 13 = -3*q + 5*a - 4, a = -4*q - 15. Let p be q*4/(-27 - 1). Factor 0 - 2/7*d**3 - p*d**2 + 0*d.
-2*d**2*(d + 2)/7
Let d(k) be the first derivative of 5*k**3/9 - 75*k**2/2 + 106. Factor d(x).
5*x*(x - 45)/3
Let x = -91 - -96. Factor 0*d**2 + x*d**2 + 19*d + 19*d + 2*d.
5*d*(d + 8)
Let u(v) be the second derivative of v**7/14 + 7*v**6/10 + 9*v**5/4 + 9*v**4/4 - 46*v. Let u(r) = 0. Calculate r.
-3, -1, 0
Suppose 0 = -4*i - 2*a + 2, -i + a = -6*i + 7. Factor -7*p**2 - 4*p**3 - 21*p**i + 3 + 32*p - 3.
-4*p*(p - 1)*(p + 8)
Let t = -4156 - -29102/7. Determine u so that -8/7 - 2/7*u**2 - t*u = 0.
-4, -1
Determine s, given that -4*s + 9 - 3 + 34*s**2 - 14*s**2 - 30*s**2 = 0.
-1, 3/5
Let o be (-62)/(-14) + (-5 - -1). Factor 9/7*q - 6/7*q**3 + 9/7*q**4 - 3/7*q**5 - o - 6/7*q**2.
-3*(q - 1)**4*(q + 1)/7
Let b be 3/7 - (-30)/(-72). Let a(n) be the third derivative of 0*n + 0 + 1/420*n**6 - 2/21*n**3 - 3*n**2 - b*n**4 + 1/105*n**5. Factor a(k).
2*(k - 1)*(k + 1)*(k + 2)/7
Let p = -1 + 5. Factor p*f + 4*f**3 - 4*f**5 + 39*f**2 + 8*f**4 - 47*f**2 - 4*f**3.
-4*f*(f - 1)**3*(f + 1)
Let u(p) be the third derivative of p**7/1260 - p**6/120 - p**5/15 + 7*p**4/6 - 33*p**2. Let m(l) be the second derivative of u(l). Find i such that m(i) = 0.
-1, 4
Let -132*v**4 + 137*v**4 + 489*v**2 - 435*v**3 - 59*v**2 + 4 - 4 = 0. Calculate v.
0, 1, 86
Factor -2/5*s**3 - 18/5*s + 648/5 - 28/5*s**2.
-2*(s - 4)*(s + 9)**2/5
Let n = -60 - -68. Let c be 12/n + (-3)/(-2). Determine t, given that -c*t + 1/2*t**2 + 9/2 = 0.
3
Let b = -337 + 226. Let l be (6 - b/(-18))*(-159)/2. Let f - 17/2*f**2 - 5/4*f**5 + 2 - 7*f**4 - l*f**3 = 0. Calculate f.
-2, -1, 2/5
Let h(o) be the third derivative of o**6/420 + o**5/210 - o**4/42 + 38*o**2. Factor h(x).
2*x*(x - 1)*(x + 2)/7
What is a in 0 - 2/3*a**3 - 32/3*a - 34/3*a**2 = 0?
-16, -1, 0
Let x(n) be the first derivative of n**3/3 - 14*n - 1. Let s be x(4). Suppose 3/2*p**5 + s - 4*p - 13/2*p**4 - 3/2*p**2 + 17/2*p**3 = 0. What is p?
-2/3, 1, 2
Suppose -5*m + 15 = -10*m. Let a(y) = -y**3 - 5*y**2 - 8*y - 4. Let n be a(m). Solve -77/2*p**4 + n - 16*p + 73/2*p**2 + 49/2*p**5 - 17/2*p**3 = 0.
-1, 2/7, 1
Let h(p) = -p**2 - 7*p - 2. Let s be h(-6). Suppose 0 = s*x - 30 + 14. Solve -12/5*b - 3/5*b**x + 24/5 - 18/5*b**2 + 3*b**3 = 0 for b.
-1, 2
Let w(m) be the third derivative of 0 + 10*m**2 + 1/6*m**6 + 0*m**4 + 0*m**3 + 1/12*m**5 + 0*m + 1/14*m**7. Factor w(a).
5*a**2*(a + 1)*(3*a + 1)
Let z(u) = -5*u**4 + 21*u**3 - 6*u**2 + 2*u - 2. Let s(i) = 35*i**4 - 150*i**3 + 40*i**2 - 15*i + 15. Let j(l) = 2*s(l) + 15*z(l). Factor j(h).
-5*h**2*(h - 2)*(h - 1)
Let o = 2081/3 - 683. Factor 2/3*m**3 + 16/3*m - 14/3*m**2 + o.
2*(m - 4)**2*(m + 1)/3
Let x be 102/10 - (-1)/(-5). Suppose -55 = -x*z + 5*z. Determine t so that -3*t + 11 - z + 9*t**2 = 0.
0, 1/3
Determine m so that -39/8 + 51/8*m - 3/2*m**2 = 0.
1, 13/4
Let d(p) = -6*p**2 - 141*p - 156. Let q(x) = -7*x**2 - 142*x - 163. Let h(n) = 4*d(n) - 3*q(n). Factor h(u).
-3*(u + 1)*(u + 45)
Factor -6*v**3 + 0*v**2 + 0 + 1/5*v**4 + 0*v.
v**3*(v - 30)/5
Let x(u) be the first derivative of 2/3*u - 3/2*u**2 + 4/9*u**3 - 9. Suppose x(k) = 0. What is k?
1/4, 2
Factor 0 + 35/3*f**2 + 2/3*f + 17/3*f**3.
f*(f + 2)*(17*f + 1)/3
Let i(t) be the third derivative of 5/24*t**4 + 0*t**3 + 0 + 1/12*t**5 + 0*t - 4*t**2. Factor i(r).
5*r*(r + 1)
Factor 0 - 9/2*k**3 - 11/2*k**2 - 2*k - 1/2*k**4 + 1/2*k**5.
k*(k - 4)*(k + 1)**3/2
Let y(o) = -5*o**4 + 212*o**3 - 2901*o**2 + 13138*o + 2741. Let m(p) = -5*p**4 + 211*p**3 - 2900*p**2 + 13136*p + 2742. Let v(z) = 3*m(z) - 2*y(z). Factor v(q).
-(q - 14)**3*(5*q + 1)
Let g(o) = o**3 + 15*o**2 + 63*o + 119. Let p(r) = 2*r**3 + 30*r**2 + 124*r + 237. Let y(v) = 13*g(v) - 6*p(v). Factor y(k).
(k + 5)**3
Let r(t) be the second derivative of -t**6/120 + t**5/40 + t**4/16 - t**3/3 + t**2/2 + t - 41. Suppose r(y) = 0. Calculate y.
-2, 1, 2
Let b be 1 + -4*(-42)/(-144) - (-9)/30. Let -22/15*p**2 - 2/15*p**3 - 8/15 + b*p**5 + 2/5*p**4 - 8/5*p = 0. What is p?
-2, -1, 2
Let d(v) be the first derivative of -v**6/30 - v**5/15 - v**2 - 3. Let o(p) be the second derivative of d(p). Factor o(k).
-4*k**2*(k + 1)
Let d(t) be the third derivative of 1/10*t**6 - 7/45*t**5 + 0*t**3 + 1/252*t**8 + 0 + 0*t - 2/63*t**7 + 1/9*t**4 - 16*t**2. Factor d(s).
4*s*(s - 2)*(s - 1)**3/3
Factor 90*b + 205*b + 3311*b**2 + 150 - 3171*b**2 - 5*b**3.
-5*(b - 30)*(b + 1)**2
Let a(o) = -80*o**3 + 135*o**2 - 125*o. Let d(x) = 9*x**3 - 15*x**2 + 14*x. Let p(i) = 4*a(i) + 35*d(i). Suppose p(r) = 0. Calculate r.
0, 1, 2
Let u(n) be the first derivative of -n**5/3 - 25*n**4/6 - 140*n**3/9 - 20*n**2 + 6. Find j such that u(j) = 0.
-6, -2, 0
Let v(m) = m**2 + m. Let l(i) = -5*i**2 - 4*i + 4. Let t(d) = 5*l(d) + 20*v(d). Factor t(j).
-5*(j - 2)*(j + 2)
Solve 11/3 - 1/6*l**3 - 3/2*l - 2*l**2 = 0 for l.
-11, -2, 1
Let q(x) be the second derivative of x**4/4 - x**3 - 9*x**2/2 + 3*x - 16. Factor q(i).
3*(i - 3)*(i + 1)
Factor 4/5*t**3 + 8/5*t + 0 + 12/5*t**2.
4*t*(t + 1)*(t + 2)/5
Let c(l) be the third derivative of l**8/420 - l**7/210 - l**3/6 + 6*l**2. Let n(q) be the first derivative of c(q). Determine x, given that n(x) = 0.
0, 1
Let l(r) = 2*r**3 + 57*r**2 - 261*r + 4. Let i be l(4). What is p in -2/13*p**2 + 2/13*p**5 + i + 4/13*p + 2/13*p**4 - 6/13*p**3 = 0?
-2, -1, 0, 1
Factor 35 + 116*j - 3855*j**3 + 25 + 52*j**2 + 3851*j**3.
-4*(j - 15)*(j + 1)**2
Suppose 5*h - 35 = -5*v, -3*h - 2*h - 4*v = -34. Suppose -h*z = -4*z - 8. Factor -45*f**3 + 21*f**2 - 4*f**4 - 3*f + 7*f**4 + 9*f**4 + 15*f**z.
3*f*(f - 1)*(3*f - 1)**2
Let a(l) be the second derivative of -3*l**5/140 - 3*l**4/14 + 48*l**2/7 + 90*l. Solve a(y) = 0.
-4, 2
Let v be (-1)/5*(-495)/242. Let j = -19/154 + v. Determine c, given that -4/7 - j*c + 2/7*c**2 = 0.
-1, 2
Suppose -c**4 + 5*c**4 + 4*c**4 - 259*c**3 + 4*c**5 + 263*c**3 = 0. What is c?
-1, 0
Suppose -5*c + 4*c - 2*h = 7, 4*h = 2*c - 26. What is q in 0*q**2 + 0*q - 1/5*q**c + 0 - 1/5*q**5 + 2/5*q**4 = 0?
0, 1
Suppose 0 = -3*a + 4 + 5. Suppose -8*j + 18 = 2. Factor -r**2 - 2*r**2 + r**j - 2*r**a.
-2*r**2*(r + 1)
Let p(h) = 12*h**2 - 16*h + 20. Let f(l) = l**2 + l. Let y(n) = 8*f(n) - p(n). Determine w so that y(w) = 0.
1, 5
Let q(v) be the first derivative of -2*v**5/15 - 5*v**4/12 - v**3/3 - 89. Factor q(m).
-m**2*(m + 1)*(2*m + 3)/3
Let l(i) = -i. Let k = -1 - 0. Let d be l(k). Let j(n) = 3*n**2 + 8*n + 3. Let m(b) = b. Let a(t) = d*j(t) - 2*m(t). Find q such that a(q) = 0.
-1
Suppose 31*a - 5*a = -83*a + 327. Factor -4*n**2 - 4/7 - 1/7*n**5 - 8/7*n**4 - 17/7*n - 22/7*n**a.
-(n + 1)**4*(n + 4)/7
Suppose -k - 2*v - 2 = 0, 0 = 2*v - 4*v - 6. Factor 6*f**2 - k*f**2 + 0*f**2 + f**2 + 5*f.
f*(3*f + 5)
Let j(v) = v**2 - 33*v + 32. Let q be j(1). Let g(u) be the second derivative of -1/60*u**4 + 0 + 0*u**3 - 2*u + 1/100*u**5 + q*u**2. Factor g(s).
s**2*(s - 1)/5
Let f be 12/(-5)*(-9 + -1). Let 7*q + 17*q + 5*q**2 - f*q = 0. Calculate q.
0
Let x(n) = 40 - 20*n**2 - 17*n - 22*n - 21. Let t(j) = -4*j**2 - 8*j + 4. Let h(m) = -11*t(m) + 2*x(m). Let h(k) = 0. What is k?
-3, 1/2
Let q(z) be the first derivative of z**5/150 + z**4/30 - z**3/45 - z**2/5 - 20*z + 5. Let x(d) be the first derivative of q(d). Suppose x(f) = 0. What is f?
-3, -1, 1
Let q(s) be the first derivative of 1/240*s**5 + 1/96*s**4 + 0*s + 0*s**3 - 7 - 2*s**2. Let b(f) be the second derivative of q(f). Factor b(n).
n*(n + 1)/4
Suppose -26/19*d + 2/19*d**2 + 24/19 = 0. Calculate d.
1, 12
Let 732*n + 319*n**3 + 5000 - 324*n**3 - 2232*n + 150*n**2 = 0. What is n?
10
Let z(s) = 6*s**2 + 230*s + 79. Let h be z(-38). Suppose -2*f = -2*j + 4, 3*j = -f - 2*j + 10. Find k, given that 6/5 + 3/5*k**h + f*k**2 - 9/5*k = 0.
-2, 1
Suppose -16 = 2*m + 4*i, -2*i - 3*i - 25 = 0. Factor 6*q**m + 1 + 2 + 1 + 2 - 15*q.
3*(q - 2)*(2*q - 1)
Suppose -104*y + 107*y = 18. Let b(r) be the first derivative of 2*r**4 + 53/3*r**3 + y + 4*r - 21/5*r**5 + 14*r**2. Find n such that b(n) = 0.
-1, -1/3, -2/7, 2
Let s(v) be the first derivative of 0*v - 1/24*v**4 + 0*v**5 + 29 + 0*v**3 + 0*v**2 + 1/36*v**6. Factor s(c).
c**3*(c - 1)*(c + 1)/6
Let g(x) = 3*x**2 + 2*x - 3. Let h be g(1). Factor -12*c**3 + 3305 - 2*c**4 - 3305 - 18*c**h.
-2*c**2*(c + 3)**2
Let l(c) be the third derivative of c**7