/30 + 41*a**3/15 + a**2 - 8*a - 3. Solve n(u) = 0.
-5, -1, -1/4, 1
Factor 126*i**3 - 57*i**5 - 196*i**4 + i - 41*i**5 - 20*i**2 - 245*i**5.
-i*(i + 1)*(7*i - 1)**3
Let p(m) be the first derivative of m**6/33 + 8*m**5/55 - m**4/2 + 4*m**3/11 - 826. Factor p(w).
2*w**2*(w - 1)**2*(w + 6)/11
Let r(y) be the first derivative of y**4/14 + 8*y**3/21 - 3*y**2 + 47. Factor r(g).
2*g*(g - 3)*(g + 7)/7
Let r be 6/1940*(-565)/(-12). Let q = -2/97 + r. Factor 0 + 1/4*x**3 - q*x**2 - 1/8*x**4 + 0*x.
-x**2*(x - 1)**2/8
Let n(v) be the first derivative of -3*v**5/20 - 3*v**4/8 - v**3/4 - 46. Factor n(u).
-3*u**2*(u + 1)**2/4
Let n = 20803 + -20770. Factor 3/2*v**2 + n*v + 363/2.
3*(v + 11)**2/2
Let w be 2 - 27*(-4 - -3). Let q = -26 + w. Solve -18 + 5*k + 4 + 12 + k**q - 4*k**2 = 0 for k.
1, 2
Let n(w) be the second derivative of -3*w**5/20 - 16*w**4 + 65*w**3/2 + 203*w. Determine m, given that n(m) = 0.
-65, 0, 1
Suppose -5*z - 2*w = -16, z + 3785*w = 3783*w + 8. Factor 3/5*y**3 - 3/5*y + 3/5 - 3/5*y**z.
3*(y - 1)**2*(y + 1)/5
Let d(x) be the first derivative of -x**5/5 + 125*x**4/16 - 9*x**3/4 - 125*x**2/8 + 31*x/4 - 112. Find b such that d(b) = 0.
-1, 1/4, 1, 31
Let c(g) = -2*g**4 - 8*g**3 + 8*g**2 + 2*g - 6. Let h(r) = -4*r**4 - 15*r**3 + 15*r**2 + 4*r - 11. Let o(x) = 11*c(x) - 6*h(x). Factor o(t).
2*t*(t - 1)*(t + 1)**2
Let g(j) = -2*j**4 + 267*j**3 + 525*j**2 + 251*j - 5. Let m(u) = 2*u**4 - 133*u**3 - 263*u**2 - 125*u + 3. Let x(t) = -3*g(t) - 5*m(t). Factor x(d).
-4*d*(d + 1)**2*(d + 32)
Let t(l) = -2*l**3 + 18*l**2 - 2*l + 22. Let o be t(9). Solve 0*m**5 - m**5 + 0*m**3 + 5*m**3 + 3*m**o + m**2 - 8*m**3 = 0 for m.
0, 1
Let c(n) = n**2 - 2*n. Let s(x) = 3*x - 6. Let u(y) = -c(y) + s(y). Find z, given that u(z) = 0.
2, 3
Suppose -1 = 4*m - 5. Let r be (-3 - 21/(-6))*(m - 0). Factor 0*k**2 - 1/2*k**4 - r*k**3 + 0 + 0*k.
-k**3*(k + 1)/2
Factor 19*w**4 - 147 + 8*w + 3 - 20*w + 38*w**2 - 7*w**4 - 14*w**4.
-2*(w - 3)**2*(w + 2)*(w + 4)
Let n = 270/49 + -116/49. Solve 0 - 4/7*g**5 - 32/7*g**2 - n*g**4 - 8/7*g - 6*g**3 = 0.
-2, -1, -1/2, 0
Let c(f) be the second derivative of -f**5/4 - 35*f**4/12 - 25*f**3/2 - 45*f**2/2 - 49*f. Determine q, given that c(q) = 0.
-3, -1
Let i(f) = -f + 14. Let s be i(5). Let c = 13 - s. Solve 2*t**4 + 5*t**5 - t**c - 100*t - 70*t**2 + 5*t**3 + 19*t**4 - 40 = 0 for t.
-2, -1, 2
Let o(i) be the second derivative of 5*i**4/4 + 50*i**3/3 + 30*i**2 + 60*i. Factor o(c).
5*(c + 6)*(3*c + 2)
Suppose 2*s - 4 = 5*b, -2*s - 5*b - 37 + 41 = 0. Solve 0 + 3/2*i**s - 3*i + 3*i**3 - 3/2*i**4 = 0 for i.
-1, 0, 1, 2
Let a(m) = 2*m**2 - 1. Let u(d) = 12*d**2 - 42*d + 35. Let f(i) = 5*a(i) - u(i). Factor f(j).
-2*(j - 20)*(j - 1)
Let y = -509/2 - -258. Let c(m) be the second derivative of -4*m**2 + 49/10*m**5 + 0 - 7*m - y*m**4 - 8*m**3. Suppose c(x) = 0. Calculate x.
-2/7, 1
Let s be -72 + 71 + (-1)/((-48)/49). Let n(h) be the second derivative of -s*h**4 + 1/40*h**5 + 0*h**2 + 0*h**3 + 0 - 5*h. What is a in n(a) = 0?
0, 1/2
Let n(t) be the second derivative of t**6/18 + 5*t**5/24 + 5*t**4/24 + t**3/2 + 33*t. Let u(k) be the second derivative of n(k). Solve u(q) = 0 for q.
-1, -1/4
Let p(n) = n - 1. Let r(t) = -t**2 - 12*t + 13. Let s(a) = -4 - 8 + a**2 + 6*a + 5. Let x(d) = 6*r(d) + 11*s(d). Let w(j) = -6*p(j) - x(j). Factor w(h).
-5*(h - 1)*(h + 1)
Let f(w) be the third derivative of -w**6/24 - 5*w**5/12 + 65*w**4/24 - 35*w**3/6 + 68*w**2. Factor f(j).
-5*(j - 1)**2*(j + 7)
Let h be -1 + (-3 + 2)*-45 - 4. Suppose -4*s - 16*s = -h. Factor 243/4 - 81*n + 3/4*n**4 + 81/2*n**s - 9*n**3.
3*(n - 3)**4/4
Suppose -t - 4*m = 10, -2*t - 4*m - 6 = t. Factor 5*p**t + 2*p**3 - 7*p**2 + 0*p**2.
2*p**2*(p - 1)
Let t = -196 + 199. Let n(a) be the first derivative of 2 + 0*a - 1/22*a**4 + 0*a**t + 1/11*a**2. Factor n(m).
-2*m*(m - 1)*(m + 1)/11
Let b be ((-2)/1)/((-20)/30). Find p, given that b - 4 + 2*p**2 + 4*p + 3 = 0.
-1
Let t(i) = -2*i**5 - i**4 + i**3 + i**2 + i + 1. Let x(f) = -4*f**5 + 40*f**4 + 176*f**3 + 296*f**2 + 228*f + 68. Let d(y) = 4*t(y) - x(y). Factor d(g).
-4*(g + 1)**3*(g + 4)**2
Suppose -4*r + 1 + 11 = 0. Suppose -3*m - r*q + 12 = 0, 6 = 3*m + q - 4. Factor -2/11*b**m + 0*b**2 + 2/11*b + 0.
-2*b*(b - 1)*(b + 1)/11
Let s(x) = -12*x**2 - 72*x - 181. Let b(n) = -4*n**2 - 36*n - 90. Let l(a) = -5*b(a) + 2*s(a). Find c, given that l(c) = 0.
-2, 11
Let o(k) = k**3 + 11*k**2 - 2*k - 18. Let b be o(-11). Suppose p**5 + 2*p**3 + p**3 + 0*p**3 - b*p**3 = 0. What is p?
-1, 0, 1
Let r be 16/8 + (0 - -2). Factor 11*p - 11*p - 3*p**4 + p**r + 2*p**5.
2*p**4*(p - 1)
Let p(l) = 4*l**2 + 5*l - 3. Let s be (14 - 15)/((-1)/(-3)). Let t(i) = -7*i**2 - 9*i + 6. Let f(r) = s*t(r) - 5*p(r). Factor f(q).
(q - 1)*(q + 3)
Let t(r) be the third derivative of r**7/7560 + r**6/1080 + r**5/540 + 3*r**3 + 17*r**2. Let b(k) be the first derivative of t(k). Factor b(l).
l*(l + 1)*(l + 2)/9
Let n be ((-8)/(-36))/(1/51) - 6. Find b such that 0 + 0*b - 4/3*b**4 - n*b**3 - 16/3*b**2 = 0.
-2, 0
Let g(j) be the first derivative of 3*j**5/5 - 2*j**4/3 - 14*j**3/3 - 4*j**2 + 28*j + 16. Let d(k) be the first derivative of g(k). Factor d(h).
4*(h - 2)*(h + 1)*(3*h + 1)
Let c(o) be the third derivative of -1/42*o**7 + 0*o - 5/12*o**5 - 1/6*o**6 + 0*o**3 - 5/12*o**4 + 3*o**2 + 0. Factor c(h).
-5*h*(h + 1)**2*(h + 2)
Suppose -8 = -2*l - 6. Let o(c) = 22*c**2 - c. Let h be o(l). Find n, given that -25*n**4 - 50*n**2 + h*n + 50*n**3 + 4*n - 2*n**5 - 5 + 7*n**5 = 0.
1
Let o(h) = -6*h**3 - 136*h**2 - 1019*h - 5. Let v(z) = 21*z**3 + 474*z**2 + 3567*z + 18. Let s(a) = 18*o(a) + 5*v(a). Suppose s(r) = 0. Calculate r.
-13, 0
Let g(t) be the first derivative of t**4/16 - t**2/2 - 101. Factor g(l).
l*(l - 2)*(l + 2)/4
Let y(g) be the first derivative of -3*g**4/8 + 41*g**3/2 - 330*g**2 + 600*g + 132. Find t such that y(t) = 0.
1, 20
Let l = -5955 + 5959. Factor 32/3*s**3 + 6*s**l + 0 + 10/3*s**2 - 4/3*s.
2*s*(s + 1)**2*(9*s - 2)/3
Let d(v) = v + 226. Let j be d(0). What is g in g**2 + 4*g**5 - 5*g**2 + 4*g**4 + j*g**3 - 230*g**3 = 0?
-1, 0, 1
Let t(p) = -5*p**2 - 12*p + 15. Let m(v) = v. Let q = -138 + 136. Let k = -4 + 3. Let l(f) = k*t(f) + q*m(f). Solve l(d) = 0.
-3, 1
Factor -1/4*q**3 + 0*q**2 + 3/4*q + 1/2.
-(q - 2)*(q + 1)**2/4
Let j = 81/46 - 29/23. Let i(t) be the second derivative of j*t**3 + 3/20*t**4 + 4*t + 3/5*t**2 + 0. Suppose i(l) = 0. Calculate l.
-1, -2/3
Let x(o) be the third derivative of -o**7/630 + o**6/60 - o**5/45 - o**4/12 + 5*o**3/18 + 96*o**2. Find d such that x(d) = 0.
-1, 1, 5
What is x in -47/2*x**3 - 11/2*x**4 - 48*x - 18 - 1/2*x**5 - 97/2*x**2 = 0?
-3, -2, -1
Let p(z) = -z**2 + 70*z - 1085. Let h(o) = -o**2 + 69*o - 1086. Let b(i) = -4*h(i) + 3*p(i). What is j in b(j) = 0?
33
Let y(d) be the second derivative of 4*d + 0*d**2 - 2/45*d**6 + 0*d**4 + 2/15*d**5 + 0 + 0*d**3. Solve y(p) = 0 for p.
0, 2
Determine f, given that 4/3*f**4 - 4*f**3 + 11/3*f + 1/3*f**5 + 2/3*f**2 - 2 = 0.
-6, -1, 1
Let b = -967 - -967. Let o(k) be the third derivative of b*k**5 + 7*k**2 + 2/3*k**3 - 1/60*k**6 + 0*k + 1/4*k**4 + 0. Factor o(l).
-2*(l - 2)*(l + 1)**2
Let n = -854 + 51241/60. Let p(k) be the second derivative of 0*k**3 + 1/12*k**4 + 0*k**2 + 7*k + n*k**6 + 0 + 3/40*k**5. Find v such that p(v) = 0.
-2, -1, 0
Let d(w) be the third derivative of -w**8/63840 + w**7/3990 - w**6/1368 - 13*w**4/24 - 4*w**2. Let x(y) be the second derivative of d(y). Factor x(v).
-2*v*(v - 5)*(v - 1)/19
Factor -12*w + 18 + 3/2*w**2.
3*(w - 6)*(w - 2)/2
Let d(k) be the first derivative of -5*k**3/3 - 15*k**2 - 45*k - 15. What is u in d(u) = 0?
-3
Let m = -12193/7 - -1742. Let 2/7*z**4 - 8/7*z**2 + 0 + 0*z - m*z**5 + 4/7*z**3 = 0. What is z?
-2, 0, 2
Let k(c) be the second derivative of 39*c + 1/3*c**2 + 1/18*c**3 - 1/36*c**4 + 0. Factor k(h).
-(h - 2)*(h + 1)/3
Let t = -235423/1729 + 1770/13. Let z = t + 275/1197. Factor 0*h + 0 + z*h**4 + 0*h**2 + 2/9*h**3.
2*h**3*(h + 1)/9
Suppose -4*y - 4 = -12. Let m be (1/2)/((-5)/(-20)*1). Factor 4*a**y - 2*a**2 + a**m + 8*a + a.
3*a*(a + 3)
Let u be (-3053)/(-3612) + (4/(-21))/2. Suppose u*l + 1/4*l**2 + 0 = 0. Calculate l.
-3, 0
Let p(l) be the second derivative of 2*l**6/15 + 4*l**5/5 + l**4/3 - 4*l**3 + 7*l - 8. Determine j so that p(j) = 0.
-3, -2, 0, 