. What is o in l(o) = 0?
-2, 1/4
Let t(w) be the first derivative of -w**9/1512 + w**7/210 - w**5/60 + w**3 - 1. Let j(g) be the third derivative of t(g). Factor j(v).
-2*v*(v - 1)**2*(v + 1)**2
Let s(k) be the second derivative of -1/70*k**5 + 4*k + 1/21*k**3 - 2/7*k**2 + 0 + 1/21*k**4. Factor s(b).
-2*(b - 2)*(b - 1)*(b + 1)/7
Let c(d) be the first derivative of -d**4/18 - d**3/6 + d**2/3 - 3*d - 3. Let w(a) be the first derivative of c(a). Suppose w(u) = 0. What is u?
-2, 1/2
Factor -12*p**3 + 2*p**2 + 18*p**4 - p**5 - 7*p**5 + 2*p**5 - 2*p**5.
-2*p**2*(p - 1)**2*(4*p - 1)
Let v(y) = 2 + y**2 + 0*y**2 + 3 - 4. Let i(j) be the second derivative of -j**4/6 + j**3/2 - 5*j**2/2 + j. Let p(q) = i(q) + 5*v(q). Factor p(w).
3*w*(w + 1)
Let f(p) be the first derivative of -2*p**6/15 - 12*p**5/25 + 16*p**3/15 - 20. Determine r so that f(r) = 0.
-2, 0, 1
Suppose 0*s + 4*l = 5*s - 40, s + 2*l + 6 = 0. Factor 12*o**2 - 12*o + s*o**3 - 3*o**3 - o**3 - 3*o**3.
-3*o*(o - 2)**2
Find w, given that 52/5*w**3 + 24/5 - 44/5*w**2 - 12/5*w**4 - 4*w = 0.
-2/3, 1, 3
Let d(m) be the third derivative of -m**7/140 + m**6/36 - m**5/30 + 7*m**3/6 - 6*m**2. Let l(v) be the first derivative of d(v). Let l(r) = 0. Calculate r.
0, 2/3, 1
Determine a, given that -6/5*a + 4/5 + 2/5*a**2 = 0.
1, 2
Let v(q) be the third derivative of 2*q**2 + 4/3*q**3 + 1/3*q**4 + 0*q + 0 + 1/30*q**5. Suppose v(s) = 0. Calculate s.
-2
Factor 6/7*y - 6/7*y**4 - 4/7*y**3 - 2/7*y**5 + 4/7*y**2 + 2/7.
-2*(y - 1)*(y + 1)**4/7
Suppose -2*l + 28 = 5*l. Let -1/2*k**2 - 19/2*k**l + 15/2*k**3 + 0 - k + 7/2*k**5 = 0. What is k?
-2/7, 0, 1
Let f be 6/(-10) - -13*(-3)/(-15). Solve -2/5*b**f + 1/5 + 1/5*b**4 + 1/5*b**5 + 1/5*b - 2/5*b**3 = 0 for b.
-1, 1
Let k = 119358 - 1076159/9. Let f = -215 - k. Find g, given that -8/9 + 2/9*g**5 - f*g**2 - 16/9*g + 10/9*g**4 + 14/9*g**3 = 0.
-2, -1, 1
Let x(r) be the second derivative of -r**5/110 - r**4/66 + r**3/33 + r**2/11 + 8*r. What is m in x(m) = 0?
-1, 1
Factor 4*x**2 - 9*x**3 + 3 + 3 + 3*x - 16*x**2.
-3*(x + 1)**2*(3*x - 2)
Let s(g) be the third derivative of 0 + 2*g**2 + 0*g**3 + 1/30*g**6 + 3/20*g**5 + 1/12*g**4 + 0*g. Let s(x) = 0. Calculate x.
-2, -1/4, 0
Let p(m) be the third derivative of -m**9/9072 + m**8/5040 + m**3/3 - m**2. Let c(w) be the first derivative of p(w). Factor c(h).
-h**4*(h - 1)/3
Solve 0*w + 2/7*w**4 + 0*w**2 + 0 + 4/7*w**3 = 0.
-2, 0
Suppose 91*i - 94*i = -9. What is w in -2/3 + 2*w**i + 10/3*w - 14/3*w**2 = 0?
1/3, 1
Let h(w) be the first derivative of w**7/126 + w**6/90 - w**5/20 - w**4/36 + w**3/9 - 2*w - 4. Let p(t) be the first derivative of h(t). Solve p(u) = 0.
-2, -1, 0, 1
Let j = 1 - 0. Suppose -7 = 2*x + 4*l - j, 0 = 2*x - 4*l - 18. Determine a, given that -2*a**2 - 2*a - 2/3*a**x - 2/3 = 0.
-1
Let y(o) = 26*o**3 + 15*o**2 - 60*o - 71. Let x(j) = -5*j**3 - 3*j**2 + 12*j + 14. Let k(l) = -11*x(l) - 2*y(l). Determine p, given that k(p) = 0.
-2, -1, 2
Let o(y) be the first derivative of -y**6/2 - 3*y**5/5 + 3*y**4/4 + y**3 - 10. Factor o(k).
-3*k**2*(k - 1)*(k + 1)**2
Let u(i) be the second derivative of -i**4/4 - 4*i**3 - 24*i**2 + 11*i. Suppose u(r) = 0. Calculate r.
-4
Let m = 693 + -1385/2. Find h such that -3/4 + m*h + 1/4*h**2 = 0.
-3, 1
Factor 0*n + n - 3*n**3 - 3*n**2 + 9*n**3 - 3*n**3 - n**4.
-n*(n - 1)**3
Let i(g) be the third derivative of g**8/112 + 3*g**7/70 + 3*g**6/40 + g**5/20 - g**2. Let i(n) = 0. Calculate n.
-1, 0
Factor -1/7*r**4 + 40/7 + 18/7*r**2 + 1/7*r**3 - 52/7*r.
-(r - 2)**3*(r + 5)/7
Let w(m) be the second derivative of m**6/55 + 29*m**5/110 + 3*m**4/2 + 45*m**3/11 + 54*m**2/11 + 4*m. Factor w(v).
2*(v + 3)**3*(3*v + 2)/11
Suppose 7 = n + 3. Let a(h) = 2*h**2 - 2*h + 4. Let m(b) = b**2 - 2*b + 3. Let g(q) = n*m(q) - 3*a(q). Suppose g(i) = 0. What is i?
-1, 0
Let f = 1 - -3. Let t(h) be the second derivative of 1/24*h**f + 0*h**2 + h + 1/12*h**3 + 0. Let t(n) = 0. What is n?
-1, 0
Let q = -76 + 307/4. Let h = 13/12 - q. Find j, given that h*j**2 + 1/3*j - 2/3 = 0.
-2, 1
Let f = 0 - -2. Let g be (-50)/(-63) + 12/(-54). Factor 0 + g*q**f - 2/7*q - 2/7*q**3.
-2*q*(q - 1)**2/7
Let p(c) = -c**2 - 9*c - 6. Let g(f) = -f**3 - 5*f**2 - 5*f - 3. Let j be g(-3). Let t be p(j). Factor -t*s**3 - 16*s - 9*s**2 + 2*s**4 + 26*s**2 + 7*s**2.
2*s*(s - 2)**3
Let s(x) = 2*x**3 + 3*x**2 + 4*x. Let f be (-7)/28 - (-23)/(-4). Let a(o) = -3*o**3 - 5*o**2 - 7*o. Let g(i) = f*a(i) - 10*s(i). Solve g(d) = 0.
-1, 0, 1
Let u be (-4)/(-5)*(25 + -20). Let l(j) be the first derivative of 2/39*j**3 - 1/13*j**2 + u - 2/13*j + 1/26*j**4. Factor l(y).
2*(y - 1)*(y + 1)**2/13
Let g be 4/6*(-60)/(-40). Let z(c) be the first derivative of -2/21*c**3 - 2/7*c - g - 2/7*c**2. Find h, given that z(h) = 0.
-1
Determine v, given that -14*v**5 - 12*v**2 + 6*v**3 - 3*v - 16*v**5 + 27*v**5 + 6 + 6*v**4 = 0.
-1, 1, 2
Let w be 2 - 6/((-3)/(-1)). Suppose w = a + 2 - 4. Let v - v**a + v**3 - 4*v + 4*v + 3*v**2 = 0. Calculate v.
-1, 0
Let n(w) be the second derivative of -w**7/8 - 37*w**6/120 + 7*w**5/80 + 11*w**4/16 + w**3/12 - w**2 - 2*w + 6. Solve n(o) = 0 for o.
-1, 4/7, 2/3
Factor 3/2*w**3 - 3/2*w + 1/2*w**2 - 1 + 1/2*w**4.
(w - 1)*(w + 1)**2*(w + 2)/2
Let p(m) be the second derivative of m**4/4 - 9*m**3 + 243*m**2/2 - 28*m. Factor p(v).
3*(v - 9)**2
Let w(l) be the first derivative of -l**7/147 + l**5/35 - l**3/21 + 3*l + 1. Let y(t) be the first derivative of w(t). Factor y(u).
-2*u*(u - 1)**2*(u + 1)**2/7
Let n(w) be the third derivative of w**5/480 + w**4/192 - w**3/24 - 8*w**2. Determine v, given that n(v) = 0.
-2, 1
Let r(m) be the first derivative of 1/9*m**3 + 8 + 2/3*m**2 + m. Factor r(q).
(q + 1)*(q + 3)/3
Let b(j) = -5*j**4 + 5*j**3 - 10*j**2 + j - 3. Let c(x) = -14*x**4 + 16*x**3 - 30*x**2 + 4*x - 8. Let l(m) = -8*b(m) + 3*c(m). Factor l(h).
-2*h*(h - 2)*(h - 1)**2
Let b(a) = a**2 - 6*a + 7. Let y be b(5). Let x(s) = 4*s**2 + 5*s + 1. Let f(r) = r**2 + r. Let i(c) = y*x(c) - 9*f(c). Solve i(g) = 0 for g.
-1, 2
Suppose 7 = 3*m - 2. Factor -g**m + 16 - g + 3*g**2 - 15 - 2*g.
-(g - 1)**3
Factor 2*p**3 + 4*p**5 - p**2 + 8*p**4 - 14*p**3 - 10*p**2 - 5*p**2 + 16*p.
4*p*(p - 1)**2*(p + 2)**2
Let f(l) = l. Let j = 10 + -7. Let r be f(j). Let 0*o + 2*o**2 + 4*o + 0*o**3 - 2*o**r = 0. Calculate o.
-1, 0, 2
Suppose -2 = 2*x, -3 + 1 = 3*z + 2*x. Find a such that -1/5*a**4 + z + 1/5*a**2 + 1/5*a**3 - 1/5*a = 0.
-1, 0, 1
Let z(d) be the first derivative of -d**7/105 - d**6/30 + d**4/6 + d**3/3 + 3*d**2 - 3. Let a(j) be the second derivative of z(j). Factor a(h).
-2*(h - 1)*(h + 1)**3
Suppose 0 = 3*n - 0*v + v - 6, -2*n = -3*v - 4. Let j be 7/n + 17 + -20. Let -k**3 + 1/2*k**5 - 1/2*k**4 + k**2 + 1/2*k - j = 0. What is k?
-1, 1
Factor 0 + 0*u + 3/8*u**2 - 3/8*u**3.
-3*u**2*(u - 1)/8
Let s(n) = 11*n**2 + 6. Let h(d) = -2*d**2 - 1. Let m(y) = -34*h(y) - 6*s(y). Suppose m(o) = 0. Calculate o.
-1, 1
Suppose j - 2*f - 15 = -4*j, -3 = -j + 4*f. Let u be (-22)/(-18)*3 - j. Factor 0 + 0*m**3 - 2/3*m**2 + u*m**4 + 0*m.
2*m**2*(m - 1)*(m + 1)/3
Let b(g) be the first derivative of -4*g**3/3 - 4*g**2 + 12*g - 5. Factor b(l).
-4*(l - 1)*(l + 3)
Let j(o) = -o**3 - 7*o**2 + 8*o + 3. Let v(h) = h**2 + 10*h + 8. Let k be v(-8). Let l be j(k). Find u such that 5/3*u**l - 4/3*u**2 - 2/3*u**4 + 0 + 1/3*u = 0.
0, 1/2, 1
Let g(p) be the first derivative of 81/2*p**2 + 9*p**3 + 5 + 3/4*p**4 + 81*p. Suppose g(j) = 0. Calculate j.
-3
Factor -96/7*g + 768/7 + 3/7*g**2.
3*(g - 16)**2/7
Let g(d) be the first derivative of -2 + 0*d + 1/6*d**2 + 2/9*d**3 + 1/12*d**4. Let g(b) = 0. Calculate b.
-1, 0
Factor -d**3 - 14*d**3 - 5*d**4 + 2 - 2.
-5*d**3*(d + 3)
Let k(r) be the second derivative of r**4/6 - 4*r**3/3 + 3*r**2 - 5*r. Factor k(v).
2*(v - 3)*(v - 1)
Let v(w) = 2*w**2 - 2*w - 2. Let s be v(2). Let -2*o + 5 + o**3 - 5 - o**s = 0. What is o?
-1, 0, 2
Suppose 30 + 2 = -4*d. Let p(c) = c**2 + 9*c + 10. Let j be p(d). Factor 0*f + 0*f**j - 2/7*f**5 + 0*f**4 + 2/7*f**3 + 0.
-2*f**3*(f - 1)*(f + 1)/7
Factor 0 - 1/3*f**2 - f.
-f*(f + 3)/3
Find m, given that 65 + 7*m**2 + 19*m**2 - 9 + 148*m - 6*m**2 = 0.
-7, -2/5
Let y(p) be the first derivative of -3 - 3/8*p**4 - p + 4/3*p**3 - 3/4*p**2. Suppose y(z) = 0. What is z?
-1/3, 1, 2
Suppose 1 + 23 = 12*b. Determine c so that 11/2*c**4