vative of -i**4/3 - 520*i**3 - 304200*i**2 - 190*i - 1. Suppose p(b) = 0. Calculate b.
-390
Let j(o) be the second derivative of o**4/20 - 101*o**3/10 - 309*o**2/5 + 345*o. Factor j(w).
3*(w - 103)*(w + 2)/5
Let t(k) be the first derivative of 1/54*k**6 - 364/27*k**3 + 37/6*k**4 + 169/18*k**2 - 28/45*k**5 + 0*k + 49. Find h, given that t(h) = 0.
0, 1, 13
Let z = 9933/25 + -28699/75. Determine y so that -6 - 2/3*y**4 + 16/3*y**3 - z*y**2 + 16*y = 0.
1, 3
Let u(o) be the third derivative of -2*o**3 + 70*o**2 + 3/8*o**4 + 0 + 1/20*o**5 + 0*o. Let u(a) = 0. What is a?
-4, 1
Let u(c) = 12*c**2 - 8010*c - 2685375. Let a(r) = 5*r**2 - 4006*r - 1342687. Let j(z) = 9*a(z) - 4*u(z). Factor j(y).
-3*(y + 669)**2
Let k = -135 + 141. Suppose -5*o + 3*j + 39 = 0, -2*o + 3*j - k*j + 24 = 0. Let t**4 + 64*t**3 - 2 - 15*t - 61*t**3 - 7*t**2 + o + 11 = 0. Calculate t.
-3, 1, 2
Factor -2/9*d**3 + 34*d + 26 + 70/9*d**2.
-2*(d - 39)*(d + 1)*(d + 3)/9
Let o = -3968 + 3970. Suppose 4*a - 3 = 3*t, 5*a - 2*a - 21 = -4*t. Determine d, given that 19 + t*d**3 - 21*d**o - 34 + 14 - 3*d + 22 = 0.
-1, 1, 7
Let y(g) be the second derivative of g**4/12 - 223*g**3/3 + 49729*g**2/2 + 10620*g. Factor y(l).
(l - 223)**2
Suppose 312*t - 1001*t - 65*t + 2578 = 535*t. Let d be (-4)/(-6)*(-21)/(-4). Factor -49/4 - 1/4*w**t + d*w.
-(w - 7)**2/4
Let r(y) be the second derivative of y**5/4 + 205*y**4/12 + 95*y**3/3 - 200*y**2 + 393*y + 2. Suppose r(x) = 0. What is x?
-40, -2, 1
Let m(z) be the third derivative of z**2 - 2/35*z**7 + 0*z**3 - 1/112*z**8 + 0*z**5 - 10 + 0*z**4 + 0*z - 1/10*z**6. What is t in m(t) = 0?
-2, 0
Let z(p) be the third derivative of -p**5/60 - p**2. Let w(d) = -2*d**2 - 2*d - 1. Let x be 5/(-3) + 22/6. Let r(f) = x*z(f) - 2*w(f). Factor r(u).
2*(u + 1)**2
Let u(p) = -6*p**2 - 1258*p. Let n(m) = 2*m**2 + 414*m. Let x(q) = 34*n(q) + 12*u(q). Determine h so that x(h) = 0.
-255, 0
Factor -4*r + 12*r**3 - 9 - 8*r + 7562*r**2 + 3*r**4 - 7556*r**2.
3*(r - 1)*(r + 1)**2*(r + 3)
Suppose 0 = -3*m - 18 + 6, -66 = -5*y - m. Let -6 - y - 11 - 16 + 7 + 38*q + 2*q**2 = 0. What is q?
-20, 1
Suppose b - 8 + 2 = n, 0 = -2*b - n. Find x, given that 3*x**2 - 597 + 4015 - x**b + 280 + 172*x = 0.
-43
Let k(n) be the first derivative of 3*n**5/25 + 93*n**4/10 + 1021*n**3/5 + 558*n**2 + 540*n - 6430. Determine b, given that k(b) = 0.
-30, -1
Suppose -186/7*o - 4 - 26/7*o**2 = 0. What is o?
-7, -2/13
Let x = 8 - 0. Suppose 5*r + 3*g - x = 0, -4*r + 3*r - 2*g - 4 = 0. Factor 6*l**3 + 12*l**2 - 7 - 1 - 1 - 3*l**r - 7*l + l.
-3*(l - 3)*(l - 1)*(l + 1)**2
Let i(s) = 5*s**2 - 14*s + 7. Let j be i(3). Let g be ((-8)/32 + j/8)*14. Suppose 4 + 18*y**2 + 4*y**3 + y**4 + 6*y**3 + g*y + y**4 + 0*y**3 = 0. Calculate y.
-2, -1
Let p(l) = -l**3 - 2*l**2 + 31*l + 92. Let h be p(-4). Solve 2/9*r**4 + 2/9*r**5 + 0 - 8/9*r**3 + h*r - 8/9*r**2 = 0 for r.
-2, -1, 0, 2
Suppose -18633 + 62*r - r**2 + 2*r**2 + 18113 - 5*r = 0. What is r?
-65, 8
Let m(f) = 82*f**3 + 3407*f**2 + 2753*f - 418. Let a(q) = 54*q**3 + 2271*q**2 + 1836*q - 282. Let s(v) = -14*a(v) + 9*m(v). Find w such that s(w) = 0.
-62, -1, 1/6
Let k(l) be the first derivative of -18 - 22/3*l**3 - 121*l**2 - 2662/3*l - 1/6*l**4. Factor k(y).
-2*(y + 11)**3/3
Let l = -671 + 731. Let g be l/210 + (-2)/7. Factor -4/3*x - 2*x**3 + g + 10/3*x**2.
-2*x*(x - 1)*(3*x - 2)/3
Determine a so that 8785*a**2 - 2843*a**2 - 4*a**5 - 2829*a**2 + 164*a**3 - 2969*a**2 + 16*a**4 = 0.
-4, -1, 0, 9
Suppose 5*c + 3 = 2*w + 39, 2*w + 6 = 0. Let x(h) = 2 - 17*h**2 + 47*h**2 - 2 + 4*h**3. Let r(z) = -z**3 - 10*z**2. Let p(q) = c*x(q) + 20*r(q). Factor p(k).
4*k**2*(k - 5)
Factor 431 + 28*h**2 - 2*h**3 - 2*h - 347 - 112*h**2 + 4*h**3.
2*(h - 42)*(h - 1)*(h + 1)
Let s(u) = -5*u**3 - 1040*u**2 + 2110*u - 1050. Let v(c) = -5*c**3 - 1041*c**2 + 2109*c - 1051. Let h(p) = 4*s(p) - 5*v(p). Suppose h(n) = 0. Calculate n.
-211, 1
Let n(g) be the second derivative of g**4/60 + 34*g**3/15 + 66*g**2/5 + 2799*g. Factor n(p).
(p + 2)*(p + 66)/5
Find p, given that 3/8*p**4 - 387/8*p**3 + 13455/8*p - 12675/4 + 12279/8*p**2 = 0.
-2, 1, 65
Let c be (9 - 15/(-25)*-5) + (-10 - -6). Let d(z) be the second derivative of 0 - 1/42*z**4 - 1/140*z**5 + 1/14*z**3 - 19*z + 0*z**c. Factor d(q).
-q*(q - 1)*(q + 3)/7
Let -329/2*b + 1/2*b**2 + 489 = 0. What is b?
3, 326
Let i(h) be the third derivative of 0 + 0*h - 1/8*h**4 - 3/320*h**6 + 11/160*h**5 - 132*h**2 - 1/4*h**3. Factor i(v).
-3*(v - 2)**2*(3*v + 1)/8
Let w(t) = 2*t**4 + 11*t**3 + 9*t**2 - t + 2. Let k(s) = s**4 - s**2 - s + 2. Suppose a - 5 = 3*d, d - 13 = -a - 16. Let i(b) = a*k(b) + w(b). Factor i(u).
u**2*(u + 1)*(u + 10)
Suppose 0 - 97682/9*d**2 - 2/9*d**4 + 0*d - 884/9*d**3 = 0. What is d?
-221, 0
Let c(r) be the first derivative of -r**5/35 - 11*r**4/2 - 6065*r**3/21 - 4636*r**2/7 + 86640*r/7 + 7392. Factor c(u).
-(u - 3)*(u + 5)*(u + 76)**2/7
Factor 0 + 6/5*y**2 + 8/5*y + 1/5*y**3.
y*(y + 2)*(y + 4)/5
Let x = -4/4295575 + 4585096859/111684950. Let h = -409/10 + x. Solve 0 + 0*m**2 + 0*m + 4/13*m**3 + h*m**4 = 0 for m.
-2, 0
Suppose 19 = 2*h + 3. Suppose 0 = -3*i - 2*u + h, -2*i - 5*u = 2*i - 6. Factor i - 12*x**2 + 13 - 10*x**3 + 8*x - 2*x**4 - 1.
-2*(x - 1)*(x + 2)**3
Suppose 0 = -2*l + 4*x + 12, -5*l - 3*x + 7 = 29. Let v be l/(0*3/6 + -1). Solve 6*b**5 - 27*b**v - 6*b - 15*b**3 + 18*b**5 + 27*b**4 - 3*b**5 = 0.
-1, -2/7, 0, 1
Find f such that 231*f + 19*f**2 - 14*f**2 - 2*f**2 + 402 + 12*f**2 = 0.
-67/5, -2
Let v be 6*(-1)/(-1) + -3. Let m be -6*(8/3 - v). Suppose 4*b**3 + 0*b**3 - 2*b**m - 6*b**2 + 4*b = 0. What is b?
0, 1
Let t(f) be the third derivative of 169*f**5/90 + 1066*f**4/9 + 26896*f**3/9 - 210*f**2 - 6*f - 1. Find v such that t(v) = 0.
-164/13
Let y(n) = -25*n**2 + 1438*n - 522745. Let v(w) = -3*w**2 - w - 2. Let m(f) = -8*v(f) + y(f). Factor m(s).
-(s - 723)**2
Let f(v) be the third derivative of 1/15*v**6 + 1/672*v**8 - 17/48*v**4 + 1/60*v**5 + 2/3*v**3 - 1/42*v**7 + 0 + 2*v + 6*v**2. Suppose f(w) = 0. Calculate w.
-1, 1, 8
Suppose -2*y + 2*l = 3*l - 1, 5*y - 2*l = 16. Determine t so that -16 - 5 + 8 + 1 - 9*t**y + 24*t = 0.
2/3, 2
Let q = -150636 + 150636. Suppose -24/19*r**2 + q + 0*r - 50/19*r**3 - 2/19*r**5 - 28/19*r**4 = 0. Calculate r.
-12, -1, 0
Let y = 4 - -3. Factor -121 + 0*z**2 + 0*z + 32*z - y - 2*z**2.
-2*(z - 8)**2
Let d be 3/((-1)/(-2)*(-11)/(-22)). Find y, given that d*y**3 + 14*y**3 - 24*y**3 + 6*y**2 = 0.
-3, 0
Suppose -4*w = g - 108, -2*g = w - 0*g - 20. Let r(u) be the third derivative of 1/300*u**5 - 1/24*u**4 + 0*u + w*u**2 + 0 + 1/5*u**3. Factor r(n).
(n - 3)*(n - 2)/5
Let h(o) be the third derivative of -o**7/2100 - 7*o**6/225 + 55*o**3/2 + 137*o**2. Let x(w) be the first derivative of h(w). Factor x(t).
-2*t**2*(t + 28)/5
Let a(u) be the third derivative of 0*u**6 - 28*u**2 + 0*u + 0*u**3 - 1/36*u**4 + 0 - 1/630*u**7 + 1/60*u**5. Factor a(r).
-r*(r - 1)**2*(r + 2)/3
Factor -104*l - 191/3*l**2 + 1/3*l**5 + 21*l**4 + 59/3*l**3 - 124/3.
(l - 2)*(l + 1)**3*(l + 62)/3
Let a(t) be the second derivative of -2916/7*t**2 + 326*t + 11/28*t**5 - 1/210*t**6 + 162*t**3 - 171/14*t**4 + 0. Factor a(c).
-(c - 18)**3*(c - 1)/7
Let f(g) be the first derivative of -g**6/39 - 194*g**5/65 - 76*g**4 + 2912*g**3/3 + 5574. Determine q, given that f(q) = 0.
-52, 0, 7
Suppose 4*b - 12*y = -7*y + 1152, 2*y = 8. Let j = 295 - b. Factor 3/7*l**j - 72/7*l + 48/7 + 18/7*l**3 + 3/7*l**4.
3*(l - 1)**2*(l + 4)**2/7
Let t(x) be the second derivative of x**5/70 - 20*x**4/21 + 71*x**3/7 - 306*x**2/7 - 235*x - 3. Suppose t(q) = 0. What is q?
3, 34
Suppose -73*k = -91*k. Let r(w) = w**2 + 9*w + 2. Let a be r(-9). Solve -2/5*g**3 + 0 - 2/15*g**4 + k*g**a + 8/15*g = 0.
-2, 0, 1
Factor 832/11 - 830/11*h - 2/11*h**2.
-2*(h - 1)*(h + 416)/11
Factor t - 1/8*t**5 - 5/8*t**4 + 0 + 1/2*t**2 - 3/4*t**3.
-t*(t - 1)*(t + 2)**3/8
Let t(y) be the third derivative of -y**5/510 - 859*y**4/102 - 737881*y**3/51 - 28*y**2 + 12*y. Suppose t(l) = 0. What is l?
-859
Let c be (222/(-185))/((-3)/10). Let b be 25/16*(-168 + 174). Suppose -b*k**2 - 27/8*k**c + 0 + 3/2*k + 63/4*k**3 = 0. What is k?
0, 1/3, 4
Let l = -6657 - -6659. Let g(i) be the first derivative of 42/11*i + 9/22*i**4 - 46/11*i**3 - 32 + 39/11*i**l. Find a, given that g(a) = 0.
-1/3, 1, 7
