*5/55 - d**4/22 + 4*d**3/33 + 5. What is g in z(g) = 0?
-1, 0, 1, 2
Let t(q) = 4*q - 4. Let c(x) = x**2 + x + 2. Let y(h) = 4*c(h) + t(h). What is z in y(z) = 0?
-1
Let u(t) be the first derivative of t**5/90 - t**3/9 + 5*t**2 - 12. Let x(s) be the second derivative of u(s). Factor x(k).
2*(k - 1)*(k + 1)/3
Factor -8/5*r - 14/5*r**3 + 32/5*r**2 + 0.
-2*r*(r - 2)*(7*r - 2)/5
Let k(b) = -39 + 10*b**2 + 17*b + 11*b**2 - 22*b**2. Let v be k(14). Solve -9/4*t**4 + 0*t + 3/4*t**3 - 3/4*t**5 - v + 21/4*t**2 = 0 for t.
-2, -1, 1
Suppose -2*w = -5*k - 3*w + 11, 4*k + w - 8 = 0. Let f be (-5104)/(-3872) + (2/11)/1. Factor 3/2*n**k + 0*n**2 - f*n - 3/4 + 3/4*n**4.
3*(n - 1)*(n + 1)**3/4
Let m(s) be the first derivative of 2*s**3/27 + 2*s**2 + 34*s/9 + 175. Factor m(n).
2*(n + 1)*(n + 17)/9
Let n(p) be the second derivative of p**7/33 + 4*p**6/55 + 3*p**5/110 - p**4/33 - 80*p. Factor n(j).
2*j**2*(j + 1)**2*(7*j - 2)/11
Let j(t) be the third derivative of 3/20*t**6 - 1/70*t**7 - 3/5*t**5 + 5/4*t**4 - 3/2*t**3 + 0*t + 5*t**2 + 0. Find y such that j(y) = 0.
1, 3
Determine x, given that 0 + 29/5*x**2 + 4/5*x + 31/5*x**3 + 6/5*x**4 = 0.
-4, -1, -1/6, 0
Suppose -19*x + 18*x - s = 0, 2*x - 15 = 3*s. Factor 0 - 1/7*i + 2/7*i**2 - 1/7*i**x.
-i*(i - 1)**2/7
Let y(z) be the first derivative of -7*z**6/780 - 3*z**5/130 - z**4/78 - 11*z**2 + 5. Let i(w) be the second derivative of y(w). Find x, given that i(x) = 0.
-1, -2/7, 0
Let p = 27 + -22. Suppose 3*u + 2*d - 5 = 2, -2*d - p = -u. Factor 12 - 6*k - u*k**2 + 3/2*k**3.
3*(k - 2)**2*(k + 2)/2
Let c = -41 - -62. Factor -11*n**3 + 6*n**3 - c*n**3 + 7*n**2 - 4*n - 37*n**2.
-2*n*(n + 1)*(13*n + 2)
Suppose 15*k - 6*k - 27 = 0. Let b be ((-4)/(-12))/((-2)/(-12)). Determine g, given that -g**b + k*g**2 - g + 3*g = 0.
-1, 0
Suppose 53 = -33*u + 119. Determine s so that 3/4*s**u - 1/4*s**4 + 0 + 0*s**3 + 1/2*s = 0.
-1, 0, 2
Let f(z) = -z**2 + 8*z + 2. Let x be f(8). Determine m, given that -m - 9 + 9 - 3*m**2 + 4*m**x = 0.
0, 1
Let v(a) be the second derivative of -5*a**7/14 - 11*a**6/6 + 50*a**4/3 + 40*a**3 + 40*a**2 - 20*a + 3. Let v(s) = 0. Calculate s.
-2, -1, -2/3, 2
Let k(p) = -p**2 + p - 1. Let g(i) = -i**3 + 11*i**2 - 4*i + 5. Let a(w) = -2*g(w) - 22*k(w). Suppose a(f) = 0. What is f?
-3, 1, 2
Let k(y) = -12*y**4 + 24*y**3 - 70*y**2 - 24*y + 72. Let s(c) = -c**4. Let o(l) = 2*k(l) - 20*s(l). Factor o(m).
-4*(m - 6)**2*(m - 1)*(m + 1)
Find p, given that -1/2*p**2 - p + 0 = 0.
-2, 0
Suppose -61*p + 15 = -64*p, 7*q - 5*p - 53 = 0. Factor 0*a**3 + 0*a**2 + 1/5*a**q + 0 + 0*a.
a**4/5
Factor 0*p + 0 + 5/3*p**4 + 3*p**3 - 2/3*p**2.
p**2*(p + 2)*(5*p - 1)/3
Let s = -90 + 92. Let d be 4 + -4 - s/4*-1. Let 1/2*y + 0 - 1/2*y**2 - d*y**3 + 1/2*y**4 = 0. What is y?
-1, 0, 1
Let d(r) be the third derivative of 7*r**6/60 + 19*r**5/30 - 17*r**4/6 + 8*r**3/3 - 60*r**2. Factor d(t).
2*(t - 1)*(t + 4)*(7*t - 2)
Let z(b) be the first derivative of -1/18*b**3 + 15 - 1/4*b**2 - 1/3*b. Find v, given that z(v) = 0.
-2, -1
Factor 4/7*v**4 - 2/7 + 6/7*v**2 + 2/7*v - 10/7*v**3.
2*(v - 1)**3*(2*v + 1)/7
Let q = -24019/3 - -8007. Determine b so that 1/3*b**2 - q*b + 0 = 0.
0, 2
Let r = 6 + -4. Suppose 2*c**5 - 8*c**5 + 222*c**3 - 21*c**5 - 36*c**4 - 12 - 240*c**r + 93*c = 0. Calculate c.
-4, 1/3, 1
Let a(q) = 12*q**2 + 8*q - 6. Let z(w) = -11*w**2 - 7*w + 7. Suppose 6 - 21 = 5*s. Let u(l) = s*a(l) - 2*z(l). Factor u(t).
-2*(t + 1)*(7*t - 2)
Let m = 45 - 42. Let -30*v**2 - m*v**4 - 22*v**2 + 52*v**2 + 6*v**3 = 0. Calculate v.
0, 2
Let a be (45/20 + -1)/((-1)/(-4)). Suppose 5*q - n = -4 + 3, -2*n + 2 = -a*q. Solve 0*z**2 - 1/6*z**5 - 1/6*z**4 + 0*z + 0*z**3 + q = 0 for z.
-1, 0
Let u(c) be the first derivative of c**4/4 + 5*c**3/3 - 3*c**2 - 17. Let j(o) = -15*o**3 - 81*o**2 + 96*o. Let l(z) = -2*j(z) - 33*u(z). Factor l(x).
-3*x*(x - 1)*(x + 2)
Let f(n) be the first derivative of -1/6*n**2 - 3*n - 4/9*n**4 + 4/9*n**3 - 7. Let b(h) be the first derivative of f(h). Find g, given that b(g) = 0.
1/4
Factor -2 + 10 + 0 + 6*o + o**2.
(o + 2)*(o + 4)
Suppose 9 = -a + 10. Let g be a*-4*(10 - 12). Solve g*k**3 - 3*k + 0*k - 4*k**4 + 4*k**2 - k - 4*k = 0 for k.
-1, 0, 1, 2
Let f be 20/12 + -2*(4/(-24) - 0). Solve -3/4*i**4 + 0*i - 1/4*i**f + 1/4*i**5 + 3/4*i**3 + 0 = 0 for i.
0, 1
Suppose -2*g - 16 = -2*b - 0, b + 2*g = -7. Let s(r) be the second derivative of -2*r + 1/12*r**4 + 0*r**2 + 1/2*r**b + 0. Factor s(x).
x*(x + 3)
Let n be ((-80)/36 - -2)/(0 + -2). Let k(o) be the second derivative of -1/30*o**5 + 0*o**2 + 6*o + 0*o**4 + n*o**3 + 0. Suppose k(m) = 0. What is m?
-1, 0, 1
Let r(g) be the second derivative of -9*g**5/20 - 287*g**4/4 - 3408*g**3 + 3456*g**2 + 46*g - 4. Suppose r(c) = 0. What is c?
-48, 1/3
Let w = -3/539 + 1087/1617. Let t(v) be the first derivative of -2*v**2 + w*v**3 + 5 - 6*v. Suppose t(d) = 0. Calculate d.
-1, 3
Solve 0*d**3 + 0 + 39/5*d**2 + 36/5*d - 3/5*d**4 = 0.
-3, -1, 0, 4
Let 8/3*p**2 + 4*p**3 + 0*p + 0 + 1/3*p**5 + 2*p**4 = 0. Calculate p.
-2, 0
Let g be (-22)/(-20) - (-2)/(-2). Let x(j) be the second derivative of 0*j**3 + 1/18*j**4 + 4*j - 1/63*j**7 + 0 + 1/15*j**6 + 0*j**2 - g*j**5. Factor x(c).
-2*c**2*(c - 1)**3/3
Suppose 2*b - 119 = -5. Factor 66*n**2 - 21*n + b*n**2 - 18 - 114*n**2.
3*(n - 3)*(3*n + 2)
Let s be 2/4*(-11 - -19). Solve -19*n**3 + 4*n**3 - n**4 - n**4 - 3*n**s = 0 for n.
-3, 0
Let h = 21/10 - 8/5. Let x be (-6)/(-8)*(-588)/(-882). Let -h*d**2 + 0 - x*d = 0. What is d?
-1, 0
Let n be (4/48)/(13 + 714/(-56)). Find g such that -2/3*g**2 - 4/3*g**3 - n*g**5 + 4/3*g**4 - 2/3 + 5/3*g = 0.
-1, 1, 2
Let f = -16195/2 - -8100. Factor 2 + f*x**2 - 1/4*x**3 - 17/4*x.
-(x - 8)*(x - 1)**2/4
Let k(q) = 9*q**4 - q**3 - q**2 + 17*q. Let u(l) = 3*l**4 + 6*l. Let o be 8/(0 - 2) + 18 + -22. Let d(j) = o*u(j) + 3*k(j). What is r in d(r) = 0?
-1, 0, 1
Suppose 5*q - 257 - 93 = 0. Factor -70*n + 4*n**3 - 4*n**4 + q*n + 8*n**2.
-4*n**2*(n - 2)*(n + 1)
Factor 0*o + 1/2*o**3 + 0 - 7/2*o**2.
o**2*(o - 7)/2
Let r be -6 + -11 + 568/32. Suppose r*s**3 + 9/2*s**2 - 3/8*s**5 - 27/8*s + 0 - 3/2*s**4 = 0. Calculate s.
-3, 0, 1
Suppose 4*z + h = 39, -27 = -0*z - 2*z - 3*h. Suppose -15*u = -z*u - 12. What is i in 4 - 14/3*i**u + 38/3*i = 0?
-2/7, 3
Let q(k) be the second derivative of k**7/630 - k**6/30 + 3*k**5/10 + 5*k**4/4 + 9*k. Let d(p) be the third derivative of q(p). Find g, given that d(g) = 0.
3
Let f(z) = 9*z**2 - 30*z + 29. Let u(g) = 35*g**2 - 120*g + 115. Let m(o) = 15*f(o) - 4*u(o). Factor m(h).
-5*(h - 5)*(h - 1)
Let h be 140170/116095 - 2/31. Suppose 0*w + h - 2/7*w**2 = 0. What is w?
-2, 2
Let b(z) be the second derivative of 3*z**7/98 - 2*z**6/35 - 3*z**5/140 + z**4/14 + 127*z. Factor b(w).
3*w**2*(w - 1)**2*(3*w + 2)/7
Let g(r) be the first derivative of r**3/3 + 2*r**2 + 4*r + 6. Find n, given that g(n) = 0.
-2
Let j(d) be the third derivative of -d**7/1470 + d**6/210 - d**5/84 + d**4/84 - 40*d**2. Factor j(a).
-a*(a - 2)*(a - 1)**2/7
Let r(d) be the first derivative of 7 + 28/9*d**3 + 196/3*d**2 + 1/18*d**4 + 5488/9*d. Suppose r(z) = 0. What is z?
-14
Suppose -14 = -2*o - 5*o. Suppose -7*y + 15 = -o*y. Find k such that 203 - 203 + 6*k**2 + 3*k**y = 0.
-2, 0
Let a = 3 + 0. Let t(s) = 15*s**2 + 35*s. Let p(l) = -2*l**2 - 5*l. Let m(z) = a*t(z) + 20*p(z). Factor m(u).
5*u*(u + 1)
Let m be -11 - 13549/(-1224) - 3/(-8). Determine t, given that m*t**4 - 2/3*t**2 + 2/9*t - 2/9*t**3 + 2/9 = 0.
-1, -1/2, 1
Let w = 36253/4 - 9062. Factor w*d + 1/2*d**2 - 3/4.
(d + 3)*(2*d - 1)/4
Factor -3622*v - 36*v**2 - 4*v**3 + 1800*v + 1910*v.
-4*v*(v - 2)*(v + 11)
Let y(u) be the third derivative of 1/5*u**5 + 1/15*u**6 + 3*u**2 + 8/3*u**3 - 2/105*u**7 + 0 + 0*u - 4/3*u**4. Factor y(f).
-4*(f - 2)*(f - 1)**2*(f + 2)
Factor 6/5*y - 3/5 - 3/5*y**2.
-3*(y - 1)**2/5
Let c(l) be the second derivative of l**4/6 - 3*l**3 + 14*l**2 + l + 25. Factor c(d).
2*(d - 7)*(d - 2)
Let k(u) be the first derivative of 3*u**4/4 + 9*u**3 - 63*u**2/2 + 33*u + 32. Factor k(o).
3*(o - 1)**2*(o + 11)
Let m be -10*(-26)/1430*(3 + -1). Determine s so that m*s + 2/11*s**2 - 16/11 = 0.
-4, 2
Let m(b) be the second derivative of -2/3*b**4 + 0 + 0*b**2 + 1/15*b**6 + 0*b**5 + 0*b**3 - 17*b. Factor m(s).
2*s**2*(s - 2)*(s + 2)
Suppose -146*t + 136*t + 20 = 0. Factor