f 2*z**6 + 1156*z**5/5 - 203*z**4 - 1148*z**3 + 2320*z**2 - 1552*z - 3815. Let k(c) = 0. Calculate c.
-97, -2, 2/3, 1
Suppose 16*c - 12*c = -3*o - 1753, 2*c + 583 = -o. Let i = o + 1177/2. Find h, given that 21/4*h - i - 9/4*h**2 = 0.
1/3, 2
Let u(g) be the second derivative of -g**4/6 - 734*g**3/3 - 134689*g**2 - 133*g - 3. Factor u(q).
-2*(q + 367)**2
Let a = 12443/348 + -1020/29. Let l(v) be the first derivative of -1/20*v**5 + a*v**3 + 3*v - 5/2*v**2 + 28 + 1/8*v**4. Factor l(j).
-(j - 2)**2*(j - 1)*(j + 3)/4
Suppose 4*l - 4 = 4. Suppose -4*y - 6*y + 186*y**2 - 2 - 97*y**2 - 97*y**l = 0. What is y?
-1, -1/4
Let y be 22/(-1848)*-30*(6 - 22/5). Factor 108/7*j - 4 - 12/7*j**4 - 152/7*j**2 + 88/7*j**3 - y*j**5.
-4*(j - 1)**4*(j + 7)/7
Let d(n) = -2*n**4 - n**3 + 2*n**2 - n + 2. Let w(r) = 15*r**4 - 80*r**3 + 375*r**2 + 30*r - 2260. Let o(z) = -5*d(z) - w(z). What is m in o(m) = 0?
-2, 5, 9
Let u(n) be the second derivative of -n**4/42 + 32*n**3/7 + 97*n**2/7 - 2*n - 444. Factor u(q).
-2*(q - 97)*(q + 1)/7
Let n be (-19 - -10)/(-1 - 0). Suppose -n + 33 = 6*u. Factor 6*i**2 - 15*i**u + 7*i - 9*i**3 - 15*i + 8*i.
-3*i**2*(i + 1)*(5*i - 2)
Factor 2*m**4 - 240666*m + 321602 - 400934*m - 203784*m**2 + 522180*m**2 + 2186*m**3 - 586*m**3.
2*(m - 1)**2*(m + 401)**2
Let v = 503 - 439. Factor 68*q**3 + 10*q + 2*q - 262*q**4 - v*q**2 + 246*q**4.
-4*q*(q - 3)*(q - 1)*(4*q - 1)
Find u, given that -47*u**2 + 133*u**2 + 129 - 468*u - 47*u**2 - 42*u**2 + 342 = 0.
-157, 1
Let q(j) be the third derivative of -j**6/80 + 9*j**5/40 - 3*j**4/8 - 14*j**3 + j**2 + 626. Suppose q(y) = 0. What is y?
-2, 4, 7
Factor 61/4*v**2 - 1/4*v**4 + 0 + 55/4*v + 5/4*v**3.
-v*(v - 11)*(v + 1)*(v + 5)/4
Let r(h) be the third derivative of -21*h + 1/1008*h**8 + 5/18*h**3 + 1/72*h**4 + 0 - 1/18*h**5 + 1/126*h**7 - 1/180*h**6 - 2*h**2. What is p in r(p) = 0?
-5, -1, 1
Let r = -248413/4 + 62140. Solve 0*g + 0 + 3/4*g**4 + 21/2*g**3 + r*g**2 = 0.
-7, 0
Let r = -3920 + 23521/6. Let j(a) be the first derivative of 1/18*a**6 + 0*a - 1/6*a**4 + 0*a**5 + 19 + 0*a**3 + r*a**2. Factor j(b).
b*(b - 1)**2*(b + 1)**2/3
Let q = 3 + 7. Suppose -8*a + q*a = 192. Solve -419*x**3 + 7 + 423*x**3 + 57 + a*x + 36*x**2 = 0.
-4, -1
Let v(n) = n**2 + 20*n + 74. Let f be v(-15). Let g be (-2)/(-5*(-8)/60*f). Suppose -3*u**4 - g*u**3 - 6*u**3 + 3*u**2 - 15*u**3 + 24*u = 0. Calculate u.
-8, -1, 0, 1
Let o(l) be the second derivative of 0 - 4*l - 16/7*l**2 - 2/21*l**6 - 27/35*l**5 - 50/21*l**4 - 24/7*l**3. What is k in o(k) = 0?
-2, -1, -2/5
Let r(x) be the third derivative of 4*x + 0 - 5/24*x**4 + 1/30*x**6 + 0*x**3 - 1/10*x**5 + 1/336*x**8 - 4*x**2 + 1/35*x**7. Determine f, given that r(f) = 0.
-5, -1, 0, 1
Let -26*s**3 + 82*s**3 - 17*s**3 + 1112*s**2 - 35*s**3 = 0. Calculate s.
-278, 0
Factor 527*j + 517*j**2 + 550*j**2 - 483 - 2*j**3 - 1627*j**2 + 515*j**2 + 3*j**3.
(j - 23)*(j - 21)*(j - 1)
Let s be 1/((-68)/12) + (-4644)/(-1462). Factor 0*p**2 + 2/7*p**4 + 0 + 16/7*p**s + 0*p.
2*p**3*(p + 8)/7
Let k be (-4 + 2)*(9/2 - 4). Let h(q) = 15*q**2 + q + 1. Let b be h(k). Factor 122*w**3 - 131*w**3 + 0*w**5 - 27*w**2 + b*w**4 - 3*w**5.
-3*w**2*(w - 3)**2*(w + 1)
Let a(k) be the second derivative of k**9/68040 - k**8/30240 - k**7/11340 + k**6/3240 - 35*k**4/4 - 25*k. Let y(v) be the third derivative of a(v). Factor y(q).
2*q*(q - 1)**2*(q + 1)/9
Determine q so that -2/21*q**5 - 52/21*q**4 + 32/3 + 118/21*q**3 - 440/21*q + 152/21*q**2 = 0.
-28, -2, 1, 2
Let m(t) = -2*t**4 + 291*t**3 - 891*t**2 + 881*t - 297. Let i(o) = 22*o**4 - 3198*o**3 + 9802*o**2 - 9690*o + 3268. Let f(b) = -6*i(b) - 68*m(b). Factor f(y).
4*(y - 147)*(y - 1)**3
Let j(n) = n**3 + 1085*n**2 - 5451*n + 7. Let s be j(5). Solve -130/9*k**2 - 8/9*k**4 + s - 86/9*k**3 - 34/9*k = 0 for k.
-9, -1, 1/4
Let x(t) be the second derivative of -2*t**7/21 - 49*t**6/90 - 21*t**5/20 - 25*t**4/36 + t**3/6 + t**2/3 - 1077*t + 2. Solve x(g) = 0 for g.
-2, -1, -1/3, 1/4
Let a(o) be the first derivative of 0*o + 1/2*o**4 + 0*o**2 - 53 + 2/25*o**5 + 8/15*o**3. Solve a(z) = 0.
-4, -1, 0
Let c be ((-2496)/2816)/(8/264*-9). Factor 1/8*t**3 + 169/8*t + c*t**2 + 0.
t*(t + 13)**2/8
Let s(a) = a**2 + 1. Let o(j) = 4*j**4 - 4*j**3 - 6*j**2 + 4*j + 14. Let d = 140 - 139. Let m(w) = d*o(w) - 6*s(w). Factor m(t).
4*(t - 2)*(t - 1)*(t + 1)**2
Let x be 6/(-3 - -1)*(-8)/12. Suppose 0 = -8*q + 14 + x. Factor 19*n**2 + q + 4*n**3 - 2*n**3 - 8 - 13*n**2 - 2*n.
2*(n - 1)*(n + 1)*(n + 3)
Factor -5*i**4 - 6915*i**3 + 624*i**2 - 685*i + 741*i**2 + 6240*i**3.
-5*i*(i - 1)**2*(i + 137)
Suppose -11*t = -t + 220. Let f(p) = 0 + 3*p - p**2 + 0*p + 1. Let y(b) = -4*b**2 + 11*b + 5. Let l(x) = t*f(x) + 6*y(x). Factor l(w).
-2*(w - 2)*(w + 2)
Let p(b) be the third derivative of -b**8/100800 + b**7/2520 + 13*b**6/1200 + 43*b**5/12 - b**2 - 102. Let l(m) be the third derivative of p(m). Factor l(j).
-(j - 13)*(j + 3)/5
Let z = 65014 + -65010. Factor 44*a**3 - 1/2*a**z - 117128 - 1452*a**2 + 21296*a.
-(a - 22)**4/2
Let g be -7*15/210 - 1/(-2)*1. Let z(v) be the third derivative of -2/525*v**7 + 0*v**4 + 0 + g*v**5 - 23*v**2 + 0*v**3 - 1/75*v**6 + 0*v. Factor z(r).
-4*r**3*(r + 2)/5
Let a = -347 - -352. Solve 0*j**3 - 80*j**2 + 2*j**5 + 2*j**3 + j**3 + 74*j**2 - 5*j**a + 6*j**4 = 0 for j.
-1, 0, 1, 2
Let a(q) = -42*q**3 + 264*q**2 - 85*q - 17. Let u(y) = y**3 + 4. Let h(c) = a(c) + 6*u(c). Suppose h(x) = 0. Calculate x.
1/6, 7
Let f(p) = 20*p**3 - 58*p**2 + 54*p + 12. Let a(w) = 19*w**3 - 57*w**2 + 53*w + 10. Let r(q) = 6*a(q) - 5*f(q). Factor r(v).
2*v*(v - 2)*(7*v - 12)
Solve -7/5*x**3 - 436/5*x + 108/5 + 41*x**2 = 0 for x.
2/7, 2, 27
Let r(c) be the second derivative of 1/2*c**4 - 33/2*c**3 - 1/220*c**5 + 0 + 0*c**2 + 158*c. Factor r(i).
-i*(i - 33)**2/11
Let -9*q**5 - 63*q**3 + 79*q**2 - 141*q**2 - 178*q**2 - 182*q**3 - 136*q**3 + 144 + 156*q - 138*q**4 = 0. What is q?
-12, -2, -1, 2/3
Let 194/9*m + 16/3 + 152/9*m**2 + 2/3*m**3 = 0. Calculate m.
-24, -1, -1/3
Solve -v - 207/8*v**4 + 15/2*v**2 - 81/8*v**5 - 29/4*v**3 + 0 = 0.
-2, -1, 0, 2/9
Let s(g) be the first derivative of 7*g**4/5 - 524*g**3/15 - 664*g**2/5 - 336*g/5 + 5637. Find h such that s(h) = 0.
-2, -2/7, 21
Let j(p) be the first derivative of p**3 - 9*p**2 - 165*p - 618. Factor j(x).
3*(x - 11)*(x + 5)
Let w(h) be the first derivative of -2*h**3/3 + 66*h**2 + 710*h - 891. Solve w(f) = 0 for f.
-5, 71
Let h(t) be the first derivative of -22*t**2 + t**3 + 10*t**2 - 48*t - 32 + 3*t**2. Factor h(m).
3*(m - 8)*(m + 2)
Let r(p) be the third derivative of p**6/360 + 47*p**5/540 - 31*p**4/54 + 2*p**3/3 - 14928*p**2. Solve r(g) = 0 for g.
-18, 1/3, 2
Factor -176*q - 2160 + 1175*q - 2080*q**2 + 76*q**3 + 416*q**3 - 15*q**4 - 18*q**4 + 2553*q - q**5.
-(q - 6)*(q - 2)**3*(q + 45)
Let k(m) = 9*m**2 - 11*m - 12. Let y be k(-1). Let h = -8 + y. Factor 0*d - 2/13*d**4 + 6/13*d**3 + h - 4/13*d**2.
-2*d**2*(d - 2)*(d - 1)/13
Solve 4/15*o**3 - 126 - 134/5*o**2 - 624/5*o = 0 for o.
-3, -3/2, 105
Let o(x) = -x**3 - 5*x**2 + 7*x + 9. Let b be o(-6). Let l = -2018 - -2021. Factor 27*i**b - 2*i**4 - 64*i**3 + 31*i**l.
-2*i**3*(i + 3)
Let j(m) be the second derivative of -13*m**7/252 - 5*m**6/18 - m**5/24 + 10*m**4/9 - m**3/3 - 344*m. Suppose j(t) = 0. Calculate t.
-3, -2, 0, 2/13, 1
Let b be 3*6/(-9) + 4. Let -27*z**2 + 9*z**2 + 36*z**4 - 2*z**4 - 8*z - 46*z**3 - 22*z**b + 60*z**5 = 0. What is z?
-2/3, -1/2, -2/5, 0, 1
Let d = 193293/118184 + 9/10744. Solve 16/11*h + 2/11*h**3 + 0 - d*h**2 = 0.
0, 1, 8
Suppose 9 = 3*h - 2*c + 3, -4*c = -4*h + 12. Let o(g) = -g**2 - 3*g + 2. Let l be o(h). Factor -161*i**2 + 0 + 12 - 3 + 158*i**l - 6*i.
-3*(i - 1)*(i + 3)
Find o, given that 2811*o**2 + 1530*o**3 + 35711*o - 34203*o + 226 + 26 - 25*o**4 = 0.
-1, -2/5, 63
Let c = 6898741/13615 - 14288/389. Let s = c - 3063/7. Determine r so that 38/5*r**2 + s + 198/5*r + 2/5*r**3 = 0.
-9, -1
Let r(h) be the first derivative of 2*h**5/25 + 3*h**4/5 - 158*h**3/15 + 156*h**2/5 - 452. Factor r(i).
2*i*(i - 4)*(i - 3)*(i + 13)/5
Let i(u) be the first derivative of -u**3 - 21*u**2/2 + 54*u + 197. Factor i(j).
-3*(j - 2)*(j + 9)
Let j be 1*9/4*(-4)/(-5). Solve 6/5*z - 21/5*z**3 + 0 + 9/5*z**4 + 3*z**5 - j*z**2 = 0 for z.
-1, 0, 2/5, 1
Let q(v) be the third derivative of -1/20*v**5 - 