 - 1/100*w**5. Factor t(y).
-y*(y + 4)**2/5
Let k = -144 - -147. Let 75 + 45*f**k + 84*f - 27 - 54*f**3 + 12*f**2 = 0. Calculate f.
-2, -2/3, 4
Let d(m) = m**3 + m**2 + m - 1. Let g(i) = -6 - 2*i**4 + 7*i**2 + 2*i + 5*i**2 - 11*i**3 + 17*i**3. Let n(p) = -6*d(p) + g(p). Factor n(r).
-2*r*(r - 1)**2*(r + 2)
Let q(z) be the third derivative of z**5/150 + 23*z**4/10 - 143*z**3/3 + 87*z**2 + 4*z. Factor q(m).
2*(m - 5)*(m + 143)/5
Let s be 1/(6/(-9))*-12. Let y be ((-18)/21)/(s/(-42)). Suppose 0 + 3/7*p + 0*p**3 - 3/7*p**5 - 6/7*p**y + 6/7*p**4 = 0. What is p?
-1, 0, 1
Suppose 4*b**4 + 125*b**2 + 22*b**3 - 840*b + 342*b**2 + 81*b**2 + 266*b**3 = 0. What is b?
-70, -3, 0, 1
Let v be (-5 + 5 + (2 - 0))*1. Factor 6724*r**v - 5 + 9 - 656*r + 12.
4*(41*r - 2)**2
Suppose j - 3*f = 26, -4*f + 39 = 7*j - 4*j. Determine c, given that -j*c - 84004 - 23*c + 84106 + 2*c**2 = 0.
3, 17
Let t(g) be the second derivative of -g**5/15 + 350*g**4/3 - 245000*g**3/3 + 85750000*g**2/3 - 469*g. Factor t(p).
-4*(p - 350)**3/3
Let i be (21/(-14))/((-12)/8). Find v such that 5 - i - 450*v**2 - 120*v - 8 - 4 = 0.
-2/15
Let a(q) be the second derivative of q**7/504 + 11*q**6/144 + q**5 + 169*q**4/12 - 250*q. Let g(z) be the third derivative of a(z). Find u, given that g(u) = 0.
-8, -3
Let g(w) be the first derivative of w**7/70 + w**6/5 + 27*w**5/100 - 50*w + 20. Let l(u) be the first derivative of g(u). Factor l(k).
3*k**3*(k + 1)*(k + 9)/5
Suppose -2/5*j**2 + 22 + 108/5*j = 0. What is j?
-1, 55
Suppose -126 = 4*v + 2*k - 136, -4*k - 2 = -3*v. Factor 2*j - 1/3*j**v - 5/3.
-(j - 5)*(j - 1)/3
Let l(t) be the second derivative of t**6/2340 - t**4/156 + 24*t**3 + t - 142. Let h(f) be the second derivative of l(f). Factor h(u).
2*(u - 1)*(u + 1)/13
Let p(h) = 72*h + 2018. Let y be p(-28). Let a(w) be the third derivative of -2/3*w**3 - 19/90*w**5 + 29/36*w**4 + 0*w - 18*w**y + 0 - 1/45*w**6. Factor a(i).
-2*(i - 1)*(i + 6)*(4*i - 1)/3
Suppose 8*h = 7*h - 3*v + 439, -870 = -2*h - 2*v. Let x = h - 1285/3. Let -x*n - 2/3*n**3 + 0 - 16/3*n**2 = 0. What is n?
-7, -1, 0
Factor -7*b**2 - 6*b - 1/4*b**4 - 5/2*b**3 + 0.
-b*(b + 2)**2*(b + 6)/4
Let w(x) be the first derivative of 2*x**3/45 - 2956*x**2/15 + 4368968*x/15 - 899. Factor w(j).
2*(j - 1478)**2/15
Factor 2/13*s**4 + 1012/13*s**3 + 130018/13*s**2 + 504008/13*s + 0.
2*s*(s + 4)*(s + 251)**2/13
Let l = -98/93 + 12/31. Let f = 16/15 + l. Factor f*m - 2/5*m**2 + 4/5.
-2*(m - 2)*(m + 1)/5
Suppose 5*s - 22 = 2*k + 6*s, -3*k - s = 34. Let r(i) = 2*i + 27. Let x be r(k). Solve 4/5*v**x + 0 - 4/5*v - 4/5*v**2 + 4/5*v**4 = 0 for v.
-1, 0, 1
Suppose 36 = 3*o - 5*y, -4*o - 16 = 2789*y - 2785*y. Let h = 129/2 + -64. Let -5/2*f + 2*f**o + h = 0. What is f?
1/4, 1
Let l(z) = 5 + 21*z + 8*z**2 - 21*z**2 - 4 + 0. Let x(b) = -3*b**2 + 5*b. Let i(p) = -4*l(p) + 18*x(p). Solve i(h) = 0.
1, 2
Let s(j) be the third derivative of j**5/60 - j**4/12 - 3*j**3/2 - 19*j**2. Let x be s(5). Factor -x - 8*b**4 + 14 - 11*b**3 - 28*b + 32*b**2 + 3*b**3 + 4*b**5.
4*(b - 1)**4*(b + 2)
Solve 0 - 56169/4*l + 3/4*l**4 - 483/4*l**3 + 20145/4*l**2 = 0.
0, 3, 79
Determine h so that -22*h**4 - 2080*h + 27*h**3 + 17*h**4 + 7*h**3 + 360*h**2 - 24*h**3 + 3200 = 0.
-10, 4
Solve -694/19*r - 2/19*r**2 - 692/19 = 0 for r.
-346, -1
Let o(v) = v**3 + 11*v**2 + 21*v - 21. Let a be (1448/905)/(2/(-10)). Let u be o(a). Factor -2/3 + 1/3*p - 1/3*p**u + 2/3*p**2.
-(p - 2)*(p - 1)*(p + 1)/3
Let -15/8*i + 0 - 9/4*i**2 = 0. Calculate i.
-5/6, 0
Let r(g) = 13*g**3 - 5*g**2 + 13*g - 3. Let c(n) = -9*n**2 - 5 + 10*n + 28*n - 13*n + 28*n**3. Let f(y) = -6*c(y) + 13*r(y). Factor f(p).
(p - 9)*(p - 1)**2
Let y(o) be the first derivative of o**6/360 + o**5/45 + o**4/18 - o**2/2 + 16*o + 46. Let w(x) be the second derivative of y(x). Factor w(s).
s*(s + 2)**2/3
Let v(z) = -z**2 - z. Let s(n) = n**2 - 2*n. Let h be ((-54)/45)/((-6)/20). Let x(j) = h*v(j) + 2*s(j). Solve x(g) = 0 for g.
-4, 0
Suppose -3*m + 174 = 162. Factor 12*w - 2563*w**3 + 2563*w**3 - 12*w**2 + 4*w**m - 4*w.
4*w*(w - 1)**2*(w + 2)
Let l(q) be the second derivative of -5*q**4/12 - 4745*q**3 - 40527045*q**2/2 + 3797*q. Factor l(i).
-5*(i + 2847)**2
Let u(o) be the first derivative of -4*o**5/5 + 29*o**4 - 36*o**3 - 58*o**2 + 112*o + 1266. Determine y, given that u(y) = 0.
-1, 1, 28
Let c = 9121 - 9118. Let x(o) be the first derivative of 32 + 5/2*o**2 + 0*o - 5/8*o**4 - 5/6*o**c. Factor x(q).
-5*q*(q - 1)*(q + 2)/2
Let b(i) be the third derivative of -i**6/540 - 58*i**5/135 - 115*i**4/108 + i**2 - 80*i. What is w in b(w) = 0?
-115, -1, 0
Let q(f) be the first derivative of 2*f**5/7 - 304*f**4/7 + 1256*f**3/3 - 7264*f**2/7 - 7296*f/7 - 3915. Suppose q(z) = 0. What is z?
-2/5, 4, 114
Suppose 124*v**4 - 36*v - 36*v - 98*v**3 - 50*v**2 - 138*v**2 + 222*v**3 + 12*v**5 = 0. Calculate v.
-9, -2, -1/3, 0, 1
Let q be (-71)/(-45) + 13/65. Suppose 2*i = 3*m + 159 - 125, -4*m - 37 = -i. Solve q + 44/9*v**4 + 122/9*v**3 + 2/3*v**i + 88/9*v + 52/3*v**2 = 0.
-2, -1, -1/3
Suppose 7612 = 12*z - z. Let a be (-2)/(-5) - z/(-20). Factor -2*p**2 - 35 + a.
-2*p**2
Let k(o) be the second derivative of 0*o**3 + 0*o**2 - 1/15*o**6 + 7/6*o**4 - 3/5*o**5 - 34*o + 0. Let k(g) = 0. What is g?
-7, 0, 1
Let w(i) = i**2 + 29*i + 57. Let j be (0 - -2)*7/(42/(-81)). Let d be w(j). Factor 1 - 3/4*v**2 - 1/4*v**d + 0*v.
-(v - 1)*(v + 2)**2/4
Find s such that -269*s + 4*s**2 + 182 + 314 - 231*s = 0.
1, 124
Let -v**4 + 7*v - 189 + 81533*v**3 + 23*v + 186*v**2 - 81431*v**3 - 3*v**5 + 4*v**4 - 129*v = 0. Calculate v.
-3, -1, 1, 7
Let q(j) be the first derivative of 5/4*j**4 - 97 + 0*j - 190/3*j**3 + 0*j**2. Suppose q(u) = 0. Calculate u.
0, 38
Let l(x) = -3*x**2 + 8*x + 5. Let k be (4/6)/(0 - (-12)/54). Let i be l(k). Factor -i - 58*a + 2*a**3 + 28*a + 36*a - 6*a**2.
2*(a - 1)**3
Let u(g) be the third derivative of -g**6/540 + 101*g**5/135 - 9785*g**4/108 - 42436*g**3/27 - 2*g**2 - 321. Factor u(c).
-2*(c - 103)**2*(c + 4)/9
Find b such that 104/5 - 2/15*b**2 - 152/15*b = 0.
-78, 2
Let w(q) be the first derivative of -2*q**3/51 + 47*q**2/17 + 1560*q/17 - 1484. Factor w(a).
-2*(a - 60)*(a + 13)/17
Let c be 3*(10/(-6) - -3). Factor 8*w + 8*w**2 + 3341 - 3341 - 2*w**3 - 2*w**c.
-2*w*(w - 2)*(w + 1)*(w + 2)
Factor -9/4 - 2*f - 1/4*f**4 + 5/2*f**2 + 2*f**3.
-(f - 9)*(f - 1)*(f + 1)**2/4
Suppose -27*d - 4*u = -28*d + 14, -5*u - 10 = 0. Factor 56 - 4*a**2 + 20*a - d*a + 6*a.
-4*(a - 7)*(a + 2)
Suppose 65*y - 58*y - 224 = 0. Let u(r) = 4*r - 124. Let d be u(y). Suppose 1/2*l**3 + 3/4 - 1/2*l + 1/4*l**d - l**2 = 0. Calculate l.
-3, -1, 1
Let v(q) = -5*q**4 - q**3 - 3*q**2 + q + 5. Let p(g) = 2*g**4 - g**2 + g + 1. Let d = 111 - 114. Let x(u) = d*p(u) - v(u). Factor x(c).
-(c - 2)**2*(c + 1)*(c + 2)
Let n(a) be the third derivative of -a**5/15 + 95*a**4 - 54150*a**3 + 1974*a**2. Let n(b) = 0. Calculate b.
285
Let k(t) be the second derivative of 34*t**6/15 - 39*t**5/5 + 5*t**4/3 + 26*t**3 - 44*t**2 + 474*t - 2. Solve k(n) = 0.
-1, 1, 22/17
Let c be (-52244)/59496 + 6/4. Let k = c + 3/67. Suppose -4/3*n + 2/3*n**2 + k = 0. Calculate n.
1
Let w be (((-32208)/(-793))/(-88))/((-3)/26). Find u, given that 1/2*u**w + 0*u + u**2 + 3/2*u**3 + 0 = 0.
-2, -1, 0
Factor 25*x**2 - 880*x - 100 + 920*x - 5*x**3 - 113 - 27.
-5*(x - 4)**2*(x + 3)
Let f(i) be the first derivative of -i**5/15 - 131*i**4/12 - 1892*i**3/3 - 39688*i**2/3 + 85184*i/3 - 1234. Factor f(d).
-(d - 1)*(d + 44)**3/3
Let s be (9/(-21))/((-1286 - -1300) + 6*(-66)/28). Suppose 1/2*l**s + 0 - 3/2*l**2 + 0*l = 0. Calculate l.
0, 3
Suppose 64 + 70 = 61*z - 49. Let c be 7 + 0/1 + 2. Suppose -c*f**2 + 139*f**3 - 151*f**z - 4*f**4 - 4*f - 3*f**2 = 0. What is f?
-1, 0
Let o be (-2)/(-2) - (-6)/(42/(-5)). Let m be 272/(-833)*(-14)/4. Solve -2/7*c**2 + m - o*c**3 + 8/7*c = 0.
-2, -1, 2
Let j be ((-9)/(-21))/(51/238). Suppose 0*l + 2*l = 20. Solve -8 + l*x**j + 56*x - 77*x**2 - 23*x**2 = 0.
2/9, 2/5
Find f, given that -26*f - f**2 + 398*f - 39 + 28 + 384 = 0.
-1, 373
Let c(u) be the first derivative of 32 + 16718*u**2 - 953312*u - 11713*u**2 + u**4 - 356*u**3 + 108*u**3 + 18059*u**2. Factor c(z).
4*(z - 62)**3
Let a(n) be the second derivative of -n**5/110 - 569*n**4/66 - 568*n**3/33 + 869*n + 2. Factor a(d).
-2*d*(d + 1)*(d + 568