7). Suppose 0 = -0*n - 2*n + 4. Find f such that 12*f**n - 1 + 10*f**3 + 1 + 4*f + 4*f**j + 2*f**3 = 0.
-1, 0
Let o = -3677/152 + 462/19. Find v such that 23/8*v**3 + o*v**2 - 7/8*v**5 + 1/2 - 5/8*v**4 - 2*v = 0.
-2, -1, 2/7, 1
Determine f, given that 57/4*f**2 - 29*f + 1 = 0.
2/57, 2
Suppose -4*o + 5 = 3*v - 4, 5*o + 5*v = 15. Factor -1/2*x**2 + o + 1/2*x**5 + 0*x - 1/2*x**3 + 1/2*x**4.
x**2*(x - 1)*(x + 1)**2/2
Suppose -5*f - 4 = -39. Let k(z) be the third derivative of -1/30*z**5 + 2/3*z**3 + 1/20*z**6 + 0*z - 1/4*z**4 - 1/105*z**f + 5*z**2 + 0. Factor k(v).
-2*(v - 2)*(v - 1)**2*(v + 1)
Determine z so that -40*z - 2*z - 89*z**2 + 32*z**2 + 56*z**2 = 0.
-42, 0
Suppose 4*u = -3*k + k - 10, 0 = 3*k - u + 15. Let m(w) = -w**2 - 19*w + 1. Let v(a) = -10*a + 1. Let r(g) = k*v(g) + 3*m(g). Determine x so that r(x) = 0.
-2, -1/3
Let x(j) be the second derivative of -j**4/78 + 37*j**3/39 - 36*j**2/13 + j - 8. Factor x(b).
-2*(b - 36)*(b - 1)/13
Determine j so that -4/3*j**2 + 608*j - 69312 = 0.
228
Let a(w) be the third derivative of -2*w**2 + 1/130*w**5 + 0 + 1/52*w**4 + 1/780*w**6 + 1/39*w**3 + 0*w. Find v such that a(v) = 0.
-1
Determine b, given that -16*b**4 + 3*b**4 - 166*b**4 + 2*b**5 + 33*b**4 - 7772*b**2 - 2450 + 7490*b + 2876*b**3 = 0.
1, 35
Find a such that -158*a**3 - 6 + 318*a**3 - 10 - 161*a**3 + 12*a = 0.
-4, 2
Find q such that 375*q**2 + 22*q**3 - 7*q**3 + 5*q**3 - 520*q - 180 - 55*q**3 = 0.
-2/7, 2, 9
Suppose 2433 = 3*h - 5*g, 3*g = -2*g + 15. Factor -2*j**2 + h*j - 9 - 3 - 830*j.
-2*(j + 1)*(j + 6)
Let j(o) = o**3 + 4*o**2 + 3*o - 46. Let q(l) = -4*l**3 - 14*l**2 - 11*l + 182. Let m(v) = -18*j(v) - 4*q(v). Solve m(i) = 0.
-5, 2
Let i be 94/18 - (-6)/(-27). Let -30*s**2 - 10*s**2 - 16*s - 4 - 20*s**4 + s - 40*s**3 - 5*s - 4*s**i = 0. Calculate s.
-1
Let d be (-112)/(-196)*40/36*21. Factor d*q**4 + 245/3*q**3 + 380/3*q + 40/3 + 170*q**2.
5*(q + 2)**3*(8*q + 1)/3
Suppose -3*f + 2*a + 3*a - 47 = 0, -43 = 2*f - a. Let k = -17 - f. Suppose 3*q**2 + 3*q**4 + k*q**3 + 3*q - 6*q**4 - 10*q**3 = 0. What is q?
-1, 0, 1
Factor -2/11*d**5 + 12/11*d**3 - 6/11 - 28/11*d**2 + 2*d + 2/11*d**4.
-2*(d - 1)**4*(d + 3)/11
Let o(l) = -3*l + 1. Let i be o(-1). Suppose -9*k + i*k = 0. Suppose 15*a**2 - 1 - 14*a**2 + k = 0. Calculate a.
-1, 1
Let k = 5884 + -17354/3. Let l = k - 99. Factor l*y**3 + 0 - 1/3*y**2 + 1/3*y**4 - 1/3*y**5 + 0*y.
-y**2*(y - 1)**2*(y + 1)/3
Let x(a) = -a**2 - 11*a - 15. Let z be x(-9). Factor -q**3 + z*q**3 - 2*q + 0*q**3.
2*q*(q - 1)*(q + 1)
Let d = 916 + -914. Factor 2/5*r**d + 4/5 - 6/5*r.
2*(r - 2)*(r - 1)/5
Let j(o) = 312*o - 2182. Let b be j(7). Suppose 3/5*z**b + 3*z - 18/5 = 0. What is z?
-6, 1
Suppose 3*w + 0*c = -5*c + 16, 5*c = 5*w. Let l be 94/84 + 28/(-98). Solve -l*y**w + 2*y - 2/3 = 0.
2/5, 2
Let x = 4/39 + -205/858. Let v = 31/66 + x. Find s such that -v*s**2 + 0 - 2/3*s = 0.
-2, 0
Let c(r) = -r + 1. Let s(j) = j**2 + 5*j. Suppose 4*m + 0*m = 0. Suppose 5*y + u + 10 = 0, -3*y + u + 5 - 3 = m. Let d(a) = y*s(a) - 2*c(a). Factor d(p).
-(p + 1)*(p + 2)
Let o = -5 + 7. Suppose -7 + 19 = 4*w + j, 6 = o*w + 2*j. Suppose -2*m - 5*m**3 + 3*m**3 + 3*m**w + m = 0. Calculate m.
-1, 0, 1
Let z be (3/12)/(16/64). Factor -5/4*i**2 - z + 1/4*i**3 + 2*i.
(i - 2)**2*(i - 1)/4
Let h(q) = 12*q**2 + 30*q - 256. Let b(a) = a**2 - a - 1. Suppose -m = -9*m + 16. Let n(w) = m*h(w) - 28*b(w). Solve n(t) = 0 for t.
11
Let q(o) be the second derivative of -7/45*o**5 + 5/9*o**3 - o**2 - 1/189*o**7 + 7/135*o**6 + 0 - 5*o + 1/27*o**4. Suppose q(u) = 0. Calculate u.
-1, 1, 3
Suppose -160 = -12*a - 124. Factor -4/7*x**2 - 4/7*x**a + 4/7*x**4 + 0*x + 0 + 4/7*x**5.
4*x**2*(x - 1)*(x + 1)**2/7
Let a(n) be the first derivative of n**4/20 + 2*n**3/5 + 3*n**2/10 - 2*n + 55. Suppose a(c) = 0. What is c?
-5, -2, 1
Let t(g) be the first derivative of 2*g**3/9 - 5*g**2 + 112*g/3 - 8. Solve t(a) = 0 for a.
7, 8
Let c(j) = -j**3 - j**2 + 4*j + 3. Let w be c(-2). Let r be (-1 - (w + -4))*1. Determine h, given that -3/4*h**3 + 0 + 0*h + 3/4*h**2 + 3/4*h**5 - 3/4*h**r = 0.
-1, 0, 1
Suppose 2*o + i - 27 = 3*o, i - 123 = 5*o. Let c be (-12)/14*o/36. Suppose 2/7*s**5 + 4/7*s**4 + 2/7*s + 4/7 - c*s**3 - 8/7*s**2 = 0. Calculate s.
-2, -1, 1
Let m(c) = 5*c**2 - 175*c - 198. Let v(n) = -45*n**2 + 1575*n + 1785. Let h(p) = -55*m(p) - 6*v(p). Let h(l) = 0. Calculate l.
-1, 36
Let q(a) be the first derivative of -4*a**5 + 10*a**4 - 15*a**3/2 + 4*a - 11. Let i(f) be the first derivative of q(f). Let i(o) = 0. What is o?
0, 3/4
Suppose 0*b + 8 = 4*b. Solve -5*z**b - 4*z**3 + 0*z**3 - z**3 + 2*z - 2*z**3 = 0.
-1, 0, 2/7
Let m(z) be the second derivative of z**7/14 - z**6/10 - 9*z**5/10 - z**4/2 + 5*z**3/2 + 9*z**2/2 - 43*z + 2. Solve m(d) = 0.
-1, 1, 3
Let j(n) be the first derivative of -n**3/36 + n**2/12 + 5*n/4 - 114. Let j(x) = 0. Calculate x.
-3, 5
Let f(g) = -11*g**2 - 22*g + 2. Let r be f(-2). Factor r + 0*t - 1/2*t**2.
-(t - 2)*(t + 2)/2
Factor -22/9*n**3 - 2/3 - 50/9*n**2 - 34/9*n.
-2*(n + 1)**2*(11*n + 3)/9
Let z(a) be the second derivative of -1/30*a**3 - 6*a + 0 - 1/5*a**2 + 1/60*a**4. Let z(y) = 0. Calculate y.
-1, 2
Let m be 2/(-17) - (-26124)/(-476). Let r be (-11)/m*5/4. Solve -1/2 - r*t + 1/2*t**3 + t**2 - 1/4*t**5 - 1/2*t**4 = 0 for t.
-2, -1, 1
Let p(z) = -7*z + 4*z + 4*z - z**2 - 2*z. Let c(u) = 4*u**2 + 6*u. Let k(r) = 2*c(r) + 4*p(r). Solve k(d) = 0 for d.
-2, 0
Suppose l**4 + 0*l**2 + 0 + 0*l - 1/2*l**5 + 0*l**3 = 0. Calculate l.
0, 2
Factor -2/7*u**2 + 0 - 18/7*u.
-2*u*(u + 9)/7
Let i(f) = 2*f**2 + 55*f - 250. Let m be i(4). Let 6*t**m + 32/3 - 16*t - 2/3*t**3 = 0. What is t?
1, 4
Let h(t) be the third derivative of t**10/196560 + t**9/98280 + 7*t**4/6 - 25*t**2. Let z(w) be the second derivative of h(w). Factor z(d).
2*d**4*(d + 1)/13
Suppose -2*h = -14*i + 10*i + 26, 5*i + 5*h - 40 = 0. Suppose i*f - 46 = -25. Let 0 + 1/8*k**f + 0*k**2 - 1/8*k = 0. What is k?
-1, 0, 1
Suppose 5*a - 3*g - 48 = 0, g - 5 = 6*g. What is q in a + 35*q - 7*q - 8*q**2 + 20*q**2 - 1 = 0?
-2, -1/3
Let c(r) be the second derivative of r**6/6 - 3*r**5 + 55*r**4/6 + 70*r**3 + 245*r**2/2 + r - 109. Factor c(w).
5*(w - 7)**2*(w + 1)**2
Let m(i) = -i**3 - 68*i**2 - 5*i - 337. Let a be m(-68). Factor -1/4*l**2 + 0 - 1/4*l + 1/2*l**a.
l*(l - 1)*(2*l + 1)/4
Suppose -7*w = -7*w + 7*w. Let f(p) be the first derivative of w*p - 1/6*p**3 - 4 + 1/2*p**2. Find z, given that f(z) = 0.
0, 2
Solve 0 - 16/17*d + 20/17*d**2 + 6/17*d**3 = 0 for d.
-4, 0, 2/3
Let g(f) be the first derivative of 12*f**5/5 - 18*f**4 + 45*f**3 - 87*f**2/2 + 18*f - 59. Find l such that g(l) = 0.
1/2, 2, 3
Let o(d) be the third derivative of 0*d**4 + 0*d**6 + 1/525*d**7 - 7*d**2 + 0*d**5 + 0*d**3 + 0 + 0*d + 1/840*d**8. Find m, given that o(m) = 0.
-1, 0
Let v(z) = -5*z**3 - 3*z**2 + 11*z. Let m(h) = 6*h**3 + 4*h**2 - 12*h. Let f(l) = 3*m(l) + 4*v(l). Factor f(y).
-2*y*(y - 2)*(y + 2)
Suppose -66 = 2*d - 5*d. Let j = d + -20. Let o**2 - 3*o**2 + o - j*o**3 + 4*o - o = 0. What is o?
-2, 0, 1
Let i(f) be the third derivative of 21*f**2 - 1/25*f**5 + 0*f**3 - 1/560*f**8 + 0 + 0*f + 1/175*f**7 - 1/10*f**4 + 3/200*f**6. Factor i(p).
-3*p*(p - 2)**2*(p + 1)**2/5
Let f(z) be the third derivative of z**6/360 + z**5/90 + z**4/72 - 13*z**3/2 - 17*z**2. Let k(g) be the first derivative of f(g). Factor k(t).
(t + 1)*(3*t + 1)/3
Let j = 13 + -7. Suppose 0 = -j*v + v + 20. Let -v*i**2 + 10*i**2 - 8*i**2 - 4*i**3 + i**3 - i**4 = 0. Calculate i.
-2, -1, 0
Let n(g) be the third derivative of -g**6/30 + 2*g**5/5 + 2*g**4/3 - 16*g**3 + g**2 - 65. Factor n(o).
-4*(o - 6)*(o - 2)*(o + 2)
Let v(l) = 2*l + 8. Let m be v(-8). Let j = m - -11. Factor t**2 - 14*t - 2*t**j + 4*t**2 + 5*t**2 + 6.
-2*(t - 3)*(t - 1)**2
Factor 4*w**3 - 12*w + 2 - 2580*w**2 - 2 + 2588*w**2.
4*w*(w - 1)*(w + 3)
Let u = 104 + -68. Let s be u/(-10) + 8 + -4. Factor 0*l**3 - 4/5*l**4 - s*l**5 + 2/5*l + 4/5*l**2 + 0.
-2*l*(l - 1)*(l + 1)**3/5
Let q(t) be the second derivative of -t**6/55 + 3*t**5/22 - 7*t**4/22 + 3*t**3/11 + 109*t. Factor q(y).
-6*y*(y - 3)*(y - 1)**2/11
Let x = -1/77 - -89/924. Let n(f) be the second derivative of 0 + x*f**4 + 0*f**2 + 10*f - 1/30*f**3 - 1/25*f**5. Factor n(s).
-s*(s - 1)*(4*s - 1)/5
Let 9/5*i - 6/5 - 3/5*i**2 = 0. What is i?
1, 