(f + 1)**2/2
Let t = 3114/77 + -278/7. Suppose 2/11*i**2 + 8/11 + t*i = 0. Calculate i.
-2
Let g be -2 + 2 + 2 + 4. Let f(l) = 9*l**2 - 5*l - 6. Let v(x) = -26*x**2 + 14*x + 17. Let s(b) = g*v(b) + 17*f(b). Factor s(p).
-p*(3*p + 1)
Let w be ((-8)/(-3) - 2)*3. Factor 6 - 3 - w*h**2 - 1 + h**4 - 1.
(h - 1)**2*(h + 1)**2
Let p(g) be the third derivative of 2/9*g**3 + 1/90*g**5 + 0 + g**2 + 0*g - 1/12*g**4. Let p(x) = 0. What is x?
1, 2
Let j(p) = -3*p - 3. Let s be j(-2). Suppose 5*g - 4 - 6 = 0. Solve q**4 + q**s - q**2 + 0*q**5 + g*q**5 - 3*q**5 = 0 for q.
-1, 0, 1
Let t(k) be the third derivative of -k**6/240 - k**5/60 - k**4/48 + 3*k**2. Factor t(i).
-i*(i + 1)**2/2
Let s(m) be the third derivative of -m**6/60 + 2*m**5/15 - 5*m**4/12 + 2*m**3/3 - 6*m**2. Determine p so that s(p) = 0.
1, 2
Let m = -95 - -98. Factor -15/2*v**3 + 0*v + 21/2*v**4 + 0 - m*v**2.
3*v**2*(v - 1)*(7*v + 2)/2
Let q(r) be the second derivative of -r**7/126 - r**6/45 + r**4/18 + r**3/18 - 9*r. Factor q(t).
-t*(t - 1)*(t + 1)**3/3
Let c(w) be the third derivative of -w**8/3024 + w**7/945 - w**5/270 + w**4/216 - 31*w**2. Factor c(t).
-t*(t - 1)**3*(t + 1)/9
Let j be (-1)/(-1*2/4). Let k be (-52)/(-72) + (-4)/18. Factor 0 + 1/2*d**3 + d**j + k*d.
d*(d + 1)**2/2
Let g(n) be the first derivative of n**7/84 - n**6/15 + 3*n**5/20 - n**4/6 + n**3/12 - 2*n - 3. Let d(m) be the first derivative of g(m). Factor d(b).
b*(b - 1)**4/2
Let u = 510 + -2522/5. Determine r, given that u*r**2 - 126/5*r**4 + 0 - 4/5*r - 13/5*r**3 - 81/5*r**5 = 0.
-1, 0, 2/9
Let u(l) be the second derivative of -l**8/840 + l**7/210 - l**6/180 - 2*l**3/3 + 2*l. Let b(f) be the second derivative of u(f). What is o in b(o) = 0?
0, 1
Let o = 1/91 - -51/91. Factor o + 6/7*m + 2*m**3 - 24/7*m**2.
2*(m - 1)**2*(7*m + 2)/7
Factor 8 + 6 + x**4 - 14 - x**2.
x**2*(x - 1)*(x + 1)
Let w(a) be the third derivative of -a**6/960 + a**5/240 - a**4/192 + 5*a**2. Let w(v) = 0. Calculate v.
0, 1
Let k(z) be the third derivative of -z**10/252000 - z**9/33600 - z**8/16800 - z**5/30 + 6*z**2. Let q(m) be the third derivative of k(m). Factor q(s).
-3*s**2*(s + 1)*(s + 2)/5
Factor 54 - 3*z**2 - 9*z - 54.
-3*z*(z + 3)
Let s(o) = -33*o**3 - 51*o**2 - 144*o - 96. Let h(t) = -8*t**3 - 13*t**2 - 36*t - 24. Let b be -6*(-7)/4*2. Let u(m) = b*h(m) - 5*s(m). Factor u(v).
-3*(v + 2)**3
Let m(y) be the second derivative of 5*y**7/126 + 2*y**6/9 + y**5/3 - 5*y**4/18 - 25*y**3/18 - 5*y**2/3 - 9*y. Factor m(u).
5*(u - 1)*(u + 1)**3*(u + 2)/3
Let s(q) = q**2 + 8*q - 13. Let j be s(-10). Suppose -2*t + j*t = 0. What is a in -16 - 12*a**2 + a**3 + 24*a + a**3 + t*a = 0?
2
Let n(b) = -b**3 + 6*b**2 + 7*b. Let q be n(7). Let x(f) be the third derivative of -1/15*f**5 + 0*f**3 + 2*f**2 + q*f**4 + 0*f + 1/20*f**6 + 0. Factor x(g).
2*g**2*(3*g - 2)
Determine g, given that -6*g**2 - 21*g**3 - 2*g - 1 - g**4 + 6*g + 25*g**3 = 0.
1
Factor 27*t**3 + 87*t**2 + 13*t + 54 + t**4 + 104*t + t**4 + t**4.
3*(t + 1)*(t + 2)*(t + 3)**2
Let c(f) be the third derivative of f**5/10 + 7*f**4/36 - 2*f**3/9 - 11*f**2. Determine l so that c(l) = 0.
-1, 2/9
Let i = -622/7 + 89. Let n(y) be the second derivative of i*y**2 - 1/70*y**5 + 0 - 1/42*y**4 + 2*y + 1/21*y**3. What is k in n(k) = 0?
-1, 1
Let f(s) = -3*s**2 + 3. Let b(r) = -2*r**2 + 2. Suppose -5*z + 4*w = 9*w + 15, -4*z - 30 = -5*w. Let g(p) = z*b(p) + 4*f(p). Factor g(v).
-2*(v - 1)*(v + 1)
Suppose c = -4*c - 4*m + 23, -m = -5*c + 13. Let x(d) = -2*d**2 + 4*d + 5. Let u(a) = a**2 - 2*a - 2. Let t(p) = c*x(p) + 7*u(p). Factor t(n).
(n - 1)**2
Factor 2*b**2 - 1 + 7 - 2 + 6*b.
2*(b + 1)*(b + 2)
Let j(p) = 2*p**3 - 15*p**2 + 13*p - 4. Let m(r) = -3*r**3 + 31*r**2 - 27*r + 9. Let i(w) = 5*j(w) + 2*m(w). Factor i(c).
(c - 2)*(c - 1)*(4*c - 1)
Let g(j) be the second derivative of -6*j**7/7 + 22*j**6/5 + 29*j**5/5 - 97*j**4/3 - 80*j**3 - 72*j**2 - 3*j. Let g(v) = 0. What is v?
-1, -2/3, 3
Let p = -10 + 3. Let f(q) = 4*q**4 - 3*q**3 + 2*q**2 + 3*q - 6. Let b(w) = -w**4 + w**3 - w**2 - w + 2. Let v(j) = p*b(j) - 2*f(j). Solve v(g) = 0.
-2, -1, 1
Let -4*l**2 + 2*l**2 - 50 - 2*l + 22*l = 0. Calculate l.
5
Solve -2/11*a - 2/11*a**2 + 4/11 = 0 for a.
-2, 1
Factor 9*i**4 + 5*i**3 - 5*i - i**4 - 15*i**2 - 3*i**4 + 10.
5*(i - 1)**2*(i + 1)*(i + 2)
Let m = -112 - -117. Let l(n) be the third derivative of n**2 + 1/1512*n**8 + 0*n**3 + 0*n**4 + 0 + 0*n - 1/540*n**6 + 1/945*n**7 - 1/270*n**m. Factor l(h).
2*h**2*(h - 1)*(h + 1)**2/9
Let a(u) be the third derivative of -u**8/336 - u**7/210 + u**6/60 - 23*u**2. Factor a(t).
-t**3*(t - 1)*(t + 2)
Determine f so that 4/7*f**4 + 96/7*f**2 - 40/7*f + 40/7*f**3 - 100/7 = 0.
-5, -1, 1
Let r be 418/110 - (-2)/10. Let v(s) be the first derivative of -s**2 - 2 + 0*s - 1/4*s**r - s**3. Let v(m) = 0. What is m?
-2, -1, 0
Let u be 0 - (12/(-3) + 3). Suppose u + 1/2*i - 1/2*i**2 = 0. What is i?
-1, 2
Let i(q) = -4*q**5 + 5*q**4 + 3*q**3 - 3*q**2 + 3*q. Let b(a) = -3*a**5 + 4*a**4 + 2*a**3 - 2*a**2 + 2*a. Let n(g) = 3*b(g) - 2*i(g). Find v such that n(v) = 0.
0, 2
Let n(x) be the first derivative of -7*x**2/2 - 4*x + 2. Let q be n(-9). Factor -q*h**2 + 51*h**3 - 4*h**2 - 8*h**4 - 6 - 7*h**4 + 33*h.
-3*(h - 1)**3*(5*h - 2)
Let o be 4/14 - (-329)/49. Let k(u) = 2*u**2 + 3*u + 9. Let i(b) = b**2 + b + 4. Let p(h) = o*i(h) - 3*k(h). Suppose p(d) = 0. What is d?
1
Suppose 8*j - 12 = 4*j. Factor 5*a**3 + 24*a + 8 + 26*a**2 - 3*a**j + 5*a**3 + 5*a**3 + 2*a**4.
2*(a + 1)**2*(a + 2)**2
Let c be 1*-6*(-3)/6. Suppose 0 - 6 = -c*y. Factor 0 + 0*s - y*s**4 + s**2 + 1/2*s**3 - 3/2*s**5.
-s**2*(s + 1)**2*(3*s - 2)/2
Solve -3*v - 8*v**2 + 15*v + 8 - 4*v**5 + 0*v**4 - 12 - 8*v**3 + 12*v**4 = 0.
-1, 1
Find l, given that -11*l**3 - 8*l**3 - 5*l + 35 - 8*l**3 + 32*l**3 - 35*l**2 = 0.
-1, 1, 7
Factor -3/4*j - 3*j**2 - 9/2*j**3 + 0 - 3*j**4 - 3/4*j**5.
-3*j*(j + 1)**4/4
Suppose -8 = -4*h, -1 = -4*s - 2*h + 15. Let z(q) = q - 1. Let j be z(s). Factor -2/5*u**j + 2/5 + 0*u.
-2*(u - 1)*(u + 1)/5
Let b(g) be the second derivative of -g**6/420 + g**5/210 + g**4/42 + g**2 - 4*g. Let w(i) be the first derivative of b(i). Solve w(r) = 0.
-1, 0, 2
Suppose -2*q + 2 + 2 = 0. Determine v, given that 2/3*v + 4/9 + 2/9*v**q = 0.
-2, -1
Let j(k) be the third derivative of k**8/8960 - k**6/2880 - k**5/12 - 2*k**2. Let x(m) be the third derivative of j(m). Solve x(g) = 0.
-1/3, 1/3
Suppose -4*i + 8 = -l, -i + 2*i - l = -1. Factor 3 + 6*d + 6*d**3 - 12*d**3 - i*d**4 - 3*d**2 + 3*d**2.
-3*(d - 1)*(d + 1)**3
Let n = 137/366 - 5/122. Determine v, given that -2/3*v**2 + 0*v + n*v**3 + 0 = 0.
0, 2
Factor -175*o**2 + 13*o - o + 178*o**2 + 12*o + 48.
3*(o + 4)**2
Let v(m) = -m**2. Let l(z) = 4*z**2 - 4*z. Let b(x) = l(x) + 6*v(x). Factor b(u).
-2*u*(u + 2)
Let n(p) be the second derivative of -p**8/13440 + p**7/5040 + p**4/2 + 5*p. Let w(c) be the third derivative of n(c). Factor w(v).
-v**2*(v - 1)/2
Let q(h) = -7*h**4 + 7*h**3 - 2*h**2 + 2*h + 2. Let w(i) = -15*i**4 + 15*i**3 - 5*i**2 + 5*i + 5. Let k(x) = 5*q(x) - 2*w(x). Determine g, given that k(g) = 0.
0, 1
Let r be (-36)/(-12)*(2 - 1). Determine j so that 5*j**r + 23*j + 18*j**2 + 9*j + 58*j**2 - 16 + 23*j**3 = 0.
-2, -1, 2/7
Solve 1108 - 1066 - 39*c + 0*c**2 - 3*c**2 = 0.
-14, 1
Let o = 1 - -1. Let q(s) be the first derivative of 0*s - 4/35*s**5 - 1/21*s**6 + 0*s**4 + 1 + 1/7*s**o + 4/21*s**3. Factor q(g).
-2*g*(g - 1)*(g + 1)**3/7
Let i be 3/6*2 - -2. Let y(x) be the first derivative of 1/3*x**2 + 0*x + 2/9*x**i + 2. Factor y(g).
2*g*(g + 1)/3
Let m = -193/2 + 97. Suppose m*o**3 + 3/2*o + 1/2 + 3/2*o**2 = 0. Calculate o.
-1
Factor -1/5*i**2 - 4/5*i - 3/5.
-(i + 1)*(i + 3)/5
Let o = 41 + -39. Suppose -o*b - 1 = -5. Find d, given that -2/7*d + 0 + 2/7*d**b = 0.
0, 1
Let v = 4553/4980 - -1/415. Let u(g) be the first derivative of -3 - v*g**3 + 1/2*g + 21/20*g**5 - 5/16*g**4 - 5/12*g**6 + 3/8*g**2. What is k in u(k) = 0?
-1/2, -2/5, 1
Determine m, given that m**2 + 8*m**5 - 35*m**4 + 4*m**2 + 12*m**5 + 10*m**3 = 0.
-1/4, 0, 1
Let p be 1/(-2)*(-2)/20*0. Determine x so that 2/3*x + 0 + p*x**3 + x**2 - 1/3*x**4 = 0.
-1, 0, 2
Let d(h) be the third derivative of h**8/224 - h**7/140 - h**6/16 - 3*h**5/40 + 32*h**2. Factor d(y).
3*y**2*(y - 3)*(y + 1)**2/2
Suppose -2*o + 2 = -3*o + i, -3*o = 4