+ 6*r(u). Find w such that n(w) = 0.
-5
Let o(c) = -c**2 + 5*c + 7. Let z be o(5). Solve -7*t - 12*t**2 + 6*t - z*t = 0 for t.
-2/3, 0
Let d(w) = -5*w**2 + 325*w - 340. Let f(a) = 4*a**2 - 162*a + 170. Let s(c) = 3*d(c) + 5*f(c). Factor s(q).
5*(q - 1)*(q + 34)
Let 0*g**2 + 40/11*g + 32/11 - 10/11*g**3 - 2/11*g**4 = 0. Calculate g.
-4, -2, -1, 2
Let n(g) be the first derivative of -5*g**3/12 + 215*g**2/4 - 9245*g/4 - 113. Factor n(r).
-5*(r - 43)**2/4
Suppose 0 = -267*m + 280*m - 39. Factor -6/11*p + 0 + 4/11*p**2 + 2/11*p**m.
2*p*(p - 1)*(p + 3)/11
Determine m, given that -8*m**3 + 12*m + 61*m**5 + 40 - 65*m**5 - 3*m**4 + 27*m**4 - 64*m**2 = 0.
-1, 1, 2, 5
Let k = -48 - -30. Let f be (6/(-72))/(4/k). Factor -3/8*q**2 - f + 3/4*q.
-3*(q - 1)**2/8
Let k = -140358/11 + 12760. Find i such that 8/11 - k*i**2 + 0*i = 0.
-2, 2
Let j be ((-68)/(-60) - 1)/(1/12). Factor j + 2*y + 2/5*y**2.
2*(y + 1)*(y + 4)/5
Let l = 13881 + -13877. Find r such that 2/11*r**3 - 8/11*r**2 + 8/11*r**l + 0 - 2/11*r = 0.
-1, -1/4, 0, 1
Factor 1/10*t**5 + 3/10*t**4 - 1/2 - t**3 + 9/10*t + 1/5*t**2.
(t - 1)**3*(t + 1)*(t + 5)/10
Let j = 316 + -316. Let x(t) be the second derivative of 11/9*t**4 + 7*t - 16/15*t**5 - 4/9*t**3 + 0 + j*t**2 + 14/45*t**6. Let x(q) = 0. What is q?
0, 2/7, 1
Let b = 12 - 35/3. Let q = -7/15 - -4/5. Factor -b*t**2 + 1/3 - q*t + 1/3*t**3.
(t - 1)**2*(t + 1)/3
Solve 30*a**4 + 0 + 36*a + 60*a**2 - 135*a**3 + 1647*a**5 - 1638*a**5 + 0 = 0 for a.
-6, -1/3, 0, 1, 2
Let 24*z - 36 - 3*z**4 + 13*z**3 - 35*z**3 + 3*z**5 + 39*z**2 - 5*z**3 = 0. Calculate z.
-3, -1, 1, 2
Suppose -15 = -35*z + 32*z - 3*d, 0 = 4*z - 3*d + 1. Factor -4/5*a**2 - 2/5*a**3 + z*a + 12/5.
-2*(a - 2)*(a + 1)*(a + 3)/5
Solve -15*r**4 - 120*r - 357*r**3 + 68*r**3 + 116*r**2 + 229*r**2 + 225*r**2 - 31*r**3 - 115 = 0 for r.
-23, -1/3, 1
Let p(k) be the second derivative of 0*k**2 + 13/10*k**5 - 2/5*k**6 + 0 - 2*k**4 + 1/21*k**7 + 4/3*k**3 - 12*k. Suppose p(o) = 0. What is o?
0, 1, 2
Suppose 34/15*z**5 + 268/15*z**4 + 416/15*z - 64/15 + 784/15*z**3 + 992/15*z**2 = 0. What is z?
-2, 2/17
Let o = 15521/20 + -776. Let s(x) be the second derivative of -8*x**3 + 32*x**2 + 0 + x**4 - o*x**5 + 5*x. Factor s(w).
-(w - 4)**3
Let z(v) = -64*v**3 + v**2 - 1. Let t be z(-1). Factor 24 - t*s + 8 + 16*s - 4*s**3 + 37*s**2 - 13*s**2.
-4*(s - 2)**3
Suppose -c + 6 = 3*h - 1, -2*h = 2*c - 6. Determine m so that 3/5*m**h - 9/5*m + 6/5 = 0.
1, 2
Let v = 1/16945 - -169447/50835. Determine u so that -v*u - 5/3*u**2 + 0 = 0.
-2, 0
Let y = -97/50 + 1091/150. Factor 0 + 2/3*g**5 + 0*g + 10/3*g**4 + y*g**3 + 8/3*g**2.
2*g**2*(g + 1)*(g + 2)**2/3
Let o(j) be the third derivative of -243*j**6/260 + 324*j**5/13 - 3600*j**4/13 + 64000*j**3/39 - 100*j**2. Factor o(f).
-2*(9*f - 40)**3/13
Let r be ((-70)/(-21))/((-2)/(-3)). Suppose r*v + 0*v - 10 = 0. What is w in w**2 - 3*w**3 + 3*w**2 + 0*w**v - w**2 = 0?
0, 1
Let a(i) be the first derivative of -1/5*i**3 + 3/5*i - 3/20*i**4 - 7 + 3/10*i**2. Factor a(x).
-3*(x - 1)*(x + 1)**2/5
Let d(o) = -o**4 - 18*o**3 + 19*o**2 + 70*o + 40. Let a(j) = j**4 - 17*j**3 + 21*j**2 + 70*j + 40. Let t(p) = 2*a(p) - 3*d(p). Let t(f) = 0. What is f?
-4, -1, 2
Let o(n) be the third derivative of n**6/360 - 13*n**5/180 + 55*n**4/72 - 25*n**3/6 + 6*n**2 - 12*n. Let o(w) = 0. Calculate w.
3, 5
Suppose -4*p**2 - 13345 - 15397 - 1000*p - 18456 - 15302 = 0. What is p?
-125
Suppose 4*d + 28*o = 23*o - 27, 0 = -d - 5*o - 33. Let -1/3*q**d + 1/3*q + 0 = 0. Calculate q.
0, 1
Let x(l) be the second derivative of 2/55*l**5 - 1/165*l**6 - 1/231*l**7 + 2/33*l**4 + 0*l**3 + 0 + 0*l**2 - 44*l. Determine u, given that x(u) = 0.
-2, -1, 0, 2
Let h(k) = 0 + 2 + 11*k**2 + 2*k**2 - 4*k**2 - 7*k - k**3. Let f be h(6). Suppose l + 3*l**5 - 70*l**3 + f*l**3 - 2*l**5 = 0. Calculate l.
-1, 0, 1
Find y, given that 3*y**2 - 12135 - 2*y**2 + 12131 = 0.
-2, 2
Let m(r) be the second derivative of r**5/20 - 11*r**4/12 + 35*r**3/6 - 25*r**2/2 + 199*r. Factor m(w).
(w - 5)**2*(w - 1)
Determine l so that -1/2*l**2 + 0 - 23/2*l = 0.
-23, 0
Factor -2/7*b**4 + 2/7*b**5 - 2/7 + 4/7*b**2 + 2/7*b - 4/7*b**3.
2*(b - 1)**3*(b + 1)**2/7
Let p(m) = -m**2 - m. Suppose 10 = -4*u - 2. Let c be 10/(-8) - (-3)/12. Let q(j) = j**4 + 3*j**3 + 6*j**2 + 4*j. Let b(o) = c*q(o) + u*p(o). Factor b(f).
-f*(f + 1)**3
Let x = -17 - -13. Let t(n) = 8*n**2 + 8*n. Let d(w) = -5*w + 7*w - w**2 - w. Let y(v) = x*d(v) + t(v). Factor y(h).
4*h*(3*h + 1)
Let g(c) = 31*c**3 + 41*c**2 - 79*c + 37. Let b(o) = 36*o**3 + 41*o**2 - 78*o + 36. Let w(z) = -6*b(z) + 7*g(z). What is m in w(m) = 0?
-43, 1
Let p = 36983 + -36981. Factor 0*u + 2/5*u**p - 2/5.
2*(u - 1)*(u + 1)/5
Factor 5/3*t**4 + 0 - 8/3*t**3 + 0*t - 4/3*t**2.
t**2*(t - 2)*(5*t + 2)/3
Suppose -4*f + 10 + 14 = 0. Let u = 8 - f. Factor 3/2 - 9/4*g + 3/4*g**u.
3*(g - 2)*(g - 1)/4
Factor 0*c**3 + 4/5*c**2 - 2/5*c**4 - 2/5 + 0*c.
-2*(c - 1)**2*(c + 1)**2/5
Let i(b) be the second derivative of 5*b**4/12 - 70*b**3/3 + 100*b. Factor i(c).
5*c*(c - 28)
Let c(w) be the second derivative of 3*w**5/140 + 5*w**4/56 - w**3/7 - 11*w**2/2 + w. Let r(i) be the first derivative of c(i). Factor r(b).
3*(b + 2)*(3*b - 1)/7
Let l(x) = -x**3 - 21*x**2 - 36*x + 50. Let o be l(-19). Let g = -2 + 4. Determine h so that 4*h + 24 - 16 - 8*h - o*h**g = 0.
-1, 2/3
Let c(l) = -14*l**2 + 344*l + 102. Let f(k) = 5*k**2 - 115*k - 34. Let x(t) = 4*c(t) + 14*f(t). Factor x(b).
2*(b - 17)*(7*b + 2)
Let o(r) be the first derivative of -1/7*r**4 + 2/35*r**5 + 2/7*r**2 + 12 - 2/7*r + 0*r**3. Factor o(w).
2*(w - 1)**3*(w + 1)/7
Let m(z) be the second derivative of -2*z**6/15 + 3*z**5/5 + 5*z**4/3 - 2*z**3 - 8*z**2 + 4*z - 36. Solve m(b) = 0.
-1, 1, 4
Let i = -425 - -596. Let m = 1541/9 - i. Solve -2/9 - 4/9*d - m*d**2 = 0 for d.
-1
Factor -14/5*k - 6*k**2 + 0 - 18/5*k**3 - 2/5*k**4.
-2*k*(k + 1)**2*(k + 7)/5
Let q(a) = -a**2 - 8*a - 13. Let n = 154 - 157. Let w be q(n). Determine s so that 0 - 1/6*s**w + 1/6*s = 0.
0, 1
Let d(f) = -2*f + 6. Let s be d(6). Let u be s/(-11)*(21/(-9) - -3). Let -2/11*l**5 + 0*l**2 + 0 - 2/11*l**4 + u*l**3 + 0*l = 0. What is l?
-2, 0, 1
Let d(t) be the second derivative of -t**6/10 + 63*t**5/20 - 137*t**4/4 + 279*t**3/2 - 243*t**2 + 196*t - 2. Determine i so that d(i) = 0.
1, 2, 9
Let i = -143146/7 + 20450. Factor 2/7*j**2 - i*j - 6/7.
2*(j - 3)*(j + 1)/7
Let w(d) be the third derivative of -d**6/660 + d**5/330 + d**4/33 - 4*d**3/33 - 510*d**2. Factor w(f).
-2*(f - 2)*(f - 1)*(f + 2)/11
Let t(c) = c**2 - 2*c - 1660. Let u be t(42). Let -14/3*d**5 - 8/3*d - 16*d**2 + 0 - u*d**4 - 86/3*d**3 = 0. Calculate d.
-2, -1, -2/7, 0
Determine m so that -6*m - 7*m**3 - 1121*m**2 + 1131*m**2 + 2*m**3 + m = 0.
0, 1
Let r be (-2 + (-21)/(-9))*33. Let 20*p**5 + 48*p**3 - 13*p**4 - 32*p**2 - 16*p**5 - r*p**4 = 0. Calculate p.
0, 2
Factor -1/9*u**4 + 0 + 0*u - 8/9*u**3 + 20/9*u**2.
-u**2*(u - 2)*(u + 10)/9
Let a be (-162)/30 - (-10 - (-2 - -3)*-4). Determine g so that -3/5*g - 1/5*g**3 - 1/5 - a*g**2 = 0.
-1
Let t(j) be the first derivative of j**7/1680 + j**6/720 - j**5/240 - j**4/48 - 13*j**3/3 + 1. Let z(a) be the third derivative of t(a). Factor z(u).
(u - 1)*(u + 1)**2/2
Let f be 766/6 + -3 + (-16)/(-12). Suppose 122 = -l + f. Factor 0 - 20/9*d**l - 8*d**3 - 12*d**2 - 2/9*d**5 - 6*d.
-2*d*(d + 1)*(d + 3)**3/9
Let d(p) = -11*p**4 - 11*p**3 - 23*p**2 - 7*p - 13. Let h(g) = -5*g**4 - 5*g**3 - 11*g**2 - 3*g - 6. Let s(z) = -6*d(z) + 13*h(z). Factor s(t).
t*(t - 1)**2*(t + 3)
Let q(c) be the first derivative of 2*c**5/5 + 5*c**4 + 22*c**3 + 40*c**2 + 32*c - 42. Factor q(j).
2*(j + 1)**2*(j + 4)**2
Let q be 19/57 - -7 - 7. Let x be 0/(-2)*(-1)/2. Factor q*g**2 + x*g - 4/3.
(g - 2)*(g + 2)/3
Let p(f) be the first derivative of -f**5/50 - f**4/10 + 7*f**3/30 + f**2/2 + 19. Determine y so that p(y) = 0.
-5, -1, 0, 2
Let r(n) be the third derivative of -n**5/510 + 2*n**4/51 - 3*n**2 + 51. Factor r(t).
-2*t*(t - 8)/17
Let x(l) = 4*l**3 - 20*l**2 - 90*l - 60. Let b(f) = f**3 + f**2 + f + 2. Let n(q) = 6*b(q) - x(q). Factor n(h).
2*(h + 1)*(h + 6)**2
Let x(h) be the third derivative of -h**8/560 - 3*h**7/70 - 47*h**6/200 + 79*h**5/100 + 6*h**4/5 - 32*h**3/5 - 273*h**2. Solve x(m) = 0 for m.
-8, -1, 1
Factor 3/2*t**2 + 0 + 1/2*t**4 + 3/2