= -c(t) + h(t). Factor j(s).
(3*s - 2)*(3*s + 2)
Suppose -3*t + 0*t + 9 = 0. Factor -t*s**5 - 12*s**2 + s**5 + 5*s**5 + 3*s + 18*s**3 - 12*s**4.
3*s*(s - 1)**4
Factor 15*h**2 - 31 + 5*h - h**3 + 4*h**3 + 4 + 4*h.
3*(h - 1)*(h + 3)**2
Let h(r) be the third derivative of -r**8/168 + 2*r**7/105 + r**6/20 - 2*r**5/15 - r**4/3 + 7*r**2 + 1. Solve h(n) = 0 for n.
-1, 0, 2
Let -3/5*m**5 + 0 + 0*m - 6/5*m**4 + 3/5*m**3 + 6/5*m**2 = 0. What is m?
-2, -1, 0, 1
Let g(y) be the second derivative of 1/10*y**5 + 2/3*y**4 - 2*y + 5/3*y**3 + 2*y**2 + 0. Determine f so that g(f) = 0.
-2, -1
Let j(l) be the first derivative of l**4/12 + l**3/3 - l**2/6 - l - 5. Factor j(i).
(i - 1)*(i + 1)*(i + 3)/3
Let t be 3/12 + (-57)/(-12). Find o such that o - 6*o**2 + o**2 + 3*o**3 - 4*o**3 + t*o**3 = 0.
0, 1/4, 1
Suppose 0 = 5*x - 24 - 31. Let c = x + -8. Factor -2/5*v**c + 2/5*v + 2/5*v**2 - 2/5.
-2*(v - 1)**2*(v + 1)/5
Let h(r) = r + 1. Let s be h(-6). Let b = 7 + s. Factor k**b - 1 - k**2 - k**2 - k**2 + 3*k.
-(k - 1)*(2*k - 1)
Suppose -m - 5*t - 18 = 0, 5*m - 30*t + 26*t = 26. Factor 2/13*n**m - 2/13*n**3 + 2/13*n - 2/13*n**4 + 0.
-2*n*(n - 1)*(n + 1)**2/13
Suppose -66 = 5*x + 3*q - 2*q, -4*x - 60 = -q. Let o be (-7)/x + 2/(-4). Solve 0*d + 2/11*d**3 + o + 2/11*d**2 = 0 for d.
-1, 0
Let y(g) be the first derivative of -3*g**5/20 - 45*g**4/16 - 21*g**3 - 78*g**2 - 144*g - 30. Suppose y(t) = 0. What is t?
-4, -3
Factor -6/5*i**2 - 2*i - 4/5.
-2*(i + 1)*(3*i + 2)/5
Let a(b) be the second derivative of -b**7/42 - b**6/15 - 8*b. Let a(g) = 0. Calculate g.
-2, 0
Let u = 3 - -2. Suppose -2*r = -u*q, -2*q + 5*r - 22 + 1 = 0. Factor -11*w - 5*w - 21*w**q + 8 + 11*w**2.
-2*(w + 2)*(5*w - 2)
Let o(w) be the third derivative of 0*w - 3*w**2 + 0*w**3 + 1/1470*w**7 - 1/420*w**5 + 1/840*w**6 + 0 - 1/168*w**4. Solve o(t) = 0 for t.
-1, 0, 1
Let p(g) = 15*g + 272. Let s be p(-18). Factor 1/3*n**s - 2/3*n + 1/3.
(n - 1)**2/3
Determine v so that 18*v**2 + 8*v - 27*v**2 + 17*v**2 + 2*v**3 = 0.
-2, 0
Let z(a) be the second derivative of -a**5/10 + 2*a**4/9 + 4*a**3/9 + 68*a. Suppose z(s) = 0. What is s?
-2/3, 0, 2
Let l(p) be the third derivative of -p**9/30240 - p**8/6720 + p**6/720 + p**5/240 + p**4/24 - 2*p**2. Let w(r) be the second derivative of l(r). Factor w(z).
-(z - 1)*(z + 1)**3/2
Suppose 4 - 22 = -3*l. Let n(o) = l*o + 2*o + o**2 + o**2 - 4*o - 3*o**3. Let d(i) = -i**3 + i**2 + i. Let p(s) = -4*d(s) + n(s). Suppose p(t) = 0. What is t?
0, 2
Let k(v) = v**2 + 6*v + 2. Let q be k(-6). Solve -2*f**2 - 2*f + 2 - 2 + f**q = 0 for f.
-2, 0
Let n(o) be the first derivative of -2*o**3/15 - o**2/5 + 4*o/5 - 16. Factor n(i).
-2*(i - 1)*(i + 2)/5
Suppose 5*q - 88 = -17*q. Factor 0*a + 0*a**3 + 3/2*a**q - 3*a**2 + 3/2.
3*(a - 1)**2*(a + 1)**2/2
Let z = -30 + 30. Solve -1/2*k**2 - 11/4*k**3 + 0*k - 9/4*k**4 + z = 0.
-1, -2/9, 0
Suppose 4*x + x - 10 = 0. Let -13*n**3 - 23*n**3 + 21*n**4 + n**2 + 8*n**x + 6*n = 0. Calculate n.
-2/7, 0, 1
Let m(c) be the first derivative of 4/5*c**5 + 0*c**4 - 4/3*c**3 + 0*c + 1/3*c**6 - c**2 - 3. Solve m(k) = 0.
-1, 0, 1
Let k(x) be the second derivative of -3*x**5/40 - 25*x. Factor k(p).
-3*p**3/2
Let d = 1/9784 + -12523527/68488. Let l = -182 - d. Find i, given that 2/7*i**4 + l*i**2 - 8/7*i - 8/7 + 8/7*i**3 = 0.
-2, -1, 1
Let h be 1/((-2)/(-4)) + 2. Suppose 3 - 2 + 2*p**2 + 5 - h*p - 4 = 0. Calculate p.
1
Let i be -2 + 3 + 2 + -1. Let c be 3*(2/3 - 0). Suppose -m - m**c + m - i*m = 0. Calculate m.
-2, 0
Let r be 9 - -4*(-4)/16*6. Find f, given that -3*f**r + 3*f**4 + 3/2*f**5 + 3/2*f + 3 - 6*f**2 = 0.
-2, -1, 1
Determine n so that 2/3*n**3 + 4/3*n + 2*n**2 + 0 = 0.
-2, -1, 0
Let z = 12/35 + 114/35. Factor 0 - z*v**2 + 4/5*v.
-2*v*(9*v - 2)/5
Factor 0*s - 1/12*s**4 - 1/12*s**2 + 1/6*s**3 + 0.
-s**2*(s - 1)**2/12
Let c = -29 + 29. Let w(t) be the second derivative of c - 1/48*t**4 + t - 1/80*t**5 + 0*t**3 + 0*t**2. Factor w(h).
-h**2*(h + 1)/4
Let i(m) = -5*m**2 + 3*m - 4. Let s be ((-2)/5)/((-1)/5). Let a(c) = -7 - s*c**2 + 4*c - 4*c**2 + 2. Let k(h) = -4*a(h) + 5*i(h). Factor k(w).
-w*(w + 1)
Let c be (64 + -3 + 1)*1. Factor 0*h + c*h**2 - 65*h**2 + 3*h.
-3*h*(h - 1)
Let k(i) be the second derivative of -i**4/42 - 2*i**3/7 - 9*i**2/7 + 4*i. Determine j so that k(j) = 0.
-3
Let u(b) be the first derivative of b**5/60 + b**4/36 - b**3/18 - b**2/6 + 7*b - 2. Let c(w) be the first derivative of u(w). Determine s, given that c(s) = 0.
-1, 1
Solve -1 + 5*x**3 - 1 + 12*x**2 + 0*x**3 + 2*x**3 + 3*x = 0 for x.
-1, 2/7
Let k(t) be the third derivative of -t**8/336 + 3*t**7/140 - 13*t**6/240 + t**5/24 + t**4/16 - t**3/6 - 35*t**2. Determine a, given that k(a) = 0.
-1/2, 1, 2
Let o(j) = -6*j**2 - 3*j + 9. Let p be 8/2*(-1)/2. Let x(n) = 5*n**2 + 3*n - 8. Let i(l) = p*o(l) - 3*x(l). Let i(s) = 0. What is s?
-2, 1
Factor 0 + 3/4*p**3 + 3*p**2 + 9/4*p.
3*p*(p + 1)*(p + 3)/4
Suppose -16 + 1 = -3*g. Let p = g - 3. Factor 2*s**2 + p*s**2 - 2*s - 2*s**2.
2*s*(s - 1)
Let s(o) be the first derivative of -o**4/30 - 2*o**3/15 + 6*o - 1. Let b(f) be the first derivative of s(f). Factor b(p).
-2*p*(p + 2)/5
Let s(b) = b**3 - 8*b**2 - b + 10. Let f be s(8). Factor 0 - 3/2*w - 3/2*w**4 - 9/2*w**f - 9/2*w**3.
-3*w*(w + 1)**3/2
Let v(g) = g**3 - 6*g**2 + 2. Let j be v(6). Suppose 2 = o - j. Suppose -s**2 - s**3 + 4*s**o - s**4 + 3*s**3 = 0. What is s?
-1, 0, 1/3
Let y(h) = h**2 - 4*h + 3. Let f(j) = -2*j**2 + 9*j - 7. Suppose -c - 2 + 4 = 0. Let s = 0 + c. Let i(x) = s*f(x) + 5*y(x). Factor i(p).
(p - 1)**2
Let q(l) = -3*l**3 + 2*l**2 - 11*l - 8. Let y(h) = -h**3 + h**2 - 4*h - 3. Let z(n) = -3*q(n) + 8*y(n). Suppose z(f) = 0. Calculate f.
-1, 0
Factor 0*c + 1/3*c**2 + 0.
c**2/3
Let i(d) be the first derivative of 0*d**2 + 1/2*d**4 + 1/3*d**3 - 1 + 0*d + 1/5*d**5. Determine x so that i(x) = 0.
-1, 0
Let w(n) be the third derivative of -n**8/840 + n**7/175 - n**6/150 + 4*n**2. Let w(o) = 0. What is o?
0, 1, 2
Let f(c) be the third derivative of -c**7/42 + c**6/12 + 2*c**5/3 - 7*c**2 - 2. Determine r so that f(r) = 0.
-2, 0, 4
Let g(f) be the first derivative of 4*f**4 - 20*f**3/3 + 2*f**2 - 5. Let g(u) = 0. Calculate u.
0, 1/4, 1
Let k = 19/21 + -4/7. Let v + 0 + k*v**2 = 0. What is v?
-3, 0
Let y(r) be the third derivative of r**5/5 + r**4/3 - 2*r**3/3 + 3*r**2. Find k such that y(k) = 0.
-1, 1/3
Suppose -6*h + 116 = 23*h. Factor -2/7*u - 6/7*u**3 + 0 - 6/7*u**2 - 2/7*u**h.
-2*u*(u + 1)**3/7
Let q be 1/(2 - (-3)/(-2)). Let a be q*(15/(-18))/(-5). Factor 0*f**2 - 4/3*f**4 + 0 - a*f**3 - f**5 + 0*f.
-f**3*(f + 1)*(3*f + 1)/3
Let m be (-24)/104*(-4)/(-54). Let h = 256/1287 + m. Factor 2/11*d**3 + 0 + h*d**4 + 0*d + 0*d**2.
2*d**3*(d + 1)/11
Suppose 15/7*d**3 - 12/7 - 3/7*d**5 + 3/7*d**4 - 3/7*d**2 - 24/7*d = 0. Calculate d.
-1, 2
Let m(b) be the third derivative of b**8/131040 + b**7/32760 - b**5/10 + 2*b**2. Let q(o) be the third derivative of m(o). Suppose q(y) = 0. Calculate y.
-1, 0
Factor -12*l**2 + 4*l + 2*l**3 + 3*l**4 + 10*l**3 - 7*l**4 + 0*l**3.
-4*l*(l - 1)**3
Let z(c) = 4*c**4 - 16*c**3 + 84*c**2 - 92*c + 20. Let t(o) = o - o**2 - 4*o**3 + 1 + 4*o**3 - o**3. Let u(a) = 12*t(a) + z(a). Factor u(v).
4*(v - 2)**3*(v - 1)
Let x(a) = -30*a**3 - 65*a**2 - 20*a - 5. Let q(z) = -45*z**3 - 97*z**2 - 30*z - 8. Let d(t) = -5*q(t) + 8*x(t). Let d(l) = 0. What is l?
-2, -1/3, 0
Let s(o) = 10*o**2 - 3*o + 5. Let b(x) = 11*x**2 - 3*x + 6. Let t(g) = 6*b(g) - 7*s(g). Factor t(f).
-(f - 1)*(4*f + 1)
Find a, given that 2 - 3 - 14*a**5 - 3 + 22*a + 5*a**3 - 13*a**3 + 32*a**4 - 28*a**2 = 0.
-1, 2/7, 1
Suppose 3*u - u = -12. Let w(f) = f**2 + 7*f + 8. Let g be w(u). Solve 2*o - o**2 + 3*o**2 - g*o = 0 for o.
0
Let r = -2 + 1. Let c be (-3)/(-6)*(-1)/r. Suppose 0 - 3/2*b**3 + c*b**2 + b**4 + 0*b = 0. Calculate b.
0, 1/2, 1
Let c(d) be the second derivative of d**7/6300 + d**6/600 + d**5/150 - d**4/4 - 2*d. Let y(p) be the third derivative of c(p). Factor y(n).
2*(n + 1)*(n + 2)/5
Let d(b) be the second derivative of -b**4/6 + 4*b**3/3 + 5*b**2 - 11*b. Factor d(l).
-2*(l - 5)*(l + 1)
Suppose -3*h + 9 = -t, -4*h + 6*h + 1 = 3*t. Suppose -1/4 - 1/4*v**h - v - 3/2*v**2 - v**3 = 0. Calculate v.
-1
Let u = -5 + 8. Solve -14*m**5 - 21*m**4 - 4*m**2 + 0*m**3 - 22*m**u - 11*m**4 = 0 for m.
-1, -2/7, 0