. Calculate a.
-1, 0, 1/4, 1
Let u(h) be the first derivative of -4*h**3/3 + 4*h - 25. Let u(o) = 0. Calculate o.
-1, 1
Let x be (15 - -1) + (-3)/3. Suppose 2*v - 7*v + x = 0. Solve -2*s**v - 3*s + 2*s - 2*s**4 + 3*s + 2*s**2 = 0 for s.
-1, 0, 1
Let n(m) be the third derivative of -m**5/20 + 3*m**4/4 - 4*m**3 + 16*m**2. Find v such that n(v) = 0.
2, 4
Let r be (-377)/(-195) + 6/(-10). Factor -r*x + 2/3*x**2 + 0.
2*x*(x - 2)/3
Let -4/15*f**2 - 4/15 + 2/3*f - 2/15*f**5 + 8/15*f**4 - 8/15*f**3 = 0. What is f?
-1, 1, 2
Let x(r) = r**3 - 7*r**2 + 7*r + 1. Let f be x(6). Let h = 10 - f. Solve -d**h - d**3 + 2*d + 4*d**3 + 4*d**2 = 0 for d.
-1, 0
Let d(b) = b**5 + 3*b**4 - 9*b**3 - 3*b**2 + 10*b - 6. Let o(r) = r**5 - r**4 - r**3 - r**2 + r - 1. Let n(p) = -d(p) + 2*o(p). Suppose n(y) = 0. What is y?
-1, 1, 2
Suppose -4*a + 2*a = -10. Solve -3*l**2 + l**3 - l**4 - 2*l**4 + a*l**2 + 0*l**2 = 0 for l.
-2/3, 0, 1
Let l(h) = -4*h - 1. Let i be l(-2). Let m = i + -7. Factor -6*u**5 - 8/3*u + m - 8/3*u**2 + 4*u**4 + 22/3*u**3.
-2*u*(u - 1)**2*(3*u + 2)**2/3
Let -3/2 - 2*a - 1/2*a**2 = 0. What is a?
-3, -1
Let i(g) be the third derivative of -g**6/8 - 17*g**5/20 - 3*g**4/4 + 51*g**2. Suppose i(k) = 0. Calculate k.
-3, -2/5, 0
Let i(t) be the second derivative of -t**5/40 - t**4/24 + t**3/12 + t**2/4 - 3*t. Suppose i(g) = 0. What is g?
-1, 1
Let w = 164/657 + -2/73. Let 0 - 2/9*g**2 - w*g = 0. What is g?
-1, 0
Let z(o) be the second derivative of 0 - 1/2*o**2 - 1/2*o**3 + 1/42*o**7 - 5*o + 1/10*o**6 - 1/6*o**4 + 1/10*o**5. Determine v so that z(v) = 0.
-1, 1
Let f(p) be the first derivative of 3*p**5/20 + 3*p**4/4 + p**3 - 6*p + 7. Let i(y) be the first derivative of f(y). Factor i(w).
3*w*(w + 1)*(w + 2)
Find z such that 8*z - 40*z**2 - 6*z**3 + z**3 + 11*z**4 - 3*z**5 + 25*z**2 + 4 = 0.
-1, -1/3, 1, 2
Suppose 0*z + 32 = -4*d - z, 4*z - 16 = 2*d. Let p be (-34)/d + 4/(-16). Let -2*u**2 + p*u - 4*u = 0. What is u?
0
Let z be (-528)/10*(-10)/3. Let o = -1582/9 + z. Factor 0 + o*f**2 + 4/9*f.
2*f*(f + 2)/9
Suppose 4*c - 7 - 6 = -f, -f - 5*c = -16. Let x be (-3)/2*(-1 - f). What is t in x*t + 5*t**2 - t + 2*t**3 + t**3 = 0?
-1, -2/3, 0
Solve 10/3 + 32/3*t + 2*t**2 = 0 for t.
-5, -1/3
Let m(i) be the third derivative of i**5/10 - 11*i**4/36 + 2*i**3/9 + i**2 + 21. Factor m(c).
2*(c - 1)*(9*c - 2)/3
Let z(k) = -6*k**2 + k. Let w be z(1). Let t = w + 8. Solve -2*i - 20*i**t + 3*i**2 + 4*i + 0*i = 0.
-1/4, 0, 2/5
Let c(p) = -p**2 - 7*p + 10. Suppose -2*g - 2*g - 32 = 0. Let o be c(g). Factor 9*w + 0*w - w**2 + w**o - 6 - 3*w**3.
-3*(w - 1)**2*(w + 2)
Let t(u) be the second derivative of -u**9/30240 - u**8/4480 - u**7/2520 + 5*u**4/12 - 2*u. Let y(i) be the third derivative of t(i). Factor y(j).
-j**2*(j + 1)*(j + 2)/2
Let h = -37/2 + 21. Solve -3/2*f**3 + 1/2 - h*f**2 - 1/2*f = 0 for f.
-1, 1/3
Let x(p) be the first derivative of 3/4*p**2 + 1/4*p**3 - 3 + 0*p. Let x(m) = 0. Calculate m.
-2, 0
Let i(n) be the first derivative of -2*n**5/15 - n**4/6 + 2*n**3/9 + n**2/3 + 5. Factor i(j).
-2*j*(j - 1)*(j + 1)**2/3
Let a(o) be the second derivative of -1/12*o**4 + 5*o + 0*o**2 + 1/3*o**3 + 0. Suppose a(v) = 0. Calculate v.
0, 2
Let r(f) be the second derivative of -f**7/5880 - f**6/840 - f**5/280 - f**4/6 - 5*f. Let z(v) be the third derivative of r(v). Factor z(n).
-3*(n + 1)**2/7
Let s(h) = -725*h**3 + 220*h**2 + 725*h - 265. Let p(y) = 33*y**3 - 10*y**2 - 33*y + 12. Let v(l) = -45*p(l) - 2*s(l). Determine j, given that v(j) = 0.
-1, 2/7, 1
Let l(m) = -m**2 + 8*m - 6. Let a be l(5). Let d be (-20)/(-72) - (-2)/a. Find s, given that -1/2*s**5 + 3/2*s**4 + 3/2*s - s**2 - s**3 - d = 0.
-1, 1
Let m(o) be the first derivative of -o**3/24 - o**2/4 - 3*o/8 - 2. Find z such that m(z) = 0.
-3, -1
Suppose -2*y + 13 = 3*x, 2*x + 7 = 2*y - 1. Let s(u) = u + 1. Let i be s(1). Suppose -k**3 - k**5 + 3*k**4 - i*k - 1 + y*k - 2*k**2 - k**3 = 0. What is k?
-1, 1
Let j(s) = s**2 + 9*s + 20. Let q be j(-6). Determine y, given that 0 + 2/5*y**3 - 4/5*y**q + 2/5*y = 0.
0, 1
Let p(s) be the first derivative of -2/25*s**5 + 0*s - 1/5*s**2 + 2 - 2/5*s**3 - 3/10*s**4. Factor p(r).
-2*r*(r + 1)**3/5
Let t(y) be the first derivative of -y**5/10 + 5*y**4/32 - y**3/24 + 7. Factor t(h).
-h**2*(h - 1)*(4*h - 1)/8
Suppose -3*b - 35 = 4*x - 9*x, -9 = -x + b. Suppose 10 = w + x*w. Factor -2/5*y**3 - 12/5*y**w - 16/5 - 24/5*y.
-2*(y + 2)**3/5
Let f(v) be the first derivative of 3*v**4/4 - 2*v**3 - 3*v**2/2 + 6*v + 24. Let f(i) = 0. Calculate i.
-1, 1, 2
Suppose -y + 14 = 4*v, 10*y - 5*y - 22 = -4*v. What is r in -2/3*r + 1/3*r**y - 1 = 0?
-1, 3
Let c(o) = o**3 + 7*o**2 - 14*o - 46. Let l be c(-8). Determine i, given that -32/3*i**l - 16*i - 6 = 0.
-3/4
Let f = 6 + -4. What is o in 17 - 17 + f*o - o**2 = 0?
0, 2
Let m(d) be the third derivative of d**5/15 - d**4/2 + 4*d**3/3 - 11*d**2. Factor m(t).
4*(t - 2)*(t - 1)
Let a be 117/(-104)*8/(-6). Let v**2 - 3/2*v + v**3 - a*v**4 + 1/2*v**5 + 1/2 = 0. Calculate v.
-1, 1
Let y be 3/9*(0 + 12). Suppose 4*c - 10*c + 3*c**2 + y - c**2 = 0. What is c?
1, 2
Let z(c) be the first derivative of -c**6/30 - 2*c**5/25 + c**4/10 + 8*c**3/15 + 7*c**2/10 + 2*c/5 + 5. Factor z(w).
-(w - 2)*(w + 1)**4/5
Factor 0 + 0*w**3 - 3/4*w**2 + 1/4*w**4 + 1/2*w.
w*(w - 1)**2*(w + 2)/4
Let k(a) = a + 4 + 19*a + 19*a**2 + 0. Let v(q) = -q**2. Suppose -2*g = -m - 2, 0 = -g + 2*m + 2*m + 15. Let d(i) = g*k(i) + 6*v(i). Let d(h) = 0. What is h?
-2/5
Let u(q) be the first derivative of q**4 - 8*q**3/3 - 9. Factor u(b).
4*b**2*(b - 2)
Let w(b) = 9*b**2 + 6*b - 1. Let j be w(-1). Let -1/3*f**j - 1/3 + 2/3*f = 0. What is f?
1
Let u(q) be the third derivative of 1/300*q**6 + 0*q + 0*q**3 - 1/300*q**5 - 1/840*q**8 + 1/1050*q**7 - 2*q**2 + 0 + 0*q**4. Suppose u(k) = 0. Calculate k.
-1, 0, 1/2, 1
Let a be (4 + (-8)/3)/(2/3). Find f such that -3/2*f - 3/4 - 9/4*f**4 + 3*f**a + 3/2*f**3 = 0.
-1, -1/3, 1
Let s = -27 - -27. Factor 0*r - 2/7*r**4 + s + 0*r**2 + 0*r**3.
-2*r**4/7
Suppose -4*i = i - 35. Suppose 3*d + 3*a + 14 = i*d, 0 = 5*d - 2*a - 14. Let 8/5 + 8/5*j + 2/5*j**d = 0. What is j?
-2
Let l(n) = -n**3 - n**2 + n - 2. Let s(c) = -5*c**3 - c**2 + 2*c - 8. Let q(z) = -4*l(z) + s(z). Factor q(b).
-b*(b - 2)*(b - 1)
Find q, given that -2*q + 2/3*q**2 + 4/3 = 0.
1, 2
Let z(v) be the third derivative of v**6/40 - 9*v**5/80 + v**4/16 - 5*v**2. Factor z(a).
3*a*(a - 2)*(4*a - 1)/4
Factor 0 - 8/9*z**4 - 4/9*z**3 + 0*z**2 + 0*z - 4/9*z**5.
-4*z**3*(z + 1)**2/9
Suppose 66*f**4 + 7*f**5 + 13*f**2 + 5*f**5 - f**2 - 15*f**4 + 60*f**3 = 0. What is f?
-2, -1/4, 0
Let o(n) be the second derivative of -n**4/36 + n**3/18 + n**2/3 - 7*n. Find p, given that o(p) = 0.
-1, 2
Let g(i) = 1. Let x(f) = 6*f**4 + 3*f**3 - 6*f**2 - 3*f + 6. Let n(k) = 6*g(k) - x(k). Factor n(z).
-3*z*(z - 1)*(z + 1)*(2*z + 1)
Let o(i) = 1. Let u(l) = 5*l**4 + 5*l**3 - 5*l**2 - 5*l + 2. Let t(g) = -2*o(g) + u(g). Factor t(k).
5*k*(k - 1)*(k + 1)**2
Factor -12/5*b**2 + 3/5*b**3 + 9/5*b + 0.
3*b*(b - 3)*(b - 1)/5
Suppose -5*u + 40 - 15 = t, 4*t - 46 = -2*u. Suppose 3*q = -5*j + 28, j + 7*q - t = 2*q. Factor -j*a**2 - 2 + 6*a + 6*a - 5*a.
-(a - 1)*(5*a - 2)
Solve 5*r**3 - r**3 - r**3 + 0*r**3 - 6*r**2 = 0.
0, 2
Find k, given that -12/11*k - 2/11*k**2 - 18/11 = 0.
-3
Suppose 0 = 19*f - 7*f - 36. Let l(i) be the first derivative of 1/8*i**4 + i + 5/4*i**2 + 3 + 2/3*i**f. Let l(y) = 0. What is y?
-2, -1
What is f in 40 - 101*f**3 - 56*f**3 - 245*f**4 - 300*f + 610*f**2 + 52*f**3 = 0?
-2, 2/7, 1
Let i(m) be the third derivative of m**7/210 + m**6/40 + m**5/20 + m**4/24 + 10*m**2. Factor i(b).
b*(b + 1)**3
Suppose 35 = n - 6*n. Let r be 2/n - (-40)/70. Solve 0 + r*s + 0*s**2 - 2/7*s**3 = 0 for s.
-1, 0, 1
Suppose 18*s - 3*s = 0. Suppose 8/7*g + s + 4/7*g**2 = 0. What is g?
-2, 0
Let z(h) be the first derivative of -h**7/630 + h**5/90 - h**3/18 - h**2 - 1. Let d(p) be the second derivative of z(p). Factor d(s).
-(s - 1)**2*(s + 1)**2/3
Let n = 7 + -7. Factor 2*x**2 + x**2 + 10*x - 7*x + n*x.
3*x*(x + 1)
Factor 2*c**2 + 32*c - 48 - 15*c**3 + 2*c**2 + 11*c**3.
-4*(c - 2)**2*(c + 3)
Let h(t) be the third derivative of t**8/80640 + t**7/20160 - t**5/20 + 2*t**2. Let z(q) be the third derivative of h(q). Factor z(k).
k*(k + 1)/4
Suppose -b = q - 