25 - 3*u**4/20 + u**3/5 + 3*u**2/10 - 5. Find f, given that i(f) = 0.
-1, 0, 1
Let y(v) be the second derivative of -v**7/105 + v**5/40 + v**4/48 + v**2 - v. Let q(c) be the first derivative of y(c). Find n such that q(n) = 0.
-1/2, 0, 1
Let m(j) be the second derivative of -j**7/35 - 2*j**6/15 - 7*j**5/50 + 2*j**4/15 + 4*j**3/15 - 8*j. What is l in m(l) = 0?
-2, -1, 0, 2/3
Let g be (-110)/(-36) - 3 - 1/(-6). Solve -2/3*w**2 + 8/9*w - g = 0.
1/3, 1
Solve -4*i - 7 - 1 + 5 - i**2 = 0 for i.
-3, -1
Suppose -5*i = 5 - 0. Let y(u) = -u**4 + u**3 - u**2 - 3*u. Let a(j) = -j**4 + 2 - 5 - j**3 + 4 - j**2. Let b(n) = i*y(n) + 2*a(n). Suppose b(t) = 0. What is t?
-2, -1, 1
Let p(v) = -v + 1. Let n be p(-3). Factor 9*q**5 - 4*q**n + 4*q**4 - 5*q**4 - 3*q**3 - q**4.
3*q**3*(q - 1)*(3*q + 1)
Let o = 9 - 4. Suppose o*j - 2 = -5*i - 7, 3*j - 3*i - 21 = 0. Factor 0*n + 0 - 2/7*n**2 - 4/7*n**j - 2/7*n**4.
-2*n**2*(n + 1)**2/7
Let j(u) be the third derivative of -1/18*u**4 + 0*u + 0 - 4*u**2 + 1/15*u**5 + 0*u**3. Factor j(i).
4*i*(3*i - 1)/3
Let q(g) be the third derivative of g**7/735 + g**6/210 - g**5/210 - g**4/42 + 2*g**2. Factor q(p).
2*p*(p - 1)*(p + 1)*(p + 2)/7
Let a(n) = -n - 3. Let r be a(-6). Factor 8*b**2 - 9*b**r + 0*b**2 + 11*b**3 + 8*b.
2*b*(b + 2)**2
Let t(s) be the first derivative of -s**5/10 - s**4/6 + 4*s - 7. Let v(i) be the first derivative of t(i). Factor v(f).
-2*f**2*(f + 1)
Suppose -5*v = k + 3, 5*v = -4*k - 3 - 9. Suppose -12/5*y**3 - 3/5*y**2 + 0*y + v = 0. Calculate y.
-1/4, 0
Let a(d) be the second derivative of 5*d**7/84 - d**5/2 - 5*d**4/12 + 5*d**3/4 + 5*d**2/2 - 2*d + 8. Factor a(z).
5*(z - 2)*(z - 1)*(z + 1)**3/2
Let c(o) = -2*o**3 + 2*o - 1. Let b be c(1). Let x = b + 7. Suppose 3*t**2 + t**2 - 2*t**2 + 4 + x*t = 0. What is t?
-2, -1
Let m = 149 + -89. Let b be 35/m - 3/9. Factor b*y**2 + 0 - 1/4*y.
y*(y - 1)/4
Let p(s) be the third derivative of s**6/1620 + s**5/540 - s**3/2 - s**2. Let l(c) be the first derivative of p(c). Find g such that l(g) = 0.
-1, 0
Let h(x) be the second derivative of -2*x**6/15 - 2*x**5/5 + x**4/3 + 4*x**3/3 + 27*x. Factor h(u).
-4*u*(u - 1)*(u + 1)*(u + 2)
Factor 12*l**3 - 3*l + 4*l**2 - 5*l - 16 - 10*l**3.
2*(l - 2)*(l + 2)**2
Let v be (1 + (-25)/15)*1*-3. Solve -4/5 + 2*w**v - 14/5*w + 8/5*w**3 = 0.
-2, -1/4, 1
Let o(s) be the second derivative of -s**4/12 + 19*s**3/27 - 4*s**2/9 - s + 9. Factor o(c).
-(c - 4)*(9*c - 2)/9
Let l(c) be the second derivative of -5*c**9/1512 - c**8/280 + c**7/210 + c**3/6 - c. Let j(r) be the second derivative of l(r). Factor j(h).
-2*h**3*(h + 1)*(5*h - 2)
Factor k + 5*k**4 - 5*k - 5*k**4 - 4*k**5 + 8*k**3.
-4*k*(k - 1)**2*(k + 1)**2
Let t(z) be the first derivative of 3*z**5/5 + 3*z**4/4 - z**3 - 3*z**2/2 - 9. Determine n so that t(n) = 0.
-1, 0, 1
Let x be (-28)/(1 + -5) + -1. Factor -x*a**4 - 13*a**3 + 10*a**3 - 2*a**5 - a**5.
-3*a**3*(a + 1)**2
Let d(i) = -16*i**2 - 30*i - 45. Let l(y) be the second derivative of y**4/4 + y**3 + 9*y**2/2 + 6*y. Let h(t) = 2*d(t) + 11*l(t). Factor h(w).
(w + 3)**2
Let y(k) be the first derivative of k**7/1260 + k**6/540 - k**5/90 + 2*k**3/3 + 1. Let z(v) be the third derivative of y(v). Factor z(h).
2*h*(h - 1)*(h + 2)/3
Let m(k) = 10*k**2 + 19*k + 9. Let r(h) = 1 - 6*h + 2 - 6 - 3*h**2. Let i(j) = 2*m(j) + 7*r(j). Determine p, given that i(p) = 0.
-3, -1
Let y(z) = -z**3 + 7*z**2 + 16*z + 21. Let j be y(9). Factor 2/5 + 2/5*w**5 + 2/5*w + 2/5*w**4 - 4/5*w**j - 4/5*w**2.
2*(w - 1)**2*(w + 1)**3/5
Let a(j) be the first derivative of 1 - 2*j + 7/3*j**3 + 5/2*j**2. What is q in a(q) = 0?
-1, 2/7
Let q(h) = h**2 - 7*h - 8. Let r be q(8). Suppose y - 7 + 5 = r. Factor -3/4*n - 1/4*n**y - 1/2.
-(n + 1)*(n + 2)/4
Let o(y) be the first derivative of -9/4*y**4 + 3 + 6*y - 3/5*y**5 - y**3 + 9/2*y**2. Factor o(u).
-3*(u - 1)*(u + 1)**2*(u + 2)
Let y(r) be the second derivative of r**5/120 - r**4/24 - r**3/36 + r**2/4 - 3*r. Factor y(k).
(k - 3)*(k - 1)*(k + 1)/6
Let j(m) be the first derivative of m**7/840 - m**5/120 + 2*m**3/3 - 5. Let w(t) be the third derivative of j(t). Factor w(i).
i*(i - 1)*(i + 1)
Let g(m) be the second derivative of m**9/37800 + m**8/8400 - m**6/900 - m**5/300 + m**4/6 - 3*m. Let d(k) be the third derivative of g(k). Factor d(w).
2*(w - 1)*(w + 1)**3/5
Suppose 2*i + 2*y + 4 = 0, 4*y = -6 - 2. Let g(q) = q**3 - 4*q**2 + 3*q + 4. Let j be g(3). Factor u - 4*u**2 + 4*u**5 - 3*u**5 + 6*u**3 + i*u**2 - 4*u**j.
u*(u - 1)**4
Let o(g) = -g**4 - g**3 - g - 1. Let p(s) = -2*s**4 + 4*s**3 - 17*s - 5. Let b(x) = 5*o(x) - p(x). Factor b(y).
-3*y*(y - 1)*(y + 2)**2
Factor 50*a + 115/3*a**2 + 20/3*a**3 - 15.
5*(a + 3)**2*(4*a - 1)/3
Let q(u) be the first derivative of 0*u - 2/15*u**5 - 2/3*u**3 + 1/3*u**2 - 2 + 1/2*u**4. Factor q(k).
-2*k*(k - 1)**3/3
Let b = -63 - -253/4. Find c such that 0*c + b - 1/4*c**2 = 0.
-1, 1
Suppose 18 = 5*b - 3*m, 5*b - 5*m - 18 - 2 = 0. Suppose -6/11*h**2 + 6/11*h**4 - 2/11*h + 0 + 2/11*h**b = 0. What is h?
-1, -1/3, 0, 1
Let i(u) be the third derivative of -u**8/112 - u**7/14 - u**6/5 - u**5/5 + u**2 - 3*u. Factor i(m).
-3*m**2*(m + 1)*(m + 2)**2
Let u = 0 - -2. Suppose -3*t + 26 - 7 = -2*g, g + 11 = u*t. What is k in -2*k + 0*k**4 + 6*k**2 + 2*k**4 + 0*k - 6*k**t = 0?
0, 1
Let b(k) be the first derivative of 20*k**3/3 + 6*k**2 - 8*k - 18. Let b(g) = 0. Calculate g.
-1, 2/5
Let y(n) = -n - 1. Let b be y(-5). Find c such that 5*c - 4*c + 7*c**b - 3*c - 7*c**2 + 2*c**3 = 0.
-1, -2/7, 0, 1
Suppose 27 = p - 19. Let i = p - 136/3. What is a in -1/3*a**2 - 1/3*a + i = 0?
-2, 1
Determine g, given that -6/7*g**2 - 12/7*g - 1/7*g**3 - 8/7 = 0.
-2
Find f such that -1/2*f**3 - 7/4*f - 2*f**2 - 1/2 + 1/4*f**5 + 1/2*f**4 = 0.
-1, 2
Let x(l) = -15*l**5 + 5*l**4 - 5*l**2 - 5*l. Let h(d) = d**4 + d**2 + d. Let a(f) = -5*h(f) - x(f). Determine n, given that a(n) = 0.
0, 2/3
Let z = -5 - -21. Suppose 0 = -u + v + 9, 5*v + 5 = -u - z. Factor 4*n - u*n + 2*n**3.
2*n**3
Let y = -57/112 + 15/16. Factor -6/7*l**2 + 3/7*l + 0 + y*l**3.
3*l*(l - 1)**2/7
Let n = -353/5 - -71. Factor n*b - 1/5*b**2 + 0.
-b*(b - 2)/5
What is y in 8*y + 20 - 8*y - 4*y**2 - 7*y - 9*y = 0?
-5, 1
Find l, given that 0*l + 3/5*l**3 + 0 + 2*l**2 - 1/5*l**4 = 0.
-2, 0, 5
Let q(b) be the third derivative of b**5/180 + b**4/24 + 8*b**2. Factor q(u).
u*(u + 3)/3
Let j(l) = -5*l**3 + 18*l**2 - 4*l - 4. Let q(h) = 5*h**3 - 17*h**2 + 4*h + 4. Let z(a) = 4*j(a) + 5*q(a). Factor z(g).
(g - 2)*(g - 1)*(5*g + 2)
Let k be -1 + 2 - (-141)/(-329). Determine v so that -2/7*v + 0 - 2/7*v**3 + k*v**2 = 0.
0, 1
Let v(w) be the first derivative of 3/10*w**5 + 3/4*w**2 + 4 - 3/8*w**4 + 0*w - 1/2*w**3. Factor v(z).
3*z*(z - 1)**2*(z + 1)/2
Let g(o) = -25*o**4 + 8*o**3 - o**2. Let j(x) = -6*x**4 + 2*x**3. Let y(l) = -4*g(l) + 18*j(l). Let y(s) = 0. Calculate s.
-1/2, 0, 1
Let q(k) be the first derivative of -27*k**5/25 + 21*k**4/20 + 2*k**3/5 + 2. Let q(g) = 0. What is g?
-2/9, 0, 1
Let z(o) be the second derivative of o**4/42 + o**3/7 + 2*o**2/7 - 6*o. Let z(b) = 0. What is b?
-2, -1
Suppose -2*v + 0 = -6. Let a be 4/(-6)*(-6 + v). Determine c so that c**2 - 4*c**a + 2*c**2 = 0.
0
Let w(r) be the third derivative of 5*r**8/1176 + 8*r**7/735 - r**6/105 - r**5/21 - r**4/84 + 2*r**3/21 - 14*r**2. Solve w(l) = 0.
-1, 2/5, 1
Let z(n) be the third derivative of -n**8/1344 + n**7/420 + n**6/120 - n**5/120 - n**4/32 - 22*n**2. Find s, given that z(s) = 0.
-1, 0, 1, 3
Let m be -4*(2/(-24))/1. Let h(s) be the first derivative of 0*s - m*s**3 + 2 - 1/2*s**2. Determine a so that h(a) = 0.
-1, 0
Let d be 16/40*(-50)/24. Let n = d - -4/3. Factor -1/2*k**2 - 1/4*k**5 - 1/4*k + n*k**3 + 1/4*k**4 + 1/4.
-(k - 1)**3*(k + 1)**2/4
Let i(s) be the second derivative of s**7/231 - s**6/55 - s. Find h such that i(h) = 0.
0, 3
Let x(b) be the third derivative of b**8/112 - 2*b**7/35 + 3*b**6/40 + 23*b**2. Factor x(l).
3*l**3*(l - 3)*(l - 1)
Let y(a) = 26*a**4 + 30*a**3 - 86*a**2 - 14*a + 28. Let q(b) = 9*b**4 + 10*b**3 - 29*b**2 - 5*b + 9. Let r(o) = -8*q(o) + 3*y(o). Determine t so that r(t) = 0.
-3, -2/3, 1
Suppose -2*q + 0 = -4*l + 2, -3 = 3*q. Let t(p) be the second derivative of p + 0*p**2 + 0*p**3 + l + 1/6*p**4. Factor t(z).
2*z**2
Solve 2/9*r**2 + 2/9 - 4/9*r = 0 for r.
1
Solve -2/13