cond derivative of -z**5/80 + 19*z**4/8 - 361*z**3/2 + 6859*z**2 - 157*z. Factor b(h).
-(h - 38)**3/4
Let o(a) = 11*a**3 - 6*a**2 + 10*a + 9. Let j(f) be the first derivative of -f**4/4 + f**3/3 - f**2/2 - f + 12. Let k(q) = 18*j(q) + 2*o(q). Factor k(y).
2*y*(y + 1)*(2*y + 1)
Suppose 0 = -k - 2*k + 6. Suppose -3*l - 5 = -3*q - 17, 0 = -l + 4. Determine t, given that -t**3 + t + q - 7*t**k + 0 + t**4 + 6*t**2 = 0.
-1, 0, 1
Find p such that -21/2 + 11/4*p + 1/4*p**2 = 0.
-14, 3
Let i(t) be the second derivative of -t**4/3 - 20*t**3/3 + 22*t**2 + 161*t. Factor i(s).
-4*(s - 1)*(s + 11)
Let y(i) = -8*i - 6. Let z(f) = f**2 + 11*f + 3*f**2 + 5 - 5*f**2 - 3*f. Let q be (-9)/6*12/(-9). Let o(g) = q*y(g) + 3*z(g). Solve o(a) = 0.
-1/3, 3
Let j(s) = -4*s**3 - 73*s**2 - 25*s - 120. Let q be j(-18). Find m such that -15/2*m**3 + 0 - 3/2*m**4 - q*m - 12*m**2 = 0.
-2, -1, 0
Suppose 4*r - 18 = -6. Factor 13*p**3 + 6*p**r - 16*p**3 + 3*p - 8*p**2 + 2.
(p - 2)*(p - 1)*(3*p + 1)
Let r = 0 - 36. Let t be r/(-15) - (-2)/(-5). Solve 10 - 67*o**3 + t + 208*o**2 - 176*o**3 - 73*o**2 + 96*o = 0 for o.
-2/9, 1
Let m = -64 - -64. Let 6*z**2 - z**2 + m*z**2 - 20 = 0. Calculate z.
-2, 2
Let x(i) be the third derivative of 0*i + 0 - 1/30*i**5 - 27*i**2 + 1/630*i**7 - 1/6*i**3 + 1/9*i**4 + 0*i**6. Solve x(l) = 0 for l.
-3, 1
Let i(w) be the second derivative of -w**4/21 + 26*w**3/21 - 72*w**2/7 + 6*w + 1. Find l such that i(l) = 0.
4, 9
Let x(c) = c**5 + 7*c**4 + 6*c**3 - 2*c**2 - 7*c + 3. Let p(m) = -m**4 - m**3 + m - 1. Let q(s) = -4*p(s) - x(s). Factor q(z).
-(z - 1)*(z + 1)**4
Suppose i - 3 = 4*i + 4*c, 2*i + 6 = -4*c. Let l(y) = -y**3 + 3*y**2 + y - 1. Let n be l(i). Find g such that 7*g + 0*g + n*g**5 - 7*g = 0.
0
Suppose -9 = -3*g - 0*g. Find o, given that -o**g - o**2 + 3*o**4 + 3*o - 2*o**2 - 2*o**3 = 0.
-1, 0, 1
Factor 0*s**2 + 2*s**2 + 35 + 0*s**2 - s**2 - 44.
(s - 3)*(s + 3)
Let r(v) be the second derivative of v**5/60 + v**4/12 + v**3/9 - 14*v. Find p, given that r(p) = 0.
-2, -1, 0
Solve 346 + 4*y**2 + 60*y + 28*y + 138 = 0 for y.
-11
Let l be (4 - (-299)/(-65))/((-27)/20). Factor l*c + 0 - 2/9*c**2.
-2*c*(c - 2)/9
Suppose 208 - 214 = -6*w. Factor -1/3*f**2 - 2/3*f + w.
-(f - 1)*(f + 3)/3
Solve -1293*d**3 + 0*d + 2*d**2 - 40*d**2 + 0*d + 1294*d**3 = 0.
0, 38
Let z be 2/(-3 + 68/20). Let k(a) = 2*a**2 + 3*a + 8. Let l(u) = u**2 + 2*u + 4. Let r(m) = z*l(m) - 2*k(m). Factor r(o).
(o + 2)**2
Let o(l) = 2*l**2 - l - 3. Let m be o(2). Find r, given that -9*r**2 + 4*r**m + 3*r**4 + 3*r**3 - r**3 = 0.
-3, 0, 1
Let p = -4 + 5. Let y = p - -3. What is u in 0*u**4 + u**2 - 2*u**4 + u**y = 0?
-1, 0, 1
Let c(n) be the second derivative of -n**4/28 + 3*n**3/7 - 12*n**2/7 + 112*n. Factor c(m).
-3*(m - 4)*(m - 2)/7
Let z = 37 - 39. Let l(m) = m**5 + m**2. Let s(q) = -4*q**5 + q**4 + 3*q**3 - 4*q**2 - 2*q. Let x(a) = z*s(a) - 6*l(a). Solve x(i) = 0.
-1, 0, 1, 2
Let h(r) be the first derivative of -3*r**4/32 - r**3 + 91. Suppose h(w) = 0. Calculate w.
-8, 0
Let q(w) = -6*w**2 - 6. Let n(d) be the first derivative of -d**3/3 - d**2/2 + 17. Let l(b) = 15*n(b) - 3*q(b). Determine v, given that l(v) = 0.
2, 3
Let f(a) = -a**2 - 23*a + 26. Let d(u) = u**2 - 15*u + 2. Let j be d(13). Let v be f(j). Factor 0 - 4/7*n**4 + 4/7*n**3 - 4/7*n + 4/7*n**v.
-4*n*(n - 1)**2*(n + 1)/7
Let 5/2*p + 75/4 - 5/4*p**2 = 0. What is p?
-3, 5
Let n(k) be the second derivative of 1/120*k**5 + 0*k**3 + 1/96*k**4 + 0 + 6*k + 1/480*k**6 + 2*k**2. Let h(i) be the first derivative of n(i). Factor h(x).
x*(x + 1)**2/4
Factor 4/5*x + 4/5*x**5 + 0 + 0*x**4 + 0*x**2 - 8/5*x**3.
4*x*(x - 1)**2*(x + 1)**2/5
Suppose -71*v**2 - 325 - 120 - 3*v**3 - 504*v + 13 - 4*v**2 = 0. Calculate v.
-12, -1
Suppose 5*b - 15 = 30. Determine p so that 2 + 4 + 7*p**2 - 4*p**2 + b*p = 0.
-2, -1
Solve 12/5*l**2 + 24/5*l - 32/5 - 4/5*l**3 = 0.
-2, 1, 4
Factor -2/5*u**2 - 6/5 + 8/5*u**4 + 13/5*u - 12/5*u**3 - 1/5*u**5.
-(u - 6)*(u - 1)**3*(u + 1)/5
Factor -83*v**3 - 93*v**3 - 650*v + 250 + 66*v**3 - 102*v**3 - 2*v**5 + 34*v**4 + 580*v**2.
-2*(v - 5)**3*(v - 1)**2
Let s(y) be the third derivative of 9*y**6/200 - 19*y**5/100 - y**4/5 + 2*y**3 + 7*y**2 - 29*y. Factor s(n).
3*(n - 2)*(n + 1)*(9*n - 10)/5
Let a be (15 - 2)/(2/6). Suppose -3 = x - a. Factor -18*o**2 + x*o**3 + 4*o - 27*o**4 - 1/3.
-(3*o - 1)**4/3
Let a be (-4)/(-12)*3 + (-6)/(-3). Suppose l + 2*i = 4, -2*l + 3 = -0*i - i. Solve -6 - l*r - 28*r**a + 11*r + 25*r**3 = 0 for r.
-2, 1
Let x(s) be the second derivative of s**6/75 + 11*s**5/50 + 7*s**4/15 - 44*s**3/15 - 72*s**2/5 - 297*s. Determine w so that x(w) = 0.
-9, -2, 2
Let k(j) = -j**2 - 2*j + 9. Let q be k(0). Factor 4*v**4 + q*v**2 + 0*v**2 + 12*v**3 + 3*v**4 - 4*v**4.
3*v**2*(v + 1)*(v + 3)
Let h(n) = -n**3 - 3*n**2 - 12. Let j(t) = -t**3 - 3*t**2 - 12. Let w(v) = -5*h(v) + 4*j(v). Let z(g) be the first derivative of w(g). Factor z(a).
3*a*(a + 2)
Let f(z) be the second derivative of -z**7/315 + 4*z**6/225 + 7*z**5/150 - z**4/9 + 379*z. Find s such that f(s) = 0.
-2, 0, 1, 5
Let s be 10*(-14)/(-35)*(-6)/(-8). Find t such that 14*t**3 - 14*t**s - 4*t**2 + 2 + 0*t**2 + 2*t**4 = 0.
-1, 1
Let l(k) = -k**2 + k + 2. Let x(m) = 32*m**2 + 716*m - 536. Let r(w) = 20*l(w) + x(w). Solve r(a) = 0.
-62, 2/3
Let y(p) be the third derivative of -p**7/280 + p**5/40 - 9*p**3/2 + p**2 - 23. Let k(o) be the first derivative of y(o). Factor k(l).
-3*l*(l - 1)*(l + 1)
Let d be (135/(-108))/((-10)/12). Let q(s) be the second derivative of 0 + 0*s**5 + 0*s**3 + 3*s + 1/10*s**6 - 1/2*s**4 + d*s**2. Find u, given that q(u) = 0.
-1, 1
Let n(o) be the second derivative of -o**6/10 + 3*o**5/5 - 3*o**4/4 - 2*o**3 + 6*o**2 - 3*o - 21. Factor n(r).
-3*(r - 2)**2*(r - 1)*(r + 1)
Let j(g) = g**3 - g**2 + 3. Let a be j(0). Let k be 14/2*(-17 - (-8360)/490). Factor 0*w**2 - 12/7*w - k*w**4 + 9/7*w**a + 0.
-3*w*(w - 2)**2*(w + 1)/7
Let z(s) be the first derivative of s**4/2 - 44*s**3 + 1452*s**2 - 21296*s + 75. What is o in z(o) = 0?
22
Suppose -4*k = 20, 3*z = 4*z - k - 9. Find n such that 24*n + 26*n + n**z + 6*n**2 - 14*n + 4*n + 25 - 8*n**3 = 0.
-1, 5
Solve 1254*i + 436 + 108*i**2 + 281 - 10*i**3 - 44*i**3 + 3*i**4 + 372 = 0 for i.
-3, -1, 11
Let i(n) = -n + 1. Let g be 1 - 7 - (13 - 13). Let p(c) = 25*c**2 + 26*c - 2. Let v(d) = g*i(d) - p(d). Solve v(t) = 0.
-2/5
Let z = 136 - -69. Find t, given that -103*t**3 - 15*t + z*t**3 - 103*t**3 + 7 + 9*t**2 = 0.
1, 7
Let j(c) be the second derivative of -c**4/66 - 27*c**3/11 + 82*c**2/11 + 30*c + 2. Factor j(d).
-2*(d - 1)*(d + 82)/11
Let m(l) = -l**3 - 6*l**2 + 13*l + 8. Let f be m(-6). Let i = 72 + f. Let 2/9*q**i + 2/9*q - 2/9*q**3 + 0 - 2/9*q**4 = 0. Calculate q.
-1, 0, 1
Suppose -o + 1 = 0, d = 5*o - 5 - 1. Let p = 7 + d. Factor 4/5 - p*a**2 - 2/5*a.
-2*(3*a - 1)*(5*a + 2)/5
Determine t, given that -7 - 2*t - 1/7*t**2 = 0.
-7
Let t(d) be the second derivative of 1/4*d**5 + 35/12*d**4 + 25/2*d**2 + 12 + 55/6*d**3 + d. Factor t(m).
5*(m + 1)**2*(m + 5)
Let o(n) be the second derivative of n**4/24 + 2*n**3/3 - 5*n**2 - 97*n. Factor o(w).
(w - 2)*(w + 10)/2
Suppose 0*u + 3/8*u**4 + 0*u**3 - 1/2*u**2 - 1/8*u**5 + 0 = 0. Calculate u.
-1, 0, 2
Factor 1/2*v**2 + 13 - 27/2*v.
(v - 26)*(v - 1)/2
Let u(p) = -3*p + 50. Let v be u(15). Factor -5*m**2 - m**4 + m**3 - v*m**5 + 6*m**4 + 4*m**3.
-5*m**2*(m - 1)**2*(m + 1)
Suppose 4*h + 0*h - 56 = 0. Suppose -2 = 3*w - h. Solve -134/3*m**3 + 46/3*m**2 + 32/3*m - 98/3*m**5 - 238/3*m**w - 8/3 = 0 for m.
-1, 2/7
Let r(u) be the first derivative of -u**5 - 5*u**4/2 - 5*u**3/3 + 65. Determine i, given that r(i) = 0.
-1, 0
Let s(a) = -3*a - 1. Let c(i) = -2*i**3 + 34*i**2 + 42*i + 2. Let k(n) = -2*c(n) - 4*s(n). Factor k(t).
4*t*(t - 18)*(t + 1)
Factor -3*l**5 + 9*l**3 + 14417 - 14417 + 6*l**2.
-3*l**2*(l - 2)*(l + 1)**2
Let u(v) be the second derivative of 0*v**2 + 32*v + 16/15*v**4 - 3/5*v**5 - 18/25*v**6 + 8/15*v**3 + 0. Solve u(z) = 0 for z.
-1, -2/9, 0, 2/3
Let v be (-24)/(-15) + -2 + (-16)/(-40). Let m be (6/(-6))/((-10)/4 - v). Solve 2*t - m*t**2 - 4/5 - 4/5*t**3 = 0 for t.
-2, 1/2, 1
Let a(j) be the second derivative of -11*j**7/63 + 38*j**6/135 + 7*j**5/10 - 2*j**4/9 - 4*j**3/27 - 137*j. Find k, given that a(k) = 0.
-1, -2/11, 0, 1/3, 2
Let k(o) be the second 