+ 2)**2
Factor -12/7*z**3 + 200/7*z + 0 - 30/7*z**2 + 2/7*z**4.
2*z*(z - 5)**2*(z + 4)/7
Suppose -2*m = 7*m + 162. Let l = m + 78. Determine y, given that 12*y + 55*y**2 + 5*y - 4 - l*y**3 - 1 - 7*y = 0.
-1/3, 1/4, 1
Factor 1/6*k**2 + 1/6*k - 12.
(k - 8)*(k + 9)/6
Suppose 762 = -6*h - 6*v + 8*v, -5*v = -4*h - 497. Let j be (17/((-544)/72))/(10/h). Solve -12 + 3*n**2 + j*n = 0.
-10, 2/5
Let j(t) = 2*t**3 - t**2 - 1. Suppose 3105 = a + 3106. Let m(l) = 3*l**4 - 19*l**3 - 64*l**2 - 99*l - 37. Let n(v) = a*m(v) - 5*j(v). Factor n(s).
-3*(s - 7)*(s + 1)**2*(s + 2)
Let h(d) be the first derivative of d**6/1260 - d**5/28 + d**4/6 + 4*d**3/3 + 5*d**2/2 - 96. Let p(z) be the third derivative of h(z). Factor p(a).
2*(a - 14)*(a - 1)/7
Let l be (-13)/78*10*-3. Let a(h) be the first derivative of -20/3*h**3 - 6*h**4 - 3*h**2 - 1/3*h**6 + 0*h - 12/5*h**5 + l. Find z such that a(z) = 0.
-3, -1, 0
Let y(r) = -r**5 - r**4 - r**3 - r**2 - 1. Let d(z) = -10*z**5 + 147*z**4 + 255*z**3 - 133*z**2 - 5. Let c(w) = d(w) - 5*y(w). Determine l, given that c(l) = 0.
-2, 0, 2/5, 32
Let r(g) be the second derivative of g**4/12 - 383*g**3/3 + 146689*g**2/2 - 1718*g. Solve r(m) = 0 for m.
383
Factor 2/7*h**2 + 40 + 78/7*h.
2*(h + 4)*(h + 35)/7
Let h = 56298 + -229135/4. Let a = 986 + h. Factor a*j**5 - j**2 + 1/4*j + 3/2*j**3 - j**4 + 0.
j*(j - 1)**4/4
Suppose b = 3*a - 19, 121*a = 124*a + b + 7. Factor 27/5*d**a - 4/5 + 52/5*d.
(d + 2)*(27*d - 2)/5
Suppose -5*w = v + 153, 4*v + 5*w = -509 - 148. Let d be (-1 + 3/7)/(48/v). Factor 0 + l**2 + 2*l + 3*l**d - 3*l**2 - 3.
(l - 1)*(l + 3)
Let g be ((-420)/10)/3 - -20. Let t(d) be the second derivative of 0 - 1/4*d**5 + 1/6*d**4 - 3/14*d**7 + 0*d**3 - 21*d - 8/15*d**g + 0*d**2. Factor t(z).
-z**2*(z + 1)**2*(9*z - 2)
Factor 11*f**3 - 16 - 34*f - f**3 - 14*f - 12*f**3 - 24 - 18*f**2.
-2*(f + 2)**2*(f + 5)
Let j(p) = p**3 + 3*p**2 + 4*p + 6. Let r be j(-2). Suppose r*u = 3*a + 10, -3*a = -u - 0*a + 8. Factor 2 - 3 + 0*d**5 - d**5 - d**4 - d + 2*d**3 + 0 + u*d**2.
-(d - 1)**2*(d + 1)**3
Let d(k) = -3*k**2 + 3*k + 10. Let a(y) = -6*y**2 + 6*y + 19. Let z = 54 + -50. Let b(v) = z*a(v) - 7*d(v). Determine w so that b(w) = 0.
-1, 2
Let w(n) be the first derivative of -5*n**4/12 - 5*n**3/3 + 106*n - 97. Let u(k) be the first derivative of w(k). Determine m, given that u(m) = 0.
-2, 0
Let g(r) be the second derivative of -r**5/160 + 147*r**4/32 - 999*r**3 - 36963*r**2/4 - 9134*r. What is p in g(p) = 0?
-3, 222
Let -1/3*l**4 + 1536*l - 704*l**2 + 0 - 94/3*l**3 = 0. What is l?
-48, 0, 2
Suppose 5*y - 7 = -2*h, 0 = -h - 3*y - 0*y + 2. Suppose -5*c + 8 = -4*c - 4*n, -3*n = -2*c + h. Solve -2/7*g**c + 6/7 - 16/7*g + 12/7*g**2 + 0*g**3 = 0 for g.
-3, 1
Suppose 0 = -4*h + 3*l + 57, 35*h = 39*h - l - 67. Let k be h/81 + 5/(135/48). Factor -3/5*r**k + 0*r + 0 + 4/5*r**3.
r**2*(4*r - 3)/5
Let 11*l**2 + 288 - 4*l**2 - 14*l**2 + 66*l + 10*l**2 = 0. What is l?
-16, -6
Let y(q) be the second derivative of -q**6/25 - 3*q**5/10 - 4*q**4/5 - 4*q**3/5 - q + 2. Factor y(x).
-6*x*(x + 1)*(x + 2)**2/5
Let g(z) be the third derivative of -1/144*z**4 + 0 + 0*z + 0*z**3 + 1/180*z**5 - 81*z**2. Find r, given that g(r) = 0.
0, 1/2
Let f = 343 + -341. Suppose -3*s + 43 = -f*v + 34, 2*v = 0. What is k in 0*k + 2/3*k**4 - 2*k**s + 4/3*k**2 + 0 = 0?
0, 1, 2
Let c(g) be the third derivative of 1/70*g**7 + 0*g**3 + 179*g**2 + 0 + 1/60*g**5 + 0*g + 0*g**4 - 1/336*g**8 - 1/40*g**6. Factor c(f).
-f**2*(f - 1)**3
Let y(z) be the third derivative of 4*z**4 + 0*z + 1/60*z**6 - 13/30*z**5 - 12*z**3 + 0 - 40*z**2. Factor y(l).
2*(l - 6)**2*(l - 1)
Let n(z) = 33 + 3*z**2 + 42 - 53*z - 38*z + 13*z. Let t(g) = -3*g**2 + 77*g - 74. Let w(j) = -5*n(j) - 6*t(j). Factor w(y).
3*(y - 23)*(y - 1)
Let m(j) be the third derivative of j**8/1008 + 23*j**7/315 + 11*j**6/20 - 73*j**5/45 - 199*j**4/72 + 41*j**3/3 + 2*j**2 - 584*j. Find d such that m(d) = 0.
-41, -6, -1, 1
Let i(d) be the third derivative of -11*d**5/48 + 5*d**4/96 + 25*d**3/12 - 1158*d**2. Determine p so that i(p) = 0.
-10/11, 1
Let n(d) be the second derivative of -1/78*d**4 - 5/39*d**3 + 0 + 106*d + 1/130*d**5 - 3/13*d**2. Factor n(v).
2*(v - 3)*(v + 1)**2/13
Let i(j) be the first derivative of 10*j**3/27 + 677*j**2/9 + 60*j + 460. Solve i(l) = 0 for l.
-135, -2/5
Let t(a) be the second derivative of a**6/30 + 17*a**5/20 + 3*a**4 - 190*a**3/3 - 200*a**2 - 201*a + 1. Suppose t(b) = 0. What is b?
-10, -1, 4
Suppose -3*r - 2*r - 2*f + 23 = 0, 9 = -r + 3*f. Let s = -95245/19 + 5013. Solve 4/19*v**2 + 0 + 6/19*v**r - s*v**5 + 0*v**4 + 0*v = 0 for v.
-1, 0, 2
Let s(u) be the second derivative of u**5/90 + 11*u**4/18 + 86*u**3/27 - 40*u**2/3 - 856*u. Find p such that s(p) = 0.
-30, -4, 1
Let k = -804 - -1393. Let h = 2948/5 - k. What is o in -6/5 + h*o**2 + 3/5*o = 0?
-2, 1
Let h(p) be the second derivative of 3*p**5/20 + 144*p**4 - 577*p**3/2 - 2910*p. Suppose h(d) = 0. What is d?
-577, 0, 1
Determine j, given that -21/5*j**3 + 254/5*j**2 - 51*j + 22/5 = 0.
2/21, 1, 11
Let h(d) = d**4 - d**2 + d. Let w(x) = 1620*x**5 - 6485*x**4 - 7515*x**3 - 2830*x**2 - 450*x - 25. Let s(v) = -5*h(v) - w(v). Find u, given that s(u) = 0.
-1/3, -1/6, 5
Let o be 7*(567/1890 + (-19)/(-70)). Let p(i) be the first derivative of -55/2*i**2 - 48 + 15/4*i**o + 25/3*i**3 + 15*i. Find s such that p(s) = 0.
-3, 1/3, 1
Solve -54/5*b**2 - 4*b + 48/5 + 22/5*b**3 + 6/5*b**4 - 2/5*b**5 = 0.
-3, -1, 1, 2, 4
Let n(p) be the first derivative of 2*p**2 + p**3 - 4*p**2 + 273 - 4*p**2 - 9*p**2 + 27*p. Factor n(z).
3*(z - 9)*(z - 1)
Let l(v) be the third derivative of -5*v**8/1008 - 5*v**7/42 - 5*v**6/36 + 5*v**5/3 + 35*v**4/9 + 1367*v**2. What is c in l(c) = 0?
-14, -2, -1, 0, 2
Let h(z) = -6*z - 6*z + 0*z - 2*z**2 + 46 - 2*z. Let c(m) = -3*m**2 - 27*m + 91. Let u(y) = -2*c(y) + 5*h(y). Suppose u(s) = 0. Calculate s.
-6, 2
Let d = -25 - -19. Let i be d/(-4) + 12/24. Find o such that 7*o**2 + 3*o**4 - 3*o**2 + 12*o**3 - 6*o - 4*o**5 - i*o - 7*o**4 = 0.
-2, -1, 0, 1
Suppose 209 + 131 = -17*t. Let a be (-2)/t*(3 - 14/8). Suppose 1/8*j + 0 + 0*j**4 + a*j**5 + 0*j**2 - 1/4*j**3 = 0. Calculate j.
-1, 0, 1
Factor 1/2*q**2 - 715 + 43/2*q.
(q - 22)*(q + 65)/2
Let k = 194 + -191. Solve -192*m**k - 214*m**3 + 49*m**3 - 216*m**2 - 54*m - 128*m**4 + 69*m**3 = 0 for m.
-3/4, 0
Let q(j) be the first derivative of 2*j**3/21 + 90*j**2/7 - 950*j/7 + 10361. Solve q(o) = 0.
-95, 5
Let q(s) = -s**5 + 15*s**4 - 44*s**3 + 18*s**2. Let p(w) = w**5 - 15*w**4 + 45*w**3 - 17*w**2. Let l(h) = 6*p(h) + 7*q(h). Let l(z) = 0. Calculate z.
0, 1, 2, 12
Let m(k) = -2*k**2 - 7294*k - 6559457. Let g(t) = -2*t**2 - 7284*t - 6559454. Let x(w) = 5*g(w) - 4*m(w). Solve x(p) = 0.
-1811
Let n = 28 - 32. Let i be 16/(16/n) - -7. Factor -9 - 12*r + 8*r**2 + 15*r**4 + 2*r**i + 5*r**3 + 29*r**3 + 10*r**2.
3*(r + 1)**3*(5*r - 3)
Let q(z) be the second derivative of z**7/3780 + z**6/540 - z**5/54 + 74*z**3/3 - z - 1. Let v(p) be the second derivative of q(p). Solve v(c) = 0.
-5, 0, 2
Factor 976/7*v - 192/7 - 512/7*v**2 + 36/7*v**3.
4*(v - 12)*(v - 2)*(9*v - 2)/7
Let k(z) be the first derivative of z**5/180 - 13*z**2 - 3. Let j(g) be the second derivative of k(g). Factor j(t).
t**2/3
Let x(a) be the first derivative of 0*a - a**5 - 9 + 5/3*a**3 - 5/4*a**4 + 5/2*a**2. Factor x(w).
-5*w*(w - 1)*(w + 1)**2
Let q(j) be the third derivative of j**6/30 - 14*j**5/15 + 13*j**4/6 - 336*j**2. Factor q(h).
4*h*(h - 13)*(h - 1)
Factor -2/5*r**5 - 2/5*r + 4/5*r**2 - 2/5 - 2/5*r**4 + 4/5*r**3.
-2*(r - 1)**2*(r + 1)**3/5
Let b(h) be the third derivative of -h**6/120 + 71*h**5/12 + 3625*h**4/24 + 9125*h**3/6 + h**2 - 192. Let b(t) = 0. What is t?
-5, 365
Factor 2/9*g**4 + 0*g**3 + 0 - 4/3*g - 14/9*g**2.
2*g*(g - 3)*(g + 1)*(g + 2)/9
Let y(j) = -6*j**3 + 2567*j**2 - 1653801*j + 20. Let u(m) = -5*m**3 + 2568*m**2 - 1653800*m + 16. Let o(r) = 5*u(r) - 4*y(r). Let o(z) = 0. Calculate z.
0, 1286
Let k(z) be the third derivative of 7*z**7/120 - 133*z**6/480 + 19*z**5/80 + 25*z**4/96 + z**3/12 + 189*z**2 - 3*z. Determine f so that k(f) = 0.
-1/7, 1, 2
Let i = -14 + 18. Suppose 0 = -i*k - 77 + 85. Factor -k*f**2 + 23*f - 18*f + 30 - 3*f**2.
-5*(f - 3)*(f + 2)
Suppose m = 4*i + 2*m - 4, -5*i - 3*m = -12. Suppose -10*w - 6 = -13*w. Fact