3 - 5*z**2 + 10/3*z.
-5*(z - 1)*(3*z + 1)/3
Let u(c) be the second derivative of 3/50*c**5 + 0*c**2 + 1/25*c**6 + 0 + c + 1/30*c**4 + 1/105*c**7 + 0*c**3. Suppose u(g) = 0. Calculate g.
-1, 0
Let m(j) = -36*j**3 - 30*j**2 + 66*j. Let x(z) = -7*z**3 - 6*z**2 + 13*z. Let q = 8 - 12. Let v(y) = q*m(y) + 21*x(y). Determine p so that v(p) = 0.
-3, 0, 1
Let q(z) be the first derivative of -z**5/10 - 5*z**4/8 - 7*z**3/6 - 3*z**2/4 + 14. Factor q(s).
-s*(s + 1)**2*(s + 3)/2
Suppose 0*f - 6 = -2*f. Suppose -f*w + 7 + 5 = 0. Find k, given that 19*k + 13*k**2 - 59*k + 2*k**w + 23*k**2 - 14*k**3 + 16 = 0.
1, 2
Let m(p) be the second derivative of p**6/90 - p**5/15 + p**4/9 - 16*p. Factor m(r).
r**2*(r - 2)**2/3
Let q(g) be the first derivative of -1/18*g**4 + 1/9*g**2 + 3 + 0*g - 2/45*g**5 + 2/27*g**3. Solve q(z) = 0.
-1, 0, 1
Let s(v) be the third derivative of v**6/150 - v**5/75 - 15*v**2. Solve s(j) = 0.
0, 1
Let v(q) be the first derivative of -2*q**3/9 - 2*q**2/9 + 2*q/9 - 16. What is g in v(g) = 0?
-1, 1/3
Let w(k) be the third derivative of 0 + 0*k**4 - 1/180*k**5 + 0*k + 1/18*k**3 + 5*k**2. Factor w(a).
-(a - 1)*(a + 1)/3
Let y(h) = 2*h**2 + 9*h - 6. Let w(n) = -5*n**2 - 19*n + 13. Let d(z) = -3*w(z) - 7*y(z). Let c be d(6). Solve -4*b**2 - 6*b**c + b**3 + 3*b**3 = 0.
-2, 0
What is w in 3*w**5 - 12*w**4 - 6*w**4 - 8*w**5 - 42*w**4 = 0?
-12, 0
Solve 40/9*l - 200/9 - 2/9*l**2 = 0 for l.
10
Suppose 5*n - 7 = 3. Determine x, given that 0*x + 2*x**2 + 3 - 5 - 2*x + n*x**3 = 0.
-1, 1
Let s(q) be the third derivative of -q**8/1344 + q**7/560 + q**6/120 + q**5/60 - 4*q**2. Let p(n) be the third derivative of s(n). Factor p(j).
-3*(j - 1)*(5*j + 2)
Let b(k) = 2*k**3 + 2*k**2 - 8*k - 6. Let i(l) = 2*l**3 + 3*l**2 - 9*l - 7. Let o(u) = 6*b(u) - 4*i(u). Let o(m) = 0. What is m?
-1, 2
Let q = -3 - -2. Let s = 5 + q. Determine c so that 0*c**4 - 13*c**2 - 2*c**s + 8*c**3 + 5*c**2 = 0.
0, 2
Suppose 2*v - 37 = -4*t + 5*v, 2*v + 20 = 2*t. Let n be 9/t + 9/(-21). Let -n*z + 2/7 - 2/7*z**3 + 6/7*z**2 = 0. Calculate z.
1
Let f(s) = 15*s**2 + 18*s - 33. Let o(y) = -6*y**2 - 7*y + 13. Let v(p) = -5*f(p) - 12*o(p). Determine u so that v(u) = 0.
-3, 1
Let c(y) be the third derivative of -1/6*y**3 - 3*y**2 + 1/60*y**6 - 1/30*y**5 + 1/70*y**7 + 1/336*y**8 + 0*y + 0 - 1/8*y**4. Find z such that c(z) = 0.
-1, 1
Let j(b) be the third derivative of -b**8/1008 - b**7/315 + b**5/90 + b**4/72 + 10*b**2. Factor j(p).
-p*(p - 1)*(p + 1)**3/3
Suppose -5*d - 3*k - 4 + 16 = 0, 3*d - 20 = -5*k. Let p = d + 1. Find y, given that -2*y**2 + 0*y + p + 0*y + y**2 = 0.
-1, 1
Let l be 4/(80/12)*-5. Let c(a) = 5*a**3 + a**2 - 3. Let j(n) = 14*n**3 + 2*n**2 - 8. Let f(q) = l*j(q) + 8*c(q). Suppose f(g) = 0. Calculate g.
0, 1
Let v(y) = -y**2 + y - 3. Let a(x) = 3. Let z(k) = 3*a(k) + 3*v(k). Let z(s) = 0. Calculate s.
0, 1
Factor -22/13*k**3 + 0 - 4/13*k**2 + 0*k - 18/13*k**4.
-2*k**2*(k + 1)*(9*k + 2)/13
Let m = 1899/7 + -271. Factor -12/7*v**2 - 16/7 + 24/7*v + m*v**3.
2*(v - 2)**3/7
Let u(j) = 7*j**2 + 4*j + 2. Let l(s) = 3*s**2 + 7*s + 5. Let i(v) = 7*v**2 + 13*v + 9. Let g(d) = 3*i(d) - 5*l(d). Let w(r) = -5*g(r) + 4*u(r). Factor w(p).
-2*(p + 1)**2
Let n(m) be the second derivative of -m**7/2520 + m**6/240 - m**5/60 + m**4/12 + m. Let k(i) be the third derivative of n(i). Factor k(l).
-(l - 2)*(l - 1)
Let z be (-3 - -2)*(2 - 6). Determine h so that -2*h**2 + 6*h**z - 2*h**4 - 2*h**4 + 0*h**2 = 0.
-1, 0, 1
Let f(s) be the third derivative of s**6/20 - 13*s**5/60 + 3*s**4/8 - s**3/3 + 4*s**2. Suppose f(a) = 0. Calculate a.
1/2, 2/3, 1
Let s(l) = -16*l**4 + 22*l**3 - 4*l**2 - 2*l + 2. Let p(a) = 33*a**4 - 43*a**3 + 7*a**2 + 3*a - 5. Let y(t) = -2*p(t) - 5*s(t). Find n such that y(n) = 0.
-2/7, 0, 1
Determine y, given that 4*y + 3*y**5 + 9*y**4 + 0*y**2 + 3*y**2 - 4*y + 9*y**3 = 0.
-1, 0
Let t(k) be the third derivative of -k**7/840 + k**5/120 + k**3/3 + 3*k**2. Let o(u) be the first derivative of t(u). Solve o(s) = 0 for s.
-1, 0, 1
Factor -4/7*d + 2/7 + 2/7*d**2.
2*(d - 1)**2/7
Determine b so that 18/7*b**3 + 4/7*b**2 + 2*b**4 + 0 + 0*b = 0.
-1, -2/7, 0
Let l(d) = -3*d**2 - 7*d. Let u(x) = 12*x**2 + 27*x. Let h(b) = -9*l(b) - 2*u(b). Let h(t) = 0. What is t?
-3, 0
Let h(j) be the third derivative of 5*j**5/12 + 5*j**4/8 - 5*j**3/3 + 12*j**2. Solve h(x) = 0.
-1, 2/5
Let r(x) be the second derivative of 3*x**5/20 - 9*x**4/4 + 27*x**3/2 - 81*x**2/2 - 4*x. Solve r(v) = 0 for v.
3
Let j(b) be the third derivative of b**8/336 + b**7/70 + b**6/120 - b**5/20 - b**4/12 - 13*b**2. Factor j(m).
m*(m - 1)*(m + 1)**2*(m + 2)
Let u be 5/5 - 5/(-1). Let f(b) = b**2 - 7*b + 6. Let p be f(u). Determine t, given that -3/2*t**2 + p + t = 0.
0, 2/3
Let x(i) be the first derivative of -i**6/75 + i**4/30 - i + 1. Let h(c) be the first derivative of x(c). Suppose h(o) = 0. What is o?
-1, 0, 1
Suppose 348*x = 340*x + 24. Find c, given that 14/3*c + 4/3*c**x + 4/3 - 4/3*c**4 - 2/3*c**5 + 16/3*c**2 = 0.
-1, 2
Suppose -8 - 12 = -10*u. Suppose -4/7*v**u + 2/7*v + 0 + 2/7*v**3 = 0. Calculate v.
0, 1
Let a be (-15)/(-33)*((-63)/(-15) - 3). Suppose 0*n + 2/11*n**5 + 6/11*n**3 + 2/11*n**2 + a*n**4 + 0 = 0. Calculate n.
-1, 0
Let l = 168 - 1172/7. Factor -2/7 + 4/7*i**3 - 2/7*i**5 - 2/7*i + l*i**2 - 2/7*i**4.
-2*(i - 1)**2*(i + 1)**3/7
Determine f so that -2*f**5 + 0*f + 2*f**3 - 4/7*f**4 + 4/7*f**2 + 0 = 0.
-1, -2/7, 0, 1
Let p(c) be the first derivative of c**3/3 + 7*c**2/2 + 6*c - 7. Let p(x) = 0. What is x?
-6, -1
Let g(t) be the third derivative of -t**7/140 + 3*t**6/160 - t**5/80 + 7*t**2. Factor g(k).
-3*k**2*(k - 1)*(2*k - 1)/4
Let j(q) be the third derivative of -q**9/60480 + q**8/20160 + q**7/2520 - q**5/10 + 3*q**2. Let p(z) be the third derivative of j(z). Factor p(n).
-n*(n - 2)*(n + 1)
Let b(i) = i**3 - 4*i**2 - 5*i + 2. Let v be b(5). Factor -q**v + 2*q**2 + 3*q + 0*q - q.
q*(q + 2)
Let d(w) be the first derivative of -w**3/6 + w/2 + 19. Solve d(t) = 0 for t.
-1, 1
Let q(v) = 6*v**2 - 3*v + 3. Let n(w) = 13*w**2 - 6*w + 7. Let o(i) = -3*n(i) + 7*q(i). Determine z, given that o(z) = 0.
0, 1
Let f(j) be the first derivative of -1/8*j**3 - 3/2*j**2 + 0*j**4 + 1/80*j**5 + 0*j - 1. Let a(g) be the second derivative of f(g). Factor a(k).
3*(k - 1)*(k + 1)/4
Suppose -4 - 21*l**2 - 16 + 26*l**2 = 0. What is l?
-2, 2
Let s = -25 + 28. Let 4/3*f + 1/3*f**4 - 2/3*f**s - f**2 + 4/3 = 0. What is f?
-1, 2
Suppose 2*i = -i + 15. Suppose i + 1 = 2*c, 4*c = -5*k + 37. Determine p so that k - 3 - p**2 - p**2 = 0.
-1, 1
Suppose -7*p = 11 - 39. Let h(r) be the first derivative of 0*r + r**p + 0*r**3 - r**2 + 0*r**5 - 1 - 1/3*r**6. Suppose h(f) = 0. What is f?
-1, 0, 1
Let l(o) be the third derivative of -1/280*o**7 - 7*o**2 + 0 + 1/80*o**5 + 0*o + 0*o**3 + 1/32*o**4 - 1/160*o**6. Let l(i) = 0. What is i?
-1, 0, 1
Suppose 0 + 34/7*d**2 - 4/7*d = 0. What is d?
0, 2/17
Let f(t) be the first derivative of t**7/63 - t**6/45 - t**5/30 + t**4/18 + 2*t - 7. Let a(h) be the first derivative of f(h). Factor a(m).
2*m**2*(m - 1)**2*(m + 1)/3
Let -6/7 + 9/7*o + 9*o**2 + 75/7*o**3 + 27/7*o**4 = 0. What is o?
-1, 2/9
Let w(z) be the first derivative of -4*z**3/3 - 36*z**2 - 68*z - 53. Factor w(t).
-4*(t + 1)*(t + 17)
Let v(l) = -l**2. Let p(h) = 20*h + 15. Let c(u) = -p(u) + 5*v(u). What is k in c(k) = 0?
-3, -1
Let q be (1 - 2)/((-1)/4). Let l be ((-3)/2)/((-2)/q). Let -g + g**4 + 3*g**l - 6*g**3 + 3*g**2 + 0*g = 0. What is g?
0, 1
Let v(u) be the third derivative of u**7/420 - u**6/80 + u**5/40 - u**4/48 + 35*u**2. Let v(p) = 0. What is p?
0, 1
Let w(y) be the first derivative of 0*y**2 + 0*y**3 + 1/3*y**6 + 1 + 0*y**5 + 0*y - 1/2*y**4. Factor w(q).
2*q**3*(q - 1)*(q + 1)
Let y(b) = -b**4 + 5*b**2 - 3*b - 1. Let l(s) = -s**4 + 6*s**2 - 4*s - 1. Let k(m) = 3*l(m) - 4*y(m). Factor k(n).
(n - 1)**2*(n + 1)**2
Let t(l) be the second derivative of -l**3/2 - l**2/2 - 2*l. Let p be t(-1). Factor 0 + 2/5*b**4 - 2/5*b**3 - 2/5*b**p + 2/5*b.
2*b*(b - 1)**2*(b + 1)/5
Let h(n) = -n**2 - 11*n + 2. Suppose -19 = q + i + 3*i, 2*i + 4 = 0. Let l be h(q). Factor x - 4*x + 3*x + 1 - x**l.
-(x - 1)*(x + 1)
Let w(c) = 9*c**4 + 21*c**3 + 8*c**2 - 21*c - 17. Let m(u) = 4*u**4 + 10*u**3 + 4*u**2 - 10*u - 8. Let r(v) = 10*m(v) - 4*w(v). Factor r(i).
4*(i - 1