e z(f) = 0. Calculate f.
-1, 0
Let x(c) be the second derivative of 3*c**6/5 - 31*c**5/25 - 7*c**4/30 + 4*c**3/3 + 4*c**2/5 + 26*c. Solve x(i) = 0.
-2/5, -2/9, 1
Suppose 4 = -7*b + 9*b. Factor 0 + 3/5*l**b + 3/5*l.
3*l*(l + 1)/5
Suppose -1 = 2*z - 9. Suppose -11 = -z*j + 9. Factor 0*l**2 - 4/9*l**4 + 0*l + 0 - 2/9*l**3 - 2/9*l**j.
-2*l**3*(l + 1)**2/9
Let k(a) be the second derivative of a**7/77 - a**6/165 - 3*a**5/55 + a**4/33 + a**3/11 - a**2/11 + 5*a. Suppose k(b) = 0. What is b?
-1, 1/3, 1
Let w(z) = -14*z**2 - 3*z + 11. Let g(a) = -5*a**2 - a + 4. Let n(x) = -7*x**3 - 2*x**2 + 1. Let s be n(-1). Let f(l) = s*w(l) - 17*g(l). Factor f(i).
(i - 2)*(i + 1)
Suppose -2*w = 5*w - 2*w. Let y be (-33)/(-42) + 4/(-14). Let w*d**2 + 0*d - y*d**3 + 0 = 0. Calculate d.
0
Let s(j) = j**2 + 2*j + 1. Let n(b) be the first derivative of 2*b**3/3 + 2*b**2 + 2*b + 5. Suppose -5*o + 0*o = 25. Let a(i) = o*s(i) + 2*n(i). Factor a(p).
-(p + 1)**2
Let t(x) be the third derivative of x**7/945 - 2*x**6/135 + 7*x**5/270 - 8*x**2 - 3*x. Find m, given that t(m) = 0.
0, 1, 7
Let h(v) be the first derivative of -v**4 + 6 + 2/5*v**5 + 0*v**3 - 2*v + 2*v**2. Suppose h(m) = 0. What is m?
-1, 1
Suppose 2/5*f**3 + 0 - 26/5*f**2 + 0*f = 0. What is f?
0, 13
Let m = -4 + 6. Suppose -4*i - 2*i**3 - 1 + 3 - m*i**4 + 6*i**3 = 0. Calculate i.
-1, 1
Let o(u) = -72*u**2 - 80*u + 100. Let m(q) = -8*q**2 - 9*q + 11. Let v(i) = 28*m(i) - 3*o(i). Factor v(s).
-4*(s + 2)*(2*s - 1)
Factor 3/2*u**3 + 3/2*u**2 + 0 + 0*u.
3*u**2*(u + 1)/2
Let i = -7 + 12. Determine d, given that d**3 + 4*d**5 - 6*d**i + d**3 = 0.
-1, 0, 1
Suppose -c = -4*c + 48. Let s be (42/35)/(4/10). Let c - 16 - 2*j**s = 0. What is j?
0
Let f(i) = -i**3 + i**2 - i - 1. Let z(t) = 8*t**4 - 6*t**3 - 10*t**2 + 2*t + 2. Let p(n) = -2*f(n) + z(n). Suppose p(l) = 0. Calculate l.
-1, -1/2, 1
Suppose 5*h = -4*n + 25, 4*n - 11*h = -14*h + 15. Suppose n*p + 1/3*p**2 - 1/3 = 0. Calculate p.
-1, 1
Factor -9/5*s**3 + 21/5*s - 6/5 - 6/5*s**2.
-3*(s - 1)*(s + 2)*(3*s - 1)/5
Let c(r) = 4*r**2 + 7*r + 4. Let b(p) = p**2 + p + 1. Let j(n) = 3*b(n) - c(n). Let a be j(-3). Factor 1/5*m**a - 1/5 - 1/5*m**3 + 1/5*m.
-(m - 1)**2*(m + 1)/5
Let s(t) be the first derivative of -15/4*t**4 - 9/5*t**5 - 4 - 1/3*t**3 + 7/2*t**2 + 2*t. Suppose s(b) = 0. Calculate b.
-1, -1/3, 2/3
Let k(l) = 2*l**2 - 2*l + 2. Let a be k(2). Find n, given that 4 + 14*n - 2*n**5 - a*n**2 + 4*n**4 - 10*n**2 + 4*n**3 - 8 = 0.
-2, 1
Let l(q) be the second derivative of q**6/200 + 3*q**5/100 + q**4/20 + 2*q**2 + 3*q. Let o(d) be the first derivative of l(d). Factor o(s).
3*s*(s + 1)*(s + 2)/5
Solve 0*w + 27/2 - 3/2*w**2 = 0 for w.
-3, 3
Let f = 14 - 11. Find k such that 2*k + 0*k - 2 - k**f + k = 0.
-2, 1
Suppose 0 = d - 0*d + 2*l - 40, d - 4*l - 70 = 0. Find v, given that -2 + 1 - 40*v - 2 - 5 - d*v**2 = 0.
-2/5
Let q(d) be the first derivative of -d**4 + 44*d**3/3 - 70*d**2 + 100*d - 39. Factor q(k).
-4*(k - 5)**2*(k - 1)
Suppose -5*p + 3*d - 1 = -5, 4*d = -5*p + 18. Suppose 3 = p*b - b. Factor r**3 - 2*r**3 + b*r**2 + 0*r - r - r**2.
-r*(r - 1)**2
Let q(m) be the first derivative of -7*m**5/15 + m**4/6 + 7*m**3/3 - 10*m**2/3 + 4*m/3 + 3. Determine f, given that q(f) = 0.
-2, 2/7, 1
Let h be 1/5 + 12/(-60) - 0. Let x be (-4)/(-6) - 8/(-6). Let h*r**3 - 3*r**2 + x*r**2 - r**4 - 2*r**3 = 0. Calculate r.
-1, 0
Let y(u) be the first derivative of 1/2*u**2 - 1/12*u**6 - 3/10*u**5 + 1 + 0*u + 1/2*u**3 - 1/8*u**4. Find k, given that y(k) = 0.
-2, -1, 0, 1
Let u(a) be the first derivative of -1/10*a**4 - 8/5*a - 8/5*a**2 - 2/3*a**3 - 2. Factor u(q).
-2*(q + 1)*(q + 2)**2/5
Let r be 6*(-6)/(-20) - 1. Let z = 1044/5 - 206. Factor r + z*l**2 + 18/5*l.
2*(l + 1)*(7*l + 2)/5
Let m = 108 - 752/7. Determine p so that -m*p - 2/7 - 2/7*p**2 = 0.
-1
Suppose -2*q - 4*v = -9*v - 20, 5*q = v + 4. Let u = 4 + q. Factor 0*s + 2/5*s**u - 1/5*s**3 + 0 + 0*s**2 - 1/5*s**5.
-s**3*(s - 1)**2/5
Let k = 140 + -698/5. Factor 0 + 2/5*z**3 + k*z - 4/5*z**2.
2*z*(z - 1)**2/5
Factor -4*p + 4/5*p**2 + 24/5.
4*(p - 3)*(p - 2)/5
Factor 0*m + 0 + 2/11*m**2.
2*m**2/11
Let g(x) be the second derivative of -33/40*x**5 + 7/8*x**4 + 0*x**2 + 1/2*x**3 - 7/20*x**6 + 9/28*x**7 + 9*x + 0. What is n in g(n) = 0?
-1, -2/9, 0, 1
Suppose 4*p - 12 = 0, -3*k = -8*p + 3*p - 69. Let -45*i**4 - 3 + k*i**3 - 4*i**2 + 3 + 0 = 0. Calculate i.
0, 2/9, 2/5
Suppose 15 = -5*r + 10*r. Factor 1/5*s + 1/5*s**4 - 1/5*s**r + 2/5 - 3/5*s**2.
(s - 2)*(s - 1)*(s + 1)**2/5
Let i(r) be the second derivative of 1/4*r**4 + 0 + 2*r - 3/2*r**2 + 0*r**3. Factor i(h).
3*(h - 1)*(h + 1)
Let j = -18 - -92/5. Factor 0 + 0*f**2 - j*f**4 + 0*f + 4/5*f**3.
-2*f**3*(f - 2)/5
Find s, given that -4*s**3 + 5*s**2 - s**2 - 4*s - 12*s**2 = 0.
-1, 0
Let w(s) be the third derivative of -1/3*s**3 + 0*s + 1/9*s**4 + 0 - 2*s**2 - 1/90*s**5. Determine f, given that w(f) = 0.
1, 3
Let b(y) = y**2 + 7*y - 4. Let j be b(-8). Factor -r**4 + 6*r**5 - 6*r**j - 2*r**4 + 3*r**3.
3*r**3*(r - 1)*(2*r - 1)
Let q(t) = -2*t**3 + 13*t**2 - 48*t + 37. Let x(f) = f**3 - 6*f**2 + 24*f - 19. Let m(r) = -3*q(r) - 5*x(r). What is j in m(j) = 0?
1, 4
Let s = -10 + 15. Suppose 0 = g + 3*w + 2*w - 5, -5*w + s = 0. Suppose 1/5*r**4 + g*r**2 + 0*r + 0 + 0*r**3 - 2/5*r**5 = 0. Calculate r.
0, 1/2
Factor 1/2*b**5 + 0 + b**4 + 0*b**3 - b**2 - 1/2*b.
b*(b - 1)*(b + 1)**3/2
Let x(m) be the first derivative of -4/7*m**3 - 2/7*m**2 + 12/7*m + 1/7*m**4 + 5. Factor x(r).
4*(r - 3)*(r - 1)*(r + 1)/7
Let y(d) be the second derivative of 9*d**6/35 - 108*d**5/35 + 96*d**4/7 - 512*d**3/21 + 36*d. Let y(v) = 0. What is v?
0, 8/3
Let q be (1 - 1 - (13 + -15)) + -2. Let g(w) be the second derivative of 3/10*w**5 + 1/10*w**6 + q + 1/4*w**4 + 0*w**3 - 3*w + 0*w**2. Factor g(n).
3*n**2*(n + 1)**2
Factor 3/2*a + 0 + 0*a**2 - 3/2*a**3.
-3*a*(a - 1)*(a + 1)/2
Suppose -t + 5 = 5*o + 29, 0 = t + 4*o + 19. Let p be (2/3)/(t/3). Factor 8/5*g + 2/5*g**p + 8/5.
2*(g + 2)**2/5
Let d be (-15)/(-126)*(-2)/(-45). Let w(o) be the second derivative of -d*o**7 + 0*o**3 + 0*o**5 + 0 + 0*o**4 + 1/135*o**6 - 2*o + 0*o**2. Factor w(a).
-2*a**4*(a - 1)/9
Suppose 0 = -s + 3*s - 8. What is o in -6*o - 2*o**5 + 6*o - 8*o**s - 8*o**3 = 0?
-2, 0
Let g(o) be the first derivative of 1/3*o**3 - 1/4*o**4 + 0*o + 0*o**2 + 1. Factor g(n).
-n**2*(n - 1)
Suppose -3*a - 5*d = -9, 4*d = 14*a - 17*a + 9. Find w, given that 0*w**4 - 6/7*w**a - 4/7*w**2 + 0*w + 0 + 2/7*w**5 = 0.
-1, 0, 2
Let v be 4*1 + 0 + -2. Factor 0 + 4/5*j + 2/5*j**v.
2*j*(j + 2)/5
Suppose 4*z - 2*p - 18 = 0, -3*z + 0*z - 2*p + 31 = 0. Suppose 3 = 5*b - z. Find v such that -4*v**3 + 5*v**5 - 3*v**4 + 0*v**4 + b*v**3 = 0.
-2/5, 0, 1
Let n(y) be the third derivative of -3*y**6/40 + y**5/4 - 7*y**4/24 + y**3/6 - 7*y**2. Factor n(z).
-(z - 1)*(3*z - 1)**2
Let w(j) be the first derivative of -2 - 23/8*j**2 - 7/12*j**3 - 3/2*j. Solve w(s) = 0 for s.
-3, -2/7
Let r(j) be the second derivative of -7*j**6/1620 - j**5/108 + j**4/54 - j**3/6 - 2*j. Let k(o) be the second derivative of r(o). Factor k(s).
-2*(s + 1)*(7*s - 2)/9
Let n(i) be the first derivative of i**8/560 - i**7/280 - i**6/120 + i**5/40 - 2*i**3/3 - 6. Let r(q) be the third derivative of n(q). Factor r(j).
3*j*(j - 1)**2*(j + 1)
Factor 0 - 1/2*p**2 + 2*p.
-p*(p - 4)/2
Let v be (-4)/3*9/(-15). Let z(n) be the first derivative of -1/15*n**3 - v*n + 2/5*n**2 - 2. Determine o so that z(o) = 0.
2
Let v(j) be the third derivative of 0*j**3 - 2*j**2 - 1/40*j**5 + 0*j + 0 + 1/140*j**7 + 1/32*j**4 + 0*j**6 - 1/448*j**8. Factor v(k).
-3*k*(k - 1)**3*(k + 1)/4
Let b(o) be the third derivative of o**6/40 + o**5/10 - 7*o**4/8 + 2*o**3 + 5*o**2. Determine v, given that b(v) = 0.
-4, 1
Determine l so that 3*l**4 - l**4 - 16*l + 16 + 8*l**3 - 12*l**2 + 2*l**4 = 0.
-2, 1
Let h(q) = 11*q**2 - 31*q - 113. Let l(j) = 2*j**2 - 5*j - 19. Let a(n) = 6*h(n) - 34*l(n). Let a(s) = 0. What is s?
-4
Let r(o) be the second derivative of o**4 + 3/20*o**5 + 9*o + 3*o**2 + 5/2*o**3 + 0. Find u, given that r(u) = 0.
-2, -1
Let v(w) = 2*w - 85. Let d be v(44). Factor -4/11 - 10/11*u + 2/11*u**d - 6/11*u**2 + 2/11*u**4.
2*(u - 2)*(u + 1)**3/11
Let b(o) = o**2 + 11*o - 9. Let r be b(-12). What is g in -g**3 - 2*g**3 + 5*g**3 - 4*g**r + 2*g = 0?
-1, 0, 1
Le