z**5 + 0*z - 2/13*z**4. Factor s(m).
2*m**2*(m - 2)*(3*m + 2)/13
Let x(l) = -1188*l**2 + 5291*l - 5782. Let i(b) = -238*b**2 + 1058*b - 1156. Let k(t) = 11*i(t) - 2*x(t). Let k(z) = 0. Calculate z.
24/11
Let f(p) be the third derivative of -p**7/1260 - p**6/360 - p**5/360 - 51*p**2. Determine k, given that f(k) = 0.
-1, 0
Let q = -28 + 93. Factor q + 3*i**2 - 3 + 63 + 50*i + 2*i**2.
5*(i + 5)**2
Let a(p) be the first derivative of -2*p**5/5 - p**4 + 10*p**3/3 + 6*p**2 + 16. Let a(n) = 0. What is n?
-3, -1, 0, 2
Let q be (2 - (-8)/(-12))/((-3)/36). Let v be 2/5 + q/140. Factor -v*i + 0 + 2/7*i**2.
2*i*(i - 1)/7
Factor 36 + 0*h**2 + 598*h - 580*h + 2*h**2.
2*(h + 3)*(h + 6)
Suppose -23 = -4*q - 5*l + 6, 4*l - 4 = 0. Let k(u) = u**2 - 3*u - 1. Let g be k(4). Factor 3 - 9*r**5 + g*r**4 - q*r**4 + 6*r**3 - 3.
-3*r**3*(r + 1)*(3*r - 2)
Let q(o) be the second derivative of -25*o**7/14 - 69*o**6/2 - 798*o**5/5 - 298*o**4 - 264*o**3 - 120*o**2 + 129*o. Suppose q(u) = 0. What is u?
-10, -2, -1, -2/5
Let m(i) be the first derivative of -i**9/13608 + i**8/7560 + i**7/3780 - i**6/1620 + 2*i**3 + 7. Let l(s) be the third derivative of m(s). Factor l(j).
-2*j**2*(j - 1)**2*(j + 1)/9
Suppose n**2 - n**2 + 18*n - 89 - 2*n**3 + 89 = 0. What is n?
-3, 0, 3
Suppose 5*n + 1079 - 1093 = -3*p, 5*n = 2*p + 24. Determine r so that 0 + 4/19*r + 8/19*r**n + 10/19*r**2 - 22/19*r**3 = 0.
-1/4, 0, 1, 2
Let w(p) be the first derivative of -5*p**6/12 + 67*p**5/10 - 81*p**4/8 - 43*p**3/6 + 43*p**2/2 - 12*p - 545. Let w(i) = 0. What is i?
-1, 2/5, 1, 12
Let l(w) be the second derivative of 0*w**2 + 3 + 1/78*w**4 + w + 1/130*w**5 - 2/13*w**3. Factor l(y).
2*y*(y - 2)*(y + 3)/13
Let k(q) be the third derivative of 0 - 1/8*q**4 - 4*q**2 - 5/12*q**3 - 1/120*q**5 + 0*q. Factor k(d).
-(d + 1)*(d + 5)/2
Let q(b) be the second derivative of -b**4/18 - b**3 - 268*b. Suppose q(i) = 0. Calculate i.
-9, 0
Solve 5*p + 125*p**4 + 7*p - 42*p**4 + 6*p**3 - 41*p**4 - 21*p**2 - 39*p**4 = 0 for p.
-4, 0, 1
Let h(g) = g**3 + 6*g**2 + 4*g - 3. Let n be h(-5). Factor 3 - 33*m - 83*m**3 + 3 + 17*m**4 - 2*m**4 + 32*m**3 + 63*m**n.
3*(m - 1)**3*(5*m - 2)
Determine x so that 39/4*x - 15/4*x**3 - 15/2 + 9/4*x**2 - 3/4*x**4 = 0.
-5, -2, 1
Let c(j) be the second derivative of j**6/120 - j**5/40 + j**3/12 - 5*j**2/2 - 3*j. Let i(a) be the first derivative of c(a). Let i(p) = 0. Calculate p.
-1/2, 1
Factor -1217*h**5 + h**3 - 8*h**4 + 2428*h**5 - 1212*h**5 + 8*h**2.
-h**2*(h - 1)*(h + 1)*(h + 8)
Let p = -27512/775 + -1/1550. Let z = 36 + p. Determine g so that 0 + 1/4*g**4 - z*g - 1/4*g**2 + 1/2*g**3 = 0.
-2, -1, 0, 1
Suppose -4 - 2*l**4 + 5*l**2 + l + 7*l - 5*l**3 + 8*l**2 + 8*l**2 - 18*l**2 = 0. What is l?
-2, 1/2, 1
Suppose 4*a - 2*i - 18 = -10, 3*i + 2 = a. Factor 0 + 1/2*k**a - 3/2*k.
k*(k - 3)/2
Let x(g) be the first derivative of -3*g**2 - 9/4*g**4 - 22 - 9*g**3 + 12/5*g**5 + 0*g. Factor x(f).
3*f*(f - 2)*(f + 1)*(4*f + 1)
Factor -4/3*r + 0 - r**3 - 5/3*r**4 + 4*r**2.
-r*(r - 1)*(r + 2)*(5*r - 2)/3
Let j(b) be the second derivative of -b**6/240 + 7*b**5/160 - 13*b**4/96 - b**3/16 + 9*b**2/8 + 201*b. Determine n so that j(n) = 0.
-1, 2, 3
Let s be 1/3 + ((-1)/63)/((-92)/8004). Factor 10/7*n + 4/7*n**2 - s - 2/7*n**3.
-2*(n - 3)*(n - 1)*(n + 2)/7
Let c(w) be the third derivative of w**7/3150 - 2*w**6/225 + 8*w**5/75 - w**4/12 + 23*w**2. Let d(l) be the second derivative of c(l). Factor d(h).
4*(h - 4)**2/5
Let h(b) be the second derivative of -b**7/63 + 2*b**6/45 + b**5/15 - 4*b**4/9 + 7*b**3/9 - 2*b**2/3 + 130*b. Find y such that h(y) = 0.
-2, 1
Let o(r) be the second derivative of 3*r**5/2 - 47*r**4/6 + 2*r**3 + 93*r. Let o(f) = 0. What is f?
0, 2/15, 3
Let r(d) = d + 5. Let h(p) = -1. Let a(w) = 3*h(w) - r(w). Let m be a(-11). Find f, given that 2*f**m - 5*f**3 + 5*f - 2*f = 0.
-1, 0, 1
Suppose s - 5*j - 12 = -0*s, 5*s - 5*j = 20. Factor 3/2*r**s - 6 + 9/2*r.
3*(r - 1)*(r + 4)/2
Suppose -8*c - 48 = -44*c + 12*c. Let 1/6*l - 1/2*l**c + 1/6*l**4 + 1/3 - 1/6*l**3 = 0. What is l?
-1, 1, 2
Factor 9/4 + 289/4*n**2 - 51/2*n.
(17*n - 3)**2/4
Suppose 3*c + u = 13, -c + 3*u + 4 = 3. Suppose 2*v + n = 722, -v - n - 1078 = -c*v. Find r such that 345*r**2 - 6*r - 9*r - 5*r**3 - 5 - v*r**2 = 0.
-1
Let d(y) = -21 + 5*y**2 + 10 - 4*y**2 + 3 + 10*y. Let l be d(-11). Factor 1/6*z**4 - 1/6*z**l + 0*z + 1/6*z**5 - 1/6*z**2 + 0.
z**2*(z - 1)*(z + 1)**2/6
Suppose -5*w = 5*r + 35, -5 = 6*r - 5*r. Let o be 24/18 + 0 + w/(-3). Solve -3/5*g**4 - 48/5 + 0*g**3 + 24/5*g**o + 0*g = 0.
-2, 2
Suppose -5*n = -13 + 3. Let 18*o - 31 + 12*o - 3*o**n - 44 = 0. Calculate o.
5
Let a(i) be the third derivative of i**7/420 + i**6/48 + 7*i**5/120 + i**4/16 - 76*i**2 + i. Factor a(c).
c*(c + 1)**2*(c + 3)/2
Let v(s) = -s**2 - 11*s - 22. Let y be v(-5). Let g(m) be the first derivative of -8/27*m**3 + 1/6*m**4 + 0*m + y + 1/9*m**2. Factor g(t).
2*t*(t - 1)*(3*t - 1)/9
Let m(h) = 10*h - 4. Let k be m(2). Factor k - 22*p - 28*p**2 - 12*p**3 + 22*p.
-4*(p + 1)*(p + 2)*(3*p - 2)
Let i(l) be the second derivative of l**6/315 - l**4/42 + 2*l**3/63 + 402*l. Factor i(n).
2*n*(n - 1)**2*(n + 2)/21
Suppose 3*x + 0*p + 2*p = 11, 5*x - 35 = 5*p. Factor -4*o - 8*o - 10 - 39*o**2 - 3*o**x - 45*o**3 + 10 - 21*o**4.
-3*o*(o + 1)**3*(o + 4)
Find b, given that -10*b**5 - 8*b**4 + 52*b + 43*b + 95*b**3 - 20 - 31*b**2 - 124*b**2 + 3*b**4 = 0.
-4, 1/2, 1
What is l in 22*l**2 - 18 - 1609*l + 10*l**4 - 48*l**3 - 14 + 1657*l = 0?
-1, 4/5, 1, 4
Suppose 31*h - 4 + 4 = 103*h. Suppose 1/2*k**4 - 2*k**3 + h*k - 5/2*k**2 + 0 = 0. Calculate k.
-1, 0, 5
Let p(d) be the second derivative of d**6/105 + d**5/5 + 6*d**4/7 + 34*d**3/21 + 11*d**2/7 + 672*d. Factor p(a).
2*(a + 1)**3*(a + 11)/7
Let w be -10 - (170/(-50) - 7). Factor 0*x - 3/5*x**3 - w*x**2 + 0 - 1/5*x**4.
-x**2*(x + 1)*(x + 2)/5
Let z(o) be the third derivative of -o**8/10080 - o**7/630 + o**6/72 + 9*o**5/20 + 26*o**2. Let q(v) be the third derivative of z(v). Factor q(y).
-2*(y - 1)*(y + 5)
Suppose -5*z = -6 - 14. Find y, given that 4*y**5 - 2*y - 16*y**4 + z*y**2 + 12*y**4 - 3*y**3 + y = 0.
-1, 0, 1/2, 1
Let v(r) be the first derivative of 2/25*r**5 + 0*r + 26 - 2/5*r**2 + 3/10*r**4 - 1/15*r**6 - 2/15*r**3. Solve v(u) = 0.
-1, 0, 1, 2
Suppose 4*c + 80 = 4*n, 2*c - 78 = -3*n + 2. Let 12*p**4 + 36*p**3 - n*p - 48*p**2 + 0 - 15/2*p**5 = 0. Calculate p.
-2, -2/5, 0, 2
Factor 6600*j**2 - 2000000/9 - 598/9*j**3 - 1940000/9*j + 2/9*j**4.
2*(j - 100)**3*(j + 1)/9
Let q(r) be the third derivative of 0 + 1/24*r**6 + 0*r**7 + 0*r**5 + 0*r**3 + 0*r - 5/336*r**8 + 0*r**4 - 4*r**2. Factor q(g).
-5*g**3*(g - 1)*(g + 1)
Suppose q - 11 = 3*l - 6, -5*q = -25. Let n(h) be the third derivative of 0*h + l*h**3 - 1/270*h**5 - 1/108*h**4 + 0 + 5*h**2. Let n(x) = 0. What is x?
-1, 0
What is p in -2/5 - 6/5*p**2 + 13/5*p = 0?
1/6, 2
Let o(x) be the third derivative of -9*x**5/20 - 55*x**4/2 - 6050*x**3/9 + 551*x**2. Factor o(g).
-(9*g + 110)**2/3
Suppose 10*g = 14*g - 12. Factor 4/3*b**2 + 0*b**g + 0*b - 2/3 - 2/3*b**4.
-2*(b - 1)**2*(b + 1)**2/3
Let q = 17273/175 + -2464/25. Let q + 6/7*j - j**2 = 0. What is j?
-1/7, 1
Let k(d) be the third derivative of d**7/10080 + d**6/480 + 13*d**4/24 - 3*d**2. Let b(o) be the second derivative of k(o). Solve b(j) = 0.
-6, 0
Let s(h) be the second derivative of -h**7/420 - h**6/30 - 3*h**5/20 - 10*h**3/3 - 5*h. Let d(u) be the second derivative of s(u). Factor d(l).
-2*l*(l + 3)**2
Let k(f) be the first derivative of f**4/4 + 2*f**3/3 - 7*f**2/2 + 4*f + 20. Factor k(l).
(l - 1)**2*(l + 4)
Let j(r) be the second derivative of 1/18*r**4 + 1/10*r**5 + 0 + 1/15*r**6 + 1/63*r**7 + r + 0*r**3 + 0*r**2. Factor j(y).
2*y**2*(y + 1)**3/3
Let n be 0/2*2/2. Factor -3*h - 6*h - h + 2 + n*h + 8*h**2.
2*(h - 1)*(4*h - 1)
Let h(x) be the third derivative of -17*x**7/42 - 53*x**6/24 + 11*x**5/12 + 265*x**4/24 + 5*x**3 + 143*x**2. Let h(c) = 0. What is c?
-3, -1, -2/17, 1
Suppose 47*u = -31*u. Let q(j) be the third derivative of 1/180*j**6 + u - 1/36*j**4 + 0*j - 1/45*j**5 - 6*j**2 + 2/9*j**3. Find o, given that q(o) = 0.
-1, 1, 2
Let c(i) = 2*i**3 - 59*i**2 + 27*i + 60. Let f be c(29). Let r(d) be the first derivative of d**2 - 2/9*d**3 - 4/3*d - f. Factor r(l).
-2*(l - 2)*(l - 1)/3
Let s(o) be the third der