*4 + 0. Find z such that f(z) = 0.
-3, -1, 0
Let c be (17 - 155/10)*(2 - (-10)/(-45)). Factor 0 + 2*d - c*d**2 + 2/3*d**3.
2*d*(d - 3)*(d - 1)/3
Let s be (8 + 3 + -11)/(-1 - -2). Determine q so that s + 0*q - 4/7*q**2 = 0.
0
Let j(x) = -10*x**2 - 125*x - 115. Let f(q) = 5*q**2 + 63*q + 58. Let u(w) = -5*f(w) - 3*j(w). Suppose u(z) = 0. Calculate z.
-11, -1
Let w(h) be the first derivative of h**5/120 - h**4/72 + h + 8. Let i(n) be the first derivative of w(n). Factor i(y).
y**2*(y - 1)/6
Let c be 3 + 6 + -3 - 2. Factor -6*j**2 + 5*j**2 + c*j**2 - 2*j**2 - j.
j*(j - 1)
Let s be -12 + 110/(-105)*-12. Factor -2/7 - s*m - 2/7*m**2.
-2*(m + 1)**2/7
Let t(g) be the third derivative of -7/240*g**6 + 0 + 1/24*g**5 + 11/12*g**4 + 13*g**2 + 0*g + g**3. Solve t(w) = 0.
-2, -2/7, 3
Let v = -22 + 24. Let u be (12/8 + 1)*v. Let 3*s**5 - 6*s**4 + s**3 + 2*s**2 + 4*s**4 - 4*s**u = 0. What is s?
-2, -1, 0, 1
Let n(r) be the second derivative of 0*r**2 - 13*r + 0 - 1/60*r**6 + 3/40*r**5 + 0*r**4 - 1/3*r**3. Solve n(i) = 0.
-1, 0, 2
Factor -4*c**2 + 2*c - 3 - 5*c**2 - 9 + 11*c**2.
2*(c - 2)*(c + 3)
Let d be 0/(-13 - -22) - -3. What is g in 5/2*g**2 + 1/2 + d*g = 0?
-1, -1/5
Let s(r) be the first derivative of -r**3/21 - 23*r**2/7 - 529*r/7 + 79. Factor s(g).
-(g + 23)**2/7
Let o(d) be the first derivative of d**6/10 - 18*d**5/25 + 33*d**4/20 - 2*d**3/5 - 18*d**2/5 + 24*d/5 + 46. Factor o(c).
3*(c - 2)**3*(c - 1)*(c + 1)/5
Let n(c) be the first derivative of -c**6/14 + 3*c**5/35 + 3*c**4/4 - 13*c**3/7 + 9*c**2/7 - 58. Let n(a) = 0. What is a?
-3, 0, 1, 2
Let w(m) = -2*m**2 + m**2 + 0*m**3 - 3*m**3 + 3*m**5 + 14*m**4 - 6*m**2. Let x(u) = 4*u**5 + 14*u**4 - 2*u**3 - 6*u**2. Let s(r) = 6*w(r) - 7*x(r). Factor s(h).
-2*h**3*(h + 1)*(5*h + 2)
Let x(r) = -27 + 27 - 2*r - r**2. Let b(p) = -2*p**2 - 5*p. Let d(c) = -4*b(c) + 9*x(c). Factor d(i).
-i*(i - 2)
Let g(p) be the third derivative of p**8/20160 - p**7/1260 - p**6/144 + p**5/5 + 12*p**2. Let n(x) be the third derivative of g(x). Suppose n(r) = 0. What is r?
-1, 5
Solve 0*j + 3/8*j**3 + 0 + 3*j**2 - 3*j**4 - 3/8*j**5 = 0 for j.
-8, -1, 0, 1
Solve 36300/7 + 660/7*d + 3/7*d**2 = 0 for d.
-110
Let t be 102/68 + 15/(-42). Find j such that -2/7 - t*j + 2/7*j**2 + 8/7*j**3 = 0.
-1, -1/4, 1
Let f(u) = -12*u**2 + 25*u - 2. Let d(x) = x**2 - x - 2. Let w(y) = -4*d(y) - f(y). Solve w(o) = 0.
5/8, 2
Factor -405*h - 3*h**3 + 19 - 37*h**2 + 3*h**3 + 2*h**3 + 385*h.
(h - 19)*(h + 1)*(2*h - 1)
Let w be (-8)/(-6)*((-13)/90 + 8/18). Factor 6/5 - 8/5*n + w*n**2.
2*(n - 3)*(n - 1)/5
Let v(b) = -b**4 + 2*b**3. Let t(h) = -10*h**4 + 15*h**3 - 15*h**2 + 55*h - 30. Let z(a) = t(a) - 15*v(a). Factor z(c).
5*(c - 3)*(c - 1)**2*(c + 2)
Suppose -14*f - p + 13 = -9*f, 3*p = 2*f + 5. Suppose 1/3*i**f + 0 - 1/3*i**4 + 0*i + 0*i**3 = 0. Calculate i.
-1, 0, 1
Let d(y) be the second derivative of 21/5*y**5 - 71/3*y**4 + 0 - 21*y - 16*y**2 - 100/3*y**3. Determine k so that d(k) = 0.
-1/3, -2/7, 4
Let u(b) be the third derivative of -b**7/490 - b**6/56 - 9*b**5/140 - b**4/8 - b**3/7 + 290*b**2. Solve u(m) = 0.
-2, -1
Let b(m) be the first derivative of 3*m**5 + 85*m**4/4 + 95*m**3/3 - 105*m**2/2 - 90*m - 57. Solve b(l) = 0 for l.
-3, -2/3, 1
Let h(l) be the third derivative of l**5/30 - 5*l**4/4 - 34*l**3/3 + 36*l**2 + 2. Suppose h(u) = 0. Calculate u.
-2, 17
Factor g**2 - g**2 + 5*g + 5*g**2 - 7*g**2 - 6 + 3*g.
-2*(g - 3)*(g - 1)
Let c(x) be the second derivative of -1/9*x**4 - 17*x + 4*x**2 - 10/9*x**3 + 0. Factor c(y).
-4*(y - 1)*(y + 6)/3
Let d(o) = -7*o**3 + 20*o**2 - 20*o - 2. Let s(h) = h. Let i be s(2). Let x(q) = -8*q**3 + 20*q**2 - 20*q - 3. Let k(w) = i*x(w) - 3*d(w). Solve k(j) = 0.
0, 2
Let q(u) be the first derivative of -u**6/24 - u**5/5 - 3*u**4/16 + u**3/3 + u**2/2 - 78. Find i such that q(i) = 0.
-2, -1, 0, 1
Suppose 5*t - 15 = x, 0*x + 10 = 5*t - 2*x. Let -3*g**2 + t*g**2 + 3*g + 3*g + 2 - 9*g = 0. What is g?
1, 2
Let a(x) be the first derivative of -5*x**3/3 + 5*x**2/2 + 30*x - 2. Factor a(p).
-5*(p - 3)*(p + 2)
Suppose 3*d = 4*d - 17. Solve -d*o**2 + 23*o + o**2 - 26*o + 23*o - 6 = 0 for o.
1/2, 3/4
Let b be (2314/14 + 5)/1. Let n = -170 + b. Factor 2/7 + 0*r + 0*r**3 + n*r**4 - 4/7*r**2.
2*(r - 1)**2*(r + 1)**2/7
Suppose 5*f + 1927*g = 1922*g - 15, 2*f = -3*g - 12. Factor 9/4*i + 0 + 3/2*i**2 - 3/4*i**f.
-3*i*(i - 3)*(i + 1)/4
Let a be (12/(-42))/((-5)/35). Let i(t) be the second derivative of 5*t + 0*t**a + 1/33*t**3 - 5/66*t**4 + 2/55*t**5 + 0. Factor i(u).
2*u*(u - 1)*(4*u - 1)/11
Let s = -3 + 32. Factor s*x**5 + 10*x**2 - 10*x**4 - 4*x - 34*x**5 + 9*x.
-5*x*(x - 1)*(x + 1)**3
Let r(n) be the second derivative of -4/3*n**3 - 1/3*n**4 - 2*n**2 + 47*n - 1. Factor r(f).
-4*(f + 1)**2
Let n(z) be the second derivative of z**4/22 + 151*z**3/33 - 102*z**2/11 - 253*z. What is y in n(y) = 0?
-51, 2/3
Let u(p) be the second derivative of p**4/28 - 10*p**3/7 + 150*p**2/7 + 18*p - 1. Suppose u(i) = 0. What is i?
10
Suppose s + 34 = r + 41, -3*r = 4*s. Factor 2/3*d + 2/9*d**s + 0 + 8/9*d**2.
2*d*(d + 1)*(d + 3)/9
Let t be 212/26 + (-40)/5. Factor -4/13*f - t*f**2 - 2/13.
-2*(f + 1)**2/13
Let t(x) = -17*x**2 + 48*x. Let v = -7 + 3. Let u(o) = 8*o**2 - 24*o. Let j(g) = v*t(g) - 9*u(g). Find z such that j(z) = 0.
0, 6
Let i(z) = -50*z**2 - 4845*z - 166695. Let d(w) = -7*w**2 - 692*w - 23813. Let x(g) = -15*d(g) + 2*i(g). Determine a so that x(a) = 0.
-69
Let y(r) be the third derivative of -r**6/60 - r**5/15 - r**4/12 + 2*r**2 + 37*r. Find k such that y(k) = 0.
-1, 0
Let x(v) = -3*v**2 + 4*v + 2 - 3*v**4 - 1 + 3 - 2*v**3 + 0*v. Let p(b) = 2*b**4 + 2*b**3 + 2*b**2 - 3*b - 3. Let t(h) = -4*p(h) - 3*x(h). Solve t(k) = 0.
0, 1
Let o = 3256 - 3254. Find h such that 2/7*h**5 - 2*h**o + 18/7*h**3 + 0 - 10/7*h**4 + 4/7*h = 0.
0, 1, 2
Suppose -g - 5*s = -18, 3 = -12*g + 16*g - 3*s. Factor -1/7*j**g - 5/7*j**2 - 4/7*j + 0.
-j*(j + 1)*(j + 4)/7
Let c(s) be the first derivative of s**3/3 - 5*s**2 + 23*s + 4. Let f be c(7). Let -3/2*u**5 + 9/2*u**4 + 3/2*u**f - 9/2*u**3 + 0*u + 0 = 0. Calculate u.
0, 1
Let h = 36 - 30. Suppose 0 = 10*n - h*n - 56. Let 6*b + n - 17 - 3*b**2 + 12 = 0. Calculate b.
-1, 3
Determine n, given that -3/2*n**2 + 0 + 0*n = 0.
0
Let l(t) = t**3 + t**2 - 1. Let j(c) = c**3 - 2*c**2 + 3*c - 3. Let a(s) = s + 8. Let r be a(-5). Let y(b) = r*l(b) - j(b). Suppose y(g) = 0. What is g?
-3, 0, 1/2
Let m = 2195/3 - 731. Find l such that m*l**4 - 1/3*l**3 + 0 - 2/3*l - 5/3*l**2 = 0.
-1, -1/2, 0, 2
Let p(s) be the third derivative of -s**6/40 + s**4/8 - 118*s**2. Factor p(v).
-3*v*(v - 1)*(v + 1)
Let n(d) be the second derivative of 0*d**2 + 2/33*d**4 - 2/165*d**6 + 5 + 4/33*d**3 - 3/110*d**5 + 1/231*d**7 + 4*d. Factor n(t).
2*t*(t - 2)**2*(t + 1)**2/11
Let c = -14853/2 - -7431. Factor -c - 69/4*z - 21/4*z**2.
-3*(z + 3)*(7*z + 2)/4
Let r(c) = -4*c**4 - 16*c**3 - 28*c**2 + 60*c - 12. Let p(t) = t**3 - t**2 + t - 1. Let n(a) = -12*p(a) + r(a). Suppose n(d) = 0. Calculate d.
-6, -2, 0, 1
Let l = -51 - -56. Let 15*b**3 + 9*b**4 + 0*b**3 + 15*b**2 - 5*b**4 + b**4 + l*b = 0. Calculate b.
-1, 0
Let h = -1083/7 + 155. Let t be 24/(-7) + -6*(-10)/15. Factor t*s**2 + 2/7*s - h.
2*(s + 1)*(2*s - 1)/7
Factor -2117*d + 1162*d - 220 + 1055*d + 5*d**2.
5*(d - 2)*(d + 22)
Let v(c) be the first derivative of c**6/3 - 8*c**5/5 + 2*c**4 + 4*c**3/3 - 5*c**2 + 4*c + 99. Solve v(q) = 0.
-1, 1, 2
Let -100*f**3 - f**4 - 120*f + 5*f**5 + 196*f**2 + 31*f**3 - 7*f**3 - 3*f**4 - f**5 = 0. Calculate f.
-5, 0, 1, 2, 3
Let g = 66 + -65. Let u(c) = c**4 - c**2 + c. Let v(f) = 5*f**4 + f**3 - 9*f**2 + 7*f. Let i be (-1*1)/(1/4). Let d(a) = g*v(a) + i*u(a). Factor d(x).
x*(x - 1)**2*(x + 3)
Let t(u) be the third derivative of u**7/630 - u**6/180 - 2*u**5/45 + u**4/4 - u**3/2 + 64*u**2. Factor t(d).
(d - 3)*(d - 1)**2*(d + 3)/3
Let n(s) be the second derivative of 0 - 1/48*s**4 + 1/6*s**3 + 0*s**2 + 48*s. Factor n(d).
-d*(d - 4)/4
Let m(a) be the first derivative of a**6/960 - a**4/64 + 2*a**3/3 - 10. Let k(d) be the third derivative of m(d). Factor k(w).
3*(w - 1)*(w + 1)/8
Let r(q) be the third derivative of 0*q + 16*q**2 - 5/6*q**6 + 1/3*q**5 + 8/3*q**3 + 0 + 8/3*q**4. Find v such that r(v) = 0.
-2/5, 1
Let x(u) = 2*u**2 - 2*u - 1. Let z(a) = -2*a**3 + 56*a**2 - 148