 0 = -3*v + g + 13, -2*v + 3*g - 843 + 861 = 0. Factor -1/2 - 1/4*h**v - 5/4*h - h**2.
-(h + 1)**2*(h + 2)/4
Let k = -2955 - -2957. Factor -3/2*n**k + 21/2*n - 18.
-3*(n - 4)*(n - 3)/2
Let v(g) = -3*g - 9. Let x be v(-5). Find u such that -x*u**5 + 11*u + 7*u**5 + u**4 - 11*u = 0.
-1, 0
Let g(w) = -6*w**2 - 15*w + 3. Let i(h) = 3*h**2 + 7*h - 2. Let s(d) = -4*g(d) - 9*i(d). Determine c, given that s(c) = 0.
-2, 1
Determine r so that 5043/2*r + 68921/2 + 1/2*r**3 + 123/2*r**2 = 0.
-41
Let o(s) be the third derivative of s**8/80640 + s**7/5040 - s**6/576 + 13*s**5/60 - 9*s**2. Let p(a) be the third derivative of o(a). Factor p(l).
(l - 1)*(l + 5)/4
Suppose -269*i + 827 = 289. Factor 12 - 3*b + 9/4*b**3 - 6*b**i.
3*(b - 2)**2*(3*b + 4)/4
Let z(b) be the third derivative of b**8/168 + 8*b**7/105 - b**6/20 - 11*b**5/15 + 4*b**4/3 + 80*b**2. Factor z(t).
2*t*(t - 1)**2*(t + 2)*(t + 8)
Find p, given that -191885*p**2 + 191881*p**2 - 28*p - 24 + 0 = 0.
-6, -1
Let z = -31084 + 31088. Determine h so that -51/2*h**z - 1/2*h**3 - 27/2*h**5 + 2 + 47/2*h**2 + 14*h = 0.
-1, -2/3, -2/9, 1
Let n(h) = h**2 + 6*h + 4. Let d be n(-10). Solve 40 + 10*v**3 - 2*v**2 - v**3 - d*v**3 + 140*v - 8*v**2 = 0.
-2, -2/7, 2
Let m be ((-4)/(-20))/((-7)/(-175)). Let q(u) be the third derivative of -1/96*u**4 + 0*u + 0*u**3 - 10*u**2 + 0 - 1/240*u**m. Factor q(d).
-d*(d + 1)/4
Factor 7/3*q**3 + 0 - 1/3*q**2 + 5/3*q**4 - q.
q*(q + 1)**2*(5*q - 3)/3
Suppose -2/11 + 0*b**3 - 2/11*b**4 + 4/11*b**2 + 0*b = 0. Calculate b.
-1, 1
Suppose -2*f + 0*f + 12 = 4*r, 5*r - 15 = 3*f. Suppose f*a + 2 = 2*a. Find t, given that -2*t - 1 - t**2 + a = 0.
-2, 0
Let q = -2485 - -12427/5. What is l in 2/5*l**3 - 2/5 - 2/5*l + q*l**2 = 0?
-1, 1
Let g(h) be the third derivative of 1/18*h**4 + 0*h - 1/90*h**6 + 1/9*h**3 + 0 - 1/315*h**7 + 19*h**2 + 0*h**5. Factor g(y).
-2*(y - 1)*(y + 1)**3/3
Let x(d) be the first derivative of d**4/20 - d**3/3 + 4*d**2/5 - 4*d/5 - 27. Factor x(v).
(v - 2)**2*(v - 1)/5
Let l(r) be the second derivative of -r**9/6300 - 3*r**8/11200 + r**7/4200 + 7*r**4/6 + 10*r. Let j(c) be the third derivative of l(c). Factor j(g).
-3*g**2*(g + 1)*(4*g - 1)/5
Suppose -40/3 + 28/15*b**3 - 2/15*b**4 - 46/5*b**2 + 56/3*b = 0. What is b?
2, 5
Let d(x) be the second derivative of x**7/42 + x**6/5 + 13*x**5/20 + x**4 + 2*x**3/3 + 4*x - 31. Determine v, given that d(v) = 0.
-2, -1, 0
Let d = 15128 + -15124. Suppose -a + 0 + 13/4*a**3 + 21/4*a**d - 3*a**2 = 0. Calculate a.
-1, -2/7, 0, 2/3
Let s(o) = 3*o**2 - 7 - 2*o**2 - 2*o + 5*o**3 + 4*o**2 - 4*o**3. Let m be s(-5). Factor 0*d + 0 + 21/5*d**m - 27/5*d**4 + 6/5*d**2.
-3*d**2*(d - 1)*(9*d + 2)/5
Let y be ((34/(-3))/(-17))/((-4)/(-4) - -2). What is h in 8/9*h + 10/9 - y*h**2 = 0?
-1, 5
Factor -38/11*t + 18/11 + 2*t**2 - 2/11*t**3.
-2*(t - 9)*(t - 1)**2/11
Let h = 2159 + -2153. Let m(w) be the first derivative of 25/6*w**h - 8 - 4*w**4 + 0*w + 4/3*w**3 + w**5 + 0*w**2. Determine p, given that m(p) = 0.
-1, 0, 2/5
Let r(c) = c**2 + 2*c - 4. Let o(m) = -5 - 7 - 3 + 14. Let d(f) = 4*o(f) - r(f). Let d(s) = 0. Calculate s.
-2, 0
Let l(i) = -3*i**3 + 5*i**2. Let p be (0 + 5)*-1*2/5. Let g(x) = 10*x**3 - 16*x**2 - x. Let z(s) = p*g(s) - 7*l(s). Factor z(f).
f*(f - 2)*(f - 1)
Let f(r) be the second derivative of r**9/21168 + r**8/5880 + r**7/5880 + 7*r**3/2 - 29*r. Let j(t) be the second derivative of f(t). Find l such that j(l) = 0.
-1, 0
Suppose 3 = -4*q - r, 2*r - 11 + 17 = 0. Let i(z) be the second derivative of 5/18*z**3 - 5*z - 1/3*z**2 - 1/18*z**4 + q. Solve i(s) = 0 for s.
1/2, 2
Let p(m) be the first derivative of 104/9*m**3 - 35/3*m**4 - 98/15*m**5 - 8/3*m**2 + 0*m + 19. Factor p(s).
-2*s*(s + 2)*(7*s - 2)**2/3
Factor -2/11*f**3 + 0 - 2*f**2 - 20/11*f.
-2*f*(f + 1)*(f + 10)/11
Suppose -4*p = -4*f + 96, -6*p - 29 = -f - 4*p. Factor -f*k - 27*k + 2*k**2 + 50*k - 2*k**3.
-2*k*(k - 2)*(k + 1)
Let y(d) be the first derivative of 2*d**6/3 - 96*d**5/5 + 165*d**4 - 968*d**3/3 - 94. Factor y(z).
4*z**2*(z - 11)**2*(z - 2)
Suppose -3*t - 20 = -5*t. Let o be (4 + -10)*(1 + t/(-6)). Factor 2/11*g**5 - 4/11*g**3 + 16/11*g**2 + 4/11 - 14/11*g - 4/11*g**o.
2*(g - 1)**4*(g + 2)/11
Suppose 0 = -2*v + d + 1, -2*v - 769*d + 771*d - 2 = 0. Factor 2/5*j + 1/5 + 1/5*j**v.
(j + 1)**2/5
Suppose -12*v - 60 = -14*v. Let w be (-2)/v + (2 - (-8)/(-6)). Let 0*g + 1/5*g**3 - 4/5 + w*g**2 = 0. Calculate g.
-2, 1
What is m in 36/7 - 4/7*m**2 - 18/7*m + 2/7*m**3 = 0?
-3, 2, 3
Let g(b) = -142*b - 1418. Let h be g(-10). Solve 1/7*m**h + 1/7*m - 2/7 = 0.
-2, 1
Suppose 3*o = 2 + 4. Let h = 17 - 9. Let -s**o - 2*s**2 - 3*s - 9*s - 4 - h = 0. What is s?
-2
Suppose -3*j + 11 = -5*k - 34, 20 = 4*j. Let o(i) = -5*i**2 - 4*i + 1. Let w(y) = -4*y**2 - 3*y + 1. Let n(f) = k*w(f) + 5*o(f). Let n(g) = 0. What is g?
-1
Let n = 1997 - 7985/4. Factor -5/8*o**4 - 1/8*o - 1/8 + 3/8*o**5 + n*o**2 - 1/4*o**3.
(o - 1)**3*(o + 1)*(3*o + 1)/8
Let d(k) be the third derivative of -k**6/320 + k**5/32 - k**4/8 + k**3/4 + 224*k**2 - 2. Factor d(o).
-3*(o - 2)**2*(o - 1)/8
Let d be -2 + 4 + 4 + -3. Let i = 1 + d. Let 0*h**i - 8*h + 3*h**4 - 5*h**3 + 5*h + 9*h**2 - 4*h**3 = 0. What is h?
0, 1
Let g(f) be the first derivative of -f**4/3 + 4*f**3 + 14*f**2 + 44*f/3 + 113. Factor g(k).
-4*(k - 11)*(k + 1)**2/3
Let a = 4418/3 - 1468. Factor 10/3*c**2 + a*c**3 + 2*c**4 + 2/3*c + 0.
2*c*(c + 1)**2*(3*c + 1)/3
Let -4*r**2 - 1/2*r**5 - 3*r**4 + 0*r - 6*r**3 + 0 = 0. What is r?
-2, 0
Let z be 3 + 109/3 + 2/3. Find a such that 12*a**3 + 70*a**2 + 115 + 28*a**3 - 200*a - z*a**2 + 5*a**4 + 10 = 0.
-5, 1
Let u be (-48)/(-33) + 144/264. Let y(j) be the third derivative of 0*j + 0*j**4 + u*j**2 + 0 + 1/150*j**5 + 0*j**3. Find w, given that y(w) = 0.
0
Suppose -5*j - 5*p + 25 = 0, -4*p = -5*p. Suppose 2*r = 5 + j. Let 0 + 3/2*l**r + 0*l + 3*l**4 + 3/2*l**3 + 0*l**2 = 0. What is l?
-1, 0
Let 0 + 0*r + 2/5*r**3 + 2/15*r**4 + 4/15*r**2 = 0. What is r?
-2, -1, 0
Suppose 42 = 18*c - 4*c. Let l = 77/12 + -17/3. Find x such that -l*x**c + 3/4*x**2 + 3/2*x + 0 = 0.
-1, 0, 2
Let r be (15/(-75))/(12/50)*(-1 + -2). Factor -15/2 + 5*a + r*a**2.
5*(a - 1)*(a + 3)/2
Let r(a) = 13*a - 250. Let c be r(20). Let j(g) be the first derivative of -1/30*g**5 + 1/6*g**3 + c + 1/3*g - 1/24*g**4 + 5/12*g**2. What is p in j(p) = 0?
-1, 2
Let k(q) be the third derivative of q**6/300 + q**5/75 - q**4/3 + 8*q**3/5 - 253*q**2. Solve k(t) = 0.
-6, 2
Let u(f) be the first derivative of -f**4/4 - 70*f**3/3 - 1225*f**2/2 - 675. Factor u(a).
-a*(a + 35)**2
Let i(k) be the second derivative of 1/25*k**5 - 4/15*k**4 + 2/3*k**3 + 0 - 4/5*k**2 + 8*k. Factor i(w).
4*(w - 2)*(w - 1)**2/5
Let q(x) = x**3 + 20*x**2 - 21*x + 7. Let h be q(-21). Factor 12*t + 3*t**2 - h + 3 + 4.
3*t*(t + 4)
Let i = -10335 - -10335. Let 0 + 1/2*l**5 - l**4 + i*l + 1/2*l**3 + 0*l**2 = 0. Calculate l.
0, 1
Let z(n) be the second derivative of -n**5/15 - 2*n**4/9 - 190*n. Solve z(v) = 0.
-2, 0
Let z(l) be the first derivative of l**6/600 - l**5/150 - l**4/30 + 4*l**3/15 + 7*l**2 + 26. Let n(t) be the second derivative of z(t). Solve n(s) = 0 for s.
-2, 2
Let m be ((-1)/10*-6)/((-8)/(-20)). Solve 1/2*y**4 + y**2 + 2*y**3 - 2*y - m = 0 for y.
-3, -1, 1
Let d(q) be the third derivative of -1/54*q**5 + 0*q - 1/135*q**6 - 32*q**2 + 0*q**3 - 1/945*q**7 - 1/54*q**4 + 0. Suppose d(m) = 0. Calculate m.
-2, -1, 0
Let n(c) = c**4 + c + 1. Let h(j) = -2*j**4 + 40*j**3 - 141*j**2 + 209*j - 106. Let d(a) = h(a) - 2*n(a). Find g such that d(g) = 0.
3/2, 3, 4
Let k(r) = r + 3*r - 4*r - 2*r + 28. Let z be k(12). Factor 7*p + 4 - 3 - z*p**2 + 5*p - 9.
-4*(p - 2)*(p - 1)
Let a(i) = -i**3 - 2*i**2 - 8*i - 21. Let o(s) = -s**2 - s + 2. Let m(y) = -4*a(y) - 28*o(y). Factor m(z).
4*(z + 1)**2*(z + 7)
What is n in 48*n + 2*n**2 + 2*n**2 - 32365 + 32365 = 0?
-12, 0
Suppose 14*m**2 + 38*m**2 + 17*m + 3*m**5 + 43*m - 72 - 12*m**2 + 26*m**2 - 63*m**3 + 6*m**4 = 0. Calculate m.
-6, -1, 1, 2
Suppose 1/4*g**4 - 1/2*g**2 + 0*g + 0 + 1/4*g**3 = 0. Calculate g.
-2, 0, 1
Let u(j) = 28*j**2 + 168*j + 280. Let l(n) = 18*n**2 + 112*n + 187. Let f(z) = -8*l(z) + 5*u(z). Factor f(x).
-4*(x + 2)*(x + 12)
Let u = 547/360 + -3/40. Let b = 146/45 - u. Factor 1/5*q**2 + b + 6/5*q.
(q + 3)**2/5
Let q = -10349/8 + 1294. Factor