hat is p?
-1, 2
Suppose 0 = -3*q + 8 - 2. Find f, given that q*f**3 - 3*f**3 - f + f**2 + f**2 = 0.
0, 1
Let c(u) be the second derivative of 1/90*u**5 + 2/9*u**3 - 2*u + 0 - 1/12*u**4 + 3/2*u**2. Let i(j) be the first derivative of c(j). Factor i(r).
2*(r - 2)*(r - 1)/3
Let 56/3*t**2 + 0*t + 36*t**3 + 16*t**4 - 4/3*t**5 + 0 = 0. Calculate t.
-1, 0, 14
Factor 5*j**4 - j**4 - 48*j + 100*j**2 + 25*j**3 - 41*j**3 - 40*j**3.
4*j*(j - 12)*(j - 1)**2
Let h(a) be the third derivative of 1/3*a**3 + 0*a + 0 + 7/60*a**5 + a**2 - 5/24*a**4. Let z(k) = -15*k**2 + 9*k - 3. Let m(q) = -9*h(q) - 4*z(q). Factor m(t).
-3*(t - 2)*(t - 1)
Let w(d) be the third derivative of 5*d**8/336 - d**7/42 - d**6/24 + d**5/12 + 84*d**2 - 2. Factor w(g).
5*g**2*(g - 1)**2*(g + 1)
Let q(k) be the first derivative of -1/15*k**3 - 5 - k**2 - 5*k. Factor q(p).
-(p + 5)**2/5
Let f(a) be the first derivative of 8 + 0*a + 2/15*a**3 + 1/5*a**4 + 0*a**2 + 2/25*a**5. Find t such that f(t) = 0.
-1, 0
Let b(a) = 4*a**3 - 20*a**2 + 24*a + 92. Let s(q) = 6*q**3 - 19*q**2 + 26*q + 91. Let o(c) = 5*b(c) - 4*s(c). Determine l so that o(l) = 0.
-6, -2, 2
Suppose 0 = -r + 3*a, 0 = 2*r - 2*a - 14 + 2. Let 6*b**3 + r*b**2 + 3*b**3 - 6*b**4 - 2*b - 3*b - b = 0. Calculate b.
-1, 0, 1/2, 2
Find x such that -124/7*x - 4/7*x**2 - 120/7 = 0.
-30, -1
Let q(d) be the second derivative of -d**4/30 - 28*d**3/15 - 23*d**2 - 3*d - 103. Factor q(s).
-2*(s + 5)*(s + 23)/5
Let s = 17375 + -17371. Factor -1/5*n**2 - 1/5*n**s + 2/5*n**3 + 0 + 0*n.
-n**2*(n - 1)**2/5
Let x be -4*3/(-4) - 0. Factor 1512*b**2 + x*b**3 - 5*b**3 - 1510*b**2.
-2*b**2*(b - 1)
Factor -20*j - 8*j**3 + 1/2*j**4 + 21*j**2 + 13/2.
(j - 13)*(j - 1)**3/2
Let w(i) = -i**2 + 7*i + 20. Let q be w(9). Factor 87 - 38 + u**3 + u**q - 46 - 5*u.
(u - 1)**2*(u + 3)
Suppose -5 + 1 = v. Let n be v - 0 - 117/(-26). Factor -1/2*t**2 + 1 + n*t.
-(t - 2)*(t + 1)/2
Let a be 2/8 + -5*(-5)/100. Let o(b) be the first derivative of -7 + 0*b**2 - 1/6*b**3 + a*b. Factor o(n).
-(n - 1)*(n + 1)/2
Let f(u) be the first derivative of -18 - 7/13*u**2 + 16/39*u**3 + 4/13*u - 4/65*u**5 + 1/39*u**6 - 1/13*u**4. Factor f(y).
2*(y - 1)**4*(y + 2)/13
Factor 24/11*i**2 + 0 + 6/11*i**3 - 72/11*i.
6*i*(i - 2)*(i + 6)/11
Let l = 484 + -3386/7. Suppose -3*i + 2*w = -2*i - 4, -5*i + w = -2. Find y such that l*y**3 + 0 + 0*y**2 + 2/7*y**4 + i*y = 0.
-1, 0
Suppose -2*q + y = -y, -5*q - 2*y + 14 = 0. Let f be 6 - 5/((-5)/(-4)). What is g in 10*g + 6*g**q - g**2 + f - 2*g + g**2 = 0?
-1, -1/3
Let d be 7/(21/18)*3/6. Factor -3*m**d - m**2 + m**2 - m**4 + 4*m**3.
-m**3*(m - 1)
Let -5/3*w - 1/6*w**2 + 0 = 0. Calculate w.
-10, 0
Let r(h) = h**5 + h**4 + h**3 + h - 1. Let f(s) = -5*s**5 + s**4 + 25*s**3 - 39*s**2 - 26*s + 38. Let k(m) = -f(m) - 2*r(m). Find v such that k(v) = 0.
-3, -1, 1, 2
Let a = -154 + 309/2. Let b(k) be the first derivative of -1/6*k**6 - 1/5*k**5 + 2/3*k**3 + a*k**4 + 3 - 1/2*k**2 - k. Factor b(v).
-(v - 1)**2*(v + 1)**3
Factor -1/4*n**2 + 0*n + 0.
-n**2/4
Let b(p) be the third derivative of p**5/100 - 13*p**4/10 + 338*p**3/5 + 65*p**2 + 2. Let b(j) = 0. Calculate j.
26
Let z(k) = 18*k - 24. Let s(o) = -o**2 + 29*o + 2*o + 5*o - 42 - 7. Let f(w) = 3*s(w) - 5*z(w). Factor f(a).
-3*(a - 3)**2
Let h(s) = 3*s**2 + 6*s - 11. Let q(z) = -6*z**2 - 12*z + 23. Let n = -52 - -47. Let j(p) = n*h(p) - 2*q(p). Suppose j(w) = 0. What is w?
-3, 1
Let z be 7 + (-1)/(-4)*0. Suppose 0 = -5*o + z*o. Solve 4*i**2 - i - 3*i**2 - 2 + o = 0 for i.
-1, 2
Let w be (1/(-3))/((-1)/(-18))*2/(-4). Suppose 18/5*d**4 + 0*d + 2/5*d**2 - 12/5*d**w - 8/5*d**5 + 0 = 0. What is d?
0, 1/4, 1
Suppose 520/19*n + 2/19*n**2 + 33800/19 = 0. What is n?
-130
Let f = 17431/6974 + 2/3487. Factor 0 - f*i**2 - 5/2*i**3 + 5/2*i + 5/2*i**4.
5*i*(i - 1)**2*(i + 1)/2
Let p(w) be the third derivative of -w**8/1512 - 2*w**7/189 + w**6/90 + 34*w**5/135 + 83*w**4/108 + 10*w**3/9 - 2*w**2 + 5. Determine d so that p(d) = 0.
-10, -1, 3
Let y(f) = -2*f + 4. Let j = 13 + -13. Let q be y(j). Factor 3*l**2 - 14*l + q*l**3 + 6 + 7*l**2 - 4*l**3 - 2*l**3.
-2*(l - 3)*(l - 1)**2
Let o = 15/76 + 1/19. Let n(v) be the first derivative of o*v + 1/4*v**2 + 4 + 1/12*v**3. Solve n(d) = 0.
-1
Let c(a) be the first derivative of -4*a**3/3 - 52*a**2 - 480*a - 226. Factor c(g).
-4*(g + 6)*(g + 20)
Let a(q) be the second derivative of q**4/3 - 4*q**3/3 - 6*q**2 - 17*q - 2. Solve a(k) = 0.
-1, 3
Let k(c) be the first derivative of -c**8/60 + 2*c**7/35 + 2*c**6/45 + 10*c**3 + 23. Let l(z) be the third derivative of k(z). Solve l(g) = 0.
-2/7, 0, 2
Let h(b) be the third derivative of 20*b**2 + 0*b + 0 - 1/150*b**6 + 1/30*b**4 + 1/525*b**7 - 1/15*b**3 + 0*b**5. Factor h(s).
2*(s - 1)**3*(s + 1)/5
Let v = 23/2 - 9. Let g(a) be the first derivative of 5/3*a**3 + 0*a - 12 - v*a**2. Factor g(q).
5*q*(q - 1)
Let r(g) be the second derivative of g**5/40 + 5*g**4/24 + g**3/2 + 36*g. Find q, given that r(q) = 0.
-3, -2, 0
Suppose -20*g - 12 = -24*g. Suppose 5*c - 5*t - 15 = 0, g*c + t + 1 - 6 = 0. Factor -2/5*n**c + 0 + 2/5*n.
-2*n*(n - 1)/5
Let n(p) be the second derivative of -p**4/54 - 11*p**3/9 + 34*p. Determine f so that n(f) = 0.
-33, 0
Factor -11093*y**2 + 10800*y - 1048*y**3 - 4000 + 1166*y**3 + 2798*y**3 + 1911*y**2 - 538*y**2.
4*(9*y - 10)**3
Let z(j) = j**2 + 27*j - 518. Let n be z(-40). Let u(q) be the second derivative of -7*q + 0*q**2 - n*q**4 + 3/20*q**5 + 0 + 8*q**3. Factor u(o).
3*o*(o - 4)**2
Let f be -25 - (-2)/(2/1). Let a = -22 - f. Find l, given that -4/3*l**a + 2/3*l**4 + 2/3*l**5 - 4/3*l**3 + 2/3 + 2/3*l = 0.
-1, 1
Let l(g) be the third derivative of g**5/12 - 115*g**4/12 + 2645*g**3/6 + 2*g**2 + 13. Factor l(z).
5*(z - 23)**2
Let b be (-164)/(-14) + 2/7. Factor 15 + b*p + 12 + 2*p**2 + 13 - 6*p**2.
-4*(p - 5)*(p + 2)
Suppose -8*j - 9*j + 68 = 0. Let k(d) be the third derivative of -1/315*d**7 - 1/15*d**5 + j*d**2 + 0*d - 1/45*d**6 - 1/9*d**3 - 1/9*d**4 + 0. Factor k(w).
-2*(w + 1)**4/3
Let y = -9 - -13. Factor -10*r**y - 13*r**5 + 4*r**4 + 4*r**5.
-3*r**4*(3*r + 2)
Let x be ((-5)/(-10))/(2/40). Let n be (2/x)/(5/75). Suppose -1/3 - j**2 + j + 1/3*j**n = 0. Calculate j.
1
Let d = -1133 + 3404/3. Factor 10/3*l**3 - 5/3*l**4 - 10/3*l + 0*l**2 + d.
-5*(l - 1)**3*(l + 1)/3
Factor 3*r**3 + 60*r**2 + 11*r**3 + 26*r**3 - 16*r**3 - 27 + 18*r.
3*(2*r - 1)*(2*r + 3)**2
Suppose 4*z - z = -5*q - 29, z + 5 = -4*q. Let g = 15 + z. Factor 2 + 2 - 2*m**2 + 0*m**2 + 3*m**g + 8*m - 3*m**3.
-(m - 2)*(m + 1)*(3*m + 2)
Suppose 0*r + 24 = -2*r. Let p be 4/(-28) - 2/(r + -2). Find n, given that p + 3/5*n**4 + 0*n - 2/5*n**3 + 0*n**2 = 0.
0, 2/3
Find s, given that -51*s**3 + 27*s + 93*s**3 + 6 + 19*s**4 + 3*s**5 + 48*s**2 - s**4 = 0.
-2, -1
Suppose 43*q = 16*q - 11*q. Factor 2/3*f**4 + q*f**3 - 4/3*f**2 + 2/3 + 0*f.
2*(f - 1)**2*(f + 1)**2/3
Let p(q) = -15*q**2 - 7*q. Let u(l) = 2*l + 6*l**2 + 3*l + 4*l**2. Let b(r) = 5*p(r) + 7*u(r). Factor b(i).
-5*i**2
Solve -212*h**2 + 32396*h + 33124 + 403*h**2 - 915*h**2 + 4*h**3 = 0.
-1, 91
Let f = 221 + -155. Let q = 68 - f. Factor 1/5 - 1/5*v**3 - 1/5*v**q + 1/5*v.
-(v - 1)*(v + 1)**2/5
Let x(y) = y**2 + 8*y - 46. Let a be x(-12). Factor 6 - 18 + 9*v + v**2 + a*v**2.
3*(v - 1)*(v + 4)
Suppose 127*s - 8 = 36 + 210. Suppose -4/5*w**3 + 8/5*w - 8/5 - 2/5*w**4 + 6/5*w**s = 0. Calculate w.
-2, 1
Let t = 3187/420 - 53/7. Let i(w) be the third derivative of 0 - 2/105*w**7 + t*w**6 + 0*w**3 + 0*w**4 + 1/168*w**8 + w**2 + 0*w**5 + 0*w. Factor i(u).
2*u**3*(u - 1)**2
Find t such that -30*t**4 + 15*t**2 - 42*t - 80*t**2 - 94*t**3 - 64*t**2 - 4 + 27*t**2 = 0.
-1, -2/15
Let c(s) be the third derivative of -s**6/280 + 6*s**5/35 - 23*s**4/56 + 17*s**2 + 12*s. Determine z, given that c(z) = 0.
0, 1, 23
Let g = -19 + 160. Let -109 - 28*l**3 + 65*l - 41*l**3 + g*l**2 - 33*l**4 + 7*l + 1 - 3*l**5 = 0. What is l?
-6, -1, 1
Factor 0 + 0*t - 3/4*t**3 + 5/8*t**2 + 1/8*t**4.
t**2*(t - 5)*(t - 1)/8
Find s, given that -7/3*s**3 - 20/3*s + 1/3*s**4 + 6*s**2 + 8/3 = 0.
1, 2
Let l(c) = 5*c**3 + 3*c + 4. Let u(m) = 9 - m**3 + 12 + 2*m**3 - 20. Let j(n) = -l(n) + 6*u(n). Suppose j(y) = 0. What is y?
-2, 1
Factor 5 + 45/4*y**2 - 65/4*y.
5*(y - 1)*(9*y - 4)/4
Let b(a) be the third derivative of a**11/2494800 - a**9/151200 + a**8/75600 + 3*a