*z(b). Factor x(q).
-4*q*(q - 4)*(q + 1)*(q + 2)
Suppose 0 = 2*d + r - 2738, 1 = 2*r - 3. Suppose -3008*u + 0*u**4 + 568*u - 160*u + 1352 + d*u**3 + 2*u**4 - 1268*u**3 + 1146*u**2 = 0. Calculate u.
-26, 1
Let m(q) = -8*q**4 - 281*q**3 - 2129*q**2 + 2364*q + 9. Let b(r) = 2*r**4 + 70*r**3 + 532*r**2 - 592*r - 2. Let x(j) = 18*b(j) + 4*m(j). What is n in x(n) = 0?
-20, -15, 0, 1
Let m = 880/3717 + -6/413. Let b(c) be the third derivative of 0 + 0*c + m*c**3 - 1/45*c**5 + 1/36*c**4 + c**2 - 1/180*c**6. Find s such that b(s) = 0.
-2, -1, 1
Let k(j) be the first derivative of -136 + 0*j - 22/15*j**3 - 6/5*j**2 + 6/5*j**4 + 2/5*j**5. Let k(y) = 0. Calculate y.
-3, -2/5, 0, 1
Let l(a) = a**2 + 15*a - 14. Let j be l(-16). Suppose 3*w = j*i + i - 3, -18 = -3*i - 2*w. Factor 100*r**4 + i*r**2 + 27*r**2 + 5*r**2 + 120*r**3.
4*r**2*(5*r + 3)**2
Let n = 371/4 - 5563/60. Let i(m) be the third derivative of -1/3*m**5 - 8/3*m**3 + 0 - 13*m**2 + n*m**6 + 0*m + 4/3*m**4. Factor i(t).
4*(t - 2)**2*(t - 1)
Suppose 2*a + 64 = 5*o - a, -5*o + 5*a + 60 = 0. Let -1689*u + 1685*u + o - 4*u**2 + 10 = 0. What is u?
-3, 2
Let o = -462 + 757. Suppose o*j = 297*j. Factor -3*v**3 + 0*v + 0 + 12*v**4 - 21/4*v**5 + j*v**2.
-3*v**3*(v - 2)*(7*v - 2)/4
Let v(y) be the second derivative of 0 - 5/12*y**4 + 42*y - 1/2*y**3 + y**2. Find u, given that v(u) = 0.
-1, 2/5
Suppose 3494*z + 625 = 3519*z. Factor 91/4*f**4 - z*f**2 + 0 + 10*f**3 + 0*f - 49/4*f**5.
-f**2*(f + 1)*(7*f - 10)**2/4
Let m(l) = 4*l**3 + 55*l**2 - 96*l + 178. Let q(u) = 4*u**3 + 52*u**2 - 96*u + 176. Let r(s) = 16*m(s) - 17*q(s). What is i in r(i) = 0?
-6, 2, 3
Let n(v) be the third derivative of -v**6/3240 - v**5/270 - v**4/54 - 11*v**3/6 + 46*v**2. Let g(h) be the first derivative of n(h). Find b such that g(b) = 0.
-2
Let j(k) be the first derivative of -2*k**5/15 + k**4/2 + 46*k**3/9 + 11*k**2 + 28*k/3 - 3697. Determine v, given that j(v) = 0.
-2, -1, 7
Let r(t) = -t**3 - 10*t**2 + 4*t - 16. Let k be r(-7). Let o = 1341/7 + k. Suppose -2/7*f**2 + 6/7 + o*f = 0. What is f?
-1, 3
Let d be 4/(-7) - (-1333046)/4130. Let f = d + -322. Factor 0 - f*q**2 - 4/5*q.
-q*(q + 4)/5
Let i be ((-88)/77)/(26/(-91)). Let q(z) be the first derivative of 2/11*z**i + 0*z + 0*z**2 - 4/33*z**3 - 6 - 3/55*z**5. Find d, given that q(d) = 0.
0, 2/3, 2
Let p = -289312 + 2604536/9. Suppose -56/9*c**3 + 2/9*c**4 - p*c + 148/3*c**2 + 338/9 = 0. Calculate c.
1, 13
Let x(c) be the first derivative of c**6/60 - 43*c**5/90 + 7*c**4/18 + c**2 + 35*c - 11. Let s(l) be the second derivative of x(l). Solve s(u) = 0.
0, 1/3, 14
Suppose -2899*p + 363*p = -5072. Find c such that -1/6*c**3 + 13/6*c + 0 + 2*c**p = 0.
-1, 0, 13
Let t = -5248 + 5248. Let a(h) be the first derivative of 8 + 0*h**2 + t*h + 4/15*h**3 + 1/20*h**4. Find u, given that a(u) = 0.
-4, 0
Factor 7*k**2 + 35/3*k - 19 + 1/3*k**3.
(k - 1)*(k + 3)*(k + 19)/3
Let z(n) be the third derivative of n**5/60 - n**4/8 - 20*n**3/3 + 691*n**2. Factor z(i).
(i - 8)*(i + 5)
Let n(c) be the second derivative of -c**7/189 - 5*c**6/432 + c**5/24 + 29*c**4/2 + 4*c + 18. Let d(v) be the third derivative of n(v). Factor d(o).
-5*(o + 1)*(8*o - 3)/3
Determine r so that 32/3*r - 12*r**3 - 8/3*r**2 + 4/3*r**5 + 0 + 8/3*r**4 = 0.
-4, -1, 0, 1, 2
Let 2*j**3 - 147 + 93 + 283*j - 136 + 193*j**2 = 0. What is j?
-95, -2, 1/2
Let u = 1454/3555 - -14/395. Let m be 2/6*18/27. Factor m*z**2 + u*z + 0.
2*z*(z + 2)/9
Let h = -128 - -124. Let o be 4*105/432 + h/18. Determine t, given that 3/4*t**4 - 3/4*t**2 + 0 + 3/4*t**3 - o*t = 0.
-1, 0, 1
Let h = -439 - -441. Suppose 96 = h*z + 88. Solve 0*c + 0 + 0*c**2 + 2*c**z - 4/3*c**5 - 2/3*c**3 = 0.
0, 1/2, 1
Let d(m) = 137*m - 4656. Let y be d(34). Let s(b) be the first derivative of -10/9*b**3 - 17/6*b**y - 8/3*b + 44 - 1/12*b**4. Suppose s(w) = 0. Calculate w.
-8, -1
Suppose 0 = -m - 5*m + 84. Let h(l) = 2*l - 8. Let d be h(m). Factor -d*s**2 + 20*s - 11*s - 13*s.
-4*s*(5*s + 1)
Let w(k) be the third derivative of -k**6/60 - 22*k**5/15 - 29*k**4/12 + 11774*k**3/3 + 2630*k**2. Find f such that w(f) = 0.
-29, 14
Factor -45*v**2 + 10*v**4 - 15*v**4 - 280*v**3 + 330*v**3.
-5*v**2*(v - 9)*(v - 1)
Let q(y) be the first derivative of -y**6/2 + 264*y**5/5 - 3033*y**4/2 + 3784*y**3 - 5547*y**2/2 + 127. Solve q(z) = 0.
0, 1, 43
Let q(i) be the third derivative of 0 + 5/6*i**3 - 3*i**2 + 4*i - 205/8*i**4 - 68921/24*i**6 + 1681/4*i**5. Factor q(f).
-5*(41*f - 1)**3
Let u(q) = 3*q**2 - 649*q + 8688. Let w be u(202). Suppose -65*a - 9*a**w - 169/3 - 1/3*a**3 = 0. What is a?
-13, -1
Suppose -2*s = -s - 4. Let u be -1*(-8)/s - -4. Find c such that -6*c**2 - 3*c**2 + u*c**2 + 3 = 0.
-1, 1
Determine q so that -192*q**5 + 65*q - 117*q**2 + 331*q**4 - 171*q - 39*q**4 - 191*q + 789*q**3 + 44*q**4 + 81 = 0.
-1, 3/8, 3
Let k(l) be the third derivative of l**5/15 - 29*l**4/3 + 224*l**3/3 - 5*l**2 + 11*l. Factor k(r).
4*(r - 56)*(r - 2)
Let u(x) be the second derivative of 169*x**4/6 + 286*x**3/3 + 121*x**2 + 344*x - 2. Find h such that u(h) = 0.
-11/13
Let x be 22 + 20/75*5240/(-64). Factor -1/6*t**3 + 1/6*t + x - 1/6*t**2.
-(t - 1)*(t + 1)**2/6
Let l(p) = -2*p**4 + 4*p**3 - p**2 - 1. Let u(b) = -13*b**4 - 10*b**3 - 130*b**2 - 120*b - 6. Let t(m) = 6*l(m) - u(m). Factor t(s).
s*(s + 2)**2*(s + 30)
Suppose -85 = 5*q - 5*k - 90, -3*q = 4*k - 10. Let l(p) be the first derivative of 2*p + 1/2*p**3 - 1 + 2*p**q. Factor l(c).
(c + 2)*(3*c + 2)/2
Factor 2/23*c**2 - 208/23 - 44/23*c.
2*(c - 26)*(c + 4)/23
Let j be 7/((-14)/(-4)) - (2 + -8). Let w be 2 - -9*j/(-144). Suppose -u - 7*u**3 + 8*u**2 + w*u**4 - 3/2 = 0. Calculate u.
-1/3, 1, 3
Let j(f) be the third derivative of -1/600*f**6 + 0 + 0*f - 1/100*f**5 + 3/40*f**4 - 1/6*f**3 + 132*f**2. Factor j(z).
-(z - 1)**2*(z + 5)/5
Suppose 0 = -3*o + 15*o + 9384. Let a = o + 785. Factor 0 - 5/3*d**4 + 5/3*d**2 + 5/3*d**5 + 0*d - 5/3*d**a.
5*d**2*(d - 1)**2*(d + 1)/3
Let k(x) be the first derivative of -x**6/1440 + 3*x**5/80 - 27*x**4/32 + 2*x**3/3 - 4*x**2 - 83. Let v(f) be the third derivative of k(f). Factor v(p).
-(p - 9)**2/4
Let y(r) = r**2 + 43*r - 588. Let o be y(11). Let j(q) be the first derivative of -6/35*q**5 + 0*q - 1/14*q**o + 20 + 0*q**2 + 0*q**3 - 3/28*q**4. Factor j(x).
-3*x**3*(x + 1)**2/7
Let f = -31700 - -31700. Let k(b) be the first derivative of 0*b**2 + f*b - 5/18*b**6 + 2/3*b**5 + 16 + 5/3*b**4 - 40/9*b**3. Determine v so that k(v) = 0.
-2, 0, 2
Let q(v) be the second derivative of 11*v**6/120 + 189*v**5/80 + 37*v**4/2 + 56*v**3/3 - 192*v**2 + 5351*v. Determine i so that q(i) = 0.
-8, -24/11, 1
Let o(t) be the second derivative of -5/2*t**2 + 0 - 1/60*t**5 + 1/12*t**4 + 13/18*t**3 + 86*t. Factor o(q).
-(q - 5)*(q - 1)*(q + 3)/3
Let t(d) be the second derivative of -3/35*d**5 - 14*d + 0*d**2 + 2/147*d**7 - 1/21*d**4 + 4/21*d**3 + 1 + 2/105*d**6. Solve t(c) = 0 for c.
-2, -1, 0, 1
Let m be (((-20)/(-42))/(1020/(-14688)))/(2*-1). What is j in 0 - 3/7*j**5 - 6/7*j**4 + 27/7*j + m*j**3 + 54/7*j**2 = 0?
-3, -1, 0, 3
Let p(f) be the third derivative of -f**7/2520 - f**6/80 + f**5/18 - 4*f**2 + 2*f + 168. Factor p(i).
-i**2*(i - 2)*(i + 20)/12
Let d(w) = -575*w + 575. Let c be d(1). Let v(i) be the second derivative of 37*i - 5/4*i**4 - 6*i**2 + c + 6*i**3. Solve v(h) = 0.
2/5, 2
Let q = 124 + -128. Let u(y) = 4*y**4 - 4*y**3 - 41*y**2 - 11*y - 11. Let s(b) = b**4 - b**3 - 14*b**2 - 4*b - 4. Let t(v) = q*u(v) + 11*s(v). Factor t(m).
-5*m**2*(m - 2)*(m + 1)
Let r(n) = -15*n**2 + 123*n - 362. Let j(b) = 11*b**2 - 122*b + 363. Let d(w) = 4*j(w) + 3*r(w). Factor d(y).
-(y - 3)*(y + 122)
Let x = 859730 - 6877839/8. Factor x*g**3 + 0 - 7/8*g**2 - g.
g*(g - 8)*(g + 1)/8
Let t(h) be the third derivative of -19*h**6/600 - 23*h**5/30 - 233*h**4/120 - 11*h**3/15 + h**2 - 1521. What is g in t(g) = 0?
-11, -1, -2/19
Let z(y) = -y**3 - 2*y**2 - 22*y - 118. Let l be z(-4). Let b(p) be the first derivative of 10*p + 5/3*p**3 + 15/2*p**l - 17. Factor b(t).
5*(t + 1)*(t + 2)
Let m(o) = -28*o**2 + 17371*o + 4968. Let t(j) = -j. Let z(i) = m(i) - 9*t(i). Factor z(c).
-4*(c - 621)*(7*c + 2)
Suppose 2*n - 4*n = u - 9, 3*u = -5*n + 23. Let -8*i**5 + 4 - 2*i**5 - n - 14*i**3 + 72*i**4 = 0. What is i?
0, 1/5, 7
Let x(c) be the third derivative of -2*c**7/105 + c