) be the second derivative of 0*r**5 + 5*r + 0*r**2 - 1/4*r**4 + 0 + 0*r**3 + 1/10*r**6. Suppose m(w) = 0. What is w?
-1, 0, 1
Let j(b) = -b**2 - b - 1. Let d(s) = 4 + 4 + 14*s - 1 + 22*s**2. Let q(x) = -d(x) - 6*j(x). Factor q(r).
-(4*r + 1)**2
Let h(a) = 2*a**5 - 2*a**4. Let p(z) = 2*z**5 - z**4 - z**3. Let w(n) = 3*h(n) - 2*p(n). Find y such that w(y) = 0.
0, 1
Solve -392*o + 28*o**2 + 5488/3 - 2/3*o**3 = 0 for o.
14
Suppose 4*h - h - 10 = j, j - 4*h + 14 = 0. Suppose 0 + 0*z + 3/4*z**j + 3/2*z**3 + 3/4*z**4 = 0. What is z?
-1, 0
Let h(u) = u**4 - u**2 - u + 1. Let g(x) = 6*x**4 - 24*x**3 - 27*x**2 + 111*x - 66. Let b(r) = g(r) - 9*h(r). What is d in b(d) = 0?
-5, 1
Let f be 6/(-2)*(1 - 2). Suppose -5*x = 3*c - 1, 10*x + 9 = 2*c + 5*x. Find k such that 44*k**c - 44*k**2 + k**4 - 2*k + 2*k**f - 1 = 0.
-1, 1
Let a(f) be the second derivative of 2*f**7/7 + 2*f**6/15 - f**5/4 - f**4/6 - 5*f. Let a(d) = 0. Calculate d.
-1/2, 0, 2/3
Let u be 4/20 - (-2)/(-10). Let k(y) = -2*y. Let b be k(u). Factor 2/9*q**2 + 0 + 4/9*q**3 + 2/9*q**4 + b*q.
2*q**2*(q + 1)**2/9
Let m(w) be the third derivative of 0 - 1/42*w**4 + 2/3*w**3 - 3*w**2 + 0*w + 1/1260*w**6 + 1/420*w**5. Let y(c) be the first derivative of m(c). Factor y(x).
2*(x - 1)*(x + 2)/7
Let -x**5 + 3*x**4 + 3*x**3 - 5*x**4 + x**4 + 5*x**2 + 2*x = 0. Calculate x.
-1, 0, 2
Suppose 5*z - z = 0. Let i(a) be the first derivative of 0*a**2 + 2/5*a**5 - 1/2*a**4 + z*a - 4/3*a**3 + 1. Let i(k) = 0. Calculate k.
-1, 0, 2
Let k be 2*-10*(-2)/28. Let a = 4 + -26/7. Factor a + 8/7*d**2 + k*d.
2*(d + 1)*(4*d + 1)/7
Suppose 0 = -13*y + 6*y - 21. Let t be 0*(-2 - y)*1. Suppose 0*b**3 + 1/4*b**4 + 0*b - 1/4*b**2 + t = 0. Calculate b.
-1, 0, 1
Let u be (8/(-14))/(4/(-14)). Suppose 0 = -4*t + u*v + 6, -3*v - 2*v = 4*t + 15. Factor -3*w + w + 2*w**3 + t*w.
2*w*(w - 1)*(w + 1)
Let u(r) be the second derivative of 0*r**2 - r + 0 + 1/10*r**5 + 1/15*r**6 + 0*r**4 + 0*r**3. Factor u(a).
2*a**3*(a + 1)
Let u(z) be the second derivative of z**4/30 - 4*z**2/5 - 8*z. Find a such that u(a) = 0.
-2, 2
Let n = 290/9 - 32. Factor -2/3*y**2 - 2/9*y**3 + 4/9 + 2/9*y + n*y**4.
2*(y - 2)*(y - 1)*(y + 1)**2/9
Let w(u) = u**4 - 17*u**3 - 11*u**2 + 17*u. Let c(r) = 2*r**4 - 25*r**3 - 16*r**2 + 25*r. Let h(y) = -5*c(y) + 7*w(y). Factor h(s).
-3*s*(s - 2)*(s - 1)*(s + 1)
Let b(n) be the third derivative of -1/900*n**6 - 1/90*n**4 + 0*n - 2*n**2 + 0 + 0*n**3 - 1/150*n**5. Let b(s) = 0. Calculate s.
-2, -1, 0
Let r be (-1)/(-2)*(-16)/(-2). Factor -t - 2*t**2 + 4*t - r*t + 1.
-(t + 1)*(2*t - 1)
Let c(a) be the first derivative of 2*a**5/25 + a**4/10 - 4*a**3/15 + 2. Solve c(m) = 0 for m.
-2, 0, 1
Let o = 26 - 19. Let k(y) be the second derivative of 0 - 1/231*y**o + 1/55*y**5 - 2*y + 1/33*y**4 - 1/33*y**3 - 1/165*y**6 - 1/11*y**2. Factor k(p).
-2*(p - 1)**2*(p + 1)**3/11
What is v in 10/7*v - 12/7 - 2/7*v**2 = 0?
2, 3
Let t(a) be the first derivative of -10 + 2/3*a**3 + 1/2*a**4 + 0*a**2 + 0*a. Factor t(h).
2*h**2*(h + 1)
Let j = 11 - 1. Let f = j + -8. Find b such that -2/3*b**f - 4/3*b + 0 = 0.
-2, 0
Let n(k) be the third derivative of -k**7/4200 - 5*k**4/12 - 6*k**2. Let y(w) be the second derivative of n(w). Factor y(v).
-3*v**2/5
Let k be (15/18)/((-1)/(-2)). Find u, given that 1/3*u**5 - k*u**3 + 8/3*u - 1/3*u**4 + 4/3 + 1/3*u**2 = 0.
-1, 2
Suppose -4*n + 0 - 16/3*n**2 - 4/3*n**3 = 0. What is n?
-3, -1, 0
Let g(y) be the first derivative of 2*y**3/15 - 6*y**2 + 90*y + 34. Find w, given that g(w) = 0.
15
Let p(f) be the first derivative of -12*f**5/5 - 8*f**4 - 4*f**3 + 4*f**2 + 10. Solve p(x) = 0.
-2, -1, 0, 1/3
Let v(t) be the first derivative of 8*t + 2/3*t**3 + 4*t**2 - 5. Suppose v(c) = 0. Calculate c.
-2
Factor -1/2*c**3 + 0*c + 0 - c**2.
-c**2*(c + 2)/2
Let i = 26 + -23. Let m(z) be the second derivative of 0 + 1/60*z**4 + z + 0*z**i + 0*z**2. Let m(n) = 0. Calculate n.
0
Let w be (-10)/(-15) + 6/(-9). Let q(d) be the second derivative of -1/30*d**6 - 1/10*d**5 - 1/12*d**4 + w*d**2 + 0*d**3 + 0 + d. Determine x so that q(x) = 0.
-1, 0
Let f = 31/162 - 2/81. Let u(q) be the second derivative of -1/36*q**4 + 2*q - 1/9*q**3 - f*q**2 + 0. Factor u(z).
-(z + 1)**2/3
Let f = 42 + -83/2. Let z = 0 + f. Factor 1/4*c - 1/4*c**2 + z.
-(c - 2)*(c + 1)/4
Suppose 0 = 2*j - 5*d + 22, 3*j + 4*d - 12 = 1. Let n be 5*(j - (-14)/10). Factor 2/5*c**3 + 2/5 - 2/5*c - 2/5*c**n.
2*(c - 1)**2*(c + 1)/5
Let r(f) = 2*f. Let b be r(2). Find g such that 0*g**4 - 5 + 0*g**b - 3*g**4 + 6*g**2 + 2 = 0.
-1, 1
Let c = -3215/3 + 1072. Factor -1/2*h**2 + 0 - 1/6*h**3 - c*h.
-h*(h + 1)*(h + 2)/6
Let x(h) be the third derivative of -1/60*h**6 - 1/15*h**5 + 0*h**3 + 5*h**2 + 0*h + 0*h**4 + 0. Factor x(a).
-2*a**2*(a + 2)
Let u(r) = 2*r + 2. Let g(p) = -1 - 14*p - 10 + p**2 + 3*p + 0*p**2. Suppose -5*k - 35 = 20. Let t(a) = k*u(a) - 2*g(a). Find i such that t(i) = 0.
0
Suppose 0*g**2 + 3/5*g**3 - 3/5*g**4 + 0 + 0*g = 0. What is g?
0, 1
Let i = -95/3 - -32. Factor -4/3*z - 1 - i*z**2.
-(z + 1)*(z + 3)/3
Let p(l) = l**4 - l**3 + 2*l**2 - 1. Let z(o) = -o**2 + 5 - o**3 + 2 - 5 - 1. Let a(s) = 2*p(s) + 2*z(s). Factor a(x).
2*x**2*(x - 1)**2
Suppose 7*k**3 - 5*k**3 - 6*k**3 + 16 - 28*k**2 + 12*k**4 + 4*k**5 = 0. Calculate k.
-2, -1, 1
Factor -3/4*h + 0 + h**2 - 1/4*h**3.
-h*(h - 3)*(h - 1)/4
Let b(m) = -m**2 - 6*m - 5. Let f(r) = r**2 + 3*r + 2. Let y(p) = -4*b(p) - 9*f(p). Factor y(v).
-(v + 1)*(5*v - 2)
Suppose 5*u - 160 = -3*o, 2*o + 5*u - 210 = -2*o. Let x = 70 - o. Find s such that -20*s**3 - 2 - 10*s - x*s**2 + 3*s**5 - 6*s**5 - 10*s**4 + s**5 = 0.
-1
Suppose 0 = -5*s + 2*p + 16, 4*s - 4*p = -0*s + 20. Suppose -s*d = 2*d - 8. Factor 1/2*f**3 + 0 + 0*f - 1/2*f**d.
f**2*(f - 1)/2
Let f(s) be the second derivative of -1/1800*s**6 + 0 + s - 1/200*s**5 + 0*s**2 + 1/2*s**3 - 1/60*s**4. Let j(d) be the second derivative of f(d). Factor j(g).
-(g + 1)*(g + 2)/5
Let j(f) be the second derivative of -f**6/10 + 3*f**5/5 - f**4/2 - 2*f**3 + 9*f**2/2 + 11*f. What is c in j(c) = 0?
-1, 1, 3
Let l(t) = -12*t**5 + 3*t**4 - 3*t**2 + 12*t. Let f(d) = -d**5 - d**4 + d**3 + d**2. Let q(y) = 9*f(y) - l(y). Let q(i) = 0. Calculate i.
-1, 0, 1, 2
Let r(s) = -2*s + 6 - 5*s + 5*s + 0. Let m be r(3). Factor -4/5 + m*k + 3/5*k**2 - 1/5*k**3.
-(k - 2)**2*(k + 1)/5
Let v be 2876/2424 - 3/6. Let x = v + -2/101. Factor -x*w + 1/3*w**2 + 1/3.
(w - 1)**2/3
Let q be -1 + 2 + (-6)/(-4). Let m = -2 + q. Determine t so that -1/2 + m*t**2 - 1/2*t + 1/2*t**3 = 0.
-1, 1
Let w be 1/7 - (-14 + 14). Let x(y) be the second derivative of w*y**2 - 1/35*y**5 + y + 0*y**4 + 0 - 1/105*y**6 + 2/21*y**3. What is d in x(d) = 0?
-1, 1
Suppose -4 = -m - m. Determine y so that -2 + m*y**2 + 2*y + 2 = 0.
-1, 0
Suppose 0 = -i + 1 + 2. Solve 3*n**2 - 3*n + 3*n**i - 5 + 0*n + 1 + 1 = 0 for n.
-1, 1
Let c be (4/(-40)*18)/((-3)/10). Let a(q) be the first derivative of -1/2*q**4 + 2/3*q**c + 3 - 2/5*q**5 + 0*q**2 + 0*q + 0*q**3. Factor a(i).
2*i**3*(i - 1)*(2*i + 1)
Let t(l) be the second derivative of -9*l**5/110 - 8*l**4/11 - 52*l**3/33 - 16*l**2/11 - 9*l. What is p in t(p) = 0?
-4, -2/3
Let j(g) = 0*g**2 - 3*g - 4*g**2 + 24 - 28. Let y be (-4)/(-2) - -1*3. Let h(d) = -d**2 - d - 1. Let k(l) = y*h(l) - j(l). Factor k(i).
-(i + 1)**2
Let a(t) be the third derivative of -t**10/120960 + t**9/60480 + t**4/24 + 3*t**2. Let q(n) be the second derivative of a(n). Solve q(l) = 0 for l.
0, 1
Let g = 1/117 + 1/52. Let v(z) be the second derivative of -g*z**4 - z + 0 - 2/9*z**3 - 2/3*z**2. Factor v(a).
-(a + 2)**2/3
Let i be 2 + 0 + (0 - 1). Let r be ((-8)/12)/(i/(-6)). Suppose w**r - 2*w**5 + w**5 + 0*w**5 = 0. Calculate w.
0, 1
Let q be 1/(-2)*-4 - -1. Solve 2*u**q + 2 + 3 + 3*u**5 - 7*u + 6*u**2 - 8*u**4 - 3 + 2*u**3 = 0.
-1, 2/3, 1
Let q(w) = w**3 + w. Let f(o) = 2*o**3 - o**2 + 3*o. Let d(n) = 2*f(n) - 6*q(n). Determine s so that d(s) = 0.
-1, 0
Let o(j) be the third derivative of 0 - 9/40*j**6 - 5/112*j**8 + 0*j**4 - j**2 + 6/35*j**7 + 1/10*j**5 + 0*j + 0*j**3. Suppose o(l) = 0. What is l?
0, 2/5, 1
Let f(w) be the first derivative of -4/11*w - 4 + 1/11*w**2 + 2/33*w**3. Factor f(p).
2*(p - 1)*(p + 2)/11
Factor 0 - 4/7*p**2 + 2/7*p**3 - 6/7*p.
2*p*(p - 3)*(p + 1)/7
Suppose -t + 5*f - 10 = 0, -4*f + 3 = -2*t - 5. Suppose 2 = 