758 - -78794/5. Suppose q*r - 6/5 - n*r**2 = 0. Calculate r.
3
Determine z, given that 0 - 2/3*z - 2/3*z**3 - 4/3*z**2 = 0.
-1, 0
Let a(t) = -t**3 - t**2 - 2*t + 2. Let v be a(0). Let f be (3*24/(-108))/(v/(-9)). Let 0*s**2 + 2/9*s**f + 2/9*s**4 + 0 + 0*s = 0. What is s?
-1, 0
Let c = 2386/21 + -340/3. Factor -c*k**2 - 2/7*k + 0.
-2*k*(k + 1)/7
Suppose -2*m + 654 = 2*t - 6*t, -5*t - 835 = m. Let p = t - -274. Factor 41 - p*r**3 - 144*r - 9 + 9*r**2 + 120*r**2 + 87*r**2.
-4*(3*r - 2)**3
Solve 14*p**5 - 2*p + 17*p**5 - 9*p**5 - 4*p**2 + 4*p**4 - 20*p**5 = 0.
-1, 0, 1
Find r such that -8/3*r + 0 - 1/3*r**2 = 0.
-8, 0
Let 13*j**2 - 2*j**4 + 8*j - 10*j**3 + 67 - 168 + 56*j - j**2 + 37 = 0. Calculate j.
-4, 1, 2
Suppose 3*i - i = 16. Suppose -8 = -i*v + 4*v. Solve -4*l + 0 + 0 + 22*l**v - 18*l**2 = 0 for l.
0, 1
Let n = -24 + 27. Factor -4*z**2 + z**3 + 3*z**3 + 0*z**n + 0*z**3.
4*z**2*(z - 1)
Let o(c) be the third derivative of -c**8/2688 - c**7/1680 + 3*c**6/320 + 13*c**5/480 - c**4/24 - c**3/4 + 376*c**2. Solve o(v) = 0 for v.
-2, -1, 1, 3
Let r = -3213 + 3216. Factor -58/5*i**2 + 18/5*i**r + 0 + 12/5*i.
2*i*(i - 3)*(9*i - 2)/5
Let n(b) be the first derivative of -b**5/150 + b**4/10 - 8*b**3/15 + 7*b**2/2 - 37. Let g(w) be the second derivative of n(w). Find o, given that g(o) = 0.
2, 4
Suppose -15*w - 9 = -12*w. Let b be (-1)/w - (-2)/(6 + 24). Factor 0*t**2 + 0*t + 0 - b*t**4 + 2/5*t**3.
-2*t**3*(t - 1)/5
Let g(q) = 9*q**4 - 12*q**3 + 57*q**2 - 78*q + 36. Let i(t) = -2*t**4 + t**3 - t. Let s(p) = g(p) + 6*i(p). Factor s(j).
-3*(j - 2)*(j - 1)**2*(j + 6)
Let q(m) = 3*m - 10 - 17*m**2 + 0*m**3 + 12*m**2 + m**3. Let z be q(5). Factor -z + 2*w**2 - 4*w + 6*w + 1.
2*(w - 1)*(w + 2)
Suppose 12*r = 16*r - 16. Factor -6*d**3 + 3*d + 2*d**2 - 4*d + d**r + 7*d - 4 + d**4.
2*(d - 2)*(d - 1)**2*(d + 1)
Let f(r) be the third derivative of -r**6/210 + 4*r**5/105 - 2*r**4/21 - r**2 - 38*r. Find k, given that f(k) = 0.
0, 2
Suppose -5*p = -0*p - 3*k - 52, -3*p - 2*k = -16. Let c be (-2)/p + (-9)/(-36). Let c - 1/4*h + 1/4*h**2 = 0. Calculate h.
0, 1
Let g(y) = y**3 + y**2 - y + 5. Suppose 5*c + 1 = d - 9, -3*c = -3*d + 6. Let f be g(d). What is b in -24/5*b + 9*b**2 + 4/5 - f*b**3 = 0?
2/5, 1
Let d be (2/(-6))/(-5 - (-140)/(-21)). Let w(i) be the third derivative of 0 + i**2 - 1/30*i**5 + d*i**7 + 0*i + 0*i**4 + 0*i**3 - 1/30*i**6. Factor w(b).
2*b**2*(b - 1)*(3*b + 1)
Let b(p) be the first derivative of -2*p**3/33 + 2*p**2/11 + 123. Factor b(c).
-2*c*(c - 2)/11
Let g(p) = 19*p**2 - 71*p - 216. Let k(m) = 270*m**2 - 995*m - 3025. Let j(s) = 85*g(s) - 6*k(s). Suppose j(x) = 0. Calculate x.
-7, -6
Let u(j) be the second derivative of -j**4/12 - 13*j**3/3 + 32*j - 1. Factor u(m).
-m*(m + 26)
Factor -24/17*u - 2/17*u**3 - 16/17 - 12/17*u**2.
-2*(u + 2)**3/17
Let o(j) be the third derivative of j**6/40 + j**5/4 + j**4/2 - 4*j**2 - 5. Factor o(v).
3*v*(v + 1)*(v + 4)
Let -2/5*x + 4/5*x**3 - 2/5*x**5 + 0*x**4 + 0*x**2 + 0 = 0. Calculate x.
-1, 0, 1
Let j(u) = 3*u**3 - 17*u**2 - 16*u + 4. Let t(v) = 8*v**3 - 50*v**2 - 47*v + 11. Let x(g) = 11*j(g) - 4*t(g). Let x(h) = 0. Calculate h.
-12, -1, 0
Let h(f) = -28*f + 2464. Let r be h(88). Let 0*v - 9/8*v**4 - 3/8*v**2 + r + 9/8*v**3 + 3/8*v**5 = 0. What is v?
0, 1
Let j(u) = 5*u**2 + 14*u. Let y be j(-3). Let d(v) be the first derivative of y - 3/2*v**2 + 2/7*v**3 - 6/7*v + 3/4*v**4. Solve d(r) = 0.
-1, -2/7, 1
Suppose -3*n + 10 = -n, 0 = 2*a + n + 3. Let t be (30/9 + a)*-2. What is w in t*w - 4/3 + 4/3*w**2 - 4/3*w**3 = 0?
-1, 1
Factor 5*f**3 - 2*f**3 + 8*f**2 - f**3 + 8*f**2.
2*f**2*(f + 8)
Let l(i) = -i**3 - i**2 + i + 3. Let q be l(0). Let w be (-1 - q/((-12)/(-8))) + 3. Factor 1/3*c**2 + 0*c + w + 0*c**3 - 1/3*c**4.
-c**2*(c - 1)*(c + 1)/3
Let j = -2958 - -2958. Factor -1/5*k**5 + 0 + 1/5*k**4 + j*k + 1/5*k**3 - 1/5*k**2.
-k**2*(k - 1)**2*(k + 1)/5
Let x(z) = -76*z - 2. Let i be x(1). Let n = i - -236/3. Solve 2/9 - 2/9*w**2 - 2/3*w**3 + n*w = 0 for w.
-1, -1/3, 1
Suppose 13*p - 133 = -6*p. Let a(s) = -15*s**2 + 105*s + 3. Let u be a(p). Find c, given that 1/3*c**u - 1/6*c**4 - 1/6*c**2 + 0*c + 0 = 0.
0, 1
Suppose -3*d + 160 - 31 = 5*i, 4*d - 12 = 0. Let s be (i/84)/((-6)/(-14)). Factor 4/3*w + s + 2/3*w**2.
2*(w + 1)**2/3
Let i(u) be the first derivative of -u**5/10 + 11*u**4/8 - 19*u**3/6 + 9*u**2/4 - 254. Suppose i(x) = 0. Calculate x.
0, 1, 9
Factor 11*x**3 - 8 - 9*x - 12*x**2 - 5*x**3 - 8*x**3 - 9*x.
-2*(x + 1)**2*(x + 4)
Let f(y) be the second derivative of 5/36*y**3 - 5/72*y**4 + 5/2*y**2 + 15*y + 0. Factor f(o).
-5*(o - 3)*(o + 2)/6
Let c(n) be the first derivative of n**5/15 - n**4/4 - n**3/3 + 7*n**2/6 + 2*n + 90. Factor c(x).
(x - 3)*(x - 2)*(x + 1)**2/3
Let z be (-12)/(-7) + 18/63. Find p such that -12/7 - 8/7*p + 4/7*p**z = 0.
-1, 3
Let b(k) be the second derivative of -k**5/70 - k**4/7 + 12*k**3/7 - 40*k**2/7 + 6*k. Find q such that b(q) = 0.
-10, 2
Let m(b) be the second derivative of -1/5*b**5 + 1/75*b**6 + 0*b**3 + 0*b**2 + 5/6*b**4 + 0 + 23*b. Find u, given that m(u) = 0.
0, 5
Let b(h) be the first derivative of 6*h**3 - 39*h**2/2 - 234. Factor b(c).
3*c*(6*c - 13)
Factor 4/13*a**2 - 4/13*a**4 - 2/13*a + 0 + 0*a**3 + 2/13*a**5.
2*a*(a - 1)**3*(a + 1)/13
Let c(u) be the second derivative of -u**7/27 + 16*u**6/135 + 3*u**5/10 - 32*u**4/27 - 20*u**3/27 + 16*u**2/3 - 5*u + 17. Let c(v) = 0. What is v?
-12/7, -1, 1, 2
Let n = 13757/12 - 4583/4. Factor -n*u**3 + 2/3*u**2 + 16/3*u - 8.
-2*(u - 2)**2*(u + 3)/3
Let j(x) be the second derivative of 5/42*x**4 + 0*x**2 + 0 + 4/21*x**3 + 1/70*x**5 - 32*x. Let j(t) = 0. Calculate t.
-4, -1, 0
Let m be ((-3)/(-684))/(22/44). Let n(t) be the third derivative of -1/57*t**3 + 0 + 0*t - 10*t**2 - 1/570*t**5 + m*t**4. Determine y so that n(y) = 0.
1
Suppose i + 35 = 37. Let n(r) be the second derivative of i*r + 5/9*r**4 + 1/9*r**6 + 0 + 1/3*r**5 + 5/9*r**3 + 1/63*r**7 + 1/3*r**2. Factor n(p).
2*(p + 1)**5/3
Let a(h) be the first derivative of -3*h**5/5 - 15*h**4 + 91*h**3 - 177*h**2 + 144*h - 197. Find k such that a(k) = 0.
-24, 1, 2
Let m be (4/18)/((-283)/(-8490)). Let 56/3*t**3 + 104/3*t**2 + 76/3*t + m - 4/3*t**5 + 4/3*t**4 = 0. Calculate t.
-1, 5
Let x(n) = -n**2 + 13*n - 20. Let m be x(11). Let p be 4 + 2 + -2 + m/(-1). Determine r so that -1/2*r**3 - 1/2*r - r**p + 0 = 0.
-1, 0
Let t(p) be the third derivative of -p**7/1785 + p**5/510 - 24*p**2. Factor t(m).
-2*m**2*(m - 1)*(m + 1)/17
Let v(s) be the second derivative of -s**6/30 - s**5/10 + s**4/12 + s**3/3 + 468*s. Factor v(y).
-y*(y - 1)*(y + 1)*(y + 2)
Suppose 5*h - 1135 = 5*u, -u - u - 455 = -3*h. Let d = u + 228. Suppose -6/11*r**3 - 10/11*r**d + 0 - 4/11*r = 0. Calculate r.
-1, -2/3, 0
Let n(z) = -z**3 - 3*z**2 - 2*z - 4. Let m be n(-3). Determine c so that 20*c**3 - 16*c**3 - m*c**4 - 2*c**4 = 0.
0, 1
Let s(m) be the third derivative of -m**5/12 - 5*m**4/24 + 10*m**3 + 184*m**2. Find z such that s(z) = 0.
-4, 3
Let a(u) = -20*u**2 + 120*u - 116. Let o(c) = 4*c**2. Let i(k) = -a(k) - 4*o(k). Suppose i(g) = 0. Calculate g.
1, 29
Let y(a) be the first derivative of 1/5*a**6 + 15 - 4/5*a**2 + 4/5*a**5 + 1/10*a**4 + 16/5*a - 12/5*a**3. Determine g, given that y(g) = 0.
-2, -1, 2/3, 1
Let h(x) be the first derivative of 5*x - 5/4*x**4 - 3/20*x**5 - 6*x**2 - 4*x**3 + 2. Let j(g) be the first derivative of h(g). Factor j(b).
-3*(b + 1)*(b + 2)**2
Let s(l) be the third derivative of l**6/420 - l**5/70 + 4*l**3/21 - l**2 - 37*l. Factor s(i).
2*(i - 2)**2*(i + 1)/7
Let s(o) be the third derivative of -o**8/70560 + o**7/5880 - o**6/1260 + o**5/30 - 36*o**2. Let n(v) be the third derivative of s(v). Factor n(b).
-2*(b - 2)*(b - 1)/7
Let u(d) = d**3 + 12*d**2 + 17*d - 1. Let a be u(-9). Factor -94*v**2 - 24 + 181*v**2 - a*v**2 + 26*v.
-2*(v - 12)*(v - 1)
Let s(q) = -q**3 + 63*q**2 - 244*q - 316. Let h(f) = -4*f**3 + 192*f**2 - 731*f - 949. Let i(c) = 4*h(c) - 11*s(c). Factor i(a).
-5*(a - 8)**2*(a + 1)
Factor 0*b**2 - 2/9*b**3 + 8/3*b - 32/9.
-2*(b - 2)**2*(b + 4)/9
Let k(t) = 4*t + 2 - 4*t**2 + t**2 - 5*t. Let d(p) = 9 + 3*p**2 - 7*p**2 + 1 - 5*p - 12*p**2. Let u(x) = 4*d(x) - 22*k(x). Find n, given that u(n) = 0.
-2, 1
Factor 82*c**2 - 2484 - 3600 + 1440*c + 1902 - 1218 + 2*c**3 + 32*c**2.
2*(c - 3)*(c + 30)**