c so that h(c) = 0.
-1, -1/4, 1, 2
Let x(k) = -k**3 + 8*k**2 - 6*k - 7. Let z(i) = i**2 - i. Let g(q) = -x(q) + 2*z(q). Let a be g(5). Determine f, given that 1/3*f**a + 0 + 0*f = 0.
0
Let y be (-8)/12 + 3 + -2. Let p(w) be the third derivative of 0*w - 1/60*w**5 + 0 - 1/24*w**4 + y*w**3 + 3*w**2. Solve p(d) = 0.
-2, 1
Let q(m) = m + 8. Let a be q(-8). Let t(r) be the first derivative of -1/10*r**4 - 2/5*r**3 + a*r + 1 - 2/5*r**2. Factor t(z).
-2*z*(z + 1)*(z + 2)/5
Factor -2/21*z**3 - 2/21*z + 4/21*z**2 + 0.
-2*z*(z - 1)**2/21
Let m(s) = -7*s**2 + s. Let x = 6 + -1. Let d(i) = 6*i**2 - i. Let c(l) = x*m(l) + 6*d(l). Factor c(g).
g*(g - 1)
Let x be ((-9)/3)/(-1 + 2). Let n = x - -5. Factor -5 - 6*t + 2*t**2 + 9 + 0*t**n.
2*(t - 2)*(t - 1)
Let f(q) be the first derivative of q**5/15 + q**4/4 + q**3/3 + q**2/6 + 24. Factor f(p).
p*(p + 1)**3/3
Let s(a) be the third derivative of -a**9/9450 - a**8/5600 + a**7/6300 + a**4/8 - a**2. Let q(j) be the second derivative of s(j). Let q(v) = 0. Calculate v.
-1, 0, 1/4
Solve 8*v**2 + 0*v + 9*v**3 - 5*v**3 + 4*v = 0 for v.
-1, 0
Let k(h) = 3*h**4 - 2*h**3 - h**2 - 4. Let u(l) = -l**4 + 1. Let n(g) = k(g) + 4*u(g). Find w, given that n(w) = 0.
-1, 0
Suppose 4*u + q - 5 = 60, -u = -3*q. Let z be u/3*3/5. Factor 2*m**3 - 5*m**4 - 10*m**2 + 16*m**z - 18*m + 2 - 6 + 19*m**4.
2*(m - 1)*(m + 1)**2*(7*m + 2)
Let s(z) be the third derivative of 0*z - 1/66*z**4 - 4*z**2 + 1/330*z**5 + 1/33*z**3 + 0. What is r in s(r) = 0?
1
Let a be 38/90 - (-46)/(-230). Factor -2/9*l + a*l**2 - 2/9 + 2/9*l**3.
2*(l - 1)*(l + 1)**2/9
Let j(b) = 4*b**5 - 3*b**3 - b + 5. Let l(i) = 7 + 5 - 2*i + 5*i**5 + 5*i**5 - 8*i**3. Let x(g) = -12*j(g) + 5*l(g). Suppose x(t) = 0. Calculate t.
-1, 0, 1
Let v = 1216/1309 - 24/119. Find q, given that -8/11 - 2/11*q**2 - v*q = 0.
-2
Factor 9/5*f**2 + 3/5*f**3 + 6/5*f + 0.
3*f*(f + 1)*(f + 2)/5
Let a(x) be the first derivative of x**6/16 + 3*x**5/40 - 9*x**4/32 - 5*x**3/8 - 3*x**2/8 - 44. Determine l so that a(l) = 0.
-1, 0, 2
Let y = 1891/297300 - 3/991. Let x(o) be the third derivative of 1/20*o**4 - y*o**6 + 0*o + 0*o**5 + o**2 + 2/15*o**3 + 0. Factor x(k).
-2*(k - 2)*(k + 1)**2/5
Let i(c) be the second derivative of -c**7/42 + c**6/15 - c**5/20 - 7*c. Factor i(l).
-l**3*(l - 1)**2
Let x(i) = -7*i**2 + 13*i - 16. Let q(z) = 8*z**2 - 12*z + 16. Let u(o) = -3*q(o) - 4*x(o). Factor u(s).
4*(s - 2)**2
Let r = 25 - 22. Suppose h**r + 0 + 1/3*h**4 + 1/3*h + h**2 = 0. What is h?
-1, 0
Let j = 11177/15 - 745. Let 2/15*y**3 - 4/15*y**5 + 2/5*y**4 - 2/5*y**2 + 0 + j*y = 0. Calculate y.
-1, 0, 1/2, 1
Let k(w) be the third derivative of -w**6/40 + w**4/8 + 14*w**2. Factor k(r).
-3*r*(r - 1)*(r + 1)
Suppose 4*i = v - i, -3*v - i = 0. Let t(h) be the second derivative of -1/21*h**3 - 3*h + 2/7*h**2 - 1/42*h**4 + v. Factor t(c).
-2*(c - 1)*(c + 2)/7
Factor 18/7*m**2 - 50/7 + 30/7*m + 2/7*m**3.
2*(m - 1)*(m + 5)**2/7
Let v = 4/37 + 120/259. Find c such that -v*c**4 + 0 - 4/7*c + 4/7*c**3 + 4/7*c**2 = 0.
-1, 0, 1
Let a be 3/4 + (-14)/21. Let x(s) be the second derivative of 1/20*s**5 - 1/6*s**3 + 0 + 2*s - a*s**4 + 1/30*s**6 + 0*s**2. Factor x(r).
r*(r - 1)*(r + 1)**2
Let y(a) be the third derivative of -a**10/252000 + a**8/16800 - a**6/1200 - a**5/20 - a**2. Let c(h) be the third derivative of y(h). Solve c(s) = 0 for s.
-1, 1
Let x = 13 + -8. Let h(a) be the third derivative of -a**2 + 0*a + 0*a**3 + 1/336*a**8 - 1/40*a**6 + 1/6*a**4 + 1/105*a**7 - 1/15*a**x + 0. Factor h(b).
b*(b - 1)**2*(b + 2)**2
Let n be (-1)/(-8) + 663/136. What is c in 3/2*c**4 + 0*c**3 + 3/2*c**n + 0*c + 0 + 0*c**2 = 0?
-1, 0
Let n(k) = -17*k**4 + 7*k**3 - 17*k**2 - 29*k + 12. Let d(h) = -9*h**4 + 3*h**3 - 9*h**2 - 15*h + 6. Let g(b) = -11*d(b) + 6*n(b). Factor g(w).
-3*(w - 2)*(w - 1)**2*(w + 1)
Let -x + 6*x**3 + 6*x - 9 + 15*x**2 - 17*x = 0. Calculate x.
-3, -1/2, 1
Let c be (-9)/(-12) + (-3)/4. Let f(r) be the third derivative of 0*r**4 + 0*r - r**2 + 0*r**3 - 1/360*r**6 + 0 + c*r**5. Let f(m) = 0. What is m?
0
Factor -17*q + 14*q - q**4 + 6*q**3 - 3*q**3 + 2 - q**2.
-(q - 2)*(q - 1)**2*(q + 1)
Let p = 5/14 + -111/350. Let c = 71/100 + p. Factor 0*o**4 - 1/2*o**2 + 0*o + c*o**3 + 0 - 1/4*o**5.
-o**2*(o - 1)**2*(o + 2)/4
Suppose 4*q + 0 = 12. Let 0*l**2 + l**2 - 9*l**2 + 7*l - q*l = 0. Calculate l.
0, 1/2
Solve -4/5*n + 12/5*n**2 - 11/5*n**3 + 3/5*n**4 + 0 = 0.
0, 2/3, 1, 2
Let h be (-1)/((-1)/4) + -1. Suppose -5*x = -22 + 2. Find r, given that -3/4*r**2 - 1/4*r**x + 0 + 3/4*r**h + 1/4*r = 0.
0, 1
Let h(y) be the second derivative of y**5/300 + y**4/60 + y**3/30 - y**2/2 - 6*y. Let i(t) be the first derivative of h(t). Suppose i(q) = 0. Calculate q.
-1
Let p(v) be the first derivative of -3*v**4/4 + 7*v**3 + 51*v**2/2 + 27*v + 33. Solve p(k) = 0.
-1, 9
Let b(x) be the first derivative of 2*x + 2/5*x**5 + 1 - 2*x**4 - 4*x**2 + 4*x**3. Find s such that b(s) = 0.
1
Let c(p) be the first derivative of p**6/15 - 4*p**5/25 + p**4/10 - 3. Factor c(z).
2*z**3*(z - 1)**2/5
Let o(y) = -65*y + 52 + 14*y**2 + 171*y - 3*y**3 + 21*y**3 + 58*y**2. Let l(s) = -37*s**3 - 144*s**2 - 211*s - 103. Let m(b) = 2*l(b) + 5*o(b). Factor m(i).
2*(2*i + 3)**3
Let i(o) = o**3 + 6*o**2 + 5*o + 4. Let b be i(-5). Let a be 4/(-18) + (-40)/(-18). Factor f**a + 3*f**3 - f - 2*f**4 + f**b - 2*f**3.
-f*(f - 1)**2*(f + 1)
Let a(q) be the second derivative of -2*q + 0*q**2 - 2/27*q**3 + 0 - 7/54*q**4. Find h such that a(h) = 0.
-2/7, 0
What is j in -5/3*j + 5/3*j**3 + 10/3*j**2 - 10/3 = 0?
-2, -1, 1
Let a(c) be the first derivative of c**8/280 - c**7/42 + c**6/20 - c**5/30 - c**3/3 - 6. Let y(i) be the third derivative of a(i). Factor y(g).
2*g*(g - 2)*(g - 1)*(3*g - 1)
Let c(q) = -q**2 + 10*q - 12. Let n(l) = 9 - 7*l + 3 - 4*l + 2*l. Let g(k) = 3*c(k) + 2*n(k). What is r in g(r) = 0?
2
Factor -4*v**4 - 2*v**2 + 11*v**4 + 4*v**3 - 9*v**4.
-2*v**2*(v - 1)**2
Let z(r) be the third derivative of -r**7/315 + r**6/30 - 2*r**5/45 - r**4/6 + 5*r**3/9 - 5*r**2 + 2*r. Determine d so that z(d) = 0.
-1, 1, 5
Let y(r) = -2*r**2 + 5*r - 3. Let t(w) = 3*w**2 - 8*w + 5. Suppose -3 + 9 = -2*z - 5*h, -z = -4*h + 16. Let a(d) = z*y(d) - 5*t(d). Factor a(v).
(v - 1)*(v + 1)
Suppose 4*x - 7 = 1. Let b(r) be the first derivative of -2*r - 7/2*r**2 + x + 3*r**3. Find u, given that b(u) = 0.
-2/9, 1
Let c be (-76)/(-3) + (-1)/3. Let q(b) = b**3 + 6*b**2 - 2. Let p be q(-3). Factor p - c + n**2 - n.
n*(n - 1)
Factor 4/9*k**2 + 0 - 2/9*k - 2/9*k**3.
-2*k*(k - 1)**2/9
Let y(n) = -2*n. Let x be y(-5). Let i = -7 + x. Let -5*a**i + 2*a**3 + a**2 + a**3 + a**4 = 0. Calculate a.
0, 1
Let l be (-6)/4 - 3864/(-16). Let f be 4/(-26) - l/(-39). Find s such that f*s - 49/4*s**3 + 1 + 21/4*s**2 = 0.
-2/7, 1
Let j = -1526/117 - -80/13. Let l = j - -562/45. Find k, given that -6/5*k**3 + 16/5 + l*k**2 - 8*k = 0.
2/3, 2
Let y(k) = -3*k**2 - 4*k - 4. Let i(t) = -t**2. Let l(b) = -2*i(b) + y(b). Suppose l(f) = 0. What is f?
-2
Let m(f) be the first derivative of 0*f**2 + 3 + 1/9*f**6 + 0*f + 2/9*f**3 - 2/15*f**5 - 1/6*f**4. Solve m(n) = 0 for n.
-1, 0, 1
Let a(d) = d**3 - 8*d**2 + 2. Let r be a(8). Let j = -7 + 9. Factor -x**3 - r*x**2 - x + 4*x**2 + 0*x**j.
-x*(x - 1)**2
Let g(x) be the third derivative of 3*x**2 - 1/105*x**7 + 0*x**3 + 0 + 0*x**6 + 0*x + 0*x**4 + 1/30*x**5. Find o, given that g(o) = 0.
-1, 0, 1
Let j(g) = 9*g**4 + 48*g**3 - 36*g**2 - 27*g + 48. Let v(t) = -2*t**4 - 12*t**3 + 9*t**2 + 7*t - 12. Let c(k) = 5*j(k) + 21*v(k). Factor c(z).
3*(z - 2)**2*(z - 1)*(z + 1)
Let c(l) = -2*l**2 - 10*l + 2. Let s be c(-5). Let i(q) be the first derivative of 2/9*q**4 + 2/45*q**5 - 3 + 4/9*q**s + 4/9*q**3 + 2/9*q. Factor i(u).
2*(u + 1)**4/9
Let s(p) be the third derivative of 0 - 1/4*p**4 - 1/30*p**5 - 2/3*p**3 + 0*p - 3*p**2. Factor s(d).
-2*(d + 1)*(d + 2)
Solve 7/2*t**4 + 2*t - 3/2*t**3 - t**5 + 0 - 4*t**2 = 0 for t.
-1, 0, 1/2, 2
Let s = 929 - 20765/22. Let f = -29/2 - s. Determine r, given that 2/11*r**2 - f*r + 2/11 = 0.
1
Let q(u) be the first derivative of -u**3/5 - 8. What is m in q(m) = 0?
0
Let z(i) be the second derivative of i**5/54 - i**4/36 - 2*i**3/27 + 3*i**2/2 + 3*i. Let h(c) be the first derivative of z(c). Factor h(g).
2*(g - 1)*(5*g + 2)/9
Let z be ((-2)/(-6))/(3/45). Suppose 3*u - 3