+ 2*l**4 - 34386*l + 21*l**2 + 69*l**3 + 53*l**2 + 34260*l.
2*l*(l - 1)*(l + 3)*(l + 21)
Let j(g) be the first derivative of 34 + 1/8*g**6 + 9/2*g**3 + 21/16*g**4 - 33/2*g**2 - 9/10*g**5 + 18*g. Find w, given that j(w) = 0.
-2, 1, 2, 3
Solve -32/7 + 80/7*s + 2/7*s**5 - 50/7*s**2 + 10/7*s**4 - 10/7*s**3 = 0.
-4, 1
Factor -187489/6 + 433/3*j - 1/6*j**2.
-(j - 433)**2/6
Let a(o) be the first derivative of 5*o**4/4 + 1855*o**3 + 1545675*o**2/2 - 1551245*o + 4782. Suppose a(m) = 0. What is m?
-557, 1
Suppose -374 + 456 = 41*f. Suppose 25 = -f*b - 5*p, -4*b - 3*p = 14 + 1. Let 4/5*d**5 - 2*d**4 + 0*d + b + 6/5*d**2 - 8/5*d**3 = 0. Calculate d.
-1, 0, 1/2, 3
Suppose -2726 = 5*p + j, 2*j = 5*p + 3595 - 857. Let w be (-9)/(-6)*(-56)/p. Solve -w*q**2 - 12/13*q - 18/13 = 0.
-3
Let f(g) = -g**2 - 17*g + 3. Let n be f(-13). Factor n*a**3 - 15*a**4 + 10*a - 30*a**2 + 5*a**2 - 25*a.
-5*a*(a - 3)*(a - 1)*(3*a + 1)
Suppose 122006*d - 121990*d - 80 = 0. Factor 1/2*a**d + 5/2*a**3 + 2*a**4 + 0*a + 0 + a**2.
a**2*(a + 1)**2*(a + 2)/2
Let x = -7531/2 - -3241. Let y = x - -526. Factor -y + 9/2*u - 3*u**3 + 9/2*u**4 - 3*u**2 - 3/2*u**5.
-3*(u - 1)**4*(u + 1)/2
Let y(u) = -31*u + 86. Let s be y(3). Let z(x) = -3*x**3 + 9*x**2 - 30. Let a(w) = 3*w**3 - 10*w**2 + 4*w + 29. Let d(q) = s*z(q) - 6*a(q). Factor d(c).
3*(c - 2)**2*(c + 3)
Let f(b) be the third derivative of b**6/60 - 127*b**5/15 + 42*b**4 - 18*b**2 + 12*b + 6. Determine s so that f(s) = 0.
0, 2, 252
Suppose 0 = i + 3*a - 10, 18 = 5*i - 5*a + 4*a. Solve 7*b - 19*b + 54*b**2 - 14*b**2 + 36*b**3 - 16*b**i = 0.
-1, 0, 1/4, 3
Let x(j) = -83*j - 153. Suppose 0 = 3*u + 9, 36*u - 12 = h + 39*u. Let i be x(h). Solve -120*k - 51/2*k**2 - 3/2*k**3 - i = 0 for k.
-8, -1
Let a(q) be the second derivative of 0 - 1/27*q**4 + 1/9*q**2 + 1/135*q**6 + 1/45*q**5 - 56*q - 1/189*q**7 - 1/27*q**3. Factor a(s).
-2*(s - 1)**3*(s + 1)**2/9
Suppose 3*a + 15 = 2*u, a - 16 = -5*u + 13. Find n such that -15*n**3 - 4*n**2 + u*n**5 + 0*n + 6*n - 2 + 6*n**4 + 6*n**5 + 11*n**3 - 14*n**5 = 0.
-1, 1
Suppose -23/2*s**5 + 0*s - 113/2*s**4 + 0 + 0*s**2 + 5*s**3 = 0. What is s?
-5, 0, 2/23
Let v be ((-779)/(-123) + -19 - (-8)/1) + 6. Determine m, given that -v*m**3 + 8/3*m - 4/3*m**2 + 0 = 0.
-2, 0, 1
Let m be (-20)/30 + 262/6. Suppose 44 = m*s - 41*s. Factor -s*a**4 + 1 + 9*a**2 + 11*a + 3 + 21*a**4 + a**3.
-(a - 4)*(a + 1)**3
Let l(d) = 3*d - 1. Let z be l(1). Let j(q) = 278*q - 529. Let m be j(2). Factor 3*n**3 + 4*n**2 + z*n**5 + 26*n + 4*n**4 - 9*n**3 - m*n - 3*n**5.
-n*(n - 1)**4
Let v(g) be the third derivative of -2/45*g**5 + 8/315*g**7 + 1/84*g**8 - 1/90*g**6 + 0 + 0*g**3 + 2*g + 0*g**4 - 70*g**2. Factor v(m).
4*m**2*(m + 1)**2*(3*m - 2)/3
Let 28*v - 368/3 + 2/3*v**2 = 0. Calculate v.
-46, 4
Let p = 1434208 + -10039392/7. Determine v, given that 24/7*v - p - 2/7*v**2 = 0.
4, 8
Suppose 0 = 881*k - 440*k. Factor -w**2 - 15/2*w**3 + 0*w + k.
-w**2*(15*w + 2)/2
Let l be 1106/280 + 1 + (-21)/12. Let q = l - -13/10. Let -1/2*t**2 - q + 3*t = 0. What is t?
3
Let g = 48 + -34. Factor -g*z**4 + 10*z**4 - 25*z**2 + 21*z**2 + 8*z**3.
-4*z**2*(z - 1)**2
Let v(j) = -4*j**2 + 2*j + 2. Let h = -550 - -544. Let p(m) = 5*m**2 - 2*m - 3. Suppose -14 = 3*w + 1. Let l(g) = h*v(g) + w*p(g). Factor l(n).
-(n - 1)*(n + 3)
Find c such that 28*c**2 + 4*c**3 - 168*c - 215*c**2 + 351*c**2 = 0.
-42, 0, 1
Let s(z) = -z - 5. Let g be s(-4). Let x be 4 - (-3 - -4 - g). Find m, given that x*m - 32*m**2 + 36 + 22*m + 36*m**2 = 0.
-3
Let 1/5*k**3 - 4/5*k + 0 + 3/5*k**2 = 0. Calculate k.
-4, 0, 1
Let k be 35929/817 + (-30)/(-1290). Let d(g) be the first derivative of 0*g - 1/9*g**3 - 1/6*g**2 + k. Factor d(z).
-z*(z + 1)/3
Suppose -625009 - 4696*l + 396351 - 228074 - 244*l - 5*l**2 - 763448 = 0. What is l?
-494
Suppose -2/7*w**3 + 298/7*w**2 - 1734/7*w + 2574/7 = 0. What is w?
3, 143
Let c(f) be the first derivative of -1/6*f**4 + 14 + 2/15*f**5 + 0*f + 0*f**3 - 1/30*f**6 - 9/2*f**2. Let n(z) be the second derivative of c(z). Factor n(d).
-4*d*(d - 1)**2
Suppose -5*t = -3*p - 33, 5*t = 4*t + 4*p + 10. Let k(o) be the first derivative of -t + 0*o + 1/3*o**3 - 1/3*o**2. Let k(b) = 0. Calculate b.
0, 2/3
Solve -8*t - 32/9*t**3 + 2/9*t**4 + 34/3*t**2 + 0 = 0 for t.
0, 1, 3, 12
Let -4*l**3 + 408 - 512*l**2 + 155*l**2 + 364*l + 137*l**2 + 172*l**2 = 0. Calculate l.
-17, -1, 6
Let k(o) = o**2 + 11*o. Let a be k(7). Factor -59*q**2 - a*q**3 + 49*q**4 + 44 + 56 - 61*q + 241*q.
(q - 2)**2*(7*q + 5)**2
Suppose 29 - 12 = 17*c. Suppose -5*d = -2*v - 19, 0 = 2*v + c + 3. Solve 1/3*x + 0 + 0*x**2 - 1/3*x**d = 0 for x.
-1, 0, 1
Let i(z) be the second derivative of 2*z**6/15 + 11*z**5/5 + 8*z**4 - 24*z**3 + 10*z + 58. Find a, given that i(a) = 0.
-6, 0, 1
Let z(v) be the second derivative of -v**7/1120 + 19*v**6/1440 - v**5/16 + v**4/12 - 12*v**3 - 95*v. Let d(k) be the second derivative of z(k). Factor d(c).
-(c - 4)*(c - 2)*(3*c - 1)/4
Let f(q) be the first derivative of q**7/420 - 7*q**5/120 - q**4/8 - 55*q**2/2 + 67. Let x(v) be the second derivative of f(v). Factor x(b).
b*(b - 3)*(b + 1)*(b + 2)/2
Suppose 1/5*s**3 - 71/5*s**2 - 29*s - 73/5 = 0. What is s?
-1, 73
Let h be (-1 + -1)/(20/(-1110)) + 5. Find c such that -h*c**2 - 24*c + 30*c**3 - 18 + 95*c**4 - 71*c**4 + 162 - 8*c**5 = 0.
-3/2, 2
Let c(f) be the third derivative of 3*f**7/80 - 103*f**6/320 - 283*f**5/160 - 173*f**4/64 - 7*f**3/8 - 6*f**2 + f - 16. Determine u so that c(u) = 0.
-1, -2/21, 7
Let k(r) be the first derivative of 2*r**6/15 - 948*r**5/25 + 13683*r**4/5 + 169924*r**3/15 + 17184*r**2 + 11520*r - 770. Determine c, given that k(c) = 0.
-1, 120
Let r be ((7 - 3) + 17)*-2*3. Let y be ((-12)/(-16))/(r/(-24)). What is k in 0 + 1/7*k**5 - 1/7*k**3 - y*k**4 + 1/7*k**2 + 0*k = 0?
-1, 0, 1
Let r(i) be the first derivative of -22*i**3/5 + 263*i**2/5 + 16*i/5 + 622. Factor r(d).
-2*(d - 8)*(33*d + 1)/5
Let s(h) = -1342*h + 14765. Let w be s(11). Factor -5/7*i + 1/7*i**w + 4/7*i**2 + 0.
i*(i - 1)*(i + 5)/7
Let o be (-9)/21 + (-1095)/84*-26. Let x = -325 + o. Factor 27/2 - x*p - 1/2*p**3 + 9/2*p**2.
-(p - 3)**3/2
Let w(o) = 62*o**4 - 336*o**3 - 113*o**2 - 40*o - 5. Let l(y) = 94*y**4 - 504*y**3 - 170*y**2 - 57*y - 7. Let j(r) = -5*l(r) + 7*w(r). Factor j(d).
-d*(d - 5)*(6*d + 1)**2
Let o be (-8)/(-44) + (-13952)/22. Let c = o + 634. Solve -2/5*g + 16/5*g**2 + c - 32/5*g**3 = 0.
0, 1/4
Suppose -2*p - 194 = -600. Suppose 128*a + 208 = -32*a + 1008. Let -20*j**2 - p*j + 86*j - a*j**3 - 10 + 92*j = 0. Calculate j.
-2, -1
Let n(i) be the first derivative of 2*i**5/45 + 208*i**4/9 + 1658*i**3/27 + 46*i**2 + 2416. Factor n(w).
2*w*(w + 1)**2*(w + 414)/9
Let u(v) be the second derivative of -5*v - 7/2*v**2 + 11 + 13/12*v**3 + 1/24*v**4. Let u(r) = 0. Calculate r.
-14, 1
Suppose -2*r + 148 = 35*r. Let o = 6500/29331 + 2/3259. Factor 2/3*h + 0 + 10/9*h**3 - 14/9*h**2 - o*h**r.
-2*h*(h - 3)*(h - 1)**2/9
Let 164/3*v - 146/3*v**2 + 22/3*v**3 + 80/3 = 0. What is v?
-4/11, 2, 5
Let d(x) be the third derivative of 1/105*x**7 - 24*x**2 + 14/3*x**3 + 37/12*x**4 + 11/60*x**6 + 0*x - 2 + 11/10*x**5. Factor d(f).
2*(f + 1)**2*(f + 2)*(f + 7)
Let z(w) = -w**2 - 6*w + 120. Let l be z(-14). Let x be l - -1 - (8 + -1). Suppose 5/4*y + 1/4*y**x - 3/2 = 0. Calculate y.
-6, 1
Let b(o) be the second derivative of -o**5/60 + 2*o**3/9 + 282*o - 5. Factor b(t).
-t*(t - 2)*(t + 2)/3
Suppose 0 = -3*x - 5*z - 10, 0 = 3*x + 2*z + 1 - 6. Let d be 60/(-20) - x/(-1). Factor -10*p**d + 216*p**3 + 5 - 5 - 218*p**3.
-2*p**2*(p + 5)
Let n(h) be the first derivative of h**7/672 + h**6/720 + 53*h**3/3 + 34. Let k(c) be the third derivative of n(c). Factor k(y).
y**2*(5*y + 2)/4
Suppose 19*d + 330 = 85*d. Let a be d + 0 + -10 + 5. Factor 5/2*i**2 - 1/2*i**4 - 3/2*i + a - 1/2*i**3.
-i*(i - 1)**2*(i + 3)/2
Suppose -66 = -2*j - 30. Suppose 22*s = 26 + j. Factor -33/4*g + 0 - 3/4*g**s.
-3*g*(g + 11)/4
Suppose -2*s + 20 = 3*s - 5*t, -2*s - 2*t = 0. Determine x so that 0 + x**3 + 0*x**2 + 6*x**s + 6*x + 5*x + 6 = 0.
-3, -2, -1
Let l(j) = -5*j**4 - 79*j**3 - 191*j**2 - 33*j - 12. Let f(r) = -51*r**4 - 791*r**3 - 1909*r**2 - 333*r - 116. Let y(k) = 6*f(k) - 58*l(k). Factor y(i).
-4*i*(i + 3)*(i + 7)*(4*i + 1)
Let l = 26 + -14. Let c be ((-6)/(-4))/(9/l). Find y, given that