j**6 - 10*j. Factor l(o).
-o**2*(o - 1)**2*(2*o - 1)/6
Suppose 2*l - 2*y - 4 - 4 = 0, -28 = -2*l - 3*y. Factor 19*k**2 + 6 + 0*k**2 - 17*k**2 + l*k.
2*(k + 1)*(k + 3)
Determine m so that 17*m**2 - 43*m - 17*m**2 - 5*m**3 + 58*m - 10 = 0.
-2, 1
Suppose 2*k + 3*k - 75 = 0. Determine a so that 4*a**2 - 24*a**2 - 5*a**3 + 0*a - 5*a - k*a = 0.
-2, 0
Find j such that 6/7*j**5 - 6*j**4 + 0 + 36/7*j**3 + 0*j**2 + 0*j = 0.
0, 1, 6
Factor -10*s**2 - 1152/5 + 96*s.
-2*(5*s - 24)**2/5
Let u = 5807/9695 + 2/1939. Find z, given that u*z**3 - 3/5*z + 0*z**2 + 0 = 0.
-1, 0, 1
Let r(m) be the second derivative of -m**4/54 + m**3/27 - 30*m + 2. Factor r(u).
-2*u*(u - 1)/9
Let p(o) be the first derivative of -3*o**4/32 + 29*o**3/24 - 19*o**2/8 - 2*o + 179. Find k, given that p(k) = 0.
-1/3, 2, 8
Let z(g) = -g**2 - 1. Let k be (-3 - (1 - 3))*1. Let r(b) = -4*b**2. Let s(p) = k*r(p) + 2*z(p). Find i such that s(i) = 0.
-1, 1
Let t(o) be the second derivative of -o**6/6 - 5*o**5/4 - 15*o**4/4 - 35*o**3/6 - 5*o**2 + 127*o. Factor t(l).
-5*(l + 1)**3*(l + 2)
Let i(o) be the first derivative of 3*o**4/2 - 52*o**3/3 + 43*o**2 - 40*o - 265. Factor i(q).
2*(q - 1)**2*(3*q - 20)
Factor 6/7 + 2/7*u - 6/7*u**2 - 2/7*u**3.
-2*(u - 1)*(u + 1)*(u + 3)/7
Let n(l) be the first derivative of 2*l**5/35 - 4*l**4/7 + 32*l**3/21 + 62. Factor n(s).
2*s**2*(s - 4)**2/7
Let k be (-22)/(-132) + (-2)/(-4). Let p(b) be the first derivative of 49/12*b**4 + 0*b + 28/9*b**3 + k*b**2 + 4. Factor p(l).
l*(7*l + 2)**2/3
Factor 99/5*o**3 + 1/5*o**5 + 0 + 81/5*o**2 + 19/5*o**4 + 0*o.
o**2*(o + 1)*(o + 9)**2/5
Let t(a) be the second derivative of a**5/70 + a**4/42 - 91*a. Factor t(y).
2*y**2*(y + 1)/7
Let s(w) be the first derivative of -49*w**6/360 - 7*w**5/120 + w**4/4 + w**3 + 47. Let k(f) be the third derivative of s(f). Factor k(z).
-(7*z - 2)*(7*z + 3)
Let t(r) = 78*r**4 - 1377*r**3 - 1434*r**2 - 480*r - 57. Let n(p) = 77*p**4 - 1377*p**3 - 1435*p**2 - 479*p - 58. Let b(l) = 3*n(l) - 4*t(l). Factor b(a).
-3*(a - 18)*(3*a + 1)**3
Let w(x) be the second derivative of 0 - 1/10*x**5 + 0*x**4 - 14*x + 1/42*x**7 + 1/6*x**3 + 0*x**6 + 0*x**2. Factor w(j).
j*(j - 1)**2*(j + 1)**2
Let z be 2/(10*(49/(-147) + (-17)/(-15))). Let 9/4*a + z*a**2 + 0 = 0. What is a?
-9, 0
Let z(k) be the first derivative of -k**4/3 - 2*k**3 - 31*k - 13. Let l(n) be the first derivative of z(n). Factor l(u).
-4*u*(u + 3)
Suppose -10658/5 - 2/5*s**2 + 292/5*s = 0. What is s?
73
Suppose 2*q = c - 2*c - 57, -5*q - 145 = 5*c. Let x be q/(-10) - -2 - (-100)/(-25). Solve x*o**2 - 3/5*o**5 + 1/5*o + 2/5*o**3 + 0 - 4/5*o**4 = 0.
-1, -1/3, 0, 1
Suppose -168*v + 194*v**3 + 336*v**4 - 73*v**5 - 334*v**5 - 169*v**5 + 1285*v**3 + 12 + 387*v**2 = 0. Calculate v.
-1, -2/3, 1/8, 2
Suppose -295 = 4*h - 23. Let q(b) = -3*b + b**2 + 3 - 3*b**2 + 4*b. Let u(c) = 22*c**2 - 10*c - 34. Let x(o) = h*q(o) - 6*u(o). Factor x(n).
4*n*(n - 2)
Let r(v) be the second derivative of 0*v**2 + 1/20*v**5 + 1/60*v**6 + 0*v**3 + 0 - 29*v + 1/24*v**4. Find j, given that r(j) = 0.
-1, 0
Determine x, given that 272*x**2 - 88*x**4 + 428*x + 168 + 93*x**3 - 5*x**5 + x**5 - 165*x**3 = 0.
-21, -1, 2
Factor 202*a**2 - 1500 + 20*a**4 + 25*a**2 + 1600*a + 275*a**2 + 288*a**3 + 818*a**2.
4*(a + 5)**3*(5*a - 3)
Suppose -41*r = -64 - 59. Let j(q) be the second derivative of 3/10*q**r - 14*q + 0*q**2 + 3/100*q**5 + 0 + 1/5*q**4. Let j(t) = 0. What is t?
-3, -1, 0
Let g be 865/(-225) - (2 + -6). Let r(b) be the second derivative of 0 - 1/6*b**4 - g*b**6 + 2*b - 2/9*b**3 + 0*b**2 + 2/5*b**5. Factor r(h).
-2*h*(h - 1)**2*(7*h + 2)/3
Let m(k) = 11*k**4 - 237*k**3 + 691*k**2 - 175*k. Let u(p) = -2*p**4 - p**2 + p. Let v(y) = m(y) - 5*u(y). Determine a so that v(a) = 0.
0, 2/7, 5, 6
Let p(n) be the first derivative of 2*n**6/39 - 22*n**5/65 - 40*n**4/13 - 194*n**3/39 - 30*n**2/13 - 172. Let p(z) = 0. Calculate z.
-3, -1, -1/2, 0, 10
Let n(s) be the first derivative of 1/9*s**3 + 1/6*s**2 - 2 + 2*s + 1/36*s**4. Let u(g) be the first derivative of n(g). Find r, given that u(r) = 0.
-1
Let g(j) be the second derivative of -125*j**7/294 + 5*j**6/42 + j**5/28 - j**4/84 - 56*j. Find u such that g(u) = 0.
-1/5, 0, 1/5
Let a(i) = -258*i + 774. Let m be a(3). Let z be (2 - 2)/((-1)/(-1)). Factor m*g + 5/2*g**2 + z.
5*g**2/2
Let g(z) = -4*z**2 - 1. Let b(x) = -18*x**2 + 34*x - 5. Let p(v) = -b(v) + 5*g(v). Factor p(t).
-2*t*(t + 17)
Let p be 50/(-15)*3/((-45)/(-348)). Let j = -76 - p. What is l in -j*l**2 - 2/3*l**3 + 0 - 2/3*l = 0?
-1, 0
Let d be ((-16)/4 - -3)/((-23)/(-2) + -12). Factor -2/5*j**3 - d*j + 8/5*j**2 + 4/5.
-2*(j - 2)*(j - 1)**2/5
Let k = -14858 - -14862. Factor 6*f**k + 32/3*f**2 - 16*f**3 - 2/3*f**5 + 0*f + 0.
-2*f**2*(f - 4)**2*(f - 1)/3
Let r(v) be the third derivative of 0 + 9*v**2 + 1/20*v**5 + 25/2*v**3 - 5/4*v**4 + 0*v. Factor r(l).
3*(l - 5)**2
Let r be 9 - 0*1/(-1). Let b be (1 + -4)*(-15)/r. Factor -12/5*v**2 - 3*v**4 - 3/5*v**b - 24/5*v**3 + 0 + 0*v.
-3*v**2*(v + 1)*(v + 2)**2/5
Let b = 27 - 23. Let s = 10 - b. Factor 4*l**2 - 2/3*l**3 - s*l + 0.
-2*l*(l - 3)**2/3
Let y be -1 - ((-5)/10)/(2/(-142)). Let b = 38 + y. Factor 1/2 + u - b*u**2.
-(u - 1)*(3*u + 1)/2
Let d(o) = -o**4 + o. Suppose -40*x + 37*x = -3. Let j(v) = 2*v**4 - 10*v**3 + 5*v**2 + 3*v. Let r(p) = x*j(p) - 3*d(p). Factor r(s).
5*s**2*(s - 1)**2
Factor 1/2*l**5 - 2*l**4 - 22*l**2 - 4 - 31/2*l - 13*l**3.
(l - 8)*(l + 1)**4/2
Let s be (655/210 - 3)/(2 - -3). Let y(c) be the second derivative of s*c**4 + 1/7*c**2 - 4*c - 2/21*c**3 + 0. Find h, given that y(h) = 0.
1
Suppose 272/9*v**3 + 0*v + 56/9*v**2 + 310/9*v**4 - 50/9*v**5 + 0 = 0. Calculate v.
-2/5, 0, 7
Let d = -211 + 224. Let n be (-2)/4 - (702/(-84))/d. Find x, given that -n + 0*x + 1/7*x**2 = 0.
-1, 1
Let c(k) be the second derivative of 0 - 25/2*k**2 - 3*k + 5/12*k**4 - 10/3*k**3. Let c(x) = 0. What is x?
-1, 5
Let j be 2 - (2208/1120 + (-2)/5). Find z, given that -3/7*z**2 + 1/7*z - 1/7*z**4 + j*z**3 + 0 = 0.
0, 1
Let k(v) = -v**2 + 5*v - 4. Let w be k(4). Let n(f) be the third derivative of 0*f**3 + 1/210*f**5 + 4*f**2 - 1/84*f**4 + w + 0*f. Factor n(r).
2*r*(r - 1)/7
Let t(s) be the third derivative of 11/4*s**5 + 0*s + 1/420*s**7 + 250/3*s**3 + 325/12*s**4 + 31/240*s**6 + 15*s**2 + 0. Find v, given that t(v) = 0.
-10, -1
Let h be 4/(-2)*(7 + -4)*(-8)/24. What is r in -5/3*r**3 + 8/3*r - 7/3*r**h + 4/3 = 0?
-2, -2/5, 1
Let j(x) be the first derivative of -2*x**5/15 - x**4/6 + 16*x**3/9 + 4*x**2 + 103. Solve j(i) = 0 for i.
-2, 0, 3
Factor 0 - 1/5*y + 1/10*y**2.
y*(y - 2)/10
Let h(v) = v - 1. Let p(a) = -2*a**2 - 2*a + 5. Let b(z) = 2*z**2 + 3*z - 5. Let l(o) = 3*b(o) + 2*p(o). Let r(w) = 5*h(w) - l(w). Let r(s) = 0. What is s?
0
Let d = -741 - -744. Let p(s) be the second derivative of -7*s - 4*s**2 - 1/3*s**4 + 0 + 2*s**d. Factor p(k).
-4*(k - 2)*(k - 1)
Suppose 2*h + i = 11, 2*i - 19 = -3*h - 0*i. Suppose 0 = 2*o - v - 2, h*o + v + 4 = 6*o. Factor 0 + 0*s + 1/3*s**o.
s**2/3
Let o = 1128 + -1125. Let p(q) be the third derivative of 0*q - 2*q**o - 13/6*q**4 + 0 - 4/15*q**5 - 7*q**2. Find z, given that p(z) = 0.
-3, -1/4
Let b(y) = -y**2 - 3*y + 7. Let t be b(-4). Let 2*w**2 - 4*w**t - 5*w**2 + 0*w**2 + 8*w - w**2 = 0. What is w?
-2, 0, 1
Let m(n) be the second derivative of -n**7/126 - 2*n**6/15 - n**5/3 + n**4/18 + 7*n**3/6 + 5*n**2/3 - 23*n + 2. Determine g so that m(g) = 0.
-10, -1, 1
Let u(v) = -v**2. Suppose -4*q + q = 2*b - 64, -5*b = 3*q - 70. Let h(w) = 12*w**2 + 4*w. Let s(o) = q*u(o) + 2*h(o). Solve s(p) = 0 for p.
-2, 0
Suppose -p + 4*p + 2*q - 10 = 0, 4*p = -5*q + 18. Let z(d) be the first derivative of 3*d**p + 16*d + 0*d**3 - 4*d + d**3 + 3 - 9*d**2. Let z(a) = 0. What is a?
2
Let y = -8971/9 + 997. Let l(b) be the first derivative of -b**4 + 0*b + 8/3*b**2 + y*b**6 - 16/9*b**3 - 10 + 8/15*b**5. Factor l(o).
4*o*(o - 1)**2*(o + 2)**2/3
Let d(w) be the first derivative of 25/3*w**3 - 32 - 10*w - 15/2*w**2. Let d(r) = 0. Calculate r.
-2/5, 1
Let s(z) be the third derivative of z**7/1260 + z**6/720 - z**5/60 - z**4/36 + 2*z**3/9 + 5*z**2 + 4*z. Suppose s(p) = 0. What is p?
-2, 1, 2
Suppose -9*q + r - 8 = -14*q, 0 = -3*r - 6. Factor 8 - 23*h - h**2 + 16*h + 0*h**q.
-(h - 1)*(h + 8)
Determine s so that 11 - 200*s**3 - 10*s**2