7*g + 0 + 8/7*g**3 + k*g**4.
2*g*(g + 1)**2*(g + 2)/7
Factor 2/3*v + 0 + 2/3*v**3 - 4/3*v**2.
2*v*(v - 1)**2/3
Determine y so that 44*y**3 + 16/3*y - 154/3*y**4 + 0 + 104/3*y**2 - 98/3*y**5 = 0.
-2, -2/7, 0, 1
Let w(f) be the first derivative of 4*f**5/25 + f**4/5 - 16*f**3/15 - 8*f**2/5 - 21. Determine m, given that w(m) = 0.
-2, -1, 0, 2
Let z = -160 - -162. Let -3/5*u**z + 0 - 2/5*u - 36/5*u**5 + 17/5*u**3 + 12/5*u**4 = 0. What is u?
-1/2, -1/3, 0, 1/2, 2/3
Let k(d) be the third derivative of d**5/450 + d**4/30 + 19*d**2. Find r such that k(r) = 0.
-6, 0
Let d(u) be the second derivative of 1/3*u**2 - u + 1/15*u**5 + 5/18*u**4 + 4/9*u**3 + 0. Determine p so that d(p) = 0.
-1, -1/2
Let o be 4 + (3 - 108/16). Factor -o*f**2 + 1/4*f + 1/2.
-(f - 2)*(f + 1)/4
Let v(a) be the third derivative of a**9/241920 + a**8/40320 - a**5/12 - 2*a**2. Let y(k) be the third derivative of v(k). Factor y(u).
u**2*(u + 2)/4
Let h(k) be the third derivative of -k**8/20160 - k**7/3780 + k**6/2160 + k**5/180 + k**4/8 - 7*k**2. Let z(q) be the second derivative of h(q). Solve z(j) = 0.
-2, -1, 1
Let q = 0 - -2. Factor 1 - 6*f**q - 12*f - 2*f**3 + f**3 - 9.
-(f + 2)**3
What is g in 0 - 6/7*g + 2/7*g**2 = 0?
0, 3
Let m(j) be the second derivative of -5*j**7/3 + 31*j**6/15 + 43*j**5/10 - 35*j**4/6 - 8*j**3/3 + 4*j**2 - 10*j - 2. Find h such that m(h) = 0.
-1, -2/5, 2/7, 1
Let w(b) = -8*b - 157. Let p be w(-20). Determine d so that 0 + 27/4*d**2 + 3/2*d - 3*d**4 + 9/4*d**p = 0.
-1, -1/4, 0, 2
Let k(n) = -n**2 - 21*n + 48. Let b be k(-23). Find y, given that 1/3*y**b + 4/3 + 4/3*y = 0.
-2
Let q = 1 + 8. Suppose 4*v = 3*v. Find s, given that v*s**2 - 6*s**2 - s**2 - 2 - q*s = 0.
-1, -2/7
Let y = -49894/168861 + -10/1419. Let z = y + 10/17. Factor -2/7*g**4 + 0 - 4/7*g**3 - z*g**2 + 0*g.
-2*g**2*(g + 1)**2/7
Let h be (-28)/6*18/(-21). Suppose 2/5*g**h + 0*g + 0*g**2 + 0 + 1/5*g**3 = 0. Calculate g.
-1/2, 0
Let r - 2*r**2 + r + 3*r**2 = 0. Calculate r.
-2, 0
Suppose 0 = 31*g - 23*g. Let z(h) be the first derivative of -1/12*h**4 + 0*h**2 - 2 + g*h + 1/9*h**3. What is x in z(x) = 0?
0, 1
Let p = 2 + 1. Suppose s - 3*s**3 + p - 3 + 2*s**3 = 0. Calculate s.
-1, 0, 1
Let n(v) be the second derivative of v**5/30 - 5*v**4/18 + v**3/3 + 3*v**2 + 11*v. Factor n(k).
2*(k - 3)**2*(k + 1)/3
Let q(b) be the third derivative of -b**6/24 + b**5/6 - 5*b**4/24 - 34*b**2. Let q(p) = 0. What is p?
0, 1
Let d = -149 + 299/2. Let 1/2*p - 1/2*p**2 - d*p**3 + 1/2 = 0. Calculate p.
-1, 1
Let k(z) = z**3 + 7*z**2 + 8*z + 8. Let q be k(-6). Let s be q/6 + (-8)/(-3). Let -2 - w + s + w**3 = 0. What is w?
-1, 0, 1
Let p(c) be the second derivative of -c**6/180 - c**5/30 - c**4/24 + c**3/9 + c**2/3 - 8*c. Factor p(n).
-(n - 1)*(n + 1)*(n + 2)**2/6
Factor 0 - 4/5*m + 2/5*m**2.
2*m*(m - 2)/5
Let -8 + 16/3*s**4 - 56/3*s**2 + 0*s**3 - 4/3*s**5 + 68/3*s = 0. Calculate s.
-2, 1, 3
Let t(y) be the first derivative of -y**6/360 - y**5/90 - y**4/72 + y**2 - 1. Let u(q) be the second derivative of t(q). Factor u(x).
-x*(x + 1)**2/3
Let g be (-78)/5*(-6)/4. Let p = g - 23. Factor 0*m - p*m**2 + 2/5.
-2*(m - 1)*(m + 1)/5
Let w = 21 + -45. Let k be (-6)/(-9) + 4/w. Suppose -1/4 - 1/4*l**4 + k*l**2 - 1/4*l**5 - 1/4*l + 1/2*l**3 = 0. What is l?
-1, 1
Let c be (-1)/(7 + -16) + 2/(-18). Let c - 2/15*m - 2/15*m**2 = 0. What is m?
-1, 0
Let l(g) = g + 7. Let q be l(-3). Let f(p) be the second derivative of 1/6*p**3 + 1/15*p**6 + 0*p**5 - 1/6*p**q + 0 - 2*p - 1/42*p**7 + 0*p**2. Solve f(h) = 0.
-1, 0, 1
Let l(o) be the third derivative of -o**7/525 + o**6/225 - o**5/450 + 22*o**2 + o. Let l(g) = 0. What is g?
0, 1/3, 1
Factor -3*m**2 + 16 - 5 - 11 - 6*m.
-3*m*(m + 2)
Let t(n) be the second derivative of n**6/75 + 4*n**5/75 + n**4/30 - 2*n**3/45 + 18*n. Determine d, given that t(d) = 0.
-2, -1, 0, 1/3
Let u(s) be the third derivative of s**8/672 - s**6/80 - s**5/60 + s**2. Let u(l) = 0. Calculate l.
-1, 0, 2
Let t(h) be the first derivative of 1/180*h**5 + 0*h + 3 + 0*h**4 + 0*h**2 + 1/1080*h**6 - 2/3*h**3. Let u(y) be the third derivative of t(y). Solve u(g) = 0.
-2, 0
What is c in -2*c**5 - 4*c**3 + 4*c**4 + 4*c**3 - 3*c**3 + c**3 = 0?
0, 1
What is y in y - 1/4*y**2 - 1 = 0?
2
Suppose 2*s + 3*f = -15, -63 = 2*s + 3*s - f. Let m be ((-4)/s)/((-1)/(-6)). Suppose 3*y**4 + 0*y**4 - m*y**4 - y**2 = 0. What is y?
-1, 0, 1
Let s be ((-1)/4)/(4/((-576)/81)). Factor 0*b + s*b**2 + 8/3*b**4 - 10/9*b**5 - 2*b**3 + 0.
-2*b**2*(b - 1)**2*(5*b - 2)/9
Let o(s) be the third derivative of -4/27*s**3 + 0 + 0*s - 3*s**2 - 1/270*s**5 - 1/27*s**4. Solve o(d) = 0.
-2
Let r be ((-1)/4)/(12/(-16)). Let x = -31 - -34. Factor 2/3 - r*v**x + 1/3*v - 2/3*v**2.
-(v - 1)*(v + 1)*(v + 2)/3
Suppose -4*h = -j - 15, -4*j + 3 = 5*h - 0*j. Factor 3*l + h - 3/4*l**2 - 3/4*l**3.
-3*(l - 2)*(l + 1)*(l + 2)/4
Let z(h) be the third derivative of 3*h**2 + 1/28*h**4 + 0*h + 0 - 1/14*h**3 - 1/140*h**6 + 0*h**5 + 1/490*h**7. Factor z(j).
3*(j - 1)**3*(j + 1)/7
Let z be (-32)/3 + (-1)/3. Let q = 13 + z. Determine k so that -1/2*k + 1/2*k**q + 0 = 0.
0, 1
Let m(u) = -u**2 - 6*u + 40. Let k be m(-10). What is i in k - i**2 + 2/3*i = 0?
0, 2/3
Find b, given that 0*b**4 - b**3 + 5*b**4 + 2*b**2 - 6*b**4 = 0.
-2, 0, 1
Let m(i) be the second derivative of i**4/4 + i**3/2 - 3*i**2 - 17*i. Find a such that m(a) = 0.
-2, 1
Let o be -1*4/(12/(-33)). Determine u, given that -o*u - 2 + 14*u - 3*u**3 - 2*u**2 + 4*u**2 = 0.
-1, 2/3, 1
Let j(g) be the second derivative of -g**7/2940 + g**6/630 + 7*g**3/6 + 7*g. Let i(f) be the second derivative of j(f). What is l in i(l) = 0?
0, 2
Let n(w) be the third derivative of -2*w**7/525 - w**6/200 + w**5/60 + w**4/40 - w**3/30 + w**2. Find y, given that n(y) = 0.
-1, 1/4, 1
Suppose -2*c - 21 = -25. Let 2/3*s**3 + 16/3 + 8*s + 4*s**c = 0. What is s?
-2
Let x(q) be the first derivative of q**6/6 + 6*q**5/5 - q**4/4 - 2*q**3 + 19. Find a such that x(a) = 0.
-6, -1, 0, 1
Let v be (-270)/35 - (-4)/(-14). Let i = v - -11. Factor 6/5*c**4 + 0*c + 0 + 18/5*c**5 - 16/5*c**i - 8/5*c**2.
2*c**2*(c - 1)*(3*c + 2)**2/5
Let a(j) be the third derivative of -j**6/600 - j**5/200 + 5*j**3/6 - 3*j**2. Let x(y) be the first derivative of a(y). Factor x(v).
-3*v*(v + 1)/5
Let q(a) = 4*a**5 + a**4 - 11*a**3 - 4*a**2 + 4*a. Let p(s) = -s**5 - s**4 + s**3 - s. Let v(l) = -5*p(l) - q(l). Find h such that v(h) = 0.
-1, 0
Let c(m) be the second derivative of m**4/24 - m**3/3 + m**2 + 8*m. Find b, given that c(b) = 0.
2
Let h(x) = -7*x**2 - 2*x. Let r(v) = -3*v**2 - v. Suppose -b + 3 = -2. Let q(y) = b*r(y) - 2*h(y). Factor q(p).
-p*(p + 1)
Let z(m) = m**5 - 3*m**4 + 9*m**3 + 7*m**2 - 6*m. Let s(u) = u**5 + u**2. Let k(a) = 4*s(a) - z(a). Find q such that k(q) = 0.
-2, -1, 0, 1
Let a(y) = -y**3 + 7*y**2 - 9*y - 7. Let j be a(3). Factor -1/2*r**j + 0 - r**3 + 1/2*r.
-r*(r + 1)*(2*r - 1)/2
Factor 30 - 20 + 2 + 14*a + 2*a**2.
2*(a + 1)*(a + 6)
Let z(o) be the third derivative of o**8/84 + 2*o**7/35 + o**6/10 + o**5/15 - 3*o**2. Determine k, given that z(k) = 0.
-1, 0
Find o, given that 3375/4 - 1/4*o**3 + 45/4*o**2 - 675/4*o = 0.
15
Let k(c) be the first derivative of -10*c**5/19 + 35*c**4/19 - 46*c**3/19 + 28*c**2/19 - 8*c/19 - 18. Find t, given that k(t) = 0.
2/5, 1
Solve 0 + 0*i**2 + 1/4*i - 1/4*i**3 = 0 for i.
-1, 0, 1
Let c(d) be the first derivative of 2*d**6/3 - 4*d**5/5 - d**4 + 4*d**3/3 - 27. Factor c(f).
4*f**2*(f - 1)**2*(f + 1)
Let m be 86/30 - (-76)/570. Factor 0 - 3/4*r**5 - r**4 + 0*r - 1/4*r**m + 0*r**2.
-r**3*(r + 1)*(3*r + 1)/4
Let j(s) be the second derivative of s**7/700 + s**6/225 - s**5/300 - s**4/30 - 3*s**3/2 - 9*s. Let b(r) be the second derivative of j(r). Factor b(i).
2*(i + 1)**2*(3*i - 2)/5
Let k = -4 + 4. Let n = k + 4. What is h in 1 - 1 + 2*h**2 - n*h + 2 = 0?
1
Let w(r) be the second derivative of r**7/126 + r**6/30 + r**5/30 - 46*r. Let w(z) = 0. Calculate z.
-2, -1, 0
Let w(n) be the third derivative of n**8/84 - n**6/15 + n**4/6 + 5*n**2. Factor w(m).
4*m*(m - 1)**2*(m + 1)**2
Suppose 2*a = -0*a. Suppose 2*l = 6 - a. Determine x, given that -4*x**4 + 4*x**2 + 2*x**5 - 2*x + 3*x**2 - l*x**2 = 0.
-1, 0, 1
Let r(b) be the first derivative of b**8/2016 + b**7/1260 - b**6/360 + 4*b**2 + 5. Let g(k) be the second derivative of r(k). 