Let n(r) be the third derivative of z(r). What is l in n(l) = 0?
-3, -1, 2
Suppose -4*r - 126 = -10*r. Suppose r - 97 = -4*a. Factor 0*b**3 + 12*b**4 - b**5 - a*b**4 + 10*b**4 - 2*b**3.
-b**3*(b - 2)*(b - 1)
Let h(r) be the first derivative of r**5/60 - 17*r**4/24 + 15*r**2/2 + 27. Let c(m) be the second derivative of h(m). Solve c(y) = 0 for y.
0, 17
Let n be (88/77)/((-2)/(-14)). Let d be (-1)/30*-34 + n/(-24). Determine y so that 12/5 - d*y**2 + 8/5*y = 0.
-1, 3
Let f be 2/6*6/16*4*0. Let k(l) be the third derivative of 12*l**2 + 0 + 0*l**4 - 1/840*l**7 + f*l**5 + 0*l + 1/160*l**6 + 0*l**3. Determine x so that k(x) = 0.
0, 3
Let w(z) be the second derivative of -z**8/420 + z**6/90 + z**3/6 + z**2 + 42*z. Let r(s) be the second derivative of w(s). Solve r(p) = 0.
-1, 0, 1
Let i = 6612821/7 - 944673. Solve -2704/7 - 2/7*v**4 - i*v**3 - 4264/7*v - 1668/7*v**2 = 0 for v.
-26, -2, -1
Let c(f) be the first derivative of 1/16*f**4 - 6*f + 226 - 13/6*f**3 + 49/8*f**2. Determine g so that c(g) = 0.
1, 24
Let i = -32 + 46. Suppose -4*w + i = -2*z, w + 2*z + 0*z - 1 = 0. Solve -7*p**5 - 2*p**2 - 8*p**2 - 3*p**5 + 25*p**w - 5*p**4 = 0.
-2, 0, 1/2, 1
Determine j so that 26800/11*j - 1984/11 + 42692/11*j**3 - 338/11*j**4 - 96936/11*j**2 = 0.
2/13, 2, 124
Let j(s) = s**3 + 17*s**2 - 20*s + 2. Let x be j(-18). Let w be x/9 - 2/9. Factor 5*a**4 + a**w - 2*a**4 - 4*a**5.
-4*a**4*(a - 1)
Let r be 2 - 97 - (10 + -14). Let y be (260/r + 4)/2. Factor -12/7*d + y*d**3 + 8/7*d**2 + 0.
4*d*(d - 1)*(d + 3)/7
Let m(f) = 2880*f + 132482. Let z be m(-46). Suppose -2/17*p - 28/17 + 28/17*p**z + 2/17*p**3 = 0. Calculate p.
-14, -1, 1
Let a be ((-256)/176)/8*1/61. Let v = a - -1356/4697. Factor 0 - 2/7*y**2 - v*y.
-2*y*(y + 1)/7
Let f(h) = -h**2 - 15*h + 30. Let v be f(-16). Factor -2 + 6 + 3 + 1 + 2*c**3 + 4*c**2 - v*c.
2*(c - 1)**2*(c + 4)
Factor t**2 - 126*t + 44*t + 10 + 48*t + 41*t.
(t + 2)*(t + 5)
Let c = -1000 - -1027. Suppose -27 = -9*p - c. Factor p - 2/7*g**2 + 4/7*g.
-2*g*(g - 2)/7
Let i be 2/(912/(-2850)*10/(-12)). Let c(n) = -2*n - 8. Let k be c(-5). Factor i*y - 5/2*y**k - 5.
-5*(y - 2)*(y - 1)/2
Let k be (-2218)/(-140) - 280/(-784). Determine q, given that -k - 3/5*q**4 - 162/5*q - 6*q**3 - 108/5*q**2 = 0.
-3, -1
Suppose -10*i = 15*i - 50. Solve 33 + 28 + 7*p**i - 8*p**2 - 2 + 16*p + 42*p = 0 for p.
-1, 59
Let a(b) be the first derivative of -81*b**4/4 + 434*b**3 + 1281*b**2/2 - 102*b - 1485. Factor a(n).
-3*(n - 17)*(n + 1)*(27*n - 2)
Let q be ((-8)/10)/(414/(-345)). Let x be (-6)/(-4) + (-5)/6. Find k such that -q*k + 0 - x*k**2 = 0.
-1, 0
Let q(w) be the third derivative of w**5/45 + 181*w**4/9 + 722*w**3/9 - w**2 + 2215*w. What is s in q(s) = 0?
-361, -1
Let a(j) be the first derivative of j**5/4 + 725*j**4/16 - 365*j**3/6 + 8998. Find z, given that a(z) = 0.
-146, 0, 1
Let m(i) be the second derivative of 0*i**2 + 0*i**4 - 14*i - 3/2*i**3 + 0 - 1/160*i**5 + 1/480*i**6. Let l(s) be the second derivative of m(s). Factor l(a).
3*a*(a - 1)/4
Let q = 2265/686 + -3365/2058. Factor -1/3*o**2 + 2*o - q.
-(o - 5)*(o - 1)/3
Let s(p) = -p**2 + 36*p - 4. Let x be s(8). Suppose 157*v**3 + 10*v + 208*v**2 + x*v**4 - 25*v**5 + 40*v + 75*v**5 + 4 + 175*v**3 = 0. Calculate v.
-2, -1, -1/5
Let i(l) = 120*l**2 - 43929*l + 11160. Let f(g) = 20*g**2 - 7331*g + 1860. Let k(p) = 13*f(p) - 2*i(p). Suppose k(w) = 0. What is w?
1/4, 372
Let i = 171 + -167. Let l be 52/(-12) - (-1 - i). Factor -2/3*g + 0*g**2 + l*g**3 + 0.
2*g*(g - 1)*(g + 1)/3
Let y(w) be the third derivative of w**5/160 - 37*w**4/64 - 129*w**3/8 - w**2 - 434. Determine o, given that y(o) = 0.
-6, 43
Suppose -70/9*t - 16/9*t**2 + 2/9*t**3 + 196/3 = 0. Calculate t.
-6, 7
Let w(j) be the third derivative of -1/56*j**4 + 0*j + 0*j**3 + 3*j**2 - 1/280*j**6 - 4 + 1/70*j**5. Factor w(t).
-3*t*(t - 1)**2/7
Let o be (-8*(-9)/48 - (-3)/(-6))/15. Let k(p) be the first derivative of o*p**2 + 0*p**3 - 1/30*p**4 + 0*p + 5. Factor k(i).
-2*i*(i - 1)*(i + 1)/15
Let a(s) be the second derivative of 0*s**2 - 4/45*s**4 - 1/105*s**7 - 240*s + 1/25*s**5 - 1/15*s**3 + 0 + 8/225*s**6. Let a(v) = 0. What is v?
-1, -1/3, 0, 1, 3
Let z = 48 - 46. Suppose 180*l**z - 169*l**2 - 13*l - 2*l - 5*l - 4 = 0. Calculate l.
-2/11, 2
Let u(t) be the second derivative of -45/4*t**4 - 10125/2*t**2 + 675/2*t**3 + 3/20*t**5 + 0 - 126*t. Factor u(a).
3*(a - 15)**3
Let h(u) be the first derivative of u**6/4 + 141*u**5/5 + 6027*u**4/8 - 4802*u**3 - 4077. Suppose h(p) = 0. Calculate p.
-49, 0, 4
Suppose 559/2 + 1/4*w**2 - 69/4*w = 0. What is w?
26, 43
Let r = 3869 + -3869. Let y(t) be the second derivative of -1/3*t**4 - 2/3*t**3 - 25*t + r + 4*t**2. Factor y(m).
-4*(m - 1)*(m + 2)
Factor 9*i**2 + 241*i + 11*i**2 - 18*i**2 + 668 + 429*i.
2*(i + 1)*(i + 334)
Suppose 2*o = 5405*s - 5409*s + 72, -4*o = 3*s - 59. What is z in -66/5*z + 3/5*z**o - 24 + 3/5*z**3 = 0?
-4, -2, 5
Let x(u) be the first derivative of u**6/150 + 11*u**5/100 + u**4/4 - 14*u**3/3 + 2. Let m(c) be the third derivative of x(c). Solve m(b) = 0.
-5, -1/2
Let 6/5*t**3 - 10/3*t + 2/15*t**4 - 2/5*t**2 + 12/5 = 0. What is t?
-9, -2, 1
Let f(s) be the second derivative of -2*s**7/49 - 5*s**6/42 - s**5/10 - s**4/84 + 331*s. Factor f(q).
-q**2*(q + 1)**2*(12*q + 1)/7
Let h be (64/240)/((-40)/(-50)). Let g(j) be the second derivative of 0*j**3 + 5*j + 1/5*j**5 + 0 + 0*j**2 + h*j**4. Factor g(z).
4*z**2*(z + 1)
Let g = 361/1294 - -24535145/24586. Let y = g - 998. Factor -6/19*w**2 + 0*w + 0 + 2/19*w**4 + y*w**3.
2*w**2*(w - 1)*(w + 3)/19
Let h(b) = -b**2 - 2183*b - 8714. Let j be h(-4). Factor -15/2*r + 15/2*r**3 + 0 - 3/2*r**j + 3/2*r**4.
3*r*(r - 1)*(r + 1)*(r + 5)/2
Find z, given that z**5 - 379/2*z**2 + 337/2*z**3 - 101/2*z**4 + 0 + 141/2*z = 0.
0, 1, 3/2, 47
Let b(y) be the second derivative of -y**4/8 - 238*y**3 - 169932*y**2 + 3*y - 362. Factor b(w).
-3*(w + 476)**2/2
Let g = -3305 - -9955/3. Let o(x) be the third derivative of 0*x**5 + 11*x**2 + 5/2*x**4 - g*x**3 + 0 - 1/24*x**6 + 0*x. Suppose o(q) = 0. What is q?
-4, 2
Let k(b) be the second derivative of -7/27*b**3 + 4/3*b**2 + 1/54*b**4 + 32 - b. Suppose k(j) = 0. What is j?
3, 4
Let g(q) be the second derivative of -q**5/5 + q**4/8 - 17*q**2 + 166*q. Let f(m) be the first derivative of g(m). Factor f(y).
-3*y*(4*y - 1)
Let f(r) be the second derivative of -r**5/100 + 31*r**4/60 - 1205*r. Determine l, given that f(l) = 0.
0, 31
Let d(j) be the first derivative of -j**6/15 + 12*j**5/25 + 11*j**4/10 - 16*j**3/5 - 28*j**2/5 - 247. Determine l so that d(l) = 0.
-2, -1, 0, 2, 7
Suppose 17*i + 26 = 2*q + 19*i, q - 33*i = -293. Factor -4/3*d**q - 1/3*d**5 + 2/3*d**3 + 0 - 3*d + 4*d**2.
-d*(d - 1)**2*(d + 3)**2/3
Factor 474 - 59*p**2 + 77*p**2 - 81 + 90*p - 138*p - 363*p.
3*(p - 1)*(6*p - 131)
Let q(x) be the second derivative of 20*x**2 + 12 + 6*x + 35/12*x**4 + 1/4*x**5 + 35/3*x**3. Solve q(s) = 0.
-4, -2, -1
Let r(a) be the first derivative of a**7/9240 - a**6/1980 - a**5/440 - 29*a**3/3 - a + 12. Let d(u) be the third derivative of r(u). Factor d(g).
g*(g - 3)*(g + 1)/11
Let l(v) be the third derivative of -v**2 + 0 + 0*v**3 - 1/12*v**5 + 2*v - 5/6*v**4. Factor l(x).
-5*x*(x + 4)
Let j be 2*(5 - 5 - -1). Find b, given that 12*b - b**j + 2125 - 2125 = 0.
0, 12
Suppose 0 = 3*d - 374 + 368. Let h be d*(7 - 165/24). Find y, given that -15/4*y**2 - 7/4*y**4 - 19/4*y**3 - h*y + 1/2 = 0.
-1, 2/7
Let z(s) = -s**3 + 10*s**2 - 23*s + 8. Let m be z(7). Let b be (-4)/m*(9 + -6). Suppose -7/4*t**3 + 0*t - 1/2*t**5 + 1/2*t**b + 7/4*t**4 + 0 = 0. Calculate t.
0, 1/2, 1, 2
Let g = 130689/4 - 32672. So