*2 - m**4 = 0. What is m?
-1, -2/5, 0
Let f(z) be the first derivative of z**5/7 - 3*z**4/28 - 2*z**3/21 + 4. Factor f(n).
n**2*(n - 1)*(5*n + 2)/7
Let v be (-60)/(-6) + (-2)/1. Let -2*r**2 + 8*r**2 + 3*r**4 + r**3 + v*r**3 + 0*r**4 = 0. Calculate r.
-2, -1, 0
Let t = -164 + 657/4. Factor -t*x**3 + 0 + 0*x - 1/4*x**2.
-x**2*(x + 1)/4
Factor 0 + 3/2*n + n**2.
n*(2*n + 3)/2
Factor -4/5 - 2*w + 22/5*w**2 - 8/5*w**3.
-2*(w - 2)*(w - 1)*(4*w + 1)/5
Let q(b) be the first derivative of -b**6/18 - b**5/3 + 36. Let q(v) = 0. What is v?
-5, 0
Let g(x) = -x + 16. Let k be g(13). Factor h**2 + 3*h + h**2 - 1 + k + h.
2*(h + 1)**2
Let t(x) be the third derivative of -x**5/20 - x**4/4 - 26*x**2. Factor t(g).
-3*g*(g + 2)
Let r(o) be the second derivative of 1/60*o**6 + 0*o**4 + 0 + o - 1/20*o**5 - 1/4*o**2 + 1/6*o**3. Let r(f) = 0. What is f?
-1, 1
Let l(g) be the second derivative of g**3/3 + g**2 - g. Let q be l(2). Factor -s**4 - 5*s**4 + 3*s**5 + q*s**2 + 9*s - 12*s.
3*s*(s - 1)**3*(s + 1)
Let t(l) = 4*l + 118. Let n be t(-29). Determine w, given that 2/5*w - 4/5 + 2/5*w**n = 0.
-2, 1
Let z(o) = 5*o**3 - 11*o**2 + 5*o + 3. Let d(n) = -6*n**3 + 12*n**2 - 4*n - 4. Let m(b) = -3*d(b) - 4*z(b). Solve m(k) = 0 for k.
0, 2
Suppose 0 = 13*m - 24*m + 22. Factor -1/2*t - 1/2*t**5 + m*t**4 - 3*t**3 + 0 + 2*t**2.
-t*(t - 1)**4/2
Let u(g) be the first derivative of g**5/20 - g**4/12 - g**3/6 + g**2/2 - 3*g - 1. Let w(m) be the first derivative of u(m). Factor w(z).
(z - 1)**2*(z + 1)
Factor -40/7*z**4 + 0 - 6/7*z**3 + 4/7*z**2 + 0*z.
-2*z**2*(4*z - 1)*(5*z + 2)/7
Suppose 8/5*b**2 + 0 - 3/5*b**3 + 3/5*b = 0. What is b?
-1/3, 0, 3
Suppose -5*j = -2*z - z - 62, z = -2*j + 16. Factor 41*r - 7*r + j*r**2 - 1 + 13.
2*(r + 3)*(5*r + 2)
Let p(c) be the first derivative of -3*c**4/2 - 14*c**3/3 + 7*c**2 + 6*c + 8. Factor p(t).
-2*(t - 1)*(t + 3)*(3*t + 1)
Let q(v) = 88*v**3 + 300*v**2 + 116*v + 10. Let w(o) = -264*o**3 - 899*o**2 - 347*o - 29. Let m(a) = 14*q(a) + 4*w(a). Determine u so that m(u) = 0.
-3, -1/4, -2/11
Let b(v) be the third derivative of v**4/24 - v**3/2 + v**2. Let m be b(3). Factor 0*h + m*h**2 - 2/5*h**3 - 2/5*h**4 + 0.
-2*h**3*(h + 1)/5
Let v(p) be the second derivative of p**6/720 - p**4/48 + p**3/3 - 2*p. Let n(y) be the second derivative of v(y). Factor n(x).
(x - 1)*(x + 1)/2
Let k(l) be the second derivative of -l**7/63 - l**6/45 + l**5/30 + l**4/18 + 9*l. Let k(u) = 0. Calculate u.
-1, 0, 1
Suppose -5*w = -48 + 33. Determine d so that 4/3*d**4 + 0*d + 0 - d**w - 1/3*d**2 = 0.
-1/4, 0, 1
Let m be 4/(-8)*(0 - 278). Let k = -553/4 + m. Find o, given that -k*o + 0 - 3/4*o**2 = 0.
-1, 0
Let v(l) be the third derivative of l**6/360 - 40*l**2. Find z, given that v(z) = 0.
0
Let b(s) = 3 - s**3 - 6 + 4 + 0*s**2 - s**2. Let t(h) = -4 + 3*h**4 + 12*h**2 - 4*h - 5*h**4 + 3*h**4 - h**3. Let w(m) = -4*b(m) - t(m). Factor w(u).
-u*(u - 2)**2*(u - 1)
Suppose -16*g + 11*g = -5. Let v(c) be the first derivative of -16/15*c**3 - 7/5*c**2 + 4/25*c**5 + 1/15*c**6 + g - 4/5*c - 1/5*c**4. Let v(w) = 0. Calculate w.
-1, 2
Let n(v) = 36*v**3 + 61*v**2 - 23*v + 2. Let q(m) = -m**2. Let y(j) = 3*n(j) + 3*q(j). Solve y(c) = 0.
-2, 1/6
Let v be ((20/5)/(-24))/(2/(-4)). Let o(y) be the first derivative of 1 + v*y**3 + 0*y + y**2. Find r, given that o(r) = 0.
-2, 0
Factor -5/3*a**4 + 0 - 4/3*a**2 - 1/3*a**5 + 0*a - 8/3*a**3.
-a**2*(a + 1)*(a + 2)**2/3
Suppose 0 - 8/5*r**2 + 0*r + 36/5*r**3 = 0. What is r?
0, 2/9
Let p(i) = 2*i**2 - 8*i - 6. Let d be p(9). Let f = d + -250/3. Solve 0 + f*o + 2/3*o**2 = 0 for o.
-1, 0
Let o(j) be the second derivative of -5*j + 3/20*j**5 + 0*j**2 + 0*j**4 + 1/30*j**6 - 2/3*j**3 + 0. Determine b so that o(b) = 0.
-2, 0, 1
Let m(a) be the third derivative of -a**7/70 + 3*a**6/40 - a**4/2 - 8*a**2. Determine j so that m(j) = 0.
-1, 0, 2
Let c = -519/7 + 70072/945. Let b(x) be the second derivative of -1/30*x**5 + 4/27*x**3 + 2*x + 0 + 0*x**2 - c*x**6 + 0*x**4. What is o in b(o) = 0?
-2, 0, 1
Let x(b) be the third derivative of -b**8/1344 + b**6/480 + 14*b**2. Factor x(w).
-w**3*(w - 1)*(w + 1)/4
Let j(w) be the third derivative of w**8/112 - w**7/10 - 9*w**6/20 - w**5/10 + 17*w**4/8 + 9*w**3/2 - 2*w**2 - 7. Find y such that j(y) = 0.
-1, 1, 9
Let s = 6 - 1. Let u(h) = 3*h**3 - 2*h**2 + h + 6. Let w(l) = -4*l**3 + 2*l**2 - l - 7. Let n(q) = s*u(q) + 4*w(q). Factor n(i).
-(i - 1)*(i + 1)*(i + 2)
Let u(i) be the third derivative of i**5/210 - 4*i**4/21 + 64*i**3/21 + 38*i**2. Factor u(z).
2*(z - 8)**2/7
Let f be 1 + 2 - (-1 + 3). Let a be -2 - -5 - (f - 0). Determine k, given that k**a - 4*k**3 - 3*k**4 - 2*k**3 + 2*k**3 + 2*k = 0.
-1, 0, 2/3
Let h(t) be the second derivative of -2*t**7/21 + 2*t**6/45 + 8*t**5/15 + 4*t**4/9 - 17*t. Suppose h(c) = 0. Calculate c.
-1, -2/3, 0, 2
Let o = 23 + -21. Factor o*b**5 + 2*b**4 + 3*b**3 + 14*b**2 - 16*b**2 - 5*b**3.
2*b**2*(b - 1)*(b + 1)**2
Let y(g) be the second derivative of 0*g**2 + 0 + 1/150*g**6 + 1/100*g**5 + g - 1/30*g**4 + 0*g**3. Factor y(k).
k**2*(k - 1)*(k + 2)/5
Let u(l) be the third derivative of l**7/10080 + l**6/1440 + l**5/480 + l**4/24 - 3*l**2. Let h(g) be the second derivative of u(g). Factor h(r).
(r + 1)**2/4
Let v(j) be the third derivative of -j**8/4480 - j**7/1008 - j**6/1440 + j**5/240 - j**4/8 - 4*j**2. Let w(p) be the second derivative of v(p). Factor w(t).
-(t + 1)**2*(3*t - 1)/2
Solve -3 + 3 - r**2 - 2*r + r = 0 for r.
-1, 0
Let p = -16 + 27. Let k = p + -9. Factor -3*s**4 + 4*s**2 + 4*s**k + 3*s**3 - 3*s**5 - 6*s**2 + s**2.
-3*s**2*(s - 1)*(s + 1)**2
Factor -20 - r**3 + r**2 - 2*r**2 - 12 + 7*r**2.
-(r - 4)**2*(r + 2)
Let p(o) = -2*o**3 - 8*o**2 + o + 7. Let a be p(-4). Suppose -4/9*i**2 + 0 - 2/3*i**a + 0*i + 10/9*i**4 = 0. Calculate i.
-2/5, 0, 1
Factor 8/5*l**2 + 4/5*l**3 - 16/5*l - 32/5.
4*(l - 2)*(l + 2)**2/5
Suppose -47*r**2 - 53*r**2 - 11*r**2 + 540*r + 21*r**2 - 1080 + 5*r**3 = 0. What is r?
6
Let p = 10 + -8. Factor -15*u**2 + 6*u**2 + u**3 + 7*u**p.
u**2*(u - 2)
Let m be (-3)/6*-4*1. Factor -2*n + 6*n**2 - 2*n**5 + 4*n**3 - 4*n**m - 2*n**2.
-2*n*(n - 1)**2*(n + 1)**2
Let c(q) be the second derivative of 0*q**2 + 0 + 1/45*q**6 + 1/30*q**5 + 0*q**3 + 1/54*q**4 - 2*q + 1/189*q**7. What is z in c(z) = 0?
-1, 0
Let m(h) = -3*h**2 - 9*h + 6. Let v(d) = -1. Let g(b) = -m(b) - 6*v(b). Find f, given that g(f) = 0.
-3, 0
Let d be 1 + 6 - (-20)/(-5). Let r(o) be the first derivative of 1/6*o**4 - 2/9*o**3 + 2/15*o**5 - 1/3*o**2 + 0*o + d. Factor r(a).
2*a*(a - 1)*(a + 1)**2/3
Find b, given that 1/7*b**2 + 0 - 3/7*b = 0.
0, 3
Let h(m) = -2*m**3 + 12*m**2 + 20*m - 4. Let c(j) = -j**2 - j + 1. Let y(b) = 10*c(b) + h(b). Factor y(w).
-2*(w - 3)*(w + 1)**2
Let j(m) be the second derivative of m**6/420 - m**5/70 + m**4/28 - m**3/21 - m**2/2 + 4*m. Let l(p) be the first derivative of j(p). Factor l(o).
2*(o - 1)**3/7
Let v be 10/(-4)*(-8)/35. Determine r so that 2/7*r**5 + 4/7*r**2 - 2/7 - v*r**3 + 2/7*r - 2/7*r**4 = 0.
-1, 1
Let p be 1/(-6) - (-28)/42. Let a = 8 + -6. Factor 1/2*x**a - 1 + p*x.
(x - 1)*(x + 2)/2
Let n = 145 - 141. Determine d so that 8/3*d**n + 0 + 0*d + 2*d**5 + 0*d**2 + 2/3*d**3 = 0.
-1, -1/3, 0
Let o(j) be the first derivative of j**3/3 + j**2 + j + 9. Factor o(n).
(n + 1)**2
Let w(r) be the first derivative of -r**4/4 + r**3/3 - r + 4. Let m(q) = q**4 + 6*q**3 + 7*q**2 + 4*q + 1. Let l(p) = 2*m(p) + 2*w(p). Factor l(j).
2*j*(j + 1)*(j + 2)**2
Let r(w) be the third derivative of w**8/26880 - w**7/3360 + w**6/1440 - w**4/6 - 3*w**2. Let x(i) be the second derivative of r(i). Factor x(p).
p*(p - 2)*(p - 1)/4
Suppose 0 = -t + 4*h - 2, -5*h = -2*t + 2 + 6. Let f = t - 10. Factor 0*z**2 + 0 - 1/4*z**3 + 0*z - 1/4*z**f.
-z**3*(z + 1)/4
Factor 2 - 8*g**3 - 5 - 6*g - 18*g - 5 + 30*g**2.
-2*(g - 2)**2*(4*g + 1)
Find b, given that 10*b**2 + 3 - 20*b - 10 - 8 + 45*b = 0.
-3, 1/2
Let n(j) = j**3 - 1. Let b(a) = -a**4 - a**3 - 3*a**2 - 4*a + 9. Let g(o) = b(o) + 5*n(o). What is u in g(u) = 0?
-1, 1, 2
Suppose -5*w + 30 - 10 = 0. Let c(f) be the first derivative of -2 + 2*f - 2*f**w + 2/5*f**5 - 4*f**2 + 4*f**3. Find n, given that c(n) = 0.
1
Let r(x) be the first derivative of x**7/630 - x**6/180 + x**4/36 - x**3/18 + 3*x**2/2 - 3. Let d(l) be the second derivative of r(l). Fact