**3/3 - 2*g**2 - 7*g. Let f(z) = 0. What is z?
-2, -1
Let b be ((22/(-8))/11)/(2/(-4)). What is a in 1/2*a**5 + b + a**2 - 3/2*a - 3/2*a**4 + a**3 = 0?
-1, 1
Let g = 3/20 + 3/5. Determine w so that g*w + 1/2 + 0*w**2 - 1/4*w**3 = 0.
-1, 2
Let g(u) be the first derivative of -1/5*u**2 - 2 + 1/15*u**3 + 0*u. Let g(o) = 0. Calculate o.
0, 2
Let r(q) be the first derivative of -q**4/28 - 8*q**3/21 - 13*q**2/14 - 6*q/7 + 32. Let r(o) = 0. What is o?
-6, -1
Let m(u) = 3*u**3 + u. Let v(x) be the second derivative of -13*x**5/20 + x**4/12 - 2*x**3/3 + 3*x. Let s(d) = -9*m(d) - 2*v(d). Factor s(q).
-q*(q + 1)**2
Let j = 10/119 + 1/17. Let k(c) be the first derivative of -2/7*c**2 - 3 - j*c**6 + 0*c + 2/21*c**3 + 5/14*c**4 - 2/35*c**5. Find q such that k(q) = 0.
-1, 0, 2/3, 1
Suppose 817 = 3*r - 308. Let o = 2631/7 - r. Find w such that -o*w**2 - 2/7 + 8/7*w = 0.
1/3, 1
Let q(t) be the second derivative of t**6/195 - 2*t**5/65 + 5*t**4/78 - 2*t**3/39 - 7*t. Suppose q(i) = 0. Calculate i.
0, 1, 2
Let h(m) be the third derivative of m**5/390 + 5*m**4/78 + 25*m**3/39 + 13*m**2. Factor h(b).
2*(b + 5)**2/13
Factor -1/2*s + 1/2 - 1/2*s**2 + 1/2*s**3.
(s - 1)**2*(s + 1)/2
Let n(p) = -4*p**3 + 10*p**2 - 9*p + 1. Let s(l) = l**3 - l**2 + l - 1. Let y(f) = -n(f) - 3*s(f). Let v be y(6). Factor 2/5*a**v + 0 - 2/5*a.
2*a*(a - 1)/5
Factor 0*d - 3/7*d**4 + 1/7 - 8/7*d**3 - 6/7*d**2.
-(d + 1)**3*(3*d - 1)/7
Let s(u) = -2*u**3 - 4*u**2 + 9*u - 8. Let q(t) = -2*t**3 - 4*t**2 + 10*t - 8. Let p(f) = 5*q(f) - 4*s(f). Factor p(o).
-2*(o - 1)**2*(o + 4)
Let b be (-4)/(-6)*(5 - 2). Factor -1029*g**5 + 666*g**b + 896*g**4 + 263*g**3 - 186*g**2 + 48*g + 280*g**4 + 1249*g**3.
-3*g*(g - 2)*(7*g + 2)**3
Suppose -6*v = -3*v + 6. Let h = v + 7. Let -1 + 11/2*f + 8*f**4 - 7*f**2 - 7/2*f**h - 2*f**3 = 0. Calculate f.
-1, 2/7, 1
Let w = 15809/5 + -158021/50. Let y = w - -3/25. Factor y*h**2 - 3/2*h - 1/2*h**3 + 1/2.
-(h - 1)**3/2
Factor -g**3 - 2 - 4*g + 2*g**3 + 3*g**3 + 2*g**4.
2*(g - 1)*(g + 1)**3
Let w(v) be the third derivative of -5/672*v**8 + 1/12*v**4 - 3*v**2 - 1/35*v**7 + 1/10*v**5 + 1/240*v**6 + 0*v**3 + 0 + 0*v. Suppose w(z) = 0. Calculate z.
-2, -1, -2/5, 0, 1
Let b(o) = -2*o**2 - 2*o - 3. Let z(w) = w**2 + 2*w + 2. Let c(s) = 2*b(s) + 3*z(s). Factor c(g).
-g*(g - 2)
Let q be (-78)/(-1) + -4 + 4. Factor 6*l - 78 + 3*l**2 + q.
3*l*(l + 2)
Let m = 5/51 - -4/17. Factor 0 + 0*q - m*q**5 - q**3 + q**4 + 1/3*q**2.
-q**2*(q - 1)**3/3
Let p(h) = -h**2 - 16*h - 29. Let q(y) = -170*y - 270. Let a(g) = -19*g - 30. Let f(j) = 35*a(j) - 4*q(j). Let n(i) = -2*f(i) - 3*p(i). Factor n(v).
3*(v + 3)**2
Let b(z) = z**2 + 15*z - 10. Let k(u) = u**2. Let d(g) = b(g) - 6*k(g). Let d(j) = 0. What is j?
1, 2
Suppose -2*t + 4*t - 50 = 0. Let m be ((-5)/t)/((-2)/14). Factor 0*y**2 + 2/5*y**3 + 0 + y**5 - m*y**4 + 0*y.
y**3*(y - 1)*(5*y - 2)/5
Let d(t) be the first derivative of -t**6/18 - 2*t**5/15 + t**4/4 + 4*t**3/9 - 2*t**2/3 - 1. Determine z, given that d(z) = 0.
-2, 0, 1
Let i be 3*(-28)/(-6) + 0. Let u be (-4)/(-22) + i/44. Suppose -1/4*y - u*y**2 + 1/2 + 1/4*y**3 = 0. Calculate y.
-1, 1, 2
Let f be (-7)/21*-6*1. What is h in 3*h + 0 + h - f - h - h**2 = 0?
1, 2
Let w(o) = -4*o**4 + 8*o**3 + 4*o + 4. Let d(i) = -i**3 - i - 1. Let h(x) = 4*d(x) + w(x). Factor h(q).
-4*q**3*(q - 1)
Let -4/13*m**2 - 2/13 - 6/13*m + 2/13*m**5 + 6/13*m**4 + 4/13*m**3 = 0. Calculate m.
-1, 1
Let d = 937/4 - 233. Factor 1/4*u - 3/4*u**3 - 1/2*u**5 - d*u**4 + 0 + 1/4*u**2.
-u*(u + 1)**3*(2*u - 1)/4
Suppose 0 = -5*j - 5, -3*t = -2*t + 4*j. Let o be 10/t + 2/(-4). Let -2*r - 8*r**2 + 6*r + 11*r**o + 1 = 0. Calculate r.
-1, -1/3
Let z(r) be the second derivative of -r**7/720 - r**6/720 + r**4/12 - 5*r. Let p(g) be the third derivative of z(g). Factor p(f).
-f*(7*f + 2)/2
Let y(w) be the third derivative of -7*w**5/30 + 5*w**4/6 - 17*w**3/6 + 4*w**2. Let o(i) = 5*i**2 - 7*i + 6. Let g(k) = 17*o(k) + 6*y(k). Factor g(p).
p*(p + 1)
Suppose -2*y = i, 2*y = 4*y + 2. Let h(a) be the first derivative of 2/3*a**3 - 1/6*a**4 + 2/3*a - a**i + 1. Suppose h(x) = 0. Calculate x.
1
Let z(s) be the third derivative of 4*s**7/525 - s**5/30 + s**3/15 - 13*s**2. Suppose z(t) = 0. What is t?
-1, -1/2, 1/2, 1
Suppose 0*b - 2*b + l = -2, 2*b = 4*l - 10. Suppose -3*d + 3 + b = 0. Find o, given that -3*o**d + 6 + 3*o + 0*o + 1 - 1 = 0.
-1, 2
Let k be (-156)/(-11) + 6/(-33). Suppose 4*i - k = o, -5*i - o + 30 = 4*o. Let -2/5*f + 2/5*f**5 + 4/5*f**2 + 0*f**3 - 4/5*f**i + 0 = 0. What is f?
-1, 0, 1
Let g(y) be the third derivative of y**8/6720 - y**7/420 + y**6/60 + 3*y**5/20 + 2*y**2. Let h(l) be the third derivative of g(l). Find z such that h(z) = 0.
2
Suppose -162/13 - 2/13*g**2 - 36/13*g = 0. What is g?
-9
Let t(z) be the third derivative of -z**6/96 + 5*z**5/48 - 5*z**4/12 + 5*z**3/6 - z**2. Factor t(d).
-5*(d - 2)**2*(d - 1)/4
Let k(y) be the first derivative of 2*y**5/55 - y**4/11 - 8*y**3/33 + 2*y**2/11 + 6*y/11 + 4. Find x, given that k(x) = 0.
-1, 1, 3
Let b = 273/2 + -135. What is f in 3/2 + b*f**2 + 3*f = 0?
-1
Let p be 114/95*(-15)/(-4). Factor c**3 - p*c**5 - 1/2*c + 6*c**4 - 2*c**2 + 0.
-c*(c - 1)**2*(3*c + 1)**2/2
Let a(v) be the first derivative of v**3/15 - v/5 - 6. Find p, given that a(p) = 0.
-1, 1
Let t(o) be the first derivative of -o**5/30 - o**4/6 + 3*o**2/2 - 2. Let p(h) be the second derivative of t(h). Factor p(l).
-2*l*(l + 2)
Let d be ((-5)/4)/(3/12). Let i be d/12 - (-4)/6. Factor -1/4*u**2 + 0*u - i*u**3 + 0.
-u**2*(u + 1)/4
Let y(n) be the first derivative of -n**6/7 - 4*n**5/7 + 3*n**4/7 + 16*n**3/7 - 11*n**2/7 - 12*n/7 - 34. Solve y(w) = 0.
-3, -2, -1/3, 1
Factor 0 + 0*a**2 + a - 1/4*a**3.
-a*(a - 2)*(a + 2)/4
Let c(n) = -n**2 + n - 7. Let y be c(0). Let f = y - -10. Determine t, given that 6*t**3 - 6*t**f + t**4 - t**5 = 0.
0, 1
Solve 2/5*u**3 - 2/5 - 6/5*u**2 + 6/5*u = 0.
1
Let a(n) be the third derivative of -n**5/75 + n**4/15 - 2*n**3/15 + 24*n**2 - 2*n. Let a(b) = 0. What is b?
1
Let f(z) = 18*z**3 + 6*z**2 + 12*z + 9. Suppose 5*x = 4*g + 17, 3*x + 2*g + 2*g + 9 = 0. Let t(k) = k**3 + k + 1. Let w(s) = x*f(s) - 15*t(s). Factor w(r).
3*(r - 1)*(r + 1)*(r + 2)
Let v(u) be the third derivative of u**8/5880 - u**6/1260 + u**3/3 + 3*u**2. Let j(s) be the first derivative of v(s). Factor j(l).
2*l**2*(l - 1)*(l + 1)/7
Let t(d) be the third derivative of -d**5/20 - d**4 - 8*d**3 + 2*d**2. Factor t(u).
-3*(u + 4)**2
Let w = 35 + -18. Let k(v) = 5*v**3 + 5*v**2 + 8*v - 6. Let t(z) = -14*z**3 - 14*z**2 - 23*z + 17. Let x(c) = w*k(c) + 6*t(c). Solve x(r) = 0.
-2, 0, 1
Let y(n) be the second derivative of n**7/252 + n**6/180 - n**5/120 - n**4/72 - 6*n. Factor y(t).
t**2*(t - 1)*(t + 1)**2/6
Let v be (-8)/(-3)*81/108. Factor -2*t + 2*t**v + 4/9.
2*(3*t - 2)*(3*t - 1)/9
Let g(d) be the first derivative of d**6/360 + d**5/40 + d**4/12 - 5*d**3/3 - 2. Let b(v) be the third derivative of g(v). Determine s, given that b(s) = 0.
-2, -1
Factor 0 - 1/4*m**5 + 1/2*m**4 + 0*m - 1/4*m**3 + 0*m**2.
-m**3*(m - 1)**2/4
Let w = 1/4 - -5/4. Let h(c) = -c + 21. Let o be h(16). Suppose -1/2*b**o + w*b**4 - b**3 + 3/2*b - 1/2 - b**2 = 0. Calculate b.
-1, 1
Let o(a) be the first derivative of 1 + 0*a**2 + 0*a**3 + 2*a + 1/36*a**4. Let v(w) be the first derivative of o(w). Factor v(y).
y**2/3
Let l(k) be the third derivative of -3/2*k**4 + 0 + 0*k - 1/40*k**6 + 4*k**3 + 8*k**2 + 3/10*k**5. Solve l(o) = 0 for o.
2
Let h(u) be the second derivative of -u**7/252 + u**6/60 - u**5/40 + u**4/72 - 16*u. Factor h(a).
-a**2*(a - 1)**3/6
Let x be ((-6)/2)/(3/(-2)). Factor -x*v**3 - 4*v**2 + 5*v + 4*v**3 - 3*v.
2*v*(v - 1)**2
Let x = 10 - 6. Let r(o) be the first derivative of 0*o - 2 - 1/10*o**x + 0*o**3 + 1/5*o**2. Let r(a) = 0. Calculate a.
-1, 0, 1
Let t(d) be the second derivative of -5*d**4/12 - 23*d. Factor t(a).
-5*a**2
Let a(f) be the third derivative of f**5/35 + f**4/8 + 3*f**3/14 - 9*f**2. Solve a(x) = 0 for x.
-1, -3/4
Let o(k) be the second derivative of 1/15*k**5 + 1/18*k**4 - 1/126*k**7 + 0 + 0*k**6 - 1/3*k**2 - 1/6*k**3 + 2*k. Solve o(b) = 0 for b.
-1, 1, 2
Let x(v) be the first derivative of v**6/30 - 2*v**5/25 + 2*v**3/15 - v**2/10 + 6. Solve x(p) = 0.
-1, 0, 1
Suppose -27 + 2 = -5*u, 0 = a + 4*u - 22. Let w(p) be the secon