(v + 3)**2/13
Let w(o) = 75*o**2 + 64*o - 11. Let p(q) = 50*q**2 + 43*q - 7. Let m(z) = 8*p(z) - 5*w(z). Factor m(b).
(b + 1)*(25*b - 1)
Let z(u) = 9*u**3 - 14*u**2 - 4. Let v(b) = -10*b**3 + 15*b**2 + 5. Let j(f) = -4*v(f) - 5*z(f). Factor j(i).
-5*i**2*(i - 2)
Suppose -7 = 3*h + 4*p, 5*h + 0*h = -3*p + 3. Factor 11*m**2 - h*m**2 + 4*m**3 + 15*m**4 - 19*m**4.
-4*m**2*(m - 2)*(m + 1)
Factor 27/10 + 1/10*p**5 + 81/10*p + 23/5*p**3 + 11/10*p**4 + 9*p**2.
(p + 1)**2*(p + 3)**3/10
What is f in 16/7*f - 48/7 - 4/7*f**3 + 12/7*f**2 = 0?
-2, 2, 3
Let l be 1/(-5)*840/(-112). Factor 5/2*r - 1/2*r**3 + 1 + l*r**2 - 1/2*r**4.
-(r - 2)*(r + 1)**3/2
Let t = 72 + -77. Let p be (-7)/t + (-10)/25 + -1. Factor 3/7*r + 0 + p*r**2 - 3/7*r**3.
-3*r*(r - 1)*(r + 1)/7
Let i = -1060 - -1062. Factor 0 + 3/4*c**i - 1/2*c - 1/4*c**3.
-c*(c - 2)*(c - 1)/4
Let b = 41 + 407. Let d be ((-6)/(-8))/((-8)/(b/(-39))). Factor -4/13 - 18/13*a**2 + d*a + 10/13*a**3 - 2/13*a**4.
-2*(a - 2)*(a - 1)**3/13
Let c(x) be the first derivative of -3/10*x**5 + 3/2*x**3 - 3 + 3*x - 15/4*x**2 + 3/8*x**4. Factor c(l).
-3*(l - 1)**3*(l + 2)/2
Let q be (-34)/(-21)*135/477. Let l = q + 6/53. Let 0 - 6/7*z**3 - l*z**2 + 0*z - 2/7*z**4 = 0. What is z?
-2, -1, 0
Let b(k) = k**5 + k**4 + k**3 - k + 1. Let z(a) = -22*a**3 + 3*a**5 + 2*a**4 + 2*a - 16*a**4 + 20*a**2 - 9*a**5 - 10. Let q(f) = -10*b(f) - z(f). Factor q(h).
-4*h*(h - 1)**3*(h + 2)
Find s, given that 6/17*s + 2/17*s**3 + 2/17*s**4 + 0 - 10/17*s**2 = 0.
-3, 0, 1
Let q = 205 - 569. Let p = 2556/7 + q. Let 2/7*b**2 + 6/7 + p*b = 0. Calculate b.
-3, -1
Let t(f) be the first derivative of 16 + 11 + 2*f**2 + 12*f + f**3 + 4*f**2. Factor t(i).
3*(i + 2)**2
Find u such that -31 + 2*u - 632*u**4 + 48*u**5 + 23*u**2 + 768*u**4 + 31 + 91*u**3 = 0.
-2, -1/3, -1/4, 0
Let j(m) be the first derivative of -m**6/11 + 4*m**5/11 + 12*m**4/11 - 52*m**3/11 + 59*m**2/11 - 24*m/11 - 7. Let j(h) = 0. Calculate h.
-3, 1/3, 1, 4
Factor 2/5*k**2 - 84/5*k + 882/5.
2*(k - 21)**2/5
Let x(h) be the first derivative of -h**6/6 - h**5/4 + 19*h + 33. Let y(g) be the first derivative of x(g). Factor y(v).
-5*v**3*(v + 1)
Let m(r) be the third derivative of r**5/90 - 29*r**4/18 + 841*r**3/9 - 3*r**2 - 1. Factor m(j).
2*(j - 29)**2/3
Let w be 658/(-7896) + 37/12*1. Find h, given that 0*h + 0 - 1/3*h**w - 1/3*h**2 = 0.
-1, 0
Let m = 7/292 - -2301/1460. Solve 21/5*c**3 - c**4 + m*c - 23/5*c**2 + 0 - 1/5*c**5 = 0.
-8, 0, 1
Factor 46656/7 + 7776*j + 116/7*j**4 + 19872/7*j**2 + 2/7*j**5 + 2384/7*j**3.
2*(j + 2)**2*(j + 18)**3/7
Let d(x) be the third derivative of -x**8/112 + 2*x**7/35 + x**6/20 - 3*x**5/5 - 9*x**4/8 - x**2 + 9. What is g in d(g) = 0?
-1, 0, 3
Let b(a) be the third derivative of -a**9/1512 + a**7/210 - a**5/60 + a**3 - 10*a**2. Let k(f) be the first derivative of b(f). Factor k(m).
-2*m*(m - 1)**2*(m + 1)**2
Let y = -15672/7 + 2263. Factor -y - 1/7*j**2 + 26/7*j.
-(j - 13)**2/7
Let g be 868/1092 + (-12)/26. Factor -r + 2/3 + g*r**2.
(r - 2)*(r - 1)/3
Let g(t) be the first derivative of 3*t**5/5 - 75*t**4/4 - 58*t**3 + 150*t**2 + 648*t - 30. Factor g(v).
3*(v - 27)*(v - 2)*(v + 2)**2
Let w(o) be the second derivative of o**5/120 + 11*o**4/36 + 145*o**3/36 + 25*o**2 + 4*o - 1. Determine z, given that w(z) = 0.
-12, -5
Factor 58 + 49 + 3*b**4 - 107 + 6*b**3.
3*b**3*(b + 2)
Let v(g) be the first derivative of -7*g**3/9 - 17*g**2/2 - 14*g/3 - 107. Factor v(q).
-(q + 7)*(7*q + 2)/3
Let x(l) be the first derivative of -4*l**6/5 - 62*l**5/25 - 3*l**4/2 - 4*l**3/15 + 519. Solve x(q) = 0.
-2, -1/3, -1/4, 0
Let x(a) be the second derivative of a**9/2520 + a**8/600 + a**7/420 + a**6/900 - 22*a**3/3 + 40*a. Let d(w) be the second derivative of x(w). Factor d(h).
2*h**2*(h + 1)**2*(3*h + 1)/5
Factor -9*d**2 + 15*d**3 - 29*d**3 - 8*d + 27*d**2 + 14*d**2.
-2*d*(d - 2)*(7*d - 2)
Let i(s) be the second derivative of s**6/2880 - s**4/192 - s**3/6 + 11*s. Let h(n) be the second derivative of i(n). Factor h(j).
(j - 1)*(j + 1)/8
Let o(j) be the third derivative of j**5/105 - 4*j**4/21 - 40*j**3/21 - 327*j**2 + j. Determine f, given that o(f) = 0.
-2, 10
Factor 0 + 88/5*k + 52/5*k**2 + 4/5*k**3.
4*k*(k + 2)*(k + 11)/5
Let i(d) = -10*d**4 - 10*d**3 - 15*d**2 + 5*d. Let m(v) = 11*v**4 + 8*v**3 + 14*v**2 - 6*v. Let q(l) = -6*i(l) - 5*m(l). Determine b, given that q(b) = 0.
-2, 0
Let m(q) be the first derivative of q**6/51 - 2*q**5/85 - q**4/34 + 2*q**3/51 + 35. Determine o so that m(o) = 0.
-1, 0, 1
Let q = 40 + -29. Let g = q - 7. Factor 4*p**g - 4*p**5 - p**3 - 2*p**2 - 2*p**4 + 5*p**5.
p**2*(p - 1)*(p + 1)*(p + 2)
Suppose 15/2*m**3 + 1/2*m**4 + 49/2*m**2 + 57/2*m + 11 = 0. Calculate m.
-11, -2, -1
Factor 2/11*f - 2/11*f**3 + 28/11 - 28/11*f**2.
-2*(f - 1)*(f + 1)*(f + 14)/11
Let x = -24/737 + 857/3685. Find f such that -x*f**2 - 9/5 - 6/5*f = 0.
-3
Suppose 2*x - 5*x + 6 = 0. Let j be x/8*-5*22/(-55). Suppose -1/2*p**3 + 1/2*p + 1/2*p**2 - j = 0. What is p?
-1, 1
Suppose b - 15 = 6*b. Let g be 3 + b/12*10. Factor 0*h - 10*h**3 - 15/2*h**4 - 2*h**5 + g - 5*h**2.
-(h + 1)**4*(4*h - 1)/2
Let v(k) = -2*k**3 + 63*k**2 - 576*k + 503. Let p(l) = -l**2 - 3. Let y(c) = 3*p(c) - v(c). Factor y(b).
2*(b - 16)**2*(b - 1)
Let p(b) be the first derivative of -b**4/6 + 26*b**3/3 - 169*b**2 + 28*b + 25. Let f(d) be the first derivative of p(d). Factor f(w).
-2*(w - 13)**2
Let r(t) be the third derivative of t**5/3 - 5*t**4/24 - 3*t**2 - 2. Factor r(o).
5*o*(4*o - 1)
Let f(r) = -r**3 - 7*r**2 - r + 5. Let s = 83 + -78. Let n(a) = 3 - 4 - 4*a**2 + 5*a**2. Let b(x) = s*n(x) + f(x). Find c such that b(c) = 0.
-1, 0
Let x(c) = -2*c**3 + c**2. Let t(g) = g**4 + 23*g**3 - 20*g**2 + 11*g - 4. Let d(h) = -2*t(h) - 22*x(h). Suppose d(z) = 0. Calculate z.
-4, 1
Suppose -4*x + h = -19, -x - h - 1 + 2 = 0. What is z in 14 - 2 + 1 + x*z**2 - 1 - 16*z = 0?
1, 3
Let v(y) be the third derivative of -y**5/120 + y**4/8 - 3*y**3/4 - 32*y**2. What is k in v(k) = 0?
3
Let m(y) = -y - 6. Let f be m(-8). Determine o, given that 2*o + 397*o**2 - 421*o**2 + 48*o**3 + f*o + 12*o**5 - 40*o**4 = 0.
0, 1/3, 1
Suppose 0 = d + 8*d + 684. Let a = d - -76. Factor 0*c - 2/9*c**4 + 0 - 2/9*c**3 + a*c**2.
-2*c**3*(c + 1)/9
Let f = -18/8681 - -30001770/112853. Suppose 72/13*x**2 - 864/13*x - 2/13*x**3 + f = 0. Calculate x.
12
Find a such that -13*a**2 + 6*a + 3*a**2 - 2*a + 9*a**2 = 0.
0, 4
Let u be 10/12 + 2/(-36)*-3. Solve -25*x**4 + 78*x**3 + 27*x**5 - 96*x**2 - 14 + 139*x**4 - 105*x - u - 3 = 0 for x.
-3, -1, -2/9, 1
Factor -4*c**2 + 869*c + 5*c**2 - 12 - 878*c + 2*c**2.
3*(c - 4)*(c + 1)
Let q(w) be the second derivative of 33/140*w**5 - 3/70*w**6 - 11/14*w**3 + 0 + 9/7*w**2 - 3/28*w**4 + 19*w. What is s in q(s) = 0?
-1, 2/3, 1, 3
Factor -15/2*g**2 - 99/8*g - 3/8*g**3 + 81/4.
-3*(g - 1)*(g + 3)*(g + 18)/8
Suppose 11*y**4 - 8*y**2 + 9*y**3 + 4*y**4 - 7*y**2 + y**3 - 10*y = 0. Calculate y.
-1, -2/3, 0, 1
Suppose 0 = w - 3*w + 4. What is a in -3*a**2 - 3*a**2 - 3*a + 9*a**w - 6 = 0?
-1, 2
Let h(x) = -x + 20. Let q be h(4). Suppose -4*f + q*f = 24. Let 0 - 3/5*b**f + 6/5*b = 0. Calculate b.
0, 2
Suppose -2*o = -5*y + 23, -4*o + 14 + 0 = 2*y. Factor v**2 - 2*v**3 - y*v**2 - 4*v**3 + 2*v**3.
-4*v**2*(v + 1)
Let r(l) be the second derivative of -4*l**3 + 0 + 47*l - 1/6*l**4 - 36*l**2. Let r(a) = 0. What is a?
-6
Let g(c) be the third derivative of c**6/24 - 3*c**5/2 - 5*c**4/24 + 15*c**3 + 18*c**2 - 2. Factor g(p).
5*(p - 18)*(p - 1)*(p + 1)
Let c be 21/140*(-600)/(-72). Let 1/4*a**2 - c*a + 1 = 0. What is a?
1, 4
Let m(k) = 37*k**2 + 18*k + 4. Let g(f) = 75*f**2 + 39*f + 9. Let u(b) = -4*g(b) + 9*m(b). Factor u(l).
3*l*(11*l + 2)
Suppose 461 = 8*p + 445. Factor 0*f + 1/3*f**3 + 32/3 - 2*f**p.
(f - 4)**2*(f + 2)/3
Factor -12*x - 198/5 + 2/5*x**2.
2*(x - 33)*(x + 3)/5
Factor 4/3*q + 5/3 - 1/3*q**2.
-(q - 5)*(q + 1)/3
Let w(f) be the third derivative of f**5/60 + f**3/6 + 19*f**2. Let c(i) = -2*i**2 + 16*i + 10. Let g(u) = c(u) + 6*w(u). Suppose g(t) = 0. What is t?
-2
Suppose -3*p + 133 = 40. Let -16*l - 51*l**4 + l**3 + 15*l**3 - 4 + p*l**4 + 24*l**2 = 0. Calculate l.
-1, -1/5, 1
Let p(o) be the third derivative of -o**7/1050 - o**6/300 + 19*o**5/300 - 7*o**4/30 + 2*o**3/5 - 158*o**2 + 2. Find k, given that p(k) = 0.
-6, 1, 2
Suppose n 