 + x*l + 0*l**2 + 6 - 2*l**5 - 10/3*l**3. Suppose j(z) = 0. Calculate z.
0, 1/2, 2
Factor -5*s**3 + 1447 + 40*s**2 + 1481 - 2898 - 65*s.
-5*(s - 6)*(s - 1)**2
Find c, given that -3/8*c**2 - 3/8*c**3 - 189/8 + 99/8*c = 0.
-7, 3
Suppose -3935*j = -4467 - 3403. Let -1/5*i**j + 4 - 19/5*i = 0. What is i?
-20, 1
Suppose 129 = -2*y + 135. Factor 3*t**3 + 2*t**y + 16*t + 16*t**2 + 7*t**3 + 8*t**3 - 16*t**3.
4*t*(t + 2)**2
Let l(t) be the second derivative of 0*t**4 + 241*t + 4/21*t**6 + 0*t**2 + 0*t**5 - 1/147*t**7 + 0*t**3 + 0. Factor l(p).
-2*p**4*(p - 20)/7
Suppose -5*o + 0*o = -45. Suppose -8*n - o = -1. Let g(k) = -k**2 + k. Let r(b) = b**2 - 16*b - 5. Let x(w) = n*r(w) - 6*g(w). Let x(z) = 0. Calculate z.
-1
Let h(q) be the second derivative of 1/60*q**5 + 6*q - 226981/6*q**2 - 61/12*q**4 - 16 + 3721/6*q**3. Factor h(v).
(v - 61)**3/3
Let k(a) be the third derivative of a**7/210 + a**6/12 + 29*a**5/60 + 4*a**4/3 + 2*a**3 - 3312*a**2. Factor k(q).
(q + 1)**2*(q + 2)*(q + 6)
Let c = -268 - -266. Let p be (0 + c)*(-255)/136. Suppose p*s**4 + 5/2*s - 15/4*s**2 + 0 - 5/4*s**3 - 5/4*s**5 = 0. What is s?
-1, 0, 1, 2
Let i be 17588/26382 - ((-13)/3 - 1). Factor -81/5*m**2 + 3*m**3 + i*m + 0.
3*m*(m - 5)*(5*m - 2)/5
Let r be (-445)/89 - (95 + -1). Let m be (-60)/5*11/r. Solve -m*o**3 + 0 + 16/3*o**2 - 16/3*o = 0.
0, 2
Factor 276/5*w**3 - 2/5*w**4 - 12258/5*w**2 + 188784/5*w - 935712/5.
-2*(w - 57)**2*(w - 12)**2/5
Let t(m) be the third derivative of -m**6/30 + 221*m**5/15 + 448*m**4/3 + 600*m**3 + 24*m**2 + 23. Solve t(v) = 0.
-2, 225
Factor 0 - 332/9*h**3 - 5832*h + 2/9*h**4 + 1602*h**2.
2*h*(h - 81)**2*(h - 4)/9
Let 194*u + 0*u**3 + 2*u**3 + 769285*u**2 - 1410*u - 770499*u**2 = 0. What is u?
-1, 0, 608
Find y such that 34*y + 115*y**2 + y**3 + 959*y + 905*y - 216*y + 1568 = 0.
-98, -16, -1
Let u(t) be the first derivative of t**5/15 + 4*t**4/3 - 40*t**3/3 + 43*t**2 - 4. Let l(o) be the second derivative of u(o). Suppose l(s) = 0. What is s?
-10, 2
Let b(u) = -u**3 - 11*u**2 - 3*u - 33. Let r be (105/(-10))/21 + (-21)/2. Let c be b(r). Factor -1/4*n**4 + 5/4*n**2 + c - 3/4*n - 1/4*n**3.
-n*(n - 1)**2*(n + 3)/4
Let j be (-2)/(-3) + 2/(-3). Suppose 0 = -91*r + 96*r + 3*i - 71, 0 = -5*r + 4*i - 48. Let j + 0*d**3 + 4/5*d - 6/5*d**2 + 2/5*d**r = 0. What is d?
-2, 0, 1
Let w(d) = -105*d**2 + 29688*d + 29265. Let o(v) = 11*v**2 - 3125*v - 3081. Let r(m) = 48*o(m) + 5*w(m). Factor r(q).
3*(q - 521)*(q + 1)
Let q(a) = a**2 - 14. Let b be q(4). Suppose -c + 0*u - b*u + 7 = 0, 5*c - 62 = -u. What is j in 218*j**3 - c*j**2 - 7*j**2 - 258*j**3 - 5*j**5 - 25*j**4 = 0?
-2, -1, 0
Let y(g) be the third derivative of g**6/660 - 8*g**5/55 + 31*g**4/44 - 46*g**3/33 - 107*g**2 + 8*g. Determine r, given that y(r) = 0.
1, 46
Let t(n) = -14*n**4 + 458*n**3 - 734*n**2 - 246*n + 4. Let g(s) = -28*s**4 + 916*s**3 - 1467*s**2 - 491*s + 10. Let x(o) = 2*g(o) - 5*t(o). Factor x(f).
2*f*(f - 31)*(f - 2)*(7*f + 2)
Let r(p) be the first derivative of p**6/24 - p**5/12 - 5*p**4/2 - 201*p**2/2 - 81. Let a(v) be the second derivative of r(v). Factor a(g).
5*g*(g - 4)*(g + 3)
Determine z so that -1150*z**2 - 648/5 - 680*z**3 - 622/5*z**4 - 3648/5*z + 28/5*z**5 = 0.
-2, -3/2, -1, -2/7, 27
Let f(u) be the second derivative of 1/180*u**5 + 1/24*u**4 + 11*u**2 + 0 - 2/9*u**3 - 10*u. Let j(n) be the first derivative of f(n). Factor j(s).
(s - 1)*(s + 4)/3
Let k(w) = -95*w**2 + 7035*w - 369. Let l be k(74). Factor -41/2*h + 10*h**2 + l.
(h - 2)*(20*h - 1)/2
Let y(s) = -5*s**2 + 585*s - 4360. Let b be y(8). Determine i so that b - 2/7*i**2 - 16/7*i = 0.
-8, 0
Suppose 0 = 2*f - 5*n - 389 + 411, 0 = 7*f - 3*n - 10. Factor 0*h - 3/5*h**f + 9/5*h**3 + 0 - 6/5*h**2.
-3*h**2*(h - 2)*(h - 1)/5
Suppose 2*f + 11 = -3*b, 0 = -5*f - 54*b + 56*b + 20. Let a(i) be the second derivative of 2/3*i**3 + 0 + 1/6*i**4 - 14*i + 0*i**f. Find z, given that a(z) = 0.
-2, 0
Let s(m) = -2*m**3 + 205*m**2 - 423*m + 44. Let n be s(2). Factor 0*j + 1/7*j**5 - 1/7*j**3 + 1/7*j**4 + 0 - 1/7*j**n.
j**2*(j - 1)*(j + 1)**2/7
Let l be 3 - 6/28*(-160)/(-12). Let j(a) = a**3 + 4*a**2 + 3*a. Let i be j(-2). Let 0 - l*y**i - 2/7*y = 0. What is y?
-2, 0
Let j(t) = 2*t**3 - 5*t**2 + 3*t. Let s be j(3). Let o = 21 - s. Factor 36*k**4 + 46*k**3 - 27*k**4 - 13*k**o + 18*k**2.
3*k**2*(k + 3)*(3*k + 2)
Let i be 4/(-5) - (-3)/(-15). Let q = i - -3. Factor 5*t + 0*t**2 - 23*t**q + 3*t**2.
-5*t*(4*t - 1)
Let z = 1916 - 1914. Let l(b) be the first derivative of 2/3*b - 2/9*b**3 + 0*b**z - 2. Factor l(x).
-2*(x - 1)*(x + 1)/3
Let y = 76862 - 9530713/124. Let p = 11/124 + y. Factor 3/8*q**2 - p + 3/8*q**3 - 3/2*q.
3*(q - 2)*(q + 1)*(q + 2)/8
Let i = 18507/16198 - -5/16198. Solve 8/7*u + 2/7*u**4 - 4/7*u**3 + i - 6/7*u**2 = 0.
-1, 2
Suppose -20 = -4*u, 5*a + 2*u - 4 = 31. Factor 4*v**5 - 38*v**4 + 4*v**5 - 6*v**a - 309*v**3 + 269*v**3.
2*v**3*(v - 20)*(v + 1)
Let g = 344907 + -1034497/3. Let 2/3*v - 142/3*v**3 - g*v**2 + 24*v**4 + 4 = 0. Calculate v.
-1, -1/4, 2/9, 3
Let b(v) be the first derivative of 27*v**5 - 285*v**4 - 2015*v**3/3 - 420*v**2 - 100*v + 1727. Find w such that b(w) = 0.
-1, -1/3, -2/9, 10
Let i(u) = 1565*u**2 - 8*u - 5. Let j be i(5). Find t, given that -j*t + 27 - 3*t**2 + 39080*t = 0.
-3, 3
Let l = -113729 - -113731. Let -18/5 - 3/5*r**l + 21/5*r = 0. What is r?
1, 6
Factor 457*i**3 + 735*i - 452*i**3 + 120*i**2 - 1635*i.
5*i*(i - 6)*(i + 30)
Suppose j + 1 + 9 = 0. Let z(k) = 63194*k**2 - 63197*k**2 - 3 + 3 + 2*k - 5*k**3. Let i(q) = 16*q**3 + 10*q**2 - 6*q. Let f(y) = j*z(y) - 3*i(y). Factor f(m).
2*m*(m - 1)*(m + 1)
Let t = -273 + 272. Let u be (-1)/t - (-11)/((-22)/(-6)). Determine l so that 0*l**2 + 5/2*l**u + 5*l**3 - 5/2*l**5 + 0*l + 0 = 0.
-1, 0, 2
Suppose -1/8*w**5 - 800 - 1560*w - 151*w**3 - 1841/2*w**2 + 75/8*w**4 = 0. Calculate w.
-2, -1, 40
Find i such that 148*i + 137969*i**3 - 138073*i**3 - 208*i**2 + 160 - 40*i + 48*i**4 - 4*i**5 = 0.
-1, 1, 5, 8
Let h = -362 + 366. Let o(l) = -11*l**2 - 57*l + 130. Let n(c) = 24*c**2 + 114*c - 261. Let u(a) = h*n(a) + 9*o(a). Determine t so that u(t) = 0.
-21, 2
Let k(a) = -7*a**3 - 572*a**2 - 17329*a - 60550. Let p(s) = 36*s**3 + 2861*s**2 + 86647*s + 302775. Let d(b) = -11*k(b) - 2*p(b). Factor d(l).
5*(l + 4)*(l + 55)**2
Let g(x) = -13*x**3 - 218*x**2 + 857*x - 659. Let h(v) = -18*v**3 - 291*v**2 + 1143*v - 879. Let u(b) = -15*g(b) + 11*h(b). Suppose u(f) = 0. What is f?
1, 4, 18
Let s(w) be the third derivative of w**5/36 - 571*w**4/48 + 57*w**3/4 + 1334*w**2 + 3. Find z such that s(z) = 0.
3/10, 171
Let c(d) be the third derivative of 0*d**4 + 4/189*d**7 - 2*d**2 - 1/756*d**8 - 6*d + 11/270*d**6 + 0*d**3 + 0 + 0*d**5. Factor c(v).
-4*v**3*(v - 11)*(v + 1)/9
Solve -33 - 15/4*f**3 + 3/4*f**5 + 165/4*f**2 - 33/4*f**4 + 3*f = 0.
-2, -1, 1, 2, 11
Let k be 2217/(-4) + 3 + -2 + -1. Let u = 555 + k. Determine c, given that 0*c**2 - u*c**5 + 0*c + 3/4*c**4 + 0 + 0*c**3 = 0.
0, 1
Suppose 0 = 11*j - 8*j - 24. Suppose 0 = 15*c - j*c - 28. Suppose -2/3*x - 1/3*x**5 + x**3 - 1/3*x**c + 0 + 1/3*x**2 = 0. What is x?
-2, -1, 0, 1
Let t(q) = 298*q**2 - 1787*q + 14. Let m be t(6). Solve 12/7*l**3 - m*l + 150/7 + 2/7*l**4 - 24/7*l**2 = 0 for l.
-5, 1, 3
Let n = 144902/5 + -28980. Factor 6/5*c**2 - 6/5 + n*c - 2/5*c**3.
-2*(c - 3)*(c - 1)*(c + 1)/5
Let s be -150*(-13 + 3377/264). Factor 0 + s*k - 25/2*k**2 + 5/4*k**3.
5*k*(k - 5)**2/4
Let l be -13*(390/50 - 8). Let o be (-12)/(-9) + -3 - 473/(-165). Factor 4/5*a**2 - 3/5*a**3 + l*a + o.
-(a - 3)*(a + 1)*(3*a + 2)/5
Let u(f) be the third derivative of 5*f**8/336 - 8*f**7/21 + 43*f**6/24 + 8*f**5 - 195*f**4/2 + 360*f**3 + 2200*f**2 + 2. Find j, given that u(j) = 0.
-3, 2, 3, 12
Let o(m) = -18*m**2 + 23*m - 4. Let u(q) = 27*q**2 - 36*q + 6. Let a(p) = -7*o(p) - 5*u(p). Factor a(b).
-(b - 2)*(9*b - 1)
Let w(o) = 10*o**2 + 68*o - 83. Let k(v) = -13*v**2 - 69*v + 66. Let f(c) = -3*k(c) - 4*w(c). Let f(g) = 0. Calculate g.
-67, 2
Let f(d) = -2*d**3 + 2*d**2 - d + 1. Let a(u) = 20*u**3 + 242*u**2 + 8955*u + 31743. Let p(k) = -a(k) - 9*f(k). Find c such that p(c) = 0.
-63, -4
Factor -2/3*v**2 + 16*v - 280/3.
-2*(v - 14)*(v - 10)/3
Let r(b) be the first derivative of -5*b**2 + 1/150*b**5 - 2*b + 1/15*b**4 + 7 + 1/5*b**3. Let u(w) be the second der