 6*r + 1/2*r**5 - 5*r**4 + 29/2*r**3 - 16*r**2.
r*(r - 6)*(r - 2)*(r - 1)**2/2
Let z(o) be the first derivative of -3*o**5/5 + 3*o**4 + 6*o**3 - 6*o**2 - 15*o - 469. Factor z(h).
-3*(h - 5)*(h - 1)*(h + 1)**2
Suppose 10*d = 8*d + 70. Let g be ((-5)/d - (-9)/14)*0. Factor 2/11*n**4 + g + 8/11*n**3 + 4/11*n + 10/11*n**2.
2*n*(n + 1)**2*(n + 2)/11
Let i be (8274/(-210) + 40)*-5*(-8)/126. Solve -2/21 - 2/21*b**2 - i*b = 0 for b.
-1
Let k(v) = -33*v**3 + 46*v**2 + 63*v - 21. Let b(a) = a**3 - a - 1. Let y(l) = -5*b(l) + k(l). Factor y(m).
-2*(m - 2)*(m + 1)*(19*m - 4)
Determine c so that -10 - 1269/2*c**2 + 4131/4*c**3 - 729/4*c**4 + 137*c = 0.
2/9, 5
Suppose 2*y + 12 = -4*y. Let h be y/(100/(-15))*2. What is z in 0 - 1/5*z - 3/5*z**2 - h*z**3 - 1/5*z**4 = 0?
-1, 0
Let q(j) be the second derivative of j**7/280 - j**5/40 + 19*j**3/3 + 12*j - 2. Let k(o) be the second derivative of q(o). Suppose k(i) = 0. Calculate i.
-1, 0, 1
Let j(t) = 41*t + 945. Let z be j(-23). Factor 0 - 2/3*f**4 - 1/3*f + 2/3*f**z + 0*f**3 + 1/3*f**5.
f*(f - 1)**3*(f + 1)/3
Determine p, given that 4/7*p**2 + 0 - 4*p = 0.
0, 7
Let q(f) = f**3 + 4*f**2 - 5*f + 2. Let w be q(-5). Solve 105 + 3*k**2 + k - w*k + 43*k + 42 = 0 for k.
-7
Let u(i) be the second derivative of -i**6/2 - 8*i**5 - 235*i**4/12 - 15*i**3 + 50*i. Factor u(w).
-5*w*(w + 1)*(w + 9)*(3*w + 2)
Let d = 2 + -2. Determine h so that 5*h**4 - 14*h**2 + 0 - 10*h + d - h**2 = 0.
-1, 0, 2
Let k(n) be the second derivative of n**7/1890 - n**6/1080 - n**5/270 + 37*n**2/2 + 46*n. Let d(t) be the first derivative of k(t). What is f in d(f) = 0?
-1, 0, 2
Let b(h) be the second derivative of 0*h**2 - 161/50*h**5 + 0 - 64/15*h**3 - 88/15*h**4 - 29*h - 49/75*h**6. Factor b(g).
-2*g*(g + 1)*(7*g + 8)**2/5
Suppose 83*g + 153*g - 144 = 188*g. Factor 0 + 8/23*c + 16/23*c**2 + 2/23*c**4 + 10/23*c**g.
2*c*(c + 1)*(c + 2)**2/23
Suppose 0 = -2*v - 0*v. Let f be (-70)/(-5) + -8 + -4. Factor 3/2*c**f + 0*c + v.
3*c**2/2
Let c(o) be the second derivative of -2*o**7/21 + 2*o**5/5 - 2*o**3/3 + 2*o - 8. Factor c(f).
-4*f*(f - 1)**2*(f + 1)**2
Let h(a) be the second derivative of 2*a - 13/100*a**5 + 0*a**3 + 1/30*a**4 - 3/70*a**7 + 0*a**2 + 2/15*a**6 + 0. Find y, given that h(y) = 0.
0, 2/9, 1
Factor 4*h + 4*h**3 + 0*h**3 + 27*h**2 - 24 - 2*h**2 - 9*h**2.
4*(h - 1)*(h + 2)*(h + 3)
Let b(i) be the second derivative of -i**6/360 + i**5/90 + 12*i**2 - 21*i. Let n(v) be the first derivative of b(v). Solve n(s) = 0.
0, 2
Let z(a) be the third derivative of 5/12*a**4 + 11*a**2 + 0 - 1/42*a**7 + 1/12*a**5 - 1/12*a**6 + 0*a**3 + 0*a. Determine s, given that z(s) = 0.
-2, -1, 0, 1
Let k(z) be the third derivative of 0*z**3 + 0 + 1/3*z**5 - z**4 - 1/30*z**6 - 15*z**2 + 0*z. Determine a so that k(a) = 0.
0, 2, 3
Determine d, given that -2 - 12*d - 348*d**2 + 343*d**2 - 5 = 0.
-7/5, -1
Let p(t) be the first derivative of -1/24*t**6 + 0*t**5 - 4 + 0*t + 0*t**3 - 1/8*t**2 + 1/8*t**4. Factor p(k).
-k*(k - 1)**2*(k + 1)**2/4
Let q = -5 + 13. Let r be q/(2/(2 + 6)). Find i such that -6*i - r - 4*i**5 + 116*i**3 - 138*i - 88*i**2 + 120*i**4 + 32*i**5 = 0.
-2, -1, -2/7, 1
Let v(y) be the second derivative of y**6/60 + y**5/30 - y**4/12 - y**3/3 + y**2 + 5*y. Let c(s) be the first derivative of v(s). Solve c(u) = 0.
-1, 1
Let z(k) = -k**2 - 9*k - 12. Let j be z(-5). Suppose 4*i + 16 = j*i. Determine y so that 4/3*y**3 - 2*y**2 + 2*y**i - 4/3*y + 0 = 0.
-1, -2/3, 0, 1
Suppose -f + 1 = 0, -2*f + 80 = -6*p + 3*p. Let v = p + 26. Factor v - 2/3*g + 4/3*g**2 - 4/3*g**4 + 2/3*g**5 + 0*g**3.
2*g*(g - 1)**3*(g + 1)/3
Let l(c) be the first derivative of -c**4/36 - 13*c**3/9 - 25*c**2/6 - 37*c/9 + 2. Factor l(t).
-(t + 1)**2*(t + 37)/9
Let j be (-24)/40 - 2/20*-106. Let x = 78/7 - j. Solve -x + 12/7*g**2 - 4/7*g = 0 for g.
-2/3, 1
Let i(x) be the third derivative of -x**5/12 + 115*x**4/6 - 18*x**2. Find p such that i(p) = 0.
0, 92
Let f be ((-3)/6)/(1/(-4)). Suppose 2*n + f*n = 20. Suppose q**n - 4*q**5 + 8*q**5 - 5*q**4 = 0. Calculate q.
0, 1
Suppose -18 = 9*h + 792. Let b be (-2)/6 + (-30)/h. Factor -2/13*y**2 + b - 4/13*y.
-2*y*(y + 2)/13
Let h(x) be the second derivative of x**4/126 + 125*x**3/63 - 6*x**2 + 185*x. Factor h(w).
2*(w - 1)*(w + 126)/21
Let f(l) be the third derivative of 1/90*l**5 - 1/90*l**6 + 0 - l**2 + 1/18*l**4 - 1/315*l**7 + 0*l**3 + 0*l. Determine i, given that f(i) = 0.
-2, -1, 0, 1
Let u(n) = -n**5 + 3*n**4 - 35*n**3 + 65*n**2 - 64*n + 24. Let x(a) = a**4 - a**3 + a**2 + a - 1. Let d(r) = 5*u(r) + 40*x(r). Suppose d(j) = 0. Calculate j.
1, 4
Let w(f) = -f**3 + f**2 + 10*f - 1. Let b be w(-3). Find m such that 45*m - 6 + b*m**3 - 4*m**2 - 14 - 26*m**2 = 0.
1, 4
Suppose 294*f + 8 = 298*f. Factor 0 + 3*l**3 + 12/7*l + 48/7*l**f.
3*l*(l + 2)*(7*l + 2)/7
Let f(j) be the first derivative of -j**7/1260 - j**6/180 + j**4/9 - 35*j**3/3 + 24. Let p(w) be the third derivative of f(w). Solve p(v) = 0 for v.
-2, 1
Let r(g) be the first derivative of -2*g**5/5 + 5*g**4/8 + g**3/2 - 5*g**2/4 + g/2 + 66. Find h, given that r(h) = 0.
-1, 1/4, 1
Let l(z) = z. Let o(i) = 3*i**3 + 36*i**2 + 141*i + 150. Suppose -5*c - 5 = -2*v, -c - 8*v = -6*v - 11. Let y(m) = c*o(m) - 6*l(m). Find u such that y(u) = 0.
-5, -2
Let s(z) = -z**3 - z**2 + z - 2. Let u(i) = -12*i**3 + 16*i**2 + 47*i - 2. Let t(y) = 35*s(y) - 5*u(y). Find l, given that t(l) = 0.
-1, -2/5, 6
Suppose -63*s + 3*d = -60*s - 12, 4*s = -2*d + 16. What is n in 0 - 4/5*n**3 + 0*n**s + 0*n**2 + 2/5*n + 2/5*n**5 = 0?
-1, 0, 1
Let c = 3643 - 3643. Factor -4/13*r**3 + 0*r - 2/13*r**4 + 0 + c*r**2.
-2*r**3*(r + 2)/13
Solve -32/7 - 4/7*s**2 - 24/7*s = 0 for s.
-4, -2
Let x(k) = -7*k**2 - 340*k - 345. Let s(l) = -5*l**2 - 340*l - 345. Let w(f) = 6*s(f) - 5*x(f). Solve w(n) = 0 for n.
-1, 69
Let z(v) be the second derivative of 1/60*v**4 + 0*v**2 + 0 - 1/15*v**3 + 45*v. Solve z(f) = 0 for f.
0, 2
Suppose -5*u - 3*q = -10*u + 59, 0 = q + 3. Factor -5*o**3 + 6*o**2 + 28*o**2 - 19*o**2 - u*o.
-5*o*(o - 2)*(o - 1)
Let j(u) be the third derivative of 27*u**7/14 - 3*u**6/2 + u**5/3 + 191*u**2. Let j(t) = 0. What is t?
0, 2/9
Factor 23*r**5 - 5*r**3 - 18*r**5 + 10*r**4 + 1381*r**2 - 1391*r**2.
5*r**2*(r - 1)*(r + 1)*(r + 2)
Let p(x) be the third derivative of x**5/30 - 26*x**4/3 + 2704*x**3/3 + 4*x**2 - 27. Factor p(b).
2*(b - 52)**2
Let t(a) be the second derivative of -a**5/120 - a**4/12 - a**3/4 + a + 43. Factor t(n).
-n*(n + 3)**2/6
Find p, given that -11/2*p + 9/4*p**2 + 0 = 0.
0, 22/9
Let z(s) = s**2 - 2*s + 5. Let a be z(3). Let n be 2/a - 0/(-13). Factor 1/4*l**3 - 1/4*l**5 + 0*l + n*l**4 + 0 - 1/4*l**2.
-l**2*(l - 1)**2*(l + 1)/4
Let r = 66 + -51. Factor -r*y**3 - 25*y**2 + 30*y - 17*y**3 + 37*y**3.
5*y*(y - 3)*(y - 2)
Let p = -313 - -316. Let k(d) be the first derivative of -3/5*d**5 + 3/2*d**2 - 3/4*d**4 + 3*d**p - 6*d + 3. Solve k(y) = 0.
-2, -1, 1
Let y = 5462/7 - 779. Factor -3/7*f**3 - 9/7*f**2 - 3/7 - y*f.
-3*(f + 1)**3/7
Let x be ((-12)/10)/(7/(140/(-12))). Suppose -2/11*h**x - 2/11*h**3 + 0 + 4/11*h**4 + 0*h = 0. What is h?
-1/2, 0, 1
Suppose 17*a - 12*a - 14375 = 0. Factor -a*h**4 - 4 - 774*h**2 - 161*h - 4075*h**3 - 625*h**5 - 1031*h**2 - 159*h - 16.
-5*(h + 2)**2*(5*h + 1)**3
Suppose 0 = -3*z - c + 5*c + 6653, 2*c = -5*z + 11097. Solve -4*d**3 - 2 - 6 + z*d**2 + 4*d - 2211*d**2 = 0.
-1, 1, 2
Let k(q) be the first derivative of 4*q**3/9 - 10*q**2/3 + 159. Factor k(f).
4*f*(f - 5)/3
Let u(p) = -8*p**3 - 4*p**2 + 896*p + 5528. Let m(d) = d**3 + d - 5. Let k(j) = -4*m(j) - u(j). Factor k(h).
4*(h - 17)*(h + 9)**2
Let f(x) be the third derivative of -x**7/14 + 5*x**6/6 - x**5 + 161*x**2 - x. Let f(h) = 0. Calculate h.
0, 2/3, 6
Factor 22*v**3 + 0 + 23*v + 91/2*v**2 - 1/2*v**4.
-v*(v - 46)*(v + 1)**2/2
Let l(y) be the second derivative of -y**6/135 + y**4/18 + 2*y**3/27 - 157*y. Factor l(g).
-2*g*(g - 2)*(g + 1)**2/9
Let v be (-1 + 4/14)/(98/(-343)). Factor -5*j**2 + 5/2*j**4 + 5/2 - v*j + 5*j**3 - 5/2*j**5.
-5*(j - 1)**3*(j + 1)**2/2
Let y(o) be the first derivative of 25*o**4/4 + 170*o**3/3 + 62*o**2 + 24*o + 79. Factor y(b).
(b + 6)*(5*b + 2)**2
Factor 2020 - a**2 + 416*a - a**2 + 2*a**2 - 4*a**2 - 12836.
-4*(a - 52)**2
Suppose -3*x + 383*d - 378*d = -49, -28 = 4*x + 5*d. Factor -243/2*j + 27/2*j**2 + 72