 20*l - 252697*l**4 - 65*l**3 + 252772*l**4 = 0. Calculate l.
-1, -4/5, 2/3, 2
Let t(u) = 18*u + 296. Let j be t(-17). Let y be -2*j*(-9)/(-36). Determine i so that -5/3*i**3 + 0 + 10/3*i - 5/3*i**y + 5*i**2 - 5*i**4 = 0.
-2, -1, 0, 1
Let v(d) = -20*d**3 + 95*d**2 + 5*d - 95. Let m be -3 + 13 + (-3 - 4). Let i(c) = -11*c**3 + 48*c**2 + 2*c - 48. Let z(b) = m*v(b) - 5*i(b). Factor z(k).
-5*(k - 9)*(k - 1)*(k + 1)
Factor 5*q**3 + 1 - 7*q**3 + 22 - 67*q**2 + 4 + q**5 + q + 27*q**4 + 13*q**2.
(q - 1)**2*(q + 1)**2*(q + 27)
Let o(u) be the first derivative of u**6/42 - 2*u**5/5 + 43*u**4/28 - 26*u**3/21 - 22*u**2/7 + 40*u/7 + 671. Let o(r) = 0. Calculate r.
-1, 1, 2, 10
Suppose 0 = 2*q + 5*y - 137 - 129, -3*y = -4*q + 558. Find j, given that -2671*j**4 + 1331*j**4 + 75*j + q*j**3 + 79*j**2 + 1376*j**4 + 3*j**5 + 101*j**2 = 0.
-5, -1, 0
Let -4/7*m**2 + 132 - 40/7*m = 0. What is m?
-21, 11
Let y(m) be the first derivative of -3*m**4/16 + 2*m**3 - 9*m**2/2 - 3809. Factor y(z).
-3*z*(z - 6)*(z - 2)/4
Let u(n) be the second derivative of 121*n**4/6 - 2860*n**3 + 152100*n**2 - 31*n - 67. Find w such that u(w) = 0.
390/11
Let c(o) be the third derivative of o**8/560 + o**7/14 + o**6/20 - 171*o**5/10 + 1377*o**4/8 - 7803*o**3/10 + 375*o**2. Determine y, given that c(y) = 0.
-17, 3
Let t(u) be the second derivative of u**4/72 - 671*u**3/18 + 450241*u**2/12 + 422*u - 3. Factor t(r).
(r - 671)**2/6
Let r(i) = -2*i**2 - 55*i. Let t = 114 + -115. Let v(d) = -d. Let g(n) = t*r(n) - 3*v(n). Find p, given that g(p) = 0.
-29, 0
Determine l, given that 5/3*l**2 - 110/3*l + 110/3*l**3 - 5/3 = 0.
-1, -1/22, 1
Suppose -16/5*g**2 + 76/5*g - 16 - 1/5*g**3 = 0. What is g?
-20, 2
Let -1582*w**5 - 270*w**3 + 393*w**5 + 398*w**5 + 2*w**4 + 2548*w + 399*w**5 + 742*w**2 + 394*w**5 = 0. What is w?
-13, -2, 0, 7
Let l(u) be the second derivative of u**4/42 - 115*u**3/7 - 694*u**2/7 - 1186*u. Solve l(d) = 0 for d.
-2, 347
Let i be 1/(-10) - 143/(-2030). Let d = i - -830/609. Let 0*x**2 + 2*x - d - 2/3*x**3 = 0. What is x?
-2, 1
Let b be 49 + (-22900)/250 - -45. Factor b*f**4 - 21/5*f + 12*f**2 + 3/5*f**5 + 0 - 54/5*f**3.
3*f*(f - 1)**3*(f + 7)/5
Let -5*u**3 - 368*u**2 - 28*u**4 + 90*u**3 + 93*u**3 + u**3 + 426*u - 180 + 2*u**5 - 31*u**3 = 0. What is u?
1, 2, 3, 5
Suppose -35*k**5 - 304/3*k**4 + 17/3*k + 2/3 - 280/3*k**3 - 22*k**2 = 0. What is k?
-1, -2/21, 1/5
Let q(b) be the first derivative of b**6/12 - 9*b**5/10 - 21*b**4/8 - 11*b**3/6 + 609. Factor q(v).
v**2*(v - 11)*(v + 1)**2/2
Let f(n) = 2485*n + 34792. Let u be f(-14). Factor 0 + 1/2*m - 1/4*m**u.
-m*(m - 2)/4
Let m(o) be the third derivative of o**8/112 - 2*o**7/5 - o**6/20 + 14*o**5/5 + o**4/8 - 14*o**3 + 5*o**2 + 14*o - 1. Find y, given that m(y) = 0.
-1, 1, 28
Let q(r) be the second derivative of 1/7*r**2 + 4 - 4/63*r**3 + 1/126*r**4 - 6*r. Factor q(n).
2*(n - 3)*(n - 1)/21
Let g be (-2)/(-71) + (-1066320)/(-255600). Suppose -9/10*p**4 - 26/5*p**2 - 3/10 - 11/5*p - g*p**3 = 0. Calculate p.
-3, -1, -1/3
Let t = 542 - 530. Let y(r) be the first derivative of -r**3 + 0*r**2 + t - 3/10*r**5 + 1/2*r + r**4. Let y(c) = 0. Calculate c.
-1/3, 1
Let z(a) be the first derivative of 2*a**5/15 - 181*a**4/3 + 66242*a**3/9 - 21720*a**2 + 21600*a - 8640. Find g such that z(g) = 0.
1, 180
Let d be ((-174)/(-78) - 2)/((-174)/(-1508)). Factor 5/2*n**d + 1 + 7/2*n.
(n + 1)*(5*n + 2)/2
Let w(b) = 34*b**2 + 1018*b - 479. Let y(l) = 6*l**2 + 203*l - 96. Let j(m) = -2*w(m) + 11*y(m). Factor j(s).
-(s - 98)*(2*s - 1)
Let j(a) be the third derivative of a**5/4 + 27*a**4/2 - 22*a**3 - 360*a**2 - 2*a. Let j(g) = 0. What is g?
-22, 2/5
Let o be (-10 + 36/(-6 + 10) - -1)*1. Factor o*c**3 + 4/9*c - 2/9*c**4 + 2/3*c**2 + 0.
-2*c*(c - 2)*(c + 1)**2/9
Let u be (-5632)/(-4224) - (1/1)/6. Find k, given that -2/3 - 1/3*k**2 + 1/6*k**3 - u*k = 0.
-1, 4
Suppose -19*k - 62*k - 39*k + 77*k = 0. Let y(m) be the third derivative of 0 + k*m + 1/120*m**5 + 1/4*m**3 + 1/12*m**4 - 25*m**2. Factor y(q).
(q + 1)*(q + 3)/2
Let r(n) = 2*n**2 + 2*n - 2. Let b be r(-2). Let a = -945365 - -2836097/3. Factor 14/3*v + 0*v**b + 4 - a*v**3.
-2*(v - 3)*(v + 1)*(v + 2)/3
Let d(t) be the first derivative of t**7/105 - t**6/20 - t**5/3 - 39*t**2/2 + 210. Let r(s) be the second derivative of d(s). Factor r(v).
2*v**2*(v - 5)*(v + 2)
Let u be (-16)/82*(-87043)/4246. Factor 1/4*z**u - 7/4*z**3 + 0*z + 3*z**2 + 0.
z**2*(z - 4)*(z - 3)/4
Let s(i) = i**2 + 4*i - 4. Suppose 47*q - 52*q = 0. Let h(b) = q*b - 7*b - b**2 + 14 - 6 - b**2. Let w(f) = 4*h(f) + 7*s(f). Factor w(p).
-(p - 2)*(p + 2)
Let k be ((-29)/58)/(2/4). Let s(b) = -26*b**5 - 28*b**3 + 56*b**2 - 18*b + 4. Let r(d) = 2*d**5 + d**4 - 2*d**2. Let u(c) = k*s(c) - 12*r(c). Factor u(f).
2*(f - 2)*(f - 1)**4
Let t = 840062 + -840059. Solve 0 + 10/3*f**t + 2*f**2 - 4/3*f = 0.
-1, 0, 2/5
Let p(b) be the first derivative of b**3/15 + 121*b**2/10 - 372*b/5 - 5093. Solve p(w) = 0.
-124, 3
Let l = -22899/20 + 5076/5. Let s = l - -130. Factor -x + s*x**2 + 3/4.
(x - 3)*(x - 1)/4
Let y(g) be the first derivative of -g**4 + 836*g**3/3 + 399. Suppose y(x) = 0. Calculate x.
0, 209
Let r(w) = -3*w**2 - 44*w - 26. Let j be r(-14). Factor 623*g**2 + 622*g**2 + 54*g - 1242*g**j - 57.
3*(g - 1)*(g + 19)
Let q(n) be the second derivative of n**6/36 - 11*n**5/24 + 25*n**4/8 - 45*n**3/4 + 45*n**2/2 - 2144*n. Factor q(s).
5*(s - 3)**3*(s - 2)/6
Let o = 34 - 14. Let v be 5*(-4 + (4 - 1))/(-1). Factor -z**v + 2*z**4 + 3*z**3 - o + 12 + 8.
-z**3*(z - 3)*(z + 1)
Let b(j) = j**3 + j**2 - 2*j - 1. Let d be b(-3). Let y = 83 + d. Factor 140*o - 40 - 34*o**3 - y*o**2 - 40*o + 49*o**3.
5*(o - 2)**2*(3*o - 2)
Let g(t) = -2*t + 43. Let c be g(19). Suppose 36 = c*s + 4*s. Suppose 235*v + 77*v**3 + 900*v**2 + 691*v**3 + 20 + 272*v**3 - 320*v**s = 0. What is v?
-1/4, 4
Let x(p) be the second derivative of p**6/120 + 57*p**5/8 - 1717*p**4/48 + 191*p**3/4 - 3917*p. Suppose x(g) = 0. Calculate g.
-573, 0, 1, 2
Let s(q) be the third derivative of -2*q**7/945 - 7*q**6/270 + 8*q**5/27 - 22*q**4/27 + 60*q**2 - 4*q + 7. Factor s(y).
-4*y*(y - 2)**2*(y + 11)/9
Let w be (58/(-4))/((-6)/948). Suppose -2*s**5 + 2*s**3 - 2*s**2 + 2*s**4 - 2291*s + w*s = 0. Calculate s.
-1, 0, 1
Suppose 120*w - 126*w + 72 = 0. Let -i**4 - w*i**2 + 12*i**3 - 12 + 12 - 24*i**2 = 0. Calculate i.
0, 6
Let k be (-11 - (-350)/28)/(6/20). Let c(s) be the third derivative of 1/90*s**k + 0*s**4 + 0 + 0*s**3 + 19*s**2 + 0*s - 1/90*s**6 + 1/315*s**7. Factor c(r).
2*r**2*(r - 1)**2/3
Let h(v) = 15*v**3 + 333*v**2 - 5418*v + 17802. Let a(j) = -6*j**3 - 133*j**2 + 2167*j - 7121. Let w(s) = 18*a(s) + 7*h(s). Factor w(x).
-3*(x - 6)**2*(x + 33)
Let a(j) = 408*j**3 + 2229*j**2 + 1950*j - 402. Let g(o) = -118*o**3 - 637*o**2 - 557*o + 115. Let l(c) = -5*a(c) - 18*g(c). Factor l(w).
3*(w + 2)**2*(28*w - 5)
Let h be (-2*(-14)/(-420))/((-20)/27). Let x(g) be the second derivative of 1/10*g**3 + 5*g + 0 - 1/5*g**4 + 0*g**2 + h*g**5. Let x(p) = 0. Calculate p.
0, 1/3, 1
Let l be 1*2 + -16 + 0 - -2. Let v be 4/l*-9*1. Suppose 2*z**4 - 2*z**4 + 3*z**3 - 2*z**4 + 4*z**2 + 2*z**5 - v*z**5 - 4*z = 0. Calculate z.
-2, 0, 1
Factor -6 - 3405/7*k - 243/7*k**2.
-3*(k + 14)*(81*k + 1)/7
Let g(p) = -4*p**2 - 7*p + 2. Let l(b) = 31*b**2 + 107*b - 204. Let h(a) = 40*g(a) + 5*l(a). Determine s, given that h(s) = 0.
4, 47
Let r(o) be the third derivative of -o**5/120 - 105*o**4/16 - 78*o**3 + 9259*o**2. Find b, given that r(b) = 0.
-312, -3
Let s = 21835 + -21835. Let z(d) be the third derivative of 9/35*d**5 + 81/14*d**4 + 1/210*d**6 - 22*d**2 + s + 0*d + 486/7*d**3. Factor z(y).
4*(y + 9)**3/7
Let w(p) be the second derivative of 1/4*p**4 + 76 - p - 3/2*p**3 + 5/2*p**2 + 1/20*p**5. Suppose w(b) = 0. Calculate b.
-5, 1
Suppose 0 = -4*b - 2*c + 1112, -3*c = -5*b - 4*c + 1390. Factor -7941*x - 2 + 7968*x - 83*x**3 + 348*x**2 + b*x**3 - 124*x**2.
(x + 1)*(5*x + 1)*(39*x - 2)
Let q(m) be the second derivative of 121*m**6/30 - 11*m**5/6 - 19*m**4/9 - 4*m**3/9 - 21*m + 16. Factor q(b).
b*(3*b - 2)*(11*b + 2)**2/3
Let i(t) be the second derivative of t**5/70 + 5*t**4/42 - 22*t**3/7 - 15*t - 3. Factor i(y).
2*y*(y - 6)*(y + 11)/7
Let i(b) = -b**4 - 28*b**3 + 617*b**2 - 3248*b + 2628. Let o(a) = 2*a**4 + 57*a**3 - 1234*a**2 + 6504*