7/940. Determine n so that -f - 6/5*n**2 - 2*n + 2/5*n**3 + 2/5*n**4 = 0.
-1, 2
Let i(l) be the first derivative of 3*l**4/4 + 23*l**3 + 333. Factor i(f).
3*f**2*(f + 23)
Let s(w) be the third derivative of w**6/420 - 8*w**5/105 + 11*w**4/12 - 14*w**3/3 + 142*w**2. Suppose s(o) = 0. What is o?
2, 7
Let s(n) = n**2 - n - 1. Let k(i) = -140*i**3 - 19*i**2 + 19*i + 3. Let j be 145/45 - (-2)/(-9). Let d(p) = j*s(p) + k(p). Factor d(t).
-4*t*(5*t + 2)*(7*t - 2)
Let f = -29/55 - -8/11. Let q(k) be the second derivative of -f*k**4 - 8/5*k**2 - 4/5*k**3 - 9*k + 0 - 1/50*k**5. Determine m, given that q(m) = 0.
-2
Let j(a) be the second derivative of 0*a**2 - 26*a - 4/39*a**4 - 3/130*a**5 + 0 - 4/39*a**3. What is c in j(c) = 0?
-2, -2/3, 0
Factor -6*m + 14/5*m**2 - 2/5*m**3 + 18/5.
-2*(m - 3)**2*(m - 1)/5
Let y(b) be the second derivative of b**8/2240 - b**7/480 - b**6/480 + 23*b**4/12 + 17*b. Let a(k) be the third derivative of y(k). Factor a(i).
3*i*(i - 2)*(4*i + 1)/4
Factor -20/9*k**2 - 16/9 + 2/9*k**3 + 34/9*k.
2*(k - 8)*(k - 1)**2/9
Let w(o) be the first derivative of 35*o**3/24 + o**2/8 - o/8 + 33. Factor w(a).
(5*a + 1)*(7*a - 1)/8
Let i = 390/293 - -2/879. Factor i - 2/3*g**2 + 2/3*g.
-2*(g - 2)*(g + 1)/3
Let v(a) = a**2 - 3*a - 8. Let y be v(4). Let m(o) = -o**2 - 4*o. Let z be m(y). Find i, given that -13 - i**4 + 3 + z - 6 + 8*i**2 = 0.
-2, 2
Suppose 3*w + k = -2*w + 121, w + 2*k = 17. Suppose 12*i - 17*i = -w. Determine z so that -3/5*z**4 + 4/5*z**2 - 1/5*z**i + 0*z + 0 + 0*z**3 = 0.
-2, 0, 1
Factor 112/3 + 82/3*p - 28/3*p**2 + 2/3*p**3.
2*(p - 8)*(p - 7)*(p + 1)/3
Let a(f) be the first derivative of -f**6/40 - 3*f**5/80 - 15*f - 6. Let v(y) be the first derivative of a(y). Factor v(p).
-3*p**3*(p + 1)/4
Suppose v**4 - v**2 - 3/2*v + 2*v**3 + 0 - 1/2*v**5 = 0. What is v?
-1, 0, 1, 3
Let a(j) be the third derivative of -2*j**7/21 - 26*j**6/15 - 109*j**5/12 - 167*j**4/8 - 21*j**3 + j**2 + 20*j. Determine m, given that a(m) = 0.
-7, -3/2, -2/5
Let d(r) be the second derivative of -r**6/45 - r**5/20 + r**4/2 - 4*r**3/9 - 320*r. Factor d(z).
-z*(z - 2)*(z + 4)*(2*z - 1)/3
Suppose 22 = -2*i - 0*a + 4*a, a - 6 = i. Let u = 19 + -16. Let h(y) = y - 1. Let f(s) = s**2 + 9*s + 6. Let o(n) = i*f(n) + u*h(n). Factor o(c).
-(c + 3)**2
Let w(y) be the first derivative of 1/6*y**4 - 1/30*y**5 + 5 + 1/3*y**2 - y - 1/3*y**3. Let h(x) be the first derivative of w(x). Factor h(o).
-2*(o - 1)**3/3
Suppose q - 15 = -4*q. Let w be q + (-1)/(-2)*-2. Find g such that 6*g**3 - 6*g**3 + g**4 + 1 - w*g**2 = 0.
-1, 1
Factor -70*y**3 - 19 - 5*y**4 - 14 + 33 + 75*y**2.
-5*y**2*(y - 1)*(y + 15)
Let l(s) be the first derivative of -36/25*s**5 - 7/10*s**6 + 3 + 0*s + 0*s**2 + 2/5*s**3 - 9/20*s**4. Determine w, given that l(w) = 0.
-1, 0, 2/7
Let w(q) be the first derivative of 2*q**3/27 + 3*q**2 - 56*q/9 - 374. Factor w(a).
2*(a - 1)*(a + 28)/9
Let f(w) be the first derivative of -w**4/14 - 4*w**3/21 + 8*w**2/7 + 56. Find y such that f(y) = 0.
-4, 0, 2
Factor -36 - 115*g**2 + 242*g**2 - 123*g**2.
4*(g - 3)*(g + 3)
Let f be (-4)/(-14) - (-248)/14. Suppose -4*w + f = 3*k, -k = -2*w - 2*k + 8. Factor 0 - 2*h**2 - 3 + 3*h + 5*h**2 - w*h**3.
-3*(h - 1)**2*(h + 1)
Suppose 0*v + 3*v = 6, -4*b = -5*v - 2. Let k = -3783 + 41667/11. Let -54/11 + 2/11*s**b + k*s - 18/11*s**2 = 0. Calculate s.
3
Factor 40*i + 26*i**2 + 21 + 29*i**2 - 5 - 56*i**2 + 25.
-(i - 41)*(i + 1)
Let d(n) = n**2 - 16*n - 6. Let k be d(15). Let p be ((-21)/(-9) + -3)*18/k. Find c, given that -2/7*c - 2/7*c**3 + 0 - p*c**2 = 0.
-1, 0
Let x be -10 - -4 - ((-1)/5 - (-233)/(-35)). Factor -x*r**2 - 12/7 + 22/7*r.
-2*(r - 3)*(3*r - 2)/7
Let k = 669 + -665. Let c(u) be the third derivative of u**2 - 1/15*u**5 + 0*u - 1/3*u**k - 2/3*u**3 + 0. Suppose c(j) = 0. Calculate j.
-1
Determine u so that -113*u**2 - 295*u**3 + 299*u**3 + 9*u**2 = 0.
0, 26
Suppose -1/2*v**2 - 24 + 19/2*v = 0. What is v?
3, 16
Let k = -87 + 89. Determine r so that -2*r - 31*r**k + 16*r**2 - 2*r**5 + 8*r**3 + 4 - 4*r + 11*r**2 = 0.
-2, -1, 1
Suppose -7*q = -2*q - 475. Let x = -41 + q. What is y in -18*y**2 + 24*y - 7*y + x*y**2 - 36*y**3 + 47*y + 16 = 0?
-2/3, -1/3, 2
Suppose -88/13*y**2 - 12/13 + 82/13*y = 0. Calculate y.
2/11, 3/4
Let y(s) = 2*s**2 - 66*s + 15. Let c(t) = 3. Let p(u) = -5*c(u) + y(u). Factor p(a).
2*a*(a - 33)
Factor -15 + 20*b**2 - 10*b**3 - 5*b**4 - 10*b + 5*b**3 + 7*b**3 + b**3 + 7*b**3.
-5*(b - 3)*(b - 1)*(b + 1)**2
Let r(s) be the first derivative of -2/25*s**5 - 7/600*s**6 - 1/10*s**4 + 11/3*s**3 + 11 + 0*s + 0*s**2. Let q(h) be the third derivative of r(h). Factor q(d).
-3*(d + 2)*(7*d + 2)/5
Let w(j) be the second derivative of j**6/55 - 7*j**5/110 + 5*j**4/66 - j**3/33 + j + 7. Suppose w(f) = 0. What is f?
0, 1/3, 1
Suppose 3 = -2*a + 3*z - 4, -3 = -3*z. Let n be -5*((-117)/15 - a). Solve -6*y**3 - 3*y**4 - 29*y + n*y = 0.
-2, 0
Let m(d) be the third derivative of 19*d**2 + 0*d + 10/3*d**3 + 1/24*d**6 + 0 + 5/12*d**5 + 5/3*d**4. Factor m(u).
5*(u + 1)*(u + 2)**2
Let l be -26*5/40 + (-2 - 2)/(-1). Suppose -l*z - 1/4*z**3 + 0 - z**2 = 0. Calculate z.
-3, -1, 0
Suppose -3*v = 3*s - 6, -4*v + 5 = -10*s - 3. Find p such that s*p - 2/5 + 12/5*p**2 + 6/5*p**4 + 16/5*p**3 = 0.
-1, 1/3
Let w(f) be the second derivative of -2/5*f**3 - 1/10*f**4 - 4/5*f**2 + 0 - 1/100*f**5 - 18*f. Factor w(l).
-(l + 2)**3/5
Let f = -76 + 79. Suppose -m - q = -f*q + 6, 5*q = 25. Factor -10*r + 160/3*r**2 + 2/3 + 0*r**m - 320/3*r**3 + 512/3*r**5.
2*(r + 1)*(4*r - 1)**4/3
Let k(p) be the second derivative of p**4/3 - 10*p**3/3 + 12*p**2 + 749*p. What is x in k(x) = 0?
2, 3
Suppose 7*m = -14 - 0. Let n be 2 - 0/m - (-18)/(-9). Let -g**4 + g**2 + 0 + n*g**3 - 1/2*g + 1/2*g**5 = 0. What is g?
-1, 0, 1
Let q(u) be the second derivative of -u**6/36 - 3*u**5/2 - 55*u**4/4 + 315*u**3 - 6615*u**2/4 - 319*u. Determine a, given that q(a) = 0.
-21, 3
Let n(p) be the second derivative of 0*p**5 - 1/48*p**4 + 0 + 0*p**3 + 0*p**2 + 1/120*p**6 - 35*p. Determine d so that n(d) = 0.
-1, 0, 1
Let z(p) = -16*p + 34. Let c be z(2). Let d(b) be the first derivative of 5 + 0*b - 1/7*b**c - 2/21*b**3. Let d(t) = 0. Calculate t.
-1, 0
Let m(p) be the second derivative of -p**5/10 - 63*p**4/2 - 3008*p**3 - 8836*p**2 - 247*p. Factor m(a).
-2*(a + 1)*(a + 94)**2
Let f = 75 + -71. Let n(c) be the first derivative of 3*c**4 - 4/5*c**5 - 2/3*c**6 + 20/3*c**3 - 1 + 0*c + f*c**2. Factor n(a).
-4*a*(a - 2)*(a + 1)**3
Let f(u) = 19*u**3 + 31*u**2 + 5*u + 7. Let k be 0 + (1 - -1) + -4. Let r(l) = 6*l**3 + 10*l**2 + 2*l + 2. Let t(q) = k*f(q) + 7*r(q). Factor t(b).
4*b*(b + 1)**2
Let r be (-136)/(-22) + (-2)/11. Suppose -b = -r*b. Suppose -4 - 20*d**4 + 8*d**3 - 12*d**5 + 26*d**2 - 2*d**2 + 4*d + b*d = 0. What is d?
-1, 1/3, 1
Let a(j) = j - 2. Suppose 3*w = 3*p - 3, 4*w + 4*p - 2*p = 26. Let s be a(w). Determine y so that -2*y**4 + 10*y**s - 10*y**2 + 2*y**5 = 0.
0, 1
Suppose 0 = 5*n + 4*n. Let x(g) be the third derivative of 1/210*g**5 + 0*g**4 + 0*g**6 - 1/735*g**7 + g**2 + 0 + 0*g + n*g**3. Find d, given that x(d) = 0.
-1, 0, 1
Let o(u) be the second derivative of u**6/75 + 4*u**5/25 + 13*u**4/30 + 2*u**3/5 + 84*u. Factor o(j).
2*j*(j + 1)**2*(j + 6)/5
Let v = -211 - -218. Let o(u) be the second derivative of -5*u + 9/5*u**5 + 1/14*u**v + 0*u**3 + 0*u**2 - 3/5*u**6 + 0 - 2*u**4. Factor o(i).
3*i**2*(i - 2)**3
Suppose 4*j - 104*j + 200 = 0. Factor -3/2*s**3 + 3/2*s + 3/2 - 3/2*s**j.
-3*(s - 1)*(s + 1)**2/2
Let x be 0 + -3 + 14 + -5. Suppose 9 - 17 + 0*p - x*p - p**2 = 0. What is p?
-4, -2
Let k(z) be the third derivative of -z**7/210 - 2*z**6/45 + z**5/30 + 2*z**4/3 - 5*z**3/6 + z**2 + 15. Let g(h) be the first derivative of k(h). Factor g(q).
-4*(q - 1)*(q + 1)*(q + 4)
Let l(s) be the first derivative of -s**7/280 + s**5/10 + 2*s**3/3 - 4. Let z(y) be the third derivative of l(y). Factor z(r).
-3*r*(r - 2)*(r + 2)
Let -423/8*x**2 - 273/2*x + 39/4*x**3 - 147/2 - 3/8*x**4 = 0. Calculate x.
-1, 14
Let v(s) = 3*s**2 + 18*s - 33. Let h(t) = -6*t**2 - 39*t + 67. Let d(o) = -6*h(o) - 11*v(o). Suppose d(f) = 0. What is f?
-13, 1
Let k be (-3)/7 + (-14946)/(-25662). Let s be (-2)/(-9) + 2514/351. Solve s*j - 128/13 + k*j**3 - 24/13*j**2 = 0.
4
Factor -3/2*z**2 - 1536 + 96*z.
-3*(z - 32)