5 - 5/2*a**2 - 1/2*a**6 - 5/21*a**7 - 14*a + 0*a**3. Determine b so that r(b) = 0.
-1, 1/2, 1
Let b be (-3845)/(-960) + -3 - 1. Let y = b + 125/576. Let -y*p**5 + 4/3*p**4 - 28/9*p**3 + 32/9*p**2 - 2*p + 4/9 = 0. What is p?
1, 2
Let r = 72056/11 + -6550. Factor 4/11*z**2 - r*z**3 + 0 + 0*z + 2/11*z**4.
2*z**2*(z - 2)*(z - 1)/11
Suppose 12*b + 7 = -17 + 24. Factor 1/9*m**2 - 8/9*m + b.
m*(m - 8)/9
Factor 122*n + 43*n - 45*n - 3*n**2 - n**2 - 900.
-4*(n - 15)**2
Let w(g) = 122 - 6*g**4 - 2*g - 130 + 15*g**2 - 10*g**3 + 11*g**2. Let i(h) = -7*h**4 - 9*h**3 + 25*h**2 - h - 8. Let z(l) = 6*i(l) - 5*w(l). Solve z(j) = 0.
-1, 2/3, 1
Let g(q) = -2*q**2 - 1 + q**3 - q - 3*q + 0*q - 2*q**2. Let j be g(5). Find v, given that 8 + 4*v**3 + 52*v - 86*v**2 + 178*v**2 + 8*v**3 - 36*v**j = 0.
-1, -1/3, 2
Suppose j - 8 = 10*g - 12*g, g + 18 = 5*j. Factor 4/15 + 0*a**g - 2/5*a + 2/15*a**3.
2*(a - 1)**2*(a + 2)/15
Let m(g) be the third derivative of -2*g**5/55 - 5*g**4/44 + 6*g**3/11 + 146*g**2. What is n in m(n) = 0?
-2, 3/4
Suppose 14*w - 75 = -w. Let k(b) be the third derivative of w*b**2 + 0*b - 1/330*b**5 - 2/33*b**3 + 0 + 1/44*b**4. Factor k(i).
-2*(i - 2)*(i - 1)/11
Let a be 2/(-14)*(-10 + -25). Let w(u) be the second derivative of -u + 1/2*u**2 - 1/12*u**4 + 0 - 1/6*u**3 + 1/20*u**a. Find s such that w(s) = 0.
-1, 1
Let i(d) be the second derivative of -d**4/108 - 13*d**3/54 - 37*d. Solve i(g) = 0 for g.
-13, 0
Let f(x) = -x**2 + 5*x + 28. Let n be f(-3). Let -2/3*h**3 - n*h**2 - 10/3*h + 0 = 0. Calculate h.
-5, -1, 0
Suppose 12 = t + 3*t. Factor -37*r - 4*r**3 - 16*r**2 + 0*r**t + 21*r.
-4*r*(r + 2)**2
Let t(u) be the first derivative of -2*u**2 + 0*u - 8/3*u**3 + 19 - u**4. Find n such that t(n) = 0.
-1, 0
Let i(f) be the second derivative of 0*f**2 + 0 + 1/12*f**4 + 0*f**3 - 41*f. Factor i(u).
u**2
Determine n, given that -1448*n - 49*n**4 - 677 + 2704*n**2 + 965 - 2234*n**3 + 757*n**4 - 18*n**5 = 0.
2/3, 1, 36
Let z(t) = -t**2 - 6*t + 8. Let j be z(-6). Suppose 2*o - j = 4. Factor 3*c**4 + 3*c - o*c - 6*c**3 + 9*c**3 - 3*c**2.
3*c*(c - 1)*(c + 1)**2
Suppose -25 = -52*l + 57*l. Let h(o) = o**2 + 4*o - 1. Let x be h(l). Determine q so that 81/2*q**2 + 10*q**x + 2 + 73/2*q**3 + 16*q = 0.
-2, -1, -2/5, -1/4
Let r(h) be the first derivative of -h**3/2 + 18*h**2 - 69*h/2 + 89. Factor r(u).
-3*(u - 23)*(u - 1)/2
Let f(p) = p**3 + 10*p**2 + 3*p - 6. Let d(x) = 3*x**3 + 39*x**2 + 12*x - 24. Let y(j) = 4*d(j) - 15*f(j). Factor y(z).
-3*(z - 2)*(z - 1)*(z + 1)
Let n be (-1)/(-2)*-1*(-5200)/65. Determine f so that 200/3 - 22/3*f**2 + 4*f**3 + 2/3*f**4 - n*f = 0.
-5, 2
Let j = -31439/40 - -786. Let v(t) be the third derivative of 2*t**2 + 0 + j*t**5 + 0*t - 1/4*t**3 + 3/80*t**6 - 3/16*t**4. Factor v(x).
3*(x - 1)*(x + 1)*(3*x + 1)/2
Suppose 0 = 4*z + 5*g - 4, 2*z - g - 16 = -0*g. Suppose -z*t + t = 0. Suppose t + 0*o**2 + 0*o**3 - 2/17*o**5 + 0*o + 2/17*o**4 = 0. Calculate o.
0, 1
Let k(v) be the second derivative of v**7/14 + 3*v**6/10 - 9*v**5/10 - 5*v**4/2 + 21*v**3/2 - 27*v**2/2 - 129*v. Let k(o) = 0. Calculate o.
-3, 1
Suppose 0 = -5*r - 15, -5*h + 2*r - 640 = 7*r. Let w be (4/(-14))/(h/35)*5. Determine u, given that -14/5*u + 24/5*u**2 + w = 0.
1/4, 1/3
Find m such that -1/5*m**4 - 1/5*m**3 + 9/5*m**2 + 9/5*m + 0 = 0.
-3, -1, 0, 3
Let f(b) = 7*b**3 - 185*b**2 - 8463*b + 8645. Let d(i) = 5*i**3 - 185*i**2 - 8463*i + 8646. Let v(m) = 4*d(m) - 3*f(m). Factor v(x).
-(x - 1)*(x + 93)**2
Suppose 6*w - 1 = 17. Suppose 12*f**4 - 2*f**4 - 11*f**4 + 2*f**w = 0. Calculate f.
0, 2
Suppose -12 - 31*a + 5*a**2 - 10 - 18 + 21*a = 0. What is a?
-2, 4
Let c be 3 - (-6 - -3 - -4). Let l(v) = 4*v**4 + 2*v**3 - 3*v**2. Let k(r) = 3*r**4 + r**3 - 2*r**2. Let s(p) = c*l(p) - 3*k(p). Factor s(m).
-m**3*(m - 1)
Let d = 199 + -198. Let m(t) be the first derivative of 0*t**2 + 1/4*t**4 - d - t**5 + 1/3*t**3 + 1/2*t**6 + 0*t. Let m(a) = 0. What is a?
-1/3, 0, 1
Let i be (-272)/(-884)*(-26)/(-20). Let h be 4/18 - (-10)/(-450). Factor -4/5*n**2 + h*n**3 - i + n.
(n - 2)*(n - 1)**2/5
Let j(f) be the third derivative of -2*f**7/105 - f**6/30 + 4*f**5/15 + 2*f**4/3 - 181*f**2. Factor j(w).
-4*w*(w - 2)*(w + 1)*(w + 2)
Let r(d) = d + 5. Let q = -14 - -11. Let m be r(q). Factor 17*f - 3*f**m - 8*f - 11*f.
-f*(3*f + 2)
Let w(y) be the first derivative of -y**6/810 + 2*y**5/135 + 4*y**3 + 1. Let o(t) be the third derivative of w(t). Factor o(v).
-4*v*(v - 4)/9
Let w(c) = 4*c**3 - 240*c**2 + 552*c - 280. Let k(q) = -2*q**3 + 96*q**2 - 221*q + 112. Let f(g) = 12*k(g) + 5*w(g). Find a, given that f(a) = 0.
-14, 1
Let n be (-2)/24*(16 + -19). Let m(w) be the second derivative of -n*w**4 - 3/2*w**2 - w**3 + 0 - 2*w. What is g in m(g) = 0?
-1
Let z = 17 + -15. Suppose i = 3*v - 10, -v + 3*i = -z*i + 6. Find k, given that 6*k**2 - 5*k**2 + 4 + v*k + 2 - 2 = 0.
-2
Let k(y) be the first derivative of 1/6*y**3 + y**2 + 2*y - 12. Factor k(s).
(s + 2)**2/2
Let w(d) = -d - 1. Let t(c) = 4*c**2 - 7*c - 2. Let z = 36 + -35. Let u(l) = z*t(l) - 3*w(l). Let u(b) = 0. Calculate b.
1/2
Suppose 5*y = 10, -2*y = 5*z - 0*y - 19. Let m(x) = 3*x**2 - 18*x + 30. Let k(t) = 6*t**2 - 36*t + 59. Let w(i) = z*k(i) - 5*m(i). Factor w(d).
3*(d - 3)**2
Suppose 2*s + 0*s - 10 = 4*o, 3*s = 4*o + 15. Let p(h) be the second derivative of 25/18*h**4 - 10/3*h**3 + o + 7*h + 3*h**2. Factor p(g).
2*(5*g - 3)**2/3
Let r be ((-32)/48)/(2/(-9)). Factor 3*c**2 - 11*c - 3*c**3 - 12 + 26*c - r*c.
-3*(c - 2)*(c - 1)*(c + 2)
Let a(m) = -10*m + 42. Let f(v) = -19*v + 83. Let z(j) = -7*a(j) + 4*f(j). Let o be z(6). Let 0 - 1/4*k + 1/4*k**3 - 1/4*k**o + 1/4*k**4 = 0. What is k?
-1, 0, 1
Let c(r) = -r**2 + 12*r + 21. Let t be c(-2). Let u be t/(-2) - (-12 - -14). Factor -1/4*j**4 - 3*j**2 + 0 - 2*j - u*j**3.
-j*(j + 2)**3/4
Let f(b) = b**4 + b**3 + 2*b**2 - 4*b - 3. Let g(l) = -l**3. Let k(y) = -f(y) + 3*g(y). Suppose k(n) = 0. Calculate n.
-3, -1, 1
Let k be -2*4/6 - -2. Let c be 0/(-3 + 4/(-4)*-1). Solve 1/3*l**4 - 1/3 + c*l**2 + k*l - 2/3*l**3 = 0.
-1, 1
Let w(r) be the first derivative of -r**4/3 - 4*r**3/9 - 331. What is j in w(j) = 0?
-1, 0
Let j(i) = 7*i**2 + 2*i + 3. Let g(f) = 20*f**2 + 7*f + 9. Suppose 5*r = 23 + 2. Let m = r - 9. Let v(q) = m*g(q) + 11*j(q). Factor v(b).
-3*(b + 1)**2
Let y(o) be the second derivative of -o**4/6 + 8*o**3 + 25*o**2 + 15*o. Factor y(p).
-2*(p - 25)*(p + 1)
Let u(x) be the second derivative of -1/5*x**5 + 4/3*x**3 + 24*x - 1/3*x**4 + 0 + 0*x**2. Let u(k) = 0. What is k?
-2, 0, 1
Factor -1/2*y**3 - 2/3*y + 0 + 1/6*y**5 - 4/3*y**2 + 1/3*y**4.
y*(y - 2)*(y + 1)**2*(y + 2)/6
Factor 15 - 103*w + 450*w**2 + 52 - 234*w + 61 - 143*w.
2*(15*w - 8)**2
Let p(t) be the first derivative of -t**5 - 5*t**4/2 + 5*t**3/3 + 5*t**2 - 263. Let p(r) = 0. Calculate r.
-2, -1, 0, 1
Determine m so that -7/5*m + 0 + 1/5*m**2 = 0.
0, 7
Let m = 543/53 + 41/265. Factor -12/5 + m*t**2 - 26/5*t - 14/5*t**3.
-2*(t - 3)*(t - 1)*(7*t + 2)/5
Suppose -8/5*a**3 + 10*a**2 + 0 + 56/5*a - 2/5*a**4 = 0. What is a?
-7, -1, 0, 4
Let d = 11 + -16. Let v be (-4 - d)/(2/4). Let 0*z - 6*z**2 - 7 + 1 + 6*z + v*z**3 + 4 = 0. What is z?
1
Suppose -5*t = 3*n - 5*n - 10, t - 2 = -3*n. Let v(d) be the first derivative of -8 - 2/27*d**3 + 0*d - 1/9*d**t. Factor v(m).
-2*m*(m + 1)/9
Factor 7*c + 6 + c**4 + 14*c - 2*c**4 - 10*c - 3*c**3 + 3*c**2.
-(c - 2)*(c + 1)**2*(c + 3)
Let j(w) be the first derivative of w**6/36 + 13*w**5/180 + w**4/18 + 2*w**3 - 8. Let c(s) be the third derivative of j(s). Factor c(h).
2*(3*h + 2)*(5*h + 1)/3
Let h(m) be the third derivative of m**6/150 - 52*m**5/25 + 1352*m**4/5 - 281216*m**3/15 + 391*m**2. Factor h(c).
4*(c - 52)**3/5
Let u = -384 - -386. Let t(f) be the second derivative of 0*f**u - 4*f + 0 - 1/10*f**5 - 1/15*f**6 + 0*f**3 + 0*f**4. Determine y so that t(y) = 0.
-1, 0
Let s = 9257 - 9257. Suppose -1/2 + s*o + 1/2*o**2 = 0. What is o?
-1, 1
Let k(x) = -2856*x + 22850. Let z be k(8). Factor -7/4*h + 1/4*h**z + 3/2.
(h - 6)*(h - 1)/4
Let h(i) be the first derivative of 5*i**4/2 + 16*i**3/3 - 4*i**2 - 131. Factor h(k).
2*k*(k + 2)*(5*k - 2)
Solve 0 - 8/3*p + 2/9*p**2 = 0.
0, 12
Let o(z) be the first derivative of z**6/33 + 16*z**5/55 + 3*z**4/11 - 80*z**3/33 + 25*z**2/11 - 219. Factor o(t).
2*t*(t - 1)**2*(t + 5)*