= 0.
-49, 1, 2
Let v(a) be the second derivative of -a**7/14 - a**6/5 + 9*a**5/20 + 2*a + 280. Factor v(p).
-3*p**3*(p - 1)*(p + 3)
Determine t so that 14/9*t**5 - 16/3 - 80/9*t**4 + 34/3*t**3 - 152/9*t + 92/9*t**2 = 0.
-1, -2/7, 2, 3
Let i(l) = 3*l**2 - 302*l - 1918. Let w be i(-6). Solve 5/6*m - 1/6*m**w - 1 = 0 for m.
2, 3
Let g be 4*6*2/4 - 0. Let i(f) = f**2 - f + 2. Let s(z) = 14*z**2 - 92*z - 10. Let n(w) = g*i(w) - 2*s(w). Solve n(a) = 0 for a.
-1/4, 11
Let u(v) be the third derivative of v**8/1848 - 3*v**7/385 - v**6/660 + 39*v**5/110 - 36*v**3/11 + 652*v**2. Suppose u(c) = 0. Calculate c.
-3, -1, 1, 6
Suppose -l + 616 = -5*j, 3*l + 7*j - 10*j = 1812. Let p = l - 5405/9. Solve 2/9*k**3 + 0 - p*k**2 + 2/9*k = 0 for k.
0, 1
Let 25/4*r**3 + 0 - 20*r**2 + 15/4*r = 0. Calculate r.
0, 1/5, 3
Let n(c) be the second derivative of 152*c + 0*c**2 + 3/70*c**5 - 1/105*c**6 - 1/147*c**7 + 1/42*c**4 + 0 - 2/21*c**3. Let n(p) = 0. What is p?
-2, -1, 0, 1
Let h(p) be the third derivative of -1/60*p**5 + 13/12*p**4 - 2*p**2 - 169/6*p**3 + 0 + 27*p. Solve h(a) = 0.
13
Let x(l) be the second derivative of -169*l**6/90 - 65*l**5/2 - 6925*l**4/36 - 1250*l**3/3 - 1250*l**2/3 - 34*l - 1. Let x(s) = 0. What is s?
-5, -10/13
Let q = 367855/126 - 18235/18. Let b = -1899 + q. Find l such that 4/7 + 72/7*l**2 + 88/7*l**3 + b*l**4 + 4*l + 12/7*l**5 = 0.
-1, -1/3
Let v(k) be the third derivative of k**6/60 - 49*k**5/6 + 3782*k**4/3 - 14884*k**3/3 - 6*k**2 + 17. Factor v(f).
2*(f - 122)**2*(f - 1)
Let y(f) = -5*f**3 - 27*f**2 + 27*f + 56. Let t be y(-6). Factor -1/10*b**t + 1/10*b**4 - 1/10*b**5 + 1/10*b**3 + 0 + 0*b.
-b**2*(b - 1)**2*(b + 1)/10
Let j(d) be the first derivative of 0*d + 109 + 5/4*d**4 + 10*d**2 + 25/3*d**3. Factor j(l).
5*l*(l + 1)*(l + 4)
Let i be (-104)/169*(4264/144)/(-41). Factor i*h**4 - 8/3*h**3 - 10/9*h + 0 + 28/9*h**2 + 2/9*h**5.
2*h*(h - 1)**3*(h + 5)/9
Let r be 288/27*-3*-2. Suppose -50*k + r*k = 42. Find u such that 4/3*u**2 + 4/3*u + 1/3*u**k + 0 = 0.
-2, 0
Let r = 71 - 69. What is o in 7*o**3 - 3*o - 4*o**3 - 3*o**r - o + 4 - o**4 + o**3 = 0?
-1, 1, 2
Suppose -15*h**3 - 2 - 76808*h**5 + 130*h**2 + 2 + 76813*h**5 - 76*h - 4*h - 40*h**4 = 0. What is h?
-2, 0, 1, 8
Suppose -10*l - l = 0. Suppose l = -4*c - 7*c + 10*c. Factor c - 1/8*q**3 + 1/4*q**2 + 0*q.
-q**2*(q - 2)/8
Suppose -3*o = 2*i + 2, 2*o = -0*i + 5*i - 14. Factor 879*m**i + m + 0*m - 880*m**2 + 0*m.
-m*(m - 1)
Let q be (-195)/(-21) - 250/(-1250)*20/(-14). Suppose 56/3*n**2 + 2/3 - 31/3*n - q*n**3 = 0. Calculate n.
2/27, 1
Let t(h) be the third derivative of -121*h**7/70 + 737*h**6/20 - 4621*h**5/20 + 201*h**4/2 - 18*h**3 + 135*h**2. Factor t(p).
-3*(p - 6)**2*(11*p - 1)**2
Let h = -398537/7 + 56935. What is j in -6/7*j**2 + 2/7*j**4 + 4/7*j**3 + h - 8/7*j = 0?
-2, 1
Suppose 5*r + r - 282 = 0. Factor -1452 - 3*d**2 - 53*d - r*d - 63*d + 31*d.
-3*(d + 22)**2
Suppose -907 - 803 = -2*k. Factor -576 - 57*q**2 + 827*q + k*q + 3*q**3 - 1346*q.
3*(q - 8)**2*(q - 3)
Let u be (3/(-3))/((-2)/10). Let a = 123 + -120. Factor -3*c**3 - 4*c**3 + c**4 + 4*c**u - 4*c**2 + a*c**4 + 3*c**3.
4*c**2*(c - 1)*(c + 1)**2
Let -19 - 12 + 5*v**4 + 109*v + 26*v - 145*v**2 - 135*v**3 + 171 = 0. Calculate v.
-1, 1, 28
Let n be 29 + (-10412)/380 - 284/(-85). What is u in -2/17*u**3 - 5488/17 - 1176/17*u - n*u**2 = 0?
-14
Let h(s) be the third derivative of 3*s**8/112 + 4*s**7/15 - 41*s**6/40 + 7*s**5/10 + 2*s**4/3 + 795*s**2. Factor h(l).
l*(l - 1)**2*(l + 8)*(9*l + 2)
Let m(b) = -14*b**2 + 26*b + 8. Let c(a) = -3*a**2 - 6*a**2 - 18*a + 2 - 5 + 18*a**2 - 2. Let d(f) = 8*c(f) + 5*m(f). Solve d(o) = 0 for o.
0, 7
Factor -33/8*y**2 - 6 + 39/4*y + 3/8*y**3.
3*(y - 8)*(y - 2)*(y - 1)/8
Let y be (-6)/((-9)/(-3)) + (-780)/(-360). Let j = -1/155 + 158/465. Suppose 1/6*z**3 - y*z - 1/3 + j*z**2 = 0. Calculate z.
-2, -1, 1
Let u(p) be the first derivative of 5*p**4/22 + 58*p**3/33 + 24*p**2/11 + 4181. Factor u(x).
2*x*(x + 1)*(5*x + 24)/11
Let t(z) be the first derivative of 1/3*z**2 + 4/3*z**4 + 11/9*z**3 + 7/15*z**5 + 0*z + 1. Let t(n) = 0. What is n?
-1, -2/7, 0
Factor 249*b**4 + 19*b**2 - 8*b**3 - b**2 - 512*b**4 - 9*b**3 + 262*b**4.
-b**2*(b - 1)*(b + 18)
Let u = -11845 + 11850. Let y(a) be the first derivative of -1/12*a**2 + 5/24*a**4 - 1/10*a**5 - 1/18*a**3 + 0*a - u. Factor y(g).
-g*(g - 1)**2*(3*g + 1)/6
Suppose 5*r = h + 461, -3 = -4*h - 7. Determine w, given that -5*w**4 - 3*w**4 + 0*w**4 - 92*w**2 - 116*w + 16 - 6*w**4 + r*w - 66*w**3 = 0.
-2, -1, 2/7
Let a be (56940/2040 + -28)*((-21)/9 + 1). Factor a*u**2 + 0 - 30/17*u.
2*u*(u - 15)/17
Let r = 90 - 53. Suppose -8*d + r = 13. Factor 7 - 10*t**d + 40*t + 13 + 237*t**2 - 222*t**2 - 5*t**4.
-5*(t - 2)*(t + 1)**2*(t + 2)
Let m be (1 + 9)/(8/64). Let -1 - m*s**2 - 2*s + 81*s**2 + 2 = 0. What is s?
1
Let f(o) be the second derivative of -o**6/120 - 3*o**5/10 - 27*o**4/8 + 11*o**2/2 - 47*o - 1. Let k(p) be the first derivative of f(p). Solve k(z) = 0.
-9, 0
Determine c so that 256*c + 85 + 270*c**2 + 197 + 234 - 271*c**2 = 0.
-2, 258
Let x(t) be the first derivative of 15 + 9/14*t**4 - 13/7*t**3 + 18/7*t**2 - 3/35*t**5 - 12/7*t. Factor x(i).
-3*(i - 2)**2*(i - 1)**2/7
Let z = 30 - 30. Suppose z = -9*j + 5*j + 228. Let j + i**2 - 57 - i**4 = 0. Calculate i.
-1, 0, 1
Suppose -g = 3*l - 3, 3*g - 5*l = 4 + 5. Suppose 0*k - 3 = -3*t + k, 2*t = k + g. Solve 0*b**3 + 0*b**2 - 2/5*b**4 + 0 + t*b = 0.
0
Let j be ((-20)/(-30))/((-4)/(-5)*30/12). Factor -4/3*w - 4/3 - j*w**2.
-(w + 2)**2/3
Let l(a) = a**2 - 451*a - 906. Let g be l(-2). Factor 3/5*n**3 - 12/5*n**2 + g + 12/5*n.
3*n*(n - 2)**2/5
Suppose 5*q = 3*v + 22, 6 = 13*q - 12*q + v. Find b, given that 21*b**5 + 4*b**2 - 73*b**5 + 38*b - 40*b**3 + 26*b**q - 20 + 16*b**4 + 28*b**5 = 0.
-10, -1, 1
Let c be (82 + -92)/(1/22)*(-16)/104. Factor -44/13*v**4 - 2/13*v**5 - 282/13*v**3 + 0 - 200/13*v - c*v**2.
-2*v*(v + 1)**2*(v + 10)**2/13
Find s such that -269*s**3 - 57*s**3 + 9059 + 1192*s**2 - 8771 - 1173*s - 10*s**4 + 29*s = 0.
-36, 2/5, 1, 2
Let u(s) be the first derivative of s**3/12 - 41*s**2/2 + 163*s/4 - 5259. Find b such that u(b) = 0.
1, 163
Let c be 4*7/14*11/2. Suppose -5*x + 19 = 2*v, -2*v = -5*x - 0*v + c. Factor 0 - 3/4*l**4 - 3/4*l + 3/4*l**x + 3/4*l**2.
-3*l*(l - 1)**2*(l + 1)/4
Let b = -119953/5 - -23991. Solve 642/5*t**2 - 304*t + b*t**4 + 76/5*t**3 + 160 = 0 for t.
-20, 1
Let d be 56/(-21)*(-54)/8 + -2. Let 84*x - 507 + 10*x**2 - d - 13*x**2 - 65 = 0. Calculate x.
14
Let m be (632/(-624) + 1)/(2/(-20)*1). Let r(i) be the second derivative of -13*i - m*i**3 + 4/13*i**2 + 0 + 1/78*i**4. Let r(a) = 0. Calculate a.
1, 4
Let c be -10 + ((20600/(-16))/(-103))/(10/12). Let 14/19*o + 20/19*o**4 + 48/19*o**3 + 44/19*o**2 + 0 + 2/19*o**c = 0. What is o?
-7, -1, 0
Suppose 3*i - y = -12, 0 = -i - 10*y + 9*y. Let j = 25 + i. What is n in j - 652*n**3 + 38 + 300*n**4 + 288*n + 4 - 36*n**5 + 36*n**2 = 0?
-1/3, 1, 4
Solve 146*s - 38*s**2 - 197*s**2 + 1926*s**3 - 216*s**5 - 664*s**2 + 1774 - 324*s**4 + 1766 - 3548 = 0.
-4, 1/6, 2
Let -33 + 14*r**3 - 25*r**3 + 27*r + 14*r**3 - 21 + 24*r**2 = 0. What is r?
-6, -3, 1
Let u be ((-24)/21)/(7/(-49)) - 5. Let x(y) be the third derivative of -13/24*y**5 + 55/48*y**4 - 10*y**2 + 5/6*y**u + 0*y + 0. Let x(o) = 0. What is o?
-2/13, 1
Let q(a) = 7*a + 37. Let c be q(-5). Let -25*o + o**3 + 10 - c*o**3 - o**3 - 3*o**3 + 20*o**2 = 0. What is o?
1, 2
Let a(k) be the first derivative of 196/15*k + 298/45*k**3 + 21/10*k**4 + 28 + 2/15*k**5 - 21*k**2. What is u in a(u) = 0?
-7, 2/5, 1
Find n such that -93 - 136 + 93*n**2 - 714*n - 3*n**3 + 229 = 0.
0, 14, 17
Suppose 2*f - 19*z + 11 = -14*z, -3*f + 2*z = 0. Factor d**4 + 12*d - 2*d**2 + 3*d**3 + 4*d**f - 11*d**2 - 7*d**2.
d*(d - 2)*(d - 1)*(d + 6)
Let p(t) = -5*t**3 + 2*t**2 + 10*t. Let w be 5 - (5 + 10) - -4. Let o(v) = -18*v**3 + 9*v**2 + 39*v + 1. Let a(s) = w*o(s) + 22*p(s). Let a(j) = 0. What is j?
-3, -1
Factor 0*r - 1/6*r**4 + 1/2*r**2 + 0 + 1/3*r**3.
-r**2*(r - 3)*(r + 1)/6
Suppose 3*g - 5*o - 19 = 6*g, -8 = g + 2*o. Determine k so that -41*k**g - 15*k**2 + 15*k + 12 + 59*k**2 = 0.
-4, -1
Factor 76*v**5 - 1080*v**4 + 24*v**3 - 990*v**4 + 3197*v**4 - 1027*v**4.
4*v**3*(v + 1)*(19*v + 6)
Let n(d) be the third derivative of d**7/3