r(p).
-p**4*(5*p - 2)/2
Find o, given that -13*o - 2 - 3*o - 11*o**2 - 8*o**2 + 5*o**2 = 0.
-1, -1/7
Let w(h) = -h**2 - 14*h - 50. Let n be w(-4). Let t(r) = -r**3 - 12*r**2 - 19*r + 10. Let u be t(n). Factor u + 3/2*p**4 + 9/2*p + 21/2*p**2 + 15/2*p**3.
3*p*(p + 1)**2*(p + 3)/2
Let l be (4 + 1)*-18 - (-2 - 0). Let u be -1 + 0 + 1 + l/(-110). Factor u*z**2 + 2/5*z + 2/5*z**3 + 0.
2*z*(z + 1)**2/5
Let t(l) be the first derivative of 5*l**3 - 25/4*l**4 + 0*l + 5*l**2 - 8. Determine z so that t(z) = 0.
-2/5, 0, 1
Let w = -138 + 159. Let i(u) = u**3 - 21*u**2 - 2*u + 44. Let d be i(w). Factor -v + 0 + 1/2*v**d.
v*(v - 2)/2
Let -1/4*j**4 + 0 + 3/2*j**3 - 5/4*j**2 + 0*j = 0. Calculate j.
0, 1, 5
Let c(z) be the first derivative of -z**3/9 - 3*z**2 + 40*z/3 + 404. Determine w, given that c(w) = 0.
-20, 2
What is r in 4/5*r - 2/5*r**2 + 0 = 0?
0, 2
Let a be -4*(-3 - (-8 + (-585)/(-55))*-1). Factor 2/11*f**2 + 14/11 - a*f.
2*(f - 7)*(f - 1)/11
Let y = -2350 - -7052/3. Determine f, given that 0 + f**3 - y*f**2 - 2/3*f**4 + 1/6*f + 1/6*f**5 = 0.
0, 1
Let l be (-3068)/472 - 173/(-26). Solve -l*w**2 - 8/13 + 8/13*w = 0.
2
Let v be 16 + 0/2 - 0. Let n be (2/8)/(2/v). Factor l**2 + 3*l**2 + 0*l**3 + n*l**3.
2*l**2*(l + 2)
Let x(k) = 4*k**2 - 1. Let g(j) = -26*j**2 + 62*j + 70. Let w(t) = -g(t) - 6*x(t). Factor w(u).
2*(u - 32)*(u + 1)
Let t(s) be the third derivative of -s**8/504 + s**7/105 + 23*s**6/180 + 11*s**5/30 + 7*s**4/18 - 330*s**2. Suppose t(z) = 0. What is z?
-2, -1, 0, 7
Let h(i) = -6*i**2. Let r(f) be the first derivative of -7*f**3/3 + 6. Let j(m) = -6*h(m) + 5*r(m). Determine w, given that j(w) = 0.
0
Let l(t) = t**5 - 10*t**4 - 8*t**3 + 3*t**2 + 3*t - 3. Let g(f) = 4*f**5 - 30*f**4 - 24*f**3 + 10*f**2 + 10*f - 10. Let v(a) = -3*g(a) + 10*l(a). Factor v(p).
-2*p**3*(p + 1)*(p + 4)
Let r(g) be the second derivative of g**8/240 + 8*g**7/315 - 17*g**6/180 - g**5/5 - 7*g**4/6 + 5*g. Let p(l) be the third derivative of r(l). Factor p(x).
4*(x - 1)*(x + 3)*(7*x + 2)
Suppose -28/3*x**3 + 4/3*x**4 + 176*x - 80/3*x**2 + 192 = 0. What is x?
-4, -1, 6
Let z = 27 + -24. Find y, given that 4*y**4 - 7*y**z - y**3 + 4*y**5 - 16*y**4 + 4*y**5 = 0.
-1/2, 0, 2
Let s(v) be the first derivative of -2*v**6/105 + v**5/35 + v**4/21 - 2*v**3/21 + 18*v + 19. Let n(u) be the first derivative of s(u). What is g in n(g) = 0?
-1, 0, 1
Let j = 6236/7 + -6234/7. Suppose 6/7*l**2 + j*l**3 + 4/7 - 2/7*l**4 - 10/7*l = 0. What is l?
-2, 1
Let p = -1452 - -1458. Let k(j) be the first derivative of -21/4*j**4 + 10 - p*j**2 + 0*j - 16*j**3. Factor k(x).
-3*x*(x + 2)*(7*x + 2)
Suppose 11*z - 14*z + 9 = 0. Solve -2*s + 4*s**2 - 5*s**3 - z*s - 14*s**2 = 0.
-1, 0
Let z be ((-12)/20)/(4/20) + 10. Find d, given that -d + z*d + 6*d**2 - 3 + 3*d**3 + 3*d - 15*d**2 = 0.
1
Factor -2585*y**2 - 3*y**4 - y**4 - 4135*y**2 + 328*y**3 - 328*y + 6724.
-4*(y - 41)**2*(y - 1)*(y + 1)
Let u(v) be the first derivative of -v**6/30 - v**5/15 + v**4/6 + 2*v**3/3 - v**2/2 - 7. Let g(i) be the second derivative of u(i). Factor g(p).
-4*(p - 1)*(p + 1)**2
Let q(i) be the first derivative of -i**4/38 - 10*i**3/57 - 8*i**2/19 - 8*i/19 + 32. Factor q(w).
-2*(w + 1)*(w + 2)**2/19
Suppose 2*n + 16 = 2*d, 2*n + 7 = 3*d - 12. What is p in -6/5*p - 4/5 + 2/5*p**d + 0*p**2 = 0?
-1, 2
Factor 1/3*h**2 + 22/3*h + 0.
h*(h + 22)/3
Let y(q) be the second derivative of 5*q**4/12 + 35*q**3/6 + 30*q**2 - 96*q. Suppose y(b) = 0. What is b?
-4, -3
Let x = 3628 - 10874/3. Solve 4/3 - 2*p**2 + x*p = 0 for p.
-1/3, 2
Let j = -4124 + 4126. Let -4/13*l**3 + 0*l + 0 - 2/13*l**4 - 2/13*l**j = 0. Calculate l.
-1, 0
Let d(s) be the first derivative of -s**6/21 - 8*s**5/35 + 24*s**4/7 - 32*s**3/3 + 80*s**2/7 + 188. Factor d(o).
-2*o*(o - 2)**3*(o + 10)/7
Let v(r) = 8*r**3 + 56*r**2 - 91*r - 117. Let o(l) = 4*l**3 + 28*l**2 - 46*l - 58. Let s(a) = -11*o(a) + 6*v(a). Factor s(g).
4*(g - 2)*(g + 1)*(g + 8)
Solve 6*j - 4*j**2 - 36*j**4 + 2*j**3 + 180 - 44*j**4 + 82*j**4 - 42*j**2 = 0 for j.
-5, -2, 3
Let q(j) be the third derivative of -81*j**8/560 - 9*j**7/70 - j**6/30 + j**3/2 - 3*j**2. Let y(b) be the first derivative of q(b). Factor y(r).
-3*r**2*(9*r + 2)**2
Suppose 0 = 3*c - 3*z - 18, -8*c + 5*z + 30 = -5*c. Factor c - 2/19*p**5 + 0*p**3 - 4/19*p**2 + 2/19*p + 4/19*p**4.
-2*p*(p - 1)**3*(p + 1)/19
Suppose -467*a + 340*a = 0. Let -3/7*f**2 + 12/7*f + a = 0. Calculate f.
0, 4
Let u(g) be the first derivative of -2/3*g**2 + 1/9*g**4 - 9*g - 4 - 1/9*g**3 + 1/30*g**5. Let s(v) be the first derivative of u(v). Solve s(x) = 0.
-2, -1, 1
Let s be (-510)/(-48)*(-2)/(-15) + 4/(-6). Determine b, given that -5/2*b**2 + 0 - s*b**3 - 3/4*b = 0.
-3, -1/3, 0
Let a(w) = w**2 - 17*w + 47. Let y be a(3). Let r(s) be the second derivative of 0*s**3 + 0 + 7*s + 0*s**2 + 1/3*s**4 + 2/15*s**6 + 2/5*s**y. Factor r(o).
4*o**2*(o + 1)**2
Let a(s) be the third derivative of s**5/120 + 17*s**4/12 + 67*s**3/12 + 3*s**2 + 70. Factor a(o).
(o + 1)*(o + 67)/2
Let -44*z + 215*z**2 - 156*z**3 + 44*z**2 + 18*z**4 - 43*z**2 - 34*z**4 = 0. Calculate z.
-11, 0, 1/4, 1
Let g = -11709 + 11713. Find t such that 3*t - 13/4*t**2 + 3/2*t**3 - 1/4*t**g - 1 = 0.
1, 2
Suppose -4*i**4 - 174*i - 2*i**5 + 90*i - 4*i**2 + 8 + 16*i**3 + 70*i = 0. What is i?
-4, -1, 1
Let g(d) be the third derivative of -d**5/180 - 5*d**4/36 + 11*d**3/18 + d**2. Factor g(q).
-(q - 1)*(q + 11)/3
Suppose 0 = 2*m - 4*h + 12, 0*h = -5*m + 4*h. Let j be (-6)/9 + (-17)/(-3). Factor -7*a**j + 5*a**5 - a**5 - 3*a**m.
-3*a**4*(a + 1)
Factor -8*f**3 + 1/4*f**5 - 34*f**2 - 28 - 52*f + 1/4*f**4.
(f - 7)*(f + 2)**4/4
Let x(r) = -r**2 + 16*r - 38. Let q be x(12). Suppose 2*y = -3*v - q, 2*v - 6*y = -y + 25. Solve 4/5*s**2 + 0*s + 6/5*s**3 + 2/5*s**4 + v = 0 for s.
-2, -1, 0
Let f be (3 + -11)*(-6)/(-8). Let c be 1 + 3 + f + 4. Find k such that 3*k**3 + 12*k**c - 2*k + k**3 + 10*k = 0.
-2, -1, 0
Let l(c) = 23*c**2 + 100*c + 103. Let f(s) = 11*s**2 + 50*s + 51. Let x(u) = -13*f(u) + 6*l(u). Let x(b) = 0. Calculate b.
-9, -1
Let k be 12/(-80)*(-25)/45*4. Factor 2/3*q**3 + 0*q + 1/3*q**4 + 0*q**2 - k*q**5 + 0.
-q**3*(q - 2)*(q + 1)/3
Let j(s) be the third derivative of s**5/20 + 5*s**4/24 - s**3/2 - 6*s**2. Let x be j(-4). Factor -3*z**3 + 25*z - x*z.
-3*z**3
Factor 0 - 24/7*g**3 - 72/7*g**2 - 2/7*g**4 + 0*g.
-2*g**2*(g + 6)**2/7
Determine h, given that 33/7*h - 9/7*h**2 - 18/7 + 3/7*h**4 - 9/7*h**3 = 0.
-2, 1, 3
Let j(t) be the third derivative of t**7/1155 + 5*t**6/132 - 9*t**5/110 - 25*t**4/132 + 26*t**3/33 + 116*t**2 - 1. Let j(i) = 0. Calculate i.
-26, -1, 1
Let i = 991/1332 - -2/333. Let y = -526 - -528. Factor 3/4*a**5 - 3/4*a**4 + i*a**y + 0 - 3/4*a**3 + 0*a.
3*a**2*(a - 1)**2*(a + 1)/4
Let f(x) be the third derivative of x**5/360 - 83*x**4/144 - 7*x**3/3 - 481*x**2. Factor f(u).
(u - 84)*(u + 1)/6
Suppose 233 - 79 = 77*r. Let f(y) = 4*y**2. Let i be f(-2). Solve -15*u - i*u**2 + 8*u**2 + 13*u**r = 0.
0, 3
Let g(j) = 13*j - 139. Let v be g(11). Let u(f) be the second derivative of 1/28*f**v + 3/7*f**2 + 0 + 8*f - 3/14*f**3. Determine p so that u(p) = 0.
1, 2
Let -120*w - 260*w**2 + 1341*w**5 + 264*w**3 + 260*w**4 - 1343*w**5 - 142*w = 0. What is w?
-1, 0, 1, 131
Let 10/13*p + 114/13*p**2 - 28/13 + 10/13*p**4 + 86/13*p**3 = 0. What is p?
-7, -1, 2/5
Let p(s) be the third derivative of s**8/1680 - s**7/525 - s**6/150 + 2*s**5/75 - 9*s**2 + 4. Factor p(n).
n**2*(n - 2)**2*(n + 2)/5
Let z(n) be the first derivative of n**7/420 - 5*n**2 - 4. Let o(h) be the second derivative of z(h). Factor o(l).
l**4/2
Let f be (-16)/(-14)*((-1932)/18)/(-46). Factor f + 2/3*o - 2/3*o**3 - 8/3*o**2.
-2*(o - 1)*(o + 1)*(o + 4)/3
Let n(h) = 11*h + 5. Let p be n(2). Let -70*r**4 - 11*r**4 - 13 + 5 - 252*r**2 - p*r**4 - 324*r**3 - 76*r = 0. Calculate r.
-2, -1/3
Determine s, given that -16*s**3 - 14 + 12*s**4 + 4*s**5 - 10*s**3 - 3*s**5 - 2*s**3 + 2*s**2 + 27*s = 0.
-14, -1, 1
Let x(y) be the second derivative of y**5/100 + 3*y**4/20 + 2*y**3/3 + 6*y**2/5 - 149*y. Let x(d) = 0. Calculate d.
-6, -2, -1
Let 30 - 12*g**3 - 45*g**2 - 35*g - 21*g**3 + 23*g**3 = 0. What is g?
-3, -2, 1/2
Factor -18/5*c - 1/5*c**2 - 81/5.
-(c + 9)**2/5
Let n(g) be the second derivative of -5*g**8/672 + g**7/28 - g**6/16 + g**5/24 - 3*g**2/2 + 43*g. Let m(s) 