Let m(u) be the first derivative of -2*u**5/65 + 57*u**4/26 + 116*u**3/39 + 1135. Factor m(z).
-2*z**2*(z - 58)*(z + 1)/13
Let k(c) be the second derivative of -104*c - 3/20*c**5 + 8*c**3 + 96*c**2 - c**4 + 0. Factor k(g).
-3*(g - 4)*(g + 4)**2
Let i(v) = -6*v**3 - v**2 + 1. Let w(z) = 206*z**3 - 434*z**2 + 310*z - 22. Let n(o) = 10*i(o) + w(o). Factor n(x).
2*(x - 2)*(x - 1)*(73*x - 3)
Let g(y) be the second derivative of 0*y**2 + 128*y + 0*y**4 + 0 + 0*y**3 + 1/120*y**6 + 1/40*y**5. Suppose g(n) = 0. What is n?
-2, 0
Suppose -17*k + 21*k - 148 = -4*w, -4*k + 80 = 2*w. Let b be 0 - -1 - 17/w. Determine l, given that -b*l**2 - 1/2 + l = 0.
1
Suppose 0 = -3*j - 5*r + 295, -3*j - 4*r + 208 = -82. Let x be 9 + 3/(j/(-264)). Factor -x*o**4 - 4*o**3 - 196/5*o - 126/5*o**2 + 343/5.
-(o - 1)*(o + 7)**3/5
Find h such that 44/5*h + 2/5*h**4 - 14/5*h**2 + 48/5 - 8/5*h**3 = 0.
-2, -1, 3, 4
Suppose -31408 = -15*v - 20*v - 31338. Factor -2/13*x**3 - 24/13*x + 0 - 14/13*x**v.
-2*x*(x + 3)*(x + 4)/13
Find q, given that 15/7*q**2 + 5/7*q**3 - 1/7*q**4 - 54/7 - 45/7*q = 0.
-3, -1, 3, 6
Let u(y) be the first derivative of -52*y**3/3 + 758*y**2 - 232*y - 1574. Factor u(w).
-4*(w - 29)*(13*w - 2)
Suppose 1875/11 - 7025/11*p + 189/11*p**3 - 177*p**2 - 4/11*p**4 = 0. What is p?
-3, 1/4, 25
Let u(z) be the first derivative of 0*z**3 - 13 + 0*z**2 + 1/10*z**5 - 1/45*z**6 - 13*z - 1/9*z**4. Let c(v) be the first derivative of u(v). Solve c(d) = 0.
0, 1, 2
Let i(l) be the third derivative of l**7/105 - 3*l**6/20 + 23*l**5/30 - 5*l**4/4 - 3055*l**2. Solve i(h) = 0.
0, 1, 3, 5
Let m(i) be the first derivative of i**6/210 + 3*i**5/70 + i**4/7 + 4*i**3/21 + 36*i - 3. Let f(s) be the first derivative of m(s). Factor f(p).
p*(p + 2)**3/7
Let t(o) = -22*o**2 + 67*o - 1. Let v be t(3). Determine g so that 7*g**v + 8*g + 16/7 = 0.
-4/7
Let y(i) be the third derivative of -i**7/1260 + 23*i**6/240 - 77*i**5/24 - 1225*i**4/144 + 2399*i**2. Factor y(k).
-k*(k - 35)**2*(k + 1)/6
Let s = -212324/9 + 23592. Suppose 4/3*c + s + c**2 = 0. Calculate c.
-2/3
Suppose -8*d + 7*d + 98 = 0. Let v = d - 95. Determine f, given that 3/4 + 1/4*f**v - 3/4*f**2 - 1/4*f = 0.
-1, 1, 3
Let v(x) = x**2 + 2*x. Let q be v(-7). Let d = -32 + q. Factor -8*p**3 - 7 - d - 4*p**4 + 16*p + 18*p**2 - 6*p**2 - 6.
-4*(p - 1)**2*(p + 2)**2
Let a(g) be the third derivative of -g**5/15 - 407*g**4/6 - 812*g**3/3 - 535*g**2. Factor a(o).
-4*(o + 1)*(o + 406)
Factor -392*a**2 + 32/3*a**4 + 0*a + 0 - 4/3*a**5 + 140/3*a**3.
-4*a**2*(a - 7)**2*(a + 6)/3
Let m be ((-296)/(-64) + -4)*8. Suppose -15190*v**4 + 8 + 25*v - 2*v + 15189*v**4 + 21*v**2 + m*v**3 = 0. What is v?
-1, 8
Let a be (-3 + 0 + 865/275)/(24/540). Factor -80/11 - a*g + 2/11*g**2.
2*(g - 20)*(g + 2)/11
Suppose -5*f = -4*z + 6, 2*f + 7 - 15 = -z. What is p in -2*p**2 + 0*p**4 - 277*p**3 + 276*p**3 + 3*p**z = 0?
-2/3, 0, 1
Let r(l) be the third derivative of -l**5/30 - 97*l**4 - 112908*l**3 + 4569*l**2. Factor r(d).
-2*(d + 582)**2
Let i(f) = -4*f + 4*f + 4*f - 17*f**3 + 4*f - 8 + 17*f**2. Let z(v) = 8*v**3 - 8*v**2 - 4*v + 4. Let w be 1/6 - 125/30. Let d(s) = w*i(s) - 9*z(s). Factor d(n).
-4*(n - 1)**2*(n + 1)
Suppose -450*s - 57 = -454*s + 5*w, -4*s + w + 21 = 0. Suppose -16/3 + 16/3*v + 4*v**2 - 16/3*v**s + 4/3*v**4 = 0. Calculate v.
-1, 1, 2
Let s(z) be the first derivative of 237 - 34/3*z**2 - 1156/3*z - 1/9*z**3. Find v such that s(v) = 0.
-34
Let i(k) = k**3 + k**2 + 10*k - 1. Let p(a) = 8*a**3 + 66*a + 21. Let o(d) = 21*i(d) - 3*p(d). Factor o(g).
-3*(g - 7)*(g - 2)*(g + 2)
Factor 2/9*k**2 - 100/3 + 10/9*k.
2*(k - 10)*(k + 15)/9
Let z(w) be the third derivative of -w**8/80640 + 3*w**7/2240 + w**5/4 - 156*w**2. Let k(n) be the third derivative of z(n). Factor k(o).
-o*(o - 27)/4
Let u = 469833 - 469830. Determine o so that 0 + u*o - 15/4*o**3 + 3/4*o**2 = 0.
-4/5, 0, 1
Let s be 5104/16 - 1/((-1)/(-4)). Let v = -5983/19 + s. What is w in -2/19*w + 2/19 - 2/19*w**2 + v*w**3 = 0?
-1, 1
Suppose a = 4, 29*a + 196 = 2*r + 28*a. Let k be ((-10)/(-44))/(25/r). Suppose -10/11*h**4 + 0 + 2/11*h**5 - 12/11*h + k*h**3 + 10/11*h**2 = 0. What is h?
-1, 0, 1, 2, 3
Let x(z) be the third derivative of z**8/84 + 92*z**7/105 + 88*z**6/5 - 46*z**5/15 - 529*z**4/6 + 1155*z**2. What is j in x(j) = 0?
-23, -1, 0, 1
Let f(w) be the third derivative of w**6/60 - 3479*w**5/30 + 6955*w**4/12 - 1159*w**3 + 14970*w**2. Factor f(v).
2*(v - 3477)*(v - 1)**2
Suppose 5*i - 4*z = 12, 381*i - 4*z - 12 = 386*i. Suppose 0*u**2 + i*u + 0*u**3 + 0 - 1/8*u**5 + 1/2*u**4 = 0. What is u?
0, 4
What is h in -1136 + 2*h**2 - 2*h**2 + h**2 - 276*h - 3*h**2 - 862*h = 0?
-568, -1
Determine f so that -28*f**2 - 559*f**3 + 1100*f**3 - 429*f**3 + 136*f**2 + 8*f**4 - 4*f**4 = 0.
-27, -1, 0
Let l(d) be the second derivative of d**4/108 - 415*d**3/27 + 829*d**2/18 + 10033*d. Factor l(i).
(i - 829)*(i - 1)/9
Let h = -17 + 107. Determine a, given that 1319*a**3 + 35*a**5 + 220*a**4 - h - 31*a + 393*a**2 - 2099*a**3 - 28*a + 277*a**2 + 4*a = 0.
-9, -2/7, 1
Let x(s) be the second derivative of 3/10*s**5 - 6*s**2 - 3/8*s**4 - 7/2*s**3 - 11*s + 1/20*s**6 + 1. Factor x(k).
3*(k - 2)*(k + 1)**2*(k + 4)/2
Let x(d) be the third derivative of d**6/180 + 53*d**5/15 + 711*d**4 + 49928*d**3/9 + 5170*d**2. What is i in x(i) = 0?
-158, -2
Let d be ((-24)/20 - -1)*-15. Suppose 42 = 4*w + d*w. Suppose 3*z - 6*z**5 - 2*z**2 + 3*z**5 - 4*z**2 + w*z**4 = 0. Calculate z.
-1, 0, 1
Suppose -k - 4*k + t = -53, -k + 3*t = -19. Suppose 45 = 15*s - k*s. Suppose 21*n**3 - 8*n**3 + s*n**2 - 9*n**3 - 7*n**3 = 0. What is n?
0, 3
Suppose -77*f + 68*f = 27. Let a be 1/5 + 2580/600 + f. Factor a*x + 1 - x**2.
-(x - 2)*(2*x + 1)/2
Let w(f) be the first derivative of -5/44*f**4 + 0*f**2 + 0*f - 1/55*f**5 + 2/11*f**3 + 10. Factor w(k).
-k**2*(k - 1)*(k + 6)/11
Let f = 33 - 53. Let g = 25 + f. Determine s, given that g*s**4 - 185*s**3 - 4*s + 2*s**2 + 209*s**3 + 16*s**4 - 3*s**4 = 0.
-1, -2/3, 0, 1/3
Suppose -3065 = 3*s - 533. Let z = -842 - s. Factor 0 + 1/11*n**z - 6/11*n.
n*(n - 6)/11
Solve -90*p**2 - 174*p**4 + 184 + 69*p**5 - 548*p + 80 + 94*p - 55*p**5 + 410*p**3 + 30*p = 0.
-1, 1, 2, 66/7
Let o(r) be the second derivative of -6 - 8*r**2 - 14/3*r**3 - 7/6*r**4 - r - 1/10*r**5. Determine m, given that o(m) = 0.
-4, -2, -1
Suppose y = 4*j - 32, 368*y = -5*j + 367*y - 5. Factor 4/3*a**2 + 80/3*a - 1/3*a**j + 64.
-(a - 12)*(a + 4)**2/3
Let 68*h**2 + 981*h + 208 - 607*h + 746*h + 304 = 0. What is h?
-16, -8/17
Let z(b) = 45*b**3 - 1924*b**2 + 1186*b - 165. Let u(t) = -45*t**3 + 1922*t**2 - 1184*t + 166. Let q(d) = -3*u(d) - 2*z(d). Find s, given that q(s) = 0.
2/9, 2/5, 42
Let c(k) be the first derivative of 93 + 30*k**2 + 55*k + 5/3*k**3. Solve c(h) = 0.
-11, -1
Let s(i) be the first derivative of 109 - 1/7*i**3 - 114/7*i - 117/14*i**2. Factor s(z).
-3*(z + 1)*(z + 38)/7
Let i(s) = 8*s**2 - 12*s - 20. Suppose 5*u - 3*z - 5 = 0, 4*z = -4*u + 21 + 15. Let v(a) = -9*a**2 + 11*a + 20. Let k(t) = u*i(t) + 3*v(t). Factor k(q).
5*(q - 4)*(q + 1)
Let s(k) = -9*k - 129. Let f be s(-25). Find j, given that 30*j + 8*j**2 + 89 - 176 + j**2 + f = 0.
-3, -1/3
Factor 792 + 1555*q**2 + 557*q**2 - 492*q**2 + 3572*q + 16*q**3.
4*(q + 2)*(q + 99)*(4*q + 1)
Let b be 246/164*272/(-21). Let s = -509/28 - b. Suppose 5 + 5/4*d**3 - s*d - 5*d**2 = 0. What is d?
-1, 1, 4
Suppose u - 219 = -3*z, 0 = -3*z + 3*u - 8*u + 219. Suppose -2*t + z = -5*q, 2*t + 3*q = -2*t + 211. What is s in 2*s**2 - 22 - 27 + t - 12*s = 0?
0, 6
Let a(g) be the first derivative of -g**4/2 - 40*g**3/3 - 36*g**2 + 5171. Suppose a(q) = 0. What is q?
-18, -2, 0
Let p(d) be the first derivative of d**3/6 - 25*d**2/4 - 112*d + 1637. Suppose p(l) = 0. Calculate l.
-7, 32
Let b be (-3)/(-21) - 12/448*-4. Let y(g) be the second derivative of 1/10*g**5 - b*g**4 - 2*g**2 + 3*g - 4/3*g**3 + 1/30*g**6 + 0. Solve y(f) = 0 for f.
-2, -1, 2
Let l(m) be the third derivative of -m**8/448 + 5*m**7/168 - 71*m**6/480 + 5*m**5/16 - 3*m**4/16 - 709*m**2. Find c, given that l(c) = 0.
0, 1/3, 2, 3
Let g(b) be the first derivative of 0*b - 21/2*b**2 + 5/8*b**4 + 0*b**3 + 7 - 1/12*b**5. Let a(d) be the second derivative of g(d). Find t such that a(t) = 0.
0, 3
Let 10 + 54*a - 315 - 746*a - 8*a**2 - 1063 + 4*a**2 = 0