) be the third derivative of o**7/210 - o**5/60 + 5*o**2. Factor m(w).
w**2*(w - 1)*(w + 1)
Let w(c) be the first derivative of 16*c**3/27 - 11*c**2/9 + 2*c/3 - 24. Solve w(g) = 0.
3/8, 1
Suppose -q + 6 = 3. Suppose -18*j - 2 - 14*j**2 - 5 + q = 0. What is j?
-1, -2/7
Let k(r) be the second derivative of 3*r**7/56 + r**6/40 - 3*r**5/40 + 24*r. Factor k(g).
3*g**3*(g + 1)*(3*g - 2)/4
Let y(o) = -9*o**4 - 12*o**3 + 9*o**2 - 6. Let f(u) = 8*u**4 + 11*u**3 - 8*u**2 - u + 5. Let p(r) = 6*f(r) + 5*y(r). Factor p(i).
3*i*(i - 1)*(i + 1)*(i + 2)
Let t be (-140)/(-6) - 13/39. Let d = t - 21. Factor -2/3*g**4 + 0*g + 2/3*g**d + 0 + 0*g**3.
-2*g**2*(g - 1)*(g + 1)/3
Suppose -b + 8 - 4 = 0. Let r(z) be the third derivative of 0*z + 0*z**3 - 1/120*z**6 + 0 - z**2 + 1/24*z**b + 0*z**5. Factor r(n).
-n*(n - 1)*(n + 1)
Let q(f) be the first derivative of -3*f**5/5 + 3*f**4/4 + f**3 - 3*f**2/2 - 1. Factor q(p).
-3*p*(p - 1)**2*(p + 1)
Let r be 10/15 - (-16)/12. Suppose -3/2 + b + 1/2*b**r = 0. Calculate b.
-3, 1
Let s(t) be the third derivative of -t**5/420 + t**4/28 + 13*t**2. Let s(l) = 0. Calculate l.
0, 6
Let o(n) be the second derivative of n**7/105 - n**6/12 + 4*n**5/15 - n**4/3 - 3*n**2 - 6*n. Let q(f) be the first derivative of o(f). Factor q(h).
2*h*(h - 2)**2*(h - 1)
Solve b**2 + b**2 - b**3 - 4*b**2 = 0.
-2, 0
Let k(w) be the first derivative of -2/5*w**5 - 1 - 1/14*w**6 + 1/14*w**2 - 4/7*w**3 - 11/14*w**4 + 2/7*w. Find g such that k(g) = 0.
-2, -1, 1/3
Let p(m) be the first derivative of m**3/6 + 3*m**2/2 + 3. Factor p(x).
x*(x + 6)/2
What is d in 0 - 3/4*d**2 + 3/4*d**3 - 3/2*d = 0?
-1, 0, 2
Let d be (10/15)/((-2)/(-6)). Let 6*b**3 - 2 - 2*b**3 - 4*b**d - 2*b**5 + 4 - 2*b + 2*b**4 = 0. What is b?
-1, 1
Let h = 253 - 1261/5. Let l = 6 + -4. Suppose -8/5*c**3 - 6/5*c**l - h + 18/5*c = 0. Calculate c.
-2, 1/4, 1
Suppose 5 - 6*q + 5*q**2 + 3*q**2 - 5*q**2 - 2*q**2 = 0. Calculate q.
1, 5
Let i(v) be the second derivative of -v**7/42 - v**6/15 + v**5/20 + v**4/6 + 11*v. Factor i(k).
-k**2*(k - 1)*(k + 1)*(k + 2)
Let t(r) = -r**3 + 24*r**2 - 21*r - 43. Let k be t(23). Solve 1/2*v**k + 1/2*v**2 + 0 + 0*v = 0 for v.
-1, 0
Let r(d) be the first derivative of -2*d**5/55 - 5*d**4/22 - 6*d**3/11 - 7*d**2/11 - 4*d/11 + 21. Factor r(a).
-2*(a + 1)**3*(a + 2)/11
What is o in 2/3*o**2 + 0*o + 4/3*o**4 - 1/3*o**5 - 5/3*o**3 + 0 = 0?
0, 1, 2
Let m(f) be the first derivative of -5*f**6/6 + 5*f**5 - 45*f**4/4 + 35*f**3/3 - 5*f**2 + 6. Solve m(o) = 0.
0, 1, 2
Let h(x) be the second derivative of x**6/30 + 3*x**5/20 + x**4/12 - x**3/2 - x**2 + 8*x. Let h(f) = 0. What is f?
-2, -1, 1
Suppose 2*j + 3*z + 2 = 0, 4*j + 7*z = 3*z. Factor j*r + 3*r - 2*r - 3*r**3.
-3*r*(r - 1)*(r + 1)
Let n(q) = 20*q**2 + 18*q - 4. Let c(i) = -100*i**2 - 91*i + 20. Let p(x) = 2*c(x) + 11*n(x). Solve p(m) = 0 for m.
-1, 1/5
Solve -15/2*r**3 + 0 - 9/4*r**4 - 2*r - 7*r**2 = 0.
-2, -2/3, 0
Let v be 0 - -2 - -2 - 1. Suppose 0 = -v*b + 1 + 5. Factor -s**5 - 3*s**3 + b*s**5 + 2*s**3.
s**3*(s - 1)*(s + 1)
Factor -2*o - o**2 - 7 + 3 + 3.
-(o + 1)**2
Let h = 155/3 - 51. Solve 1/3*i**2 + 1/3*i - h = 0 for i.
-2, 1
Let y(k) be the second derivative of k**5/170 - 5*k**4/102 + k**3/17 + 9*k**2/17 + 5*k. Factor y(n).
2*(n - 3)**2*(n + 1)/17
Suppose -4*f + 30 = -2*q, -5*f + q - 5*q + 44 = 0. Let c = 13 - f. Factor -3*j**3 - 2*j**4 + 2*j + 2*j**c + j**2 + 4*j + j**4 - 5*j.
j*(j - 1)**2*(j + 1)*(2*j + 1)
Let o(l) = 13 - 6*l**2 + 4*l**5 - 15*l**3 - 2*l**5 + 19*l**2. Let n(m) = -m**5 + 7*m**3 - 6*m**2 - 6. Let c(s) = 13*n(s) + 6*o(s). Solve c(w) = 0.
-1, 0, 1
Let j be (12/9)/((-4)/(-6)). Suppose j - 5*b**3 - 2*b - 3*b**2 - b**3 - 7*b**2 = 0. Calculate b.
-1, 1/3
Let y(a) be the second derivative of -1/4*a**2 - 3/80*a**5 + 4*a + 1/8*a**3 + 1/48*a**4 + 1/120*a**6 + 0. Find g, given that y(g) = 0.
-1, 1, 2
Let y(x) be the first derivative of -x**4/12 - x**3 - 9*x**2/2 + 2*x + 6. Let z(o) be the first derivative of y(o). Factor z(t).
-(t + 3)**2
Suppose -3*z = 4*d - 8, -4 = -2*d - 6. Factor 0 - 2/3*y**2 - 4/3*y**3 + 0*y - 2/3*y**z.
-2*y**2*(y + 1)**2/3
Factor 0 - 5*d + 5/2*d**2.
5*d*(d - 2)/2
Let z(x) = 6*x**2 + 3. Let f(q) = -11*q**2 + q - 5. Let w(s) = 3*f(s) + 5*z(s). Let w(p) = 0. Calculate p.
0, 1
Let t = 60 - 296/5. Factor -2/5*w + 0 + 6/5*w**3 - t*w**2.
2*w*(w - 1)*(3*w + 1)/5
Let v(s) = s**3 - 11*s**2 + s - 8. Let h be v(11). Solve 0*d**4 - d**2 + 3*d**4 + h*d**4 - 5*d**4 = 0 for d.
-1, 0, 1
Let q = -5 + -5. Let t be (q/(-15))/((-12)/(-27)). What is r in -3/2*r**2 + 0 + 1/2*r - 1/2*r**4 + t*r**3 = 0?
0, 1
Let u(s) be the first derivative of 4 + 1/4*s**4 + 1/2*s**2 + 2/3*s**3 + 0*s. Determine l so that u(l) = 0.
-1, 0
Let j = 6 + -4. Suppose 4 + 4 = 2*m. Determine a, given that -2*a**3 + 2*a**2 + 2*a + 0*a**2 - j*a**m + 0*a**4 = 0.
-1, 0, 1
Let r(m) be the third derivative of -m**7/10080 - m**6/480 - 3*m**5/160 - m**4/6 + 5*m**2. Let l(a) be the second derivative of r(a). Factor l(w).
-(w + 3)**2/4
Let u(h) = 5*h - 5. Let i be u(3). Let k be (16/i)/(3 - 2). Factor -k*m + 0 + 8/5*m**2 - 2/5*m**3.
-2*m*(m - 2)**2/5
Determine a, given that 35*a**2 - 5*a**3 + 0*a**2 + 30 - 5*a**4 + 65*a + 0*a**4 = 0.
-2, -1, 3
Let n = 10 + -8. What is s in 1/3*s**n + 3 + 2*s = 0?
-3
Let j(v) = v**5 + v**4 + v**3 - v**2. Let p(s) = -8*s**5 - 11*s**4 - 5*s**3 + 11*s**2 + 3*s. Let z(o) = 5*j(o) + p(o). Factor z(t).
-3*t*(t - 1)*(t + 1)**3
Let p(j) be the first derivative of -1/5*j - 3/10*j**2 - 1/5*j**3 - 1/20*j**4 + 1. Determine x, given that p(x) = 0.
-1
Suppose -32/7 + 46/7*i**2 - 6/7*i**3 - 80/7*i = 0. Calculate i.
-1/3, 4
Let g = 1 - 3. Let r be ((-2)/g - -1) + 1. Determine i, given that -4*i**3 - i**4 - i**2 + 3*i**4 + r*i**2 = 0.
0, 1
Let h(b) be the first derivative of 2*b + 7/6*b**6 - 16/5*b**5 - 11/2*b**2 + 14/3*b**3 + b**4 - 1. Let h(t) = 0. Calculate t.
-1, 2/7, 1
Let z(m) be the first derivative of m**4/8 + 10. Find v, given that z(v) = 0.
0
Let q(n) = n**2 - n - 2. Let m be 6 - ((-1)/(-1) - -2). Let l be q(m). Factor 3*b**5 + 12*b**3 + 3*b**2 - 5*b**3 - 5*b**2 - 8*b**l.
b**2*(b - 1)**2*(3*b - 2)
Let w(g) be the first derivative of 4 - 8/3*g**3 - 4*g**4 + 4/3*g**6 + 4/5*g**5 + 4*g**2 + 4*g. Let w(b) = 0. What is b?
-1, -1/2, 1
Suppose -k + 3*k = 5*n - 10, 3*k = 2*n + 7. Suppose l**2 + 13*l**5 + 5*l**2 - 4*l**5 - 12*l**3 - 6*l**n + 3*l + 0*l = 0. What is l?
-1, -1/3, 0, 1
Let r(t) be the first derivative of -1/2*t**4 + 0*t**2 + 2/9*t**3 + 0*t + 1. Solve r(w) = 0.
0, 1/3
Let k = 1 - 1. Let p = -258 + 1808/7. Determine q, given that 0 + k*q**2 - p*q**4 + 0*q - 2/7*q**3 = 0.
-1, 0
Suppose 0 = 2*n - 4*n + c + 9, 0 = -n - 4*c. Suppose 0 = 4*f - 9 - 7. Factor 3*g**3 - 4*g**2 - 2*g**n - 2*g**3 + 5*g**2 + g**f - g.
-g*(g - 1)**2*(g + 1)
Let w(o) be the first derivative of o**5/15 + 7*o**4/12 + 13*o**3/9 - o**2/2 - 6*o + 75. Suppose w(j) = 0. What is j?
-3, -2, 1
Let d(c) be the first derivative of -2 - 3*c - 1/9*c**4 - 1/9*c**6 + 0*c**3 - 7/30*c**5 + 0*c**2. Let j(t) be the first derivative of d(t). Solve j(a) = 0.
-1, -2/5, 0
Let -8/9*i**3 + 20/9*i**4 + 8/9*i + 0 - 20/9*i**2 = 0. What is i?
-1, 0, 2/5, 1
Let f(h) be the second derivative of -5*h**7/168 + h**6/40 + 7*h**5/80 - h**4/16 - h**3/12 + 5*h. Solve f(i) = 0 for i.
-1, -2/5, 0, 1
Let k(a) be the first derivative of -a**3/12 - a**2/2 + 12. Let k(d) = 0. Calculate d.
-4, 0
Let z = -179 + 5381/30. Let h(w) be the second derivative of -w + 1/5*w**2 + 1/30*w**6 + 7/20*w**4 - z*w**3 + 0 - 17/100*w**5. Factor h(s).
(s - 1)**3*(5*s - 2)/5
Let 16/9*p - 2/9*p**4 + 4/3*p**2 + 2/3 + 0*p**3 = 0. What is p?
-1, 3
Let c(z) be the second derivative of 1/40*z**6 + 0*z**3 + 4*z - 3/40*z**5 + 0 + 0*z**4 + 0*z**2. Solve c(x) = 0 for x.
0, 2
Let g(u) be the third derivative of 1/40*u**6 + 0*u**5 + 0 + 0*u - u**2 + 0*u**7 + 0*u**3 - 1/112*u**8 + 0*u**4. What is p in g(p) = 0?
-1, 0, 1
Let b = -212 - -212. Solve -1/5*q - 2/5*q**2 + 1/5*q**5 + 0 + 2/5*q**4 + b*q**3 = 0 for q.
-1, 0, 1
Let w be (-7)/5*(48/(-21) + 2). Let -6/5*b**3 + 4/5 - w*b**4 + 6/5*b - 2/5*b**2 = 0. What is b?
-2, -1, 1
Let w(l) = -3*l**4 - l**3 - l**2 + l + 4. Let c(j) = -j**3 + j**2 + j - 1. Let i(t) = -6*c(t) - 2*w(t). Factor i(o).
2*(o - 1)*(o + 1)**2*(3*o + 1)
Factor 144*a**4 + a**2 + a**2 - 146*a**4.
-2*a**2*(a - 1