/7*n**5.
-2*n**2*(n - 25)*(n + 1)**2/7
Find y, given that -13 + 882*y - 897*y + 3 + 5*y**3 = 0.
-1, 2
Let v(r) = -r**2 + 32*r - 31. Let k be v(1). Let c(q) be the second derivative of -3/4*q**2 + 4*q + 0*q**3 + k + 1/8*q**4. Let c(x) = 0. Calculate x.
-1, 1
Let f(h) = h**3 - 4*h. Let l be f(3). Let q be (7 + -17)*(-3)/l. Let -1/2*s**4 - 8*s + 8 + 2*s**3 + 0*s**q = 0. What is s?
-2, 2
Let d(s) = 2*s**3 - s**2 - 3 - 3*s + 3*s**4 - 8*s**4 - 14*s**3 + 0. Let k(j) = 16*j**4 + 36*j**3 + 4*j**2 + 8*j + 8. Let a(u) = 8*d(u) + 3*k(u). Factor a(c).
4*c**2*(c + 1)*(2*c + 1)
Suppose -32 = -8*h + 88. What is d in h*d**2 - 64*d + 45*d + 39*d - 5*d**3 = 0?
-1, 0, 4
Factor 20402/3*q + 2060602/9 + 2/9*q**3 + 202/3*q**2.
2*(q + 101)**3/9
Let h(q) be the first derivative of -2*q**5/55 + 2*q**3/33 + 34. Factor h(g).
-2*g**2*(g - 1)*(g + 1)/11
Suppose -18 = -3*n - 6*n. Find d, given that 3*d - n*d + 5*d**3 - 3*d**2 - 4*d - 9*d**4 + 10*d**3 = 0.
-1/3, 0, 1
Let z(n) be the third derivative of n**6/900 + n**5/18 + 14*n**4/15 + 16*n**3/5 - 196*n**2. Find l such that z(l) = 0.
-12, -1
Let i = 1143 - 1141. Let z(x) be the first derivative of 9 - 2*x - 13/4*x**4 + 2/3*x**3 + 13/2*x**i. Factor z(m).
-(m - 1)*(m + 1)*(13*m - 2)
Let d(s) = s**5 + 7*s**4 - 10*s**3 + 29*s**2 - 9*s - 9. Let b(g) = g**4 + g**3 + g**2 - g - 1. Let c(f) = -18*b(f) + 2*d(f). Find n, given that c(n) = 0.
-4, 0, 1, 5
Let g(s) = -2*s**5 - s**4 + s**3 + 2*s. Let n(d) = -69*d**5 - 63*d**4 + 138*d**3 - 6*d. Let z(y) = 3*g(y) - n(y). Determine h, given that z(h) = 0.
-2, -2/7, 0, 1/3, 1
Let s(y) be the second derivative of 0*y**3 + 1/3*y**4 - 2/21*y**7 - y + 0*y**2 + 0 + 1/5*y**5 - 2/15*y**6. Factor s(z).
-4*z**2*(z - 1)*(z + 1)**2
Let p(d) be the first derivative of -1/6*d**3 - 1/6*d**2 + 0*d - 1/24*d**4 + 5. Factor p(w).
-w*(w + 1)*(w + 2)/6
Let y(w) = w**3 + 6*w**2 + 5. Let m be y(-6). Factor 14*d**2 + 17*d**2 - d - 1 - d**4 + d**m - 29*d**2 - 2*d**5 + 2*d**3.
-(d - 1)**2*(d + 1)**3
Let w(f) be the first derivative of 6*f**5/5 - 99*f**4/4 + 16*f**3 + 181. Factor w(y).
3*y**2*(y - 16)*(2*y - 1)
Let i(k) be the second derivative of 0 + 1/2*k**2 - 5/24*k**4 + 1/30*k**5 + 2*k + 1/3*k**3. Let v(s) be the first derivative of i(s). Let v(r) = 0. What is r?
1/2, 2
Determine m so that 131*m**2 + 124*m**3 - 118*m**3 + 75*m + 94*m**2 + 132*m**3 + 36*m**4 - 45*m**2 + 3*m**5 = 0.
-5, -1, 0
Let t = 128 + -125. Let r(q) be the third derivative of 13/6*q**4 + 0*q - 7*q**2 + 0 - 2/105*q**7 + 7/30*q**6 - 8/3*q**t - q**5. Factor r(p).
-4*(p - 4)*(p - 1)**3
Let s(t) be the second derivative of -3*t**7/1960 + t**6/120 - t**5/140 + 7*t**3/6 + 14*t. Let n(l) be the second derivative of s(l). Let n(y) = 0. Calculate y.
0, 1/3, 2
Let z be (-2)/10*(-46 + 46). Let x(u) be the third derivative of 0*u**5 + 0*u + 0*u**4 + 5*u**2 - 1/720*u**6 + 0*u**3 + z. Find r such that x(r) = 0.
0
Let q be (3 + 2 - -8) + (-3 - -6). Let m(d) be the first derivative of 5 + 4/3*d**3 + 0*d**2 - q*d. Factor m(g).
4*(g - 2)*(g + 2)
Let h(f) be the first derivative of -25/3*f + f**4 + 21 + 10*f**2 - 46/9*f**3 - 1/15*f**5. Factor h(i).
-(i - 5)**2*(i - 1)**2/3
Let z = 54 + -88. Let u = z - -37. Find p such that -34/3*p**2 + 4/3 - 82/3*p**u - 14*p**4 + 10/3*p = 0.
-1, -2/7, 1/3
Let w = 169/5 + -33. Let k be (-10*7/(-70))/((-3)/(-9)). Factor -w*j**2 + j + 1/5*j**k - 2/5.
(j - 2)*(j - 1)**2/5
Let 60*l + 6*l**2 + 120*l**2 + 2*l**4 - 62 + 54 + 36*l**3 - 217 + l**4 = 0. Calculate l.
-5, -3, 1
Let n = -16831 - -16833. Factor 0 - 5/3*g**n + 5*g.
-5*g*(g - 3)/3
Let i(z) be the first derivative of 2*z**5/5 + 295*z**4/2 + 19206*z**3 + 911493*z**2 - 3881196*z - 864. Find t, given that i(t) = 0.
-99, 2
Let h(c) be the second derivative of -c**4/12 - c**3/6 + 3*c**2 - 2*c - 2. Factor h(j).
-(j - 2)*(j + 3)
Solve 98/9*u**5 + 384*u**2 + 0 + 5384/9*u**3 - 168*u**4 + 512/9*u = 0.
-2/7, 0, 8
Suppose -239*p = -243*p - 7*m - 30, 0 = -4*p - 2*m. What is j in -4/15*j**p + 0*j + 2/5*j**4 + 0 + 0*j**2 = 0?
0, 2/3
Let j(t) be the third derivative of 0*t**3 + 0 + 0*t - 2/21*t**7 - 1/3*t**5 - 19*t**2 + 1/4*t**6 + 5/336*t**8 + 5/24*t**4. Suppose j(k) = 0. Calculate k.
0, 1
Suppose 0 = 61*s - 63*s. Let u(j) be the second derivative of 0*j**5 + 2*j + 1/6*j**4 + 0*j**2 + 0*j**3 + s - 1/15*j**6. What is f in u(f) = 0?
-1, 0, 1
Let m = 50 - 34. Let n = m + -14. Determine j, given that -n*j**4 - 2 - 18*j**3 - 39*j**2 - 36*j - j**4 - 10 = 0.
-2, -1
Let w be (-2)/21*(-39)/624. Let h(r) be the third derivative of 0*r**3 - w*r**8 - 3/20*r**6 - 7/30*r**5 + 0*r - 1/21*r**7 + 0 - 1/6*r**4 + 5*r**2. Factor h(p).
-2*p*(p + 1)**3*(p + 2)
Let x(f) = 6*f**4 - 3*f**2 - 3*f. Let p(w) = -274*w**4 + 3 + 8*w**2 - 3 + 257*w**4 + 8*w - w**3. Let y(t) = 3*p(t) + 8*x(t). Suppose y(s) = 0. What is s?
-1, 0
Let o(w) be the third derivative of w**7/70 + w**6/72 - 13*w**5/180 - 5*w**4/72 + 2*w**3/9 + 23*w**2 - 1. Determine a, given that o(a) = 0.
-1, 4/9, 1
Factor 10/3*t**2 + 0 + t + t**3.
t*(t + 3)*(3*t + 1)/3
Let f(a) = -9*a**4 + 219*a**3 - 138*a**2 - 3. Let h(m) = 9*m**4 - 217*m**3 + 138*m**2 + 2. Let p(r) = 2*f(r) + 3*h(r). Suppose p(w) = 0. What is w?
0, 2/3, 23
Let r(u) be the first derivative of -4*u**3/3 + 388*u**2 - 37636*u - 305. Let r(i) = 0. Calculate i.
97
Let q(p) = -151*p**3 + 869*p**2 - 661*p + 139. Let n(d) = -603*d**3 + 3474*d**2 - 2643*d + 555. Let y(u) = 4*n(u) - 15*q(u). Factor y(z).
-3*(z - 5)*(7*z - 3)**2
Suppose -164*q**2 - 168*q**2 - 846*q - 59643 + 329*q**2 = 0. What is q?
-141
Let f(a) be the third derivative of -a**8/24 - 4*a**7/35 - a**6/20 + a**5/15 + 35*a**2. Factor f(b).
-2*b**2*(b + 1)**2*(7*b - 2)
Let y(f) be the third derivative of -3*f**6/8 - 8*f**5/5 + 41*f**4/8 + 3*f**3 - 109*f**2. Determine g so that y(g) = 0.
-3, -2/15, 1
Let v(r) = -r**4. Let a(b) = b**5 - 14*b**4 + 97*b**3 - 144*b**2 + 64*b. Let q(h) = 3*a(h) + 12*v(h). Let q(t) = 0. Calculate t.
0, 1, 8
Let m be 2 + -3 + -3 - -16. Let p be -1 - 27/m - (-6 - -2). Factor 1/2*i + 0 + 1/4*i**3 - p*i**2.
i*(i - 2)*(i - 1)/4
Let i(f) = -f**3 + 28*f**2 + 31*f - 66. Let g be i(29). Let o be (3/22)/(9/(-288)*g). Let o*n - 6/11*n**2 - 2/11 + 2/11*n**3 = 0. What is n?
1
Let c(t) be the second derivative of t**6/15 - 7*t**5/5 - t**4/2 + 40*t**3/3 + 28*t**2 - 59*t - 2. Factor c(r).
2*(r - 14)*(r - 2)*(r + 1)**2
Let w(u) be the second derivative of -u**7/105 + u**6/48 + 7*u**5/120 - u**4/24 - 3*u**2/2 + 12*u. Let p(y) be the first derivative of w(y). Factor p(n).
-n*(n - 2)*(n + 1)*(4*n - 1)/2
Let u(i) = -2*i**3 + i**2 - 1. Let o(l) = 4*l**4 + 62*l**3 - 32*l**2 + 6. Let a(k) = o(k) + 6*u(k). Factor a(t).
2*t**2*(t + 13)*(2*t - 1)
Let l be 6/(0 - 162/(-4)). Let w(g) be the third derivative of 0*g**4 + 0*g + 0 + l*g**3 - 7*g**2 - 1/270*g**5. Let w(i) = 0. What is i?
-2, 2
Let i(g) = 5*g**4 - 6*g**3 + 14*g - 1. Let w(o) = 30*o**4 - 35*o**3 + 85*o - 5. Suppose -4*q - 2 = -18. Let m(d) = q*w(d) - 25*i(d). Factor m(r).
-5*(r - 1)**3*(r + 1)
Let o(v) = 2*v - 34. Let m be o(19). Let w(t) be the second derivative of -3/20*t**5 - 1/2*t**3 + 0*t**2 - 3*t - 1/2*t**m + 0. Let w(l) = 0. What is l?
-1, 0
Factor -116*m**2 - 70*m - 4*m**3 - 1050*m + 671 - 4271.
-4*(m + 9)*(m + 10)**2
Let o(w) = -w**3 + 10*w**2 + 15*w - 38. Suppose 0 = 14*q - 21*q + 77. Let l be o(q). Let -l*f - 6 - 3/2*f**2 = 0. Calculate f.
-2
Let g(r) be the second derivative of -r**4/78 - 5*r**3/39 - 6*r**2/13 + 69*r. Factor g(y).
-2*(y + 2)*(y + 3)/13
Let a(r) be the first derivative of 2/3*r**4 + 2/3*r - 1/6*r**6 - 33 + 4/15*r**5 - 2/3*r**3 - 5/6*r**2. Let a(f) = 0. What is f?
-1, 1/3, 1, 2
Let j(m) be the second derivative of m**6/45 + m**5/12 + m**4/36 - m**3/9 - m - 3. Factor j(q).
q*(q + 1)*(q + 2)*(2*q - 1)/3
Let m be (-18)/(-81) - (50/(-18) - -1). Factor 97*g**4 + 98*g**4 - 199*g**4 + 24*g**3 - 36*g**m.
-4*g**2*(g - 3)**2
Let h(d) be the first derivative of -20 + 0*d**2 + 0*d**3 + d**5 - 15/2*d**4 + 0*d. Factor h(v).
5*v**3*(v - 6)
Let d(j) be the third derivative of -j**9/105840 + j**7/5880 + j**6/2520 + j**4/12 - 11*j**2. Let k(f) be the second derivative of d(f). Solve k(y) = 0 for y.
-1, 0, 2
Let t(o) be the third derivative of -9*o**2 - 1/4*o**4 + 0 + 0*o**3 - 1/20*o**5 + 0*o. Factor t(x).
-3*x*(x + 2)
Let q = 11 + 14. Let n = q + -20. Factor n*b - 22*b**2 - 5*b