- 70*m**2 - m - 13. Suppose z(p) = 0. Calculate p.
-16/3, -3, -1
Let w be 18/(-27)*3*6/(-4). Factor -5 - 15 - 8*q + 5*q**2 + 15*q**w + 10 + 5*q**4 - 7*q.
5*(q - 1)*(q + 1)**2*(q + 2)
Let m = 2199 + -24188/11. Let z(s) be the first derivative of -1/33*s**6 + 7/11*s**2 + 16/33*s**3 + m*s**4 - 4/55*s**5 + 4/11*s + 15. Factor z(r).
-2*(r - 2)*(r + 1)**4/11
Let n(w) be the third derivative of w**7/4200 - w**6/900 + w**5/600 - 11*w**3 - 49*w**2. Let r(c) be the first derivative of n(c). Factor r(l).
l*(l - 1)**2/5
Determine z so that -41/2*z - 1681/4 - 1/4*z**2 = 0.
-41
Let w be (-147)/273*(3 + (-19)/2). Factor -w*t - 2 - t**2 + 1/2*t**3.
(t - 4)*(t + 1)**2/2
Let z(s) be the first derivative of s**4/3 + 2060*s**3/9 - 2*s**2/3 - 2060*s/3 + 264. Solve z(l) = 0 for l.
-515, -1, 1
Let 999*m**2 + 231*m**3 + 234 - 979 - 13*m**4 + 840*m + 469 + m**4 = 0. What is m?
-2, 1/4, 23
Let h be -10 + (3/(-2))/(6/(-20)). Let i be (-3 + (0 - -3))/(10/h). What is y in -1/2*y**5 + 32*y**2 + 6*y**4 + 0 - 24*y**3 + i*y = 0?
0, 4
Let -8/9*d - 4/9*d**3 + 14/9*d**2 - 2/9*d**4 + 0 = 0. What is d?
-4, 0, 1
Suppose 0 = 3472*b - 3480*b + 75072. Let o be (-1)/6 + 2668/b. Factor 10/17*l - 14/17*l**2 + 6/17*l**3 - o.
2*(l - 1)**2*(3*l - 1)/17
Let u(g) be the first derivative of 2*g**6/3 - 32*g**5/5 + 17*g**4 - 40*g**3/3 + 879. Suppose u(c) = 0. Calculate c.
0, 1, 2, 5
Let d be 29*-1 - (-34)/(-17). Let f = d - -34. Factor 27*x**2 + 1 + f - 15*x**2 + 6*x - 10*x**2.
2*(x + 1)*(x + 2)
Solve 18*l**2 + 2*l**2 + 3055 + 5*l + 10*l - 3060 = 0.
-1, 1/4
Let b be ((-32)/(-40)*-2)/(21/(-20)). Let h = b + -76/105. Factor h*y**5 - 6/5*y**4 + 0*y + 0*y**3 + 2/5*y**2 + 0.
2*y**2*(y - 1)**2*(2*y + 1)/5
Factor -8*a**2 + 251*a**2 + 926*a + 22*a**2 + 2 + 4 + 43*a**2.
2*(a + 3)*(154*a + 1)
Let t(p) = -3*p**3 - 9*p**2 - 14*p + 34. Let m(v) = -38*v**3 - 109*v**2 - 175*v + 407. Let f(g) = 2*m(g) - 25*t(g). Factor f(d).
-(d - 6)*(d - 3)*(d + 2)
Let f(o) be the first derivative of 0*o + 95 - 75/4*o**2 - 5*o**3 - 3/8*o**4. Solve f(r) = 0.
-5, 0
Let j(r) be the second derivative of -16*r**7/189 + 8*r**6/135 + 47*r**5/90 - 28*r**4/27 + 19*r**3/27 - 2*r**2/9 - 1527*r. Solve j(s) = 0 for s.
-2, 1/4, 1
Let f = -212 - -167. Let z be -2*3*6/f. Find h, given that 2/5*h**3 - 6/5*h + 0 - z*h**2 = 0.
-1, 0, 3
Let y(v) = v**3 + 2*v**2 + 3*v + 1. Let r be y(0). Factor 5*h + 9 + r - 3 + 7 - h**2.
-(h - 7)*(h + 2)
Let s = 21713/48852 - 1/48852. Factor 4/9*u**2 - 4/9*u - s*u**4 + 4/9*u**3 + 0.
-4*u*(u - 1)**2*(u + 1)/9
Let n be ((-1)/(-27) - (-52 + 166687/3348)) + (-42)/(-8). Suppose -3/2*b**4 + 6 - 9/2*b**2 + 15/2*b**3 - n*b = 0. What is b?
-1, 1, 4
Suppose -4*l + 2*d = -10, -4*l - 3*d + 11679 = 11654. Let 0 - 32/9*n**2 - 1058/9*n**l - 368/9*n**3 + 0*n = 0. Calculate n.
-4/23, 0
Let x(d) = -3*d**2 + d + 6. Let t(r) = -18*r**2 + 152*r - 1554. Let q(n) = -t(n) + 5*x(n). Solve q(w) = 0 for w.
16, 33
Factor -i**4 + 6434*i**2 - 90*i + 405 + 90*i**3 - 4*i**4 - 6834*i**2.
-5*(i - 9)**2*(i - 1)*(i + 1)
Suppose 0*d = -14*d + 70. Factor l**d + 2165*l**4 - 2162*l**4 - 3*l**2 - l**2.
l**2*(l - 1)*(l + 2)**2
Let u be (-4)/(-18) - ((-962)/(-117) + -8). Let h be 14/(-3)*30/(-35) - u. Solve -33/7*b**2 - 10/7*b**3 - 1/7*b**h - 16/7 - 40/7*b = 0.
-4, -1
Let x(z) = z**2 - z. Let h(b) = 2*b**2 + 5*b. Let p(c) = 10*c + 62. Let u be p(-6). Let k(q) = u*h(q) - 6*x(q). Factor k(i).
-2*i*(i - 8)
Let j(n) = -n**3 - 205*n**2 + 3*n + 206. Let h(p) = p**3 + p**2 + p. Let z(b) = -h(b) + j(b). Suppose z(g) = 0. Calculate g.
-103, -1, 1
Factor 577*f - 30911 + 117*f - 136*f + 30215 + 1060*f + 14*f**2.
2*(f + 116)*(7*f - 3)
Let z = 632 + -655. Let l(r) = 15*r + 345. Let m be l(z). Solve 4/7*p**5 - 4/7*p**2 + 10/7*p**4 + 0 + m*p + 2/7*p**3 = 0.
-2, -1, 0, 1/2
Let s(m) be the first derivative of -m**6/10 + m**4/4 - 89*m - 41. Let p(w) be the first derivative of s(w). Factor p(o).
-3*o**2*(o - 1)*(o + 1)
Let l(m) = 2*m + 13. Let k(u) = u + 4. Let c(g) = 7*k(g) - 2*l(g). Let j be c(0). Factor -16*w**2 + w + 0*w + 15*w**j.
-w*(w - 1)
Suppose 0 = -25*s - 47 + 97. Let q(g) be the first derivative of 14 + 1/3*g**3 + 5*g - 3*g**s. Find k, given that q(k) = 0.
1, 5
Let x(d) = 2*d**2 + d. Let j(p) = -3*p**2 - 26 + 9*p + 17*p**2 - p**3 + 26. Let l(q) = 2*j(q) - 18*x(q). Let l(a) = 0. Calculate a.
-4, 0
Let s(h) = -7*h**2 - 142*h - 15. Let z(t) = -8*t**2 - 142*t - 18. Let d(q) = -6*s(q) + 5*z(q). Factor d(b).
2*b*(b + 71)
Suppose -5*u + 29*u + 36 = 84. Let l(m) be the second derivative of 0 - 37*m + 1/6*m**3 + 0*m**5 - 1/60*m**6 + 1/8*m**4 + 0*m**u. Factor l(s).
-s*(s - 2)*(s + 1)**2/2
Suppose -74/15*c - 52/5 - 2/15*c**3 + 16/3*c**2 = 0. Calculate c.
-1, 2, 39
Let f(c) be the third derivative of -c**6/480 - 481*c**5/60 - 231361*c**4/24 + 29*c**2 - c + 5. Solve f(r) = 0 for r.
-962, 0
Factor -1211*i - 18*i**2 + 363*i + 257*i + 99.
-3*(i + 33)*(6*i - 1)
Factor 22/3 + 21/2*q**2 + 1/6*q**4 + 8/3*q**3 + 46/3*q.
(q + 1)*(q + 2)**2*(q + 11)/6
Suppose 2*u + 10 = 4*s, 4*s - 19*u = -16*u + 7. Let a(d) be the first derivative of 1/15*d**5 - 1/6*d**s + 1/3*d**2 + 21 + 0*d**3 - 1/3*d. Factor a(t).
(t - 1)**3*(t + 1)/3
Factor 5/2 + 11/4*p + 1/4*p**2.
(p + 1)*(p + 10)/4
Suppose 0 = -5*n + 20, 0 = -4*r - 0*r - 4*n - 264. Let s be (-12)/(-56) - 20/r. Factor -4*u**3 - 11/4*u**2 + 0 - s*u - 7/4*u**4.
-u*(u + 1)**2*(7*u + 2)/4
Let s = -20/73 + 644/219. Let n be -11 + 3197/207 - (-1 + 5). Factor -n*h**2 + s + 4/9*h.
-4*(h - 3)*(h + 2)/9
Let p(i) be the second derivative of -1/130*i**5 - 1/195*i**6 + 0 + 0*i**2 + 1/39*i**3 + 52*i + 1/78*i**4. Factor p(n).
-2*n*(n - 1)*(n + 1)**2/13
Let 0*o + 2/7*o**4 + 0 - 412/7*o**2 - 410/7*o**3 = 0. What is o?
-1, 0, 206
Let i(g) be the first derivative of 4*g**5/5 - 42*g**4 - 4*g**3/3 + 84*g**2 + 73. What is m in i(m) = 0?
-1, 0, 1, 42
Let y(n) be the first derivative of -5*n**4/16 + 15*n**3/4 - 5*n**2 + 628. What is g in y(g) = 0?
0, 1, 8
Let m be 8/(-32) + 1771743/2604. Solve -m*p + 36501/7 - 3/7*p**3 + 207/7*p**2 = 0 for p.
23
Suppose -y + l + 151 = 147, 0 = 5*y + 4*l - 2. Factor 4/5*x + 6/5 - 2/5*x**y.
-2*(x - 3)*(x + 1)/5
Let h(x) be the second derivative of -x**4/36 - 127*x**3/18 - 296*x. Determine w, given that h(w) = 0.
-127, 0
Suppose -2*v**5 - 5092611 + 1268*v**3 - 618*v**3 - 11508589 + 136*v**4 + 1364*v**3 - 130228*v**2 - 2953720*v = 0. Calculate v.
-14, 55
Let p(x) be the first derivative of -x**5/30 + x**4/6 - 27*x**2 + 37. Let s(d) be the second derivative of p(d). Factor s(m).
-2*m*(m - 2)
Suppose 34*d - 14 = 27*d. Determine r, given that -87*r - 4*r + 0*r**2 + 1352 - r**d + 3*r**2 - 13*r = 0.
26
Let m(h) be the first derivative of 2*h**3/21 + 292*h**2/7 + 42632*h/7 + 1416. Let m(j) = 0. Calculate j.
-146
Let z(t) be the first derivative of t**4/24 - 3*t**3/2 + 47*t**2/12 + 25*t/2 + 8553. Find q, given that z(q) = 0.
-1, 3, 25
Factor -5*m**4 - 154258 + 2*m**3 - 80*m + 154338 + 18*m**3.
-5*(m - 2)**3*(m + 2)
Let v(m) be the second derivative of 15552*m**5/25 - 72*m**4/5 + m**3/10 - 4055*m. Factor v(x).
3*x*(144*x - 1)**2/5
Suppose 0 = -5*n - c + 6*c - 10, 4*c - 12 = 0. Suppose n = -2*q + 3*q, -8 = -d - 5*q. Factor 301*y - 8*y**d + 23*y**3 - 5 + 25*y**2 - 296*y.
5*(y + 1)**2*(3*y - 1)
Let d = 386381/2360628 + -21/11404. Let n = d - -13/46. Factor n + 4/3*r**2 + 26/9*r.
2*(r + 2)*(6*r + 1)/9
Suppose 0 = 12*o - 56*o + 9*o + 24*o. Let 4/5*t**3 + 8/5*t - 18/5*t**2 + o = 0. Calculate t.
0, 1/2, 4
Let a = -18/7225 + 5834/21675. Solve -a*r**3 + 2/5*r**4 + 0 + 0*r**2 + 0*r = 0 for r.
0, 2/3
Suppose 26*a - 65 - 49 = -36. Factor 1/2*h**a + 13/2*h + 3 + 4*h**2.
(h + 1)**2*(h + 6)/2
Let v(x) be the first derivative of -x**6/51 - 4744*x**5/85 - 1877041*x**4/34 - 993571940*x**3/51 - 987950300*x**2/17 - 986078000*x/17 + 795. Factor v(t).
-2*(t + 1)**2*(t + 790)**3/17
Let s(p) = 56*p - 3*p**3 + 57*p + 2*p**2 - 94*p - 13 - p**2. Let j(a) = -6*a**3 + 3*a**2 + 39*a - 27. Let o(h) = 4*j(h) - 9*s(h). Solve o(u) = 0.
-3, 1
Let w = 3/34474 + 103401/241318. Suppose -5*b = -2*b - 9. Factor -3/7*h**4 + 0 + 1/7*h**b + 1/7*h**5 - 2/7*h + w*h**2.
h*(h - 2)*(h - 1)**2*(h + 1)/7
Let j = -10/671 + 2171/100650. Let h(f) be the third derivative of 0*f**3 + 0*f - 1/1050*f**7 - j*f**6 - 11*f**2 - 1/60*f**5 - 1/60*f**4 + 0. Factor h(k).
-k*(k + 1)**2*(k + 2)/5
Let h(y) = -