/5*r**3 + 2/5 + 12/5*r**n = 0.
1
Let g(f) = -13*f**4 + 72*f**3 - 151*f**2 - 87*f + 119. Let n(o) = o**4 + 2*o**3 + 3*o**2 - o - 1. Let d(y) = -2*g(y) - 30*n(y). Solve d(c) = 0.
-52, -1, 1
Let j(w) = 122*w**2 - 861*w + 859. Let b(h) = -73*h**2 + 430*h - 429. Let v(g) = 5*b(g) + 3*j(g). What is k in v(k) = 0?
1, 432
Let j(h) = 41*h + 153. Let k be j(-4). Let i be (-35)/k + 3 + (-350)/110. Determine l, given that 1/2*l**4 + 3/2*l**i + 0 - 1/2*l**2 - 3/2*l = 0.
-3, -1, 0, 1
Let l(r) be the first derivative of 329 - 4/9*r**3 + 10/3*r**2 - 16/3*r. Find j such that l(j) = 0.
1, 4
Let k(z) be the first derivative of -z**4/54 + 2*z**3 - 81*z**2 + 149*z - 102. Let h(p) be the first derivative of k(p). Factor h(o).
-2*(o - 27)**2/9
Let d(k) be the first derivative of 4/39*k**3 - 13 + 7/26*k**4 - 1/13*k**6 + 4/65*k**5 + 0*k**2 + 0*k. Solve d(j) = 0 for j.
-1, -1/3, 0, 2
Let c(q) be the third derivative of q**6/900 - q**5/100 - q**4/15 + 55*q**3/3 + 190*q**2 - 1. Let r(a) be the first derivative of c(a). Let r(d) = 0. What is d?
-1, 4
Suppose 0 = 76*i + 209 - 476 + 115. Factor -4/3 - 2/3*o**i + 2*o.
-2*(o - 2)*(o - 1)/3
Let g(j) be the first derivative of j**4/8 + 1915*j**3/6 + 917763*j**2/4 + 915849*j/2 - 489. Suppose g(n) = 0. What is n?
-957, -1
Suppose 122*s**2 + 958*s**2 - 3*s**3 + 4471 - 4777 - 164*s**2 + 613*s = 0. What is s?
-1, 1/3, 306
Let i(v) = v**3 + v**2 + v + 1. Let y(w) = 24*w**2 + 2 - 472*w + 9 + 20*w**3 + 3 + 502*w. Let t(f) = -44*i(f) + 2*y(f). Determine m, given that t(m) = 0.
-2, 1, 2
Let y be (23 + -4)/(2 - 3). Let m = -16 - y. Factor -10*b**2 + 8*b + m + 7*b + 7.
-5*(b - 2)*(2*b + 1)
Let o(w) = w**3 - 10*w**2 + 40*w + 6. Let m(k) = 2*k**3 - 30*k**2 + 120*k + 17. Suppose -50*j = -33*j - 289. Let x(v) = j*o(v) - 6*m(v). Solve x(y) = 0.
-4, 0, 2
Suppose 2 = -5*t + 4*m, 40 = 5*t + 5*m + 15. Let s(x) be the second derivative of 0 - 1/18*x**4 + 0*x**t - 34*x - 1/9*x**3. Factor s(o).
-2*o*(o + 1)/3
Let g = 76 + -32. Determine b, given that 6*b - 26*b - 208*b**2 - 16 + 46*b**3 + 206*b**2 - g*b**3 = 0.
-2, -1, 4
Let a(r) be the second derivative of -r**4/24 - 41*r**3/4 - 121*r**2/2 - 100*r + 1. Factor a(p).
-(p + 2)*(p + 121)/2
Let d(v) = 5*v**3 + 20*v**2 + 45*v - 10. Suppose -4*k = -6 + 2. Let y be (2/(-10))/k - (-6)/5. Let o(m) = m - 1. Let s(p) = y*d(p) - 20*o(p). Solve s(x) = 0.
-2, -1
Determine p, given that -3/8*p**3 + 9855/8*p - 507/8*p**2 - 45441/8 = 0.
-187, 9
Let p(w) be the third derivative of w**9/756 - w**8/210 + w**6/45 - w**5/30 - 9*w**3 + 41*w**2 + 2*w. Let j(r) be the first derivative of p(r). Factor j(y).
4*y*(y - 1)**3*(y + 1)
Let l(t) be the second derivative of 1/60*t**6 - 15*t + 0*t**2 + 2 + 1/8*t**5 - 1/3*t**4 - t**3. Factor l(q).
q*(q - 2)*(q + 1)*(q + 6)/2
Let d(j) be the second derivative of -j**5/70 - 7*j**4/3 - 2041*j**3/21 - 12168*j**2/7 + 13*j - 77. Factor d(i).
-2*(i + 13)**2*(i + 72)/7
Let i(f) be the first derivative of 2/3*f**3 - 5*f**2 + 8*f - 89. Factor i(u).
2*(u - 4)*(u - 1)
Let l = -3829 - -3835. Let o(s) be the third derivative of -1/36*s**4 - 1/180*s**l - 10*s**2 + 0 + 0*s**3 + 0*s - 1/45*s**5. Factor o(p).
-2*p*(p + 1)**2/3
Let v be (-44)/(-90) - (-6)/(-27). Let b be 3/25*250/(-225)*-3. Suppose -v*f - b + 2/15*f**2 = 0. Calculate f.
-1, 3
Let f(k) = -4*k**3 - 52*k**2 + 40*k + 80. Let a(v) = 8*v**3 + 109*v**2 - 79*v - 162. Let r(q) = -4*a(q) - 9*f(q). Factor r(n).
4*(n - 2)*(n + 1)*(n + 9)
Let j(a) = -2057*a**2 - 7*a - 4. Let n(i) = 3*i**2 + 3*i + 1. Let v(k) = -j(k) - 4*n(k). Suppose v(x) = 0. Calculate x.
0, 1/409
Let l(y) be the third derivative of y**6/200 + 4*y**5/25 - 19*y**4/10 + 8*y**3 - y**2 + 746. Factor l(d).
3*(d - 2)**2*(d + 20)/5
Let b(j) be the first derivative of -5*j**4/16 + 2123*j**3/12 + 640*j**2 + 427*j + 670. Factor b(u).
-(u - 427)*(u + 2)*(5*u + 2)/4
Let t(g) be the third derivative of -1/1260*g**6 + 13*g**2 + 0*g + 0 + 3/2*g**3 - 1/140*g**5 + 1/21*g**4. Let l(p) be the first derivative of t(p). Factor l(b).
-2*(b - 1)*(b + 4)/7
Let o(j) = -j**2 + 2*j + 24. Let v be o(6). Suppose v*y**4 + 7*y**4 - 14*y**4 - 5*y**3 + 10*y**2 + 2*y**4 = 0. What is y?
-2, 0, 1
Let s(r) = r**4 - 6*r**3 + 11*r**2 - 9*r. Let j(l) = -7*l + 4. Let h(c) = -9*c + 5. Let x(m) = -4*h(m) + 5*j(m). Let y(n) = -s(n) - 3*x(n). Factor y(o).
-o*(o - 3)*(o - 2)*(o - 1)
Let l(z) = -3*z - 15. Let m be l(-9). Let o = m + -8. Determine h so that -232 + 232 - o*h**4 - 12*h**3 = 0.
-3, 0
Let u be 50/15*(-168)/20. Let h be ((-8)/u)/((-3)/(-42)). Determine b so that 11*b**2 - 3*b**5 - 10*b**h - 3*b**2 - b**5 + 4*b + 2*b**4 = 0.
-1, 0, 1
Suppose 10 - 26 = 2*k + 4*q, 3*k - 4 = q. Suppose 5*j - 15 = k, -2*j + 16 = 2*y + 2. Factor 36*z**3 + 3*z - 6*z - 48*z**2 + 28*z**y - 13*z.
4*z*(z - 1)*(z + 2)*(7*z + 2)
Let m(q) be the first derivative of -q**5/30 + q**4/6 - q**3/3 + 24*q**2 + 20. Let x(k) be the second derivative of m(k). Factor x(h).
-2*(h - 1)**2
Let x be (-10)/3 - (26 + -40 + 10). Let k(s) be the first derivative of -22 - 2*s**2 + 2*s + x*s**3. Factor k(c).
2*(c - 1)**2
Let k(t) = 14*t**2 + 31*t - 45. Let l(j) = -30*j + 5*j**2 + 22 + 29*j - 15*j - 11*j**2. Let c(f) = -2*k(f) - 5*l(f). Factor c(a).
2*(a - 1)*(a + 10)
Solve 12064*y - 4056 + 934/3*y**2 + 2*y**3 = 0 for y.
-78, 1/3
Let l(p) = -24*p**2 + 261*p + 36. Let y be l(11). Let v(i) be the first derivative of 9 + 9/14*i**2 + 6/7*i + 1/7*i**y. Solve v(w) = 0.
-2, -1
Let y be (0/3)/(3 - 0 - 6). Let y + 39*a + 36*a**2 + 42 - 39*a**2 = 0. Calculate a.
-1, 14
Factor 320/23*l**3 - 2/23*l**4 + 21760*l - 19056/23*l**2 - 212704.
-2*(l - 46)**2*(l - 34)**2/23
Let s(i) be the second derivative of -7*i**4/18 - i**3/3 + i + 70. Suppose s(g) = 0. Calculate g.
-3/7, 0
Suppose 3*c + 4*k - 131 = -129, 5*k - 2*k + 3 = 0. Factor 0*h + 0 + 33/8*h**3 - 3/8*h**5 + 3/2*h**4 + 9/4*h**c.
-3*h**2*(h - 6)*(h + 1)**2/8
Let x = -18/3487 - -3523/6974. Let l(h) be the first derivative of -10*h**3 - 250*h + 75*h**2 + x*h**4 + 15. Suppose l(f) = 0. Calculate f.
5
Factor 7280*y - 11233/3*y**2 + 70*y**3 - 10816/3 - 1/3*y**4.
-(y - 104)**2*(y - 1)**2/3
Let p(g) = 11*g - 7. Let v be p(8). Let s be v/(-108)*20/(-6). Let -5/4*c**5 + 1/2 + 9/4*c + s*c**2 - c**3 - 3*c**4 = 0. Calculate c.
-1, -2/5, 1
Let d(p) be the third derivative of -p**6/280 - p**5/5 - 71*p**4/56 + 50*p**3/7 - 418*p**2 + p. Let d(m) = 0. Calculate m.
-25, -4, 1
Let c(h) = 2*h**2 + 18*h + 2. Let p be c(-9). Find u, given that 42*u**2 + 100 - 17*u**2 - 20 - 4*u - 15*u**p - 14*u**2 = 0.
-5, 4
Let c(d) be the second derivative of -25*d**7/126 - 32*d**6/9 - 61*d**5/15 - 4*d**4/3 + 7*d - 21. Factor c(q).
-q**2*(q + 12)*(5*q + 2)**2/3
Suppose 66*a - 228 + 15 = 645. Factor 1/2*h**5 - a*h**3 + 2*h**4 - 31/2*h + 22*h**2 + 4.
(h - 1)**4*(h + 8)/2
Solve 421/4*d - 3*d**4 + 111*d**2 - 108 - 211/2*d**3 + 1/4*d**5 = 0 for d.
-16, -1, 1, 27
Let o = -6377 - -6377. Let j(z) be the third derivative of 0*z + 1/120*z**5 + 1/12*z**4 - 9*z**2 + o + 1/4*z**3. Solve j(q) = 0.
-3, -1
Let m(f) be the third derivative of -f**7/105 - 13*f**6/60 - 3*f**5/5 + 40*f**4/3 - 128*f**3/3 - 51*f**2 + 6*f. Find l such that m(l) = 0.
-8, 1, 2
Suppose 0 = -5*v + 11*v - 30. Suppose v = h + 1. Factor -6*b**2 - 7*b**2 + 17*b**2 + 4*b**3 + 4*b**4 - 8*b**2 - h*b.
4*b*(b - 1)*(b + 1)**2
Let l be (2/16)/((-35)/(322*-230)). Factor -l + 1/2*o**3 + 575/2*o - 47/2*o**2.
(o - 23)**2*(o - 1)/2
Let s(l) = 50*l - 48. Let z be s(1). Factor 4 + 14*f - 125*f**2 + 13*f**2 + 70*f**z + 17*f + 7*f.
-2*(f - 1)*(21*f + 2)
Factor 27/5*x**3 - 24/5 + 73/5*x - 15*x**2 - 1/5*x**4.
-(x - 24)*(x - 1)**3/5
Let z(i) be the second derivative of -i**6/240 + 13*i**5/160 - 11*i**4/96 - 13*i**3/48 + 3*i**2/4 + 57*i + 3. Factor z(w).
-(w - 12)*(w - 1)**2*(w + 1)/8
Let k(n) = 5*n**2 - 62*n + 648. Let o(i) = -11*i**2 + 125*i - 1342. Let v(l) = -13*k(l) - 6*o(l). Factor v(s).
(s - 6)*(s + 62)
Let a(v) be the first derivative of -v**6/3 + 34*v**5/5 - 34*v**4 + 200*v**3/3 - 48*v**2 - 4055. Solve a(i) = 0 for i.
0, 1, 2, 12
Suppose -5*v - 15 = -10*v. Suppose 2*i - v = 3*i, 4*j + 3*i = 3. Factor 6*x - 7*x + 3*x**2 + j*x**2 + 0*x**2.
x*(6*x - 1)
Let c(u) be the second derivative of -u**4/36 - 59*u**3/6 - 88*u**2/3 + 7*u - 21. Factor c(r).
-(r + 1)*(r + 176)/3
What is t in -142*t**2 + 0 + 1/2*t**5 - 45/2*t**3 + 18*t**4