ivative of 0*z - 1/12*z**4 - 25 + 1/15*z**5 + 0*z**2 - 2/9*z**3. Suppose c(h) = 0. Calculate h.
-1, 0, 2
Let l(f) be the second derivative of 8*f**6/225 + 19*f**5/150 + 7*f**4/45 + f**3/15 + 2*f - 3. Suppose l(n) = 0. What is n?
-1, -3/8, 0
Let f be ((-3)/(-2) - (-5)/(50/(-30)))/(-2). Suppose -f*d**3 - 3/8*d**4 + 3/8*d + 3/4*d**2 - 3/8 + 3/8*d**5 = 0. What is d?
-1, 1
Let n be (-4)/(-14) + 89/7 + -11. Find b, given that 1/5*b**4 + 0 - 1/5*b**n - 1/5*b**5 + 0*b + 1/5*b**3 = 0.
-1, 0, 1
Let o(j) be the first derivative of j**6/2 - 3*j**5/5 - 15*j**4/2 - 8*j**3 + 441. Factor o(g).
3*g**2*(g - 4)*(g + 1)*(g + 2)
Find n such that -16/3*n**2 + 14/9*n**3 - 32/9*n - 1/9*n**4 + 256/9 = 0.
-2, 4, 8
Let o(w) = 2*w**4 - 18*w**3 + 4*w**2 + 84*w - 70. Let l(d) = 9*d**4 - 89*d**3 + 20*d**2 + 420*d - 349. Let z(u) = 2*l(u) - 11*o(u). Factor z(j).
-4*(j - 3)**2*(j - 1)*(j + 2)
Let z = -3175 - -3180. Suppose 3/7*x - 3/7*x**z + 0 - 6/7*x**4 + 6/7*x**2 + 0*x**3 = 0. Calculate x.
-1, 0, 1
Let p(q) be the first derivative of q**4/8 - 19*q**2/4 - 15*q - 354. Factor p(z).
(z - 5)*(z + 2)*(z + 3)/2
Let h be ((-1)/(-5))/((-105)/(-1050)). Determine o, given that -6/5*o - 2/5*o**3 + 6/5*o**h + 2/5 = 0.
1
Let v(l) be the third derivative of -l**8/6720 + l**7/1260 - l**4/3 - 6*l**2. Let f(i) be the second derivative of v(i). Factor f(t).
-t**2*(t - 2)
Let x be 3*-11*4/(-12). Suppose x - 2 = 3*j. Factor 12 - 24*y - 3*y**j + 0*y**3 + 8*y**2 - 3*y**2 + 10*y**2.
-3*(y - 2)**2*(y - 1)
Let m(i) be the second derivative of i**4/3 + 4*i**3 - 32*i**2 - 57*i. Let m(b) = 0. What is b?
-8, 2
What is m in 250 - 825/2*m - 25/2*m**3 + 135*m**2 = 0?
4/5, 5
Factor 4 - 2 + 25*d**2 + 76*d + 39*d**2 + 10.
4*(d + 1)*(16*d + 3)
Let b(d) be the third derivative of -1/168*d**8 + 2*d**2 + 1/420*d**7 + 0 + 1/12*d**3 + 1/30*d**6 + 0*d - 1/60*d**5 - 1/12*d**4. Let b(p) = 0. Calculate p.
-1, 1/4, 1
Let u(z) = 21 - 7 - 7 + 12*z**2 + 5*z. Let g(o) = 4*o**2 + 2*o + 2. Let q(r) = -7*g(r) + 2*u(r). Factor q(j).
-4*j*(j + 1)
Let t(l) be the second derivative of 0*l**2 - 1/540*l**5 + 1/1620*l**6 - 5/3*l**3 + 0 + 8*l - 1/54*l**4. Let r(y) be the second derivative of t(y). Factor r(u).
2*(u - 2)*(u + 1)/9
Let d(a) be the third derivative of -3/8*a**4 - 1/200*a**6 + 0*a - 9/10*a**3 + 0 - 7/100*a**5 + 23*a**2. Factor d(s).
-3*(s + 1)*(s + 3)**2/5
Let y(i) be the second derivative of i**6/360 - i**5/90 - 13*i**2/2 + 12*i. Let n(k) be the first derivative of y(k). Let n(d) = 0. Calculate d.
0, 2
Let v be (-144)/(-320) - ((-28)/(-16) + -2). Factor v*q**2 - 1/5 - 1/2*q.
(q - 1)*(7*q + 2)/10
Suppose p + 4*i = 8 + 6, 3*p - 18 = -4*i. Suppose -p*d + 13 = -d. Factor 3*q**4 - 12*q**2 + q**4 + 13*q**3 + 8*q - d*q**3.
4*q*(q - 1)**2*(q + 2)
Let n(c) be the third derivative of c**8/896 + 3*c**7/560 - c**5/40 - 76*c**2. Solve n(w) = 0 for w.
-2, 0, 1
Let w(t) be the second derivative of -t**5/170 + t**4/34 - t**3/17 + t**2/17 - 93*t. Factor w(u).
-2*(u - 1)**3/17
Let z = 401/1496 - -20/187. Suppose 0 + 3/8*r**2 + z*r = 0. What is r?
-1, 0
Suppose 0 = -5*x - 2*m + 10, x + 4*m = 3*x - 4. Suppose -z = -5*z + x*z. Factor 0 + 2/5*h**3 + 6/5*h**2 + z*h.
2*h**2*(h + 3)/5
Let k be (-306)/(-180) + (-3)/(-10). Let w(b) be the first derivative of 0*b - 7 + b**3 + 0*b**k - 1/4*b**4. Solve w(l) = 0 for l.
0, 3
Let x be -16 - -10 - ((-44)/14 - 3). Factor 0*u - 3/7*u**3 + 3/7*u**4 + 1/7*u**2 + 0 - x*u**5.
-u**2*(u - 1)**3/7
Let b(o) be the third derivative of -o**6/2880 - o**5/480 + o**4/64 + 2*o**3 + 21*o**2. Let r(a) be the first derivative of b(a). Factor r(w).
-(w - 1)*(w + 3)/8
Let j be 2/7 + (-3 - (-342)/126). Solve -2/11*c**4 + 0*c + j*c**2 + 0 - 2/11*c**3 = 0 for c.
-1, 0
Let b(q) = 9*q**3 + 2*q - 2. Let d be b(1). Suppose 0 = 2*w - 2*y - 0*y - 14, -2*w + y = -d. Suppose -24/7*u**w - 32/7 - 48/7*u - 4/7*u**3 = 0. What is u?
-2
Let m(x) be the first derivative of -3/2*x**2 + 9/2*x - 4 + 1/6*x**3. Let m(t) = 0. Calculate t.
3
Let n be ((81/27)/3)/(1 + 0). Determine x so that 11*x**3 - 11/2*x + n - 11/2*x**5 + x**4 - 2*x**2 = 0.
-1, 2/11, 1
Let o(u) be the third derivative of -u**7/210 + u**6/40 - u**5/20 + u**4/24 + 178*u**2. Factor o(z).
-z*(z - 1)**3
Suppose 7*t = -19 - 16. Let z be (t/(-5) - -2) + -1. Solve 22 + q - 24 - 5*q + 6*q**z = 0.
-1/3, 1
Let m(z) = -z**5 + 3*z**4 - 2*z**3. Let f = -63 - -66. Let o(r) = -r**5 + r**4. Let s(t) = f*o(t) - m(t). Factor s(p).
-2*p**3*(p - 1)*(p + 1)
Suppose -4/3*s - 1/3*s**3 + 7/3*s**2 - 4 = 0. Calculate s.
-1, 2, 6
Factor -28/3*c**2 - 52/3*c - 76/9 - 4/9*c**3.
-4*(c + 1)**2*(c + 19)/9
Let r be (-2)/7 - (-160)/70. Let c(v) be the second derivative of 0*v**2 + 1/90*v**6 - r*v + 0 + 0*v**3 + 0*v**5 - 1/36*v**4. Factor c(x).
x**2*(x - 1)*(x + 1)/3
Let r be 6/(-15 + -3)*0. Factor 2/5*h**2 + r*h + 0 - 2/5*h**3.
-2*h**2*(h - 1)/5
Let x be 16 + -27 + 166/14. Factor -4/7*r + x*r**2 + 0.
2*r*(3*r - 2)/7
Let d(k) be the first derivative of 2*k**4 - 8 + k**2 - 3*k - 4/5*k**5 - 2*k**3. Let s(i) be the first derivative of d(i). What is y in s(y) = 0?
1/2
Let b(q) be the third derivative of 0*q + 6*q**2 + 0 - 5/3*q**4 - 1/15*q**5 - 50/3*q**3. Let b(j) = 0. What is j?
-5
Let b(r) be the second derivative of 3/20*r**5 + 1 - 1/3*r**4 - 1/60*r**6 - 11*r + 9/4*r**2 - 1/2*r**3. Suppose b(g) = 0. Calculate g.
-1, 1, 3
Let f(w) = -w**2 + 5*w + 4. Let v be f(5). Suppose 0*t**2 - t**2 + 9*t - 3*t - v - 1 = 0. Calculate t.
1, 5
Let x(g) = 27*g**5 - 52*g**4 + 38*g**3 - 8*g**2 + 2*g - 2. Let b(q) = q**4 + q**3 + q - 1. Let y(a) = 10*b(a) - 5*x(a). Solve y(z) = 0.
0, 2/3
Suppose 13*w**2 - 2*w**2 - 2*w**4 + 2*w**3 - w**2 - 2*w + 16*w**2 - 24 = 0. What is w?
-3, -1, 1, 4
Let q be (0 + 6/4)/(224/448). Let y(f) be the third derivative of -5*f**2 + 0*f**4 + 0*f - 4/39*f**q + 1/390*f**5 + 0. Factor y(o).
2*(o - 2)*(o + 2)/13
Factor -8 - 2*i**3 + 11*i**2 + 11*i**2 + 2*i**2 - 18*i**2.
-2*(i - 2)**2*(i + 1)
Let d(h) be the second derivative of -40*h + 0*h**3 - 3/32*h**4 + 0 - 3/160*h**5 + 0*h**2. Suppose d(r) = 0. What is r?
-3, 0
Let b(j) be the third derivative of 0*j - 5*j**2 - 25/6*j**3 + 1/12*j**5 + 5/6*j**4 + 0. Find k such that b(k) = 0.
-5, 1
Let z(x) be the third derivative of x**5/80 - x**4/8 - 5*x**2 + 23. Determine f, given that z(f) = 0.
0, 4
Suppose i + 4*i + 37 = -3*b, -5*i - 41 = 4*b. Let z(y) = -y**2 + 7. Let n(w) = -w. Let u(g) = i*z(g) - 30*n(g). Factor u(r).
5*(r - 1)*(r + 7)
Solve -3/2*f**3 - 15/2*f**2 + 27/2 - 9/2*f = 0 for f.
-3, 1
Let x(l) = -5*l + 1. Let c be x(-1). Let z be ((c/(-5))/3)/((-80)/100). Factor 1/2*h**2 + 3/4*h - 1/4*h**5 - 3/4*h**4 + 1/4 - z*h**3.
-(h - 1)*(h + 1)**4/4
Let q be 0 + ((-48)/(-3))/4. Let s be 1 + q/4 - -1. Factor -4 - s*o**2 - 6*o + 2*o - 4*o - o**2.
-4*(o + 1)**2
Let g(w) be the first derivative of -w**4 + 24*w**3 - 120*w**2 + 224*w - 32. Find n such that g(n) = 0.
2, 14
Let w(d) be the third derivative of 25*d**8/42 - 2*d**7/3 - 26*d**6/15 + 13*d**5/15 + 10*d**4/3 + 8*d**3/3 + 521*d**2. Let w(s) = 0. What is s?
-1/2, -2/5, 1
Suppose z + o = 6, z + 11 + 1 = 5*o. Suppose 12*c + 100 = 32*c. Factor g**2 + g**2 - 3*g**3 + 3*g**2 - 2*g**z + c*g - 5.
-5*(g - 1)**2*(g + 1)
Suppose 0*n = -3*n - 3. Let y(s) = -5*s**5 + 5*s**3 + 15*s**2 - 15*s. Let m(x) = x**4 - x. Let w(o) = n*y(o) + 15*m(o). Determine l so that w(l) = 0.
-3, -1, 0, 1
Let w = -7609 - -7611. Factor -1/2*r**3 - 2*r + 2*r**w + 0.
-r*(r - 2)**2/2
Let n(u) be the third derivative of u**6/1140 + 22*u**5/285 + 121*u**4/57 - 4*u**2 + 24*u. Factor n(r).
2*r*(r + 22)**2/19
Let u(g) be the third derivative of -g**8/10080 - g**7/630 - g**6/90 + g**5/3 - 14*g**2. Let z(f) be the third derivative of u(f). Solve z(j) = 0 for j.
-2
Let p be ((-8)/(-14))/((-7472)/(-3269)). What is q in q**3 - 3/4*q**2 - q - p*q**4 + 1 = 0?
-1, 1, 2
Let y(m) be the first derivative of -1/21*m**3 - 25 + 1/35*m**5 + 1/14*m**2 + 0*m - 1/28*m**4. Factor y(u).
u*(u - 1)**2*(u + 1)/7
Let i = -1/1231 - -2465/3693. Factor -i*t**5 + 0 + 0*t**2 - 4/9*t**4 + 2/9*t**3 + 0*t.
-2*t**3*(t + 1)*(3*t - 1)/9
Let l(a) = -a**5 - a**4 - a**3. Let h(p) = -5*p**5 + 2*p**4 - 2*p**3 - 7*p**2 + p + 2. Let k be 2 - (0 + 1 + 2). Let n(g) = k*h(g) + 3*l(g). Solve n(y) = 0.
-1, -1/2, 1, 2
Let y(v) be the first derivative of 6 + 0*v**3 - 1/16*v**4 + 1/2*v + 3/8*v**2. Determine g