ivative of i**7/3360 - i**6/480 + i**4/24 - 5*i**3/3 + 3*i. Let o(d) be the second derivative of m(d). Solve o(v) = 0.
-1, 2
Let u(p) = 2*p**2 + p + 4. Let x(a) = 67*a - 60. Let n(l) = -u(l) + x(l). Let n(b) = 0. Calculate b.
1, 32
Let q be (-14)/(72/((-45)/5)). Factor -3/4 + 9/2*m**3 - q*m**4 + 1/4*m**5 - 11/2*m**2 + 13/4*m.
(m - 3)*(m - 1)**4/4
Let v = 5818/3 + -1939. Determine l, given that 0 + v*l**3 + 0*l + 4/3*l**2 = 0.
-4, 0
Suppose -4*c = -77 + 29. Let m be (-14)/84 - (-50)/c. Determine j so that -j**4 - 1 + 2*j**2 - m*j**4 + 0 + 4*j**4 = 0.
-1, 1
Let t(j) = -15*j**4 + 159*j**3 - 132*j**2 + 29*j + 7. Let q(n) = 7*n**4 - 79*n**3 + 67*n**2 - 15*n - 3. Let b(l) = 7*q(l) + 3*t(l). Factor b(z).
z*(z - 18)*(2*z - 1)**2
Suppose 1536 = 4*i - k, -4*i + 1552 = 3*k - 0*k. Let r be (i/(-28))/(-11)*6/5. Solve -3/2*x**2 + r*x**4 + 0 - 3/2*x**3 + 3/2*x = 0 for x.
-1, 0, 1
Let x(r) = r**2 - 5*r - 7. Let m be x(3). Let i = m + 15. Factor i*g + 3 + g**2 + 2 - 4.
(g + 1)**2
Let l(j) be the first derivative of 7*j**4/48 - 3*j**3/8 + j**2/4 - 7*j - 7. Let w(c) be the first derivative of l(c). Factor w(v).
(v - 1)*(7*v - 2)/4
Let g(j) be the second derivative of 13*j - 5/12*j**4 + 0 + 10/3*j**3 - 15/2*j**2. Find p, given that g(p) = 0.
1, 3
Let x(h) be the first derivative of -7*h**6/60 + 23*h**5/40 - h**4/4 + 4*h - 6. Let r(b) be the first derivative of x(b). Factor r(q).
-q**2*(q - 3)*(7*q - 2)/2
Let c(t) be the second derivative of 25*t**6/6 + 5*t**5/4 - 35*t**4/4 - 15*t**3/2 - 67*t. Factor c(g).
5*g*(g - 1)*(5*g + 3)**2
Let w(z) be the third derivative of z**8/896 + 3*z**7/280 + 3*z**6/320 - z**5/16 - 4*z**2 - 33. Solve w(n) = 0.
-5, -2, 0, 1
Let -16*y - 256/3*y**2 + 12*y**4 + 0 - 172/3*y**3 = 0. Calculate y.
-1, -2/9, 0, 6
Let d(n) be the third derivative of 0*n**3 + 0*n + 1/420*n**6 - 13/84*n**4 + 0 + 12*n**2 + 2/35*n**5. Factor d(r).
2*r*(r - 1)*(r + 13)/7
Let c = -4 + 7. Find n such that 0*n**3 - 28*n**2 + 4*n**c - 20 + 60*n + 0*n**2 - 16*n = 0.
1, 5
Let o(c) = c**3 - c**2 - c + 36. Let u be o(0). Solve 11*j + 39*j - 14*j - u*j**3 - 8*j**2 + 8 = 0 for j.
-1, -2/9, 1
Let d(u) be the third derivative of 0 + 0*u**7 + 0*u**3 + 0*u**4 - 28*u**2 - 1/10*u**6 + 2/15*u**5 + 1/84*u**8 + 0*u. Factor d(p).
4*p**2*(p - 1)**2*(p + 2)
Let f(z) be the third derivative of z**7/280 + z**6/80 + 84*z**2. Factor f(l).
3*l**3*(l + 2)/4
Suppose 12*b = -b. Suppose -q + 4 - 2 = b. Factor -1/4*v**5 + 3/2*v**4 - v + 3*v**q + 0 - 13/4*v**3.
-v*(v - 2)**2*(v - 1)**2/4
Let m(c) be the third derivative of -c**7/42 - c**6/3 - 7*c**5/4 - 55*c**4/12 - 20*c**3/3 - 78*c**2. Factor m(z).
-5*(z + 1)**2*(z + 2)*(z + 4)
Let p = -67 - -79. Suppose -2 - 59*h - 4*h**2 + 4*h**3 + 18 + 55*h - p*h**2 = 0. What is h?
-1, 1, 4
Let b(n) = 13*n**3 + 248*n**2 + 464*n + 5. Let c(u) = -6*u**3 - 124*u**2 - 232*u - 2. Let f(o) = 2*b(o) + 5*c(o). Factor f(m).
-4*m*(m + 2)*(m + 29)
Determine z, given that -6*z + 2/9*z**2 - 116/9 = 0.
-2, 29
Let -6/7*u**2 + 3/7*u**3 + 15/7*u**5 + 0*u + 24/7*u**4 + 0 = 0. Calculate u.
-1, 0, 2/5
Let n(f) = -15*f**2 + 32*f + 9. Let r(x) = -x**2 - 1. Let z be (2/(-3))/((-2)/3). Let i(h) = z*n(h) - 3*r(h). Let i(c) = 0. What is c?
-1/3, 3
Let c(f) = -13*f**4 - 42*f**3 + 27*f**2 + 30*f - 2. Let a(v) = 12*v**4 + 43*v**3 - 28*v**2 - 30*v + 3. Let p(n) = 2*a(n) + 3*c(n). Factor p(r).
-5*r*(r - 1)*(r + 3)*(3*r + 2)
Suppose -n - 88 = -4*a, -2*a = 5*n - 3*a + 535. Let l be (-168)/n - (-2)/(-9). Determine v, given that -4/3*v**2 + 0 - l*v + v**3 = 0.
-2/3, 0, 2
Let b = 1661/5 - 332. Suppose 0*o - o + 2 = 0. Factor -2/5*c + b*c**o + 0 + 1/5*c**3.
c*(c - 1)*(c + 2)/5
Let r(s) = 34*s**2 + 931*s - 835. Let f(k) = 16*k**2 + 462*k - 418. Let t(j) = -13*f(j) + 6*r(j). Factor t(z).
-4*(z - 1)*(z + 106)
Let l be (-12)/(-5) + (-84)/210. Let d(o) be the first derivative of 4 + 2/7*o + 2/21*o**3 - 2/7*o**l. Let d(z) = 0. Calculate z.
1
Let v be (1 + -4)/(-85*(-48)/(-160)). Suppose v*u**2 - 6/17 + 4/17*u = 0. Calculate u.
-3, 1
Let q = -221 + 137. Let j be (q/(-45) + -2)/((-2)/70). Determine d, given that 4/3 + 10*d + 100/3*d**3 + j*d**5 + 80/3*d**2 + 20*d**4 = 0.
-1, -2/7
Let o(m) be the second derivative of m**6/15 + 36*m**5/5 + 683*m**4/3 + 840*m**3 + 1225*m**2 - 118*m. Factor o(a).
2*(a + 1)**2*(a + 35)**2
Suppose 5*c + 8 = 3*j, 13*j - 10*j + 4*c - 53 = 0. Suppose 5*m = j + 4. Factor 0 - 1/2*d**m - d**2 - 1/2*d.
-d*(d + 1)**2/2
Let d(b) be the third derivative of 0 - 1/12*b**4 + 15*b**2 - 1/180*b**5 - 1/2*b**3 + 0*b. What is t in d(t) = 0?
-3
Let -80*x + 25*x**2 - 20*x**5 + 97*x**4 + 97*x**3 - 38*x**3 - 20 + 41*x**3 - 102*x**4 = 0. Calculate x.
-2, -1, -1/4, 1, 2
Let f(c) = -10*c**4 + 17*c**3 - 35*c**2 + 19*c + 3. Let t(h) = 8*h**4 - 18*h**3 + 34*h**2 - 18*h - 2. Let y(d) = -2*f(d) - 3*t(d). Let y(k) = 0. Calculate k.
0, 1, 2
Solve -49*p**2 - 252*p**3 + 1 + 185*p**2 - 11*p**2 - 35*p**2 - 5 + 166*p = 0 for p.
-2/3, 1/42, 1
Suppose 0*d = c + d - 2, 0 = 2*c + 4*d - 4. Let r(v) be the second derivative of 2*v + 1/6*v**4 - 1/6*v**3 + 0 - 1/2*v**c. Factor r(h).
(h - 1)*(2*h + 1)
Let k(y) be the second derivative of -2*y**7/21 - 4*y**6/5 + 2*y**5 + 52*y**4/3 - 70*y**3 + 100*y**2 - 7*y + 40. Determine l, given that k(l) = 0.
-5, 1, 2
Let u be (1 - -2)*(-4)/(-30). Suppose -32 = -2*s - 4*x, 15*x - 18*x = -s - 14. Factor 6/5*y**s + u*y**3 - 4/5*y**2 + 0 + 0*y.
2*y**2*(y + 1)*(3*y - 2)/5
Factor -4/7*y + 0 - 26/7*y**2.
-2*y*(13*y + 2)/7
Suppose 0 = 5*l - 5, -6*u + 5*u - 5*l + 3 = 0. Let m be (-6)/(36/(-10))*(-2)/u. Suppose 0 - m*c**4 + 2/3*c + 3*c**3 + 1/3*c**5 - 7/3*c**2 = 0. Calculate c.
0, 1, 2
Let q = 19/6 - 113/48. Let h(d) be the second derivative of -9/40*d**5 + 0 + d + 3/2*d**2 - 3/2*d**3 + 1/40*d**6 + q*d**4. Factor h(c).
3*(c - 2)**2*(c - 1)**2/4
Suppose -4*o = -31 + 3. Suppose -o = -3*m + 5. Factor -2/7*z**3 + 0 + 2/7*z**2 + 2/7*z**5 - 2/7*z**m + 0*z.
2*z**2*(z - 1)**2*(z + 1)/7
Let f(a) be the second derivative of -a**9/6048 - a**8/896 + a**7/1008 + a**6/96 - 5*a**4/2 + 35*a. Let n(i) be the third derivative of f(i). Factor n(s).
-5*s*(s - 1)*(s + 1)*(s + 3)/2
Suppose 0 = 3*q - 118 - 2. Let r = q + -40. Factor r - 1/3*l**3 + 1/3*l**2 + 1/3*l - 1/3*l**4.
-l*(l - 1)*(l + 1)**2/3
Let b be (-9)/(5 - 2) + 9. Suppose -2*s + 6 = -4*k, -3*s = -s - k - b. Factor 0*x + 3*x**3 - x**2 - 3 - s*x + 0*x + 4*x**2.
3*(x - 1)*(x + 1)**2
Factor 124*u + 93 - 4*u**3 + 68*u**2 - 33 + 8*u**3.
4*(u + 1)**2*(u + 15)
Let j(q) be the second derivative of -11/42*q**4 - 5/21*q**3 - 37*q - 1/105*q**6 + 0*q**2 + 0 - 1/10*q**5. Solve j(u) = 0 for u.
-5, -1, 0
Let y(x) be the first derivative of -2*x**5/35 - x**4/2 - 20*x**3/21 - 161. Suppose y(n) = 0. Calculate n.
-5, -2, 0
Suppose 5*a + 3*b - 345 = 2*b, -a + 88 = 4*b. Let l be (-16)/(-28) - a/(-28). Solve -4*u - l + 14*u - 5 + 2*u - 4*u**3 = 0.
-2, 1
Suppose 2*k - 6 = -k. Suppose 0*b - k*b = -4. Factor -19*j**2 - 4 - 14*j**2 + 53*j**b + 16*j.
4*(j + 1)*(5*j - 1)
Let i = -201 + 206. Let u(v) be the third derivative of 1/30*v**i + 1/12*v**4 + 6*v**2 + 0*v + 0*v**3 + 0. Factor u(o).
2*o*(o + 1)
Let l(w) be the second derivative of w**6/600 + w**5/300 - w**4/60 - 9*w**2/2 - 5*w. Let k(h) be the first derivative of l(h). Solve k(m) = 0 for m.
-2, 0, 1
Let p = -1/474 + 1429/3318. Let p*s**3 + 0 + 3/7*s**2 - 3/7*s - 3/7*s**4 = 0. What is s?
-1, 0, 1
Factor 399*r**3 - r + 4*r**2 + 0*r**2 - 404*r**3 + 2*r**4.
r*(r - 1)**2*(2*r - 1)
Suppose b = -2 - 3. Let n(c) = c**3 + 27*c**2 + 24*c + 3. Let f(k) = 2*k**3 + 26*k**2 + 24*k + 4. Let j(i) = b*f(i) + 4*n(i). Factor j(l).
-2*(l + 1)*(l + 2)*(3*l + 2)
Suppose 4*i + n = 6*n + 205, -n - 95 = -2*i. Determine p so that -i*p**2 + 17 - 65*p - 7*p + 31 - 6*p**3 = 0.
-4, 1/2
Let m be (10 + -1)*(-6)/9. Let u be (-4)/m - (-8)/6. Solve -4*f**2 - 12 + 8*f + f**u + 7*f**2 = 0.
-3, 1
Suppose -2*c - c = -6. Suppose r = -5*b - 0*r + 10, -b + r = -c. Determine t so that t**4 + 2*t**2 - 5*t**2 - 6*t**3 + b - 2*t + 7*t**3 + t = 0.
-2, -1, 1
Let j = 287 - 278. Suppose -j*q + 10*q + 4*y = 14, -4*q + 4*y - 4 = 0. Factor 2/5*i - 3/5 + 1/5*i**q.
(i - 1)*(i + 3)/5
Suppose -20/23*b**2 + 8/23*b**4 + 0*b + 0 - 78/23*b**3 = 0. Calculate b.
-1/4, 0, 10
Let i = -192 - -195. Suppose 24 = 4*k - 0. Determine g, given that -k + i + 0*g**2 + 6*g - 1 - 2*g**2 = 0.
1, 2
