at is k in s(k) = 0?
-9
Let a(z) = -z**2 - 20*z + 27. Let d(u) = u**2 + 40*u - 55. Let t(j) = 7*a(j) + 3*d(j). Determine f so that t(f) = 0.
-6, 1
Let p = 9103/3 - 4141864/1365. Let h(t) be the third derivative of p*t**7 + 1/39*t**4 + 1/65*t**5 + 3*t**2 + 0*t + 1/39*t**3 + 1/195*t**6 + 0. Factor h(j).
2*(j + 1)**4/13
Let b = 5 - 0. Let c(v) be the second derivative of 0 + 1/10*v**b + 0*v**2 - 1/6*v**4 - 1/3*v**3 + 1/15*v**6 - 2*v. Let c(a) = 0. Calculate a.
-1, 0, 1
Suppose 5*u = 158 - 138. Factor 10*l**5 + 0 + 2/5*l + 92/5*l**3 + 24/5*l**2 + 24*l**u.
2*l*(l + 1)**2*(5*l + 1)**2/5
Factor 2 - 150*p**2 - 59*p - 2 + 51*p + 5*p**3 - 147*p.
5*p*(p - 31)*(p + 1)
Let r be 1 + -2 + (-16)/(-12). Let z = 4/9 - 1/9. Factor z*b + r*b**2 + 0.
b*(b + 1)/3
Suppose -6 = -8*d + 10. Let x(r) be the first derivative of 0*r + 1 + 3/4*r**3 - 3/8*r**d. Factor x(c).
3*c*(3*c - 1)/4
Let b(n) be the first derivative of -n**8/3360 - n**7/1680 + n**6/720 + n**5/240 - 5*n**3 + 10. Let x(j) be the third derivative of b(j). Factor x(v).
-v*(v - 1)*(v + 1)**2/2
Let y(z) = z + 3. Let s be y(-4). Let x(o) = -5 - 4*o + 5*o**2 + o - o. Let t(c) = -c**2 - 1. Let r(b) = s*x(b) + 5*t(b). Factor r(u).
-2*u*(5*u - 2)
Let q(m) be the third derivative of m**5/300 + m**4/8 + 7*m**3/15 + 17*m**2 - 4*m. What is c in q(c) = 0?
-14, -1
Let r(y) be the first derivative of 2/9*y**4 - 13 - 4/27*y**3 - 1/27*y**6 - 1/3*y**2 + 0*y**5 + 4/9*y. Let r(k) = 0. What is k?
-2, -1, 1
Let u(t) be the second derivative of -t**5/5 - 14*t**4/3 - 70*t**3/3 - 44*t**2 - 203*t. Let u(a) = 0. Calculate a.
-11, -2, -1
Let l be (10 - 6)/((-2)/(-8) + (-403)/(-52)). Factor 13/2*b**2 - 7/2*b**3 + l*b**4 - 9 + 3/2*b.
(b - 3)**2*(b - 2)*(b + 1)/2
Suppose -4*w + 24 = -5*o + 14, -5*w = 3*o + 6. Let j(r) be the first derivative of 2/5*r**2 + w*r - 1 - 2/15*r**3. Factor j(a).
-2*a*(a - 2)/5
Let f(p) be the first derivative of -2*p**5/5 + 4*p**4 - 32*p**3/3 - 88. Find h, given that f(h) = 0.
0, 4
Let g(f) be the second derivative of f**6/24 + f**5/6 - 5*f**4/24 - 5*f**3/3 + f**2/2 - 38*f. Let i(s) be the first derivative of g(s). Factor i(w).
5*(w - 1)*(w + 1)*(w + 2)
Let h = -31 - -37. Suppose -2*l + 0*l = -h*l. Factor 3/2 - 3/2*q**2 + l*q.
-3*(q - 1)*(q + 1)/2
Let d(g) be the third derivative of g**6/40 - g**4/8 + g**2 + 7. Determine y so that d(y) = 0.
-1, 0, 1
Suppose 5*a = 4*n + 25 + 18, -4*a - 16 = 4*n. Suppose 14/17*q**a + 8/17*q + 0 - 32/17*q**2 = 0. Calculate q.
0, 2/7, 2
Let j(i) = i**3 + 9*i**2 + i + 11. Let v be j(-9). Suppose y - v*y = -3. Solve -2 + 65*d**y + 2*d**4 - 57*d**3 + 4*d**4 - 8*d - 4*d**2 = 0.
-1, -1/3, 1
Let u(t) be the second derivative of 3*t**5/20 - t**4/36 + 123*t. Solve u(k) = 0.
0, 1/9
Let t be 1*46/6*3. Suppose -2*n + t - 17 = 0. Suppose n*o**2 + 0 + 3/2*o**4 + 3/4*o + 15/4*o**3 = 0. What is o?
-1, -1/2, 0
Let d = -15 - -17. Let i be (d/(-25))/(((-12)/(-30))/(-2)). Factor 2/5*b**2 + i*b + 0.
2*b*(b + 1)/5
Let v(k) be the second derivative of -k**5/20 + k**4/12 + 3*k**2/2 - 25*k. Let w be v(0). Factor -w - 16/3*t**2 + 8*t.
-(4*t - 3)**2/3
Let d be (2/(-54))/(2/6)*-3. Let g(o) be the third derivative of 0 + 0*o - 9*o**2 - 1/10*o**5 - 1/4*o**4 - 1/60*o**6 - d*o**3. Let g(v) = 0. Calculate v.
-1
Let f = 2/271 + 15443/542. Factor -9/2*n**5 + 2 + 39/2*n**4 - 67/2*n**3 + f*n**2 - 12*n.
-(n - 1)**3*(3*n - 2)**2/2
Determine t, given that 52*t**4 - 7*t - 102*t**4 - 60*t**3 + 108*t**2 - 41*t - 4*t + 54*t**4 = 0.
0, 1, 13
Factor -2/15*r**2 - 34/5 + 104/15*r.
-2*(r - 51)*(r - 1)/15
Let m(n) be the first derivative of 5*n**4/14 - 2*n**3/21 - 20*n**2/7 + 8*n/7 - 20. Find v, given that m(v) = 0.
-2, 1/5, 2
Let b(c) = -20*c**2 + 235*c - 7442. Let t(i) = 9*i**2 - 118*i + 3721. Let p(x) = 4*b(x) + 9*t(x). Factor p(y).
(y - 61)**2
Let b(h) = 10*h**2 - 67*h + 57. Let z(n) = -3*n**2 + 22*n - 19. Let p(d) = -6*b(d) - 21*z(d). Factor p(o).
3*(o - 19)*(o - 1)
Factor 25*n**2 - 49/2*n + 0 - 1/2*n**3.
-n*(n - 49)*(n - 1)/2
Let p = 1146 + -1143. Factor -3/2*h**2 + 12 + p*h.
-3*(h - 4)*(h + 2)/2
Suppose 1 = 3*i + n, -5*i + n + 20 = 5. Factor -w + 2 - w + 15*w - 8 + 5*w**i.
(w + 3)*(5*w - 2)
Let r(h) be the third derivative of 49/30*h**5 + 0*h - 7/2*h**4 + 3*h**3 - 11*h**2 + 0. Factor r(c).
2*(7*c - 3)**2
Let y(a) be the third derivative of -a**8/672 - a**7/42 - 2*a**6/15 - 4*a**5/15 + 76*a**2. Factor y(x).
-x**2*(x + 2)*(x + 4)**2/2
Let w(x) be the second derivative of -100*x**7/69 + 89*x**6/69 + 287*x**5/230 - 11*x**4/138 - 19*x**3/69 - 2*x**2/23 - 698*x. Suppose w(v) = 0. Calculate v.
-1/4, -1/5, 2/7, 1
Find w, given that 8041*w**2 - 14*w - w**3 - 12*w - 16 - 8052*w**2 = 0.
-8, -2, -1
Let g be 19/95 - (-18)/10. Factor -15*j**4 - 3*j**5 - 24*j**3 - g*j**3 + 5*j**3 - 9*j**2.
-3*j**2*(j + 1)**2*(j + 3)
Let j(n) = -1 + 7*n**3 + 13*n**3 - 16*n**2 + 7*n - 4. Let h(a) = -15*a**2 + 0*a - 1 + 2 - 5 + 6*a + 19*a**3. Let x(d) = -5*h(d) + 4*j(d). Factor x(l).
-l*(3*l - 1)*(5*l - 2)
Let b(i) = 13*i**2 - i. Let w(d) = -14*d**2 - 846*d - 284. Let n(k) = 2*b(k) + w(k). Factor n(g).
4*(g - 71)*(3*g + 1)
Let q(m) be the first derivative of m**6/36 - m**5/10 - m**4/6 + 2*m**3/3 + 197. Factor q(y).
y**2*(y - 3)*(y - 2)*(y + 2)/6
Let g(t) be the first derivative of -t**6/1800 + t**4/120 - 13*t**3/3 - 2. Let v(n) be the third derivative of g(n). Suppose v(w) = 0. Calculate w.
-1, 1
Let v = -9 - -14. Let w = 8 - v. Determine f, given that -18*f**5 - 3*f - 14*f**w - 3*f**2 + 3*f + f**2 - 30*f**4 = 0.
-1, -1/3, 0
Let d be -6 - (-104 - -108 - 3*(-168)/(-45)). Let -d*p**2 + 4/5*p + 0 + 2/5*p**3 = 0. What is p?
0, 1, 2
Let c(a) = a**3 - 3*a**2 - 3*a + 11. Let z be c(3). Find w such that 1 - 12*w**4 + 0*w**z - 6 + 36*w**2 - 11 + 8*w**3 = 0.
-1, 2/3, 2
Let y(k) be the second derivative of -k**7/84 + k**6/4 - 67*k**5/40 + 43*k**4/8 - 28*k**3/3 + 9*k**2 + 3*k + 8. Find b such that y(b) = 0.
1, 2, 9
Let k(s) be the second derivative of s**4/60 - 16*s**3/15 + 128*s**2/5 + 6*s + 12. Find f, given that k(f) = 0.
16
Let b(p) = 4*p**3 + 12*p**2 + 5*p - 21. Let d(q) = -4*q**3 - 12*q**2 - 4*q + 20. Let c(m) = 4*b(m) + 5*d(m). Factor c(n).
-4*(n - 1)*(n + 2)**2
Let f(h) = 55*h**2 - 85*h + 20. Let l(a) = -53*a**2 + 82*a - 21. Let r(t) = -4*f(t) - 5*l(t). Factor r(p).
5*(p - 1)*(9*p - 5)
Let g(y) = -y**2 - 3*y - 3. Let n(p) = p + 1. Let r(j) = -j**2 + 1. Let o = 15 + -17. Let q be r(o). Let m(z) = q*g(z) + 3*n(z). Factor m(w).
3*(w + 2)**2
Let d(f) be the third derivative of 0*f**7 - 11*f**2 + 0*f + 0 - 1/2352*f**8 - 1/24*f**4 + 1/70*f**5 - 1/7*f**3 + 1/105*f**6. Find s such that d(s) = 0.
-2, -1, 1, 3
Let i = -134 - -48. Let j = i - -89. Suppose 1568/3*o**4 - 34*o**2 + 343*o**5 - 8/3 - 68/3*o + 497/3*o**j = 0. What is o?
-1, -2/7, 1/3
Suppose 17 = -5*a + 2. Let z(m) = m**2 + 8*m - 6. Let p(t) = 2*t**2 + 9*t - 5. Let f(b) = a*z(b) + 2*p(b). Suppose f(r) = 0. Calculate r.
2, 4
Let y(n) = 9*n**3 + 3*n**2 + 6*n + 6. Let i(k) = -26*k**3 - 10*k**2 - 18*k - 17. Let a = -5 + 22. Let h(z) = a*y(z) + 6*i(z). Solve h(u) = 0.
-2, -1, 0
Let m be 3/(-2) + -7 + 10. Factor 3/2*z**3 + 0 + 0*z - m*z**2.
3*z**2*(z - 1)/2
Suppose -4*h - h = -n + 5, -2*n + 10 = 2*h. Let s(j) be the second derivative of h*j**2 + 10*j + 7/6*j**6 - 9/4*j**5 + 0*j**3 + 0 + 5/6*j**4. Factor s(w).
5*w**2*(w - 1)*(7*w - 2)
Let k(d) = 12*d**4 - 99*d**3 - 97*d**2 + 7*d + 7. Let x(q) = -5*q**4 + 50*q**3 + 49*q**2 - 3*q - 3. Let y(o) = -3*k(o) - 7*x(o). Find h, given that y(h) = 0.
-52, -1, 0
Suppose -10*u - 4*u = -84. Let l be -1*u + 342/54. Find n, given that 0 + 1/3*n**2 - l*n = 0.
0, 1
Let t(p) be the third derivative of 5*p**8/336 - p**7/15 + p**6/60 + 4*p**5/15 - 7*p**4/24 - p**3/3 - 33*p**2. Solve t(w) = 0.
-1, -1/5, 1, 2
Let k(r) be the first derivative of 4*r**3/3 + 28*r**2 - 128*r + 65. Factor k(j).
4*(j - 2)*(j + 16)
Let q be ((-270)/(-42) - 6)/1. Factor 0 - q*u**4 - 27/7*u**3 - 48/7*u - 72/7*u**2.
-3*u*(u + 1)*(u + 4)**2/7
Let a(x) = x**2 + 14*x - 12. Let z be a(-15). Suppose -5*j + 2*s - 17 = -7, 0 = -5*j + s - 5. Factor 1/2*i**2 + 0*i - 1/2*i**z + j.
-i**2*(i - 1)/2
Let f = -80218/7 + 11486. What is o in -f*o - 120/7*o**2 - 32/7 - 14*o**4 + 62*o**3 = 0?
-2/7, 1, 4
Let 1/2*t**3 + 9*t**2 + 47/2*t + 15 = 0. What is t?
-15, -2, -1
Factor 2/7*j**2 + 32/7*j + 0.
2*j*(j + 16)/7
Suppose 6*t + 6 =