t o be n(-14). Suppose 0 = r - o + 2. Factor 27*j - 4 - 4*j**2 - 2 + 4*j**2 + 21*j**r - 15*j**2 - 27*j**3.
3*(j - 1)**2*(j + 1)*(7*j - 2)
Let x = 7 + -21. Let k be (6/5)/(x/(-35)). Determine u so that -5*u - 7*u - 15*u**2 - k*u**3 - 9*u - 9 = 0.
-3, -1
Let d(p) = 18*p**4 - 42*p**3 - 118*p**2 - 38*p + 16. Let m(s) = -s**4 - s**3 + s**2 + s + 1. Let b(c) = d(c) + 4*m(c). Factor b(k).
2*(k - 5)*(k + 1)**2*(7*k - 2)
Determine h so that 0 + 48*h**2 + 4*h**3 + 128/3*h - 4/3*h**4 = 0.
-4, -1, 0, 8
Let a(d) be the second derivative of -1/42*d**4 - 2*d + 0*d**3 + 0*d**2 + 1/105*d**6 + 0*d**5 + 0. Let a(p) = 0. What is p?
-1, 0, 1
Let a(v) be the second derivative of 1/108*v**4 - 1/270*v**5 - 1/540*v**6 + 1/27*v**3 + 4*v**2 + 0 - 5*v. Let k(i) be the first derivative of a(i). Factor k(m).
-2*(m - 1)*(m + 1)**2/9
Suppose y = a - 3, 3 = -3*y - 4*a + 15. Suppose -2*u + 3*k - 8 = -k, k - 24 = -5*u. Factor y*d + 0 + 2/3*d**3 + 2/9*d**u + 4/9*d**2.
2*d**2*(d + 1)*(d + 2)/9
Let z = -38554 + 115664/3. Let 0 - 2/9*p**4 - 2/3*p**2 + z*p**3 + 2/9*p = 0. What is p?
0, 1
Let l(t) be the third derivative of 19*t**2 - 1/12*t**4 + 0 + 0*t + 4/9*t**3 - 1/90*t**5. Factor l(g).
-2*(g - 1)*(g + 4)/3
Let m(l) be the second derivative of -l**7/8820 + l**6/1260 - l**5/420 + l**4/252 - 2*l**3 + 6*l. Let h(d) be the second derivative of m(d). Factor h(z).
-2*(z - 1)**3/21
Let f = -5 + 7. Let p be ((-20)/12)/((-5)/9). Factor -3*t**2 - 6 + p*t**f - 3*t**2 + 6*t**2 - 3*t.
3*(t - 2)*(t + 1)
Let p(c) = -20*c**4 + 1784*c**3 - 65688*c**2. Let f(k) = -13*k**4 + 1189*k**3 - 43793*k**2. Let n(z) = 8*f(z) - 5*p(z). Factor n(s).
-4*s**2*(s - 74)**2
Let i(v) = -v**2 + 2*v - 1. Let g(f) = 36*f + 108. Let w(u) = -g(u) - 4*i(u). Factor w(r).
4*(r - 13)*(r + 2)
Let m = 3908/5853 - 2/1951. Solve 0*g + 0 + 1/2*g**2 + 1/6*g**4 + m*g**3 = 0.
-3, -1, 0
Let o = -11 + 14. Determine i, given that -4*i**2 + 4*i**3 + 14*i**2 + 5*i**3 - 4*i**o = 0.
-2, 0
Let k(j) = 9*j**3 - 7*j**2 - 44*j - 14. Let u(x) = x**3 - x**2 - 1. Let t be 48/22 - (-20)/(-110). Let b(q) = t*u(q) - k(q). Find s, given that b(s) = 0.
-2, -2/7, 3
Let n be ((-3)/4)/(((-2)/(-8))/(-1)). Let z be 6/5*n*(-35)/(-567). Solve -2/9*r**2 + 0 + z*r = 0 for r.
0, 1
Let t(o) = -142*o + 997. Let k be t(7). Let v be 15/(-9) + 2*1. Suppose 2/3*f**k + 0 + v*f**4 + 0*f + 1/3*f**2 = 0. What is f?
-1, 0
Let v be (-12)/(-10)*300/90. Suppose v*l + 2 = 3*t, 8 = t + 3*l + 3. Determine d so that -16/3 + 16/3*d + 4*d**t = 0.
-2, 2/3
Let t be 3090/2163 - 2/21. Factor 2/15*i**3 - 8/15*i + 2/15*i**5 + 16/15 + 8/15*i**4 - t*i**2.
2*(i - 1)**2*(i + 2)**3/15
Suppose 2*r - 3*m = 15, -248*m + 247*m - 5 = 2*r. Suppose 3 = -4*x + x - o, 2*o + 6 = -3*x. What is c in 2/5*c**3 + x*c**2 - 2/5*c + r = 0?
-1, 0, 1
Let z(y) be the first derivative of y**5/15 - 5*y**4/6 + 4*y**3 - 13*y**2/2 - 7. Let a(n) be the second derivative of z(n). Factor a(v).
4*(v - 3)*(v - 2)
Let r be 797/60 + 84/(-1008). Factor 72/5*f - r*f**2 + 24/5*f**3 - 27/5 - 3/5*f**4.
-3*(f - 3)**2*(f - 1)**2/5
Let x = -1/3000 + 11/3000. Let l(y) be the third derivative of y**2 + 0 - 1/15*y**3 + x*y**6 - 1/60*y**4 + 1/150*y**5 + 0*y. Factor l(t).
2*(t - 1)*(t + 1)**2/5
Let u(p) = -p - 1. Suppose -4*b - 19 = -15. Let x be u(b). Solve q**2 - 1/2*q - 1/2*q**3 + x = 0.
0, 1
Let n(o) be the second derivative of -o**6/120 + o**5/8 + 23*o**4/48 + o**3/2 + 4*o + 17. Factor n(i).
-i*(i - 12)*(i + 1)**2/4
Let b = 1334 - 5331/4. What is c in 5/4*c**2 - 3/2 + b*c**3 - 5/4*c + 1/4*c**4 = 0?
-3, -2, -1, 1
Let d = -61265/13 + 4713. Factor d + 2/13*v**3 - 2/13*v - 4/13*v**2.
2*(v - 2)*(v - 1)*(v + 1)/13
Let d be 1/((-6)/89) - -15. Determine i, given that -1/2*i + d*i**3 + 1/3 + 0*i**2 = 0.
-2, 1
Suppose 10*x - 5*x**3 + 0*x**2 + 20 + 30*x + 40 - 25*x**2 = 0. What is x?
-6, -1, 2
Suppose 241 = -2*y + y + 4*g, -3*y - 5*g - 740 = 0. Let c = y - -1721/7. Find i such that -4/7*i + 0 + c*i**2 = 0.
0, 2/3
Let q(a) be the second derivative of -a**4/12 + 3*a**3/2 + 26*a**2 + 76*a + 3. Factor q(j).
-(j - 13)*(j + 4)
Let g(i) be the first derivative of -i**5/330 + i**4/33 + 5*i**3/33 + 3*i**2/2 + 2*i - 12. Let k(o) be the second derivative of g(o). Let k(p) = 0. What is p?
-1, 5
Suppose 3/5*p**2 + 0*p - 3/5*p**3 + 0 = 0. Calculate p.
0, 1
Let q(a) be the second derivative of -a**4/3 - 4*a**3/3 - 2*a**2 - 62*a. Find r, given that q(r) = 0.
-1
Let y be -5 + 1/((-19)/(-101)). Let l = y + -11/95. Factor -1/5*j**4 - 2/5*j + 2/5*j**3 + 0 + l*j**2.
-j*(j - 2)*(j - 1)*(j + 1)/5
Let x be (-63)/18 - ((-1)/(-2) + (-13)/2). Find i, given that 3/2*i**2 - x*i - 1 = 0.
-1/3, 2
Let w(b) be the second derivative of -5*b**6/6 + 7*b**5/2 - 5*b**4/4 - 35*b**3/3 + 20*b**2 + 48*b + 1. Suppose w(f) = 0. Calculate f.
-1, 4/5, 1, 2
Solve 2/5*u**2 + 0 + 2/15*u**4 - 8/15*u**3 + 0*u = 0 for u.
0, 1, 3
Determine s, given that 0*s + 5/6*s**4 + 0 + 35/6*s**3 - 20/3*s**2 = 0.
-8, 0, 1
Suppose 4*v + 6 = -2*n, 4*v - 3*v = -2*n - 3. Let q be (40/36)/2 - v. Factor -2/9*k**4 - q*k - 4/9 - 10/9*k**3 - 2*k**2.
-2*(k + 1)**3*(k + 2)/9
Let y(w) be the third derivative of 16/15*w**3 + 0*w + 1/150*w**5 + 14*w**2 + 0 - 2/15*w**4. Find m, given that y(m) = 0.
4
Suppose -28 = 3*b - 19, b - 9 = -4*r. Let z be -30*((-8)/100 - 0). Factor 0 - 18/5*q**r - 3/5*q**5 + 12/5*q**4 - 3/5*q + z*q**2.
-3*q*(q - 1)**4/5
Let p(s) be the second derivative of 0*s**2 + 3*s + 0*s**3 - 1/14*s**7 + 3/20*s**5 + 0 - 1/4*s**4 + 1/10*s**6. What is v in p(v) = 0?
-1, 0, 1
What is p in 24/5*p**2 - 68/15*p**3 + 18/5*p + 4/3*p**4 - 36/5 - 2/15*p**5 = 0?
-1, 2, 3
Let i = -142 - -130. Let o be (-12 - i)*2/6. Factor 2/15*w**3 + o - 4/15*w**2 + 2/15*w.
2*w*(w - 1)**2/15
Let b(g) be the first derivative of -g**4/14 - 4*g**3/3 - 13*g**2/7 + 14. Factor b(n).
-2*n*(n + 1)*(n + 13)/7
Let i(m) be the second derivative of -m**7/21 + 7*m**6/15 - 19*m**5/10 + 25*m**4/6 - 16*m**3/3 + 4*m**2 - 6*m - 18. Determine g so that i(g) = 0.
1, 2
Suppose 0*h + 55 = 11*h. Suppose -h*n = -3*n - 8. Factor 0*z**2 - 3/4*z**3 + 3/4*z**n + 0*z + 0.
3*z**3*(z - 1)/4
Suppose 8*a = 30*a. Factor -3/5*r**3 + a + 9/5*r - 6/5*r**2.
-3*r*(r - 1)*(r + 3)/5
Let v(n) be the first derivative of 1/36*n**4 + 12 - 1/6*n**2 + 0*n**3 + 8*n. Let t(r) be the first derivative of v(r). What is y in t(y) = 0?
-1, 1
Suppose 4*y**3 - 2633*y**4 - 15*y**2 + 2636*y**4 - 16*y**3 = 0. What is y?
-1, 0, 5
Let n(l) = -l**3 - 5*l**2 + 15*l + 56. Let q be n(-6). Suppose u**3 + 9/7*u**q - 4/7 - 12/7*u = 0. Calculate u.
-2, -2/7, 1
Let p(o) = -5*o**3 - 10*o**2 + 7*o. Let m(s) = 3*s**3 + 5*s**2 - 4*s. Let c(h) = -7*m(h) - 4*p(h). Factor c(k).
-k**2*(k - 5)
Let g(p) be the second derivative of -2/3*p**3 + 1/15*p**6 + 1/5*p**5 - 2/3*p**4 + 0 - 33*p + 3*p**2. Factor g(b).
2*(b - 1)**2*(b + 1)*(b + 3)
Let s(g) be the third derivative of -g**7/105 - 5*g**6/12 + 53*g**5/30 - 9*g**4/4 + 270*g**2. Factor s(w).
-2*w*(w - 1)**2*(w + 27)
Let t(m) = -2*m**4 + 39*m**3 + 478*m**2 + 837*m + 388. Let q(c) = -5*c**4 + 118*c**3 + 1435*c**2 + 2512*c + 1168. Let p(s) = -3*q(s) + 8*t(s). Factor p(j).
-(j + 1)**2*(j + 20)**2
Let a(i) be the second derivative of 8*i**5/15 - 14*i**4/9 - 31*i**3/36 - i**2/6 - 6*i - 3. Factor a(f).
(f - 2)*(8*f + 1)**2/6
Let o(m) be the first derivative of -5*m**3/3 - 35*m**2/2 + 90*m - 673. Solve o(l) = 0.
-9, 2
Let 4 + 3*w + 19*w + 6*w**2 + 12*w**2 = 0. What is w?
-1, -2/9
Let w(j) be the third derivative of -j**2 - 2/33*j**3 + 0 + 1/330*j**5 + 0*j + 1/132*j**4. Let w(z) = 0. Calculate z.
-2, 1
Factor 52 + 83*i + 88*i - 5*i**2 - 31*i + 6 + 87.
-5*(i - 29)*(i + 1)
Let n(b) be the second derivative of -1/140*b**5 + 1/210*b**6 + 4/7*b**2 - 1/14*b**4 + 12*b + 2/21*b**3 + 0. Factor n(m).
(m - 2)**2*(m + 1)*(m + 2)/7
Let d be 28/6 + (-13)/(-39) - 5. Determine a, given that 2/3*a**2 + d + 2/3*a = 0.
-1, 0
Suppose r + 2 = -3*o - 7, 0 = 4*o - 4. Let p be r/(-20)*(-10)/(-4). Factor 0*u + 3/2*u**4 + 1/2*u**2 + p*u**3 + 1/2*u**5 + 0.
u**2*(u + 1)**3/2
Let t be 4526/(-1170) + 4 + 3/(-27). Let v(k) be the third derivative of 0*k - 3*k**2 + t*k**6 + 0 + 3/52*k**4 + 1/39*k**3 + 4/65*k**5. Factor v(f).
2*(f + 1)*(4*f + 1)**2/13
Let y = 9869/108052 - 11/119. Let s = y + 3647/13620. Let 2/15*b - 2/15*b**3 - s*b**2 + 4/15 = 0. What is b?
-2, -1, 1
Let t(r) = -63*r**4 + 1023*r**3 + 42