+ 3*z**4 - 19*z**4 - 267*z**3 = 0.
-2, 0
Let -482/5*h - 32 - 6/5*h**2 = 0. Calculate h.
-80, -1/3
Factor -1444/5 + 874/5*q + 2/5*q**3 - 16*q**2.
2*(q - 19)**2*(q - 2)/5
Let q(s) = -4*s**2 - 11438*s + 11595. Let u(z) = 4*z**2 + 11440*z - 11580. Let i(m) = 8*q(m) + 9*u(m). Let i(t) = 0. Calculate t.
-2865, 1
What is p in 2/19*p**4 - 58/19*p + 58/19*p**3 - 336/19 + 334/19*p**2 = 0?
-21, -8, -1, 1
Let r be (-235)/(-10) + (-2)/4. Suppose r*l = 5*l. Factor -13/4*w**3 + l - 1/4*w**5 + 3*w**2 - w + 3/2*w**4.
-w*(w - 2)**2*(w - 1)**2/4
Factor -47*k**2 + 239*k + 46*k**2 - 70 + 310.
-(k - 240)*(k + 1)
Let y(p) be the third derivative of p**8/3696 + p**7/2310 - 9*p**6/440 - 27*p**5/220 - 9*p**4/44 + 4962*p**2. Suppose y(l) = 0. Calculate l.
-3, -1, 0, 6
Let s(l) = l**2 + 5*l + 6. Let a(k) = k**2 - 17*k - 22. Let y be a(18). Let q be s(y). Factor -104*n**3 + 109*n**3 - 5*n**5 + 7*n**q - 2*n**2 - 5*n**4.
-5*n**2*(n - 1)*(n + 1)**2
Let u be -10*((-147)/15 - 1). Factor 140*s**2 + 581*s + 463*s + u*s - 1296 + 4*s**3.
4*(s - 1)*(s + 18)**2
Let p(a) be the third derivative of a**8/168 - 3*a**7/35 - a**6/4 + 53*a**5/30 - 5*a**4/2 - 57*a**2 + a. Solve p(t) = 0 for t.
-3, 0, 1, 10
Let a(n) be the third derivative of n**8/4032 + 5*n**7/72 + 1225*n**6/144 + 21*n**5/20 + 76*n**2. Let c(u) be the third derivative of a(u). Factor c(o).
5*(o + 35)**2
Let m(f) be the second derivative of -f**9/3024 + f**8/560 - f**7/420 - f**3/6 - 15*f**2/2 - 10*f. Let n(k) be the second derivative of m(k). Solve n(v) = 0.
0, 1, 2
Suppose 0 = 7*w - 56 + 42. Factor -61*s**2 + 40*s**2 + 44*s + 23*s**w.
2*s*(s + 22)
Let y(s) be the first derivative of -4/3*s + 51 - s**2 - 2/9*s**3. Let y(n) = 0. What is n?
-2, -1
Let t(s) be the third derivative of -s**5/90 - 4*s**4/9 - 16*s**3/3 + 2*s**2 + 563*s. Solve t(b) = 0.
-12, -4
Suppose 1074*l + 1385*l = -60*l + 5038. Let l - 14/3*o + 4/3*o**2 = 0. Calculate o.
1/2, 3
Let v(y) be the first derivative of -y**5/15 - y**4/9 + 10*y**3/9 - 2*y**2 + 83*y + 109. Let h(r) be the first derivative of v(r). What is l in h(l) = 0?
-3, 1
Let r(f) = 48*f**2 + 5418*f - 1215018. Let l(z) = -27*z**2 - 2710*z + 607510. Let p(n) = -9*l(n) - 5*r(n). Find k, given that p(k) = 0.
450
Let y(g) be the second derivative of 5*g**7/56 - 31*g**6/40 + 99*g**5/40 - 13*g**4/4 + g**3 + 826*g. Let y(q) = 0. Calculate q.
0, 1/5, 2
Suppose -x + 9 = 4*i, x + 0 - 5 = 0. Let h be 894/8 - i/(-4)*1. What is b in -2*b**3 - h*b - 42*b**2 - 258 - 200 - 182*b - 228 = 0?
-7
Let o(p) be the second derivative of p**7/168 - 11*p**6/120 - 3*p**5/2 + 124*p**4/3 - 832*p**3/3 - 1307*p. Determine m, given that o(m) = 0.
-13, 0, 8
Let v(i) = 610*i + 4. Let c be v(3). Factor -2*a**5 + 1830*a**4 - c*a**4 - a + 4*a**2 + 3*a.
-2*a*(a - 1)*(a + 1)**3
Let a = -1132 - -1134. Let r(p) be the first derivative of -1/6*p**a - 2 - 1/2*p + 1/18*p**3. Factor r(h).
(h - 3)*(h + 1)/6
Let x(p) be the second derivative of p**4/6 + 11*p**3/3 + p - 4. Let y be x(-11). Suppose y*t**2 - 2/3*t**4 + 4/3*t**3 + 0*t + 0 = 0. Calculate t.
0, 2
Let q be (-24)/21 + (-7)/(-49) - -117. Determine u, given that 1279*u**2 + 22 - q*u - 1243*u**2 + 2 = 0.
2/9, 3
Suppose 0 = -3*x - x + 24. Let i(r) = r**3 - r + 3. Let c be i(3). Let -o**3 - x*o**2 + c*o - 63*o + 33*o - 2*o**3 = 0. What is o?
-1, 0
Let t(r) be the second derivative of 5/16*r**2 - 5/96*r**4 + 1/48*r**3 - r - 1/160*r**5 + 8. Factor t(h).
-(h - 1)*(h + 1)*(h + 5)/8
Factor 1/4*g**2 - 31/4 + 15/2*g.
(g - 1)*(g + 31)/4
Let t(b) be the second derivative of -b**4/20 + 17*b**3/5 - 5463*b. Factor t(s).
-3*s*(s - 34)/5
Let z(r) be the second derivative of r**6/50 - 9*r**5/100 - r**4/4 + 3*r**3/10 + 6*r**2/5 + 969*r. Find i such that z(i) = 0.
-1, 1, 4
Let s be 64/(-256)*((16/2)/2 - (-274832)/(-20)). Factor 322/5*f**3 + 2/5*f**4 + 297432/5*f + s*f**2 - 314928/5.
2*(f - 1)*(f + 54)**3/5
Let i(b) be the second derivative of -b**7/70 + 42*b**6/25 - 249*b**5/100 - 3823*b. Factor i(d).
-3*d**3*(d - 83)*(d - 1)/5
Let u(s) = 4*s**2 - 148*s - 146. Let j(o) = -50*o**2 + 1928*o + 1902. Let c(b) = 6*j(b) + 76*u(b). Factor c(x).
4*(x + 1)*(x + 79)
Let i be (-5 + -109 + 34)/(-4 + -4 + -5). Suppose 296/13*m + 2/13*m**3 - 288/13 - i*m**2 = 0. What is m?
2, 36
Suppose 105 = 134*v - 433 - 132. Let f(l) be the second derivative of 0*l**2 + 1/51*l**3 + 19*l + 0 + 1/170*l**v - 1/51*l**4. Let f(b) = 0. What is b?
0, 1
Determine n so that 0 + 94/9*n**3 + 2/9*n**4 + 0*n + 92/9*n**2 = 0.
-46, -1, 0
Suppose 12*j - 2*n = 17*j - 35, -5*j - 35 = -5*n. Solve 32/3*p**2 + 26/3*p - 20 + 2/3*p**j = 0 for p.
-15, -2, 1
Let q = -789 - -792. Let n(m) be the second derivative of -21*m - 1/2*m**4 + 0*m**2 + 1/20*m**5 + 0 + 3/2*m**q. Determine c so that n(c) = 0.
0, 3
Let q(j) be the first derivative of -j**4 - 284*j**3/3 - 2678*j**2 - 30420*j + 9449. Let q(k) = 0. Calculate k.
-45, -13
Let r = -250704 + 250709. Factor 1/2*t**r + 17/2*t**2 + 3/2*t**4 - 3*t - 15/2*t**3 + 0.
t*(t - 1)**3*(t + 6)/2
Let j(k) = k**2 - 27*k + 156. Let d be j(8). Let q be (d - 124/32) + 45/792. Find v, given that 4/11*v + q*v**2 - 6/11 = 0.
-3, 1
Let g(v) be the third derivative of -v**5/20 + 121*v**4/8 + 123*v**3 - 3*v**2 + 138*v. Let g(f) = 0. Calculate f.
-2, 123
Factor -2526/7*s - 3/7*s**2 + 0.
-3*s*(s + 842)/7
Let c = -37/40 + 23/24. Let s(z) be the second derivative of 0 - c*z**4 + 2*z - 1/15*z**3 + 0*z**2. Factor s(j).
-2*j*(j + 1)/5
Let s be 408/20 + -1 + 8683/(-457). Find o, given that 0 + 2/5*o**4 + 2/5*o**3 - s*o - 2/5*o**2 = 0.
-1, 0, 1
Factor -2*r**2 + 79 - 1170*r + 73 + 201 + 1066*r + 217.
-2*(r - 5)*(r + 57)
Let x(n) be the first derivative of -7*n**3/3 + 19*n**2/2 + 8*n + 20. Let a be x(3). Factor 3*s - 3/2*s**a + 1/4*s**3 - 2.
(s - 2)**3/4
Let b(k) be the first derivative of 5*k**7/42 + k**6/6 - 5*k**5/4 + 5*k**4/4 + 130*k - 116. Let r(w) be the first derivative of b(w). Factor r(g).
5*g**2*(g - 1)**2*(g + 3)
Let w(l) be the third derivative of -l**7/210 + l**6/20 - 13*l**5/60 + l**4/2 - 2*l**3/3 + 13*l**2 - 12. Factor w(v).
-(v - 2)**2*(v - 1)**2
Determine q, given that 8 - 1/3*q**4 - 26/3*q - q**2 + 2*q**3 = 0.
-2, 1, 3, 4
Let x(k) be the first derivative of -108*k + 229 - 24*k**2 - 4/3*k**3. Factor x(q).
-4*(q + 3)*(q + 9)
Let k be 6 + -18 + 27/(270/160). Solve -j**2 + 0*j**3 + 0 - 1/2*j + j**k + 1/2*j**5 = 0.
-1, 0, 1
Let q(o) = -3*o**4 + 147*o**3 - 675*o**2 + 1044*o - 501. Let z(m) = -3*m**4 + 146*m**3 - 673*m**2 + 1044*m - 506. Let u(a) = -2*q(a) + 3*z(a). Factor u(c).
-3*(c - 43)*(c - 2)**2*(c - 1)
Let r(j) = j**3 + 30*j**2 - 62*j - 2. Let a be r(2). Let t be 100/16 + 3 + -9. Factor 1/2*n + 0 + t*n**3 - 3/4*n**a.
n*(n - 2)*(n - 1)/4
Let i(g) = -17*g + 7*g**5 - 3 + 20*g**4 + 10*g**3 + 2 - 65*g**2 + 49*g**2. Let z(f) = -f**4 - f**3 + f**2 + f + 1. Let q(b) = 2*i(b) - 6*z(b). Solve q(y) = 0.
-2, -1, -2/7, 1
Let c(p) be the second derivative of p**5/170 + 67*p**4/51 + 256*p**3/3 - 544*p**2 + 33*p - 1. Suppose c(r) = 0. Calculate r.
-68, 2
Let k(h) = -5*h**2 + 2*h - 2. Let n(l) = -24*l**2 - 308*l + 640. Let x(s) = -4*k(s) + n(s). Factor x(a).
-4*(a - 2)*(a + 81)
Let m(s) = s**3 - s. Let k(c) = -10*c + 88. Let x be k(9). Let q(l) = l**4 + 10*l**3 - 11*l. Let g(z) = x*q(z) + 22*m(z). Determine w so that g(w) = 0.
0, 1
Let p(s) be the second derivative of s**4/3 - 206*s**3/3 - 856*s**2 + 569*s. Find y, given that p(y) = 0.
-4, 107
Let l(c) be the second derivative of 0*c**2 - 3/2*c**3 + 0 - 1/4*c**4 - 35*c. Factor l(w).
-3*w*(w + 3)
Factor -6*b**2 - 25/2*b + 4375/3 + 1/6*b**3.
(b - 25)**2*(b + 14)/6
Let y be 40/(-60) + 32/12. Factor 15 + 9*i**y - 3*i**3 - 8*i**2 + 6*i**2 + 31*i - 2*i**4 + 8*i**2.
-(i - 3)*(i + 1)**2*(2*i + 5)
Let w be -48*(-13)/52*(-6)/(-8). Suppose -10 = -3*z - i, 4*z + 4*i - 7 = w. Factor -4/9*h**z + 4/3*h**2 + 0*h - 16/9.
-4*(h - 2)**2*(h + 1)/9
Factor -345/4*j + 1/4*j**3 + 173/4 + 171/4*j**2.
(j - 1)**2*(j + 173)/4
Let z(t) be the first derivative of 174/13*t**2 - 2/39*t**3 - 15138/13*t - 291. Let z(w) = 0. Calculate w.
87
Let h = -44147/3 - -14716. Let m(p) be the first derivative of 4*p**2 - 1/6*p**6 + p**5 - h*p**3 - 7/4*p**4 - 4*p + 29. Solve m(f) = 0.
-1, 1, 2
Suppose -6*z = z + 1008. Let n = -430/3 - z. Factor 0 - n*p**2 + 2/3*p.
-2*p*(p - 1)/3
Let g(i) be the second derivative of -3*i**4/22 + 434*i