x(r) be the third derivative of -r**7/245 - r**6/105 - r**5/210 - 2*r**2 + 35. Find f, given that x(f) = 0.
-1, -1/3, 0
Let j(v) be the third derivative of 7*v**5/570 - 11*v**4/114 - 8*v**3/19 - 310*v**2. Factor j(p).
2*(p - 4)*(7*p + 6)/19
Let h(c) = 4*c + 44. Let b be h(-7). Let y = 8 - 6. Find l such that b*l - 12*l - 6*l**2 + y*l**2 = 0.
0, 1
Let c = 34 - 24. Suppose -o - 4*l = 2*o - c, -4*o - l = -9. Factor 11*s**2 + 10*s**o - 3 - 3*s**5 - 6*s**3 + 9*s**4 - 27*s**2 + 9*s.
-3*(s - 1)**4*(s + 1)
Let d(b) = -8*b**2 - 3*b**4 + 3*b**2 - 11*b - 6*b**3 + 14*b. Let w(g) = 2*g**4 + 3*g**3 + 3*g**2 - g. Let j(a) = 3*d(a) + 5*w(a). Find z such that j(z) = 0.
-1, 0, 2
Suppose -3*u + 6*u = -3*v + 66, -4*u + 109 = 5*v. Suppose -9 + v = 4*c. Factor 2/3*s + 11/3*s**2 + 17/3*s**4 + 7*s**c + 0 + 5/3*s**5.
s*(s + 1)**3*(5*s + 2)/3
Let z(c) be the first derivative of -1/5*c**5 + 8 + 0*c - c**2 + 1/2*c**4 + 1/3*c**3. Find h such that z(h) = 0.
-1, 0, 1, 2
Factor -6*y**3 + 75 + 306*y**2 - 603/2*y.
-3*(y - 50)*(2*y - 1)**2/2
Suppose -29 = 184*s - 29. Let l = -34 + 60. Determine b so that -l*b**2 + 4*b + 33*b**3 - 49/2*b**5 + 77/2*b**4 + s = 0.
-1, 0, 2/7, 2
Let z = -11741 + 129171/11. Solve 2/11*p**2 + z*p + 50/11 = 0 for p.
-5
Determine k, given that 486478*k + 2*k**5 + 72*k**3 - 26*k**4 - 486478*k = 0.
0, 4, 9
Suppose -2*f = -22*f + 60. Let t be (2 - 7)*f/(-5). Determine h so that 3/4*h**5 - 3/2*h**t + 0*h**2 + 0 + 0*h**4 + 3/4*h = 0.
-1, 0, 1
Let j = -32 + 35. Let q be ((-1)/(-39))/((-2)/(-12)). Let -2/13*u**j + 2/13 + 2/13*u - q*u**2 = 0. What is u?
-1, 1
Let c(d) be the second derivative of -1/14*d**4 - 9/140*d**5 + 2 + 19*d - 12/7*d**2 + 1/70*d**6 + 6/7*d**3. Factor c(t).
3*(t - 2)**2*(t - 1)*(t + 2)/7
Let t(k) be the second derivative of 16/9*k**3 + 10*k - 4/9*k**4 + 2 + 1/30*k**5 + 0*k**2. Let t(c) = 0. Calculate c.
0, 4
Factor 1/5*r**2 - 2*r + 5.
(r - 5)**2/5
Let g(i) be the first derivative of -2*i - 1/6*i**3 - 9 + i**2. Factor g(t).
-(t - 2)**2/2
Let s(l) = -14*l**4 + 74*l**3 - 82*l**2 + 14*l - 2. Let c(k) = 41*k**4 - 225*k**3 + 247*k**2 - 41*k + 7. Let t(f) = 2*c(f) + 7*s(f). What is v in t(v) = 0?
0, 1/4, 2
Let z be ((-4)/(-50))/((-11)/(-110)). Let i(w) be the first derivative of -8 + 1/5*w**4 + 0*w + 4/5*w**2 + z*w**3. Factor i(j).
4*j*(j + 1)*(j + 2)/5
Suppose 4*a + 225 = 79*a. Let 2/7*c**2 + 4/7*c**5 + 4/7*c + 0 - 12/7*c**a + 2/7*c**4 = 0. Calculate c.
-2, -1/2, 0, 1
Let l(r) be the second derivative of -r**4/6 - 10*r**3/3 + 24*r**2 + 3*r + 3. What is f in l(f) = 0?
-12, 2
Find j, given that 2*j**3 + 60*j + 210*j + 162*j + 1944 - 28*j**2 - 38*j**2 = 0.
-3, 18
Let w(r) = r**3 + r**2 + 4*r - 3. Let c be w(3). Factor -c*j**4 + 16*j**2 + 19*j**4 + 22*j**4 + 4*j**3 - 16*j.
-4*j*(j - 2)*(j - 1)*(j + 2)
Let v(y) be the third derivative of y**6/180 - 11*y**5/45 + 161*y**4/36 - 392*y**3/9 + 5*y**2 + 4*y. Determine p so that v(p) = 0.
7, 8
Suppose -1241*l**5 - 11*l + 2478*l**5 + 13*l - 17*l**3 + 16*l - 11*l**4 + 11*l**2 - 1238*l**5 = 0. What is l?
-9, -2, -1, 0, 1
Let s = 10 - 10. Suppose s = n - 2*n + 2. Let o**n + 3*o**2 - 2*o**3 + o**2 - 3*o**2 = 0. What is o?
0, 1
Let l(o) = o**2 + o + 1. Let m(t) = 4*t + 73. Let k be m(-19). Let s(h) = -2*h**2 - 29*h - 197. Let c(j) = k*l(j) - 3*s(j). Factor c(q).
3*(q + 14)**2
Let o = -63 - -87. Suppose 21 - o*j - 2*j**4 - 26*j**2 + 18 - 47 - 12*j**3 = 0. What is j?
-2, -1
Determine j, given that 43*j - 34*j - 37*j**2 - 43*j**2 - 4*j**3 - 153*j = 0.
-18, -2, 0
Let o = 13 - 7. Let s be 1*-1*0/1. Let -9*n**3 + 0*n - 9*n**2 + s*n - o*n + 6*n**3 = 0. Calculate n.
-2, -1, 0
Determine a so that 10*a**3 - a**4 + 22*a - 26*a - 7*a**3 = 0.
-1, 0, 2
Let d(t) be the first derivative of t**5/20 + t**4/2 + 2*t**3 + 4*t**2 - 2*t + 11. Let p(y) be the first derivative of d(y). Factor p(k).
(k + 2)**3
Let z(a) be the third derivative of -a**6/1440 + a**5/240 - a**4/96 - 11*a**3/3 + 3*a**2. Let d(x) be the first derivative of z(x). Factor d(i).
-(i - 1)**2/4
Let i = -53459/60 + 891. Let q(g) be the second derivative of 0*g**2 + 1/30*g**3 + i*g**4 + 0 + 3*g. Factor q(j).
j*(j + 1)/5
Let j = -12 - -8. Let h(c) = -2*c**2 - 9*c - 1. Let i be h(j). Find k such that -k + 3*k**4 - i + 0*k - 10*k**3 + 11*k = 0.
-1, 1/3, 1, 3
Suppose 0 = 4*f - 7*t + 34, -4*f + 25*t - 26*t + 14 = 0. Solve 4/9*r**f - 4/9*r + 0 = 0.
0, 1
Let u(q) be the third derivative of 1/8*q**4 + 0*q**5 - 1/40*q**6 + 0*q**3 + 8 - 2*q**2 + 0*q. Solve u(h) = 0 for h.
-1, 0, 1
Factor 1 - 5/6*u + 1/6*u**2.
(u - 3)*(u - 2)/6
Let g(i) be the first derivative of 5*i**2 - 1/3*i**3 + 4*i - 5/8*i**4 - 28. What is k in g(k) = 0?
-2, -2/5, 2
Let k(h) be the first derivative of -h**4/12 - h**3/3 - h**2/3 + 79. Find g, given that k(g) = 0.
-2, -1, 0
Suppose 1 = -5*q + 11. Let g be 5/q*12/15. Factor 1 - 3*y - 3*y**2 + 4*y - 4*y**3 + 3*y**3 + 2*y**g.
-(y - 1)*(y + 1)**2
Let a(k) be the third derivative of -k**8/420 + 8*k**7/525 - k**6/50 - 4*k**5/75 + 2*k**4/15 - 261*k**2. Find r, given that a(r) = 0.
-1, 0, 1, 2
Let t(f) = f - 43. Let v be t(47). Suppose -1/8*a**v + 1/8*a**2 + 0 + 1/8*a**3 - 1/8*a = 0. Calculate a.
-1, 0, 1
Let -40/7 - 36/7*n**2 + 2/7*n**3 - 78/7*n = 0. Calculate n.
-1, 20
Suppose -3*y + 80 + 139 = -j, 0 = 4*y + 4*j - 276. Let i = y - 70. Solve 0 + 0*s - 2/3*s**i = 0.
0
Suppose 4/3*p**3 + 0 - 28/3*p**2 + 0*p = 0. What is p?
0, 7
Let y(s) be the third derivative of 0*s + 14*s**2 + 0 + 0*s**4 - 1/1260*s**7 - 1/180*s**5 + 1/240*s**6 + 0*s**3. Factor y(i).
-i**2*(i - 2)*(i - 1)/6
What is y in 13/2*y**3 - 5/2*y**2 - 9/2*y**5 + 5/2*y**4 + 0 - 2*y = 0?
-1, -4/9, 0, 1
Let r be (40/(-15) - -3) + (21 - 18). Determine p so that p**2 + 1 + r*p = 0.
-3, -1/3
Let k = -60 - -68. Suppose -2*l = -3*l + 2*m - k, 2*l - m + 1 = 0. Factor -3/2*y**3 + 0 - 3/2*y**5 + 0*y**l + 0*y + 3*y**4.
-3*y**3*(y - 1)**2/2
Let p be 6*(-90)/18*(-2)/18. Let -4 - 2/3*g**3 + 4/3*g**2 + p*g = 0. What is g?
-2, 1, 3
Find n such that 26/3*n - 2/3 - 20*n**2 = 0.
1/10, 1/3
Let s = -15346 - -15350. Determine j, given that 2*j**2 + 1/5*j**3 + 1/5*j**5 - 4/5*j - 4/5*j**s - 8/5 = 0.
-1, 2
Factor -35/2*q - 5/2*q**2 + 110.
-5*(q - 4)*(q + 11)/2
Let f(p) be the third derivative of 5/24*p**3 - 1/56*p**7 + 1/24*p**5 - 2*p**2 - 1/48*p**6 + 0 - 5/1344*p**8 + 0*p + 5/32*p**4. Factor f(l).
-5*(l - 1)*(l + 1)**4/4
Let a(t) = -10*t**3 + 4*t**2 + 40*t + 50. Let k(y) = -11*y**3 + 4*y**2 + 40*y + 53. Let g(n) = 7*a(n) - 6*k(n). Find l, given that g(l) = 0.
-2, -1, 4
Factor 16/3 + 4*a**2 + 32/3*a.
4*(a + 2)*(3*a + 2)/3
Let c(k) be the second derivative of k**6/720 - k**5/120 - 41*k**3/6 - 34*k. Let f(s) be the second derivative of c(s). Factor f(h).
h*(h - 2)/2
Find z, given that 108 + 3*z**4 - 238741*z**3 - 29*z + 39*z**2 - 151*z + 238771*z**3 = 0.
-6, 1
Let l(m) be the third derivative of -3*m**6/10 + 11*m**5/5 - 20*m**4/3 + 32*m**3/3 + 93*m**2. Let l(h) = 0. Calculate h.
1, 4/3
Let k(y) = -y**5 - y**3 + y**2 - y - 1. Let i(m) = -15*m**5 + 14*m**4 + 31*m**3 - 51*m**2 + 11*m - 5. Let x(g) = -i(g) + 5*k(g). Solve x(o) = 0.
-2, 0, 2/5, 1, 2
Let f(t) be the second derivative of t**4/24 - t**3/6 - 3*t**2/4 - 23*t. Suppose f(s) = 0. Calculate s.
-1, 3
Let i = 356 - 1107. Let w = i - -12771/17. Factor -2/17*z - w + 2/17*z**2.
2*(z - 2)*(z + 1)/17
Let d(u) be the second derivative of 0*u**4 - 1/12*u**6 + 1/8*u**5 + 0*u**2 - 5*u + 0*u**3 + 0. Let d(v) = 0. What is v?
0, 1
Let t(v) be the first derivative of v**6/3 - 16*v**5/5 + 8*v**4 + 32*v**3/3 - 80*v**2 + 128*v - 3. Factor t(m).
2*(m - 4)*(m - 2)**3*(m + 2)
Factor -3*l**4 - 57*l - l**4 - 39*l + 90*l**2 + 6*l**4 - 24*l**3 + 33 - 5*l**4.
-3*(l - 1)**3*(l + 11)
Let f be 107/7 - 8/28. Suppose 0 = l, -4*l = 5*t - 2*l - f. Suppose -3*n**t - 3*n + 4*n**3 + 2*n = 0. What is n?
-1, 0, 1
Suppose -5*s + 27 = -13. Suppose -8*t + s = -4*t. Factor t*n**4 + 2*n + 4*n**2 - 10*n**2 + 2*n.
2*n*(n - 1)**2*(n + 2)
Let s(g) be the first derivative of -16/3*g**3 + 0*g**4 + 0*g**2 + 0*g + 8 + 4/5*g**5. What is q in s(q) = 0?
-2, 0, 2
Let o(h) be the third derivative of 0*h**3 + 0 + 1/140*h**6 + 0*h**4 - 1/490*h**7 - 6*h**2 + 0*h + 0*h**5. Suppose o(r) = 0. What is r?
0, 2
Suppose -l + 5*z + 12 = 0, -5*l + 2*z - 28 = -42. Determine q so that -2/7*q**l + 8/7*q + 0 = 0.
0, 4
Let l be (-3 - (3 - 1))*(-4)/10. D