e of 11*x**2/2 + 7*x - 10. Let i be q(7). Determine r, given that 2*r**4 + i*r**3 - 82*r**3 - 3*r**4 - 2*r - 5*r**4 + 6*r**2 = 0.
-1, 0, 1/3, 1
Let r(t) = 2*t. Let i be r(4). Suppose 19 = -i*z + 51. Find v, given that 4*v**2 - 16*v**3 + 250*v + z*v**2 - 251*v = 0.
0, 1/4
Let l(m) = -m + 9. Let b be l(3). Find k such that -k**5 - 7*k - b*k**2 + 7*k + 6*k**4 + 3*k - 2*k**5 = 0.
-1, 0, 1
Let i(y) be the first derivative of y**6/270 - 2*y**5/45 + y**4/6 - 8*y**3/27 - 17*y**2 - 13. Let s(h) be the second derivative of i(h). What is b in s(b) = 0?
1, 4
Let d(f) be the first derivative of -15*f**4/4 - 5*f**3 + 15*f**2/2 + 15*f + 6. Let a(v) = -v**3 - v**2 + v + 1. Let g(s) = 33*a(s) - 2*d(s). Solve g(o) = 0.
-1, 1
Let h(t) be the third derivative of -t**8/336 - 5*t**7/42 - 107*t**6/60 - 164*t**5/15 - 16*t**4/3 + 512*t**3/3 - 12*t**2 + 6. Find x such that h(x) = 0.
-8, -2, 1
Let -10/9*b**4 + 16/9*b**3 + 2/9*b**5 + 0*b - 8/9*b**2 + 0 = 0. What is b?
0, 1, 2
Let o(y) be the third derivative of 0 + 3/22*y**3 + 0*y + 1/660*y**5 + 1/44*y**4 + 6*y**2. Factor o(w).
(w + 3)**2/11
Let l(v) be the third derivative of -v**8/112 + 4*v**7/105 - v**6/30 + 205*v**2. Factor l(u).
-u**3*(u - 2)*(3*u - 2)
Determine u, given that -5/2 - 3*u - 1/2*u**2 = 0.
-5, -1
Let l(i) = -i**3 - i**2 + i + 1. Let h = -30 + 27. Let t(p) = -4*p**3 + p**2 - p + 3. Let m(b) = h*l(b) + t(b). Solve m(s) = 0.
0, 2
Let g(h) = h**3 - 3*h + 4. Let i be g(2). Let p(j) be the first derivative of -1/4*j**i + 0*j**2 - 3/10*j**5 + 3/8*j**4 + 1/2*j**3 + 0*j + 1. Factor p(f).
-3*f**2*(f - 1)*(f + 1)**2/2
Let s be 4515/(-147) + (1 - (-9)/(-7)). Let p be (s/(-124))/((-5)/(-16)). Factor 2/5*a**2 - p*a + 2/5.
2*(a - 1)**2/5
Let j be -1*((-60)/(-20))/(-6). Factor 0*d - j*d**2 + 2.
-(d - 2)*(d + 2)/2
Let y = -78 + 78. Let g be (144/(-189))/(y + (-1)/6). Factor -16/7*q + g + 2/7*q**2.
2*(q - 4)**2/7
Let b be 9/(143/22 + -5). Let u(m) be the third derivative of 0*m**3 + 1/210*m**7 + 0 - 1/24*m**4 + 1/20*m**5 - 13*m**2 + 0*m - 1/40*m**b. Factor u(p).
p*(p - 1)**3
Let g = 28 - 26. Suppose -4*u + 2*u + 2*u**g - u - u - 6 = 0. What is u?
-1, 3
Let j(o) be the first derivative of o**4/14 - 4*o**3/7 - 36*o**2/7 - 80*o/7 - 57. Factor j(f).
2*(f - 10)*(f + 2)**2/7
Let i(w) be the first derivative of w**3/6 - 15*w**2 + 450*w - 139. Solve i(p) = 0 for p.
30
Let o(k) be the second derivative of k**4/15 + 188*k**3/15 + 186*k**2/5 - 2*k + 235. Let o(c) = 0. Calculate c.
-93, -1
Let j(n) = -12*n**2 + 21*n + 17. Let z(y) = y**2 - 2*y - 1. Let v(b) = -2*j(b) - 22*z(b). Let v(g) = 0. What is g?
-3, 2
Factor -20 - 3*o**3 - o**3 - o**3 - 60*o + 60*o + 15*o**2.
-5*(o - 2)**2*(o + 1)
Let p be ((-3)/21)/(138/24 - 6). Suppose -6/7*w - 2/7*w**2 - p = 0. Calculate w.
-2, -1
Let z(l) = l**2 - 2*l - 3. Let t be z(4). Factor -9*c**2 - 8 + 39*c - t*c + c**2.
-2*(c - 4)*(4*c - 1)
Let h(u) be the third derivative of -u**5/360 - 5*u**4/144 + u**3/6 - 15*u**2. Suppose h(s) = 0. What is s?
-6, 1
Let v(a) be the third derivative of a**7/210 - a**6/20 - a**5/20 + 2*a**4/3 + 2*a**3 + 92*a**2. Let v(o) = 0. Calculate o.
-1, 2, 6
Let f be ((-12)/(-21))/(680/700). Let f*q**2 - 4/17 - 6/17*q = 0. Calculate q.
-2/5, 1
Let n be (520/(-6))/(-20) + (-2)/6. Let m(x) be the second derivative of -1/3*x**3 + 7/12*x**n + 0 - 10*x + 0*x**2 + 9/20*x**5. Factor m(y).
y*(y + 1)*(9*y - 2)
Let p be (-7 + 1 + 10)*3/9. Let d(z) be the first derivative of z**2 + 2/9*z**3 + p*z + 6. Solve d(c) = 0 for c.
-2, -1
What is h in 0 + 2/3*h**2 + 22/3*h = 0?
-11, 0
Let o(f) = -51*f**3 - 211*f**2 + 129*f + 169. Let g(c) = 13*c**3 + 53*c**2 - 32*c - 42. Let s(d) = -9*g(d) - 2*o(d). Suppose s(u) = 0. What is u?
-4, -2/3, 1
Let k(y) be the third derivative of 1/21*y**4 + 0*y - 17*y**2 + 0 + 1/210*y**5 - 5/21*y**3. Factor k(s).
2*(s - 1)*(s + 5)/7
Find i, given that 3/2*i**4 + 1/2*i**5 - 23/2*i**3 + 12 - 27/2*i**2 + 11*i = 0.
-6, -1, 1, 4
Let r = -23 + 29. Factor 14*k**3 - 2*k**5 - 16*k**3 - 22*k**3 + 20*k**2 - r*k + 12*k**4.
-2*k*(k - 3)*(k - 1)**3
Let g = 4949 - 4949. Solve 0 + 1/3*y**3 + g*y + 0*y**2 - 1/3*y**4 = 0.
0, 1
Suppose 3*c + 4*s - 404 = 0, -5*c - s = -226 - 419. Suppose o + 0*o - c = 0. Determine q, given that 123*q**2 - 4 + q**3 + 13*q - o*q**2 - 5*q = 0.
1, 2
Let x(o) be the second derivative of -o**5/25 + 4*o**4/15 + 2*o**3/3 - 2*o - 10. Determine s, given that x(s) = 0.
-1, 0, 5
Let l be 1/(-22 - 2)*(-468)/104. Let q(b) be the first derivative of l*b**4 - 10 - 1/4*b**3 - 3/8*b**2 + 3/4*b. Factor q(d).
3*(d - 1)**2*(d + 1)/4
Let z = -97 - -101. Suppose 4*y + 10 = 5*i, i - 5*y + z = 6. Factor 3/7*j + 2/7 + 1/7*j**i.
(j + 1)*(j + 2)/7
Let h be 34/((4 + -3)*-2). Let f = 19 + h. Factor -15*y + 2*y - 18 + y - 2*y**f.
-2*(y + 3)**2
Let d = 17/33 + -1/66. Let l(k) be the first derivative of 9/2*k**4 + 33/2*k**2 - 14*k**3 - 1 + 3/5*k**5 - 9*k - d*k**6. Find h, given that l(h) = 0.
-3, 1
Let d(k) be the third derivative of -k**8/1512 + k**6/54 + 2*k**5/27 + 5*k**4/36 + 4*k**3/27 + 316*k**2 + k. Let d(p) = 0. Calculate p.
-1, 4
Let k(a) = a**2 + 6*a - 3. Let c be k(-7). Suppose -3*v - 5*o + 2 = -5*v, -c*v + 2*o = -12. Suppose -2/3 - r + 1/3*r**2 + 1/3*r**v + r**3 = 0. What is r?
-2, -1, 1
Let f(m) be the third derivative of m**6/72 - 11*m**5/36 - 5*m**4/6 - 36*m**2 - 3. Factor f(n).
5*n*(n - 12)*(n + 1)/3
Let n(t) be the third derivative of t**5/105 + 41*t**4/21 + 572*t**2. Factor n(z).
4*z*(z + 82)/7
Let i be (-3 + 1)/((-144)/(-344)) - -5. What is h in 2/9*h + 2/9*h**4 - 2/9*h**2 + 0 - i*h**3 = 0?
-1, 0, 1
Let v(s) be the second derivative of -s**4/12 + s**3 + 7*s**2/2 - 39*s. What is u in v(u) = 0?
-1, 7
Find d such that 1/4*d**2 + 15/4 + 4*d = 0.
-15, -1
Let s(g) be the third derivative of -1/98*g**7 - 1/112*g**8 - 1/28*g**4 + 9/280*g**6 + 0 + 0*g + 0*g**3 + 1/28*g**5 + 2*g**2. Solve s(y) = 0 for y.
-1, 0, 2/7, 1
Find l, given that -5 - 39*l**2 + 54 - 12*l**3 - 19 + 111*l = 0.
-5, -1/4, 2
Suppose 10 = 4*d - c, -5*c = 4*d + 32 - 30. Solve 26/11*l + 72/11*l**3 - 96/11*l**d - 2/11 = 0 for l.
1/6, 1
Let r(t) be the third derivative of -t**7/735 + t**6/105 - 2*t**5/105 + 3*t**2 - t. Factor r(m).
-2*m**2*(m - 2)**2/7
Factor -6*w**3 - 3*w**3 + 12*w**2 - 45*w**4 - 2*w + 11*w + 33*w**4.
-3*w*(w - 1)*(w + 1)*(4*w + 3)
Let o(j) be the first derivative of 3*j**5/5 + 12*j**4 - 35*j**3 + 27*j**2 - 321. Factor o(l).
3*l*(l - 1)**2*(l + 18)
Let q(y) be the second derivative of 25*y + 245*y**3 + 42*y**4 + 1029/2*y**2 + 0 + 33/10*y**5 + 1/10*y**6. What is h in q(h) = 0?
-7, -1
Let g(y) = 2*y**2 + 24*y + 77. Let c be g(-6). Determine d so that -1/2*d**2 - 1/4*d**c - 1/4*d + 1/2*d**3 + 1/4*d**4 + 1/4 = 0.
-1, 1
Let a(c) = -c**2 + c. Let w(v) = 8*v**2 + 14*v - 112. Let r(l) = -6*a(l) - w(l). Determine d so that r(d) = 0.
-14, 4
Suppose 17 = 5*v + t, 2*t = -779*v + 777*v + 2. Factor -1/8*c**3 + 1/8*c - 1/8*c**v - 1/4 + 3/8*c**2.
-(c - 1)**2*(c + 1)*(c + 2)/8
Factor -4/5 - 2/5*i + 6/5*i**2.
2*(i - 1)*(3*i + 2)/5
Let t = -3203/4 + 801. Let k(c) be the first derivative of 1/4*c**2 + 2 - c**3 + 1/2*c**5 + 1/2*c - 1/4*c**6 + t*c**4. Find q such that k(q) = 0.
-1, -1/3, 1
Let m(y) be the first derivative of -y**3/3 + y**2/2 + y + 10. Let w(d) = d**4 - d**3 + 3*d**2 - 3*d - 4. Let g(j) = 4*m(j) + w(j). Factor g(z).
z*(z - 1)**2*(z + 1)
Let o(w) be the first derivative of 5*w**3/6 - 75*w**2/4 + 35*w + 396. Solve o(i) = 0 for i.
1, 14
Let p(c) be the third derivative of -2*c**2 + 0 + 5/6*c**3 + 0*c + 0*c**4 - 1/12*c**5. Factor p(b).
-5*(b - 1)*(b + 1)
Let b(y) = -7*y - 168. Let j be b(-24). Let n(m) be the second derivative of j + 1/4*m**5 + 0*m**2 + 6*m + 0*m**3 + 1/6*m**4. Factor n(u).
u**2*(5*u + 2)
Let s(z) be the first derivative of -z**5/25 + 3*z**4/20 + z**3/5 - 7*z**2/10 - 6*z/5 + 10. Factor s(p).
-(p - 3)*(p - 2)*(p + 1)**2/5
Let v(h) be the third derivative of h**8/1400 - h**6/50 + 2*h**5/25 - 3*h**4/20 + 2*h**3/3 + 21*h**2. Let s(w) be the first derivative of v(w). Factor s(b).
6*(b - 1)**3*(b + 3)/5
Suppose 17*m - 28 = 15*m. Suppose -3*c - m = -l, c + 5 + 7 = 4*l. Factor 4*t**4 - 2*t**5 - l*t**2 - 2*t**3 + 0*t**4 + 4*t**3 - 2*t**4.
-2*t**2*(t - 1)**2*(t + 1)
Suppose 0 = s - 2*s - 2*j - 8, s = 5*j + 27. Factor -4*m**3 + 6*m + 7*m**2 - 4 - 3*m**s - 2*m.
-4*(m - 1)**2*(m + 1)
Let a(o) be