. Suppose b(d) = 0. Calculate d.
-2, 0, 1/4, 1
Let f be (4/14)/(2/70). Let j be ((-1)/1*f)/(-2). Find i, given that 1/2*i**j + 0 + 0*i**3 + 0*i - i**4 + 0*i**2 = 0.
0, 2
Let g(j) be the first derivative of -2*j**5/55 + 2*j**3/33 - 134. Factor g(u).
-2*u**2*(u - 1)*(u + 1)/11
Let b(f) be the third derivative of 5*f**8/336 + 3*f**7/14 + 29*f**6/24 + 13*f**5/4 + 15*f**4/4 + 77*f**2. Factor b(k).
5*k*(k + 1)*(k + 2)*(k + 3)**2
Let d = 41 + 4. Factor -12*a - 6*a + 2*a**4 - 2*a**2 + 8*a**2 - 35*a**3 + d*a**3.
2*a*(a - 1)*(a + 3)**2
Let b = 67/14 - 2/7. Let y(t) = t**2 - 6*t - 14. Let o be y(8). Determine s so that 1 - b*s + o*s**2 = 0.
1/4, 2
Let i(q) = -q**5 - q**4 + q**2 + q + 2. Let j(h) = -2*h**5 - 10*h**4 + 18*h**3 - 19*h**2 + 16*h + 3. Let t(m) = -3*i(m) + j(m). Factor t(w).
(w - 3)*(w - 1)**4
Let r(t) = -8*t**3 - 261*t**2 - 431*t + 679. Let j(z) = 4*z**3 + 132*z**2 + 216*z - 340. Let q(x) = 7*j(x) + 4*r(x). Find h, given that q(h) = 0.
-28, -3, 1
Let h(i) be the second derivative of -35*i**4/12 + 110*i**3/3 - 30*i**2 - 5*i. Factor h(a).
-5*(a - 6)*(7*a - 2)
Let k(o) = -o**3 + 2*o**2 + o - 1. Let c(j) = j**3 - 32*j**2 - 55*j - 26. Let w(s) = c(s) + 4*k(s). Factor w(v).
-3*(v + 1)*(v + 2)*(v + 5)
Let w(y) = 5*y - 6. Let k be w(-5). Let q = k - -33. Solve 0*n**3 - 4*n**3 - 9*n**q + 30*n**2 + 22*n**3 - 3 = 0.
-1, -1/2, 1/3
Find c, given that 31/11*c - 102/11 + 1/11*c**2 = 0.
-34, 3
Let n be 196/12 - 345/23. Solve 8/9*k**2 + 0 + n*k - 4/9*k**3 = 0 for k.
-1, 0, 3
Let b = 13/60 + -1/6. Let d(o) be the first derivative of 0*o - 1/16*o**4 - 1 - b*o**5 + 1/12*o**3 + 1/8*o**2. Factor d(w).
-w*(w - 1)*(w + 1)**2/4
Solve -84*o + 87*o**2 + 20 + 79*o - 178*o + 3*o**3 + 73 = 0.
-31, 1
Suppose 84539*n - 84540*n = -3. Factor -12/5*k + 36/5*k**2 + 0 - n*k**3.
-3*k*(k - 2)*(5*k - 2)/5
Let v(n) be the first derivative of -n**6/51 + 2*n**5/85 + n**4/17 - 4*n**3/51 - n**2/17 + 2*n/17 - 173. Factor v(x).
-2*(x - 1)**3*(x + 1)**2/17
Let x(s) be the first derivative of 4*s**5 + 105*s**4/4 - 410*s**3/3 + 120*s**2 - 360. Determine h, given that x(h) = 0.
-8, 0, 3/4, 2
Let j(z) be the second derivative of 50*z**7/147 - 8*z**6/21 - 26*z**5/35 + 4*z**4/7 + 6*z**3/7 - 75*z. Factor j(t).
4*t*(t - 1)**2*(5*t + 3)**2/7
Suppose 5*u + f = 116 + 22, -f + 111 = 4*u. Suppose -t = -2*t - 3*d + 12, 0 = -4*t - 5*d + u. Find x, given that -5 - x**4 + 1 - 2*x + 2*x**t + 5 = 0.
-1, 1
Let v(n) be the third derivative of -1/30*n**5 - 7/3*n**3 + 0*n + 0 + 2/3*n**4 + 14*n**2. Factor v(j).
-2*(j - 7)*(j - 1)
Let k be (6*-3)/((-1)/1). Let c be ((-27)/k)/((-3)/4). Factor 9*t**2 - 12*t**c + 0*t - 3*t.
-3*t*(t + 1)
Factor -12 + 4350*m**3 - 117*m - 240*m**2 - 30*m**2 - 4275*m**3.
3*(m - 4)*(5*m + 1)**2
Let s(m) be the third derivative of -m**7/840 + m**6/480 + m**5/80 - m**4/96 - m**3/12 - 7*m**2 + 4. Let s(d) = 0. What is d?
-1, 1, 2
Let a be -6 + 1027 + (1 - -2). Let d be 6/45 + a/1320. Factor 2/11*w - d*w**2 + 2/11 + 6/11*w**3.
2*(w - 1)**2*(3*w + 1)/11
Let n = -249/20 + 56/5. Let m = n - -2. Suppose 0*l + 0 + m*l**3 - 1/2*l**2 = 0. Calculate l.
0, 2/3
Let a be (-1)/(-4) + 124/16. Let a*m**3 + m - 8*m**2 + 4*m**4 - 4*m + 4 - 2*m - 4*m**5 + m = 0. Calculate m.
-1, 1
Let z(j) be the third derivative of -5*j**2 + 0*j + 0 - 1/264*j**8 + 0*j**5 + 0*j**3 + 1/165*j**6 + 0*j**4 + 4/385*j**7. Let z(l) = 0. Calculate l.
-2/7, 0, 2
Let i = 125 - 125. Let h(f) be the second derivative of -1/10*f**6 + 0*f**2 + 1/4*f**4 + 0*f**3 + 4*f + 0 + i*f**5. Factor h(p).
-3*p**2*(p - 1)*(p + 1)
Let z = 5316/35 + -758/5. Factor -2/7*g**2 + g**3 + z - g.
(g - 1)*(g + 1)*(7*g - 2)/7
Let b(x) = 5*x**2 + 150*x + 149. Let m(h) = 10*h**2 + 300*h + 300. Let g(a) = 5*b(a) - 2*m(a). Factor g(o).
5*(o + 1)*(o + 29)
Let o(n) be the first derivative of -4*n**3/3 - 16*n**2 - 75. Factor o(s).
-4*s*(s + 8)
Let q(r) = 3*r**2 - r + 5*r**2 + 21*r - 12*r**3 + 8. Let v = -86 - -78. Let f(w) = -w**3 + w**2 + w. Let l(b) = v*f(b) + q(b). Factor l(p).
-4*(p - 2)*(p + 1)**2
Let g(x) be the second derivative of 0 - 4*x - 5/96*x**4 - 1/8*x**3 + 1/120*x**5 + 3/2*x**2. Let p(m) be the first derivative of g(m). Factor p(b).
(b - 3)*(2*b + 1)/4
Let x(g) be the third derivative of -g**5/60 - 5*g**4/12 - 3*g**3/2 + 9*g**2 + 4*g. Solve x(p) = 0.
-9, -1
Let x(r) = -r**2 + 49*r - 45. Let v(a) = -4*a + 1. Let n(m) = -28*v(m) - 4*x(m). Let n(k) = 0. Calculate k.
2, 19
What is a in -22*a**3 + 76*a**2 + 12*a**3 + 16*a + 11*a**3 + 17*a**3 = 0?
-4, -2/9, 0
Let x(u) be the third derivative of -u**10/15120 - u**9/3780 + u**8/1120 - u**4/2 - 13*u**2. Let t(k) be the second derivative of x(k). Factor t(o).
-2*o**3*(o - 1)*(o + 3)
Let u(h) be the second derivative of h**7/189 - h**6/135 - 4*h**5/45 + 2*h**4/9 + 3*h - 5. Factor u(z).
2*z**2*(z - 2)**2*(z + 3)/9
Let a(w) = -w**2 - 21*w + 20. Let o be a(-21). Let s be 16/o*(-15)/(-6). Suppose 2*x**3 - 3*x**s + 0*x**2 - 4*x**3 - x**3 = 0. Calculate x.
-1, 0
Let d(c) be the first derivative of c**4 - 40*c**3/3 + 48*c**2 + 293. Factor d(b).
4*b*(b - 6)*(b - 4)
Let v(d) be the third derivative of -1/140*d**5 + 1/56*d**4 - d**2 + 0*d + 0*d**3 + 0. Factor v(o).
-3*o*(o - 1)/7
Let y(w) be the third derivative of -w**8/131040 + w**7/32760 + w**6/2340 + w**5/15 + 6*w**2. Let m(f) be the third derivative of y(f). Factor m(o).
-2*(o - 2)*(o + 1)/13
Let l(g) be the second derivative of 1/105*g**6 - 50/7*g**2 - 43*g - 5/21*g**3 - 11/70*g**5 + 0 + 11/14*g**4. Factor l(h).
2*(h - 5)**2*(h - 2)*(h + 1)/7
Let f(j) be the third derivative of 3*j**6/200 - 2*j**5/5 + 121*j**4/40 - 18*j**3/5 + 45*j**2. Suppose f(u) = 0. What is u?
1/3, 4, 9
Let h be -10*(15/10)/(-3). Let i be ((-17)/4 + h)/((-9)/(-2)). Solve i*y**2 - 1/6 + 0*y = 0.
-1, 1
Suppose 5*a - 10 = 4*m, 3*a + 139 = 5*m + 145. Factor 2/9*r**3 - 4/9 - 2/9*r + 4/9*r**a.
2*(r - 1)*(r + 1)*(r + 2)/9
Let w = -187 - -187. Let x(n) be the second derivative of -1/3*n**3 - 1/2*n**4 + 2*n**2 + w - 6*n. Factor x(k).
-2*(k + 1)*(3*k - 2)
Suppose 3*r = -r. Let w(b) = b**3 + 7*b**2 + 10*b - 5. Let z be w(-4). Determine j so that r*j + 0 + 1/3*j**5 + 2/3*j**z + 0*j**2 + j**4 = 0.
-2, -1, 0
Let u = -7 + 11. Suppose 5*k + u - 19 = 0. Determine q, given that k*q + 2*q**2 - 6*q**2 + 3*q**2 - 6*q**3 - 5*q**2 + 3*q**5 + 3 + 3*q**4 = 0.
-1, 1
Let i(x) be the second derivative of x**8/336 + x**7/168 - x**6/72 - x**5/24 + 25*x**3/6 - 7*x. Let c(s) be the second derivative of i(s). Solve c(f) = 0.
-1, 0, 1
Let k(y) be the second derivative of 4*y**7/21 - 2*y**6/3 + 5*y**5/8 + 5*y**4/24 - 5*y**3/12 - y**2/4 - 17*y. Factor k(s).
(s - 1)**3*(4*s + 1)**2/2
Let n be (-170)/(-51) + (-1 + -1 - 1). Let 0*v**2 + n*v**3 - 2/3 - v = 0. Calculate v.
-1, 2
Let x(o) = o**2 + o + 1. Let j(t) = t**3 - 6*t**2 - 3*t + 2. Let a(l) = 3*j(l) + 6*x(l). Factor a(b).
3*(b - 4)*(b - 1)*(b + 1)
Factor -318*t**2 - 158131 + 10768*t - 2512 + 6086*t - 56638 + 2*t**3 - 80473.
2*(t - 53)**3
Let l(q) be the second derivative of -10*q**7/7 + 77*q**6/6 - 36*q**5 + 65*q**4/4 + 170*q**3/3 + 30*q**2 + q - 54. Determine r, given that l(r) = 0.
-1/3, -1/4, 2, 3
Let m(h) be the first derivative of 2*h**5/75 + h**4/5 - 2*h**3/3 + 8*h**2/15 + 18. Factor m(o).
2*o*(o - 1)**2*(o + 8)/15
Let d(k) be the first derivative of -18*k**5/65 + 33*k**4/26 + 40*k**3/39 - 28*k**2/13 - 32*k/13 - 95. Solve d(w) = 0 for w.
-2/3, 1, 4
Let d(y) be the second derivative of y**7/105 - y**5/10 + y**4/6 - 25*y**2/2 - 15*y. Let o(q) be the first derivative of d(q). Factor o(w).
2*w*(w - 1)**2*(w + 2)
Let j(x) be the second derivative of 0*x**2 + 1/96*x**4 - 1/24*x**3 + 0 + 1/160*x**5 - 8*x. Solve j(p) = 0.
-2, 0, 1
Factor 0 + 2/3*w**2 - 5/3*w**3 + 8/3*w + 1/3*w**4.
w*(w - 4)*(w - 2)*(w + 1)/3
Let t(i) be the second derivative of -6*i + 1/105*i**6 + 0*i**2 + 0 + 1/42*i**4 + 0*i**3 - 1/35*i**5. Let t(f) = 0. What is f?
0, 1
Let s = -42 - -88. Factor s*k - 103*k + 45*k + k**2 + 36.
(k - 6)**2
Let u be (-38 - -45) + (-1 + 2 - 9) - -5. Factor 0 - 3/5*y**5 - 6/5*y**3 + 0*y + 9/5*y**u + 0*y**2.
-3*y**3*(y - 2)*(y - 1)/5
Solve 1/3*z**2 + 0 - 3*z = 0.
0, 9
Let r = 339/7 - 338/7. Let j(c) = c**3 + 3*c**2 + 3*c + 2. Let s be j(-2). Factor s*b**2 - 1/7 + 2/7*b**3 - 2/7*b + r*b**4.
(b - 1)*(b + 1)**3/7
Let r = 51811/32410 + 9/6482. Factor -18/5*o**2 + r + 4/5*o**4 + 7/5*o**3 -