2 - 41*q**2 = 0. Calculate q.
-2, -1, -1/3, 0
Let d = -1775 + 1780. Let r(a) be the first derivative of 11 + 0*a**2 - 10/11*a**4 - 8/33*a**3 + 0*a - 10/11*a**d. What is q in r(q) = 0?
-2/5, 0
Suppose -4*u + 7*u + 6*u - 18 = 0. Solve -u*m**2 + 9 + 2*m**3 - 15/2*m = 0.
-2, 3/2
Let z(v) = 4*v - 20. Let f be z(5). Factor 0*g + f*g + 6*g - g**2 + 4*g**2.
3*g*(g + 2)
Let l(i) = -5*i**2 + 7*i + 1. Let b(t) = 6*t**2 - 8*t - 2. Let w(k) = -k - 1. Let a be w(-6). Suppose -c + 24 = a*c. Let y(h) = c*l(h) + 3*b(h). Factor y(o).
-2*(o - 1)**2
Suppose u + 1 = -4, 88 = 3*v + u. Suppose -33*t = -v*t - 4. Determine o, given that 2/7*o**4 - 4/7*o**t + 0*o - 2/7*o**3 + 0 = 0.
-1, 0, 2
Suppose -339*c + 346*c = 0. Let x(m) be the second derivative of c - 1/30*m**4 + 1/5*m**2 - m + 1/50*m**5 - 1/15*m**3. Factor x(t).
2*(t - 1)**2*(t + 1)/5
Suppose 0 = -4*o + 16 - 0. Let 15*c**4 - 10*c**o + 32*c**2 - c**4 - 16*c - 20*c**3 = 0. What is c?
0, 1, 2
Let f(a) = 58*a - 2. Let q be f(-1). Let l be (q/45)/((-2)/3). Determine z, given that -2*z + 5*z + 5*z**l + z - z**2 = 0.
-1, 0
Let j(s) be the third derivative of s**5/48 + 5*s**4/12 - 25*s**3/6 - 359*s**2. Factor j(n).
5*(n - 2)*(n + 10)/4
Let x(b) = 7*b**4 - 8*b**3 - 36*b**2 + 44*b + 16. Let h(r) = -7*r**4 + 7*r**3 + 37*r**2 - 43*r - 16. Let p(c) = -4*h(c) - 5*x(c). Factor p(v).
-(v - 2)**2*(v + 2)*(7*v + 2)
Let l(m) be the first derivative of -m**4/78 + m**3/13 - 2*m**2/13 + 11*m + 10. Let j(a) be the first derivative of l(a). Factor j(h).
-2*(h - 2)*(h - 1)/13
Let n = -4 + 6. Solve 9*i**n - 7*i + 15 + 31*i - 3 = 0 for i.
-2, -2/3
Let j = 1 - 22. Let l = -18 - j. Factor -3*g**4 + 3*g**2 - 31*g**l + 57*g**3 - 26*g**3.
-3*g**2*(g - 1)*(g + 1)
Suppose 4*x - x = 15. Let n be (0 - 1)/(x/(-25)). Let 5*g**n - g + 3*g**5 + 2*g**3 + 0*g**3 - 9*g**5 = 0. What is g?
-1, 0, 1
Let w(m) be the third derivative of m**6/220 - 23*m**5/330 - 2*m**4/33 - 130*m**2. Let w(n) = 0. What is n?
-1/3, 0, 8
Let t(m) be the third derivative of -5*m**8/42 + 170*m**7/21 - 2515*m**6/12 + 9585*m**5/4 - 18225*m**4/2 + 32805*m**3/2 + 7*m**2 - m. Factor t(r).
-5*(r - 1)**2*(2*r - 27)**3
Let p(s) be the first derivative of -s**7/945 - s**6/108 - s**5/90 + s**4/12 - 39*s**2/2 + 25. Let j(o) be the second derivative of p(o). Factor j(x).
-2*x*(x - 1)*(x + 3)**2/9
Suppose 0*o = -4*o - n + 16, n = 4*o - 16. Let 5*v**2 + 4*v**3 + 161 - v**2 - 165 - o*v = 0. Calculate v.
-1, 1
Suppose 2*g + 10 = -3*g. Let v(c) = 3*c**2 + 3*c. Let r be v(g). Determine b, given that -2 - r*b + 2*b + 2*b**2 - 4*b**2 = 0.
-1
Solve 3*u - 9/4*u**2 - 3/4*u**3 + 0 = 0 for u.
-4, 0, 1
Suppose -12*u + 69 = 57. Let k be (u + -11)/(-16 - -12). Factor 2*p**4 - k*p**3 + 0*p - 1/2*p**5 + 0 + p**2.
-p**2*(p - 2)*(p - 1)**2/2
Let n(d) be the first derivative of -d**9/3780 - d**8/525 - d**7/210 - d**6/225 - 28*d**3/3 - 45. Let t(q) be the third derivative of n(q). Factor t(c).
-4*c**2*(c + 1)**2*(c + 2)/5
Let s(t) be the third derivative of t**6/72 + 11*t**5/180 + t**4/36 + 82*t**2. Find c, given that s(c) = 0.
-2, -1/5, 0
Let i(v) be the first derivative of v**5/30 + 5*v**4/12 - 2*v**3 - 14*v**2 + 46. Let x(n) be the second derivative of i(n). Factor x(g).
2*(g - 1)*(g + 6)
Let h be (-26)/(-12) - (-1)/(-6). Let s(g) = g**2 - g. Let i(f) = 4*f**4 - 14*f**2 + 10*f. Let y(t) = h*s(t) + i(t). Factor y(x).
4*x*(x - 1)**2*(x + 2)
Let g(q) be the third derivative of 3/10*q**6 + 2*q**5 + 0*q + 14/3*q**4 + 16/3*q**3 + 0 - 43*q**2. Solve g(i) = 0 for i.
-2, -2/3
Let t = 72 - 23. Let p be 4/(-12) - t/(-21). Suppose -4/7*x**3 + 2/7*x**4 + 2/7*x**5 + 0*x**p + 0 + 0*x = 0. What is x?
-2, 0, 1
Factor -46*r**3 + 4*r**5 - 133*r**4 + 149*r**4 - 2*r**3.
4*r**3*(r - 2)*(r + 6)
Let d be ((-830)/(-249))/(16/6). Let -d*v + 0 - 1/4*v**2 = 0. Calculate v.
-5, 0
Let h(v) be the second derivative of v**6/10 - 9*v**5/10 + 13*v**4/4 - 6*v**3 + 6*v**2 + 24*v. Factor h(x).
3*(x - 2)**2*(x - 1)**2
Let j be (-3672)/(-648) + (-17)/3. Factor j + 1/6*a**3 - a**2 + 3/2*a.
a*(a - 3)**2/6
Let b(a) = -a**3 + 5*a**2 + a - 3. Let h be b(5). Find w, given that -2*w - w**2 + 3*w - h + 0 + 2*w = 0.
1, 2
Let r(t) = 6*t**3 + 33*t**2 + 33*t - 3. Let v(g) = -13*g**3 - 65*g**2 - 66*g + 7. Let j(w) = 7*r(w) + 3*v(w). Determine l, given that j(l) = 0.
-11, -1, 0
Let k(q) be the third derivative of q**8/616 - 23*q**7/1155 + 13*q**6/132 - 17*q**5/66 + 13*q**4/33 - 4*q**3/11 - 239*q**2 - q. What is p in k(p) = 0?
2/3, 1, 2, 3
Let c(b) be the second derivative of 1/17*b**2 + 0 + 1/51*b**4 + 1/17*b**3 - 2*b. Find g, given that c(g) = 0.
-1, -1/2
Let z be (15 - 7) + (-7 - -3). Let l(o) be the second derivative of 0 - 3*o - 8/25*o**5 + 0*o**2 - 1/15*o**3 - 4/15*o**z. Factor l(b).
-2*b*(4*b + 1)**2/5
Let u(i) be the first derivative of i**5 - 20*i**4 + 265*i**3/3 - 155*i**2 + 120*i + 174. Factor u(g).
5*(g - 12)*(g - 2)*(g - 1)**2
Let c(o) be the second derivative of -11*o**4/4 - 10*o**3 + 6*o**2 + 81*o. Factor c(b).
-3*(b + 2)*(11*b - 2)
Suppose -8/5*h**2 + 2/5*h**4 + 6/5*h**3 - 1/5*h**5 - h + 6/5 = 0. Calculate h.
-2, -1, 1, 3
Let t(h) be the third derivative of h**7/420 + 17*h**6/240 - 3*h**5/8 - 137*h**4/48 - 19*h**3/3 - 226*h**2 - 2. Find j such that t(j) = 0.
-19, -1, 4
Factor 42*b - b**4 - 4*b**2 + 3*b**4 + 2 + 2*b**3 - b**5 - 43*b.
-(b - 2)*(b - 1)**2*(b + 1)**2
Let y(r) be the second derivative of -2*r**7/21 + 4*r**6/5 - 12*r**5/5 + 10*r**4/3 - 2*r**3 + 9*r. Find v such that y(v) = 0.
0, 1, 3
Let y(i) = 2*i + 6*i - i + 2*i**3 - 19*i - 15*i**2 + 7*i**4. Let t(x) = 22*x**4 + 7*x**3 - 45*x**2 - 37*x. Let n(f) = -2*t(f) + 7*y(f). Factor n(r).
5*r*(r - 2)*(r + 1)**2
Let -25*y**2 + 7*y**2 - 132 - 50*y + 7*y**2 + 9*y**2 + 0*y**2 = 0. What is y?
-22, -3
Let m(k) be the third derivative of k**7/672 + k**6/72 + k**3/3 + 6*k**2. Let a(q) be the first derivative of m(q). Factor a(u).
5*u**2*(u + 4)/4
Let i be 0/(-3)*12/24. Let f(u) be the third derivative of 0*u + 1/3*u**3 + 1/60*u**5 - 5*u**2 + i + 1/8*u**4. Factor f(a).
(a + 1)*(a + 2)
Let g(z) be the second derivative of -z**4/42 - 4*z**3/21 + 122*z - 2. Find x such that g(x) = 0.
-4, 0
Let j(n) = -3*n**2 - 1. Let u(q) = -14*q**2 + 46*q - 48. Let g(p) = 4*j(p) - u(p). Factor g(w).
2*(w - 22)*(w - 1)
Let r be (3/(-2))/((-1)/2). Let i be 1/(27/30 + 6/(-15)). Suppose 2/3*q + 2/3*q**i - 2/3 - 2/3*q**r = 0. What is q?
-1, 1
Let i(j) be the first derivative of 2*j**3/3 + 182*j**2 + 16562*j - 212. Factor i(p).
2*(p + 91)**2
Let u be 82/(-41) - (1 - 9). Let t(h) be the third derivative of 0 + 5/24*h**4 + 0*h + 1/120*h**u + 1/3*h**3 + 1/15*h**5 + 2*h**2. Solve t(m) = 0 for m.
-2, -1
Let p(d) be the third derivative of d**6/330 + d**5/330 - 2*d**4/33 - 4*d**3/33 + 35*d**2. Let p(o) = 0. Calculate o.
-2, -1/2, 2
Let s = -10253547/151424 - 3/21632. Let w = s - -68. Factor -4/7*m**3 + 4/7*m - w*m**2 + 2/7*m**4 + 0.
2*m*(m - 2)*(m - 1)*(m + 1)/7
Let u = -51 - -48. Let q be 4/((-8)/u) - 0. Suppose -q*w**2 + w**3 - 1/4*w**4 - 1/4 + w = 0. Calculate w.
1
Let a be (2/3)/(-1 + 8 + -1). Let z(l) be the first derivative of 2 - 2/15*l**5 - a*l**6 + 1/6*l**4 + 0*l**2 + 0*l + 2/9*l**3. Suppose z(q) = 0. Calculate q.
-1, 0, 1
Suppose 28 = -18*f + 32*f. Solve 9/5*r + 0 - 6/5*r**f = 0.
0, 3/2
Let m(v) = 10*v - 237. Let a be m(24). Find p, given that 5/2*p - 5/2*p**4 + 1/2*p**5 + 5*p**a - 1/2 - 5*p**2 = 0.
1
Suppose 792*s = 794*s - 8. Let t(z) be the second derivative of 1/24*z**s + 0 + 0*z**2 + 9*z - 1/24*z**3 - 1/80*z**5. Factor t(q).
-q*(q - 1)**2/4
Let o be 18/(-60)*(-1730)/792. Let k = o - -1/88. Solve 0*x + 2/3*x**3 + 2/3*x**4 + 0 - k*x**5 - 2/3*x**2 = 0 for x.
-1, 0, 1
Let m(p) be the second derivative of 1/20*p**5 + 0*p**3 + 0*p**2 + 15*p + 1/12*p**4 + 0. Factor m(f).
f**2*(f + 1)
Let n(m) be the second derivative of 0 - 4/5*m**5 - 4*m**3 + 0*m**2 - 11/3*m**4 + 13*m + 2/15*m**6. Factor n(l).
4*l*(l - 6)*(l + 1)**2
Let z(g) be the first derivative of -g**3/2 - 6*g**2 - 21*g/2 - 121. Factor z(f).
-3*(f + 1)*(f + 7)/2
Let l = 110 - 100. Solve -117*i + 10*i**4 - 15*i**3 + 251*i - 119*i - l*i**2 = 0 for i.
-1, 0, 1, 3/2
Let o(y) be the second derivative of -y**7/21 + 89*y**6/105 + 13*y**5/35 - 401*y. Determine k, given that o(k) = 0.
-2/7, 0, 13
Suppose -58/13*n**2 + 448/13*n - 392/13 + 2/13*n**3 = 0. What is n?
1, 14
Fact