3 - 73*t**2 - 1. Suppose h(a) = 0. Calculate a.
-56, -1/3
Let r(c) be the first derivative of 248*c**3/3 + 67*c**2/2 + 2*c + 22. Let p(a) = -a**2 + a + 1. Let k(h) = 3*p(h) + r(h). Factor k(z).
5*(7*z + 1)**2
Suppose -4*z + 18 = 2*z. Factor 20*h**5 + 0 + 39*h**3 + 0 - 3*h**z - 8*h**2 - 48*h**4.
4*h**2*(h - 1)**2*(5*h - 2)
Let m be (7/(-364)*126 - -3)/(3/4). Suppose 0 - m*a**2 + 8/13*a = 0. Calculate a.
0, 4/5
Let q(h) be the third derivative of h**6/660 - h**5/15 + 8*h**4/11 + 96*h**3/11 - 219*h**2. Factor q(c).
2*(c - 12)**2*(c + 2)/11
Let c(g) be the third derivative of g**5/12 - 5*g**4/3 + 10*g**3 + g**2 - 1. Factor c(d).
5*(d - 6)*(d - 2)
Suppose 12 = 2*h + b - 0*b, -4*h = 5*b - 12. Suppose -10*g = -h*g. What is f in -1/3*f**3 + 0*f - 2/3*f**2 + 5/3*f**4 + g - 2/3*f**5 = 0?
-1/2, 0, 1, 2
Suppose 69*u + 22*u**3 - 23*u**2 + 32*u**3 + 3*u**4 - 86*u**3 - 4*u**2 + 23*u**3 - 36 = 0. Calculate u.
-3, 1, 4
What is s in -140 - 52*s**2 - 17*s**2 + 5*s**3 - 33*s + 14*s**2 + 149*s + 44*s = 0?
2, 7
Find i such that 4/7 - 30/7*i**3 - 6/7*i - 32/7*i**2 - 8/7*i**4 = 0.
-2, -1, 1/4
Let m(c) be the first derivative of c**8/360 + c**7/105 + c**6/180 - c**5/90 + 5*c**3/3 - 9. Let s(r) be the third derivative of m(r). Factor s(x).
2*x*(x + 1)**2*(7*x - 2)/3
Let j(h) be the first derivative of -2*h**5/5 + 3*h**4 - 8*h**3/3 - 6*h**2 + 10*h + 83. Factor j(r).
-2*(r - 5)*(r - 1)**2*(r + 1)
Let m(x) = x - 2*x + 2*x**2 + 124 + 2*x**4 - 123 + 2*x**3. Let t(h) = h**5 + h**4 + h**3 - h**2 + h - 1. Let u(o) = 5*m(o) + 5*t(o). Factor u(k).
5*k**2*(k + 1)**3
Let n(l) be the second derivative of 0 - 14*l - l**4 + 11/2*l**3 + 9/2*l**2. Factor n(m).
-3*(m - 3)*(4*m + 1)
Suppose -47*j - 10 = -10. Let l(v) be the second derivative of j - v**2 + 9/20*v**5 + 4*v - 2*v**4 + 13/6*v**3. Factor l(m).
(m - 2)*(3*m - 1)**2
Let x be (6 + (-66)/9)/((-70)/45). Let r = -3 - -5. Determine c so that 4/7 + 2/7*c**r + x*c = 0.
-2, -1
Let j(l) be the first derivative of -2*l**6/3 - 12*l**5/5 - 2*l**4 + 142. Factor j(h).
-4*h**3*(h + 1)*(h + 2)
Let p = 12895/2 - 6447. Solve p*b**4 + 1/2*b**3 - 1/2*b**5 - 1/2*b**2 + 0*b + 0 = 0.
-1, 0, 1
Let y(w) = w**3 + w**2 - w + 1. Let t(u) = -2*u**3 - 7*u**2 + 3*u - 3. Let b(q) = -2*t(q) - 6*y(q). Factor b(s).
-2*s**2*(s - 4)
Let q(p) be the second derivative of p**6/90 - p**4/36 - 126*p. Let q(o) = 0. What is o?
-1, 0, 1
Suppose -3*b - 34 = -2*z, -2*b + 2*z = 2*b + 46. Let a be (-6)/(-21) + b/42. Factor 2/7*o**2 + 0 + 2/7*o**4 + a*o - 4/7*o**3.
2*o**2*(o - 1)**2/7
Suppose -3*i + 3/4*i**2 + 9/4 = 0. What is i?
1, 3
Let h be -4 + (-2)/2 + 5. Let -14*i**3 - 298 - 512*i + 192*i**2 + 810 - 18*i**3 + h*i**4 + 2*i**4 = 0. What is i?
4
Let b(a) be the third derivative of a**7/1575 + a**6/300 + a**5/150 + a**4/180 - 127*a**2. Factor b(k).
2*k*(k + 1)**3/15
Let m be (2/7)/(4/28). Let w(k) be the second derivative of 0*k**3 - 1/2*k**6 + 3/14*k**7 - k + 0*k**m - 1/12*k**4 + 7/20*k**5 + 0. Solve w(g) = 0 for g.
0, 1/3, 1
Let a(k) be the first derivative of 2*k**5/15 + k**4/4 - 21*k**2 + 43. Let v(w) be the second derivative of a(w). Let v(o) = 0. Calculate o.
-3/4, 0
Let r(l) be the second derivative of -l**6/180 + l**5/20 + l**3/6 - 16*l. Let m(b) be the second derivative of r(b). Determine y so that m(y) = 0.
0, 3
Find j such that -2/5*j**3 + 0*j + 2/5*j**2 + 0 = 0.
0, 1
Let p be -1*(-3 + (-93)/(-33)). Determine s, given that 8/11 + p*s**2 - 8/11*s = 0.
2
Let i = 2 - -2. Factor i*x**3 + 2*x - 3*x**2 - 6*x**2 + 2*x + x**2.
4*x*(x - 1)**2
Let g = 103 + -100. Factor 0*b**2 + 5*b - 85*b**4 + 76*b**4 + 9*b**2 - 3*b - 2*b**g.
-b*(b - 1)*(b + 1)*(9*b + 2)
Let o be (5 - 6)*1*(-2)/4. Factor 3/2*s + o + 13/8*s**2 + 3/4*s**3 + 1/8*s**4.
(s + 1)**2*(s + 2)**2/8
Let d(t) be the first derivative of 0*t**2 - 3/4*t**4 - 9/10*t**5 + 12 + 0*t + 0*t**3 - 1/4*t**6. Factor d(m).
-3*m**3*(m + 1)*(m + 2)/2
Let t(w) be the second derivative of -2*w**6/15 + 22*w**5/5 - 47*w**4 + 440*w**3/3 - 200*w**2 + 6*w - 12. Find b such that t(b) = 0.
1, 10
Let s(x) = -x**3 + x - 2. Let j(q) = 2*q**3 - 8*q**2 + 6*q + 2. Let g(m) = -j(m) - s(m). What is v in g(v) = 0?
0, 1, 7
Suppose -4*k + 14 = 3*k. Factor 8 + 143*f - 67*f + 4*f**k - 88*f.
4*(f - 2)*(f - 1)
Suppose -10*b + 16*b = -30*b. Let b - 50/3*l**4 + 0*l - 5*l**2 - 55/3*l**3 = 0. Calculate l.
-3/5, -1/2, 0
Let u(j) be the third derivative of j**5/15 + 11*j**4/3 - 71*j**2 + 2. Determine i, given that u(i) = 0.
-22, 0
Let l(r) be the second derivative of r**5/12 + 25*r**4/36 + 10*r**3/9 + 248*r. Factor l(q).
5*q*(q + 1)*(q + 4)/3
Let -128/9*u + 2048/9 + 2/9*u**2 = 0. What is u?
32
Let q(x) = -2*x**2 - 35*x + 220. Let z(f) = 22*f**2 + 384*f - 2432. Let i(h) = -68*q(h) - 6*z(h). Find v, given that i(v) = 0.
-23, 4
Let s(d) be the second derivative of 11*d - 1/900*d**6 + 1/150*d**5 + 0 + 0*d**2 - 3/2*d**3 + 0*d**4. Let r(b) be the second derivative of s(b). Factor r(a).
-2*a*(a - 2)/5
Factor -1/3*y**4 - 4/3*y**3 + 0 + 7/3*y**2 + 10/3*y.
-y*(y - 2)*(y + 1)*(y + 5)/3
Factor 2450 + 1/8*f**2 - 35*f.
(f - 140)**2/8
Let c be ((-246)/(-60) - 4)/(1/2). Let q(u) be the first derivative of c*u**3 + 0*u - 8 + 0*u**2. Factor q(b).
3*b**2/5
Let y = 3022 + -3019. Let 0*b**2 - 2/5*b**y + 0*b + 0 = 0. What is b?
0
Let w(c) = 3*c**3 + 12*c**2 + 13*c + 6. Let q be 1 - 0 - 28*(-6)/12. Let a(j) = -21*j**3 - 84*j**2 - 90*j - 42. Let k(s) = q*w(s) + 2*a(s). Factor k(o).
3*(o + 1)**2*(o + 2)
Let m(q) be the first derivative of q**6/9 - 11*q**5/15 + 7*q**4/12 + 11*q**3/9 - 3*q**2/2 - 235. Solve m(t) = 0 for t.
-1, 0, 1, 9/2
Suppose 0 = -2*p + 24 - 10. Suppose 0 = -p*d - 7*d. Factor 2/5*y**2 - 2/5*y - 2/5*y**4 + d + 2/5*y**3.
-2*y*(y - 1)**2*(y + 1)/5
Let g = -255 + 259. Let b(l) be the first derivative of 3/2*l**g - 9/2*l**2 + 3*l + 3 - 9/5*l**5 + 1/2*l**6 + 2*l**3. Factor b(x).
3*(x - 1)**4*(x + 1)
Factor 2039*i**3 + 24*i - 2038*i**3 - 10 - 10 - 9*i**2.
(i - 5)*(i - 2)**2
Let v(f) be the third derivative of -f**6/300 - 11*f**5/300 - f**4/6 - 9*f**3 + 59*f**2. Let k(p) be the first derivative of v(p). Find h, given that k(h) = 0.
-2, -5/3
Let y(z) = z**3 + 11*z**2 - 11*z + 16. Suppose 0 = 2*m + 10 + 14. Let t be y(m). Factor -2*w**2 - 5*w + 6*w**4 + 4*w - t*w**4 + 5*w - 4*w**3.
2*w*(w - 2)*(w - 1)*(w + 1)
Let w be 1*(-2 - (-9)/3). Let h(a) = -a**3 - a**2 - 1. Let z(q) = 2 + 11*q**2 - 4*q + 7*q**2 - 22*q**2. Let r(f) = w*z(f) + 2*h(f). Solve r(g) = 0 for g.
-2, -1, 0
Let f(b) = -b**3 + 2*b**2 - b. Let r(q) = -15*q**3 + 36*q**2 + 24*q. Let n(a) = 12*f(a) - r(a). Factor n(c).
3*c*(c - 6)*(c + 2)
Let p = -16/137 - -2719/15070. Let b(l) be the second derivative of p*l**5 - 28/33*l**3 - 8/11*l**2 + 0 - 6*l + 1/33*l**4. Factor b(z).
2*(z - 2)*(z + 2)*(7*z + 2)/11
Let l = -380 + 380. Let c(b) be the second derivative of -1/54*b**4 + l*b**2 + 2/27*b**3 + 0 + 4*b. Determine w, given that c(w) = 0.
0, 2
Let a be -3*(2 - 22/6). Suppose 0*s = -4*s + a*q + 22, 0 = 2*s - 3*q - 10. Factor -12*w**2 - 2*w**4 + 4*w**4 + s*w - 6 + 8*w.
2*(w - 1)**3*(w + 3)
Let d(h) be the first derivative of -3*h**5/4 - 21*h**4/16 + 3*h**3/2 - 257. Factor d(n).
-3*n**2*(n + 2)*(5*n - 3)/4
Let h = -15 - -4. Let b = -6 - h. Let c(r) = r**5 + r - 1. Let n(z) = z**5 + 8*z**3 + z - 5. Let w(l) = b*c(l) - n(l). Factor w(d).
4*d*(d - 1)**2*(d + 1)**2
Let i(h) = 4*h**3 - 10*h**2 - 4*h + 4. Suppose 6 = -3*p, 2*n = -2*n + 4*p + 32. Let u(l) = l**3 - l**2 - l. Let t(s) = n*u(s) - i(s). Factor t(c).
2*(c - 1)*(c + 1)*(c + 2)
Suppose 11 = 3*o - 4. Let d be (-18)/(-66)*(o/3 + -1). Find s, given that 0 + 0*s + 2/11*s**3 + 0*s**2 + d*s**4 = 0.
-1, 0
Let s(w) be the first derivative of 2*w**5/35 - 5*w**4/14 - 26*w**3/21 - w**2 - 282. Find y such that s(y) = 0.
-1, 0, 7
Let b(x) = -5*x**5 + 115*x**4 - 195*x**3 + 155*x**2 + 5*x - 15. Let l(j) = j**5 + j**3 + j**2 + j. Let h(s) = -b(s) + 15*l(s). Factor h(d).
5*(d - 3)*(d - 1)**3*(4*d + 1)
Let w(f) be the third derivative of -6*f**2 - 3/2*f**3 - 9/20*f**5 + 0*f + 5/4*f**4 + 1/20*f**6 + 0. Factor w(q).
3*(q - 3)*(q - 1)*(2*q - 1)
Suppose 0*d + 27 = 3*d. Factor 8 + 3*y + d - 20*y**2 + 32*y - 7.
-5*(y - 2)*(4*y + 1)
Find g such that 61/5*g**4 + 0 - 14/5*g + 87/5*g**3 + 19/5*g**2 + 7/5*g**5 = 0.
-7, -1, 0, 2/7
Let x(q) be the third derivative of q**5/60 - 5*q**4/24 + q**3 - 70*q**2