 1
Let x be (8/(-2))/2*1. Let b be 58/18 + x/9. Factor 1/4*a + 0 + 1/4*a**b + 1/2*a**2.
a*(a + 1)**2/4
Let y be (0 - (-5)/10)*0. Factor y + 0*n - 1/3*n**2.
-n**2/3
Let u(g) be the first derivative of -2*g**5/15 - g**4/6 + g**3/9 - 5*g + 2. Let f(d) be the first derivative of u(d). Find r such that f(r) = 0.
-1, 0, 1/4
Let g be 0 + 1/(-16)*-4. Factor -g*k**4 - 3/4*k**3 + 0 - 1/2*k**2 + 0*k.
-k**2*(k + 1)*(k + 2)/4
Let s(y) be the second derivative of y**5/70 + y**4/6 + 5*y**3/7 + 9*y**2/7 - 41*y. Suppose s(r) = 0. Calculate r.
-3, -1
Let s = 1 - 6. Let f be (4 - 5)*2/s. Find y such that 0 - f*y**2 + 2/5*y**3 + 2/5*y**4 - 2/5*y = 0.
-1, 0, 1
Let j(i) be the first derivative of i**6/18 - 2*i**5/5 + 13*i**4/12 - 4*i**3/3 + 2*i**2/3 + 3. Factor j(b).
b*(b - 2)**2*(b - 1)**2/3
Let n = -12 - -4. Let u(f) = f**3 + 8*f**2. Let o be u(n). Factor -t**3 + 6*t + o*t - t**4 + t**5 + t**2 - 6*t.
t**2*(t - 1)**2*(t + 1)
Let z(m) be the first derivative of -m**5/180 + m**4/36 + m**2/2 + 3. Let v(l) be the second derivative of z(l). Factor v(i).
-i*(i - 2)/3
Factor -6/5*v**2 - 6/5*v - 2/5*v**3 - 2/5.
-2*(v + 1)**3/5
Let w(t) be the first derivative of t**6/360 - t**5/30 + t**4/8 + 2*t**3 + 5. Let g(r) be the third derivative of w(r). Factor g(y).
(y - 3)*(y - 1)
Let s(k) be the first derivative of k**4/14 + 2*k**3/21 - 4*k**2/7 - 8*k/7 + 9. What is a in s(a) = 0?
-2, -1, 2
Let i(v) = -v**5 + 4*v**4 - 9*v**3 + v**2 + 2*v + 3. Let n(x) = -3*x**5 + 12*x**4 - 26*x**3 + 4*x**2 + 5*x + 8. Let r(t) = -8*i(t) + 3*n(t). Solve r(g) = 0.
0, 1
Let -2*f**2 - 18 + 19 - 6*f - 1 = 0. Calculate f.
-3, 0
Suppose -3*l + 39 = 10*l. Solve 343/6*k**5 + 0 + 637/6*k**4 + 46/3*k**2 + 63*k**l + 4/3*k = 0.
-1, -2/7, 0
Let f = -18 + 26. Suppose 6*i + 10 = 4*h + i, -4*h - 4*i - f = 0. Determine u, given that h*u - 2*u**2 + 3*u - 5*u + 4 = 0.
-2, 1
Let g(h) be the first derivative of h**3/9 + h**2/6 - 2*h/3 - 15. Find m, given that g(m) = 0.
-2, 1
Factor 4*u**3 + 14*u - 11*u - 7*u.
4*u*(u - 1)*(u + 1)
Let z be (-52)/(-210) + (-6)/30. Let o(y) be the second derivative of 1/21*y**4 + 0 - y + 0*y**2 - 2/105*y**6 + 0*y**5 + z*y**3 - 1/147*y**7. Solve o(x) = 0.
-1, 0, 1
Let x be 3/(-3)*(-9)/12. Suppose -2 + 0 = -w. Find c, given that 1/4*c**3 + 0*c + x*c**w - 1 = 0.
-2, 1
Let a be ((-84)/18 - -5)/(4/6). Solve -3/2*k**4 + a*k**5 + 3/2*k**3 + 0 + 0*k - 1/2*k**2 = 0.
0, 1
What is s in 2*s**4 - 12/5*s - 22/5*s**2 + 0 + 24/5*s**3 = 0?
-3, -2/5, 0, 1
Suppose -5*v = 5*u - 10*v - 20, 3*u + 3*v = -12. Let d(q) = -2*q + 2. Let s be d(u). Factor 4/11*g**s + 2/11*g**5 - 2/11*g + 0*g**3 - 4/11*g**4 + 0.
2*g*(g - 1)**3*(g + 1)/11
Let r = 8 - 1. Let k(x) be the third derivative of 1/315*x**r + 1/9*x**4 - 1/30*x**5 + 0*x - 1/90*x**6 + 0 + x**2 + 4/9*x**3. Let k(f) = 0. Calculate f.
-1, 2
Let i(g) be the third derivative of -g**2 + 2/3*g**3 + 0 - 7/12*g**4 - 2/15*g**5 + 0*g. Let i(w) = 0. Calculate w.
-2, 1/4
Suppose j = -0*j + 24. Let y = 26 - j. Factor 2/5*o**5 - 2/5*o - 4/5*o**4 + 4/5*o**y + 0*o**3 + 0.
2*o*(o - 1)**3*(o + 1)/5
Suppose 4 = 3*m - 2*f - 7, f = -4. Let o(n) = 18*n**4 + 12*n**3 + 6*n**2 - 27*n - 9. Let z(j) = -j**4 + j. Let s(y) = m*o(y) + 15*z(y). Solve s(g) = 0 for g.
-3, -1, 1
Let b be (-1)/4 - 82/(-8). Let i be (18/(-45))/((-24)/b). Find m such that -i - 1/6*m**2 - 1/3*m = 0.
-1
Let x(k) = 21*k**2 + 6*k. Let d(b) = 2*b + 1. Let j be d(6). Let n(m) = -8*m + 21*m**2 - j*m + 27*m. Let u(i) = -3*n(i) + 2*x(i). Factor u(s).
-3*s*(7*s + 2)
Let w(m) be the third derivative of 0*m**3 + 0 + 0*m + 3*m**2 + 1/72*m**4 + 1/360*m**5 - 1/360*m**6 - 1/1260*m**7. What is x in w(x) = 0?
-2, -1, 0, 1
Let 23*c + 37*c - 20*c**2 - 40 + 5*c**3 - 10*c**2 = 0. Calculate c.
2
Let o(k) be the third derivative of -k**8/672 + k**7/1680 + k**6/48 - k**5/96 - k**4/12 + k**3/12 - 48*k**2. Suppose o(g) = 0. What is g?
-2, -1, 1/4, 1, 2
Let m(y) be the second derivative of -1/9*y**4 + 0 - 4*y + 0*y**3 - 1/30*y**5 + 0*y**2. Solve m(g) = 0 for g.
-2, 0
Let x(r) be the third derivative of -r**8/84 + 2*r**6/15 - 34*r**2. Determine c, given that x(c) = 0.
-2, 0, 2
Let n(j) = -2*j - 6. Let k be n(-4). Suppose 33 = 4*d + 5*x, 2 = k*d + x - 7. Solve -4*c + 5*c - d*c**4 - 2*c**3 + 2*c**2 + c = 0.
-1, 0, 1
Let t be (-3)/((-12)/8) + 2. Let d(c) be the third derivative of c**2 - 1/21*c**3 - 1/210*c**5 + 0*c - 1/42*c**t + 0. Factor d(b).
-2*(b + 1)**2/7
Factor -2/7*c**4 - 4/7*c - 10/7*c**2 - 8/7*c**3 + 0.
-2*c*(c + 1)**2*(c + 2)/7
Let j(r) be the second derivative of -r**6/40 + 3*r**5/40 + r**4/16 - r**3/4 + 5*r. Factor j(d).
-3*d*(d - 2)*(d - 1)*(d + 1)/4
Let x = 5/33 - -13/11. What is u in 4/3*u**2 - 2/3*u - 2/3 - 2/3*u**5 + x*u**3 - 2/3*u**4 = 0?
-1, 1
Determine i so that 15*i - 3 - 5*i**2 + 6 - 3 = 0.
0, 3
Suppose 6 - 19 = -4*m - u, -2*m + 17 = -3*u. Factor -1 + 2*p**5 + 1 - 40*p**m + 42*p**4.
2*p**4*(p + 1)
Let -1 + 0*p**2 - 3/2*p + 1/2*p**3 = 0. Calculate p.
-1, 2
Suppose 0*a - 5 = 2*g + 3*a, -2*a = -2. Let y = -3 - g. Determine o so that -12*o - y - 3*o**3 + 12*o**2 + 6 + 1 - 3*o = 0.
1, 2
Suppose -12*h + h = -22. Find b, given that 1/2*b**3 + 0 + 0*b**h - 1/2*b = 0.
-1, 0, 1
Let z(g) be the second derivative of -g**8/1680 - g**7/840 + g**6/360 + g**5/120 - g**3/3 - g. Let s(j) be the second derivative of z(j). What is p in s(p) = 0?
-1, 0, 1
Let -2/11*m**3 + 0*m**2 + 0 + 2/11*m = 0. What is m?
-1, 0, 1
Let r(p) be the second derivative of p**8/26880 - p**7/3360 + p**6/960 - p**5/480 + p**4/12 - 2*p. Let h(x) be the third derivative of r(x). Factor h(n).
(n - 1)**3/4
Let c(k) be the third derivative of -k**6/160 + k**5/15 + 13*k**4/96 - k**3/4 - 23*k**2. What is m in c(m) = 0?
-1, 1/3, 6
Factor 25*i + i**4 + 27*i**3 - 4*i**3 - 12*i**3 + 35*i**2.
i*(i + 1)*(i + 5)**2
Let j(p) be the third derivative of -p**6/780 + 2*p**5/195 + 11*p**4/156 + 2*p**3/13 - 10*p**2. Factor j(r).
-2*(r - 6)*(r + 1)**2/13
Let t(y) = y**4 + y**3 + y**2. Let s(n) = 27*n**4 + 15*n**3 - 37*n**2 + 26*n - 4. Let r(w) = -2*s(w) + 18*t(w). Solve r(o) = 0.
-2, 1/3, 1
Suppose 3*l = n + 20, -n = 2*l + 3*l - 28. Let p be (15/(-10))/(l/(-16)). Find b such that 3/4*b**p + 1 - 1/4*b**5 + 1/4*b**3 + 0*b - 7/4*b**2 = 0.
-1, 1, 2
Let y(k) = 2*k**3 - k**2 - 2*k - 5. Let h be 8/(-6)*12/(-8). Let m(f) = 10*f**h + 5*f - 7*f**2 - 6*f**3 + f**3 + 11. Let o(c) = -6*m(c) - 14*y(c). Factor o(l).
2*(l - 2)*(l - 1)*(l + 1)
Factor -2/7*x**2 - 2/7*x + 0.
-2*x*(x + 1)/7
Let m = 33 - 27. Let t(l) be the third derivative of -1/60*l**4 + 0*l**3 + 0 - 1/525*l**7 + 1/150*l**5 + 1/300*l**m + 0*l + l**2. Factor t(c).
-2*c*(c - 1)**2*(c + 1)/5
Let u(z) be the third derivative of -z**6/1080 + z**4/72 + z**3/6 - 2*z**2. Let l(o) be the first derivative of u(o). Find b, given that l(b) = 0.
-1, 1
Let k be (-6 - (-120)/18)*3. Factor -2/7*v**k - 4/7*v + 0.
-2*v*(v + 2)/7
Let m(y) be the third derivative of 0*y**6 - 1/8*y**4 - 5*y**2 + 0*y**3 + 1/10*y**5 + 0*y + 0 + 1/112*y**8 - 1/35*y**7. Let m(s) = 0. What is s?
-1, 0, 1
Suppose 5*r = -0*r - 2*r. Let r*h - 2/11*h**2 + 2/11 = 0. What is h?
-1, 1
Let n(y) = 63*y**2 + 90*y + 20. Let b(s) = -31*s**2 - 45*s - 10. Let t(g) = 7*b(g) + 4*n(g). Factor t(d).
5*(d + 1)*(7*d + 2)
Let g be -5 + 9 + 28/(-8). Determine d, given that 2*d + d**2 - g*d**3 - 4 = 0.
-2, 2
Let l = 3/29 + 37/203. Determine s so that 12/7*s**2 + 0*s + l*s**3 + 0 - 30/7*s**4 = 0.
-3/5, 0, 2/3
Let a(l) be the third derivative of 0*l**4 + 1/40*l**6 + 0*l + 0*l**3 + 0 - 1/20*l**5 - l**2. What is d in a(d) = 0?
0, 1
Let w(f) = 8*f**2 + f + 1. Let i be w(-1). Let i*b**4 - 6*b**3 + 6*b + 4 + 0 + b**4 - 12*b**2 - 1 = 0. What is b?
-1, -1/3, 1
Let u(x) be the third derivative of x**8/840 + x**7/105 + 2*x**6/75 + 2*x**5/75 + 7*x**2. Suppose u(m) = 0. Calculate m.
-2, -1, 0
Let y(b) = b**2 - 9*b + 3. Let i be y(9). Let l = -5 - -5. Factor 0 - 2/3*k**2 + l*k + 2/3*k**i.
2*k**2*(k - 1)/3
Let r = 11 - 0. Suppose -10 = 6*w - r*w. Suppose 2*a**2 + 2/3 + 2/3*a**3 + w*a = 0. What is a?
-1
Let p = -663 - -667. Factor 7/2*m**5 - 1/2*m + 1 - 8*m**2 + 17*m**3 - 13*m**p.
(m - 1)**4*(7*m + 2)/2
Let y(h) be the third derivative of -h**5/40 - h**4/4 - h**3 + 20*h**2. Suppose y(z) = 0. What is z?
-2
Let a be 68/42 - (-32)/(-112). Let -a*n + 2/3*n**2 - 2 = 0. What is n?
-1, 3
Let i = -15 + 17. Let o(s) be the s