t.
-2, 0, 1
Let b = 207/5 + -409/10. Factor 0*g + 0*g**4 - b*g**3 + 0*g**2 + 0 + 1/2*g**5.
g**3*(g - 1)*(g + 1)/2
Let h(x) be the first derivative of -x**6/12 + x**5/5 - x**3/3 + x**2/4 + 4. Factor h(a).
-a*(a - 1)**3*(a + 1)/2
Let q(o) be the first derivative of -1/2*o**4 + 2 + 0*o + 1/3*o**3 + 1/5*o**5 + 0*o**2. Determine t so that q(t) = 0.
0, 1
Factor 2/3*q - 1/3*q**3 + 1/6*q**4 + 2/3 - 1/2*q**2.
(q - 2)**2*(q + 1)**2/6
Let 4*q**5 - 10*q**4 + q**3 + 3*q**3 - 12*q**2 - 16*q**2 + 2 - 8*q + 36*q**2 = 0. Calculate q.
-1, 1/2, 1
Let b(t) be the third derivative of 0*t + 1/360*t**6 + 0*t**3 + 1/420*t**7 + 0*t**4 - 5/2016*t**8 + 0 + 0*t**5 + 5*t**2. Suppose b(l) = 0. What is l?
-2/5, 0, 1
Let w(u) be the third derivative of u**7/70 + u**6/12 + 3*u**5/20 + u**4/12 + 6*u**2. Factor w(z).
z*(z + 1)*(z + 2)*(3*z + 1)
Let z = 0 + 2. Factor -w + 5*w - 3*w**2 - 3*w**2 + 4*w**z.
-2*w*(w - 2)
Determine l so that -5/8*l**5 + 3/2*l**3 + 0 - 3/8*l**4 + 0*l - 1/2*l**2 = 0.
-2, 0, 2/5, 1
Let m(h) be the second derivative of -h**4/24 - h**3/3 - 3*h**2/4 + 12*h. Find o, given that m(o) = 0.
-3, -1
Let s(o) be the second derivative of -3*o + 0*o**3 - 1/6*o**2 + 1/36*o**4 + 0. Solve s(g) = 0 for g.
-1, 1
Let o(n) = n - 5. Suppose a + 3*a - 28 = 0. Let t be o(a). Factor 6*l**t + 12*l + 6 + l**3 + 3 + 0 - 1.
(l + 2)**3
Let n(m) be the first derivative of m**8/504 - m**6/60 + m**5/45 - 7*m**2/2 + 8. Let h(y) be the second derivative of n(y). Find j such that h(j) = 0.
-2, 0, 1
Let p = 248/3 - 82. Let f(m) be the first derivative of 2/3*m**2 + p*m - 3 + 2/9*m**3. Let f(d) = 0. What is d?
-1
Let a(l) = -l**3 - 2*l**2 + 2*l + 1. Let z be a(-3). Suppose -5*u - 5*d = -5, z*u + 2*d - 1 - 5 = 0. Find s such that -s - 1/3*s**u - 2/3 = 0.
-2, -1
Let y(u) = -u**3 - 14*u**2 - 13*u + 8. Let j be y(-13). What is i in -6*i**3 - j + 6*i + 5 + 2*i**4 + i**4 = 0?
-1, 1
Solve 4*q + 51*q**2 - 47*q**2 + 2*q**4 + q**4 - 4*q**3 - 7*q**4 = 0.
-1, 0, 1
Let r(k) = 14*k**2 + 12*k - 9. Let d(c) = -c**2 - c + 1. Let m(h) = 28*d(h) + 4*r(h). Find v such that m(v) = 0.
-1, 2/7
Suppose h + 7 = 4*g, -4*h + 5*g + 11 = 2*g. Suppose 5*y - h = 5*b, -y - 4*b - 5 = -1. Factor y - 1/5*d**3 + 4/5*d**2 - 4/5*d.
-d*(d - 2)**2/5
Let t be 84*(28/(-8) - -3). Let j be t/(-15) - 4/(-20). Factor -2/11*f + 0 + 4/11*f**2 - 2/11*f**j.
-2*f*(f - 1)**2/11
Let c(k) be the third derivative of -k**8/1176 - k**7/147 - k**6/42 - k**5/21 - 5*k**4/84 - k**3/21 - 7*k**2. Determine f so that c(f) = 0.
-1
Let b be 3/5*(-2)/(-6). Suppose -b*f**2 - 2/5*f + 0 = 0. Calculate f.
-2, 0
Suppose 0 = m - 8 + 2. Let 2*k**4 + 18*k**2 - m*k + 2*k**3 - 4*k**3 + 4 - 8*k - 8*k**3 = 0. Calculate k.
1, 2
Let o(l) = -l**4 - 3*l**3 + 5*l**2 + 3*l + 4. Let y(k) = k**4 + 2*k**3 - 4*k**2 - 2*k - 3. Let c(d) = -3*o(d) - 4*y(d). Determine b so that c(b) = 0.
-1, 0, 1
Let l be (-5 + 6)/(1/(-15)). Let m = 18 + l. Let -3/2 + m*n**2 + 3/2*n = 0. Calculate n.
-1, 1/2
Let n = 1/21 - -37/105. Factor n*m**2 + 1/5*m + 0*m**3 - 1/5*m**5 + 0 - 2/5*m**4.
-m*(m - 1)*(m + 1)**3/5
Let j(o) = -o**3. Let z(l) = 5*l**5 + 5*l**4 - 4*l**3 - 5*l**2. Let d(b) = j(b) + z(b). Factor d(x).
5*x**2*(x - 1)*(x + 1)**2
Let v(a) be the second derivative of 2*a**6/15 - a**4/6 + a**2/2 - 3*a. Let o(t) = -t**4. Let h(j) = -6*o(j) - 2*v(j). Determine m so that h(m) = 0.
-1, 1
Let i(d) be the second derivative of d**8/210 + 11*d**7/420 + d**6/36 - d**5/30 - 2*d**3/3 + 10*d. Let y(w) be the second derivative of i(w). Factor y(m).
2*m*(m + 1)*(m + 2)*(4*m - 1)
Factor -2*c**3 + 4*c**2 + 6*c - 2*c**4 + 4*c**2 + 2*c.
-2*c*(c - 2)*(c + 1)*(c + 2)
Let x(q) be the second derivative of 0*q**3 - 5*q + 0 + 1/100*q**5 + 1/60*q**4 + 0*q**2. Factor x(c).
c**2*(c + 1)/5
Let m(l) be the third derivative of -l**7/70 + l**6/10 - l**5/5 - 3*l**2. Factor m(v).
-3*v**2*(v - 2)**2
Let c be (-2)/4 - 7/(-2). Suppose 12 = q - 5*h, -q + 1 = -h - c. Determine u so that 1 + 7 - 6*u**2 + q*u + 26*u - 55*u**3 + 25*u**4 = 0.
-2/5, 1, 2
Suppose c = -2*c - w - 44, 5*w = 3*c + 14. Let n = -11 - c. Let -2/3*b**4 + 4/3*b**n + 2/3*b**5 - 4/3*b**3 - 2/3 + 2/3*b = 0. Calculate b.
-1, 1
Let a(f) be the first derivative of -f**4/12 + 2*f**3/3 - 2*f**2 + 8*f/3 + 3. Let a(b) = 0. Calculate b.
2
Let l(w) be the second derivative of 0*w**4 + 1/105*w**7 - 4*w + 0*w**6 + 0*w**3 + 0*w**5 + 0 + 0*w**2. Solve l(o) = 0 for o.
0
Let x(f) be the second derivative of 0*f**2 - 1/126*f**7 - 5*f - 1/60*f**5 + 0*f**4 + 0*f**3 - 1/45*f**6 + 0. Let x(y) = 0. What is y?
-1, 0
Let v = 4/167 + -967/5511. Let j = 2/11 - v. Suppose -7/6*w**2 - 3/2*w - j = 0. Calculate w.
-1, -2/7
Let a(j) be the first derivative of 25*j**3/2 + 15*j**2/2 + 3*j/2 - 15. Let a(f) = 0. What is f?
-1/5
Let a be ((-20)/175)/((-4)/28). Suppose 2/5*f**2 + 0 - a*f = 0. Calculate f.
0, 2
Let s(p) be the third derivative of 1/48*p**4 + 0 + 0*p**3 + 0*p**6 - p**2 + 1/80*p**5 - 1/840*p**7 + 0*p. Find t, given that s(t) = 0.
-1, 0, 2
Let x(y) = y**2 + y - 2. Let k(s) = 3*s**3 + 31*s**2 + 130*s + 160. Let a(v) = k(v) + 5*x(v). Let a(j) = 0. What is j?
-5, -2
Suppose 0*s = -2*s - 8*s. Let a(q) be the first derivative of 0*q**3 + 2/5*q**5 + 0*q + 0*q**2 + s*q**4 + 2. What is c in a(c) = 0?
0
Let r(o) = o**2 - 4*o + 2. Let j be r(4). Let k(n) be the first derivative of 1 + 0*n + 1/2*n**j - 1/3*n**3. Factor k(i).
-i*(i - 1)
Let j(m) be the third derivative of m**5/60 + m**4/12 + m**3/6 + 2*m**2 - 10*m. Let j(y) = 0. Calculate y.
-1
Let a(n) be the second derivative of 0 - 1/3*n**2 - 3*n - 2/9*n**4 - 5/9*n**3. Solve a(c) = 0 for c.
-1, -1/4
Let k be 111/(-1386) - (-14)/147. Let h(r) be the third derivative of 1/110*r**5 - r**2 - 1/660*r**6 + 0 - k*r**4 + 0*r + 0*r**3. Factor h(g).
-2*g*(g - 2)*(g - 1)/11
Suppose 7*t = 6*t + 42. Solve t*p**2 - 10*p - 17*p + 10*p**4 - 4*p**4 + 6 - 27*p**3 = 0.
1/2, 1, 2
Suppose 4*d = -2*g - 4, 2*g + 5*d + 6 = -0*g. Factor h**g + 12 - 12.
h**2
Let c(b) = b**2 - 24*b - 31. Let h(v) = -24*v - 30. Let o(x) = 3*c(x) - 2*h(x). Let q(j) = 5*j**2 - 47*j - 65. Let g(k) = -11*o(k) + 6*q(k). Solve g(p) = 0.
-3
Let z(q) = -16*q**4 - 8*q**3 + 12*q**2 + 12*q + 12. Let o(b) = -b**4 + b**2 + b + 1. Let r(i) = -12*o(i) + z(i). Determine j so that r(j) = 0.
-2, 0
Let n = 4 + 0. Suppose -f + 6 - n = 0. Let -95/3*z**3 + 2/3 + 12*z**5 - 7*z + z**4 + 25*z**f = 0. Calculate z.
-2, 1/4, 1/3, 1
Let o(k) = -k + 8. Let z(n) = -n**3 + 4*n**2 + n - 4. Let p be z(3). Let w be o(p). Factor 2/5*y + w + 2/5*y**2.
2*y*(y + 1)/5
Let m(n) be the first derivative of 1/18*n**3 - 1 + 3/2*n**2 + 0*n - 1/180*n**5 + 0*n**4. Let q(i) be the second derivative of m(i). Solve q(g) = 0 for g.
-1, 1
Let z(g) be the third derivative of -g**7/2310 + g**6/660 + 33*g**2. Let z(a) = 0. Calculate a.
0, 2
Let a(h) be the second derivative of -h**6/30 - h**5/20 + h**4/12 + h**3/6 - h. Factor a(j).
-j*(j - 1)*(j + 1)**2
Let 10/11*x**5 + 4/11*x**4 - 4/11*x**2 + 0 + 0*x - 10/11*x**3 = 0. What is x?
-1, -2/5, 0, 1
Let a(p) be the third derivative of 0*p**3 + p**2 + 0*p**4 + 1/112*p**8 + 3/40*p**6 + 1/20*p**5 + 0 + 3/70*p**7 + 0*p. Determine h, given that a(h) = 0.
-1, 0
Let m be 18685/(-18) + (-2)/(-4). Let t = m - -1040. Suppose 32/9*p**2 + 14/9*p**3 + t*p + 4/9 = 0. Calculate p.
-1, -2/7
Let f(t) be the third derivative of -2*t**2 - 1/3*t**3 - 1/24*t**4 + 0 + 0*t + 1/120*t**6 + 1/30*t**5. Factor f(m).
(m - 1)*(m + 1)*(m + 2)
Let b = 14137/11 - 1285. Factor 0 + 0*c + b*c**2.
2*c**2/11
Determine j so that 8*j**2 - 294*j + 278*j + 4*j**2 + 4*j**3 = 0.
-4, 0, 1
Let v(g) be the second derivative of 0*g**2 + 1/18*g**4 - 1/9*g**3 + 0 + 3*g. Factor v(o).
2*o*(o - 1)/3
Solve 9/7*y**3 + 0 - 24/7*y**2 + 15/7*y = 0.
0, 1, 5/3
Let d(q) be the third derivative of -q**8/336 - q**7/105 + q**6/30 + q**5/30 - q**4/8 - 16*q**2. Find m, given that d(m) = 0.
-3, -1, 0, 1
Let c(y) be the second derivative of y**8/5880 + y**7/2940 - y**6/1260 - y**5/420 + y**3/3 + y. Let r(n) be the second derivative of c(n). Factor r(k).
2*k*(k - 1)*(k + 1)**2/7
Let f = 955 - 953. Let 2/3*s + 2/9*s**4 + 2/9*s**f - 4/9 - 2/3*s**3 = 0. Calculate s.
-1, 1, 2
Suppose -4*q = 0, -k + 2 = -5*q + 7*q. Factor m**k - 1/2*m**3 + 0*m + 0.
-m**2*(m - 2)/2
Let x(y) be the first derivative of -3/2*y**3 + 5/8*y**4 + 2 - 1/10*y**5 - y + 7/4*y**2. Factor x(t).
-(t