 2*v + 713. Find h such that m(h) = 0.
-4, -1, 0, 2, 3
Suppose -3*q - 4*w = -53, -9*w = -q - 7*w + 1. Suppose -15*s = -q*s - 12. Suppose 0*y - 2/5*y**2 + 1/5*y**s + 0 + 1/5*y**4 = 0. Calculate y.
-2, 0, 1
Let r be ((-25)/(-45) - (-318)/(-54))*(-6)/20. Factor r*a**3 - 8/5*a + 12/5 + 4/5*a**4 - 16/5*a**2.
4*(a - 1)**2*(a + 1)*(a + 3)/5
Let r(f) be the first derivative of -2*f**3 + 4*f**2 + 0*f**4 - 2 + 8*f + 1/5*f**5. Let h(y) be the first derivative of r(y). Factor h(m).
4*(m - 1)**2*(m + 2)
Let p = -3046/5 + 613. Let g = p + -17/5. Factor 0 + 0*u - g*u**4 + 2/5*u**3 + 0*u**2.
-2*u**3*(u - 1)/5
Let z(q) = -54*q**4 + 12*q**3 + 770*q**2 + 528*q - 792. Let g(b) = 5*b**4 - b**3 - 70*b**2 - 48*b + 72. Let i(p) = 68*g(p) + 6*z(p). Factor i(j).
4*(j - 3)*(j + 2)**2*(4*j - 3)
Let s be ((-2)/4)/(4/(-24)). Factor -t - 4*t + t + s*t + t**2.
t*(t - 1)
Factor 36/5*s**2 - 108/5*s + 96/5 - 3/5*s**3.
-3*(s - 8)*(s - 2)**2/5
Suppose -j**3 + j + 3/2*j**2 + 0 = 0. What is j?
-1/2, 0, 2
Find b such that 34*b**2 - 40*b**3 - 2*b**2 - 50*b - 18*b**2 + 81*b**2 - 5*b**4 = 0.
-10, 0, 1
Let h = 285 + -863/3. Let t = 3 + h. Factor 0 + 2*z**2 - 3*z - t*z**3.
-z*(z - 3)**2/3
Let d(n) be the second derivative of n**4/8 + 13*n**3/4 + 9*n**2 + 17*n. Factor d(a).
3*(a + 1)*(a + 12)/2
Let o be 2/6 - ((-28592)/(-10332) + -3). Let c = o + 2/369. Suppose c - 2/7*f - 4/7*f**2 + 2/7*f**3 = 0. What is f?
-1, 1, 2
Let b be -6 + 0*(-3)/15. Let j be (3 - 1)*6/(36 + b). Factor 4/5*t - j*t**2 + 0.
-2*t*(t - 2)/5
Let g(m) be the third derivative of 11*m**6/280 + 6*m**5/35 + 15*m**4/56 + m**3/7 + 120*m**2. Factor g(q).
3*(q + 1)**2*(11*q + 2)/7
Let u(b) = 2*b**3 - 4*b**2 + b + 2. Let k be u(2). Factor -9*n**4 + n**k - 4*n**2 + n**5 - 3*n**5 - 10*n**3.
-2*n**2*(n + 1)**2*(n + 2)
Let w = -32 + 34. Let c be (-24 + 8)/((-6)/w). What is u in -34/9*u**2 - c*u + 10*u**3 - 8/9 = 0?
-2/5, -2/9, 1
Suppose -31*h = -35*h + 12. Let s be (h/9*1)/(2/12). Solve 4*v + 1/2 - 4*v**3 - 8*v**4 + 15/2*v**s = 0 for v.
-1, -1/4, 1
Let x(f) = f**3 + 10*f**2 + 12*f. Let s(l) = -2*l**3 - 11*l**2 - 15*l. Let k(j) = -4*s(j) - 5*x(j). Factor k(n).
3*n**2*(n - 2)
Let a = 364/15 + -24. Let c(z) be the first derivative of -1/30*z**4 + 8/45*z**3 + 0*z - 1 - a*z**2. Factor c(q).
-2*q*(q - 2)**2/15
Factor -240/7*w - 2/7*w**3 + 6*w**2 + 200/7.
-2*(w - 10)**2*(w - 1)/7
Let t(a) be the third derivative of -a**5/450 - a**4/36 - 2*a**3/15 + 10*a**2 - 3*a. Find r, given that t(r) = 0.
-3, -2
Let z = -788 - -790. Let m = -1/19 + 64/133. Solve -m*i**z - 12/7 + 12/7*i = 0.
2
Suppose 36300 + 4/3*n**2 - 440*n = 0. Calculate n.
165
Let t(r) = 7*r**4 + 25*r**3 - 56*r**2 + 29*r - 5. Let g(l) = 10*l**4 + 37*l**3 - 83*l**2 + 44*l - 8. Let v(a) = 5*g(a) - 8*t(a). Factor v(x).
-3*x*(x - 1)*(x + 4)*(2*x - 1)
Let a be (20/4)/(-5)*22/(-11). Find x, given that 0*x + 0 + 4/5*x**3 + 2/5*x**4 + 0*x**a = 0.
-2, 0
Factor 9/2*q**2 + 3/4*q**3 + 6 + 9*q.
3*(q + 2)**3/4
Let f(c) = c**4 + 11*c**3 + 67*c**2 + 85*c + 33. Let a(t) = -6*t**3 - 34*t**2 - 42*t - 16. Let m(g) = -5*a(g) - 2*f(g). Solve m(o) = 0 for o.
-1, 7
Let k(n) = n**2 + 4*n + 3. Let j be k(-3). Let r = 2 + j. Suppose w + w**r - 4*w + 2*w = 0. Calculate w.
0, 1
Suppose -202 + 202 = -11*b. Factor -15/4*j**2 + b - 5/4*j**3 + 5*j.
-5*j*(j - 1)*(j + 4)/4
Let b(y) be the second derivative of y**4/4 - 3*y**3/2 + 3*y**2 + 111*y. Factor b(g).
3*(g - 2)*(g - 1)
Let f(s) be the second derivative of 3/80*s**5 + 0*s**3 + 0 + 0*s**2 - 1/16*s**4 + 27*s. Factor f(b).
3*b**2*(b - 1)/4
Let r(z) be the second derivative of -z**7/630 + z**6/120 - z**5/60 + z**4/72 + 3*z**2/2 - 12*z. Let p(s) be the first derivative of r(s). Factor p(m).
-m*(m - 1)**3/3
Let w(d) = -12*d**2 + 38*d + 95. Let a(i) = -9*i**2 + 37*i + 94. Let p(q) = 5*a(q) - 4*w(q). Suppose p(z) = 0. Calculate z.
-6, -5
Let x(a) be the second derivative of -a**6/540 + a**5/90 - a**4/36 - 4*a**3/3 - 4*a. Let u(r) be the second derivative of x(r). Factor u(j).
-2*(j - 1)**2/3
Let c(z) = 2*z**2 - 80*z + 797. Let p(t) = 1. Let v(o) = c(o) + 3*p(o). Factor v(d).
2*(d - 20)**2
Let d be (4/2)/(1/4 + 0). Let u be ((-1)/42*3)/((-2)/d). Suppose -u*s**3 + 6/7*s**5 + 0 + 0*s - 8/7*s**4 + 4/7*s**2 = 0. What is s?
-2/3, 0, 1
Let b(u) be the first derivative of u**4 + 620*u**3/3 + 12166*u**2 + 23716*u + 430. Let b(l) = 0. Calculate l.
-77, -1
Let h(i) be the third derivative of -i**7/210 - 7*i**6/120 - i**5/4 - 3*i**4/8 - 2*i**2 - 21. Determine m, given that h(m) = 0.
-3, -1, 0
Let k(i) be the first derivative of -i**6/1440 + i**5/240 - 16*i**3/3 - 4. Let h(s) be the third derivative of k(s). Find x, given that h(x) = 0.
0, 2
Let r = -36 + 35. Let o(s) = 8*s**4 - 20*s**2 - 4*s - 8. Let u(k) = k**4 + k**2 + 1. Let d(x) = r*o(x) - 8*u(x). Solve d(p) = 0 for p.
-1/2, 0, 1
Let x(s) be the third derivative of -s**7/1764 - 23*s**6/2520 + s**5/42 + 2*s**4/3 + 6*s**2. Let l(t) be the second derivative of x(t). Factor l(h).
-2*(h + 5)*(5*h - 2)/7
Let m = 714 + -711. Let k(g) be the first derivative of -2*g**3 - 4*g**2 + 0*g**4 + 1/5*g**5 - m*g + 8. Solve k(x) = 0.
-1, 3
Let w = -1018 + 2045/2. Let q(c) be the first derivative of -c**3 - w*c**2 - 6*c - 1. Let q(u) = 0. Calculate u.
-2, -1
Let h(m) be the third derivative of m**6/210 + 2*m**5/105 - 5*m**4/14 - 24*m**3/7 - m**2 + 11. Factor h(y).
4*(y - 4)*(y + 3)**2/7
Let c be 447/105 - 6/(-42). Let b = -4 + c. Factor b*z**2 + 0 - 6/5*z.
2*z*(z - 3)/5
Let l be (-6)/((-11)/((-132)/30)*-1). Solve -8/5*i**2 + 0*i + 0 + l*i**3 + 8/5*i**4 = 0 for i.
-2, 0, 1/2
Let t = 22 + -18. Suppose 14 - t = 5*l. Factor 0*r**2 - 3*r**2 + l*r**2.
-r**2
Let p(k) be the second derivative of k**8/2240 - 3*k**7/280 + k**6/10 - 2*k**5/5 + 7*k**4/12 - 34*k. Let j(t) be the third derivative of p(t). Factor j(f).
3*(f - 4)**2*(f - 1)
Let h(l) be the third derivative of l**7/945 - l**6/36 + 13*l**5/90 - 37*l**4/108 + 4*l**3/9 - 4*l**2 - 3. Factor h(n).
2*(n - 12)*(n - 1)**3/9
Let d(z) be the first derivative of -2*z**6/15 - 12*z**5/5 + 34*z**4/5 - 8*z**3/15 - 66*z**2/5 + 68*z/5 + 476. Solve d(i) = 0 for i.
-17, -1, 1
Suppose 6*v - 24*v + 48 + 24 = 0. What is d in -2 - 5/2*d**2 + v*d + 1/2*d**3 = 0?
1, 2
Let r be 2 + (-110)/50 - 7/(-21). Factor 0 + r*x + 0*x**2 - 2/15*x**3.
-2*x*(x - 1)*(x + 1)/15
Factor 0 - 4*o**3 + 0*o + 2/3*o**4 + 0*o**2.
2*o**3*(o - 6)/3
Suppose 2/7*f**2 + 0*f + 0 + 2/7*f**3 = 0. Calculate f.
-1, 0
Let j = -39068 - -39071. Factor 4/9*q**j + 0*q**2 + 2/9 - 4/9*q - 2/9*q**4.
-2*(q - 1)**3*(q + 1)/9
Suppose -5*a + 2*n + 2*n = -6, 4*n = -a + 6. Suppose -7 = a*z - 11. Suppose 3*h - 6 - 2*h**z - h - 11 + 19 - 2*h**3 = 0. What is h?
-1, 1
Let i = 223 + -224. Let p be i - (42/(-7) - -5). Factor 0 - 2/5*y**4 + p*y - 4/5*y**2 + 6/5*y**3.
-2*y**2*(y - 2)*(y - 1)/5
Let t = -107/13 - -529/39. Solve -1/3*j**2 - t - 8/3*j = 0 for j.
-4
Let w(k) be the first derivative of 3*k**5 + 25*k**4/4 - 5*k**3/3 - 25*k**2/2 - 10*k + 82. Let w(s) = 0. Calculate s.
-1, -2/3, 1
Let r(s) be the second derivative of -7*s**6/30 + s**5/10 + 7*s**4/4 - 10*s**3/3 + 2*s**2 - 23*s. Factor r(i).
-(i - 1)**2*(i + 2)*(7*i - 2)
Let k(h) be the first derivative of 2*h**6/3 - 32*h**5/5 + 5*h**4 + 56*h**3/3 - 156. Factor k(z).
4*z**2*(z - 7)*(z - 2)*(z + 1)
Let g(w) = 2*w**3 + w + 1. Let f(o) = 13*o**3 - 50*o**2 + 69*o + 124. Let v(j) = -f(j) + 4*g(j). Find d, given that v(d) = 0.
-1, 3, 8
Let b(i) be the third derivative of 1/112*i**8 - 1/14*i**7 + 5/8*i**4 + 1/4*i**6 + 0*i - 1/2*i**3 + 0 - 6*i**2 - 1/2*i**5. Find o, given that b(o) = 0.
1
Let x(c) = c**3 + c**2 + c + 1. Let t(d) = 4*d**3 + 8*d**2 + 6*d + 2. Let u be 7 + 0 + -3 + -3. Let s(j) = u*t(j) - 2*x(j). Factor s(o).
2*o*(o + 1)*(o + 2)
Let d(p) be the second derivative of -p**7/112 + 69*p**6/80 - 693*p**5/32 - 1225*p**4/32 - 110*p. Factor d(z).
-3*z**2*(z - 35)**2*(z + 1)/8
Let t = -527818/15 - -35188. Let -t*d + 2/15*d**2 + 0 = 0. What is d?
0, 1
Let -2/3 + 8/9*j - 2/9*j**2 = 0. Calculate j.
1, 3
Let n(s) be the second derivative of -1/5*s**2 + 7/100*s**5 + 1/10*s**3 + 1/5*s**4 + 23*s + 0. Factor n(l).
(l + 1)**2*(7*l - 2)/5
Let c(r) be the third derivative of -r**5/60 - r**4/8 + r**3/3 + r**2. Let d be c(-3). Determine l so that 4 + l - 6 - 9*l - l**d + 5*l = 0.
-2, -1
Suppose 10*d - 34 = 6. Let r(t) be the second d