 + 29 + 99*s**3 + 20*s + 96*s**3 = 0.
-2, 2
Let c(m) be the second derivative of -m**7/70 + 7*m**6/75 - 4*m**5/25 + m**4/30 + m**3/10 - 242*m. Suppose c(w) = 0. Calculate w.
-1/3, 0, 1, 3
Let k(x) be the second derivative of -x**7/63 + x**6/9 - x**5/30 - 13*x**4/18 + 2*x**3/9 + 8*x**2/3 + 405*x. What is i in k(i) = 0?
-1, 1, 2, 4
Factor 42*l**4 + 14*l**4 - 40*l**2 - 61*l**4 - 45*l**3.
-5*l**2*(l + 1)*(l + 8)
Let d = 15 - 12. Let x be d*(3 + (-35)/12). Factor x*j - 1/4*j**3 + 1/4 - 1/4*j**2.
-(j - 1)*(j + 1)**2/4
Let s be (1/(28/(-6)))/(7 - 9430/1312). Determine r, given that -16/7 + 12/7*r**2 - s*r + 2/7*r**4 + 10/7*r**3 = 0.
-2, 1
Let d(o) = o**3 + 4*o**2 + 4. Let w be d(-4). Let -f**5 + 15*f**2 - 15*f**2 - 7*f**5 - 4*f**w = 0. What is f?
-1/2, 0
Let d(c) = -2*c**2 - 28*c + 10. Let m be d(-13). Factor -15*u**3 + 61*u**3 + 12*u**2 + m*u + 24*u**4 + 8 + 4*u**5 + 52*u**2 + 10*u**3.
4*(u + 1)**4*(u + 2)
Let u(b) be the first derivative of -11 + 0*b + 2*b**2 - 4/3*b**3. Factor u(v).
-4*v*(v - 1)
Let n(m) be the first derivative of -16/9*m**3 + 0*m - 2 + 10/3*m**4 + 52/15*m**5 + 0*m**2 + 7/9*m**6. Let n(s) = 0. What is s?
-2, 0, 2/7
Let u(k) = -k**2 + 15*k + 39. Let j be u(17). Factor 4*l**3 - 8*l**4 + 11*l**5 - 7*l**j - 8*l**3 + 8*l**2.
4*l**2*(l - 2)*(l - 1)*(l + 1)
Let -5/4*u**3 + 15/4*u**2 + 15 + 20*u = 0. Calculate u.
-2, -1, 6
Factor -4 + 50*l + 47*l - 144*l**2 + 0*l - 49*l.
-4*(6*l - 1)**2
Let d(w) be the second derivative of 169*w**9/11340 + 13*w**8/1260 + 2*w**7/945 - w**4/6 - 3*w + 5. Let b(t) be the third derivative of d(t). Factor b(o).
4*o**2*(13*o + 2)**2/3
Let o(w) = w**3 + 4*w**2 + 4*w + 2. Let m be o(-2). Solve -12*u - 4*u**m + 8*u + 0*u**2 = 0.
-1, 0
Factor -24 - 68*y**2 - 60*y - y**4 - 5*y**3 + 11*y**2 - 4 + 14*y**2 - 7*y**3.
-(y + 1)*(y + 2)**2*(y + 7)
Determine q, given that 1323 + 1/7*q**3 + 9*q**2 + 189*q = 0.
-21
Let u(d) = 4*d. Let i(b) = -b**2 - 8*b - 1. Let c(j) = j**3 - 3*j**2 - 4*j + 2. Let a be c(4). Let m(n) = a*i(n) + 5*u(n). Factor m(x).
-2*(x - 1)**2
Suppose 8*u - 12*u = 232. Let g = u + 176/3. Factor g*s**5 - 4/3*s**4 + 0 - 2/3*s + 0*s**3 + 4/3*s**2.
2*s*(s - 1)**3*(s + 1)/3
Factor 48/5*i**2 + 128/5 - 4/5*i**3 - 144/5*i.
-4*(i - 8)*(i - 2)**2/5
Let v(k) = 29*k**4 - 371*k**3 - 284*k**2 + 100*k - 24. Let j(g) = 19*g**4 - 247*g**3 - 189*g**2 + 67*g - 15. Let b(d) = -8*j(d) + 5*v(d). Factor b(n).
-n*(n - 18)*(n + 1)*(7*n - 2)
Factor -18/5*a**2 - 8/5*a**3 + 0 - 4/5*a.
-2*a*(a + 2)*(4*a + 1)/5
Factor -2/7*s**2 - 3362/7 - 164/7*s.
-2*(s + 41)**2/7
Let m(w) = -45*w**2 + 330*w + 55. Let n(b) = 5*b**2 - 37*b - 6. Let p(y) = 6*m(y) + 55*n(y). Solve p(u) = 0.
0, 11
Let s = -10 - -20. Suppose 2 + 0*r**5 - 4*r**3 + 2*r**3 + r**5 - 4*r**2 - s*r + 11*r + 2*r**4 = 0. What is r?
-2, -1, 1
Let -229*r - 219*r**3 + 15*r**2 + 60*r**2 + 224*r**3 + 64*r - 3 + 88 = 0. Calculate r.
-17, 1
Let a = 1189 + -1184. Let f(g) be the first derivative of -16*g**2 - 25/3*g**6 - 128/3*g**3 + 0*g - 12*g**4 - 5 + 32*g**a. Factor f(w).
-2*w*(w - 2)**2*(5*w + 2)**2
Let f(u) be the third derivative of -u**10/1738800 - u**9/86940 - u**8/14490 - u**5/30 - 24*u**2. Let k(r) be the third derivative of f(r). Factor k(v).
-2*v**2*(v + 4)**2/23
Let z = 250 + -3727/15. Let a = -13/15 + z. Factor 8/3*p + 8/3*p**3 - a*p**4 - 4*p**2 - 2/3.
-2*(p - 1)**4/3
Let n(o) be the second derivative of 0 - 12*o**2 + 25*o + 10*o**3 + 21/20*o**5 + 13/2*o**4. Factor n(h).
3*(h + 2)**2*(7*h - 2)
Let f(g) = g + 1. Let v(d) = -d**3 + 3*d**2 + 7*d - 17. Let p(m) = -2*f(m) - v(m). Let x(l) be the first derivative of p(l). Factor x(b).
3*(b - 3)*(b + 1)
Let k = 689 + -684. Let t(w) be the first derivative of 1/6*w**4 - 5 + 0*w**2 + 1/15*w**k + 0*w + 1/9*w**3. Factor t(z).
z**2*(z + 1)**2/3
Let r(b) be the third derivative of b**5/15 - 2*b**4/3 - 10*b**3/3 + 4*b**2 - 7*b. Factor r(o).
4*(o - 5)*(o + 1)
Let p(i) be the third derivative of -i**7/280 + 7*i**6/80 + 2*i**5/5 + 60*i**2 - i. Factor p(l).
-3*l**2*(l - 16)*(l + 2)/4
Let u(x) be the first derivative of -x**6/30 + x**5/15 + 19*x**2/2 + 30. Let n(f) be the second derivative of u(f). Factor n(r).
-4*r**2*(r - 1)
Suppose 128 = 6*b - 142. Let k = -87/2 + b. Factor 3/4*s + 0*s**3 - k*s**2 - 3/4*s**5 + 3/2*s**4 + 0.
-3*s*(s - 1)**3*(s + 1)/4
Let d(g) be the third derivative of -2*g**2 - 1/12*g**5 - 1/24*g**6 - 1 + 0*g + 0*g**4 + 0*g**3. Determine z so that d(z) = 0.
-1, 0
Let d = 304 - 304. Let o(h) be the second derivative of 0 + d*h**2 + 1/32*h**4 - 6*h + 1/16*h**3. Find z, given that o(z) = 0.
-1, 0
Let v(r) be the third derivative of -r**8/60480 - r**7/5040 - r**6/1080 - r**5/4 + 24*r**2. Let w(m) be the third derivative of v(m). Factor w(o).
-(o + 1)*(o + 2)/3
Let i be ((-4 - -3)*-4 - 15)*-1. Let b be (((-11)/(-2))/i)/(10/4). Find a such that 3/5*a - 3/5*a**2 - 1/5 + b*a**3 = 0.
1
Suppose 3 = -j, -s - 6*j - 3 = -4*j. Find u such that -35/2*u - 11/2*u**2 - 1/2*u**s - 25/2 = 0.
-5, -1
Suppose m - 5*x = -m + 39, -m - 4*x = 0. Solve 15/2*w**2 - 6 + m*w = 0.
-2, 2/5
Let d(q) be the second derivative of q**6/195 - q**5/65 - 2*q**4/39 + 8*q**3/39 + 234*q + 3. Factor d(m).
2*m*(m - 2)**2*(m + 2)/13
What is u in -9 + 36 - 13 - 5*u**3 - 14 - 260*u**2 - 3380*u = 0?
-26, 0
Let g = 19 - 16. Suppose -9*h + g*h = -12. Factor 57/4*q**h + 45*q**3 + 0 + 189/4*q**4 + 3/2*q.
3*q*(3*q + 1)**2*(7*q + 2)/4
Suppose -1/2 - 9*n**5 - 161/4*n**3 - 125/4*n**4 - 23/4*n - 93/4*n**2 = 0. What is n?
-1, -1/4, -2/9
Let u be 27/(-5 - (-39)/6). Factor -15 - u + 9*s + 33 + 3*s**2.
3*s*(s + 3)
Let w(p) be the first derivative of -4*p**4/5 - 4*p**3/15 + 32*p**2/5 + 16*p/5 + 19. Factor w(t).
-4*(t - 2)*(t + 2)*(4*t + 1)/5
Let l = -870263/7 + 124571. Factor -204/7*x + l + 6/7*x**2.
6*(x - 17)**2/7
Let s(a) be the first derivative of a**5/30 - 4*a**3/9 - 9*a + 28. Let x(g) be the first derivative of s(g). Determine w, given that x(w) = 0.
-2, 0, 2
Determine u, given that -2/11*u**3 + 0 - 4/11*u + 6/11*u**2 = 0.
0, 1, 2
Solve -6/11*b**2 + 8/11 - 2/11*b**4 - 10/11*b + 10/11*b**3 = 0 for b.
-1, 1, 4
Let l be 6/1 - (-3 + 0). Let y = l - -3. Let -4*f + 10*f + 3*f**4 + 0*f**4 + 15*f**2 + y*f**3 = 0. Calculate f.
-2, -1, 0
Let g(o) = 3*o**2 - 13*o - 5. Let a be g(5). Factor 42*l**3 - 24*l**3 + a*l**5 - 23*l**3.
5*l**3*(l - 1)*(l + 1)
Find z, given that 1/4 + 0*z - 1/4*z**2 = 0.
-1, 1
Let z be ((-378)/(-504))/(2/8). Let a be (-2)/7 - 20/(-21). Factor a*x**2 - 2/3*x + 2/3*x**z - 2/3.
2*(x - 1)*(x + 1)**2/3
Determine l, given that 6*l**2 - 23/4*l - 7/4*l**3 + 3/2 = 0.
3/7, 1, 2
Let o(l) be the first derivative of 2*l**5/5 - 100*l**4 + 8844*l**3 - 287296*l**2 - 601526*l - 269. Factor o(s).
2*(s - 67)**3*(s + 1)
Let l be (96/208 - 132/286) + 4/10. What is z in 0*z - l*z**3 + 0 - 12/5*z**2 = 0?
-6, 0
Factor -140*p**2 + 131*p**2 + p - p + 6*p + 3*p**3.
3*p*(p - 2)*(p - 1)
Let f = -3910 + 3914. Solve -5/3*q**3 - 25/6*q**2 + 0*q + 0 - 1/6*q**f = 0 for q.
-5, 0
Let j = 10 - 9. Suppose -19 = -5*s - 4*a - j, 0 = -2*s - a + 6. Factor -7/4*k - 1/4 - 7/2*k**s - 2*k**3.
-(k + 1)*(2*k + 1)*(4*k + 1)/4
Determine c, given that 24/5 + 3/5*c**3 + 21/5*c**2 + 42/5*c = 0.
-4, -2, -1
Determine s, given that -9*s**2 + 28*s**2 - 16*s**2 - 14*s + 2*s = 0.
0, 4
Determine t so that 14/9*t - 2/9*t**3 + 0 + 4/3*t**2 = 0.
-1, 0, 7
Let h(y) be the third derivative of -y**9/272160 + y**8/30240 - y**7/11340 + 7*y**5/20 - 7*y**2 + 1. Let i(t) be the third derivative of h(t). Factor i(x).
-2*x*(x - 2)*(x - 1)/9
Let j(c) = 31*c**2 - 237*c - 97. Let z(b) = 91*b**2 - 712*b - 292. Let l(h) = 8*j(h) - 3*z(h). Factor l(d).
-5*(d - 10)*(5*d + 2)
Find w, given that 48 - 24*w - 22*w**2 + 40*w**2 - 15*w**2 = 0.
4
Let h(z) = -z**3 + 4*z**2 - 4*z + 6. Let i be h(3). Suppose 8*l**2 + 8 + 4*l**i - 6*l**2 - 4*l**2 - 16*l = 0. Calculate l.
-2, 1/2, 2
Let x be 2 + (-7097)/3948 + 2/24. Factor 0 + 2/7*h**4 + 0*h - 4/7*h**2 - x*h**3.
2*h**2*(h - 2)*(h + 1)/7
Let s(w) = 2*w + 44. Let p be s(-22). Suppose p = 9*n - 0*n. Factor 0*c**3 + 6/5*c**2 + n*c - 3/5*c**4 - 3/5.
-3*(c - 1)**2*(c + 1)**2/5
Let q(d) = -14*d**2 - 3*d + 2. Let r(z) = 29*z**2 + 5*z - 3. Let t(m) = 5*q(m) + 3*r(m). Let u be t(1). Solve -12*k + 3*k**2 - u - 3*k**2 - 2*k**2 = 0 for k.
-3
Let b = 18878/5 + -3762. Let a = b - 456/35. Determine p, given that -256/7 + 192