(q) = r*w(q) - 2*y(q). Factor i(l).
2*(l - 1)*(l + 1)*(4*l - 1)**2
Suppose -n + 3 = -2. Suppose -p = -n*p. Find j, given that -2*j - 3*j - 3 - 3*j**2 + p - j = 0.
-1
Suppose -5*d - j + 16 = 0, -j - 2 = -d - 0. Suppose 2*g = 2*l + 4, 6 = 5*g - 3*g - d*l. Find o such that -2/5*o + g - 1/5*o**2 = 0.
-2, 0
Let t(r) = -r**3 - 5*r**2 - 5*r + 1. Let x be t(-4). Suppose -3*d = -5*l - 10, -2*d = -x*d - l - 2. Factor 2/3*m**2 - m**3 + d + 0*m**4 + 1/3*m**5 + 0*m.
m**2*(m - 1)**2*(m + 2)/3
Let j(g) be the third derivative of 0*g + 1/168*g**8 + 0*g**4 + 2*g**2 + 0*g**5 - 1/60*g**6 + 0*g**3 + 0 + 0*g**7. Determine b, given that j(b) = 0.
-1, 0, 1
Suppose 0 = 4*k - 3*w + w - 8, -5*k - 5*w + 10 = 0. Determine z so that -4*z - 4*z**k - z + 6*z = 0.
0, 1/4
Let c be 16*(52/16 + -3). Let j(q) be the third derivative of -1/5*q**5 - 8/3*q**3 - q**c + 0*q + 2*q**2 - 1/60*q**6 + 0. Suppose j(t) = 0. What is t?
-2
Let r be -6*((-7)/(-8) - 1). Factor 1/4*u**2 + 0 + 1/4*u**5 + 0*u + r*u**3 + 3/4*u**4.
u**2*(u + 1)**3/4
Let g(c) = c**4 + 13*c**3 + 12*c**2. Let u(s) = s**3 + s**2. Let f(t) = 2*g(t) - 22*u(t). Factor f(i).
2*i**2*(i + 1)**2
Let 15/2*r**5 + 0 + 0*r**2 + 3*r**3 + 0*r - 21/2*r**4 = 0. Calculate r.
0, 2/5, 1
Let f(z) = 8*z**5 - 9*z**4 - 5*z**3 + 12*z**2 - 5. Let m(h) = -9*h**5 + 9*h**4 + 6*h**3 - 12*h**2 + 6. Let u(t) = 6*f(t) + 5*m(t). What is c in u(c) = 0?
-1, 0, 2
Let q(i) be the third derivative of i**7/1050 - i**6/600 - i**5/150 + 13*i**2. Let q(m) = 0. Calculate m.
-1, 0, 2
Let o(x) = -5 + 0 - 6*x + 0*x**2 + x**2. Let c be o(7). Determine k, given that -2*k**c + 6*k**2 - k - 2*k**3 - k = 0.
0, 1
Let b = 3/32 + 55/96. Let -1/3*y**4 + b*y**3 + 1/3*y**2 - 2/3*y + 0 = 0. Calculate y.
-1, 0, 1, 2
Factor -7 - 24*z - z**2 + 60*z - 26*z - 18*z.
-(z + 1)*(z + 7)
Let j(y) be the second derivative of -y**4/60 - y**3/5 + 7*y**2/10 + 7*y. Determine k, given that j(k) = 0.
-7, 1
Let o = 2/5 - 8/45. Find n such that -2/9*n - o*n**2 + 2/9*n**3 + 2/9*n**4 + 0 = 0.
-1, 0, 1
Let v(n) = 7*n**2 + 10*n - 30. Let x be v(-3). Factor -1/4*q**x - 12*q - 16 - 3*q**2.
-(q + 4)**3/4
Let m(s) be the second derivative of -s**7/7560 + s**6/2160 + s**5/180 + s**4/6 + 3*s. Let b(t) be the third derivative of m(t). Determine z so that b(z) = 0.
-1, 2
Let b be (-1)/(-2 + 15/9). Factor -12*i**3 - 6*i**3 + 15*i**b.
-3*i**3
Let o be (16/(-6) + 3)*0. Let d(j) = j**3 - j**2 + j + 5. Let i be d(o). Factor -20/11*w**3 + 2/11 + 10/11*w**4 - 2/11*w**i - 10/11*w + 20/11*w**2.
-2*(w - 1)**5/11
Let w(x) = -x**2 + 10*x + 16. Let u be w(12). Let j be 20/(-8)*u/10. Find g, given that -g**j + 0*g + 0 - 3/2*g**3 = 0.
-2/3, 0
Let 24*a**3 - 27*a + 17 - 5 + 6*a**2 - 7*a**4 + 3*a**5 + 0*a**4 - 11*a**4 = 0. What is a?
-1, 1, 4
Let c = 11 + -9. Suppose -c = o - 2*o. Let 2*w**o + 0*w**3 + 2*w**3 - w - w**3 - 2*w**3 = 0. Calculate w.
0, 1
Let i(j) be the first derivative of -j**5/10 - j**4/6 + j**3/3 + j**2 - 2*j + 3. Let x(k) be the first derivative of i(k). Solve x(c) = 0 for c.
-1, 1
Let x = 34 - 31. Let q be (-211)/(-5) - (x + -4). Determine b so that 162/5 + 2/5*b**4 + 108/5*b**2 + 24/5*b**3 + q*b = 0.
-3
Let o(w) be the first derivative of 3*w**4/2 + 68*w**3/9 + 28*w**2/3 - 16*w/3 + 34. Factor o(h).
2*(h + 2)**2*(9*h - 2)/3
Let 2/13*p**5 + 76/13*p**2 + 16/13*p**4 + 16/13 + 50/13*p**3 + 56/13*p = 0. What is p?
-2, -1
Let d(t) be the first derivative of -5*t**4/12 - 20*t**3/9 - 25*t**2/6 - 10*t/3 - 3. Factor d(l).
-5*(l + 1)**2*(l + 2)/3
Suppose 3*b = -3*t + 2*t + 18, 4*t - 6 = -b. Factor 0*m - 8*m**2 - 3*m + b + 5*m**2 + 0.
-3*(m - 1)*(m + 2)
Suppose -4*d + 6 = 5*h, -5 = -2*h - 2*h - 3*d. Factor 45*r**2 - 17*r + 89*r + 69*r**2 + 12 + 75*r**3 + 21*r**h.
3*(r + 1)*(5*r + 2)**2
Suppose -8*w**3 - 6*w**2 - 4/3*w + 0 - 10/3*w**4 = 0. What is w?
-1, -2/5, 0
Let x = -5/49 - -167/196. Let p(n) be the first derivative of -3*n + x*n**4 + n**3 + 5 - 3/2*n**2. Factor p(b).
3*(b - 1)*(b + 1)**2
Let k(b) be the first derivative of 0*b - 4 + 5/22*b**4 + 14/33*b**3 + 2/11*b**2. Factor k(d).
2*d*(d + 1)*(5*d + 2)/11
Let b be (((-1512)/(-70))/(-9))/(-4 + 1). Factor 117/5*l**4 + 0 + 81/5*l**5 + b*l**2 + 8*l**3 + 0*l.
l**2*(l + 1)*(9*l + 2)**2/5
Let x(o) = -11*o**2 - 29*o - 13. Let p(z) = 39*z**2 + 102*z + 45. Let q(f) = -5*p(f) - 18*x(f). Determine r so that q(r) = 0.
-3, -1
Let m(c) be the third derivative of -1/120*c**5 + 0*c + 0 + 3*c**2 + 1/1344*c**8 + 1/280*c**7 - 1/32*c**4 - 1/24*c**3 + 1/240*c**6. Find s, given that m(s) = 0.
-1, 1
Let r(p) = p**3 - p**2 + p. Let w(h) = 26*h**3 - 53*h**2 + 17*h. Let j(t) = 5*r(t) - w(t). Factor j(a).
-3*a*(a - 2)*(7*a - 2)
Suppose 3*j - 13 = -d, 0 = -j + 2 + 1. Factor 4*h**2 + h**d + 2*h**2 + 4*h**3 - 4*h - 4 + 0*h**4 - 3*h**2.
(h - 1)*(h + 1)*(h + 2)**2
Let c(z) be the second derivative of -1/135*z**6 + 0*z**3 + 0*z**2 - 8*z - 1/54*z**4 + 0 + 1/45*z**5. Determine w, given that c(w) = 0.
0, 1
Factor 6*n**3 + 1 - 3*n**2 - 1.
3*n**2*(2*n - 1)
Let p = -184 + 922/5. Determine b, given that 8/5 - p*b**3 + 2*b**2 - 16/5*b = 0.
1, 2
Let z be (2/88)/((-109)/(-872)). Factor 0*w + 0 - z*w**2.
-2*w**2/11
Suppose 4 = b + k, -b - k = b - 7. Suppose 2*x - 12 = 3*x + 3*a, 0 = 2*x + b*a + 12. What is v in x*v + 2/3*v**3 + 2/3*v**5 + 0*v**2 + 0 + 4/3*v**4 = 0?
-1, 0
Factor 0 - 1/3*v - 36*v**3 - 72*v**4 - 6*v**2.
-v*(6*v + 1)**3/3
Let t(u) be the second derivative of u**10/560 + u**9/280 - u**7/315 - u**4/12 - 2*u. Let r(c) be the third derivative of t(c). Factor r(q).
2*q**2*(3*q - 1)*(3*q + 2)**2
Let s(g) be the first derivative of 2*g**5/5 - 2*g**3/3 + 9. Find z such that s(z) = 0.
-1, 0, 1
Let y(m) be the second derivative of m**5/110 - m**4/33 - m**3/33 + 2*m**2/11 + 20*m. Factor y(p).
2*(p - 2)*(p - 1)*(p + 1)/11
Suppose 3 = 2*c - c. Let u(r) be the first derivative of 0*r - 1/3*r**c - r**2 - 2. Factor u(w).
-w*(w + 2)
Let t(a) = -a**3 - a**2 + a - 2. Let h(z) = -z**3 - 2*z**2 + z - 3. Let j(u) = -6*h(u) + 10*t(u). Suppose j(c) = 0. Calculate c.
-1, 1/2, 1
Let r be -26*1/(-1 - 1). Let b = 19 - r. Factor 8*j**3 - 24*j**3 - 2*j - j**4 - b*j**4 - 11*j**2.
-j*(j + 1)**2*(7*j + 2)
Let o(g) be the second derivative of 0 + 1/20*g**5 - 5/12*g**4 - 5*g + 4/3*g**3 - 2*g**2. Factor o(d).
(d - 2)**2*(d - 1)
Let o(m) = -10*m**4 - 2*m**3 + 8*m**2 - 4*m - 4. Let b(w) = -9*w**4 - 2*w**3 + 7*w**2 - 3*w - 3. Let d(p) = -4*b(p) + 3*o(p). Factor d(k).
2*k**2*(k + 1)*(3*k - 2)
Let a(s) be the second derivative of s**6/30 + s**5/20 - s**4/4 - s**3/6 + s**2 + 2*s. Let f(q) = q**2 - 1. Let r(c) = a(c) + 2*f(c). Factor r(d).
d*(d - 1)*(d + 1)**2
Suppose -4*g - g = 2*g. Solve g + 2/9*k**2 - 4/9*k**3 + 2/9*k = 0.
-1/2, 0, 1
Let i(g) be the first derivative of 4*g**5/35 + 3*g**4/7 + 4*g**3/7 + 2*g**2/7 - 12. Find z such that i(z) = 0.
-1, 0
Suppose j - 11 = -3*v + 2*j, 8 = 4*v + 2*j. Let t(w) be the first derivative of -1/16*w**4 + 1/4*w**v + 1 + 1/4*w - 3/8*w**2. Factor t(b).
-(b - 1)**3/4
Let y(s) = 31*s**4 - 239*s**3 + 451*s**2 - 165*s - 90. Let h(n) = 30*n**4 - 240*n**3 + 450*n**2 - 165*n - 90. Let i(r) = -4*h(r) + 5*y(r). Factor i(k).
5*(k - 3)**2*(k - 1)*(7*k + 2)
Factor 16 + c**3 + 48*c - 29*c**2 + 19*c**3 + 3*c**4 + 77*c**2.
(c + 2)**3*(3*c + 2)
Let w(f) be the third derivative of f**8/252 - 22*f**7/315 + 4*f**6/15 + 4*f**5/5 + 68*f**2. Factor w(z).
4*z**2*(z - 6)**2*(z + 1)/3
Let i be (6/(-8))/(5*(-3)/40). Suppose 0 = s + s. What is f in 2/9*f**3 + 0*f + s + 0*f**i = 0?
0
Suppose 27*r = 29*r. Factor -2/11*h**2 + r + 0*h.
-2*h**2/11
Let w(i) = -6*i**2 - 4. Let f(m) = -11*m**2 - 7. Let g = -12 - -8. Let y(n) = g*f(n) + 7*w(n). What is d in y(d) = 0?
0
Let i be (0 + 2 + -3)*0. Suppose 3*h + 4*t + 1 = 3, -3*h - 2*t + 4 = i. Suppose 0 - 1/2*b + b**h - b**4 + 1/2*b**5 + 0*b**3 = 0. What is b?
-1, 0, 1
Let w(i) be the third derivative of 0 - 1/4*i**4 - 2/3*i**3 + 0*i + 5*i**2 + 1/15*i**5. Determine o so that w(o) = 0.
-1/2, 2
Let r(d) be the third derivative of 3*d**2 + 0*d + 1/60*d**4 + 0*d**3 + 37/200*d**6 - 4/21*d**7 - 1/12*d**5 + 0 + 1/15*d**8. Find a, given that r(a) = 0.
0, 1/4, 2/7, 1
Let m(j) be the first derivative of 5*j**3/6 - 5*j**2/4 + 1. Determine p so that m(p) = 0.
0, 1
Let h be (0/(-5) - 0)/(5/5). Let h + 3/7*u**2 - 3/7*u = 0. What is u?
0, 1
Suppose -k - 13 = 2*i - 5*i, 3*i = 4*k + 25. Suppose 3*j = -