s + 2. Let w(h) be the first derivative of a(h). Factor w(q).
2*q*(q + 1)
Let f be (-5)/2*(-3)/10. Let h(o) be the first derivative of -11/3*o**3 + f*o**2 - 3*o**4 + 2*o**5 + 7/4*o**6 + 2 + o. Let h(l) = 0. Calculate l.
-1, -2/7, 1/3, 1
Factor -h**3 + 4*h**3 - 10*h**2 + h**3 - 9*h**3.
-5*h**2*(h + 2)
Factor -2*y**3 - 2/3*y**2 + 0 + 4/3*y.
-2*y*(y + 1)*(3*y - 2)/3
Let o(m) be the second derivative of m**8/1280 - m**7/1680 - m**4/4 + m. Let b(q) be the third derivative of o(q). Factor b(i).
3*i**2*(7*i - 2)/4
Let p(k) be the first derivative of k**4/4 - 4*k**3/3 + 2*k + 2. Let r be p(4). Factor 2*i**r - 7*i**2 + 4 - 5*i**2 - 6*i.
-2*(i + 1)*(5*i - 2)
Let k be 1/(-2*(-1)/(-4)). Let y = 0 - k. Suppose -i**2 + 0*i**2 + 5*i**2 + i + 0*i**y = 0. Calculate i.
-1/4, 0
Let q = -36816 + 256692/7. Let p = q - -146. Factor -2/7*m**3 + 0*m**2 + p*m + 0.
-2*m*(m - 1)*(m + 1)/7
Let x(p) be the second derivative of -p**6/105 + p**5/35 - p**4/42 + 4*p. Solve x(z) = 0.
0, 1
Let z(l) be the second derivative of 0*l**3 - 1/165*l**6 - l + 0*l**5 + 0*l**2 + 0 + 1/66*l**4. Factor z(d).
-2*d**2*(d - 1)*(d + 1)/11
Factor 21/5 + 18/5*w - 3/5*w**2.
-3*(w - 7)*(w + 1)/5
Suppose c = c + 5*c. Let y(s) be the third derivative of -1/630*s**7 + c + 0*s + 0*s**3 - 1/180*s**5 + s**2 - 1/180*s**6 + 0*s**4. Factor y(a).
-a**2*(a + 1)**2/3
Let c(s) be the third derivative of -5*s**8/336 - 3*s**7/14 - 9*s**6/8 - 9*s**5/4 - 9*s**2. Let c(v) = 0. Calculate v.
-3, 0
Let o(t) be the first derivative of t**6/18 - 2*t**5/15 + t**4/12 + 4. Factor o(x).
x**3*(x - 1)**2/3
Suppose -4*b = 4*z - 2*b + 386, 92 = -z - 2*b. Let p be (-182)/z + (0 - 1). What is y in -2/7*y - 8/7*y**2 + p*y**3 + 4/7 = 0?
-2/3, 1
Let v = -10 + 13. Factor -12*y - 26 + 34 - v*y**2 - 20.
-3*(y + 2)**2
Let r(h) be the second derivative of -h**7/63 - h**6/15 - h**5/15 + h**4/9 + h**3/3 + h**2/3 - 6*h. Find d such that r(d) = 0.
-1, 1
Let k(o) = o**2 - 9*o - 7. Let d be k(9). Let r be (-1 + 0)*(4 + d). Let p**r + 1 + 4*p**2 + 1 + 6*p - p = 0. Calculate p.
-2, -1
Let v = -141 + 147. Let c(q) be the third derivative of 0 + 1/120*q**v + 0*q + 0*q**4 + 1/9*q**3 + q**2 - 13/360*q**5. What is d in c(d) = 0?
-1/2, 2/3, 2
Let k = -116 - -120. Find c such that 2/5*c + 2/5*c**k + 0 - 2/5*c**3 - 2/5*c**2 = 0.
-1, 0, 1
Let g(i) be the second derivative of -5*i**4/12 + 5*i**3/6 - i. Factor g(c).
-5*c*(c - 1)
Suppose r = a + 5, 2*r + 4*a + 20 = -3*r. Let i = 1/18 - -13/9. Find m, given that -i*m**4 - 1/2*m**5 + 0*m - 3/2*m**3 + r - 1/2*m**2 = 0.
-1, 0
Suppose -4*g = w + 5, 6*g - g - 5 = -5*w. Factor 6*q**3 - 4*q**w + 2*q**4 + 0 + 0.
2*q**3*(q + 1)
Let j = 16 + -16. Let n(h) be the second derivative of 1/48*h**4 + 0*h**2 + j + 3*h + 1/24*h**3. Factor n(x).
x*(x + 1)/4
Let j(d) be the second derivative of -7*d**5/90 + d**4/27 + 8*d. Determine r so that j(r) = 0.
0, 2/7
Let n be ((-8)/3)/(30/(-18)). Factor 8/5*s**2 - n*s - 2/5*s**3 + 0.
-2*s*(s - 2)**2/5
Let k(n) be the second derivative of n**6/90 - n**4/36 + 4*n. Factor k(o).
o**2*(o - 1)*(o + 1)/3
Let f(o) = -4*o**2 + 2*o + 6. Let c(q) = 4*q**2 - 3*q - 7. Let g(m) = -2*c(m) - 3*f(m). Find i such that g(i) = 0.
-1, 1
Suppose -3*x = 5*b - 4*x - 195, 2*x = -2*b + 90. Let n be (-14)/b - 12/(-16). Factor -n*l**2 + 0 + 2/5*l + 2/5*l**4 - 2/5*l**3.
2*l*(l - 1)**2*(l + 1)/5
Let s(z) be the first derivative of -z**8/4200 + z**7/700 - z**6/300 + z**5/300 - z**3/3 + 2. Let c(k) be the third derivative of s(k). Factor c(d).
-2*d*(d - 1)**3/5
Let a(o) = 2*o + 4. Let g be a(-8). Let r = -10 - g. What is q in 1/2*q**r + 1/2*q + 0 = 0?
-1, 0
Let z = 3 + -1. Let g(p) be the second derivative of 3/2*p**5 + 1/7*p**7 - z*p - 11/15*p**6 + 0 + 2/3*p**3 - 3/2*p**4 + 0*p**2. Factor g(i).
2*i*(i - 1)**3*(3*i - 2)
Let a be (-44)/(-12) + (-2)/(-6). Suppose 6*b = b + 4*r + a, -4*b - r = 1. Let 1/4*d**2 + 1/4*d**5 - 1/4*d**4 + b + 0*d - 1/4*d**3 = 0. Calculate d.
-1, 0, 1
Let n(g) be the second derivative of 0*g**2 + 1/60*g**6 + 0 + 1/12*g**4 - 1/24*g**3 - 1/16*g**5 - 2*g. Determine z, given that n(z) = 0.
0, 1/2, 1
Solve 0 - 8/11*r**5 + 2*r**4 - 32/11*r**2 - 8/11*r + 6/11*r**3 = 0.
-1, -1/4, 0, 2
Let g(u) be the first derivative of -u**8/7560 - u**7/3780 + u**6/810 - 2*u**3 - 6. Let y(m) be the third derivative of g(m). Find q such that y(q) = 0.
-2, 0, 1
Let o(l) be the second derivative of -2*l**4/15 + l**3/5 + l**2/5 - 13*l. Factor o(g).
-2*(g - 1)*(4*g + 1)/5
Let v(n) be the first derivative of -n**3/3 + 3*n**2 - 3*n - 2. Let m be v(5). Factor -r**4 - 9*r**3 - 4*r**m + 2*r**2 - 6*r**4.
-r**2*(r + 1)*(7*r + 2)
Let p(o) = -o**2 + 5*o + 9. Let z be p(7). Let i = 7 + z. Solve l**4 - 4*l**2 + i + 0*l**4 - 2*l**4 + 3*l**4 = 0 for l.
-1, 1
Let m = -112 - -562/5. Suppose 2/5*c**2 + 0 + m*c = 0. What is c?
-1, 0
Let x(t) = -9*t**4 - 3*t**3 + 5*t**2 - 7*t. Let h(c) = -4*c**4 - c**3 + 2*c**2 - 3*c. Let i(p) = 14*h(p) - 6*x(p). Factor i(s).
-2*s**2*(s - 1)**2
Let g = -4 + 6. Suppose -7*m = -g*m. Solve 0*b + 4/7*b**4 + 0 + 2/7*b**3 + m*b**2 + 2/7*b**5 = 0.
-1, 0
Let t(o) be the first derivative of -o**4/16 - o**3/12 + o**2/4 - 5. Find k, given that t(k) = 0.
-2, 0, 1
Let i(t) be the second derivative of 3*t + 0*t**4 + 0 - 1/100*t**5 + 0*t**2 + 0*t**3 - 1/210*t**7 + 1/75*t**6. Factor i(b).
-b**3*(b - 1)**2/5
Let h = 49/13 - 45/13. Find s, given that 2/13*s**2 + 2/13 + h*s = 0.
-1
Let i(j) be the first derivative of j**6/12 + j**5/10 - 5*j**4/8 - 5*j**3/6 + j**2 + 2*j - 2. Let i(g) = 0. What is g?
-2, -1, 1, 2
Let c(b) = b**2 - 3*b - 7. Let d be c(5). Suppose -3*p**3 - 4*p + 6*p**3 - 2*p**2 - p**d = 0. What is p?
-1, 0, 2
Let j(q) be the first derivative of 5*q**4 - 8*q**3/3 + 8. Let j(m) = 0. What is m?
0, 2/5
Suppose -x - x + 24 = 4*m, 5*m - 3*x = 8. Factor -6*p**2 + 4*p**2 + 2*p - m + 8.
-2*(p - 2)*(p + 1)
Let s(r) = -56*r**2 + 35*r + 3. Let o(a) = -55*a**2 + 34*a + 2. Let j(c) = -7*o(c) + 6*s(c). Factor j(n).
(7*n - 2)**2
Let n = 97/3 - 29. Factor 4/3 + 10/3*t**3 - 4/3*t**2 - n*t.
2*(t - 1)*(t + 1)*(5*t - 2)/3
Let p(u) = u**3 - 3*u**2 + 2*u + 1. Let q be p(3). Let -9*x - 3*x**3 + 12*x**2 + 7*x**2 - q*x**2 = 0. Calculate x.
0, 1, 3
Factor 15*m - 9*m + 2 + m**2 + 1 - 10*m.
(m - 3)*(m - 1)
Let a be -1 - (355/63 - -1). Let c = 55/7 + a. Factor -c*g**5 + 0*g + 0 + 0*g**4 + 0*g**2 + 2/9*g**3.
-2*g**3*(g - 1)*(g + 1)/9
Suppose 34 = 5*r - 3*r. Suppose -d - 3*k = -r, -d + 4*k - 18 = -0*d. Factor 2 + 0*m**d - 4 - 4*m - 2*m**2.
-2*(m + 1)**2
Let t be (-4)/(96/6)*0. Factor 1/5*i**5 - 1/5*i**3 - 1/5*i**4 + t*i + 1/5*i**2 + 0.
i**2*(i - 1)**2*(i + 1)/5
Let l(q) be the first derivative of 0*q + 3/2*q**4 - 6/5*q**5 + 0*q**2 - 1 - 2/3*q**3 + 1/3*q**6. Factor l(j).
2*j**2*(j - 1)**3
Let a(l) be the first derivative of -9*l**4/4 + 10*l**3 - 14*l**2 + 8*l - 5. Factor a(z).
-(z - 2)*(3*z - 2)**2
Factor 10*n - 2*n**5 - 26*n - 13*n**4 + 5*n**4 + 14*n - 8*n**2 - 12*n**3.
-2*n*(n + 1)**4
Factor -2*r - 4/3*r**2 + 4/3 + 2*r**3.
2*(r - 1)*(r + 1)*(3*r - 2)/3
Let c(q) be the third derivative of q**5/120 + 5*q**4/48 + q**3/3 - 17*q**2. Find h such that c(h) = 0.
-4, -1
Suppose 2*x = -3*x. Suppose -c**2 - 5*c - c**2 + x*c**2 + c = 0. What is c?
-2, 0
Let a be (-36)/(-4)*(-1 - 8/(-6)). Let j(x) be the third derivative of -1/18*x**4 + 0 - 1/90*x**5 + 0*x + 0*x**a + 3*x**2. Find q such that j(q) = 0.
-2, 0
Let s = 0 + 21. Factor -4*n**3 - 20*n**2 + s*n**2 + 3*n**3 + 0*n**3.
-n**2*(n - 1)
Let y be (-4)/126*(-12)/320. Let n(u) be the third derivative of -1/150*u**6 + 0*u**3 + 0 + 0*u**7 + 0*u**5 + 1/60*u**4 - u**2 + 0*u + y*u**8. Factor n(d).
2*d*(d - 1)**2*(d + 1)**2/5
Let x be 3/(39/30 - 1). Determine t so that -8*t**3 - 7*t + x*t**2 - 2*t + 5*t + 2*t**4 = 0.
0, 1, 2
Determine r, given that -r - 4 + 1/2*r**2 = 0.
-2, 4
Factor 0*i**3 - 3*i**3 + 3*i + 6*i**3 + 6*i**2 + 0*i**3.
3*i*(i + 1)**2
Suppose -c + 5 = -5*b, -4*b - b - 5 = -2*c. Let s = 541 + -541. Determine v so that s*v**2 + 0*v + 3/2*v**5 + 3/2*v**4 + 0 + c*v**3 = 0.
-1, 0
Let o = -15 + 15. Let b(f) be the first derivative of 1 - 2/5*f**5 + 1/6*f**6 + 0*f**2 + 0*f + o*f**3 + 1/4*f**4. Suppose b(m) = 0. What is m?
0, 1
Let w = 10 - 7. Let o be (0 - (3 - 2))*-1 + 1. Find y such that 3*y**w + 3*y**4 + y**4 - y**o + y**5 - 7*y**4 = 0.
0, 1
Let i(u) be the third derivative of 4*u**2 + 0*u - 1/80*u