p in f(p) = 0?
-1, 0
Let p(g) be the first derivative of -2*g**3/5 + 3*g**2/10 + 9*g/5 + 82. Factor p(z).
-3*(z + 1)*(2*z - 3)/5
Suppose 0 = t + 3*t + 12. Let b(w) = 3*w**2 + 0*w**2 - 5*w**2 + 7*w. Let m(r) = 3*r**2 - 8*r + 1. Let y(h) = t*m(h) - 4*b(h). Solve y(c) = 0.
-3, -1
Let t(b) = -5*b**3 + 55*b - 115. Let o(p) = -3*p**2 + p + 1. Let u(v) = -5*o(v) + t(v). Determine q, given that u(q) = 0.
-3, 2, 4
Let k(a) be the first derivative of -a**4/18 - 8*a**3/3 - 21*a**2 - 60*a - 485. Factor k(w).
-2*(w + 3)**2*(w + 30)/9
Let q(b) = 18*b - 1. Let d be q(5). Let f = -87 + d. Factor 0 - 1/3*t**f + 0*t**3 + 0*t + 1/3*t**4.
t**2*(t - 1)*(t + 1)/3
Suppose j - 27 = -b + 5*b, -5*j - 5*b = -60. Suppose 4*l + 3*h - 15 = 0, -h - 5 = -j*l + 13*l. Factor -3/4*o**3 - l*o + 0 + 3*o**2.
-3*o*(o - 2)**2/4
Let a be ((-95)/15 + 7)*3 - -3. Let w(q) be the second derivative of -6*q - 1/3*q**4 - 2/3*q**3 + 0 + 1/5*q**a + 2*q**2. Find r, given that w(r) = 0.
-1, 1
Let s(v) be the third derivative of -v**7/4200 + v**6/300 - 3*v**5/200 - 7*v**3/3 + 5*v**2. Let n(y) be the first derivative of s(y). Factor n(p).
-p*(p - 3)**2/5
Suppose -5*f + 546 = l, 2*f = -0*f - 2*l + 212. Let u = f - 107. Suppose -26/7*w**2 - 8/7*w**5 + 22/7*w**4 + 4/7 + 10/7*w - 2/7*w**u = 0. What is w?
-1, -1/4, 1, 2
Let s(b) be the third derivative of b**7/45 - 37*b**6/180 - 23*b**5/45 + 25*b**4/9 - 8*b**3/3 - 522*b**2. Find r, given that s(r) = 0.
-2, 2/7, 1, 6
Suppose -4*d - 29 = 3*x - 8, 0 = -2*d - 5*x + 7. Let a be -1 + -3*3/d. Let 0*l**5 + a*l**4 - 3*l**3 - 4*l**4 + l**3 - 2*l**5 = 0. Calculate l.
-1, 0
Find r, given that 48/5*r - 32/5*r**2 + 64/5 - 12/5*r**3 + 4/5*r**4 = 0.
-2, -1, 2, 4
Let j(i) be the third derivative of 5*i**7/42 - i**6/2 - 11*i**5/12 + 5*i**4/4 + 25*i**2. Determine u so that j(u) = 0.
-1, 0, 2/5, 3
Suppose 4*u + 8 - 20 = 0. Let c(p) be the first derivative of 1/2*p**4 + 0*p**u + 0*p + 2/5*p**5 + 0*p**2 - 2. Factor c(m).
2*m**3*(m + 1)
Factor 27/2*f**4 + 0 - 3/4*f**5 - 90*f**3 - 1125/4*f + 525/2*f**2.
-3*f*(f - 5)**3*(f - 3)/4
Factor -2*d + 0 - 1/3*d**4 - 2*d**3 - 11/3*d**2.
-d*(d + 1)*(d + 2)*(d + 3)/3
Suppose 0 = -3*z + 61 - 61. Let i(n) be the first derivative of 8/15*n**3 - 6 + 2/5*n**4 + z*n + 0*n**2 - 1/15*n**6 - 2/25*n**5. Find x, given that i(x) = 0.
-2, -1, 0, 2
Factor 295*z**2 - 5*z**3 - 319*z**2 - 5*z**3.
-2*z**2*(5*z + 12)
Suppose 21*h - 13*h = 0. Let r(k) = -k**3 + 4. Let s be r(h). Factor -4/5*u**2 + 0 + 2/5*u**3 + 0*u + 2/5*u**s.
2*u**2*(u - 1)*(u + 2)/5
Let j = 1350/7 + -14822/77. Let i = -2253/11 - -205. Factor 4/11*t**2 - j*t**4 + 0 - 2/11*t**5 + i*t + 0*t**3.
-2*t*(t - 1)*(t + 1)**3/11
Suppose -32*n = -35*n + 45. Let z be (-50)/(-12) + n/(-10). Factor -95/3*k**3 + 38*k**2 + 25/3*k**4 + z - 52/3*k.
(k - 2)*(k - 1)*(5*k - 2)**2/3
Suppose 3*v + 5*q = -2 - 2, -4*q = 8. Factor 14*k + 10*k - 6*k + 2*k**3 - 12*k**v.
2*k*(k - 3)**2
Let f(c) = 38*c - 40. Let u be f(5). Let l = -145 + u. Determine p, given that -8/11*p**2 + 6/11 + 12/11*p**3 - 8/11*p + 2/11*p**4 - 4/11*p**l = 0.
-3/2, -1, 1
Let h be 1 + -1 - 136/(-119)*7. Let j(v) be the second derivative of 0 - h*v**2 - 5*v - 5/3*v**4 + 8*v**3. Factor j(m).
-4*(m - 2)*(5*m - 2)
Let d = 234 + -232. Find l, given that -2/9*l + 2/9*l**3 - 2/9 + 2/9*l**d = 0.
-1, 1
Find a, given that 0 + 6*a**4 + 2/7*a**5 + 12*a - 122/7*a**2 - 6/7*a**3 = 0.
-21, -2, 0, 1
Let g(h) = -164*h + 2. Let a be g(0). Determine t so that -2*t**a - 6/11*t**3 - 24/11*t - 8/11 = 0.
-2, -1, -2/3
Let z(t) be the second derivative of -1/273*t**7 + 2/195*t**6 - 12*t + 0*t**5 + 0 - 1/39*t**4 + 0*t**2 + 1/39*t**3. Factor z(w).
-2*w*(w - 1)**3*(w + 1)/13
Let l be 2 + (2 - (-4 + -4)). Let -36*d**2 - 140*d**3 + 148*d**3 - 4*d - l*d - 4*d = 0. Calculate d.
-1/2, 0, 5
Factor -2/3*t + 4/9*t**2 - 2/3*t**4 + 2/9 + 4/9*t**3 + 2/9*t**5.
2*(t - 1)**4*(t + 1)/9
Suppose -181*z = -224*z + 129. Factor 0*v + 0 + 6/5*v**z - 4/5*v**2 - 2/5*v**4.
-2*v**2*(v - 2)*(v - 1)/5
Let g = 39 - 40. Let t(k) = -k + 1. Let p be t(g). Let 3/4*i**p + 27/4 - 9/2*i = 0. Calculate i.
3
Let g(a) be the second derivative of 45*a - 2*a**3 - 1/42*a**7 - 4/15*a**6 + 0*a**2 + 2 - 23/20*a**5 - 7/3*a**4. Suppose g(c) = 0. What is c?
-3, -2, -1, 0
Let k be 7 + ((-8)/(-2) - 8). Factor -1/3*h**3 - k*h + 2*h**2 + 0.
-h*(h - 3)**2/3
Let o(p) be the third derivative of 2/33*p**3 - 6*p**2 + 0 - 5/132*p**4 + 2/165*p**5 - 1/660*p**6 + 0*p. Solve o(v) = 0.
1, 2
Solve 0*s**3 + 18/5 + 12/5*s**4 + 3/5*s - 6*s**2 - 3/5*s**5 = 0 for s.
-1, 1, 2, 3
Let q be 161/42 + (-76)/8 + 8. Determine b so that -8/3*b + 0 + q*b**4 + 26/3*b**3 + 20/3*b**2 = 0.
-2, 0, 2/7
Suppose 2 + 16*b**4 - 4*b**5 - 2 + 63*b**3 + 8*b**2 - 83*b**3 = 0. Calculate b.
0, 1, 2
Suppose -3*r + 1 = -11. Suppose -5*q - r = -6*q. Factor a - q*a - 4*a**2 + 4*a**2 - 3*a**2.
-3*a*(a + 1)
Let x be -10*(-4)/((-16)/(-38)). Let g be 2/(-5) + 57/x. Let 0 + 0*d + g*d**3 - 1/5*d**2 = 0. What is d?
0, 1
Let l = -12099 - -36298/3. Factor -5/3*x**2 + 1/3*x**4 - x - l*x**3 + 0.
x*(x - 3)*(x + 1)**2/3
Factor 40/3 - 52/3*u**2 - 52/3*u - 8/3*u**3.
-4*(u + 2)*(u + 5)*(2*u - 1)/3
Let v = 20316/7 - 2916. Let w = 302/21 + v. Suppose 2/3*z**3 + 0 - w*z + 0*z**2 = 0. Calculate z.
-1, 0, 1
Let t(m) be the second derivative of -35*m**4/36 + 5*m**3/18 + 2*m - 2. Factor t(c).
-5*c*(7*c - 1)/3
Factor -44/3*z + 46/3 - 2/3*z**2.
-2*(z - 1)*(z + 23)/3
Let r = 476 - 473. Let a(g) be the third derivative of -g**2 + 0 + 0*g + 1/6*g**4 + 0*g**r - 2/15*g**5 + 1/30*g**6. Let a(h) = 0. Calculate h.
0, 1
Let o = 5/9 - 49/90. Let p(g) be the third derivative of -1/18*g**4 + 1/180*g**6 + 0 + 0*g**3 + 0*g - g**2 + o*g**5. What is s in p(s) = 0?
-2, 0, 1
Let h(f) be the second derivative of -5*f**7/42 - 4*f**6 - 225*f**5/4 - 855*f**4/2 - 1890*f**3 - 4860*f**2 + 186*f. Factor h(a).
-5*(a + 3)**2*(a + 6)**3
Factor 232*g**2 - 362*g**2 - 70*g**3 - 21 + 5*g**5 + 5*g**4 - 10*g**4 - 4 - 95*g.
5*(g - 5)*(g + 1)**4
Let r(p) = p**4 - p**2 + p. Let l(c) = -31*c**2 + 15*c + 22*c**3 + 3*c - 4 + 0*c + 3*c**4 - 10*c**4. Let s(i) = l(i) + 2*r(i). What is k in s(k) = 0?
2/5, 1, 2
Suppose -2*x = -4*r + 44, -2*r - r = -5*x - 82. Let w(s) = s + 17. Let a be w(x). Factor -2/3*j**a - 2/3 + 2/3*j**2 + 2/3*j.
-2*(j - 1)**2*(j + 1)/3
Let s(l) = l**4 + 30*l**3 - 5*l**2 - 26*l. Let b(w) = -w**3 - w**2 + 2*w. Let f(q) = -4*b(q) + s(q). Factor f(x).
x*(x - 1)*(x + 1)*(x + 34)
Let f = -22445 + 157119/7. Suppose 100/7 + f*s**2 + 40/7*s = 0. What is s?
-5
Factor -1/4*k**3 - 1/2*k**2 + 3/8 + 1/4*k + 1/8*k**4.
(k - 3)*(k - 1)*(k + 1)**2/8
Let m = -2412 + 2415. Factor 1/8*y**2 + 0*y + 0 + 1/8*y**m.
y**2*(y + 1)/8
Let g = -1/4261 - -106528/12783. Factor 5/3*t**2 + 10 + g*t.
5*(t + 2)*(t + 3)/3
Suppose -3*d - 2 = 23*y - 27*y, 3*d - 6 = 0. Let j(k) be the first derivative of -8/5*k - 7/10*k**4 + 16/5*k**y - 4 - 2/3*k**3. Factor j(p).
-2*(p - 1)*(p + 2)*(7*p - 2)/5
Let s be ((-2)/(-3))/((-7)/(-21)). Let r be 2/(-7) + (930/63)/5. Factor 7/3*z**3 + r*z**s - 5/3*z**4 - 4/3*z + 0.
-z*(z - 2)*(z + 1)*(5*z - 2)/3
Let h(o) be the third derivative of o**5/180 - 31*o**4/24 + 46*o**3/9 - 2*o**2 - 18*o. Solve h(d) = 0.
1, 92
Suppose -3*i + 66 + 78 = 0. Factor 25*b**2 - i*b**2 + 29*b**2 - 3*b**3 - 3*b**4.
-3*b**2*(b - 1)*(b + 2)
Let v(l) be the second derivative of 2*l**7/21 - 19*l**6/30 - l**5/4 - 28*l - 2. Let v(h) = 0. Calculate h.
-1/4, 0, 5
Let f be (-1 + -1)/((-3 + -1)/4). Factor 44*n + 4*n**2 + 8 + 16 - 20*n**3 - 52*n**f.
-4*(n - 1)*(n + 3)*(5*n + 2)
Suppose -28*v = x - 22*v - 33, -x - 7 = -2*v. Find o such that -13/4*o - 3/4 - 7/4*o**2 + 17/4*o**x + 3/2*o**4 = 0.
-3, -1/2, -1/3, 1
Let x be (-4)/(-96)*-4*-4. Let v(f) be the first derivative of 3 + x*f**3 + 4*f + 3*f**2. Factor v(h).
2*(h + 1)*(h + 2)
Suppose 222*x - 126 = 201*x. Solve 3/2*y**4 + 9/2*y + x - 9/2*y**3 - 15/2*y**2 = 0 for y.
-1, 1, 4
Let j(b) be the first derivative of -3*b**4 - 1/6*b**6 + b - 5/2*b**2 - b**5 + 5 - 4*b**3. Let p(l) = -l**3 - l**2 + 1. Let k(w) = 2*j(w) - 4*p(w). Factor k(s).
-2*(s + 1)**5
Let u(k) be the third derivative of -k**8/1008 + k**7/315 + 7*k**6/360 + k**5/45 - k**2 + 32*k. Factor u(g).
-g**2*(g - 4)*(g + 1)**2/3
Let y = -41 - -50. Suppose r + 2*r = y*r. Factor r*p + 0 - 2/3*p**2.
-2*p**2/3
Determine d, given that 14/9*d + 19/9*d**2 + 0 - 5