/4*t**4 + 1/2*t**3 - o + 1/2*t**2 - 1/4*t**5.
-(t - 1)**2*(t + 1)**3/4
Let g(x) be the second derivative of -x**10/151200 + x**9/75600 + x**8/16800 + 5*x**4/12 + 9*x. Let l(d) be the third derivative of g(d). Factor l(h).
-h**3*(h - 2)*(h + 1)/5
Let x be (4/(-7))/(5890/(-1085)). Let -32/19 - x*s**2 - 16/19*s = 0. Calculate s.
-4
Let n(x) = -x**3 - 19*x**2 + 23*x + 60. Let f be n(-20). Factor f - 4/7*s + 6/7*s**2 - 2/7*s**3.
-2*s*(s - 2)*(s - 1)/7
Let a(k) be the second derivative of 0*k**2 - 16*k + 13/20*k**5 + 1/5*k**6 + 1/42*k**7 + k**4 + 0 + 2/3*k**3. Factor a(j).
j*(j + 1)**2*(j + 2)**2
Let t(h) = 3*h + 42. Let k be t(14). Find p such that 122*p**2 - k*p**4 - 34*p**3 + 112*p**2 - 230*p**2 = 0.
-1/2, 0, 2/21
Let a be ((-42)/(-63))/(2 - (-146)/(-70)). Let j = a - -8. Determine y so that -2/3 + 8/9*y - j*y**2 = 0.
1, 3
Let j be (-2)/(-32)*8*(-4)/(-360). Let k(u) be the third derivative of 0*u + 0 - 6*u**2 - 1/36*u**4 + j*u**5 + 1/18*u**3. Factor k(g).
(g - 1)**2/3
Let g be (-12)/20 - (-58)/5. Suppose -17 = -2*l - g. Let 0 + 1/3*t**2 + 0*t - 1/3*t**4 + 0*t**l = 0. Calculate t.
-1, 0, 1
Let p be (4/(-6))/((-4)/(-18)). Let s be 4/7 - p*6/630. Factor -s*m**3 + 3/5 - 3/5*m**2 + 3/5*m.
-3*(m - 1)*(m + 1)**2/5
Let u(o) be the first derivative of -14*o**3/27 - 142*o**2/9 - 80*o/9 + 107. Factor u(w).
-2*(w + 20)*(7*w + 2)/9
Factor -24*l**2 - 576 + 96*l - 49*l**2 + 69*l**2.
-4*(l - 12)**2
Let w(t) be the first derivative of 12/5*t**5 + 4/9*t**6 + 29/6*t**4 + 43/9*t**3 + 2/3*t + 5/2*t**2 + 11. Factor w(f).
(f + 1)*(f + 2)*(2*f + 1)**3/3
Find b such that -78/5*b - 18/5*b**3 + 84/5*b**2 - 36/5 = 0.
-1/3, 2, 3
Let 25*q - 8*q - 4*q**2 - 8*q - 5*q = 0. What is q?
0, 1
Factor -55*v**4 - 35*v**3 - 4 + 8 + 4*v + 0 - 5*v**5 - 17*v**2 + 32*v**4.
-(v + 1)**3*(v + 2)*(5*v - 2)
Let h(j) be the second derivative of -j**4/3 - 64*j**3/3 - 512*j**2 - 7*j. Factor h(k).
-4*(k + 16)**2
Suppose 2*k - 2*j = k + 1, -j + 1 = 0. Let b(g) be the third derivative of 0*g**4 + 0*g + 1/30*g**5 - 1/24*g**6 + k*g**2 + 0 + 0*g**3. Factor b(a).
-a**2*(5*a - 2)
Let w(h) be the second derivative of h**4/90 + 22*h**3/45 + 7*h**2/5 + 55*h. Suppose w(y) = 0. What is y?
-21, -1
Suppose -2*n**3 + 7/5*n**4 - 1 - 1/5*n**5 - 2/5*n**2 + 11/5*n = 0. Calculate n.
-1, 1, 5
Suppose -5*o - y + 4 = -15, 2*y + 1 = 3*o. Suppose -4*w + 3 = -3*w. Factor 0*m**w - 3*m**4 - 3*m**4 - o*m**3 - 3*m**5.
-3*m**3*(m + 1)**2
Solve 17*h**2 + 30*h**4 + 31*h**4 - 13*h - 88*h**4 - 6 + 5*h**3 + 24*h**4 = 0 for h.
-2, -1/3, 1, 3
Suppose 4/3*x + 0 + 1/3*x**2 = 0. Calculate x.
-4, 0
Let i(w) be the first derivative of 9*w**4 + 107*w**3 + 477*w**2/2 - 42*w - 471. Factor i(k).
3*(k + 2)*(k + 7)*(12*k - 1)
Let t be ((-6)/10)/((1044/(-120))/29). Find h, given that -6/7*h**4 + 0*h**t + 3/7*h**5 + 0 + 0*h + 3/7*h**3 = 0.
0, 1
Let n(q) be the second derivative of -q**8/336 + 2*q**7/105 - q**6/24 + q**5/30 - 7*q**2/2 - 15*q. Let m(l) be the first derivative of n(l). Factor m(r).
-r**2*(r - 2)*(r - 1)**2
Let j be (-153)/4*(-493)/87. Let p = -216 + j. Factor p*l**3 - 3/2*l + 0 + 3/4*l**2.
3*l*(l - 1)*(l + 2)/4
Let p = -1465 - -1465. Let a(o) be the first derivative of -5 - 2/3*o**3 + p*o**4 + 2/5*o**5 - 1/2*o**2 + 0*o + 1/6*o**6. Factor a(k).
k*(k - 1)*(k + 1)**3
Let n be (-1053)/(-6) + 3/(-2) - 3. Let 25 + n + d**2 - 13*d - 15*d = 0. What is d?
14
Let 12/11 - 2/11*n**3 + 10/11*n - 4/11*n**2 = 0. Calculate n.
-3, -1, 2
Let c(z) be the first derivative of -z**2/2 + 12*z - 2. Let y be c(9). Factor 3*h**2 + h**2 + h**4 - 3*h**y + 4*h**3 - 6*h**2.
h**2*(h - 1)*(h + 2)
Factor -24/7*k**3 - 864/7*k + 1/7*k**4 + 1296/7 + 216/7*k**2.
(k - 6)**4/7
Let c(j) = 22*j**3 - 41*j**2 - 12*j. Let f(p) = -8*p**3 + 14*p**2 + 4*p. Let r(v) = -6*c(v) - 17*f(v). Solve r(a) = 0 for a.
-1, 0
Let f = 206059/9 + -22895. Determine g, given that -2/9*g**3 + 2*g - f - 2*g**2 + 2/3*g**4 = 0.
-2, 1/3, 1
Let f be (18 + 65/(-5))*(-2 + 3) - 5. Factor f*w**2 + 0*w - 4/3*w**3 + 4/3*w**4 + 0.
4*w**3*(w - 1)/3
Let 4/3*z**2 + 256/3 - 260/3*z = 0. Calculate z.
1, 64
Let k(m) be the first derivative of m**5/5 - 5*m**4/2 - 48*m**3 - 243*m**2 - 513*m + 227. Let k(p) = 0. Calculate p.
-3, 19
Let s(h) be the first derivative of -h**4/30 + 4*h**3/5 - 128. Let s(t) = 0. What is t?
0, 18
Let i(a) be the second derivative of -1/3*a**4 + 20*a + 0 - 1/8*a**2 - 1/3*a**3. Suppose i(x) = 0. What is x?
-1/4
Let a(j) = 2 + 1 + 4*j**2 - 11*j - 3*j**2. Let d be a(11). Factor 4*y**3 - d*y**3 - 3*y**4 - y**3.
-3*y**4
Let x(p) = 7*p**3 + 10*p**2 - 17*p - 2. Let i(k) = 114*k**3 + 159*k**2 - 273*k - 33. Let c(r) = 2*i(r) - 33*x(r). Factor c(b).
-3*b*(b - 1)*(b + 5)
Suppose 36 = 19*z - 13*z. Let g be z/(-4)*44/(-33). Let 1/6*h**5 + 0*h - 1/2*h**4 + 1/2*h**3 - 1/6*h**g + 0 = 0. Calculate h.
0, 1
Let q(k) = k + 4. Let z be q(0). Factor -7*a**2 - 3*a - 56 - a**3 + z*a**2 + 55.
-(a + 1)**3
Determine y, given that -y**2 - 8*y**2 + 4*y**2 + 8*y**2 - 15*y - 8 - 10 = 0.
-1, 6
Let y(c) be the third derivative of 7*c**7/75 + 91*c**6/75 + 41*c**5/50 - 41*c**4/15 + 28*c**3/15 + 17*c**2 + 1. Determine n, given that y(n) = 0.
-7, -1, 2/7
Suppose -3*u + 6 = 3*d + 2*d, -5*d + 4*u + 27 = 0. Let -x - 7*x**2 + 0*x**3 - d*x**3 - 2*x + x**2 = 0. What is x?
-1, 0
Let q(u) = u**2 + 2*u - 78. Let w be q(8). Factor 0 + 0*l - 1/3*l**4 - 1/3*l**w - 2/3*l**3.
-l**2*(l + 1)**2/3
Find x such that 4/9 - 8/3*x**4 + 2*x**2 - 2*x + 16/9*x**3 = 0.
-1, 1/2, 2/3
Solve 3*d - 1/4*d**3 + 0 - 1/4*d**2 = 0.
-4, 0, 3
Let h = -13 + 13. Suppose t - p - 2*p - 10 = h, 2*t + 4*p = -10. Factor 0 - i**2 - i + t + 1.
-(i - 1)*(i + 2)
Factor 2/5*c**2 + 0 - 6/5*c.
2*c*(c - 3)/5
Let g(z) be the third derivative of -6/17*z**3 - 1/1020*z**6 - 4/255*z**5 + 45*z**2 - 7/68*z**4 + 0 + 0*z. Factor g(a).
-2*(a + 2)*(a + 3)**2/17
Let y(c) be the second derivative of c**8/560 - 2*c**7/1575 - c**6/300 - c**4/4 + 3*c. Let f(l) be the third derivative of y(l). Factor f(w).
4*w*(3*w + 1)*(5*w - 3)/5
Let l be (5/2 - 2)*(-2 + 14). Let c be l/(-9) - 14/(-3). Suppose 3/4*w**5 - 3/2*w + 15/4*w**2 + 0 - 3/4*w**c - 9/4*w**3 = 0. Calculate w.
-2, 0, 1
Let f(q) = -q**2 + 4*q + 8. Let w(s) = s**2 - 5*s - 9. Let n(h) = -5*f(h) - 4*w(h). Find j, given that n(j) = 0.
-2, 2
Let b(w) = -3*w - 11. Let r be b(-7). Suppose 2*u - r = 2. Factor 7*s**2 + 2*s + s - 10*s**2 + u.
-3*(s - 2)*(s + 1)
Let m(d) be the third derivative of -5/36*d**4 - 50*d**2 + 0*d + 0 + 1/180*d**5 + 25/18*d**3. Determine o so that m(o) = 0.
5
Let u(n) be the second derivative of -n**7/126 + n**5/30 - n**3/18 + 4*n + 23. Factor u(c).
-c*(c - 1)**2*(c + 1)**2/3
Let q(t) be the third derivative of -t**7/420 + t**6/20 - 3*t**5/10 + 251*t**2. Solve q(a) = 0 for a.
0, 6
Let f(q) = q**3 + 3*q**2 - q. Let l(g) = g + 1. Let p(m) = -f(m) - 3*l(m). Let w be p(-3). Suppose -c**w - 3*c**2 + 0*c + c + 3*c**2 = 0. What is c?
-1, 0, 1
Let t(k) be the first derivative of 3*k**3/2 + 14*k**2 + 6*k + 93. Factor t(n).
(n + 6)*(9*n + 2)/2
Factor -269 + 5*w**2 + 15*w + 269.
5*w*(w + 3)
Suppose 5*a - 15 = 5*q - 0, 2*a = -3*q - 4. Factor -4*z**2 - a + 3 + 3*z**2 - 1.
-(z - 1)*(z + 1)
Let t(n) be the first derivative of -7/54*n**6 + 1/3*n**3 + 0*n - 1/5*n**5 + 13 + 5/36*n**4 + 1/9*n**2. Suppose t(h) = 0. What is h?
-1, -2/7, 0, 1
Suppose 0 = 2*c + 10, -4*b + 17 = 5*c - 14. Let y be b/(-6) - (2 - 5). Determine x so that y*x + 2/3*x**2 + 0 = 0.
-1, 0
What is d in 604*d**5 + 64*d - d**4 - 48*d**3 - 600*d**5 - 16*d**2 - 3*d**4 = 0?
-2, 0, 1, 4
Let -2/11*d**2 + 0 + 0*d = 0. Calculate d.
0
Let v(x) = x + 1. Let g(b) = -b + 13. Let n be g(9). Let o(s) = n*s**2 - 16 - 2*s - 2*s + s - s. Let d(a) = -o(a) - 8*v(a). Factor d(r).
-4*(r - 1)*(r + 2)
Let t be 1422*-18*(-18)/(-351). Let x = -1312 - t. Factor 0*m**2 + 0*m + 2/13*m**5 + 0 + 8/13*m**3 - x*m**4.
2*m**3*(m - 2)**2/13
Let z(u) be the second derivative of -u**3 + 0*u**2 + 14*u + 5/14*u**7 + 1/4*u**4 - 13/10*u**6 + 27/20*u**5 + 0. Factor z(k).
3*k*(k - 1)**3*(5*k + 2)
Let x(r) be the first derivative of 0*r + 9/2*r**2 - r**3 - 8. Determine w, given that x(w) = 0.
0, 3
Let f(u) = 93*u**2 + 3. Let w be f(2). Let -w*s**5 - 119*s**3 - 550*s**4 + 23*s**2 - 141*s**3 - 63*s**2 = 0. Calculate s.
-2/3, -2/5, 0
Factor 14/11*y - 8/11*y**2 + 20/11 - 2/11*y**3.
-2*(y - 2)*(y + 1)*(y + 5)/11
Let v(z)