 0
Let p be ((-3)/(-30))/(-5*3/(-240)). Let k(b) be the first derivative of -8/3*b**3 + 3*b**4 + 1/3*b**6 - p*b**5 + 2 + 0*b + b**2. Factor k(s).
2*s*(s - 1)**4
What is y in 4 + 2*y**2 - 2*y - 4 - 2*y**4 - 2*y**3 + 4*y**3 = 0?
-1, 0, 1
Factor 2/9*v**2 + 2/9*v - 4/9.
2*(v - 1)*(v + 2)/9
Let p(r) = -r**2 - 16*r - 43. Let c be p(-12). Factor 9/5*w**4 - 9/5*w - 3/5 + 6/5*w**3 + 3/5*w**c - 6/5*w**2.
3*(w - 1)*(w + 1)**4/5
Let x(b) = -b + 5. Let j be x(2). Suppose 0 = -2*r, 1 = -j*v + 4*r + 7. Factor 0 + 0*f**v + 2/7*f**3 - 2/7*f.
2*f*(f - 1)*(f + 1)/7
Factor 13/4*h**2 + 1/4*h**4 + 1 + 3*h + 3/2*h**3.
(h + 1)**2*(h + 2)**2/4
Let k = 2 - 2. Suppose k = 5*r - 0*r. Suppose -2/5*m**3 + 0*m + r + 0*m**2 + 0*m**4 + 2/5*m**5 = 0. What is m?
-1, 0, 1
Find i such that 0 - 3/4*i + 3/4*i**2 = 0.
0, 1
Let f be 2 + (6 - 75/10). Factor 1/4 - f*y**3 - 1/4*y**2 + 1/2*y.
-(y - 1)*(y + 1)*(2*y + 1)/4
Let z be -2 - (1 - 6/2). Let o(h) be the third derivative of 0 + z*h - 1/24*h**4 - h**2 - 1/360*h**6 - 1/60*h**5 - 1/18*h**3. Factor o(m).
-(m + 1)**3/3
Let q be ((-111)/(-9))/(5/(-3)). Let b = q - -121/15. Factor 0*p + b*p**2 + 0.
2*p**2/3
Let t(w) be the second derivative of 0*w**3 - 1/14*w**7 + 0*w**5 - 5*w - 3/10*w**6 + 0*w**2 + w**4 + 0. Suppose t(o) = 0. What is o?
-2, 0, 1
Let n(d) be the first derivative of -12/25*d**5 - 1/5*d**4 + 8/15*d**6 + 0*d**2 + 2 + 0*d + 0*d**3. Find m such that n(m) = 0.
-1/4, 0, 1
Let v be 1 + 18/(1 + -2). Let o = -10 - v. Determine c so that c**3 + 4*c + o*c**3 + 14*c**2 - 2*c**3 - 14*c**4 - 10*c**5 = 0.
-1, -2/5, 0, 1
Let u(o) be the second derivative of -1/90*o**5 + 0 - 1/135*o**6 + 3*o + 2/9*o**2 + 5/27*o**3 + 1/18*o**4. Factor u(z).
-2*(z - 2)*(z + 1)**3/9
Suppose 4*a - 6 = z - 2, 5*a - 2*z = 8. Let c = -663 + 7301/11. Determine f, given that 0*f + a - c*f**3 + 2/11*f**2 = 0.
0, 1/4
Let g(r) be the second derivative of 3*r + 0 - 1/60*r**5 + 0*r**2 + 1/36*r**4 + 0*r**3. Factor g(q).
-q**2*(q - 1)/3
Factor 1/7*u**2 - 1/7*u - 2/7.
(u - 2)*(u + 1)/7
Factor -6*h**2 - 5*h + 8 + 0*h**3 + 2*h + h**4 - h + h**3.
(h - 2)*(h - 1)*(h + 2)**2
Let p = 1/272 + 511/8976. Let m = p - -29/66. Factor 1/2*y - m*y**3 + 0 + 1/2*y**2 - 1/2*y**4.
-y*(y - 1)*(y + 1)**2/2
Let y(j) be the first derivative of j**5 + 5*j**4/4 - 5*j**3/3 - 5*j**2/2 + 16. Factor y(f).
5*f*(f - 1)*(f + 1)**2
Let k be (-162)/(-420) + 1/(-3). Let h(w) be the third derivative of 0*w + 1/30*w**6 - 2*w**2 + 0*w**3 + k*w**5 + 0 + 1/42*w**4. Factor h(y).
2*y*(2*y + 1)*(7*y + 2)/7
Suppose -3*c + 3*u + 10 = 4, c - 8 = 4*u. Let s(n) be the first derivative of -1/3*n**2 + c*n**5 + 0*n + 0*n**3 - 1 + 1/3*n**4 - 1/9*n**6. Factor s(m).
-2*m*(m - 1)**2*(m + 1)**2/3
Suppose -2*j - 2*j - 132 = 5*h, 5*h + 3*j + 134 = 0. Let a be (-6)/h + 4/14. Factor -a*n + n**2 + 0 - 1/2*n**3.
-n*(n - 1)**2/2
Let -2*q**2 + 1/2*q + 1 + 1/2*q**5 - q**3 + q**4 = 0. Calculate q.
-2, -1, 1
Let z(r) be the second derivative of -r**7/28 - r**6/20 + 3*r**5/40 + r**4/8 + 8*r. Let z(f) = 0. Calculate f.
-1, 0, 1
Let s(h) = -4*h**3 - 17*h**2 - 7*h - 4. Let n(d) = -10*d**3 - 42*d**2 - 18*d - 10. Let t(z) = 5*n(z) - 12*s(z). Factor t(u).
-2*(u + 1)**3
Let q = -425/7 + 61. Solve q*z**2 - 2/7*z + 0 = 0.
0, 1
Let v(j) be the second derivative of j**7/2940 - j**6/1260 - j**5/210 + 2*j**3/3 - j. Let m(b) be the second derivative of v(b). Suppose m(u) = 0. What is u?
-1, 0, 2
Let m(t) be the third derivative of t**8/1176 - t**7/735 - t**6/210 + 16*t**2. Factor m(s).
2*s**3*(s - 2)*(s + 1)/7
Suppose 5*k = 5*l - 35, k - 4*k - 6 = 0. Let u(a) be the first derivative of 0*a + a**l - 1/2*a**6 - 1/4*a**4 + 0*a**2 - 1/3*a**3 + 2. Factor u(c).
-c**2*(c - 1)**2*(3*c + 1)
Let p(r) = -17*r**3 - 48*r**2 - 96*r - 64. Let z(x) = 8*x**3 + 24*x**2 + 48*x + 32. Let j(n) = -4*p(n) - 9*z(n). Factor j(t).
-4*(t + 2)**3
Let h be (-2)/(-2) - (-38 + 1). Suppose h = 3*p - p. Solve -z + z**2 - 19 + p = 0.
0, 1
Let o = 91 - 87. Let g(c) be the first derivative of -2/9*c + 2/9*c**2 + 0*c**3 - 1/9*c**4 - o + 2/45*c**5. Factor g(i).
2*(i - 1)**3*(i + 1)/9
Let f(l) be the first derivative of -l**8/560 + l**7/175 - l**6/200 + l**2/2 + 4. Let b(d) be the second derivative of f(d). Solve b(m) = 0.
0, 1
Let k(i) = -i**2 - 6*i + 2. Let g be k(-6). Factor -3*j**4 + 4*j + g*j + 0*j - 6*j**3 + 3*j**2.
-3*j*(j - 1)*(j + 1)*(j + 2)
Let m = 12 - 15. Let o be (m - -3) + 6 + -4. Factor 2/5*h**o - 12/5*h + 18/5.
2*(h - 3)**2/5
Suppose -5*z = -3*x - 35, 2*z + 0*x = -2*x - 2. Let j = z + 1. Let 6*t**2 + 2 + 6*t + 2*t**3 + j*t**2 - 5*t**2 = 0. Calculate t.
-1
Let g be 6*(4*-1 - -3). Let x be (-9)/g*12/27. Determine r so that -1/3*r + 0*r**3 + 2/3*r**2 + 1/3*r**5 - x*r**4 + 0 = 0.
-1, 0, 1
Let n(k) = 17*k**2 + 12*k - 29. Let l(m) = -4*m**2 - 3*m + 7. Let h(p) = 26*l(p) + 6*n(p). Factor h(v).
-2*(v - 1)*(v + 4)
Let y(g) = -2*g**5 - 3*g**4 + 8*g**3 + 7*g**2 - 6*g - 1. Let v(q) = -4*q**5 - 7*q**4 + 16*q**3 + 15*q**2 - 12*q - 1. Let j(x) = -6*v(x) + 14*y(x). Factor j(c).
-4*(c - 2)*(c - 1)*(c + 1)**3
Let z(g) be the second derivative of -g**5/80 + g**4/24 - g**3/24 - 12*g. Determine h so that z(h) = 0.
0, 1
Let p(w) = -3*w**2 + 31*w - 11. Let z(h) = -2*h**2 + 15*h - 5. Let o(v) = -6*p(v) + 15*z(v). Factor o(s).
-3*(s - 3)*(4*s - 1)
Let k be 2*-1 - (640/(-48) - -9). Determine p so that -5/3*p**4 + k*p + 2/3*p**2 + 1 - 1/3*p**5 - 2*p**3 = 0.
-3, -1, 1
Let q be (-56)/(-36)*3 - (-52)/(-78). What is a in 0*a - 6/5*a**2 + 0 - 9/5*a**q - 3*a**3 = 0?
-1, -2/3, 0
Let q be 1/(-3)*204/833. Let r = 449/98 + q. Factor 1/2*o**5 + 3*o**4 + 8*o**2 + 7*o**3 + r*o + 1.
(o + 1)**4*(o + 2)/2
Let s(x) = -7*x**2 - 2*x - 7. Let d(t) = 20*t**2 + 7*t + 20. Let f(c) = 4*d(c) + 11*s(c). Factor f(m).
3*(m + 1)**2
Determine d, given that -5/2*d**3 + 15/2*d**2 - 5*d + 0 = 0.
0, 1, 2
Let m(v) = v - 8. Let a be m(11). Factor -4*k**2 + 0*k**3 + k**3 + 2*k**2 - 3*k**a.
-2*k**2*(k + 1)
Let s = -30 - -34. Let o be (20/(-12))/((-10)/s). Factor -o*n**3 - 2/3 + 2/3*n + 2/3*n**2.
-2*(n - 1)**2*(n + 1)/3
Suppose 0 = -4*c + c. Factor 0*i**2 + c*i**2 - 1 + i**2.
(i - 1)*(i + 1)
Let k(m) = -3*m**2 + 5*m - 1. Let o(i) = 6*i**2 - 11*i + 3. Let s(d) = -5*k(d) - 3*o(d). Find c such that s(c) = 0.
2/3, 2
Let z(y) be the second derivative of -5*y + 0 + 0*y**6 + 1/55*y**5 - 1/231*y**7 + 0*y**4 - 1/33*y**3 + 0*y**2. Let z(g) = 0. What is g?
-1, 0, 1
Let d be -10 - 1/5*0. Let k be (-57)/(-18) + 5/d. Factor -k*i + 5/3*i**2 - 1/3*i**3 + 4/3.
-(i - 2)**2*(i - 1)/3
Let k(j) be the second derivative of -2/15*j**4 + 0 - j + 1/5*j**2 + 1/5*j**3. Factor k(d).
-2*(d - 1)*(4*d + 1)/5
Let a(d) be the second derivative of 2*d**6/3 + 3*d**5/5 - 2*d**4/3 + 5*d. What is w in a(w) = 0?
-1, 0, 2/5
Let g(u) = -41*u**5 + 83*u**4 - 54*u**3 + 12*u**2 + 11. Let s(r) = 14*r**5 - 28*r**4 + 18*r**3 - 4*r**2 - 4. Let d(h) = -4*g(h) - 11*s(h). Factor d(b).
2*b**2*(b - 1)**2*(5*b - 2)
Let k(h) = h**3 - 2*h**2 + h + 2. Let d be k(0). Solve 0 - 1/2*c**d - c = 0.
-2, 0
Let q(p) be the third derivative of 0 + 2*p**2 + 1/3*p**4 - 4/3*p**3 + 0*p - 1/30*p**5. Solve q(y) = 0 for y.
2
Suppose 2*m - 8 = i, 2*m - 5*i - 11 = -3. Suppose -8*h + 0 + 2 - m*h**2 - 5 - 1 = 0. What is h?
-1
Let k be 4/(24/(-2))*0. Let i(l) be the second derivative of k*l**4 + 0 - 1/40*l**5 + l + 0*l**2 + 0*l**3. Factor i(y).
-y**3/2
Let a be 1 - 21/(-3) - (-4)/(-1). Suppose 0 + 15/4*k**a + 3/2*k - 3/2*k**3 - 15/4*k**2 = 0. Calculate k.
-1, 0, 2/5, 1
Let v(m) be the second derivative of -m**5/80 - m**4/16 - m**3/12 - m. Suppose v(p) = 0. Calculate p.
-2, -1, 0
Let q be (-48)/40*(-10)/4. Find m such that m**3 - 3*m**2 - 3*m**2 - 4*m**q = 0.
-2, 0
Let c = -3 + 5. Let s(q) = -10 - 10*q**c - 8*q + q - 6*q. Let d(j) = -3*j**2 - 4*j - 3. Let n(u) = -14*d(u) + 4*s(u). Factor n(f).
2*(f + 1)**2
Suppose 0 = 2*a + a + 312. Let i be a/(-18) - 6/(-27). Solve -7*q**3 + 2*q + i*q**4 + 2*q + 3*q**3 - 6*q**2 = 0 for q.
-1, 0, 2/3, 1
Let n(k) be the second derivative of 0*k**2 + 0 + 1/24*k**3 + 5*k + 1/48*k**4. Factor n(q).
q*(q + 1)/4
Solve -5/6 + 5/3*p**4 + 5/2*p - 5/2*p**3 - 5/6*p**2 = 0.
-1, 1/2, 1
Suppose -f + 25 = 4*f. Factor -5*a**3 + 5*a**4 - a**4 + a**2 - 2*a**5 + a**2 + a**f.
-a**2*(a - 2)*(a - 1)**2
Suppose 2*b + 1 = -3*j + 2, 0 = 4*b - 3*j - 11. Let y(r) be the second derivative of 3*r + 0 + 4/7*r