*u - 9*d**4 + 14*d**3 - 2*d - 16*d**2 = 0.
0, 2/3, 1
Let h(u) be the third derivative of -u**9/80640 - u**8/8960 - u**7/2240 - u**6/960 + 13*u**5/60 - 7*u**2. Let p(v) be the third derivative of h(v). Factor p(j).
-3*(j + 1)**3/4
Suppose 2*z - 4*z + 6 = 0. Let p be ((-45)/(-165))/((-11)/(-66)). Factor -42/11*o**4 - 20/11*o**z + 6/11*o + 12/11*o**2 - 2/11 - p*o**5.
-2*(o + 1)**3*(3*o - 1)**2/11
Suppose 0 = 5*a + 314 - 359. Let s(p) be the first derivative of 0*p**2 - 9/8*p**4 + a + 3/8*p - 13/8*p**3. Let s(z) = 0. Calculate z.
-1, -1/3, 1/4
What is l in 9 + 21*l + 7*l**2 - 2*l**2 + l**2 = 0?
-3, -1/2
Suppose -m - 2 = 1. Let s(t) = -t**3 - 3*t**2 - t + 3. Let y be s(m). Find k, given that 5*k**4 + 0*k**3 + 0*k**3 + k**5 - y*k**4 = 0.
0, 1
Let d be (-11 - (-110)/10)/(-1). Let c(y) be the third derivative of -1/540*y**6 + 0 + d*y**3 + 13*y**2 + 0*y + 0*y**5 + 1/108*y**4. Find l such that c(l) = 0.
-1, 0, 1
Let r(u) be the second derivative of u**5/20 + 47*u**4/12 + 88*u**3 - 288*u**2 - 33*u. Factor r(f).
(f - 1)*(f + 24)**2
Let y be 29/((-2 + 1 + 0)/(-13)). Suppose -y = -i - 375. Factor 4/3 - 2/3*k**4 - 10/3*k + 2/3*k**3 + i*k**2.
-2*(k - 1)**3*(k + 2)/3
Let f(h) = -3*h + 5. Let z be f(0). Let s(v) be the second derivative of -1/105*v**6 + 0 + 0*v**3 - 1/147*v**7 + 0*v**4 + 0*v**z + 0*v**2 - 4*v. Factor s(p).
-2*p**4*(p + 1)/7
Let s(b) be the second derivative of -5*b**4/36 + 505*b**3/9 - 51005*b**2/6 + 360*b. Solve s(v) = 0.
101
Let s(c) = c**2 - 4*c + 9. Let h be s(3). Let i be 1*(h/15 + (-6)/(-10)). Find d, given that 1/2*d - 1/2*d**2 + i = 0.
-1, 2
Let c(p) be the first derivative of 0*p + 2*p**2 + 23/4*p**4 + 158/5*p**5 - 14 - 32/3*p**3 + 33/2*p**6. What is l in c(l) = 0?
-1, 0, 2/11, 2/9
What is r in -117/7 - 3/7*r**2 + 120/7*r = 0?
1, 39
Let n = 111/91 - 1039/1001. Let 580/11*x**2 + 250/11 + n*x**5 + 212/11*x**3 + 650/11*x + 34/11*x**4 = 0. Calculate x.
-5, -1
Let b be (-172)/(-129) - (-39)/18. Factor -1/2*p**4 - b*p - 5/2*p**3 - 1 - 9/2*p**2.
-(p + 1)**3*(p + 2)/2
Let h(q) be the first derivative of q**6/40 + q**5/20 - 3*q**2/2 - 31. Let a(r) be the second derivative of h(r). Determine j so that a(j) = 0.
-1, 0
Let f be 0/(-319) - (-1 + -3)/1. Let x(v) be the second derivative of 0 + 1/42*v**7 + 0*v**f - 5*v + 0*v**6 + 0*v**3 - 1/20*v**5 + 0*v**2. Solve x(i) = 0.
-1, 0, 1
Let -485*b**3 + 8163*b**2 - 4*b**4 + 16*b**4 - 2173*b - 676 + 1549*b - 140*b**3 = 0. What is b?
-1/4, 1/3, 26
Suppose 5*u + f - 9 = 0, -f = 54*u - 57*u + 7. Let y = 2 + -2. Find m, given that 0*m**4 + 1/5*m**5 + y*m**u + 0*m**3 + 0 + 0*m = 0.
0
Let r(i) be the second derivative of 0 - 19*i + i**3 + 1/4*i**4 + 2*i**2 + 1/40*i**5. Factor r(o).
(o + 2)**3/2
Suppose -3*y = -144*c + 140*c - 24, 4*y = -c - 6. Find r, given that -1/4*r - 1/2*r**3 - 3/4*r**2 + y = 0.
-1, -1/2, 0
Suppose 77*k - 30 = 72*k. Let r(b) = 5*b**3 - 8*b**2 - 3*b. Let f(j) = 6*j**3 - 9*j**2 - 4*j. Let y(a) = k*f(a) - 7*r(a). Factor y(m).
m*(m - 1)*(m + 3)
Let s(y) be the second derivative of -y**4/12 + 4*y. Let w(b) = 3 + 10*b**2 - 7*b - 8*b + 0*b**2. Let h(l) = 2*s(l) - w(l). What is t in h(t) = 0?
1/4, 1
Suppose -33/4*j + 3/4*j**4 - 3/4*j**3 - 27/4*j**2 - 3 = 0. What is j?
-1, 4
Factor 6*o**3 + 5*o**2 - 3*o**4 - 3*o - 3*o**5 + 45119 - 45122 + o**2.
-3*(o - 1)**2*(o + 1)**3
Let g = 38293/35 + -1094. Let n = 109/455 - g. Solve 2/13*d**2 - 4/13*d + n = 0.
1
Let r(g) be the second derivative of -g**6/6 - g**5/2 + 5*g**3/3 + 5*g**2/2 - 4*g + 3. Factor r(b).
-5*(b - 1)*(b + 1)**3
Let x(a) be the second derivative of a**8/5040 - a**7/2520 - 5*a**3/3 - 4*a. Let s(v) be the second derivative of x(v). Factor s(p).
p**3*(p - 1)/3
Suppose -7 + 19 = j - y, 4*j + y - 53 = 0. Suppose -j*l - 2 = -14*l. Factor -4 + 3*m - 2*m - 9*m - 4*m**l.
-4*(m + 1)**2
Let f(p) be the first derivative of -p**4/6 - 28*p**3/9 - 3*p**2 + 216*p + 534. Suppose f(a) = 0. Calculate a.
-9, 4
Let z(q) = 20*q**2 - 90*q + 5. Let k(b) = 31*b**2 - 135*b + 8. Let i(y) = -5*k(y) + 8*z(y). Factor i(p).
5*p*(p - 9)
Let n = 22897/2 - 11432. Factor -n*k + 9 - 9/2*k**3 - 30*k**2.
-3*(k + 1)*(k + 6)*(3*k - 1)/2
Factor 132 - 29*a**2 + 136*a - 7*a + 9*a**3 - 5*a**2 - 233*a**2 - 3*a**3.
3*(a - 44)*(a - 1)*(2*a + 1)
Let s be 14/(4/(-10)*-1). Let r be s/5 - 2/2. Factor -3*a + r - 7*a**2 - 19*a**3 + a**2 + 22*a**3.
3*(a - 2)*(a - 1)*(a + 1)
Let y(v) be the third derivative of -v**7/840 + 7*v**6/360 - v**5/8 + 3*v**4/8 - 13*v**3/3 + 16*v**2. Let q(g) be the first derivative of y(g). Factor q(t).
-(t - 3)**2*(t - 1)
Suppose 2*f - 2*f = 5*f. Let m be -3*1/24*-2. Solve m*u**2 + 1/4*u + f = 0 for u.
-1, 0
Let h be (-54)/(-15) + (-6 - (-7)/(280/256)). Let t be ((-4)/(-6))/((-2)/(-6)). Factor 4/3*v**3 + 0*v**t - 2/3*v**h - 4/3*v + 2/3.
-2*(v - 1)**3*(v + 1)/3
Find a, given that 54/7*a**5 - 388/21*a**3 + 152/21*a**2 + 30/7*a**4 + 0 - 16/21*a = 0.
-2, 0, 2/9, 1
Let i(r) be the second derivative of -r**8/16800 - r**7/18900 + 4*r**4/3 - 16*r. Let p(c) be the third derivative of i(c). Let p(s) = 0. What is s?
-1/3, 0
Solve -81*r**2 + 3*r**4 - 121*r - 53*r - 4*r**4 - 2*r**4 + 51*r**3 + 39*r**3 = 0.
-1, 0, 2, 29
Let b be 2/(4*-3) - (-65)/30. Factor -2*a - b*a**3 - 2*a + 6*a + 0*a.
-2*a*(a - 1)*(a + 1)
Let d(i) be the first derivative of -2*i**5/25 - i**4/2 - 4*i**3/15 + 8*i**2/5 - 267. Factor d(s).
-2*s*(s - 1)*(s + 2)*(s + 4)/5
Let s(d) be the first derivative of -d**8/3360 - d**7/420 - d**6/144 - d**5/120 + 13*d**3/3 - 4. Let y(g) be the third derivative of s(g). Factor y(o).
-o*(o + 1)**2*(o + 2)/2
Let s be (-4)/26 - (-7 + (-10850)/1638*-1). Factor 22/9*f + s*f**3 - 4/3*f**2 - 4/3.
2*(f - 3)*(f - 2)*(f - 1)/9
Suppose -5*u = -246 + 231. Factor 6/11*a**2 - 4/11*a + 0 - 2/11*a**u.
-2*a*(a - 2)*(a - 1)/11
Let m = 666 - 666. Let u(x) be the second derivative of 3/20*x**5 + 0*x**2 - x + m + 1/4*x**4 + 0*x**3. Find l, given that u(l) = 0.
-1, 0
Let o(i) be the third derivative of -1/4*i**3 + 0 - 8*i**2 + 0*i - 7/32*i**4 + 1/40*i**5 + 7/160*i**6. Factor o(s).
3*(s - 1)*(s + 1)*(7*s + 2)/4
Let b(p) be the third derivative of -25*p**8/112 + 2*p**7/3 + 5*p**6/24 - p**5/6 - 225*p**2. Determine x, given that b(x) = 0.
-1/3, 0, 1/5, 2
Let d(z) be the first derivative of 2*z**3/27 + 10*z**2/9 - 26*z/3 + 32. Factor d(s).
2*(s - 3)*(s + 13)/9
Let c be (2/4)/((-5)/(-170)). Suppose -2*h + c = 9. Find v such that 2/5 + 4*v**3 + 4*v**2 + 2/5*v**5 + 2*v**h + 2*v = 0.
-1
Let k(q) be the third derivative of -q**6/480 - 7*q**5/240 + q**4/96 + 7*q**3/24 - 12*q**2 + 1. Determine i, given that k(i) = 0.
-7, -1, 1
Let r(p) = -5*p**3 + 5*p**2 + 89*p + 157. Let u(s) = -6*s**3 + 6*s**2 + 88*s + 156. Let k(m) = 4*r(m) - 3*u(m). Factor k(b).
-2*(b - 8)*(b + 2)*(b + 5)
Let l = -41 + 33. Let f(z) = -z**4 - 13*z**3 - 27*z**2 - 19*z - 4. Let s(p) = -4*p**4 - 40*p**3 - 80*p**2 - 56*p - 12. Let i(j) = l*f(j) + 3*s(j). Factor i(b).
-4*(b + 1)**4
Let m(j) = -4*j**2 + 42*j + 11. Let d be m(8). Let n = d - 181/2. Factor 3/2 - n*k**2 - k.
-(k - 1)*(k + 3)/2
Suppose -4*t + 22 = -5*g + 20, 5*t = 3*g + 9. Factor 1/2 + 9/2*v**2 + 3*v + 2*v**t.
(v + 1)**2*(4*v + 1)/2
Let q(n) = n**3 + 3*n**2 - 12*n - 13. Let u be q(3). Suppose -90/7*t**3 + 0 - 54/7*t**4 - 10/7*t**u - 12/7*t - 58/7*t**2 = 0. What is t?
-3, -1, -2/5, 0
Let a = 96 + -94. Factor -30 + 216*s**3 + 20*s**a - 212*s**3 - 6 + 12*s.
4*(s - 1)*(s + 3)**2
Let i(x) = 17*x**3 - 16*x**2 - 225*x + 4. Let a(c) = -190*c**3 + 175*c**2 + 2475*c - 45. Let z(p) = 4*a(p) + 45*i(p). Factor z(u).
5*u*(u - 9)*(u + 5)
Let t = 36 + -39. Let n be 5/(-15)*t/2. Factor 3/4*x**2 + 1/4*x**3 + n*x + 0.
x*(x + 1)*(x + 2)/4
Suppose -3*o + 24 = -3*u, 2*o + 8*u - 9*u = 11. Factor 0*m**o - 4/5*m + 2/5*m**4 + 0 - 6/5*m**2.
2*m*(m - 2)*(m + 1)**2/5
Find p, given that -21/4*p + 3/2 + 3/4*p**2 + 15/2*p**3 = 0.
-1, 2/5, 1/2
Suppose -9*c - 20 = -2*v - 6*c, 24 = 2*v - 4*c. Factor -2/5*z**v - 8/5*z + 4/5*z**3 + 6/5*z**2 - 8/5.
-2*(z - 2)**2*(z + 1)**2/5
Let t be (16/40)/(12/(-10))*-87. Let 30 - 3*s**3 - 99*s - 8*s**2 + t*s**2 + 51*s + 6 = 0. What is s?
2, 3
Let a = 9 - -4. Determine v, given that 12*v + 1 + 24*v**4 - 28*v**2 + 19*v**5 + 3 + a*v**5 - 44*v**3 = 0.
-1, -1/4, 1/2, 1
Let x = 57 + -56. Find k, given that -774*k**2 + 777*k**2 + 6*k + x + 2 = 0.
-1
Let m be (5/(-10))/((-2)/12). Let p(q) be