+ 3/2*q**2 - 1/4*q**4. Factor k(p).
-(p - 1)**2*(p + 2)
Let n(t) = -t**3 - 5*t**2 + 4*t - 4. Let f be n(-6). Let z = f - 5. Determine x, given that -z*x**2 + 4 + 0*x**3 + 0 + x**3 = 0.
-1, 2
Let h(x) be the second derivative of 4*x**6/15 - x**5/10 - 2*x**4 + 11*x**3/3 - 2*x**2 + 4*x. Determine z, given that h(z) = 0.
-2, 1/4, 1
Factor 18/7 - 3*q - 54/7*q**2 - 15/7*q**3.
-3*(q + 1)*(q + 3)*(5*q - 2)/7
Let a = -12 - -16. Determine v, given that -8*v + 39*v**4 - 6*v**3 + 37*v**a + 13*v**3 + 13*v**3 - 28*v**2 - 60*v**5 = 0.
-2/5, -1/3, 0, 1
Let t(s) = -12*s**2 - 3*s - 33. Let y(z) = 3*z**2 + z + 8. Let u(c) = 5*t(c) + 21*y(c). Factor u(a).
3*(a + 1)**2
Let j(k) be the first derivative of -2/3*k**3 + k**2 + 0*k + 4. Determine q, given that j(q) = 0.
0, 1
Let r(i) = i - 1. Let v(y) = -3*y**4 - 6*y**3 + 9*y**2 + 6*y - 6. Let q(a) = 6*r(a) + v(a). Solve q(w) = 0 for w.
-2, 1
Determine k, given that 0*k**2 + 1/3*k**4 + 0 + 0*k**3 + 0*k = 0.
0
Let i(o) be the second derivative of -o**4/72 - o**3/18 + 7*o. Factor i(q).
-q*(q + 2)/6
Let g(i) = i**2 + 6*i + 1. Suppose 1 + 29 = -5*z. Let l be g(z). Let p(f) = -2*f**2 - 6*f - 2. Let o(v) = -v. Let k(c) = l*p(c) - 10*o(c). Factor k(d).
-2*(d - 1)**2
Let j be (-4)/(-6) - 7*(-8)/(-84). Factor -11/7*m**3 + j - 9/7*m**2 + 2/7*m.
-m*(m + 1)*(11*m - 2)/7
Let l(a) be the first derivative of a**4/10 - 4*a**3/15 + a**2/5 - 31. Find y such that l(y) = 0.
0, 1
Let y(v) = 26*v**3 + 76*v**2 + 58*v + 2. Let i(s) = 51*s**3 + 150*s**2 + 115*s + 5. Let w(m) = -6*i(m) + 11*y(m). Factor w(a).
-4*(a + 1)*(a + 2)*(5*a + 1)
Let c(l) be the second derivative of 0 + 0*l**2 - 1/20*l**5 + 1/8*l**4 - l + 1/6*l**3 - 1/20*l**6. Solve c(o) = 0 for o.
-1, -2/3, 0, 1
Let y(x) be the second derivative of x**6/720 - x**5/240 - x**3/6 + 5*x. Let h(r) be the second derivative of y(r). Factor h(d).
d*(d - 1)/2
Let g(i) be the third derivative of -i**5/420 - i**4/12 - 7*i**3/6 + 25*i**2. Find k such that g(k) = 0.
-7
Let g be 1020/153 - (-1 - -7). Let 0 + g*p**2 + 2/3*p = 0. What is p?
-1, 0
Let s(d) be the second derivative of d**7/126 - 2*d**6/45 + d**5/20 + d**4/9 - 2*d**3/9 + 22*d. Factor s(g).
g*(g - 2)**2*(g - 1)*(g + 1)/3
Let b(o) = -o**2 - 6*o + 9. Let a be b(-7). Let v(w) be the first derivative of 1/9*w**6 + 0*w**4 - 2/15*w**5 + 0*w**3 - 1 + 0*w + 0*w**a. Factor v(i).
2*i**4*(i - 1)/3
Factor 27*r - r**3 + 11*r**3 + 18*r**2 - 7*r**3 + 12.
3*(r + 1)**2*(r + 4)
Let x(o) = 6 + 3 + 3*o**2 - 8 - 2*o. Let n be x(1). Factor 1/4*k**3 + 0*k + 1/4*k**n + 0.
k**2*(k + 1)/4
Let s(f) be the third derivative of f**7/1785 - f**6/510 + f**5/510 - 32*f**2. Find w, given that s(w) = 0.
0, 1
Factor 4/3 + 4/3*q + 1/3*q**2.
(q + 2)**2/3
Let r be 4/((-4)/(-5)) - 2. What is x in -x**2 + 3*x - x**2 + x**r + 2 - 4*x**3 + 0*x**2 = 0?
-1, -2/3, 1
Let d(v) = -v**3 - 10*v**2 + v + 12. Suppose -8 + 38 = -2*w + 2*f, 5*w + 2*f = -40. Let z be d(w). Factor 0*o - o**4 + 3/4*o**3 + 0 + 1/4*o**z.
-o**2*(o - 1)*(4*o + 1)/4
Let n(i) be the first derivative of -1/105*i**6 - 2 + 1/21*i**3 + 1/42*i**4 + 0*i**2 + 3*i - 1/70*i**5. Let m(a) be the first derivative of n(a). Factor m(o).
-2*o*(o - 1)*(o + 1)**2/7
Let r(h) be the third derivative of -h**7/3360 - h**6/720 + h**5/480 + h**4/48 + h**3 + 5*h**2. Let m(d) be the first derivative of r(d). Solve m(s) = 0 for s.
-2, -1, 1
Let b be (9 + -11)/(13*1/(-2)). Let 0 + 2/13*f - b*f**2 + 2/13*f**3 = 0. What is f?
0, 1
Let u(g) be the third derivative of -g**8/20160 + g**7/3780 + 7*g**4/24 + 6*g**2. Let s(f) be the second derivative of u(f). Factor s(p).
-p**2*(p - 2)/3
Suppose -6*g**2 + 4*g**2 - g**2 + 12 = 0. What is g?
-2, 2
Let u(v) be the third derivative of -v**6/840 + v**5/84 - v**4/24 + v**3/14 + 4*v**2. Factor u(r).
-(r - 3)*(r - 1)**2/7
Suppose 0*x - 4/9*x**3 + 0 - 2/9*x**2 - 2/9*x**4 = 0. Calculate x.
-1, 0
Let -8*m**5 + 28*m**4 + 11/2*m - 2*m**2 - 49/2*m**3 + 1 = 0. What is m?
-1/4, 1, 2
Let i(c) = 2*c**2 - 6*c + 4. Let k(a) = 4*a**2 - 12*a + 8. Let m(s) = -9*i(s) + 4*k(s). Suppose m(h) = 0. Calculate h.
1, 2
Let n(a) be the third derivative of a**8/1008 + a**7/2520 - a**6/180 - a**5/10 - 3*a**2. Let b(c) be the third derivative of n(c). Factor b(u).
2*(2*u + 1)*(5*u - 2)
Factor 3*d**2 + 7107 - 7107 - 3*d**3.
-3*d**2*(d - 1)
Let x(a) be the third derivative of 2*a**2 + 1/3*a**3 + 0*a + 1/120*a**6 + 5/24*a**4 + 1/15*a**5 + 0. What is h in x(h) = 0?
-2, -1
Let k(n) = n + 6. Let i be k(0). Let d be (-10)/12 - i/(-4). What is a in 4/3*a**4 - 2/3*a + 0*a**3 - 4/3*a**2 + d*a**5 + 0 = 0?
-1, 0, 1
Let w(n) be the third derivative of -n**7/315 - n**6/90 - n**5/90 - 34*n**2. Factor w(o).
-2*o**2*(o + 1)**2/3
Let h = -1/180 - -37/180. Let 0 + 0*j - 1/5*j**2 + h*j**3 = 0. What is j?
0, 1
Let r(k) be the first derivative of -k**7/840 - k**3/3 + 1. Let m(f) be the third derivative of r(f). Find i such that m(i) = 0.
0
Let b(r) be the second derivative of 2*r**6/15 - r**5/5 - r**4/3 + 2*r**3/3 + 8*r. Factor b(w).
4*w*(w - 1)**2*(w + 1)
Suppose 1 = m - 2. Solve 6*z**3 - 2*z**5 - 3*z - 5*z**3 + z + m*z**3 = 0 for z.
-1, 0, 1
Let k(p) = -p**4 + p**3 - 4*p**2 + 4*p - 5. Let r(l) = l**4 - l**3 + 6*l**2 - 6*l + 7. Let d(f) = 7*k(f) + 5*r(f). Suppose d(z) = 0. What is z?
-1, 0, 1
Let k(w) be the third derivative of 0 - 1/1344*w**8 - 1/96*w**4 - 2*w**2 + 0*w**3 + 1/210*w**7 + 0*w + 1/60*w**5 - 1/80*w**6. Factor k(r).
-r*(r - 1)**4/4
Let w = 6 + -3. Let u be 39/(-104)*40/(-6). What is v in u*v**2 + 2 - 4*v - 1/2*v**w = 0?
1, 2
Let h(d) be the second derivative of d**4/20 + d**3/10 + 6*d. Determine q so that h(q) = 0.
-1, 0
Let q(g) be the first derivative of -9*g**6/4 - 153*g**5/10 - 309*g**4/8 - 89*g**3/2 - 24*g**2 - 6*g - 4. Let q(y) = 0. Calculate y.
-2, -1, -1/3
What is d in -310*d**3 + 2 - 2 + 312*d**3 = 0?
0
Suppose -3*v = c - 5*v - 16, 0 = 3*c - 4*v - 38. Let u be 3/(-6) - (-11)/c. Factor -2/3*b**2 - u + 2*b.
-2*(b - 2)*(b - 1)/3
Factor 6/7*t**3 - 2/7*t + 0 - 4/7*t**4 + 0*t**2.
-2*t*(t - 1)**2*(2*t + 1)/7
Let q(i) be the third derivative of -3*i**7/280 + 7*i**6/40 - 11*i**5/120 - 11*i**4/24 - 3*i**3/8 + 4*i**2 - 1. Find d such that q(d) = 0.
-1/3, 1, 9
Let i(k) = 2*k**2 - k**2 + 2*k**4 - k + 1 - 3*k**4. Let h(a) = 2*a**4 - 3 + a**3 + 4*a - 4*a**2 - 1 + a**3. Let n(g) = -h(g) - 4*i(g). Let n(z) = 0. What is z?
0, 1
Let v be (0/(-1))/(15 + -16). Find r, given that -3/4*r**4 + v - 9/4*r**3 + 0*r - 3/2*r**2 = 0.
-2, -1, 0
Let c(p) = -p**2 + 2*p - 1. Let o(s) = 4*s**2 + 40*s + 244. Let x(v) = -2*c(v) - o(v). Factor x(r).
-2*(r + 11)**2
Suppose 0 = -3*p + 5*f + 37, -3*f = 20 - 5. Determine b so that 2/11 - 6/11*b + 4/11*b**3 + 2/11*b**5 - 6/11*b**p + 4/11*b**2 = 0.
-1, 1
Let s(x) = 4*x**2. Let y be s(1). Let g(p) be the second derivative of 0 + 0*p**3 - 1/10*p**5 - 2*p + 0*p**2 + 0*p**y. Factor g(z).
-2*z**3
Let d = -16 + 18. Factor -24*i**2 - d*i**4 - 12*i**3 - 7*i**4 - 16*i + 7*i**4.
-2*i*(i + 2)**3
Suppose -3*v - 9 = -18. Suppose 2*s**3 - 3*s**2 + 7*s**3 - 6*s**v = 0. Calculate s.
0, 1
Let j(b) be the second derivative of -b**5/75 - b**4/15 - 2*b**3/15 - 3*b**2 + 3*b. Let i(d) be the first derivative of j(d). Let i(s) = 0. What is s?
-1
Let u(t) = t**2 + 8*t + 9. Let a be u(-9). Let g(p) = -p**2 - p + 1. Let d(w) = 13*w**2 + 18*w - 7. Let q(z) = a*g(z) + 2*d(z). Find y such that q(y) = 0.
-2, -1/4
Solve -4*v**5 - 4*v**5 + 5*v**5 - 20*v**4 - 2*v**5 = 0.
-4, 0
Suppose 0 = 2*r - 15 + 5. Suppose 0 = g - 0*g - 2*h - 8, -3*h = 9. Factor -8/3*i**3 + 40/3*i**4 + 0 + 0*i**g + 0*i - 50/3*i**r.
-2*i**3*(5*i - 2)**2/3
Let f be (8/14)/((-14)/(-49)). Let i be (f - 0) + -5 + 7. Determine h so that 3*h**3 + 2*h**2 + i*h**3 + 2*h**4 - 3*h**3 = 0.
-1, 0
Let i(u) be the second derivative of 0*u**3 + 0*u**5 + 0*u**4 - 6*u + 1/45*u**6 + 0 + 0*u**2. Find d, given that i(d) = 0.
0
Let n(z) be the third derivative of z**7/420 + z**6/180 - z**5/30 + z**3/3 - 3*z**2. Let o(t) be the first derivative of n(t). Suppose o(a) = 0. Calculate a.
-2, 0, 1
Let f(n) be the second derivative of -2/27*n**4 + 0*n**2 - 2*n + 0*n**3 - 1/189*n**7 - 1/27*n**6 - 4/45*n**5 + 0. Let f(j) = 0. What is j?
-2, -1, 0
Let d(f) be the third derivative of -f**8/6720 + f**4/24 - 3*f**2. Let y(m) be the second derivative of d(m). Factor y(g).
-g**3
Let l(g) be the third derivative of g**8/16