p.
-55
Suppose -7*y = 2*y + 360. Let d be ((-6)/(-88))/(-1) + (-10)/y. Determine z, given that -2/11*z**2 - d*z + 0 = 0.
-1, 0
Let d(x) be the third derivative of 2*x**7/35 - 5*x**6/6 + 18*x**5/5 - 64*x**3/3 - 26*x**2 - 2. Suppose d(h) = 0. Calculate h.
-2/3, 1, 4
Let j(m) = 2*m**2 + 8*m - 6. Let l(w) = w**2 - 16*w + 38. Let y be l(13). Let d(z) = 2*z - 1 + 0*z - z. Let t(u) = y*j(u) + 6*d(u). What is i in t(i) = 0?
-1, 0
Suppose -5*o - 234 = 4*d + 779, -1034 = 5*o - 3*d. Let z = o - -617/3. Determine j, given that -2/3*j**2 - z*j + 0 = 0.
-1, 0
Let i(h) = -38*h**2 + 22*h + 70. Let j(y) = -2*y**2 + y + 3. Let t(l) = -2*i(l) + 36*j(l). Suppose t(f) = 0. What is f?
-2, 4
Let m(r) be the third derivative of r**7/42 + r**6/24 - r**5/4 - 5*r**4/24 + 5*r**3/3 - 57*r**2 - 2*r. Factor m(i).
5*(i - 1)**2*(i + 1)*(i + 2)
Let b(o) = 5*o**3 - 50*o**2 + 41*o + 90. Let c(m) = -36*m**3 + 351*m**2 - 288*m - 630. Let t(z) = 15*b(z) + 2*c(z). Find u such that t(u) = 0.
-1, 2, 15
Let q(n) be the second derivative of n - 5/3*n**3 - 35/12*n**4 + 0 + 0*n**2 - 5/4*n**5. Suppose q(h) = 0. Calculate h.
-1, -2/5, 0
Let p(h) be the second derivative of -h**7/735 - h**6/105 - h**5/42 - h**4/42 - h**2/2 + 9*h. Let u(r) be the first derivative of p(r). Factor u(v).
-2*v*(v + 1)**2*(v + 2)/7
Let k(u) be the third derivative of u**5/60 - 2*u**4/3 + u**2 + 17. Solve k(d) = 0.
0, 16
Suppose 0 = -48*u + 49*u - 100. Factor 3*o**3 - 2*o**3 + u*o - 4 + 4 + 20*o**2.
o*(o + 10)**2
Let a(w) = -7*w**3 - 40*w**2 + 106*w - 54. Let n(c) = -3*c**3 - 21*c**2 + 53*c - 27. Let p(j) = 2*a(j) - 5*n(j). Factor p(r).
(r - 1)**2*(r + 27)
Suppose 480/7*c - 69/7*c**2 + 3/7*c**3 - 900/7 = 0. What is c?
3, 10
Let v(h) = 2*h**5 + 14*h**4 - 6*h**3 - 20*h**2 + 2*h. Let m(r) = r**4 + 2*r**3 + 2*r**2 - r. Let y(f) = 4*m(f) + 2*v(f). Determine d, given that y(d) = 0.
-8, -1, 0, 1
Suppose -245*i + 5 + 360 = -125. Solve -16/5*h**i - 14/5*h**3 + 8/5*h + 2*h**4 + 0 = 0.
-1, 0, 2/5, 2
Determine b, given that -14/9*b**2 + 4/3*b + 0 - 2/3*b**3 + 2/9*b**5 + 2/3*b**4 = 0.
-3, -2, 0, 1
Let i be -1*(-4)/(-10) - (-2898)/70. Find f, given that -26*f + i*f - 2*f**2 - 21*f = 0.
-3, 0
Suppose 5*x - 45 = 2*b, 0 = -4*x - b + 29 - 6. Factor -23*a**3 - 64*a + 2*a**4 + 31*a**2 + 17*a**2 - x + 39 + 7*a**3.
2*(a - 2)**4
Let u be -1 + -1 + 37 + -3. Let w = 65/2 - u. Factor 0 - g + 1/2*g**2 + w*g**3.
g*(g - 1)*(g + 2)/2
Let y(q) = q**3 - q**2 + 1. Let r(b) be the first derivative of -7*b**4/4 + 7*b**3/3 - 6*b - 2. Let z(o) = -r(o) - 6*y(o). Factor z(k).
k**2*(k - 1)
Let r(g) be the third derivative of -g**7/280 - 7*g**6/240 - g**5/20 - 2*g**4/3 + 12*g**2. Let z(f) be the second derivative of r(f). What is d in z(d) = 0?
-2, -1/3
Factor -d**2 + 21*d + 9*d - 4*d**2 + 2*d**2 - 2*d**2.
-5*d*(d - 6)
Let h(w) be the first derivative of w**7/105 - w**6/20 + w**5/15 + 6*w**2 + 1. Let x(s) be the second derivative of h(s). Factor x(p).
2*p**2*(p - 2)*(p - 1)
Suppose -15*h = -11*h - 8. Let y be (-20)/80 + (-14)/(-24). Determine k, given that 0 + 1/3*k**3 + 2/3*k**h + y*k = 0.
-1, 0
Let k(t) be the second derivative of 0 + 1/14*t**7 - 7/4*t**4 + 3/10*t**6 + 0*t**3 - 3/20*t**5 + 6*t**2 - 6*t. Let k(n) = 0. Calculate n.
-2, -1, 1
Let r(q) be the third derivative of q**5/510 - 40*q**4/51 + 6400*q**3/51 - 38*q**2. Factor r(k).
2*(k - 80)**2/17
Let z(r) = -r**2 - 10*r + 79. Let m be z(5). Let c(x) be the first derivative of 0*x + 2 - 2*x**3 + 2*x**2 + 1/2*x**m. Find a, given that c(a) = 0.
0, 1, 2
Let p(t) be the first derivative of -2/5*t**5 - t**2 - 2*t**3 + 0*t - 3/2*t**4 + 42. Factor p(v).
-2*v*(v + 1)**3
Let v = -101 + 103. Determine s so that -s - 2*s**2 - 3*s**v + 12*s**2 - 5*s = 0.
0, 6/7
Let q be (1332/185*20/32)/(5/2). Solve -11/5*k**3 + 2/5*k + 0 + 7/5*k**4 - 7/5*k**2 + q*k**5 = 0.
-1, 0, 2/9, 1
Let v = -11 + 14. Find f such that 0*f**v - 12*f**2 + 3*f**3 + 138 - 126 - 3*f = 0.
-1, 1, 4
Suppose 9*k - 4 = -2*n + 11*k, 3*k - 29 = -4*n. Suppose 3*w - 7 + 16 = 0, -4*h + n*w + 15 = 0. What is x in 2/5*x**3 + 0 + 4/5*x**2 + h*x = 0?
-2, 0
Determine v, given that -3*v**2 + 40*v + 3*v**2 + v**2 - 6*v**2 - 15*v**3 - 20 = 0.
-2, 2/3, 1
Suppose -2*p = -5*z + 553, 4*z + 0*p - 445 = -p. Let m = z - 443/4. Factor m*g - 1/4 + 1/2*g**2.
(g + 1)*(2*g - 1)/4
Let f(b) be the third derivative of -b**5/100 - 5*b**4/2 - 98*b**3/5 + b**2 + 694*b. Factor f(a).
-3*(a + 2)*(a + 98)/5
What is k in -121*k**2 + 210*k**2 + 108 - 288*k - 122*k**2 + 363*k**3 = 0?
-1, 6/11
Let l(b) be the first derivative of -4/5*b**5 + 0*b**3 - 14 + 4*b - 2*b**4 + 4*b**2. Find z such that l(z) = 0.
-1, 1
Let z(f) be the second derivative of 0 - 5/2*f**2 - f**3 - 24*f - 1/12*f**4. Factor z(w).
-(w + 1)*(w + 5)
Let a = -49 + 51. Factor -27*z**a + 83*z**2 - 28*z**2 - 26*z**2.
2*z**2
Determine t so that 8*t**4 + 32*t - 63/2*t**3 + 0 - 8*t**2 - 1/2*t**5 = 0.
-1, 0, 1, 8
Factor 2/3*w**5 - 10/3*w**3 + 0*w**2 + 0*w + 0 + 8/3*w**4.
2*w**3*(w - 1)*(w + 5)/3
Let j(h) be the first derivative of -h**5/75 - h**4/30 + 3*h**2 - 1. Let r(p) be the second derivative of j(p). Factor r(m).
-4*m*(m + 1)/5
Let w(f) be the first derivative of 1/18*f**3 - 10 - 1/12*f**2 + 0*f. Solve w(z) = 0 for z.
0, 1
Let d(x) be the second derivative of 9/11*x**2 + 1/66*x**4 - 2/11*x**3 + 0 - 12*x. Suppose d(z) = 0. What is z?
3
Let b(n) be the second derivative of n**5/30 + n**4/27 + 10*n**2 + 8*n. Let s(i) be the first derivative of b(i). Factor s(c).
2*c*(9*c + 4)/9
Let y = 3/2062 - -3087/4124. Suppose -9/4*x**2 + y*x**4 + 3/2*x + 0 + 0*x**3 = 0. What is x?
-2, 0, 1
Let a be 3/(-51) + (-64)/(-1088). Let 3/8*y**3 + 0 - 3/8*y**4 + 0*y**2 + a*y = 0. Calculate y.
0, 1
Factor 142*a + 39*a**2 - 149 - 35 + 5*a**3 + 258*a - 136 - 124*a**2.
5*(a - 8)**2*(a - 1)
Let f be (-2)/11 - 528/(-242). Suppose -4*i = -f*i. Factor 0*q - 1/5*q**2 + i.
-q**2/5
Solve 56/17*d + 2/17*d**2 + 392/17 = 0 for d.
-14
Let h(k) be the third derivative of -121*k**7/210 - 11*k**6/12 + 107*k**5/60 + 5*k**4/2 - 6*k**3 - 90*k**2. Let h(t) = 0. What is t?
-1, 6/11
Let v(c) be the second derivative of 5*c**7/42 + c**6/3 - 33*c**5/4 + 55*c**4/6 + 140*c**3/3 - 741*c. Find h such that v(h) = 0.
-7, -1, 0, 2, 4
Let r(x) be the first derivative of -3*x - 14 + 11/2*x**2 - 10/3*x**3. Determine c so that r(c) = 0.
1/2, 3/5
Let p(g) be the first derivative of -2*g**5/5 - 37*g**4 - 2426*g**3/3 + 5772*g**2 - 12168*g + 127. Determine o, given that p(o) = 0.
-39, 2
Factor 1/2*s**2 - 4*s + 15/2.
(s - 5)*(s - 3)/2
Let q(w) = -w**4 - 6*w**3 + 10*w**2 + 6. Let r(f) = -f**4 - f**3 - f**2 - 1. Let p(j) = q(j) + 6*r(j). Factor p(m).
-m**2*(m + 2)*(7*m - 2)
Determine s so that 6*s + 0*s**3 - 10*s**2 + 6*s + 0*s**2 + 0*s**3 + 2*s**3 = 0.
0, 2, 3
Let s = 3303/4 - 825. Suppose -s - i - 1/4*i**2 = 0. What is i?
-3, -1
Let i be (-42)/(-14) - 45*3. Let v be (0 - -2 - i/(-48))*-4. Factor -2/15*n**v + 2/15*n**2 - 2/15 + 2/15*n.
-2*(n - 1)**2*(n + 1)/15
Let u(b) = 77*b - 616. Let t be u(8). Solve t*l**3 + 0*l + 2/9 + 2/9*l**4 - 4/9*l**2 = 0.
-1, 1
Let y(k) be the first derivative of -k**4/10 - 2*k**3/3 + 5*k**2 + 50*k - 103. Factor y(i).
-2*(i - 5)*(i + 5)**2/5
Determine a so that -1/2*a**4 - 3*a**2 + 0*a + 0 - 7/2*a**3 = 0.
-6, -1, 0
Let u(q) = 2*q + 12. Let p be u(-2). Let d(g) = -11*g**2 - 11*g + 7. Let l(x) = -17*x**2 - 17*x + 10. Let t(r) = p*d(r) - 5*l(r). Solve t(i) = 0 for i.
-2, 1
Let f(u) be the first derivative of -u**7/840 + u**6/72 - 7*u**5/120 + u**4/8 - 7*u**3/3 + 7. Let a(g) be the third derivative of f(g). Factor a(n).
-(n - 3)*(n - 1)**2
Let i(n) = 20*n**4 - 288*n**3 + 882*n**2 - 912*n + 283. Let j(g) = 11*g**4 - 144*g**3 + 441*g**2 - 456*g + 142. Let r(p) = -2*i(p) + 5*j(p). Factor r(h).
3*(h - 4)**2*(h - 1)*(5*h - 3)
Solve -258*x**3 - 245*x**5 + 291*x - 103*x**2 + 1757*x**4 - 235*x - 157*x**2 = 0 for x.
-2/5, 0, 2/7, 7
Suppose -16 = 5*i - i. Let a(r) = 2*r**2 + 9*r - 7. Let w(d) = 2 - 6 - d + d**2 + 0*d + 6*d. Let n(v) = i*a(v) + 7*w(v). Let n(f) = 0. Calculate f.
-1, 0
Let d = 84994/15 - 5666. What is c in -2/5*c - 2/15 + 4/15*c**3 + 2/5*c**4 + 2/15*c**5 - d*c**2 = 0?
-1, 1
Factor -3*r**3 - 1467*r**4 - 54*r + 1466*r**4 + 9*r**3 + 81.
-(r - 3)**3*(r + 3)
Let g(f) be the first derivative of 0*f**2 + 1/36*f**4 - 5*f + 1/6*f**3 - 1. Let n(w) be the first derivative