2*(c + 3)**2
Let a(k) be the first derivative of 2*k**6 - 2*k**5/5 - 11*k**4/2 + 2*k**3 + 5*k**2 - 4*k + 76. Let a(s) = 0. Calculate s.
-1, 1/2, 2/3, 1
Let u be (-146)/(-10) - 704/88 - 6. Let o(y) be the first derivative of -12/25*y**5 - 7 + 0*y**2 + 0*y + 2/15*y**6 + u*y**4 - 4/15*y**3. Factor o(n).
4*n**2*(n - 1)**3/5
Let o(j) be the third derivative of j**5/90 + 13*j**4/144 + j**3/12 - 5*j**2. Suppose o(r) = 0. Calculate r.
-3, -1/4
Let h(q) = q**2 + 20*q + 21. Let k be h(-19). Solve -p**5 + 2*p**5 - p**3 - 2*p**5 - 3*p**4 + 0*p + k*p + 3*p**2 = 0 for p.
-2, -1, 0, 1
Factor 0*l - 4/7*l**4 - 160/7*l**3 + 0 + 0*l**2.
-4*l**3*(l + 40)/7
Let k(d) be the second derivative of 5*d**4/12 + 55*d**3/6 - 30*d**2 - 7*d - 2. Factor k(u).
5*(u - 1)*(u + 12)
Suppose -2*i - 4335 = -5*i. Let -8*s - i + 1445 + 4*s**2 = 0. Calculate s.
0, 2
Let i(k) = k**3 + 43*k**2 - 42*k + 91. Let f be i(-44). Let 1 + 1/2*x**f - 3/2*x + 0*x**2 = 0. What is x?
-2, 1
Suppose -3*b - p + 20 = 7, -p = -3*b + 5. Let w be (21/(-6) + b)*-8. Determine k, given that -k**w - 1/2*k**5 + 0*k**2 - 1/2*k**3 + 0*k + 0 = 0.
-1, 0
Let f = 65 + -75. Let d be 1 - 8/(6 + f). Factor -4/9*w**2 - 4/9*w**d + 0*w + 0.
-4*w**2*(w + 1)/9
Let g(w) = -231*w - 1617. Let z be g(-7). Let -7/3*y**3 - 1/3*y**2 + 0*y + z - 3*y**5 - 5*y**4 = 0. What is y?
-1, -1/3, 0
Let x = 8 + -16. Let z = -2 - x. Factor 3*m + 1 - 4*m**4 - 4*m**3 - 3 - z + 12*m**2 + m.
-4*(m - 1)**2*(m + 1)*(m + 2)
Let j(p) be the first derivative of 1/3*p**4 - 2*p**2 - 1/5*p**5 + 2/3*p**3 + 11*p - 5. Let u(b) be the first derivative of j(b). Factor u(i).
-4*(i - 1)**2*(i + 1)
Let -12*i**4 + 149*i**3 + i**4 + i**4 - 64*i**3 + 20*i**3 = 0. What is i?
0, 21/2
Let w(p) be the second derivative of 4*p + 0 + 1/20*p**4 + 1/10*p**3 - 3/5*p**2. Determine h so that w(h) = 0.
-2, 1
Suppose 0 = -m + 32 - 27. Let w(a) = -13*a**3 + 7*a**2 + 5*a. Let n(t) = 7*t**3 - 4*t**2 - 3*t. Let p(r) = m*n(r) + 3*w(r). Solve p(d) = 0 for d.
0, 1/4
Let y(x) be the second derivative of -2*x**6/135 - 29*x**5/180 - 17*x**4/36 - 31*x**3/54 - 5*x**2/18 + 110*x. Solve y(h) = 0 for h.
-5, -1, -1/4
Let v(p) be the second derivative of -5*p**7/252 - p**6/18 + 11*p**5/24 + 25*p**4/9 + 55*p**3/9 + 20*p**2/3 - 57*p. Solve v(d) = 0.
-2, -1, 4
Let v = 24 - 34. Let s be 2/10 + 2/v. Let 2/7*a**3 + 2/7*a + s - 4/7*a**2 = 0. Calculate a.
0, 1
Let k(f) = 1. Let l(n) = -5*n + 2. Let y(s) = -k(s) - l(s). Let j be y(1). Solve -4/5*o**4 - 3/5*o + 3/5*o**3 + o**j - 1/5 = 0 for o.
-1, -1/4, 1
Determine o so that 8/11*o - 2/11*o**2 - 8/11 = 0.
2
Let n**3 + 0 + 0*n + 1/2*n**4 - 4*n**2 = 0. What is n?
-4, 0, 2
Let x(m) = -m + 24. Let b be x(20). Suppose 6*h - b*h + c = 11, 2*h - 5*c = 17. Factor 2 + 16*p - 2*p**2 - 18*p + h*p - 4*p**3.
-2*(p - 1)*(p + 1)*(2*p + 1)
Let c(p) be the first derivative of -1/60*p**5 - 1/6*p**3 - 3*p**2 - 3 + 1/12*p**4 + 0*p. Let s(l) be the second derivative of c(l). Factor s(k).
-(k - 1)**2
Let l(c) be the second derivative of -c**6/6 + c**5/2 + 35*c**4/12 + 10*c**3/3 - 6*c + 1. Find g, given that l(g) = 0.
-1, 0, 4
Let m(v) = -v**3 - 69*v**2 - 120*v + 938. Let s be m(-67). Factor 1/4*k**4 + s*k**3 + 0*k + 1/4 - 1/2*k**2.
(k - 1)**2*(k + 1)**2/4
Let -3*k**5 + 370*k + 6*k**4 - 194*k + 45*k**3 - 77*k**2 - 43*k**2 + 144 - 188*k = 0. Calculate k.
-4, -1, 2, 3
Let p(c) be the third derivative of -3*c**7/35 + c**6/3 + c**5/6 - 5*c**4/3 + 4*c**3/3 - 18*c**2. Solve p(l) = 0 for l.
-1, 2/9, 1, 2
Let w be ((-30)/63)/(13 - 837/63). Suppose -w*l**2 - 1/3*l**3 - 7/3*l - 1 = 0. What is l?
-3, -1
Let q be (-4)/18 - 188/(-36). What is j in -q*j**2 + 25*j**4 - 20 + 7*j - 25*j**3 + 51*j - 5*j**5 - 10*j**3 - 18*j = 0?
-1, 1, 2
Let k(i) be the third derivative of 0*i - 4/3*i**3 - 4*i**2 + 1/10*i**6 - 1/105*i**7 + 0 + i**4 - 13/30*i**5. Factor k(d).
-2*(d - 2)**2*(d - 1)**2
Let l = 330 - 9899/30. Let c(u) be the second derivative of 1/2*u**4 + 2/3*u**3 + l*u**6 + 0 + 4*u - 4*u**2 - 1/4*u**5. Factor c(a).
(a - 2)**3*(a + 1)
Let j(y) be the third derivative of y**7/735 + y**6/84 + y**5/35 - y**2 - 136. What is t in j(t) = 0?
-3, -2, 0
Find q, given that -q**2 + 0*q**3 - 1/2*q + 0 + q**4 + 1/2*q**5 = 0.
-1, 0, 1
Let v(p) be the first derivative of -25 + 60*p**3 + 23*p**4 + 1/3*p**6 + 81*p**2 + 54*p + 22/5*p**5. Solve v(y) = 0.
-3, -1
Let s(w) be the first derivative of -3*w**5/25 - 33*w**4/20 - 44*w**3/5 - 114*w**2/5 - 144*w/5 - 33. Determine m, given that s(m) = 0.
-4, -3, -2
Let k(f) be the second derivative of -2*f**7/21 + 34*f**6/15 - 18*f**5 + 130*f**4/3 + 182*f**3/3 - 294*f**2 - 8*f - 4. Find z such that k(z) = 0.
-1, 1, 3, 7
Let t be -4 + 2 - (-1194)/(-15). Let w = t + 82. Factor -w*m**3 + 2/5*m - 2/5*m**2 + 2/5.
-2*(m - 1)*(m + 1)**2/5
Let d(t) = 2*t**2 + 2*t - 10. Let w be d(-6). Let r be -3 + 2/28*w. Factor 2/7*h**2 + 0 + r*h.
2*h*(h + 2)/7
Let g be (-1 - -4)*(1 - (-1)/(-3)). Factor 27*v**2 - 48*v**2 + 26*v**g.
5*v**2
Let l(q) be the first derivative of -3*q**5/5 + 33*q**4/2 + 49*q**3 - 33*q**2 - 144*q + 503. Let l(i) = 0. Calculate i.
-2, -1, 1, 24
Suppose 0*j**4 + 3/2 + 3/4*j**5 - 3/2*j**2 - 3*j**3 + 9/4*j = 0. What is j?
-1, 1, 2
Let f = -13/348 + 101/116. Factor -f*v**5 + 0*v**3 + 0*v + 0*v**2 + 0 - 5/3*v**4.
-5*v**4*(v + 2)/6
Let k(j) be the first derivative of 5/2*j**2 + 2*j + 1/4*j**4 - 14 + 4/3*j**3. Factor k(d).
(d + 1)**2*(d + 2)
Factor -512*c**2 - 750 - 21*c**4 + 2528*c + 321*c**3 - 1153*c**2 + 547*c.
-3*(c - 5)**3*(7*c - 2)
Let -3/2*o**3 - 11/2*o**4 + 171/2*o**2 + 0 - 1/2*o**5 + 162*o = 0. Calculate o.
-9, -3, 0, 4
Let q(w) be the second derivative of -w**5/5 - w**4/3 + 8*w**3 - 2*w + 82. What is u in q(u) = 0?
-4, 0, 3
Let n(s) be the second derivative of 1/20*s**5 - 1/3*s**3 - 1/12*s**4 + 0 + 0*s**2 - 7*s. Factor n(h).
h*(h - 2)*(h + 1)
Let u(o) be the first derivative of -2*o**5/5 - 11*o**4 - 40*o**3/3 + 22*o**2 + 42*o + 30. Factor u(r).
-2*(r - 1)*(r + 1)**2*(r + 21)
Factor -80/17*v + 0 - 36/17*v**2 + 2/17*v**3.
2*v*(v - 20)*(v + 2)/17
Let j(l) be the second derivative of 0 - 11*l - 1/360*l**6 + 7/6*l**3 + 0*l**2 + 1/24*l**4 + 0*l**5. Let k(v) be the second derivative of j(v). Factor k(i).
-(i - 1)*(i + 1)
Let g(y) = 2*y**3 - 5*y**2 - 5*y + 5. Let l be (-28)/21*6/(-1). Let n(t) = 3 - 19*t + 10*t + l*t - t**2 - 2. Let c(x) = g(x) - 3*n(x). Factor c(m).
2*(m - 1)**2*(m + 1)
Let y(g) = -2*g**2 - 19*g - 36. Let l(q) = 3*q**2 + 39*q + 76. Let s(r) = 3*l(r) + 5*y(r). Determine v so that s(v) = 0.
-2, 24
Suppose -51 = 3*w + 51. Let c = 40 + w. Find f such that 2 - c*f - 12 + 6 + 4*f**2 = 0.
-1/2, 2
Let t be (28635/(-300))/(-23) + (-2)/(-8). Solve 2/5*s**3 + 12/5 - t*s + 8/5*s**2 = 0 for s.
-6, 1
Let r be (-206)/1030 - (-34)/20. Factor -9/2 - r*l**2 - 6*l.
-3*(l + 1)*(l + 3)/2
Suppose -5*w + 2 = -3*k + 5*k, -w + 4*k = -18. Let x(l) be the first derivative of -l**2 + w*l - 2 - 21/2*l**3. Let x(i) = 0. What is i?
-2/7, 2/9
Let k(p) = -4*p + 2. Let b be k(-3). Let a be -4*1/2 + b. What is l in -2 - 15*l**5 - 66*l**3 - 4 + 24*l**2 - 3*l + a*l + 54*l**4 = 0?
-2/5, 1
Factor -14/3*v**3 + 2/3*v**4 + 4*v**2 + 64/3*v - 64/3.
2*(v - 4)**2*(v - 1)*(v + 2)/3
Determine s so that 7 + 177*s + 75*s + 5 + 1323*s**2 = 0.
-2/21
Let q(x) = 7*x**2 - 10*x + 8. Let u be q(4). Suppose u = 5*a + 15*a. Solve 0 + 3/7*t**3 + 15/7*t**2 + 6/7*t - 15/7*t**a - 9/7*t**5 = 0.
-1, -2/3, 0, 1
Let 1/6*n**4 - 1 - 1/6*n**3 - 7/6*n**2 + 13/6*n = 0. What is n?
-3, 1, 2
Let c(x) be the first derivative of 289*x**4/24 - 34*x**3/3 + 3*x**2 + 688. Factor c(m).
m*(17*m - 6)**2/6
Let r(l) be the third derivative of -l**8/1680 - l**7/105 - l**6/20 - l**4/8 - 2*l**2. Let m(h) be the second derivative of r(h). Factor m(b).
-4*b*(b + 3)**2
Let s(z) be the first derivative of -z**3/3 - z**2 + 8*z + 97. Factor s(x).
-(x - 2)*(x + 4)
Let v(t) = t**2 + 854*t - 6025. Let f be v(7). Factor 5/4*i + 1/2 + 1/4*i**3 + i**f.
(i + 1)**2*(i + 2)/4
Let b be (-116)/(-87)*18/8. Let n(z) be the second derivative of -z**5 + 8/3*z**4 - z + 2/15*z**6 + 0 - 8/3*z**b + 0*z**2. Factor n(m).
4*m*(m - 2)**2*(m - 1)
Let s = 25 + -23. Determine i, given that s + 6*i**2 - 4*i**2 - 12 - 8*i = 0.
-1, 5
Let y = 13 - -2. Determine k, given that -12*k - 28 + y - 3*k**2 + 4 = 0.
-3, -1
Factor 3/8*x**3 - 9/2 - 3*x**2 + 57/8*x.
3*(x - 4)*(x - 3)*(x - 1)/