 - 6*s**2 + 0 - 3/20*s**5 + 2*s**q. Solve n(w) = 0.
-2, 1, 2
Let l(p) = p**2 - 3*p - 2. Let s(j) = -5*j**2 + 15*j + 9. Let h be 3/(-9) + 28/21. Let d = 3 - h. Let r(a) = d*s(a) + 11*l(a). Solve r(b) = 0 for b.
-1, 4
Let t(r) = -6*r**2 - 6. Suppose -3*o + 14 = -4*k - 9, 0 = 2*o + 3*k - 4. Let w(y) = y**2 + y. Let n(f) = o*w(f) + t(f). Factor n(p).
-(p - 3)*(p - 2)
Let s = 2/305375 + 183221/610750. What is b in 2/5 - 7/10*b**2 + 2/5*b - 2/5*b**3 + s*b**4 = 0?
-1, -2/3, 1, 2
Let w(r) be the second derivative of r**6/105 - 11*r**5/70 + 4*r**4/7 + 4*r**3/21 - 32*r**2/7 - 37*r + 33. Factor w(f).
2*(f - 8)*(f - 2)**2*(f + 1)/7
Suppose r - 4*u = 2504, 2*u - 5*u = 4*r - 10092. Let h be (-1)/(-8) - (-693)/r. Find o such that 26/5*o**3 + h*o**5 - 24/5*o**2 - 12/5*o**4 + 0 + 8/5*o = 0.
0, 1, 2
Let t be 7 - 0/(6/3 + 1). Let h be (-1)/t*(-2436)/261. Solve 0*c + 8*c**3 + 0 + 9*c**5 - h*c**2 - 15*c**4 = 0 for c.
0, 1/3, 2/3
Let r(w) be the third derivative of w**6/40 + 23*w**5/20 + 10*w**4 + 38*w**3 - 1076*w**2. Factor r(p).
3*(p + 2)**2*(p + 19)
Let a = -303633 - -2125435/7. Solve a*n**2 - 136/7 - 132/7*n = 0 for n.
-1, 34
Let k(u) be the first derivative of -32*u**4 - 416*u**2 + 156 + 2/3*u**6 - 4/5*u**5 + 448*u + 544/3*u**3. Factor k(p).
4*(p - 2)**4*(p + 7)
Let w = -1226/19 - -15976/247. Find r such that -w*r - 4/13*r**4 + 8/13*r**2 - 4/13 - 2/13*r**5 + 4/13*r**3 = 0.
-2, -1, 1
Let k(q) be the first derivative of q**4 - 2/15*q**6 + 0*q**3 + 28*q - 1 + 2/5*q**5 + 0*q**2. Let y(g) be the first derivative of k(g). Solve y(j) = 0.
-1, 0, 3
Factor -475*g**2 + 72 + g**3 + 0*g**3 + 5*g**3 + 543*g**2 + 134*g.
2*(g + 1)*(g + 9)*(3*g + 4)
Solve 8425/2*x**2 - 105/2*x**4 + 4320*x + 1458 + 1/2*x**5 + 2595/2*x**3 = 0 for x.
-1, 54
Let a = 5 + -1. Factor 96*x - 8*x**3 - 13*x**2 - a*x**4 - 576 + 109*x**2 - 4*x**2.
-4*(x - 3)**2*(x + 4)**2
Let r = 3965/29 - 11431/87. Factor -80*c - 384 + 4/3*c**3 + r*c**2.
4*(c - 8)*(c + 6)**2/3
Let f(o) be the first derivative of -22/3*o**3 + 0*o - 1/2*o**4 - 10*o**2 - 38. Suppose f(r) = 0. Calculate r.
-10, -1, 0
Suppose 0 = -4*d + 3*d - 47. Let h = 53 + d. Factor -4 - 5*w**2 - h*w**2 + 12*w**2.
(w - 2)*(w + 2)
Suppose 4*n = n + 15. Let o(x) = 5*x**4 - 5*x**3 - 5*x**2 - 5. Let r(k) = -2*k**4 + 3*k**3 + 2*k**2 + 3. Let c(z) = n*r(z) + 3*o(z). Factor c(j).
5*j**2*(j - 1)*(j + 1)
Factor -824/3 - 2888/3*c - 14/3*c**2.
-2*(c + 206)*(7*c + 2)/3
Find l such that -10/17*l**4 - 706/17*l**3 - 7070/17*l + 4900/17 - 12666/17*l**2 = 0.
-35, -1, 2/5
Let k be (8 - (1 - 37/(-5)))/(2/(-70)). Let o(d) be the first derivative of -3/4*d**4 + 1/5*d**5 - 5/3*d**3 - k + 1/6*d**6 - d**2 + 0*d. Factor o(m).
m*(m - 2)*(m + 1)**3
Let n(w) be the first derivative of -3*w**5/130 + 5*w**4/39 - 4*w**3/39 - 108*w**2 + 32. Let k(i) be the second derivative of n(i). Factor k(t).
-2*(t - 2)*(9*t - 2)/13
Let z(p) = 7*p**2 - 2*p + 1. Let u(s) = 2898*s**2 + 977*s - 11. Let q(k) = u(k) + 6*z(k). Factor q(m).
5*(3*m + 1)*(196*m - 1)
Factor -536 + 802/3*s**2 - 2/3*s**3 + 808/3*s.
-2*(s - 402)*(s - 1)*(s + 2)/3
Suppose -6*a = -5*a - 3. Factor a*c**4 - 5*c**2 - 30*c**3 + 16*c**2 + 23*c**2 - 7*c**2.
3*c**2*(c - 9)*(c - 1)
Suppose 9 = 29*l - 132 - 33. Let s(m) be the first derivative of 3*m**2 - 3 + l*m + 1/2*m**3. Factor s(u).
3*(u + 2)**2/2
Let n = -300118 + 600245/2. Determine p so that 39/2*p**3 - n*p**2 + 6*p**5 + 0 - 24*p**4 + 0*p = 0.
0, 1/2, 3
Let n(p) be the second derivative of 0*p**5 + 0*p**4 + 1/3240*p**6 - 5/6*p**3 + 0*p**2 + 0 + 7*p. Let k(r) be the second derivative of n(r). Factor k(l).
l**2/9
Let w(h) be the third derivative of -h**8/56 + 9*h**7/10 + 33*h**6/40 - 8*h**5/5 - 111*h**2 - 7*h. Let w(p) = 0. Calculate p.
-1, 0, 1/2, 32
Let j be 12/(-42)*1 - (-2)/7. Let i(k) be the third derivative of -11/140*k**5 + j*k + 0 + 3*k**2 - 1/120*k**6 - 3/28*k**4 + 4/21*k**3. Solve i(d) = 0.
-4, -1, 2/7
Let q(b) be the third derivative of 0*b + 86*b**2 + 0 + 1/420*b**5 - 25/168*b**4 + 23/21*b**3. Suppose q(t) = 0. Calculate t.
2, 23
Suppose -3*h - 51 = 3*x, -2*x - 396 = 3*h - 364. Factor 784/5 + 4/5*d**h - 112/5*d.
4*(d - 14)**2/5
Let w(f) = -15 + 8 + 17*f**3 + 3*f**2 + 25 - 7*f + 0 - 2*f**2. Let o(r) = -2*r**3 - r**2 - 2. Let h(q) = 36*o(q) + 4*w(q). Find k, given that h(k) = 0.
-7, -1, 0
Find v such that 135*v - 90*v**2 + 63/4*v**4 - 12 - 195/4*v**3 = 0.
-2, 2/21, 1, 4
Suppose r = -4 + 10. Suppose 4*u - 66 = -r. Factor -2*f**3 - 6 + 10*f**3 + 3*f**4 - u*f - 9*f**2 - 5*f**3.
3*(f - 2)*(f + 1)**3
Let b(m) be the third derivative of 11/24*m**4 - 57*m**2 + 1/3*m**3 + 0 + m + 3/20*m**5. What is o in b(o) = 0?
-1, -2/9
Let f(k) be the second derivative of -103/5*k**3 + 18*k**2 - 3 + 28/3*k**4 + 3*k - 1/2*k**5. Suppose f(h) = 0. What is h?
3/5, 10
Let m(d) = -2*d**2 + 11*d + 17. Let f be m(7). Let o be f/3*51/(-68) - -3. Suppose 116*h**4 + h**5 - 2*h**5 - 118*h**o = 0. Calculate h.
-2, 0
Let t be 4*3/6 + (-74)/(-2). Let -4*z**4 + t*z - 65*z + 16*z**3 - 20*z**2 + 34*z = 0. What is z?
0, 1, 2
Let v(y) = -y**3 - 7*y**2 - 3*y - 52. Let k be v(-16). Suppose 0*d - 10*d = -k. Factor 431 - 3*a**2 + 8*a**2 + 59 + d - 120*a.
5*(a - 12)**2
Let y be (12/16)/(5/20). Suppose 0 = 4*f + y*q, 4*f - q + 2 = 6*f. Factor -3*m**4 + m**f + 2 + 4*m**4 + 2*m**2 - m + m**2 - 6*m**2.
(m - 1)**2*(m + 1)*(m + 2)
Let i = -433/5 + 87. Let k = -947/7 + 4749/35. Solve 0*c + 0 + k*c**3 - i*c**2 = 0.
0, 1
Let k(j) be the first derivative of 1/5*j**3 + 3/20*j**4 - 12/5*j**2 - 36/5*j - 83. Find c, given that k(c) = 0.
-2, 3
Let n(t) be the first derivative of 5*t**3/12 - 1715*t**2/4 + 588245*t/4 - 427. Find s such that n(s) = 0.
343
Let a(r) be the third derivative of 0*r - 1/105*r**5 + 1/8*r**4 - 1/840*r**6 + 0 - 94*r**2 + 0*r**3. Suppose a(x) = 0. Calculate x.
-7, 0, 3
Let y(r) = 16*r + 24. Let z be y(-5). Let d = 80 + z. Factor 19 + 5*g**2 - 5*g**2 - d*g + 1 + 4*g**2.
4*(g - 5)*(g - 1)
Let l(w) be the first derivative of -1/18*w**6 - 8/9*w**3 - 220 - 16/3*w**2 + 2/15*w**5 + 0*w + w**4. Solve l(s) = 0 for s.
-2, 0, 2, 4
Let i(w) be the second derivative of w**7/189 + 2*w**6/135 - w**5/90 - w**4/27 + 11*w - 4. Suppose i(x) = 0. What is x?
-2, -1, 0, 1
Let v(b) be the third derivative of b**5/60 + 89*b**4/24 - 235*b**3/3 + 219*b**2 - 5*b. Factor v(j).
(j - 5)*(j + 94)
Suppose -554*r - j - 8 = -558*r, 5*r - 10 = -4*j. Factor -63/4*m - 1/4*m**3 + 49/4 + 15/4*m**r.
-(m - 7)**2*(m - 1)/4
Let j(l) be the first derivative of -l + 5/8*l**2 + 51 - 1/12*l**3. Factor j(o).
-(o - 4)*(o - 1)/4
Let c be 18036/5010*(2/12)/((-10)/(-50)). Let 0 + 0*p + 1/5*p**4 - 7/5*p**c + 2*p**2 = 0. What is p?
0, 2, 5
Let q(o) = -2*o**2 - 13*o - 2. Let t(k) be the second derivative of 0 - 3/2*k**2 - 2*k**3 - 1/4*k**4 + 8*k. Let h(f) = 2*q(f) - 3*t(f). Factor h(n).
5*(n + 1)**2
Let g(j) = -376*j**2 + 18048*j - 34598. Let q(s) = -s**3 + 3*s - 1. Let v(d) = g(d) - 2*q(d). Factor v(k).
2*(k - 93)**2*(k - 2)
Factor -3*p**2 - 71*p - 2*p - 141*p + 5*p**2 - 1356.
2*(p - 113)*(p + 6)
Let f = -155341/10 - -15535. Let b(t) be the second derivative of 0 + 11/60*t**4 - 1/100*t**5 + 8*t - 19/30*t**3 + f*t**2. Factor b(o).
-(o - 9)*(o - 1)**2/5
Let l be ((-872)/(-2289))/(2/4). Let 8/21*a - 2/21*a**5 - 2/21*a**3 + l - 20/21*a**2 + 8/21*a**4 = 0. Calculate a.
-1, 2
Let -74 + 2196*k**3 + 152 - 78 + 350*k**2 - 2201*k**3 = 0. Calculate k.
0, 70
Let m(d) = 5*d**3 + 72*d**2 - 411*d + 775. Suppose -12 = -81*u + 75*u. Let x(w) = -w**3 - 18*w**2 + 103*w - 194. Let g(s) = u*m(s) + 9*x(s). Factor g(f).
(f - 7)**2*(f - 4)
Let j be 752/20 + -16 - (-4)/10. Let c be (-8)/(-24) - (-6)/(-612)*j. Factor 0*u**3 + c*u**5 - 4/17*u**4 - 2/17*u + 0 + 4/17*u**2.
2*u*(u - 1)**3*(u + 1)/17
Determine p so that -9/2*p**3 - 1972*p**2 - 438*p + 0 = 0.
-438, -2/9, 0
Let -42626/9*p**2 - 8/9 - 1152*p**4 - 1160/9*p - 4640*p**3 = 0. Calculate p.
-2, -1/72
Let h be 6 - -3 - (-161)/(-21). Let l(u) be the first derivative of -2/9*u**3 + u**2 - 1/2*u**4 + 5 - 2/15*u**5 + h*u. Suppose l(p) = 0. Calculate p.
-2, -1, 1
Let w(x) = -x**2 - 8*x + 59. Let r be w(-12). Factor -450 + r*u**3 - 1442*u + 1411 + 543*u - 12*u**3 - 61*u**2.
-(u - 1)*(u + 31)**2
Let i be (0 + 76/361)/(6/57). Let s(v) be the first derivative of 1/22*v**4 + 0*v + 4/11*v**i - 20 + 10/33*v**3. Factor s(w).
2*w*(w + 1)*(w + 4)/11
L