0*4/16 + 4/38. Factor -t*l**2 + 2/19*l**3 + v*l + 0.
2*l**2*(l - 1)/19
Let z(k) be the second derivative of 2/3*k**3 - 7*k**2 - k - 15 - 1/42*k**4. Suppose z(y) = 0. Calculate y.
7
Factor -20*t**3 + 0*t**2 + 0*t - 2/3*t**4 + 0.
-2*t**3*(t + 30)/3
Let t(h) be the third derivative of h**7/525 + 77*h**6/150 + 6373*h**5/150 + 2849*h**4/5 + 16428*h**3/5 + 15*h**2 + 8*h. Let t(g) = 0. Calculate g.
-74, -3
Let z(u) be the third derivative of 0*u**3 - 11/24*u**6 + 3/4*u**5 - 51*u - u**2 + 5/12*u**4 + 0. Suppose z(x) = 0. What is x?
-2/11, 0, 1
Let j(s) = 52*s**2 + s - 1. Let r(y) = -103*y**2 + 196*y + 9803. Let d(f) = 4*j(f) + 2*r(f). Factor d(a).
2*(a + 99)**2
Let s be 8/(-18) - (-132)/54. Solve s*x**4 + 36*x**3 + 30*x**2 - 10*x**4 - 11*x**3 + 3*x**4 = 0 for x.
-1, 0, 6
Solve 776/7 - 1172/7*c + 12/7*c**2 = 0.
2/3, 97
Solve 450000*d + 5/3*d**3 - 45000000 - 1500*d**2 = 0 for d.
300
Let a(t) be the first derivative of 25*t**5/12 + 75*t**4/4 + 135*t**3/2 - 92*t**2 + 25. Let n(m) be the second derivative of a(m). Factor n(y).
5*(5*y + 9)**2
Let i(p) be the first derivative of -7/5*p**5 + 32/3*p**3 + 3*p**4 - 24*p**2 - 16*p - 47. Factor i(d).
-(d - 2)**2*(d + 2)*(7*d + 2)
Let g(y) be the first derivative of 1/36*y**4 + 9*y + 1/6*y**3 - 28 + 0*y**2. Let c(f) be the first derivative of g(f). Factor c(d).
d*(d + 3)/3
Suppose -201*c = -211*c + 20. Find o such that 0*o + 3/2*o**c + 0 - 1/4*o**4 + 5/4*o**3 = 0.
-1, 0, 6
Let g(h) be the second derivative of h**4/24 - 115*h**3/6 - 116*h**2 - 9058*h + 1. Factor g(a).
(a - 232)*(a + 2)/2
Let f(w) = 2*w**3 - 2336*w**2 - 661242*w + 8. Let i(r) = r**3 - 2327*r**2 - 661244*r + 6. Let t(y) = 3*f(y) - 4*i(y). Determine k so that t(k) = 0.
-575, 0
Let r = -99308 - -496581/5. Find o, given that 4*o**3 - 9/5*o**4 + r*o**2 + 12/5 - 64/5*o = 0.
-2, 2/9, 1, 3
Suppose 0 = 13*m + 33222 - 11018. Let z = m + 1708. Factor -3/2*x**2 + z + 3/2*x.
-3*x*(x - 1)/2
Let x(y) = y**3 + 6*y**2 + 3*y + 18. Let v be x(-3). Find s, given that -34*s**2 + 3*s**2 + v*s**2 + 180 + 60*s = 0.
-6
Let h be (-1)/(-3)*((-9)/(-1) - 6). Let v(g) = -g**4 + g**2 + g + 5. Let b(t) = 11*t**4 + 22*t**3 + 15*t**2 + 2*t - 10. Let l(p) = h*b(p) + 2*v(p). Factor l(i).
i*(i + 1)**2*(9*i + 4)
Determine p so that 138/5*p + 201/5*p**2 - 21*p**4 - 96/5 - 132/5*p**3 - 6/5*p**5 = 0.
-16, -2, -1, 1/2, 1
Let j(i) be the second derivative of -i**7/14 - 107*i**6/5 - 34983*i**5/20 - 5671*i**4 - 5618*i**3 + 896*i. Let j(r) = 0. Calculate r.
-106, -1, 0
Let c(o) = o**2 - 6*o + o**2 + o - 4*o. Let h(m) = -m**2 + 5*m. Let f be 1/((-400)/(-56) - 7). Let l(b) = f*h(b) + 4*c(b). Let l(q) = 0. What is q?
0, 1
Let h = -326 + 156. Let a = h + 174. Suppose -2/5*s**2 - 10 + a*s = 0. What is s?
5
Suppose 44*v - 4 = 42*v. Factor -20*i**3 - 5*i + i**v + 24*i**3 + 9*i - 9*i**2.
4*i*(i - 1)**2
Let h = 378 - 361. Let n = 4 - 2. Factor -h*p + 0*p**3 + n*p**4 + 10*p**2 + 13*p - 8*p**3.
2*p*(p - 2)*(p - 1)**2
Let l(q) be the first derivative of -2*q**5/85 + 5*q**4/34 + 16*q**3/17 + 4*q**2/17 - 64*q/17 + 10741. Find r, given that l(r) = 0.
-2, 1, 8
Let f = 136327439 + -938069104782/6881. Let d = -4/983 + f. Factor 3/7*k - d*k**2 + 0.
-3*k*(k - 1)/7
Let u = -219 - -222. Determine d so that -3*d**5 - 15*d**4 - u*d**3 + 44*d**2 - 44*d**2 - 9*d**5 = 0.
-1, -1/4, 0
Let s(k) be the second derivative of k**6/30 + 2*k**5 - 57*k**4/4 + 109*k**3/3 - 44*k**2 - 2213*k. Let s(d) = 0. What is d?
-44, 1, 2
Let y(p) = 495*p**3 - 4805*p**2 - 10595*p + 3635. Let s(d) = 41*d**3 - 400*d**2 - 883*d + 303. Let m(v) = 35*s(v) - 3*y(v). Solve m(k) = 0 for k.
-2, 3/10, 10
Suppose 422140 + 224276 + 3*v**2 - 7851*v + 4635*v + v**2 = 0. Calculate v.
402
Suppose 0 = -5*k - 7*k + 24. Factor -10*i**2 + 6*i**3 + 3*i**2 + 3*i**2 + i**4 - 2*i**2 - i**k.
i**2*(i - 1)*(i + 7)
Let k = 1476 + -1472. Let i(r) be the first derivative of 14 + r**4 + k*r - 1/5*r**5 - r**3 - 2*r**2. Factor i(p).
-(p - 2)**2*(p - 1)*(p + 1)
Suppose -3*k - 3*y = -2082, 11*k + 2740 = 15*k - 5*y. Let c = -687 + k. Find z such that 1/3*z**4 + 1/3 - 1/3*z - 1/3*z**5 + 2/3*z**c - 2/3*z**2 = 0.
-1, 1
Let f(t) be the third derivative of -1/330*t**5 + 0 + 1/660*t**6 - 1/132*t**4 + t**2 - 5*t + 1/33*t**3. Factor f(s).
2*(s - 1)**2*(s + 1)/11
Factor -2/9*o**3 - 2*o**2 - 22/9 + 14/3*o.
-2*(o - 1)**2*(o + 11)/9
Let c be (-38)/44*213564/(-26011). Suppose g - 8 = -g. Determine a so that c*a - 58/11*a**2 + 18/11*a**3 - 36/11 - 2/11*a**g = 0.
1, 2, 3
Let p(n) be the second derivative of 170/3*n**3 + 5/6*n**4 + 153*n - 17/4*n**5 + 0 - 20*n**2. Determine h, given that p(h) = 0.
-2, 2/17, 2
Let c(w) = -w**2 + 10*w - 19. Let m be c(7). Let -54*j + 26 + 2*j**4 - 18*j**2 + 26*j + 20*j - m = 0. Calculate j.
-2, 1, 3
Let r = -5706 - -5709. Let b(z) be the third derivative of -1/20*z**5 + 0 + 8*z**2 + 0*z + 1/8*z**4 + 0*z**r. Determine j so that b(j) = 0.
0, 1
Factor -69/5*z**3 + 0*z - 3/5*z**4 + 0 + 72/5*z**2.
-3*z**2*(z - 1)*(z + 24)/5
Factor -2/11*g**2 + 1864/11 - 458/11*g.
-2*(g - 4)*(g + 233)/11
Let h(c) be the first derivative of -17205904*c**3/7 + 12444*c**2/7 - 3*c/7 + 9610. What is q in h(q) = 0?
1/4148
Let l be (1 + ((-30)/(-4) - 1))*26/65. Let d(x) be the second derivative of -8*x - 3*x**2 - 3/2*x**l + 3/20*x**5 + 0*x**4 + 0. Factor d(q).
3*(q - 2)*(q + 1)**2
Suppose -110 + 215*q + 25*q**3 + 248*q**2 - 90*q**2 - 10*q**3 + 182*q**2 = 0. Calculate q.
-22, -1, 1/3
Let t(r) = -27*r**4 + 7*r**3 + 3*r + 3. Let y be 34/(-10) + 4/10. Let i(s) = -296*s**4 + 76*s**3 + 32*s + 32. Let b(h) = y*i(h) + 32*t(h). Factor b(m).
4*m**3*(6*m - 1)
Let d(j) be the first derivative of -j**6/7 - 11*j**5/35 + 20*j**4/7 + 71*j**3/21 - 79*j**2/7 + 24*j/7 - 1167. Determine w so that d(w) = 0.
-4, -2, 1/6, 1, 3
Let c be -2 + 458/10 + -6. Let v = c + -243/10. Suppose -v*m**3 - 9/2*m - 1/2 - 27/2*m**2 = 0. Calculate m.
-1/3
Let z = 36 + -12. Suppose 0 = 2*k - 2*o - 2, -4*k = 2*o - z + 2. Factor k*v**5 + 4*v**3 + 6*v**4 - 14*v**4 + 0*v**4.
4*v**3*(v - 1)**2
What is v in 0 + 114/5*v**3 - 102/5*v**2 - 108/5*v + 102/5*v**4 - 6/5*v**5 = 0?
-1, 0, 1, 18
Let c be (3/(-24))/(920/(-128) - -6). Factor c*f**2 - 6/19*f - 8/19.
2*(f - 4)*(f + 1)/19
Let d(z) = z**4 - 3*z**3 + 3. Suppose 0*q = 4*q - 5*b + 62, 3*q - 3*b = -45. Let i = 10 + q. Let y(f) = -f**3 + 1. Let u(o) = i*y(o) + d(o). Factor u(p).
p**4
Factor 9*x - 4*x**3 - 3 + 3 + 18*x**2 - 8*x**2 + 3*x - 2*x**4.
-2*x*(x - 2)*(x + 1)*(x + 3)
Suppose 1682 - 282 = 945*u - 2380. What is b in 0 + 8/7*b**u + 8/7*b - 26/7*b**2 - 26/7*b**3 = 0?
-1, 0, 1/4, 4
Let n = -2917 + 8755/3. Let o(x) be the first derivative of -11 + 0*x**2 - 16*x + n*x**3. Factor o(l).
4*(l - 2)*(l + 2)
Suppose 0 = 12*c - 50*c + 586 + 402. Let m(x) be the second derivative of -1/3*x**2 - 1/9*x**4 + 0*x**5 - c*x + 0 + 8/27*x**3 + 1/135*x**6. Factor m(s).
2*(s - 1)**3*(s + 3)/9
Let c = -101 + 104. Find w such that -50 - 4*w**3 + 102 + 48 + 44*w**2 - 140*w + 0*w**c = 0.
1, 5
Suppose -j = 3*t - 6 - 8, -18 = -2*t - 5*j. Let y be 231/(-112) - -2 - ((-8520)/(-896) + -13). Factor -36/7*i**2 + 0*i - 4/7*i**t + 0 + y*i**3.
-4*i**2*(i - 3)**2/7
Suppose -5*a = -5*f + 10, -3*f = -4*a + 57 - 65. Let o(y) be the first derivative of -9 + 1/9*y**3 + f*y - 1/6*y**2 + 1/6*y**4. Find n such that o(n) = 0.
-1, 0, 1/2
Let y(z) be the first derivative of -2/21*z**3 + 0*z**2 + 73 - 1/28*z**4 + 1/35*z**5 + 0*z. Factor y(f).
f**2*(f - 2)*(f + 1)/7
Let y(z) be the third derivative of z**5/100 + z**4/5 + 8*z**3/5 + 2673*z**2 - z. Factor y(o).
3*(o + 4)**2/5
Let r(o) be the first derivative of -5*o**6/2 + 83*o**5 - 1955*o**4/2 + 4410*o**3 - 6075*o**2/2 - 3645*o + 4131. Let r(u) = 0. What is u?
-1/3, 1, 9
Let v be (-580128)/252 - (-2)/21. Let s = v + 2302. Solve -9/8*h**4 + s + 3/4*h - 3/8*h**3 + 9/8*h**2 - 3/8*h**5 = 0.
-2, -1, 0, 1
Suppose -n + 2 = 0, 6*a - 5*n = 3*a - 4. Solve 8*p + 30 - 5*p**2 + 2*p**2 + p + 0*p**a = 0.
-2, 5
Suppose -8*j = 320 + 64. Let n be (30/(-108))/(60/j). Factor 0*l - 2/9 + n*l**2.
2*(l - 1)*(l + 1)/9
Factor 47*h - 6871*h - 27*h**2 - 7060*h + 24*h**2 - 16063788.
-3*(h + 2314)**2
Suppose -6*c + 2*c = 2*i - 26, 32 = 2*i + c. Suppose -2*f**2 - 19 + 3*f + 9*f - i + 5*f**2 = 0. What is f?
-6, 2
Suppose -294 = -9*n + 58*n. Let v be (4/44)/(n/(-11)). Suppose -1/6*k**5 + 0 + v*k**3 + 0*k**4 + 0*k + 0*k