o**4 + 12*o**3 - 42*o**2 + 19*o. Let c(l) = 5*l**4 + 13*l**3 - 43*l**2 + 21*l. Let j(n) = 3*c(n) - 2*x(n). Let j(b) = 0. Calculate b.
-5, 0, 1
Let q be 54/40 - ((-95)/(-20) + -4). Suppose -5*m - 3 = -13. Solve -6/5 + q*r**m - 3/5*r = 0 for r.
-1, 2
Let n(q) be the third derivative of q**4/2 - 4*q**3/3 - 27*q**2. Let w(r) = r**2 + 11*r - 7. Let a(s) = -5*n(s) + 4*w(s). Determine d so that a(d) = 0.
1, 3
Let m(v) be the second derivative of -10*v**6/9 - 32*v**5/3 - 286*v**4/9 - 64*v**3/3 - 6*v**2 - 2*v + 67. Find s such that m(s) = 0.
-3, -1/5
Factor -140/3*z - 130/3 - 5/6*z**3 - 85/6*z**2.
-5*(z + 2)**2*(z + 13)/6
Let w(s) = -41*s + 6. Let f be w(-3). Let j be f/78 + 6/(-39). Suppose 6*p**3 + 6*p - 3/2 - j*p**4 - 9*p**2 = 0. Calculate p.
1
Let z(y) be the third derivative of 2*y**5/15 - 13*y**4/36 + y**3/9 - 133*y**2 + y. Factor z(p).
2*(p - 1)*(12*p - 1)/3
Let d(l) = 146*l - 1455. Let r be d(10). Factor 0*f**4 - 1/3*f**r + 0*f**2 + 0*f + 0 + 1/3*f**3.
-f**3*(f - 1)*(f + 1)/3
Let m(k) be the third derivative of k**8/40320 + k**7/1680 + k**6/160 - 2*k**5/15 + 6*k**2. Let z(c) be the third derivative of m(c). Factor z(v).
(v + 3)**2/2
Factor 4*v - 3*v + 12 + v + 222*v**3 - 12*v**2 - 224*v**3.
-2*(v - 1)*(v + 1)*(v + 6)
Let l(d) = d**2 - 584*d - 42635. Let s(k) = 2*k**2 - 584*k - 42636. Let i(a) = -4*l(a) + 3*s(a). Suppose i(o) = 0. What is o?
-146
Suppose -z + 19 - 38*z**2 + z**3 - 48*z**2 + 67*z**2 = 0. Calculate z.
-1, 1, 19
Let z be 11500/690 - (-3 + 19). Determine b so that 7/9*b**4 - z*b**3 - 7/9*b**2 + 4/9*b**5 + 0 + 2/9*b = 0.
-2, -1, 0, 1/4, 1
Let z(r) be the first derivative of 5*r**3/3 + 75*r**2/2 + 70*r - 462. Let z(m) = 0. What is m?
-14, -1
Suppose 8*a + y - 22 = 5*a, -12 = -3*y. Let m(z) = -z**2 + 9*z - 15. Let d be m(a). What is r in 2 - r**d + 2*r - 2*r + 3*r = 0?
-1, 2
Let t(o) = o + 2*o**3 - 4*o**3 - 4*o**2 + 4 - 4*o. Let p(h) = -h**3 - 2*h**2 - 2*h + 2. Let r(y) = 5*p(y) - 3*t(y). Find s such that r(s) = 0.
-2, -1, 1
Let m = -44/247 + 1411/988. Factor 0*f - m*f**2 + 5/4.
-5*(f - 1)*(f + 1)/4
Let q = 2135 + -2131. Find s such that -4/5*s**3 + 0 - 1/5*s**q - 2/5*s - s**2 = 0.
-2, -1, 0
Let 59 - 42*u - 84 + 3*u**2 + 64 = 0. Calculate u.
1, 13
Let p be 2/(((-1)/4)/((-63)/840)). Factor p + 7/5*v + 1/5*v**3 + v**2.
(v + 1)**2*(v + 3)/5
Let i(q) = 7*q**4 + 11*q**3 + 26*q**2 - 2*q - 32. Let o(a) = -3*a**4 - a**2 - a. Let c(p) = 2*i(p) + 4*o(p). Solve c(v) = 0.
-8, -2, 1
Let u(w) be the third derivative of -w**6/30 - w**5/3 - w**4/2 + 6*w**3 - 62*w**2. Let u(k) = 0. Calculate k.
-3, 1
Let w = 271 - 267. Let v(s) be the first derivative of -5 + 28/45*s**5 - 10/27*s**3 + 0*s + 2/9*s**2 - 11/18*s**w. Suppose v(b) = 0. Calculate b.
-1/2, 0, 2/7, 1
Suppose 0 = -3*u - 2*u + 20. Suppose 2*j = -5*s + 2 + 5, 2*s + 2*j = u. Determine m so that -5*m**2 - 7*m**3 + s - 7*m + 15*m**2 - 2*m**3 + 5*m**2 = 0.
1/3, 1
Factor -57/2*u + 3/2*u**2 - 30.
3*(u - 20)*(u + 1)/2
Let t be 246/27 + 126/(-14). Suppose -2/3 + t*y**2 + 1/9*y = 0. Calculate y.
-3, 2
Let r be 48/40*10/4. Let z = 107/76 + -22/19. Let -1/4*k**r + 1/4*k + z*k**2 - 1/4 = 0. Calculate k.
-1, 1
Let q(n) = n**3 - 5*n**2 + 5*n - 2. Let c be q(4). Factor 8*o**4 - 842*o**c + 842*o**2 + 12*o**3 - 4*o.
4*o*(o + 1)**2*(2*o - 1)
Let p(m) be the third derivative of m**7/840 + m**6/120 - 3*m**5/40 + m**4/3 - 24*m**2. Let k(d) be the second derivative of p(d). Find h, given that k(h) = 0.
-3, 1
Let a(s) = s**3 + 6*s**2 + 3. Let j be (3 + 1)/(4/3). Let y(h) = h**3 + 5*h**2 + 2. Let b(u) = j*y(u) - 2*a(u). Suppose b(q) = 0. Calculate q.
-3, 0
Let x(j) = -20*j**4 - 421*j**3 + 3348*j**2 - 9733*j + 9545. Let a(z) = -3*z**4 - 70*z**3 + 558*z**2 - 1622*z + 1591. Let n(h) = -13*a(h) + 2*x(h). Factor n(v).
-(v - 59)*(v - 3)**3
Let o = 1111 - 5539/5. Find r, given that -52/5*r**2 - o*r**4 - 4/5 - 24/5*r - 48/5*r**3 = 0.
-1, -1/2
Let g be (-2 + (-1 + -2)/(-1))*2. Solve -11*m - g*m**2 - m**3 + 0*m**4 + 11*m + m**4 = 0.
-1, 0, 2
Let n be 14/(-30) - ((-801)/27 - -29). Determine d so that 0*d - n*d**2 + 0 - 1/10*d**3 = 0.
-2, 0
Suppose 2*n + 1 = 7. Suppose -6 = -n*u - 0. Factor c**2 + 1 + c - c - u*c.
(c - 1)**2
Let x(k) be the first derivative of -k**4/22 - 8*k**3/11 - 12*k**2/11 + 160*k/11 + 127. Let x(t) = 0. What is t?
-10, -4, 2
Suppose -16*j - 120 + 168 = 0. Let a(g) be the second derivative of -11*g + 0*g**j - 1/4*g**4 + 2/3*g**2 + 0. Solve a(n) = 0 for n.
-2/3, 2/3
Let h(k) be the second derivative of -k**4/3 + 236*k**3 - 62658*k**2 + 10*k - 4. What is w in h(w) = 0?
177
Suppose -5*l + 3*x + 24 = -0*x, -4*l = 5*x + 3. Suppose 0*w + l*w = -4*y + 12, 0 = -2*y + w - 4. Let 0*h + 0*h**2 + y - 1/4*h**3 - 1/4*h**4 = 0. Calculate h.
-1, 0
Let q(r) be the third derivative of -26/15*r**5 + 19/6*r**4 + 0 - 2/105*r**7 - 1/84*r**8 - 10/3*r**3 + 36*r**2 + 0*r + 7/15*r**6. Factor q(a).
-4*(a - 1)**4*(a + 5)
Let j = 141 - -16. Suppose 0 = o - 5*i - 32, 48 = 5*o - o - 4*i. Find v such that -155 - o*v + 6*v**2 + 2*v**2 + j - 3*v**3 = 0.
2/3, 1
Let k(h) be the second derivative of h**5/180 - 13*h**4/36 + 20*h**3/3 + 200*h**2/9 + 656*h. Factor k(y).
(y - 20)**2*(y + 1)/9
Let n(f) = -13*f**3 - 5*f**2 + 13*f + 5. Let w(l) = 7*l**3 + 3*l**2 - 7*l - 3. Let i(y) = 3*n(y) + 5*w(y). Factor i(j).
-4*j*(j - 1)*(j + 1)
Suppose -2*t - 296 = -114. Let a = 187 + t. Factor 3/2*x**3 - 18*x**2 - a + 72*x.
3*(x - 4)**3/2
Let 94/19*x + 48/19*x**2 - 4/19 = 0. Calculate x.
-2, 1/24
Let j = 27 + -23. Suppose -j*w + 5 = -7. Find i such that -2*i**3 - 8*i + i**w + 7*i + 2*i**2 = 0.
0, 1
Let y(m) be the second derivative of m**7/315 - m**6/75 + 2*m**4/45 - m - 50. Solve y(z) = 0.
-1, 0, 2
Let q(i) be the second derivative of i**7/90 + i**6/45 - i**5/10 - i**4/3 - 4*i. Let o(j) be the third derivative of q(j). Find a such that o(a) = 0.
-1, 3/7
Let v(c) be the first derivative of 2*c**5/5 + 17*c**4 - 24*c**3 - 34*c**2 + 70*c + 168. Factor v(j).
2*(j - 1)**2*(j + 1)*(j + 35)
Let d(f) be the second derivative of f**8/3360 - f**7/1260 - f**6/180 - 5*f**4/12 - f. Let x(s) be the third derivative of d(s). Solve x(n) = 0 for n.
-1, 0, 2
Let o(h) be the first derivative of h**4/12 - 10*h**3/9 + 16*h**2/3 - 32*h/3 - 40. Suppose o(y) = 0. What is y?
2, 4
Let q = 171 + -213. Let l be ((-3)/q)/(2/7). Factor -l*p**2 + p + 0.
-p*(p - 4)/4
Suppose -40 = 6*p - 10. Let r(j) = 9*j**3 + 127*j**2 + 667*j + 1117. Let g(o) = 6*o**3 + 85*o**2 + 445*o + 745. Let x(l) = p*r(l) + 8*g(l). Factor x(z).
3*(z + 5)**3
Let l(u) = -5*u**2 + 5*u + 2. Let k be l(0). Find w, given that 4/3*w**3 + 1/3*w**4 + 2/3*w**k - 4/3*w - 1 = 0.
-3, -1, 1
Let n(y) = -y**3 - 4*y**3 + y + 3*y**3 - y**2. Let g be n(-2). Factor -20*o**3 - 8 + 16*o**3 + g*o + 2*o.
-4*(o - 1)**2*(o + 2)
Determine p, given that 2/9*p**4 + 0 - 2/3*p**3 - 2/9*p**2 + 2/9*p**5 + 4/9*p = 0.
-2, -1, 0, 1
Let a(j) = 3*j - 4. Let g be a(2). Let q = g + 2. Determine c so that 0*c - 2*c**3 + 0 + 2*c**2 - 3/2*c**q = 0.
-2, 0, 2/3
Let s(k) be the second derivative of k**5/12 + 10*k**4/3 + 160*k**3/3 + 3*k**2 + 11*k. Let r(d) be the first derivative of s(d). Factor r(x).
5*(x + 8)**2
Let a be (-1 - (2 + -4))*0. Factor 3/2*w**3 + 0 - 3/2*w**4 + 3*w**2 + a*w.
-3*w**2*(w - 2)*(w + 1)/2
Solve -31*o**3 - 19*o - 530*o**2 + 338 - 2*o**4 - 33*o + 194*o**2 + 83*o**3 = 0 for o.
-1, 1, 13
Let m be (-18)/2 + 2 - -11. Factor 0*p + 0*p**2 + 0 + p**m + 1/3*p**3.
p**3*(3*p + 1)/3
Find t, given that -40/3*t**2 - 10/3*t**3 + 0 + 8*t + 2*t**5 + 20/3*t**4 = 0.
-3, -2, 0, 2/3, 1
Let u(h) be the second derivative of -h**6/30 + h**5/5 - 5*h**4/12 + h**3/3 - 23*h. Factor u(p).
-p*(p - 2)*(p - 1)**2
Let d(g) be the second derivative of g**7/20160 - g**6/1440 + g**5/320 + 7*g**4/6 - 16*g. Let a(i) be the third derivative of d(i). Find r, given that a(r) = 0.
1, 3
Let n be 4/((-1)/((-1)/2)). Let h be (-10 - -12)*(-6)/(-4). Factor -11*s + 13*s**n + 26*s - h*s**3 - 4*s**2 - 3*s**4 + 6.
-3*(s - 2)*(s + 1)**3
Let f(t) be the third derivative of -t**8/12600 + t**7/4200 + 11*t**5/60 - 3*t**2. Let l(w) be the third derivative of f(w). Factor l(u).
-2*u*(4*u - 3)/5
Let g(w) = 2*w**2 - 8*w + 15. Let q be g(6). Factor -13*j**2 - q + 28*j + 9*j**2 - 1.
-4*(j - 5)*(j - 2)
Let u(h) be the second derivative of -2*h**7/3 - 1313*h**6/90 + 643*h**5/20 - 449*h**4/36 - 13*h**3/