f(y). Factor w(x).
(x - 2)*(x + 1)*(x + 2)/3
Let n(b) be the first derivative of 1/5*b**3 - 3/10*b**2 - 15 - 6/5*b. Suppose n(o) = 0. Calculate o.
-1, 2
Factor 5/3*i**3 + 145/3*i + 100/3 + 50/3*i**2.
5*(i + 1)*(i + 4)*(i + 5)/3
Let a(g) be the second derivative of 0*g**3 + 3/20*g**5 + 0*g**2 + 27*g + 0 + 1/4*g**4. Factor a(h).
3*h**2*(h + 1)
Let x(u) be the third derivative of u**9/7560 - u**8/960 + u**7/630 + u**6/180 - u**4/24 + 9*u**2. Let g(m) be the second derivative of x(m). Solve g(l) = 0.
-1/2, 0, 2
Suppose 4*y - 16 = -4*r, -9*y + 20 = 3*r - 4*y. Factor -4/3*q**2 - 2/3*q**3 + 0*q + r.
-2*q**2*(q + 2)/3
Let i(d) = 2 + 13*d**3 - 9*d**3 - 5 - 2*d**3 - 5*d**5. Let a(x) = -x**3 - 1. Let c(j) = 3*a(j) - i(j). Factor c(s).
5*s**3*(s - 1)*(s + 1)
Let z = 19 - 26. Let a = z + 13. Let a + 20 - 6 - 5*x**2 = 0. What is x?
-2, 2
Let w(n) be the third derivative of 3/20*n**6 + 0*n**3 + 1/70*n**7 + 0*n + 3/5*n**5 + n**4 + 0 - 31*n**2. Find r, given that w(r) = 0.
-2, 0
Let g = 9/76 + 5/38. Let j(r) be the third derivative of 0 - 5*r**2 + 0*r - 2/3*r**3 - 1/30*r**5 - g*r**4. Find z such that j(z) = 0.
-2, -1
Let x be (-71)/(-7) - 2/14. Determine w, given that 197*w - 18*w**2 - x*w**2 - 209*w = 0.
-3/7, 0
Determine k, given that -3772*k**4 + 3372*k**4 + 10062*k**3 + 4*k**5 - 62*k**3 = 0.
0, 50
Let b(n) be the second derivative of n**8/480 + 4*n**7/315 + n**6/90 + 23*n**4/12 + 9*n. Let x(r) be the third derivative of b(r). Factor x(q).
2*q*(q + 2)*(7*q + 2)
Let m(g) be the second derivative of -1/16*g**4 + 0*g**2 + 0*g**3 + 1/40*g**6 + 0 - 6*g + 3/80*g**5 - 1/56*g**7. Determine c, given that m(c) = 0.
-1, 0, 1
Suppose -176953 - 1071*t + 73373 + 314*t - 228196 - 1547*t - 4*t**2 = 0. What is t?
-288
Let m(c) = -7*c**2 + 5*c - 2. Let s(y) = 15*y**2 - 9*y + 4. Let v(a) = -5*m(a) - 2*s(a). Factor v(n).
(n - 1)*(5*n - 2)
Suppose -3*v + 4*c + 37 = -13, -5*c - 15 = v. Suppose 0*r + 5*r - v = 0. Factor -4*i**3 + 8*i - 3*i**r + 0*i**2 - i**2 - 8*i**3.
-4*i*(i + 1)*(3*i - 2)
Let m(z) be the first derivative of 0*z - 8 - 2/5*z**2 + 14/15*z**3 - 3/10*z**4. Determine c so that m(c) = 0.
0, 1/3, 2
Determine b, given that 100/7 + 169/7*b**4 - 180*b + 3709/7*b**2 + 234*b**3 = 0.
-5, 2/13
Suppose 2 = 4*d - 34. Let p = d - 4. Factor 3 + 17*v**4 + 48*v**2 + v**4 + 42*v**3 + 3 + 27*v + 3*v**p.
3*(v + 1)**4*(v + 2)
Let u(f) = 187*f + 6174. Let v be u(-33). Determine x so that 0 + 3*x - 5/2*x**2 + 1/2*x**v = 0.
0, 2, 3
Let o be 10 + -6*(-1)/(-2). Find s, given that o*s - 7*s - 2*s**3 + 2*s**2 = 0.
0, 1
Let w = 1657/3 - 66277/120. Let r(l) be the third derivative of l**3 - 8*l**2 + 0*l**5 - w*l**6 + 3/8*l**4 + 0 + 0*l. Solve r(x) = 0 for x.
-1, 2
Let s(u) be the second derivative of -25*u**7/28 - 8*u**6 - 549*u**5/20 - 44*u**4 - 121*u**3/4 - 53*u + 3. Solve s(w) = 0 for w.
-11/5, -1, 0
Let y(k) be the third derivative of -k**6/600 + 11*k**5/100 - 121*k**4/40 + 13*k**3/2 + 4*k**2. Let x(w) be the first derivative of y(w). Factor x(f).
-3*(f - 11)**2/5
Let y(z) be the second derivative of -z**9/20160 + z**8/4480 - z**7/3360 + 5*z**4/6 + 12*z. Let s(a) be the third derivative of y(a). Factor s(n).
-3*n**2*(n - 1)**2/4
Suppose 0 = 24*j + 74 - 194. Let k be -5 + (10 - 0) + j + -10. Factor k*i**2 + 14/5*i**4 + 0*i - 4/5*i**3 + 0 - 2*i**5.
-2*i**3*(i - 1)*(5*i - 2)/5
Let i(a) be the first derivative of -3*a**5/5 + 4*a**4 + 13*a**3 - 12*a**2 - 28*a + 8. Suppose i(l) = 0. What is l?
-2, -2/3, 1, 7
Let a be 5 + -3 + (-2 - -2). Suppose a*w - 5 = -1. Factor -2*k**2 - 6*k - 3*k**2 + 17*k**2 - w*k**2 - 4.
2*(k - 1)*(5*k + 2)
Let c(k) be the second derivative of 0 - 1/11*k**3 + 18*k + 3/110*k**5 - 2/11*k**2 + 1/165*k**6 + 1/66*k**4. Determine y, given that c(y) = 0.
-2, -1, 1
Let t be (-16)/(-7) + (-5)/((-140)/(-8)). Let -6/7*z**t + 2*z - 4/7 = 0. What is z?
1/3, 2
Let j(x) be the third derivative of -x**5/480 + 5*x**4/192 - x**3/8 + 147*x**2. Factor j(d).
-(d - 3)*(d - 2)/8
Factor -45/4*f + 5/4*f**3 - 5/2*f**2 + 45/2.
5*(f - 3)*(f - 2)*(f + 3)/4
Let y(f) = f**3 + 18*f**2 - 23*f - 73. Let z be y(-19). Factor -3*w**2 + 9/4*w**4 + 0*w**z + 0 + 0*w - 3/4*w**5.
-3*w**2*(w - 2)**2*(w + 1)/4
Let b(y) be the first derivative of -2/3*y**3 - 12*y**2 - 72*y + 18. Let b(d) = 0. What is d?
-6
Let k(g) be the third derivative of g**8/336 - 2*g**7/35 - 23*g**6/60 + g**5/5 + 15*g**4/8 + 129*g**2. Determine y so that k(y) = 0.
-3, -1, 0, 1, 15
Let f(q) = -q**3 - 17*q**2 - 65*q + 54. Let m be f(-10). Solve 8/11*p**3 + 0*p**2 + 2/11*p**5 + 0 - 8/11*p**m + 0*p = 0 for p.
0, 2
Let w(q) be the second derivative of 0*q**3 + 0*q**2 + 0 + 2*q - 1/42*q**4. Solve w(v) = 0 for v.
0
Let x(g) be the first derivative of g**7/840 - g**6/60 + 3*g**5/40 - 8*g**3/3 - 3. Let s(n) be the third derivative of x(n). Determine h so that s(h) = 0.
0, 3
Let i(j) be the third derivative of 5/18*j**4 - 2/9*j**3 + 22*j**2 - 17/180*j**5 + 1/90*j**6 + 0*j + 0. Find u, given that i(u) = 0.
1/4, 2
Let k(l) be the third derivative of l**5/60 + l**4/24 - l**3/3 + l**2. Let x be k(2). Determine y, given that 9*y**2 + 3*y**3 - 7*y**2 - 3*y**4 + x*y**2 = 0.
-1, 0, 2
Let z be (-6)/(-9)*(-9)/(-2). Factor 4*w**2 + 15*w**3 + 16*w + 18*w**3 - 16 - 37*w**z.
-4*(w - 2)*(w - 1)*(w + 2)
Let l be (-8)/(-5 + (3 - -4)). Let d be ((l + 4)/(-4))/(-1 + 0). What is r in 2/3 + 1/2*r**4 + d*r + 1/6*r**3 - 7/6*r**2 - 1/6*r**5 = 0?
-1, 1, 2
Let h(f) = f**3 + f + 3. Let b be h(0). Let c be b/(-18) - (-60)/72. What is n in -4/9*n**3 + c*n**2 - 2/9 + 0*n = 0?
-1/2, 1
Find n, given that 286*n**2 - 291*n**2 - 40*n - 6 - 29 = 0.
-7, -1
Let c(n) = 54*n**4 - 37*n**3 - 5*n**2 - 4*n. Let m(k) = 53*k**4 - 39*k**3 - 5*k**2 - 3*k. Let j(l) = 3*c(l) - 4*m(l). Factor j(u).
-5*u**2*(u - 1)*(10*u + 1)
What is l in 111 + 57*l - 21 - 3767*l**3 - 30*l**2 + 3770*l**3 = 0?
-1, 5, 6
Suppose -18*c + 52/3 + 2/3*c**2 = 0. Calculate c.
1, 26
Let i = -21767/13 - -1675. Factor -6/13 - 2/13*m**2 - i*m.
-2*(m + 1)*(m + 3)/13
Let x(h) be the third derivative of 8*h**2 + 1/24*h**4 + 0*h + 0 - 1/20*h**5 + 1/3*h**3. Find b such that x(b) = 0.
-2/3, 1
Factor 11/7*z**2 + 13/7*z + 2/7.
(z + 1)*(11*z + 2)/7
Let t(c) be the third derivative of -13*c**7/1120 + 11*c**6/480 + c**5/80 - 3*c**3/2 + 13*c**2. Let p(i) be the first derivative of t(i). Factor p(g).
-3*g*(g - 1)*(13*g + 2)/4
Suppose 6*u + s + 8 = 9*u, 2*u + 3*s = 9. Let k = -137/3 - -46. Factor 1/6*v**u + 0 + k*v**2 + 1/6*v.
v*(v + 1)**2/6
Let x(c) be the second derivative of c**6/180 + 23*c**3/6 + 6*c. Let u(m) be the second derivative of x(m). Factor u(s).
2*s**2
Suppose -4*r + 3*y + 18 = 0, 0*y - 4*y = 4*r - 4. Find k, given that -2*k**3 - r*k**3 + 4*k**3 + 276*k**2 - 266*k**2 = 0.
0, 10
Let r(b) be the first derivative of 16*b - 22 + 10*b**2 - 28/3*b**3 - 2*b**4. Solve r(s) = 0 for s.
-4, -1/2, 1
Suppose 5*o - 2*s = 0, s - 1 = 4. Suppose -8*v**o + 3*v**2 - 4*v - 7*v**2 = 0. Calculate v.
-1/3, 0
Suppose 3*f = -2*f. Suppose f = q - 0 - 3. Factor 4*p**2 - 2*p**4 - 4*p**4 - 9*p**q - p**2 - 6*p**4.
-3*p**2*(p + 1)*(4*p - 1)
Let j be (39/78)/(30/4). Let t(h) be the third derivative of 3*h**2 + 0*h**4 + 0*h + 0*h**3 + 1/20*h**6 - j*h**5 + 0. Solve t(b) = 0 for b.
0, 2/3
Let x(y) be the third derivative of y**6/600 - y**5/300 - y**4/60 - y**2 - 98. Determine j so that x(j) = 0.
-1, 0, 2
Suppose -c = -2*c + 2. Suppose -c*j - j - 1 = -5*h, -5*h = -4*j + 2. Find f such that 3*f**3 - 5*f - f**h - 3 + 0 - 2*f**3 + 0 = 0.
-1, 3
Let z = 145/548 + -2/137. Suppose -2*u - 4*x = -26 + 40, -22 = u + 5*x. Factor -z*g**u + 0 + 1/4*g + 0*g**2.
-g*(g - 1)*(g + 1)/4
Suppose 3*u - 6*u - 9*u = 0. Let 0*c**2 + u*c + 2/3*c**3 + 0*c**4 - 2/3*c**5 + 0 = 0. What is c?
-1, 0, 1
Let i(a) be the first derivative of -a**3 - 60*a**2 + 123*a - 113. Find o such that i(o) = 0.
-41, 1
Let z(c) be the third derivative of -c**7/2520 - c**6/540 + 7*c**5/360 - c**4/18 + 7*c**3/6 - c**2. Let w(o) be the first derivative of z(o). Factor w(m).
-(m - 1)**2*(m + 4)/3
Let l(t) be the second derivative of -t**4/3 + 40*t**3/3 - 200*t**2 - 18*t + 1. Let l(x) = 0. What is x?
10
Let t(s) be the second derivative of s**5/5 + 10*s**4/3 - 8*s**3/3 - 80*s**2 - 6*s + 3. Let t(v) = 0. Calculate v.
-10, -2, 2
Suppose -16*m - 6 - 20 = -29*m. Solve 16/3*f - 8/3 + 2/3*f**3 - 10/3*f**m = 0 for f.
1, 2
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