 3*s**2 + 18*s**5 = 0.
-1, 0, 2/3
Let g(d) be the first derivative of -d**4/12 + 2*d**3/9 - d**2/6 + 158. Let g(v) = 0. What is v?
0, 1
Factor -7 + 34 - 11 - 18*g - 4*g**2 + 6*g.
-4*(g - 1)*(g + 4)
Let f = 45298 - 316025/7. Let t = f + -151. Factor t*l**2 + 0 - 8/7*l.
4*l*(l - 2)/7
Let t = 2 + 13. Suppose -3*h + 12 = 3*d, -2*h - t = -2*d + 3*h. Factor 0*z**4 + 0 - 2/5*z + 0*z**2 - 2/5*z**d + 4/5*z**3.
-2*z*(z - 1)**2*(z + 1)**2/5
Let j(p) be the second derivative of p**4/30 - 13*p**3 + 194*p**2/5 + 583*p + 1. Factor j(v).
2*(v - 194)*(v - 1)/5
Let u(t) = -t**5 + 16*t**4 + 8*t**3 - 16*t**2 - 17*t + 5. Let r(w) = -w**5 - w + 1. Let k = 69 - 74. Let y(b) = k*r(b) + u(b). Factor y(v).
4*v*(v - 1)*(v + 1)**2*(v + 3)
Factor -2*z**4 + 29*z**2 - 77*z**2 - 32 - 36728*z - 38*z**3 + 36630*z - 54*z**2.
-2*(z + 1)**3*(z + 16)
Let c(z) be the first derivative of 9*z**5/140 - 5*z**4/28 + z**3/7 - 5*z - 11. Let o(q) be the first derivative of c(q). Factor o(n).
3*n*(n - 1)*(3*n - 2)/7
Let w be 81/15 + 8/(-20). Let y(u) = 4*u**3 - 2*u + 2. Let r(i) = -i**5 - 9*i**3 + 5*i - 5. Let d(q) = w*y(q) + 2*r(q). What is o in d(o) = 0?
-1, 0, 1
Suppose -4*x + 22 = 10. Let g = 49/2 - 24. Determine a, given that -1/2*a**2 - 3/2*a**x + 3/2*a - g*a**4 + 1 = 0.
-2, -1, 1
Factor -5*h**2 - 11*h**2 + 956*h - 10*h**3 - 936*h - 30*h**2.
-2*h*(h + 5)*(5*h - 2)
Let s(w) = w**3 + 3*w**2 - 4*w + 2. Let h be s(-4). Let f be (12/24)/(h/8). Solve -p**f + 2*p + p + 0*p**2 - 6 + 4*p**2 = 0.
-2, 1
Let w be 9/(-3) + (155/15 - 7). Let f(c) be the first derivative of -w*c**2 + 1/9*c**3 + 0*c + 1/12*c**4 + 6. Factor f(a).
a*(a - 1)*(a + 2)/3
Let s be -23 + 17 + 4 + -2*5/(-4). Suppose -z + 0 - s*z**2 = 0. Calculate z.
-2, 0
Factor -4/7*a**2 - 14400/7 + 480/7*a.
-4*(a - 60)**2/7
Let b(x) be the second derivative of -1/19*x**2 - 1/38*x**4 - 1/190*x**5 - 10*x - 1/19*x**3 + 0. Factor b(r).
-2*(r + 1)**3/19
Let f(s) be the first derivative of -s**9/3024 + s**8/1680 + s**7/840 - s**6/360 - 3*s**3 + 6. Let p(c) be the third derivative of f(c). Factor p(w).
-w**2*(w - 1)**2*(w + 1)
Let c(k) be the third derivative of k**6/420 + 2*k**5/105 - 4*k**4/21 - 64*k**3/21 - 43*k**2. Determine t so that c(t) = 0.
-4, 4
Let o(g) be the third derivative of 0*g - 15*g**3 + 8*g**2 + 1/24*g**6 + 0 - 2/3*g**5 + 35/8*g**4. Suppose o(x) = 0. What is x?
2, 3
Let n(x) = 2*x + 10. Let d be n(-9). Let u be (d/(-9))/4 - 43/(-9). Factor -34/5*j**3 + 0 + 16*j**4 + 4/5*j**2 - 32/5*j**u + 0*j.
-2*j**2*(j - 2)*(4*j - 1)**2/5
Let x(t) be the first derivative of 2*t**6 - 32*t**5 - 91*t**4/3 + 1144*t**3/27 + 232*t**2/9 - 224*t/9 - 77. Find w such that x(w) = 0.
-1, -2/3, 1/3, 2/3, 14
Let p(z) = z**3 - 19*z**2 - 23*z + 27. Let l be p(20). Let q = 36 + l. Find k such that -3/5*k**2 + 1/5*k**q + 0*k + 4/5 = 0.
-1, 2
Let u(m) = 3*m**2 - 1. Let g(l) = 11*l**2 - 14*l - 28. Let p(s) = -g(s) + 4*u(s). Factor p(n).
(n + 2)*(n + 12)
Let h(q) = q**2 + q - 1. Let x(i) = i**4 + 2*i**3 - 3*i**2 - 4*i + 2. Let l(a) = -2*h(a) - x(a). Factor l(d).
-d*(d - 1)*(d + 1)*(d + 2)
Let z(r) be the first derivative of -2/3*r**3 - 2/3*r**2 - 2/9*r**4 - 2 - 2*r. Let o(j) be the first derivative of z(j). Let o(t) = 0. What is t?
-1, -1/2
Solve 0*w + 25/4*w**2 + 0 + 5/4*w**3 = 0 for w.
-5, 0
Suppose -g - 2*g + 12 = 0. What is d in 28 - 3*d**g + 30*d**2 + 2 - 87*d - 21*d**3 + 43*d**2 + 8*d**2 = 0?
-10, 1
Let t(q) = q**3 - 8*q**2 + 10*q - 21. Let l be t(7). Let c(u) be the second derivative of l*u**3 + 0*u**2 + 1/24*u**4 + 3*u + 0. Let c(f) = 0. What is f?
0
Let t be -1*(2 + (0 - 3)). Let v(z) = z + 1. Let p(r) = 3*r**2 - r - 4. Let u(f) = t*p(f) + 4*v(f). Factor u(j).
3*j*(j + 1)
Let a(j) = -j. Let m(o) = -120*o**2 + 277*o - 122. Let p(x) = a(x) + m(x). Let f(b) = -11*b**2 + 25*b - 11. Let u(h) = -68*f(h) + 6*p(h). Solve u(d) = 0 for d.
4/7, 1
Suppose -2*i + 78 = 70. Let j(x) be the third derivative of 7/8*x**i - 1/5*x**5 + x**3 + 0 + 0*x + 4*x**2. Determine d so that j(d) = 0.
-1/4, 2
Let v = -3163 - -12739/4. Let y = 93/4 - v. Factor 0 - 3/4*n**4 + 0*n + y*n**2 - 3/4*n**3.
-3*n**2*(n - 1)*(n + 2)/4
Let b = -1149 - -1151. Let p(v) be the first derivative of -1 - 1/3*v**3 - 1/2*v**b + 0*v. Factor p(a).
-a*(a + 1)
Let d(h) be the first derivative of 3/4*h - 11 - 1/4*h**3 + 0*h**2. Solve d(c) = 0 for c.
-1, 1
Let d = 1231 - 3691/3. Factor 2/3*a**3 + 0*a - d*a**2 + 2/3*a**4 + 0 - 2/3*a**5.
-2*a**2*(a - 1)**2*(a + 1)/3
Let m = 17 - 457/27. Let o(h) be the second derivative of 1/9*h**2 + 1/54*h**4 + 5*h + 0 + m*h**3. Factor o(c).
2*(c + 1)**2/9
Let s(o) be the third derivative of o**5/60 + o**4/6 + 2*o**3/3 - 178*o**2. What is i in s(i) = 0?
-2
Suppose 38*i = 37*i + 309. Factor i*t**2 - t - 3*t**3 - 309*t**2 + 4*t.
-3*t*(t - 1)*(t + 1)
Let k = -54116/3 + 18046. Factor -9*w**2 - k*w - 25/6*w**3 - 4/3 - 2/3*w**4.
-(w + 2)**3*(4*w + 1)/6
Let m(k) = 3*k**5 - 5*k**4 - 13*k**3 + 9*k**2 + 4*k + 2. Let i(t) = t**3 - 1. Let j(v) = 6*i(v) + m(v). Let j(q) = 0. Calculate q.
-1, 2/3, 1, 2
Let l(i) be the first derivative of i**6/21 - 16*i**5/35 + 6*i**4/7 + 4*i**3/21 - 13*i**2/7 + 12*i/7 + 113. Factor l(o).
2*(o - 6)*(o - 1)**3*(o + 1)/7
Let p(c) be the first derivative of 2*c**3/9 - 52*c**2/3 + 1352*c/3 + 68. Factor p(q).
2*(q - 26)**2/3
Let b be 57/36 + (-140)/105. Find h, given that -b*h**2 + 0 + 1/4*h = 0.
0, 1
Suppose -6*d + 2*d + 16 = 0. Suppose -2*b + 24 + 30 = -2*l, -d*b = -l - 93. Factor 3*v**2 + b + 3*v - 22.
3*v*(v + 1)
Let x(s) be the first derivative of 20/7*s**2 - 6/7*s - 14 - 4*s**4 - 32/35*s**5 - 34/21*s**3. Determine m, given that x(m) = 0.
-3, -1, 1/4
Let d be ((-276)/32)/(1/2*91). Let o = 5/52 - d. Solve 4/7*l**3 - 2/7*l**5 + 0*l**2 + 0*l**4 - o*l + 0 = 0.
-1, 0, 1
Let 2*c**2 + c + 5/4*c**3 + 1/4*c**4 + 0 = 0. Calculate c.
-2, -1, 0
Let c(q) = 3*q**2 - 3*q - 12. Let z(n) = -3*n**2 + 4*n + 11. Let k(g) = -3*g + 13. Let t be k(5). Let o(b) = t*c(b) - 3*z(b). Factor o(i).
3*(i - 3)*(i + 1)
Let x(d) be the third derivative of d**5/30 - d**4/2 + 3*d**3 + 224*d**2. Let x(z) = 0. What is z?
3
Let c(d) = 21*d**2 + 36*d + 8. Let p(s) = 52*s**2 + 90*s + 20. Let o be ((-4)/(-6))/(2/(-15)). Let b(r) = o*p(r) + 12*c(r). Find z such that b(z) = 0.
-2, -1/4
Let o = -61 - -71. Let l(k) = k**2 - 10*k. Let u be l(o). Factor u*r + 0 + 1/5*r**2.
r**2/5
Let r(k) = -k**3 + 38*k**2 - 135*k - 32. Let t be r(34). Suppose 4/3*m**t + 2/3*m**3 - 2/3*m**4 + 0 + 0*m = 0. Calculate m.
-1, 0, 2
Let l(v) be the third derivative of -27*v**6/10 - 57*v**5/5 + 100*v**4/3 - 32*v**3 + 199*v**2. Factor l(m).
-4*(m + 3)*(9*m - 4)**2
Let l be 89*(-5)/180 + (-4)/(-18). Let k = l - -35/12. Solve -1/3*t**2 + 0*t + 0 + k*t**3 = 0.
0, 1/2
Suppose 0 = 24*c - 19*c + 810. Let q = 488/3 + c. Find a, given that q*a - a**2 - 1/3*a**3 - 1/3*a**5 + 0 + a**4 = 0.
-1, 0, 1, 2
Let f(b) be the second derivative of -b**7/1680 + b**6/240 - 3*b**4/2 - 9*b. Let n(c) be the third derivative of f(c). Determine z so that n(z) = 0.
0, 2
Let m be 9/2 + -4 + 51/(-6). Let v be (6/m)/(-3) + 33/12. Factor -1/2*u**v + 0*u + 1/4*u**4 + 1/4*u**2 + 0.
u**2*(u - 1)**2/4
Suppose -20*p + 85 = -3*p. Let v(c) be the third derivative of 0*c**6 - 1/8*c**4 - 1/10*c**p + 1/112*c**8 + 0 + 4*c**2 + 1/35*c**7 + 0*c + 0*c**3. Factor v(i).
3*i*(i - 1)*(i + 1)**3
Let o(s) be the second derivative of -s**5/60 - s**4/4 - s**3 - 359*s. Factor o(t).
-t*(t + 3)*(t + 6)/3
Suppose 954*i - 958*i + 12 = 0. Find y such that 2/5*y**5 + 8/5*y**2 + 4/5*y**4 - 14/5*y**i + 0*y + 0 = 0.
-4, 0, 1
Factor -118/7 - 114/7*r**2 + 234/7*r - 2/7*r**3.
-2*(r - 1)**2*(r + 59)/7
Let k(w) = w + 15. Let j be k(16). Let f = j + -29. Suppose 0*p - 1/4*p**3 - 1/4*p**4 + 1/4*p**5 + 1/4*p**f + 0 = 0. What is p?
-1, 0, 1
Let c = -917/4 - -6427/28. Factor 2/7*n - c*n**2 + 4/7.
-2*(n - 2)*(n + 1)/7
Let g = -252 - -253. Suppose c - 4*c + 12 = 0. Let p(f) = f**2 - f - 1. Let i(b) = b**2 + 4*b - 1. Let t(j) = c*p(j) + g*i(j). Determine a, given that t(a) = 0.
-1, 1
Let r = 5213 - 26064/5. Suppose -1/5*y**2 + 0 - 1/5*y**3 + 1/5*y + r*y**4 = 0. Calculate y.
-1, 0, 1
Let u(r) be the second derivative of r**7/210 - 7*r**6/150 + 9*r**5/50 - 11*r**4/30 + 13*r**3/30 - 3*r**2/10 - 2*r - 17. Factor u(t).
(t - 3)*(t - 1)**4/5
Let y(b) = 3*b**3 + 11*b**2 - 3*b + 8. Let u be y(-4). Determine w, g