 of 1/56*u**7 + 0*u**3 - 1/448*u**8 + 0 - u**2 + 0*u - 1/20*u**6 + 0*u**4 + 1/20*u**5. Determine w, given that k(w) = 0.
0, 1, 2
Let d be ((-1)/(-4))/((-10)/(-20))*0. Let p(s) be the third derivative of 0*s + 1/220*s**6 + d*s**3 - 1/165*s**5 + 0 + 0*s**4 - 2*s**2. Factor p(f).
2*f**2*(3*f - 2)/11
What is v in 2/5*v**2 + 14/5*v**3 + 0 + 0*v - 16/5*v**4 = 0?
-1/8, 0, 1
Let d be 10 + 14/6*-4. Factor -1/3*q**2 - d*q + 0.
-q*(q + 2)/3
Let l(c) = -c**3 - 6*c**2 + 15*c + 56. Suppose -4*j = 0, -4*j + 3 = p + 10. Let b be l(p). Factor -1/2*q**2 + b*q + 0.
-q**2/2
Let v(y) be the second derivative of 1/18*y**4 + 1/9*y**3 - 1/30*y**5 - 1/3*y**2 - 5*y + 0. Suppose v(l) = 0. Calculate l.
-1, 1
What is c in -70*c**4 - 18*c**5 - 74*c**2 - 24*c - 314/3*c**3 - 8/3 = 0?
-1, -2/3, -2/9
Solve 5/3*f**2 + 50/3 + 35/3*f = 0 for f.
-5, -2
Let w = 29147 - 29145. Let 2/7*b**w + 72/7 - 24/7*b = 0. Calculate b.
6
Let l(z) = -4*z**3 + z**2 + 2*z + 1. Let s be l(-1). Suppose -5*h + 18 = 4*r, -2*h = -4*h + s. Find d, given that 19 - 18*d + 19 - 11 + 3*d**r = 0.
3
Suppose -2*g = -4*g + 4. Factor 3*w**3 - 15*w**2 - 12 + 0*w + 0*w + 24*w**g.
3*(w - 1)*(w + 2)**2
Suppose 40 = -15*j + 205. Let p = j - 9. Suppose 2/5*k**4 + 0*k**3 - 4/5*k**p + 2/5 + 0*k = 0. What is k?
-1, 1
Let x = -376 + 11281/30. Let t(a) be the third derivative of 1/525*a**7 + 0*a**5 - 5*a**2 - 1/15*a**3 - x*a**4 + 0 + 0*a + 1/150*a**6. Factor t(l).
2*(l - 1)*(l + 1)**3/5
Let b(t) be the third derivative of t**6/30 - t**5/15 - t**3/6 - 5*t**2. Let m(a) be the first derivative of b(a). Factor m(w).
4*w*(3*w - 2)
Let f(h) be the second derivative of -h**5/160 - 35*h**4/12 - 1225*h**3/3 - 581*h. Let f(o) = 0. What is o?
-140, 0
Let b(i) be the second derivative of -i**6/180 + i**5/60 - 13*i**3/3 + 28*i. Let c(m) be the second derivative of b(m). Determine s, given that c(s) = 0.
0, 1
Let t(l) be the first derivative of -l**4/2 + l**3/3 + l**2 - l + 53. Factor t(r).
-(r - 1)*(r + 1)*(2*r - 1)
Let q(t) be the first derivative of 0*t**4 + 0*t**2 - 12 - 3/10*t**5 + 0*t**3 + 0*t. What is c in q(c) = 0?
0
Let s = -2313 - -2313. Let d(z) be the third derivative of 13*z**2 - 1/120*z**5 + s*z + 0 + 1/18*z**3 - 1/48*z**4 + 1/360*z**6. Factor d(c).
(c - 2)*(c + 1)*(2*c - 1)/6
Let v(b) be the second derivative of b**6/18 - 7*b**5/6 + 325*b**4/36 - 250*b**3/9 - 19*b + 6. Factor v(u).
5*u*(u - 5)**2*(u - 4)/3
Let i(h) be the first derivative of 4*h**3/21 - 20*h**2/7 - 44*h/7 + 106. Factor i(w).
4*(w - 11)*(w + 1)/7
Suppose 2*k = 4 + 2. Let j be k/30*34 + -3. Suppose 4/5*b**2 + 2/5*b + 2/5*b**5 - 4/5*b**3 - 2/5 - j*b**4 = 0. What is b?
-1, 1
Let o(b) = -4*b + 34. Let j be o(8). Let m be 26/8 - 3 - j/(-56). What is q in -m*q**2 + 1/7*q + 0 + 1/7*q**3 = 0?
0, 1
Let p(r) be the third derivative of 9*r**6/40 + 13*r**5/5 - 39*r**4/2 + 16*r**3 + 5*r**2 - 3*r. What is m in p(m) = 0?
-8, 2/9, 2
Let l(r) be the first derivative of r**6/45 + r**5/15 - r**4/6 + r - 4. Let v(m) be the first derivative of l(m). Solve v(b) = 0 for b.
-3, 0, 1
Factor -3*q**4 + 18 + 17 + 7*q**2 - 21*q**3 - 46*q**2 + 9*q + 19.
-3*(q - 1)*(q + 2)*(q + 3)**2
Let o(p) = -4*p + 13. Let x be o(-9). Let u = x - 47. Let 12/5 - 84/5*d + 147/5*d**u = 0. Calculate d.
2/7
Suppose -2*s + 17 = 83. Let m(u) = -7*u**2 + 7*u + 4. Let n(h) = 57*h + 42 - 9 - 19*h**2 - 38*h**2. Let l(o) = s*m(o) + 4*n(o). Let l(t) = 0. Calculate t.
0, 1
Let b(m) = -m**2 - 3*m - 60. Let l be b(0). Let z be 3/(-4) + (-135)/l. Factor 0 - z*q**2 - 1/2*q**3 - q.
-q*(q + 1)*(q + 2)/2
Factor 66*g**2 - 15*g**3 - 726*g + 2662 + 11*g**3 + 2*g**3.
-2*(g - 11)**3
Suppose -98/13 + 126/13*c + 2/13*c**3 - 30/13*c**2 = 0. Calculate c.
1, 7
Let u(v) be the third derivative of 1/945*v**7 - 1/27*v**3 - 8*v**2 + 0*v**5 + 0 + 0*v - 1/54*v**4 + 1/270*v**6. Find m such that u(m) = 0.
-1, 1
Find v such that 283 - 18*v - 96 + 2*v**3 - 6*v**2 - 103 - 94 = 0.
-1, 5
Find h such that -27*h**2 + 555*h**2 + 93*h**3 + 5*h**3 + 18*h**2 + 142*h + 10 - 28*h**2 = 0.
-5, -1/7
Suppose 18*d - 1 = 17*d. Let m(x) = -x**2. Let a(g) = -5*g**3 + 12*g**2 - 15*g + 5. Let y(q) = d*a(q) - 3*m(q). Factor y(o).
-5*(o - 1)**3
Let n(a) = -a**2 + 11*a - 3. Let d be n(5). Let u = d + -25. Factor 6/7*s**3 - 8/7 + 24/7*s - 22/7*s**u.
2*(s - 2)*(s - 1)*(3*s - 2)/7
Let p(a) be the first derivative of -2*a**5/15 + 35*a**4/24 - 23*a**3/18 - 2*a**2/3 - 93. Factor p(w).
-w*(w - 8)*(w - 1)*(4*w + 1)/6
Let y(t) be the second derivative of t**8/2400 + t**7/2800 - t**6/900 - t**3/6 - t + 34. Let c(g) be the second derivative of y(g). Find z, given that c(z) = 0.
-1, 0, 4/7
Determine l so that 1/6*l**3 + 0 + 0*l + 1/3*l**2 = 0.
-2, 0
Suppose q = -z + 4, -5*z + 8*z = -q + 6. Suppose z + 3/2*t**2 + 7/2*t = 0. Calculate t.
-2, -1/3
Find c, given that -2/9*c**4 + 0 - 152/9*c**3 - 298/9*c**2 - 148/9*c = 0.
-74, -1, 0
Let l = -66477/2 + 33252. Solve -3*k**4 - 111/2*k**2 + 99/2*k - l + 45/2*k**3 = 0.
1/2, 1, 3
Let h(i) be the third derivative of i**5/90 - i**4/18 - i**3/3 + 57*i**2. Solve h(k) = 0.
-1, 3
Let l(v) be the second derivative of 31*v - 1/10*v**4 + 1/50*v**5 + 1/5*v**3 + 0 - 1/5*v**2. Factor l(y).
2*(y - 1)**3/5
Let u(m) be the first derivative of -m**4/8 - 5*m**3/6 + 2*m**2 + 24*m + 134. Solve u(c) = 0.
-4, 3
Let g(r) be the second derivative of -r**7/189 - 4*r**6/135 + r**5/45 + 2*r**4/9 - r**3/3 - 3*r - 59. Suppose g(d) = 0. Calculate d.
-3, 0, 1
Let m(v) be the second derivative of v**6/15 + 3*v**5/10 - 16*v**4/3 + 20*v**3 - 32*v**2 + 22*v - 2. Factor m(u).
2*(u - 2)**2*(u - 1)*(u + 8)
Factor -58*g**2 - 29*g**4 + 12*g**4 + 13*g**2 + 16*g**4 - 58*g - 24 - 12*g**3.
-(g + 1)**2*(g + 4)*(g + 6)
Let v(k) be the third derivative of -k**8/2520 - k**7/315 - 7*k**6/900 + k**5/450 + 2*k**4/45 + 4*k**3/45 - 343*k**2 - 2. Let v(i) = 0. What is i?
-2, -1, 1
Let g be 215/20 - (-6)/(6/5). Factor -12*o**2 - 3*o**3 - g*o - 27/4.
-3*(o + 1)*(2*o + 3)**2/4
Let g = 7 - 5. Let h be -8 - (1 - 21 - -10). Suppose g - 20/3*r + h*r**2 = 0. What is r?
1/3, 3
Factor 2/3*j**3 + 40/3 - 6*j**2 - 8*j.
2*(j - 10)*(j - 1)*(j + 2)/3
Let f(d) = -d**2 - 8*d - 11. Let s be f(-5). Suppose 20*c - 5*c + s*c**2 + 48 + 13*c = 0. What is c?
-4, -3
Find p, given that -52*p**2 - 441*p + 25*p**3 + 2 + 445*p - 2 = 0.
0, 2/25, 2
Suppose 2*n - 4 + 7/4*n**2 + 1/4*n**3 = 0. What is n?
-4, 1
Suppose -3*v + 671 = 8*v. Determine a, given that -6 - v*a - 3 + 9*a**2 - 9 + 4 = 0.
-2/9, 7
Let a be 7/(2 + -9)*-1*2/4. Suppose -3/4 - a*v + 1/4*v**2 = 0. Calculate v.
-1, 3
Suppose 213 = 3*l - 2*t - t, -5*t + 365 = 5*l. Let u be 114/l + 2/(-8). Factor 1/3 - u*a**2 + a.
-(a - 1)*(4*a + 1)/3
Let a(n) = 2*n**2 + 12*n - 22. Let g be (3/5)/(6/(-30)). Let x(b) = -12*b + 22 - b**2 + 5 - 6. Let f(s) = g*a(s) - 4*x(s). Solve f(j) = 0.
3
Factor -3*p**2 - 141 + 4*p**2 + 9*p + 155.
(p + 2)*(p + 7)
Let -4*v**2 + 270 + 0*v**2 - 20*v - 290 - v**2 = 0. Calculate v.
-2
Let p(q) be the second derivative of q**7/441 - 4*q**6/105 + 11*q**5/210 - 351*q. Let p(z) = 0. What is z?
0, 1, 11
Let f(p) be the third derivative of -1/1008*p**8 + 1/120*p**6 + 0 + 0*p**3 + 0*p + 1/180*p**5 - 1/36*p**4 + 6*p**2 - 1/630*p**7. What is i in f(i) = 0?
-2, -1, 0, 1
Determine l, given that 44/9*l - 14/3 - 2/9*l**2 = 0.
1, 21
Let x(w) = 2*w**2 - 3*w - 10. Let d be x(4). Let i be 1 - (-3 + 36/d). Factor -2/5*k - 6/5*k**3 - i*k**4 + 0 - 6/5*k**2.
-2*k*(k + 1)**3/5
Let q be ((-5 + (-356)/(-72))*-3)/4. Let v(d) be the first derivative of 1/4*d**2 + 3/2*d - 8 - 5/18*d**3 + q*d**4. Determine k so that v(k) = 0.
-1, 3
Suppose 3*u + 6 - 42 = 0. Factor 2*y**5 - 2*y**5 - 12*y**3 + 3*y**5 - u*y**2 + 3*y**4.
3*y**2*(y - 2)*(y + 1)*(y + 2)
Let s(v) = v**2 - 7*v + 5. Let z be (28/(-4))/((-1)/1). Let m be s(z). Factor -15 - 20*q - 7*q**2 - m*q**2 + 7*q**2.
-5*(q + 1)*(q + 3)
Suppose 3*f = -5*u - 85, 2*f - 2*u = -u - 35. Let t be (15/f)/((-1)/4). Solve 48*l**2 - 4*l**t + 40 - 16*l + 216 - 176*l = 0.
4
Suppose 16*j + 23*j**4 + 0*j**3 - 24*j**3 + 19*j - 5*j**2 - 11*j**3 - 18*j**4 = 0. What is j?
-1, 0, 1, 7
Let v = -46 - -28. Let n be 4/84 + v/(-63). Factor -n - 1/3*r**2 + 2/3*r.
-(r - 1)**2/3
Let y(j) be the first derivative of j**5/20 + 3*j**4/8 - 11*j**3/12 - 15*j**2/2 + 25*j + 16. What is d in y(d) = 0?
-5, 2
Suppose 3*p = 12, 3*p = 5*b + 7*p - 271. Let v = b + -1