)/(1/(-3)). Let r be 3/(-5) + 245/75. Factor -8/3 + r*i - m*i**2.
-2*(i - 2)**2/3
Let r be (-8)/(-4)*(5 + -2). Let g(u) = 4*u**2 + 5*u + 3. Let z(a) = 17*a**2 + 19*a + 11. Let x(v) = r*z(v) - 22*g(v). Find t such that x(t) = 0.
-2/7, 0
Let k be (-28)/126 - 2/(-9). Let t(q) be the third derivative of 0*q**4 + 0*q**5 - 1/315*q**7 + k + 0*q - 1/180*q**6 - 2*q**2 + 0*q**3. Factor t(r).
-2*r**3*(r + 1)/3
Let h(l) = l**4 - l**3 + l - 1. Let g(w) = 2*w**4 + w**3 - w**2 - w - 1. Let c(j) = g(j) - h(j). Find a such that c(a) = 0.
-2, -1, 0, 1
Let m be 15/12*(-4)/(-30). Let y(u) be the first derivative of 2/5*u**5 + 0*u + 0*u**3 - m*u**6 - 1/4*u**4 + 0*u**2 - 1. What is o in y(o) = 0?
0, 1
Let v(y) be the third derivative of -y**8/1176 - y**7/245 + 2*y**5/105 - 40*y**2. Let v(s) = 0. What is s?
-2, 0, 1
Solve -12/11*i + 0 + 2/11*i**2 = 0 for i.
0, 6
Let w(n) be the first derivative of 2*n**6/9 - n**5/5 - n**4/12 - 1. Factor w(s).
s**3*(s - 1)*(4*s + 1)/3
Let k(j) = 2*j - 15. Let r be k(10). Let -20*y**4 + 3*y**3 + 4*y**2 - r*y**3 - 12*y**5 - 5*y**3 + 3*y**3 = 0. What is y?
-1, 0, 1/3
Suppose 0 = 2*a + 3 - 331. Let h be (-3)/7 + a/252. Let -4/9*u + 0 + h*u**2 = 0. What is u?
0, 2
Suppose -14 = -4*r - 3*p, -2*p = r + 3*r - 12. Suppose 14*w**5 + 11*w**r - 18*w**4 + 4*w**3 - 11*w**2 = 0. Calculate w.
0, 2/7, 1
Let i be -2 + -1 + (-88)/(-14) - 3. Factor 0 + i*s**4 - 2/7*s + 2/7*s**3 - 2/7*s**2.
2*s*(s - 1)*(s + 1)**2/7
Let o(s) = -s**3 + 23*s**2 + 32*s + 9. Let a(i) = i**2 + 3*i**2 - 11*i**2 + i**2 - 8*i - 2. Let y(z) = -9*a(z) - 2*o(z). Find f such that y(f) = 0.
-2, 0
Let s(o) = -7*o**5 - 4*o**4 + 7*o**3 + 4*o**2 + 6*o. Let f(z) = -z**5 - z**4 + z**3 + z**2 + z. Let h(q) = -6*f(q) + s(q). Find x, given that h(x) = 0.
-1, 0, 1, 2
Let r = -637/9 - -71. Factor 2/9*t**2 + 0 + r*t.
2*t*(t + 1)/9
Let s(o) be the first derivative of -2*o**3/21 - 4*o**2/7 - 8*o/7 + 1. Factor s(x).
-2*(x + 2)**2/7
Find y such that 0 - 1/5*y**3 + 1/10*y**4 + 0*y + 0*y**2 = 0.
0, 2
Let w(i) be the first derivative of -8*i**5/45 - i**4/2 - 4*i**3/9 - i**2/9 - 24. What is m in w(m) = 0?
-1, -1/4, 0
Let b = -87/7 + 89/7. Factor -6/7*s**2 - b - 2/7*s**3 - 6/7*s.
-2*(s + 1)**3/7
Solve 3/4*d**2 - 3/4*d**4 - 1/2*d + 0 - 5/4*d**5 + 7/4*d**3 = 0.
-1, 0, 2/5, 1
Let x(g) be the second derivative of -4*g + 0 - 2/3*g**2 + 1/18*g**4 + 1/9*g**3. Factor x(n).
2*(n - 1)*(n + 2)/3
Let o = 30 + -28. Factor -1/4*q**o - 1/4*q + 0.
-q*(q + 1)/4
Let j = 1 - -1. What is v in -1/3 - 1/3*v**j + 2/3*v = 0?
1
Let b(y) be the third derivative of -2*y**7/315 + y**5/15 + y**4/9 - 37*y**2. Determine n so that b(n) = 0.
-1, 0, 2
Let q(g) be the first derivative of 2*g**7/189 + g**6/540 - g**5/135 - g**2 + 1. Let c(a) be the second derivative of q(a). Factor c(t).
2*t**2*(2*t + 1)*(5*t - 2)/9
Solve 26 + 3*j**4 - 6*j**3 - 52 - 12*j**4 + 27*j**2 + 38 + 36*j = 0 for j.
-1, -2/3, 2
Solve 0*u + 3/2*u**3 + 0 - 3*u**2 = 0.
0, 2
Let q be ((-2)/2)/((-4)/(-12)). Let j be 0 + 11/q + 4. Factor 0*g**3 - 1/3*g**5 + j*g - 2/3*g**4 + 0 + 2/3*g**2.
-g*(g - 1)*(g + 1)**3/3
Let v be (83 - 1) + (-20)/(-10). Let m be (v/16)/(-7)*-1. Factor -3/2*p - m*p**2 - 3/4.
-3*(p + 1)**2/4
Let m(o) be the second derivative of 3*o**5/5 + 5*o**4/4 - 7*o**3/2 - 3*o**2 - 5*o. Factor m(s).
3*(s - 1)*(s + 2)*(4*s + 1)
Factor -1/3*b**3 - 1/3*b + 2/3*b**2 + 0.
-b*(b - 1)**2/3
Let q(z) be the third derivative of z**8/10080 - z**7/1080 + z**6/540 - z**5/60 + z**2. Let n(g) be the third derivative of q(g). Factor n(x).
2*(x - 2)*(3*x - 1)/3
Let w(f) = f**3 + 5*f**2 + 2. Let v be w(-5). Factor -4*o**3 + 2*o - 4*o + 9 - v*o - o**4 - 10 - 6*o**2.
-(o + 1)**4
Let c(s) = 2*s - 5. Let x be c(4). Solve 51*r**2 + 0*r - 12*r**x + 4*r**4 - 4*r + 0*r**4 - 39*r**2 = 0 for r.
0, 1
Solve -3/7*p**2 + 0 - 9/7*p = 0 for p.
-3, 0
Let y(k) be the third derivative of k**7/2 - 5*k**6/6 + k**5/3 - 6*k**2. Factor y(s).
5*s**2*(3*s - 2)*(7*s - 2)
Let i(k) be the third derivative of -k**9/30240 + k**8/6720 - k**6/720 + k**5/240 + k**4/12 + k**2. Let z(s) be the second derivative of i(s). Factor z(n).
-(n - 1)**3*(n + 1)/2
Let f(h) = -h**2 - 4*h - 3. Let x be f(-3). Suppose -5*p + 4*o + 22 = x, p + 3*o = 5*o + 8. Factor -2/5*g**3 + 4/5*g**p + 2/5*g - 4/5.
-2*(g - 2)*(g - 1)*(g + 1)/5
Suppose -6 = -0*q - 2*q. Let r be (6/4)/((-3)/(-6)). Factor -1 + 5*f**2 + 0*f**r + 3*f - 3*f**q + 0 - 4*f**4.
-(f - 1)*(f + 1)**2*(4*f - 1)
Factor 2*c**2 + 0 - 4/3*c - 2/3*c**3.
-2*c*(c - 2)*(c - 1)/3
Suppose 8 - 2 = 2*q. Let f be 2*(-2 - (-14)/4). Solve -f*v**3 - 1 - 3*v**2 + 4*v**q + 5*v - 2*v = 0 for v.
1
Let o be (-292)/(-511) - (6/(-7) - -1). Let 0 + o*x - 3/7*x**2 = 0. Calculate x.
0, 1
Let g(y) = 18*y**4 - 3*y**3 - 9*y**2 - 27*y + 6. Let p(l) = -l**4 + l**3 + l**2 + l - 1. Let v(f) = g(f) + 15*p(f). Factor v(a).
3*(a - 1)*(a + 1)**2*(a + 3)
Suppose -3*v - 2*v + 7 = -4*z, 3*v - 5*z + 1 = 0. Let m(x) = -x**2 - 2*x. Let b be m(0). Factor -2/11*n**v + 0 + b*n + 0*n**2 - 4/11*n**4 - 2/11*n**5.
-2*n**3*(n + 1)**2/11
Let q be -2 - ((-10)/25 - 98/60). Let d(l) be the third derivative of 0*l - 2*l**2 + q*l**5 + 0*l**4 - 1/3*l**3 + 0. Factor d(x).
2*(x - 1)*(x + 1)
Let n(h) = h**2 + 6*h + 7. Let y be (-2)/(-4) - 33/6. Let s be n(y). Factor -i**2 + 4*i**3 - 2 - s*i - 8*i**3 + 11*i - 2*i**2.
-(i - 1)*(i + 2)*(4*i - 1)
Let i(s) be the first derivative of -1/4*s**4 + 0*s**2 + 0*s - 1/3*s**3 - 5. Factor i(r).
-r**2*(r + 1)
Let f be (4 + -7)/((-3)/14). Determine j so that -2 + 20*j + 6 - f*j + 2*j**2 = 0.
-2, -1
Let t(c) be the first derivative of 3*c**5/5 + 3*c**4/2 - 2*c**3 + 7. Let n(o) = -3*o**4 - 5*o**3 + 5*o**2. Let q(x) = 6*n(x) + 5*t(x). Factor q(z).
-3*z**4
Let h(n) be the second derivative of -n**4/102 + 10*n**3/51 - 25*n**2/17 + n. Solve h(p) = 0.
5
Let i(j) be the third derivative of 0 + 0*j + 3/50*j**5 + 9/40*j**4 + 1/200*j**6 + 2*j**2 + 0*j**3. Solve i(k) = 0 for k.
-3, 0
Let w(a) be the first derivative of -2*a + 1/60*a**6 + 13/24*a**4 + a**2 + a**3 + 3/20*a**5 + 1. Let s(c) be the first derivative of w(c). Factor s(h).
(h + 1)**2*(h + 2)**2/2
Suppose 0 = -5*r + 3 + 2. Let r - 1 - 2*i + i**2 + 3*i = 0. What is i?
-1, 0
Let -24/5*r**2 + 14/5*r**3 - 8/5*r + 0 = 0. What is r?
-2/7, 0, 2
Let w(g) be the first derivative of -3*g**5/5 + 12*g**4 - 14*g**3 - 24*g**2 + 45*g + 60. Suppose w(j) = 0. Calculate j.
-1, 1, 15
Factor 2/9*i**3 - 4/9*i**4 + 0*i**2 + 2/9*i**5 + 0 + 0*i.
2*i**3*(i - 1)**2/9
Let v be 882/56 + -12 - 1/4. Let j be 2/(-11) + (-147)/(-22). Factor j*o - 1 - 27/2*o**2 - v*o**4 + 23/2*o**3.
-(o - 1)**3*(7*o - 2)/2
Suppose -4*p - 21*r = -19*r - 12, -4*p + r + 6 = 0. Factor 3/2*h**p + 0 - 3/2*h.
3*h*(h - 1)/2
Let f(a) = -a + 1. Let y(q) = -27*q**2 + 66*q - 18. Let b(w) = -6*f(w) - y(w). Let b(z) = 0. Calculate z.
2/9, 2
Suppose -5*x + 15 = -5*m, -3*m + 7 = x - 8. Let q(o) be the third derivative of 0 - 1/300*o**x + 0*o + 0*o**3 + 1/30*o**4 + 1/150*o**5 + 3*o**2. Factor q(i).
-2*i*(i - 2)*(i + 1)/5
Let c(a) be the second derivative of -a**6/60 - a**5/10 + 4*a**3/3 + 2*a**2 - 3*a. Let h(z) be the first derivative of c(z). Factor h(l).
-2*(l - 1)*(l + 2)**2
Let g = -4 + 12. Factor g*j - 10*j**2 + j**5 - 7*j**2 + 0*j**5 - 7*j**4 - 3*j**2 + 18*j**3.
j*(j - 2)**3*(j - 1)
Let j(d) = -d**2 - d - 4. Let c = 13 - 9. Let t(u) = 3*u**2 + 2*u + 9. Let y(v) = c*t(v) + 10*j(v). Factor y(o).
2*(o - 2)*(o + 1)
Let d(r) = r**2 - r - 2. Let t be d(-2). Let y = -421 - -2109/5. Factor -18/5*s**2 - 2*s**t + 24/5*s**3 + y*s + 0.
-2*s*(s - 1)**2*(5*s - 2)/5
Let d be (4*2/24)/4. Let b(r) be the third derivative of 0*r - 2*r**2 + 1/60*r**6 - d*r**4 + 1/30*r**5 + 0 - 1/3*r**3. Suppose b(k) = 0. What is k?
-1, 1
Let v = -258 - -1296/5. Suppose -3/5*l**2 - 9/5*l - v = 0. What is l?
-2, -1
Determine n, given that 4*n + 0*n**2 - n**2 + 5*n**2 = 0.
-1, 0
Let v = -3366/35 + 676/7. Factor -32/5 - v*c**2 - 16/5*c.
-2*(c + 4)**2/5
Let s be 1*-3 - (-3)/1. Suppose s*r - 4*r + 16 = 0. Suppose -1/3*m**r + m**3 - m**2 + 1/3*m + 0 = 0. What is m?
0, 1
Let a be -6 - (-2 - 0) - -4. Let p(f) be the first derivative of -2 - 1/8*f**2 - 1/10*f**5 + 1/6*f**3 + a*f + 1/16*f**4. Factor p(d).
-d*(d - 1)*(d + 1)*(2*d - 1)/4
Suppose 0*t + 3*t + 6 = 4*c, -2*t = -2*c + 4. Let v = 0 + c. Factor 0 + 2/3*w - 2/3*w**3 + v*w**2.
-2*w*(w - 1)*(w + 1)/3