
Let z be (-18)/24*-2*(-2)/3. Let n be ((-39)/52)/(z/4). Factor -5*o**2 - 2*o**2 - n*o**3 + 3*o**2 + o**2.
-3*o**2*(o + 1)
Let w(v) be the second derivative of -v**4/3 + 58*v**3/3 + 4*v - 27. Factor w(n).
-4*n*(n - 29)
Let g = 19/1617 + 2543/12936. Let o(a) be the first derivative of 0*a**3 + 1/4*a**5 + 5 + 0*a**4 + 0*a**2 + g*a**6 + 0*a. Solve o(i) = 0 for i.
-1, 0
Let q = 299547 + -299544. Factor -1/4*g**4 - 1728*g - 216*g**2 - 5184 - 12*g**q.
-(g + 12)**4/4
Let k(f) be the first derivative of f**3/36 - 59*f**2/12 + 3481*f/12 - 221. Let k(q) = 0. Calculate q.
59
Let s(d) be the first derivative of 3*d**3/4 + 21*d**2/8 - 9*d/2 + 1844. Determine i so that s(i) = 0.
-3, 2/3
Let t = 6/1243 - -1231/2486. Let i = 10/3 - 11/6. What is y in 0 + y + t*y**3 + i*y**2 = 0?
-2, -1, 0
Suppose -7*y + 12 = -23. Suppose -5*j = 5*g - 30, -g = -y*j - 0*g + 12. Suppose -52*z - 4*z**j - 66*z + 18*z - 40*z**2 = 0. Calculate z.
-5, 0
Factor -3/7*z**2 + 1/7*z**4 + 23/7*z**3 - 71/7*z - 46/7.
(z - 2)*(z + 1)**2*(z + 23)/7
Find f, given that 531*f**3 + 198 + 8*f**4 + 1215*f**2 - 23*f**4 - 43*f**4 + 73*f**4 + 897*f = 0.
-33, -1, -2/5
Let z(v) be the third derivative of -3/20*v**6 + 5/2*v**3 + v**2 + 0 - 1/5*v**5 + 3/4*v**4 - 25*v - 1/70*v**7. Let z(i) = 0. What is i?
-5, -1, 1
Let g(k) be the second derivative of -k**5/12 - 751*k**4/36 - 25*k**3/3 - 2*k - 2079. Factor g(i).
-i*(i + 150)*(5*i + 1)/3
What is w in 4/11*w - 186/11*w**2 + 0 - 94/11*w**3 = 0?
-2, 0, 1/47
Let i(t) be the first derivative of -t**3/3 - 325*t**2/2 - 646*t + 1849. Factor i(b).
-(b + 2)*(b + 323)
What is g in -2*g - 1/3*g**2 + 7/3 = 0?
-7, 1
Let l(c) be the third derivative of c**5/420 - 11*c**4/84 + 20*c**3/7 - 324*c**2. Solve l(n) = 0.
10, 12
Let w = 993 + -1098. Let l be -5*98/w + -3 + -1. Factor 4/3 - 2*p + l*p**2.
2*(p - 2)*(p - 1)/3
Factor 3/5*k**3 + 6 - 21/5*k - 12/5*k**2.
3*(k - 5)*(k - 1)*(k + 2)/5
Let f(m) = -m. Let n(u) = 3*u - 2. Let c(j) = f(j) - n(j). Let s be c(0). Factor -6 - 4*b + 13*b**2 - 22*b**2 + 11*b**s.
2*(b - 3)*(b + 1)
Let x(a) be the third derivative of -a**8/112 - 6*a**7/35 - 13*a**6/10 - 24*a**5/5 - 8*a**4 + 626*a**2. Find b, given that x(b) = 0.
-4, -2, 0
Let v be (-44310)/(-75) + (-8)/10. Factor 0*j + 100*j**2 - v*j + 27*j**3 + 18*j - 31*j**3 - 676.
-4*(j - 13)**2*(j + 1)
Factor -64/9*q - 32 + 2/9*q**2.
2*(q - 36)*(q + 4)/9
Find x such that -1/4*x**2 - 279/2 + 189/4*x = 0.
3, 186
Factor -762/5 + 2/5*g**2 + 248/5*g.
2*(g - 3)*(g + 127)/5
Let a(z) = z**2 - 4*z - 18. Let o be a(7). Suppose 0 = 4*b + 3*v - 168, -o*v - 2*v = 4*b - 176. What is p in 45*p**2 - 87*p**2 - 6*p + 24*p + b*p**2 = 0?
0, 6
Suppose 16*r - 4 = 15*r. Let a be -3*1 - -5*(-3 + r). Factor -7*c**3 - 92*c - 26*c**a + 116*c - 2*c**4 + 19*c**3 - 8.
-2*(c - 2)**2*(c - 1)**2
Suppose -10*b**3 + 5/3*b**5 + 35 - 35/3*b**4 + 250/3*b**2 - 295/3*b = 0. Calculate b.
-3, 1, 7
Let l = 3348 - 3348. Let y(h) be the first derivative of l*h - 6 + 78/55*h**5 + 8/11*h**3 - 3/11*h**6 + 0*h**2 - 20/11*h**4. Find g such that y(g) = 0.
0, 2/3, 3
Factor 81*m - 193*m - 3*m**2 + 82 + 7*m**2 + 26.
4*(m - 27)*(m - 1)
Suppose -115*x = 81*x + 48*x. Let t(d) be the third derivative of -1/42*d**7 + x*d + 0 + 5*d**2 - 1/4*d**5 - 5/24*d**4 + 0*d**3 - 1/8*d**6. Factor t(m).
-5*m*(m + 1)**3
Let y(t) be the first derivative of 0*t + 5/3*t**2 - 92 + 4/9*t**3 + 1/30*t**4. Factor y(s).
2*s*(s + 5)**2/15
Let d be (-40)/(-32)*50/395. Let z = d + 2/237. Determine l so that z + 1/3*l + 1/6*l**2 = 0.
-1
Let k = 32/1045 - -11996/17765. Let w be (-1)/17*36/(-2). Factor k*p - 2/17*p**2 - w.
-2*(p - 3)**2/17
Let a(t) be the third derivative of t**6/120 + 7*t**5/60 + 5*t**4/12 + 9*t**3/2 - 32*t**2. Let i be a(-6). Solve 199*c**2 - 6*c - 201*c**2 + 11 - i = 0 for c.
-4, 1
Let k(r) be the third derivative of -5*r - 1/210*r**7 - 2*r**2 + 0*r**3 - 1/24*r**6 + 5/24*r**4 + 1/60*r**5 + 0. Factor k(b).
-b*(b - 1)*(b + 1)*(b + 5)
Let k(d) be the first derivative of -1/30*d**5 + 1/12*d**2 + 30 + 0*d + 1/18*d**3 - 1/24*d**4. Solve k(i) = 0 for i.
-1, 0, 1
Let d = -201 + 213. Factor -8*w**2 + 10*w**2 - 4*w**3 - d*w - 18*w**2 + 0*w**2.
-4*w*(w + 1)*(w + 3)
Let r = -1149 + 1154. Let g(u) be the second derivative of 8*u + 0 - 4/3*u**3 - 4*u**2 + 1/10*u**r + 1/6*u**4. Factor g(q).
2*(q - 2)*(q + 1)*(q + 2)
Let p = -567 + 545. Let j(t) = 28*t + 618. Let w be j(p). Factor 1/6*m**3 + 4/3 + 1/6*m**4 - m**w - 2/3*m.
(m - 2)*(m - 1)*(m + 2)**2/6
Let w(z) = -2*z**2 - z + 2. Let y(a) = 3*a**3 + 93*a**2 - 219*a + 210. Let j(x) = -21*w(x) - y(x). Factor j(r).
-3*(r - 2)**2*(r + 21)
Let i(m) be the second derivative of 3*m**5/20 - 73*m**4/2 + 6097*m**3/2 - 80802*m**2 + 494*m. Find s, given that i(s) = 0.
12, 67
Let h be (48/42 - 4)/(22/(-154)). Let u(b) be the first derivative of -4*b**2 + h*b + 4/15*b**3 - 33. Factor u(o).
4*(o - 5)**2/5
Let f(k) be the third derivative of k**6/280 + 9*k**5/70 - 19*k**4/56 - 142*k**2. Factor f(b).
3*b*(b - 1)*(b + 19)/7
Factor -149*y**2 + 77*y**2 - 25 - 156*y + 4*y**3 + 11 - 66.
4*(y - 20)*(y + 1)**2
Let p(y) be the third derivative of -5*y**8/48 + 2*y**7/7 + 109*y**6/24 + 29*y**5/6 - 55*y**4/2 - 100*y**3/3 - 1734*y**2. What is w in p(w) = 0?
-2, -2/7, 1, 5
Let l(f) be the third derivative of -f**6/24 - 145*f**5/6 + 2915*f**4/24 - 730*f**3/3 + 3*f**2 - 20. Factor l(g).
-5*(g - 1)**2*(g + 292)
Factor -10 + 190*k - 24*k**4 - 630*k**2 + 637 - 814*k + 27*k**4 + 624*k**3.
3*(k - 1)**2*(k + 1)*(k + 209)
Let b be (9/4)/(-3)*(-4080)/765. Find m such that 16/3*m - 1/3*m**3 - b - m**2 = 0.
-6, 1, 2
Suppose -141*i + 154*i - 26 = 0. Let a = 4 + -3. Suppose 1 - 80*g**i - 12*g + 77*g**2 - a = 0. What is g?
-4, 0
Let g(k) be the second derivative of 8*k**3 + 3/4*k**5 + 95*k - 9/56*k**7 - 6*k**2 - 5*k**4 + 21/40*k**6 + 0. Find o such that g(o) = 0.
-2, 2/3, 1, 2
Factor 0*g**3 + 607*g**2 + g**3 + 32088 + 14905 - 1418*g**2 + 117843 + 164024*g.
(g - 406)**2*(g + 1)
Let q(r) be the third derivative of -r**5/240 + 25*r**4/16 + 38*r**3/3 + 2181*r**2. Factor q(y).
-(y - 152)*(y + 2)/4
Let z = -169 + 177. Let u(q) = -2*q**2 + 17*q - 8. Let s be u(z). Let -12*o + 18*o**2 - 9/2*o**4 + s - 3/4*o**5 - 3/4*o**3 = 0. Calculate o.
-4, 0, 1
Factor -1/3*y**2 - 5041/3 + 142/3*y.
-(y - 71)**2/3
Let h(n) be the second derivative of -n**6/432 - 5*n**5/144 + 6*n**3 + 82*n. Let y(f) be the second derivative of h(f). Factor y(p).
-5*p*(p + 5)/6
Let t be (90/3 + -2)/(4 + -2). Factor 0*u**3 + t*u**3 + u**5 + 5*u**4 - 6*u**3 + 4*u**2.
u**2*(u + 1)*(u + 2)**2
Let a be (-26*(-207)/43056)/(0 - (-1)/2). Determine g, given that 225/4*g + a*g**3 + 15/2*g**2 + 0 = 0.
-15, 0
Let r(w) be the first derivative of w**3 - 1893*w**2 + 1194483*w - 599. Solve r(x) = 0.
631
Suppose -5 = -8*w + 19. Suppose q + 5*m = 18, 5*q + w*m - 6 = 6*m. Solve -22*a**q - 5*a + 6*a**2 - 2*a**2 + 21*a**3 + 2*a**2 = 0 for a.
0, 1, 5
Factor 34*w**2 + 5*w**4 - 84*w**3 - 6*w**3 + 39*w**2 - 73*w**2.
5*w**3*(w - 18)
Let k(o) be the third derivative of -o**6/210 - 179*o**5/105 + 376*o**4/7 - 4584*o**3/7 - 2446*o**2. Factor k(i).
-4*(i - 6)**2*(i + 191)/7
Let 238*c**5 - 95*c**4 + 80*c**2 - 245*c**3 - 234*c**5 + 320*c - 143*c**3 + 15*c**4 + 64*c = 0. What is c?
-4, -1, 0, 1, 24
Let g = 24080 + -72235/3. What is a in 1/9*a + 19/9*a**3 + 2/9 - 7/9*a**4 - g*a**2 = 0?
-2/7, 1
Let z(v) be the first derivative of v**4/10 - 8*v**3/5 - 49*v**2/5 + 24*v + 2140. Determine b so that z(b) = 0.
-4, 1, 15
Let v(m) = -7*m**2 + 77*m - 2332. Let a(b) = 39*b**2 - 457*b + 13992. Let d(u) = -6*a(u) - 34*v(u). Factor d(t).
4*(t - 22)*(t + 53)
Suppose 0 = -53*k + 34*k + 304. Let a be (k/56)/(11/14). Factor 4/11*o**3 - 10/11*o + 2/11*o**2 + a.
2*(o - 1)*(o + 2)*(2*o - 1)/11
Let b(y) = 2*y**3 + 7*y**2 - 3*y + 7. Let l be b(-4). Let 10*h**l - h**5 - 5*h**3 + 5*h**4 - 45*h**2 + 131 - 23 = 0. Calculate h.
-2, 3
Let v = 75 + -61. Let n be v/3 - (-2)/(-3). Factor 2*z - 4*z + n*z**2 + 0*z - 2*z**3.
-2*z*(z - 1)**2
Let l = -5/3086 + 3101/9258. Factor -l*s**2 + 1/3*s + 2/3.
-(s - 2)*(s + 1)/3
Let g(s) be the third derivative of 2*s**2 + 0 + 1/210*s**5 - 1/84*s**4 + 0*s - 4/7*s**3. Factor g(r).
2*(r - 4)*(r + 3)/7
What is x in -4/15*x**2 - 2/15*x**5 + 2/15*x**4 + 4/15*x**3 + 2/15 - 2/15*x = 0?
-1, 1
Factor -46 - 65 + 1452*x**3 - 7656*x**2 + 1281*x + 40 - 64 +