)*(l + 1)*(l + 2)**2/5
Suppose -2*s = -3*s - 3*c - 17, 5*c = 4*s. Let k be (-1)/2*(s - 11). Factor -14*m + 6*m**2 + k*m + 15*m**2.
3*m*(7*m - 2)
Let i(d) = -d**2 + 2*d - 2. Let p(z) = z - 1. Suppose -4*w + 20 = -8. Let x be p(w). Let r(o) = -4*o**2 + 7*o - 7. Let c(n) = x*r(n) - 21*i(n). Solve c(y) = 0.
0
Suppose 0 = 2*y - 0*y + 6. Let r(d) = -d**3 - 3*d**2 + 3. Let o be r(y). Factor 3*k**3 - 2*k**3 - 3*k**2 - 3*k**3 + 6*k - k**o.
-3*k*(k - 1)*(k + 2)
Suppose -3 - 9 = -4*o. Suppose 0*a = -5*a + 5, o*g - 4*a + 4 = 0. Find v, given that -5 - 60*v**3 - 40*v - 86*v**2 + g - 9*v**2 = 0.
-1, -1/3, -1/4
Suppose 8*t - 4*t = -4*t. Let n(z) be the first derivative of 0*z**5 + 1/5*z**2 + 0*z - 1/5*z**4 + 1/15*z**6 + 4 + t*z**3. Determine u, given that n(u) = 0.
-1, 0, 1
Let r = -23 - -35. Factor -3*q**3 + r*q + q**2 + q**2 - 12 + q**2.
-3*(q - 2)*(q - 1)*(q + 2)
Let g be (-2)/15*-3 - (-46)/10. Find u, given that 1 - 2*u**4 + 2 - g*u + 5*u**3 - 1 = 0.
-1, 1/2, 1, 2
Let g(y) be the first derivative of 0*y**5 - 4 + 0*y**3 + 0*y**2 + 1/6*y**4 - 1/9*y**6 + 0*y. Find u such that g(u) = 0.
-1, 0, 1
Let s = -272 + 272. Let t(q) be the first derivative of 2/3*q**3 + 4 + s*q + q**2. Determine c, given that t(c) = 0.
-1, 0
Let h(q) = q**3 + q**2 + 9. Let p be h(-5). Let m be ((-104)/p)/(20/14). Factor -126/5*y**3 - 49/5*y**4 - 109/5*y**2 - m - 36/5*y.
-(y + 1)**2*(7*y + 2)**2/5
Let n(l) be the third derivative of -l**5/8 + 25*l**4/24 + 10*l**3/3 - l**2. Factor n(x).
-5*(x - 4)*(3*x + 2)/2
Let k(f) = -f**3 - 2*f**2 + 4*f + 5. Suppose -9 = 2*q + 2*w + 5, 0 = 4*q - 3*w. Let c be k(q). Factor 0 - 3/2*t**3 + 0*t**c + 3/2*t.
-3*t*(t - 1)*(t + 1)/2
Find x such that -133/4*x**2 + 45/4 + 3/4*x**3 - 91/4*x = 0.
-1, 1/3, 45
Let p(s) = 3*s**2 - 42*s + 11. Let b be p(15). Let y be (468/b)/13 - 3/6. Factor 0 - 1/7*h**4 + 1/7*h**2 + y*h - 1/7*h**3.
-h*(h - 1)*(h + 1)**2/7
Let k(y) be the second derivative of 0*y**2 - 5*y - 9/20*y**5 + 0*y**3 + 0 - 1/14*y**7 - 9/4*y**4 + 1/2*y**6. Factor k(g).
-3*g**2*(g - 3)**2*(g + 1)
Suppose s = 3*n - 2*n + 3, -s = -4*n. Let o be s/(-6) + 24/9. Find c such that 7 + 18*c**o + 2*c**2 + 3 - 28*c - 2 = 0.
2/5, 1
Suppose 5*i - 7 - 33 = -5*s, 0 = 3*i - 5*s + 8. Let x(a) be the first derivative of -1/6*a**2 + 1/12*a**i + 1 + 0*a**3 + 0*a. Let x(g) = 0. Calculate g.
-1, 0, 1
Let z(l) be the first derivative of -3*l**4/28 + 149. Factor z(j).
-3*j**3/7
Factor 9/8*k**4 + 53/8*k**2 - 13/8*k - 3/4 - 43/8*k**3.
(k - 3)*(k - 1)**2*(9*k + 2)/8
Suppose 0*k = 6*k + 12. Let p be -2 + k*(-4)/4. Factor -1/2*d - 1/2*d**2 + p.
-d*(d + 1)/2
Let i(v) be the second derivative of v**7/126 + 19*v**6/45 + 107*v**5/20 - 190*v**4/9 + 200*v**3/9 - 54*v. What is p in i(p) = 0?
-20, 0, 1
Let p(o) be the second derivative of 3/8*o**2 - 3/16*o**3 + 0 + 1/32*o**4 + 5*o. Suppose p(f) = 0. What is f?
1, 2
Let r(x) be the third derivative of x**8/1512 + 4*x**7/315 + 7*x**6/90 + 26*x**5/135 + 7*x**4/36 - x**2 + 15*x. Determine q, given that r(q) = 0.
-7, -3, -1, 0
Let w(o) = -o**3 + 14*o**2 + 13*o + 3. Let f be w(15). Let t = -27 - f. Factor 0*z + 3*z**3 + 4 - 6*z - z**3 + t*z**3.
2*(z - 1)**2*(z + 2)
Factor 8/5*d**3 + 62/5*d + 58/5*d**2 + 12/5.
2*(d + 1)*(d + 6)*(4*d + 1)/5
Let w(j) be the first derivative of -2*j**5/65 + j**4/13 + 118*j**3/39 - 60*j**2/13 - 1800*j/13 + 105. Find f, given that w(f) = 0.
-5, 6
Let v = -154 - -159. Let x(h) be the third derivative of 1/168*h**4 - 1/840*h**6 - 1/42*h**3 + 3*h**2 + 0*h + 0 + 1/420*h**v. Determine g so that x(g) = 0.
-1, 1
Let r(d) be the second derivative of 2*d**6/45 - 3*d**5/5 + 7*d**4/3 - 38*d**3/9 + 4*d**2 + 239*d - 2. Suppose r(y) = 0. Calculate y.
1, 6
Let y(i) = i**2 + 3*i - 2. Let b be y(-4). Factor -162 + 26*u - 6*u - 2*u**b + 16*u.
-2*(u - 9)**2
Let y = 86 + -84. Let -94*i**3 - 7*i**y + 4*i + 82*i**3 - i**2 = 0. What is i?
-1, 0, 1/3
Let q be ((-124)/6 + 1)/(4/(-12)). Let p = -117/2 + q. Factor 1/4*l**3 + 0 - p*l - 1/4*l**2.
l*(l - 2)*(l + 1)/4
Let k(h) be the third derivative of h**5/390 - 31*h**4/78 + 40*h**3/13 - h**2 + 170. What is j in k(j) = 0?
2, 60
Factor -3*p**2 - 27*p - 174 - 23*p + 3*p**2 - 31*p + 3*p**2.
3*(p - 29)*(p + 2)
Let o be 10/(-4)*12/(-15). Let c be (-128)/(-3 + -1) + 0. Solve -i**o - c + 30 + i + 2*i = 0 for i.
1, 2
Let u(o) be the first derivative of 0*o**2 - 4/21*o**6 - 4/7*o**4 + 5 + 0*o + 4/21*o**3 + 4/7*o**5. Factor u(q).
-4*q**2*(q - 1)**2*(2*q - 1)/7
Suppose l - 12 = -5*h - l, 0 = 4*l + 16. Let o be 3/(-2) + 22/h. Determine r, given that -3 - 3*r**4 - 3 + o*r**3 + 4*r**2 - 2*r - 2*r**5 + r**4 + 4 = 0.
-1, 1
Solve 0 + 27/2*z**4 - 24*z**3 - 6*z**2 + 0*z = 0 for z.
-2/9, 0, 2
Let o be (315 - (-7 + 6))*4/730. Let j = 5/73 + o. Factor 0 - 3/5*g - 9/5*g**3 + 3/5*g**4 + j*g**2.
3*g*(g - 1)**3/5
Let y be -5 + 10 - 45/9. Let l(b) be the second derivative of 0*b**2 + y - 1/60*b**6 + 0*b**4 + 2*b + 1/40*b**5 + 0*b**3. Let l(w) = 0. What is w?
0, 1
Let d(x) be the third derivative of -x**7/168 + x**6/72 + x**5/24 + x**4/6 + 8*x**2. Let b(j) be the second derivative of d(j). Find i such that b(i) = 0.
-1/3, 1
Let c(q) be the second derivative of q**6/72 - 5*q**5/24 + 5*q**4/4 - q**3/2 + 25*q. Let b(x) be the second derivative of c(x). Suppose b(t) = 0. Calculate t.
2, 3
Let b be (-3 - -4)/((45/50)/1). Suppose -5*w - 4*j = -3, 3*j + 21 = 3*w + 3. Suppose -2/9*l**w + 2/3*l**2 + 4/9 + b*l - 2/9*l**4 = 0. Calculate l.
-1, 2
Suppose 49 = 3*s - 5. Let k = s - 16. Factor 7/2*a**4 + 0*a**k + 0*a - a**3 + 0.
a**3*(7*a - 2)/2
Let l(q) = q**2 + 180*q + 2. Let b be l(0). Let 2/7*u**5 - 4/7*u + 6/7*u**4 + 2/7*u**3 - 6/7*u**b + 0 = 0. What is u?
-2, -1, 0, 1
Let l(s) be the third derivative of -s**7/420 + 2*s**6/15 - 3*s**5/4 + 11*s**4/6 - 29*s**3/12 + 2*s**2 - 22. Let l(k) = 0. What is k?
1, 29
Find p, given that -13/4*p - 1/4*p**2 - 3 = 0.
-12, -1
Let w(p) be the second derivative of p**7/119 - 13*p**6/255 + 19*p**5/170 - 11*p**4/102 + 2*p**3/51 - 42*p. Solve w(u) = 0.
0, 1/3, 1, 2
Let n(l) be the third derivative of l**9/756 + l**8/420 - l**7/105 - 11*l**3/3 - 19*l**2. Let p(t) be the first derivative of n(t). Factor p(k).
4*k**3*(k - 1)*(k + 2)
Let p(s) be the first derivative of s**6/7 - 8*s**5/35 - 25*s**4/14 + 92*s**3/21 + 4*s**2/7 - 48*s/7 + 245. Solve p(u) = 0.
-3, -2/3, 1, 2
Factor -33*b**2 + 243 - 54*b + 66*b**2 - 30*b**2.
3*(b - 9)**2
Let l(a) be the third derivative of -a**6/30 - 29*a**5/15 - 14*a**4/3 - 231*a**2. Factor l(h).
-4*h*(h + 1)*(h + 28)
Let o be 58/18 + (-4)/18. Find z such that z**o + 9*z**2 + 1 - 7*z + 13*z + 3*z**3 = 0.
-1, -1/4
Let a(j) be the third derivative of 0 + 13*j**2 - 2/15*j**3 - 1/40*j**4 + 0*j + 1/300*j**5. Suppose a(i) = 0. What is i?
-1, 4
Let d be ((20 - 16)/28)/(2/28). Find t, given that 44/7*t - 4/7 - 121/7*t**d = 0.
2/11
Let x(w) = -4*w. Let y be x(1). Let u(d) = d**3 - 79*d**2 - 277*d - 307. Let o(t) = -t**3 + 40*t**2 + 139*t + 154. Let q(l) = y*u(l) - 7*o(l). Factor q(c).
3*(c + 2)*(c + 5)**2
Let p(q) be the first derivative of q**4/96 + q**3/3 + 4*q**2 + 12*q + 19. Let c(a) be the first derivative of p(a). Solve c(b) = 0.
-8
Let g(j) be the third derivative of -j**10/37800 + j**8/5040 - 17*j**5/20 + 18*j**2. Let k(m) be the third derivative of g(m). Determine a, given that k(a) = 0.
-1, 0, 1
Let r(p) = -p**3 - 5*p**2 - p - 1. Suppose -l + 15 = -4*l, 5*a = 5*l. Let w be r(a). Find q, given that q**4 - 5*q**w + 2*q**3 + 2*q**4 = 0.
0, 1
Suppose -2*w + 6 = -2*t, -6 = -2*t - t. Factor -35 + 35 - q**2 - 3*q**4 - q**2 + w*q**3.
-q**2*(q - 1)*(3*q - 2)
Let x(w) = 12*w**4 - 4*w**3 - 8*w**2 + 4*w - 2. Let o(y) = -25*y**4 + 7*y**3 + 15*y**2 - 7*y + 5. Let h(l) = -4*o(l) - 10*x(l). Factor h(u).
-4*u*(u - 1)*(u + 1)*(5*u - 3)
Let a = -1/522 + 581/522. Factor -2/9*m**5 - 2/3*m**2 + 0*m + a*m**3 - 2/9*m**4 + 0.
-2*m**2*(m - 1)**2*(m + 3)/9
Let p(k) be the third derivative of 1/45*k**5 - 13*k**2 + 1/30*k**6 - 1/18*k**4 + 1/126*k**8 - 2/63*k**7 + 0*k**3 + 0*k + 0. What is o in p(o) = 0?
-1/2, 0, 1
Let r be (-1)/((-8)/(-6))*2405/(-4810). What is k in -27/2*k - 18*k**2 + 0 - r*k**4 - 39/8*k**3 = 0?
-6, -1, 0
Factor -14/11 + 2/11*v**2 - 12/11*v.
2*(v - 7)*(v + 1)/11
Let w(q) = 4*q**2 - 16*q + 11. Let u be w(5). Suppose 0 = -35*k + u*k + 8. Factor 0*i - 1/4 + 1/4*i**k.
(i - 1)*(i + 1)/4
Let b