7*u**2.
-(u + 2)*(u + 3)/7
Factor 51842/3*n - 8346562/9 - 322/3*n**2 + 2/9*n**3.
2*(n - 161)**3/9
Let 0 + 25/2*t**2 + 5/4*t**3 + 20*t = 0. What is t?
-8, -2, 0
Suppose -5*a - 4*b + 12 = -a, b + 5 = a. Determine x, given that 24*x**2 - 5*x**4 + 2*x**4 - x**a - 8*x**2 = 0.
-2, 0, 2
Suppose o - 5*o = 0. Factor -5*f**4 + o*f**3 - 14*f - 10*f**2 + 3*f**4 - 8*f**3 + 10*f.
-2*f*(f + 1)**2*(f + 2)
Let w(b) be the first derivative of b**4/22 + 16*b**3/33 + 5*b**2/11 - 28*b/11 + 294. Let w(a) = 0. What is a?
-7, -2, 1
Let h(q) = -8*q**4 - 8*q**3 + 40*q**2 + 8*q - 20. Let m(z) = 6*z**4 + 7*z**3 - 39*z**2 - 7*z + 18. Let x(i) = -5*h(i) - 4*m(i). Factor x(g).
4*(g - 1)**2*(g + 1)*(4*g + 7)
Determine p, given that p + 4*p**3 - 10*p + 32*p + 78*p**2 + 15*p = 0.
-19, -1/2, 0
Let b(o) = 6*o**2 - o - 5. Let k(x) = 3*x**2 - 1 + 0 - 2. Let j(t) = 6*b(t) - 11*k(t). Suppose j(l) = 0. What is l?
1
Let p(m) = m**2 - 7. Let h(d) be the first derivative of -1/3*d**3 + 6*d + 1/2*d**2 + 9. Let x(o) = -3*h(o) - 2*p(o). Factor x(b).
(b - 4)*(b + 1)
Let y(i) = -i**3 - 7*i**2 + 7*i - 2. Let w be y(-8). Factor -10*s**3 + 10*s**4 + w*s**2 - 13*s**4 + 7*s**3.
-3*s**2*(s - 1)*(s + 2)
Factor x**4 - 898*x**2 - 3*x**3 + 898*x**2.
x**3*(x - 3)
Let u be 5 + 5*(4 + (-42)/7 + 1). Factor 10/3*g + 5/3*g**2 + u.
5*g*(g + 2)/3
Let q(y) = 3*y**2 - 7*y - 5. Let k(h) = h**2 - 4*h - 3. Let s(m) = -5*k(m) + 3*q(m). Let x be s(1). Factor -4/9*w**2 + 4/9 - 2/3*w**x + 2/3*w.
-2*(w - 1)*(w + 1)*(3*w + 2)/9
Let k(j) be the second derivative of 2*j**7/15 + j**6/6 - 2*j**5/15 - 11*j**2/2 - 5*j. Let p(d) be the first derivative of k(d). Factor p(q).
4*q**2*(q + 1)*(7*q - 2)
Let g(t) be the third derivative of t**6/180 - 17*t**5/60 + t**4/3 + 25*t**3/18 - 166*t**2. Find v, given that g(v) = 0.
-1/2, 1, 25
Let h(j) = -j**4 - 17*j**3 + 19*j**2 + 32*j - 3. Let x(t) = t**4 + 33*t**3 - 37*t**2 - 64*t + 5. Let q(g) = 5*h(g) + 3*x(g). Let q(i) = 0. What is i?
-1, 0, 4
Let j = 353 + -350. Find z such that 4/7*z**2 - 10/7*z**5 + 24/7*z**4 + 0 + 0*z - 18/7*z**j = 0.
0, 2/5, 1
Let a(x) = -1. Let b(m) = -m**2 - 5*m + 5. Let p(l) = -l**3 + 7*l**2 - 5*l - 2. Let z be p(6). Let n(v) = z*b(v) + 36*a(v). Factor n(r).
-4*(r + 1)*(r + 4)
Let c(d) be the second derivative of 0 - 2/45*d**6 - 14*d + 0*d**3 - 1/15*d**5 + 0*d**2 + 0*d**4. Suppose c(f) = 0. Calculate f.
-1, 0
Let q(u) = u**2 - 3*u - 26. Let w be q(7). Factor 2*g**5 - 2*g**5 - 3*g**5 - w*g**4 + 3*g**2 - g**4 + 3*g**3.
-3*g**2*(g - 1)*(g + 1)**2
Let p = -67 - -74. Factor 105*h + 28*h**2 + 5*h**5 + 47 - 2 + 15*h**2 - 30*h**3 - 15*h**4 + p*h**2.
5*(h - 3)**2*(h + 1)**3
Let l(i) be the second derivative of -i**5/20 - 7*i**4/4 - 33*i**3/2 + 121*i**2/2 - 68*i. Factor l(j).
-(j - 1)*(j + 11)**2
Let s(o) be the first derivative of -1 - 5 - 147*o - 21*o**2 + 10 - o**3 + 5. Factor s(k).
-3*(k + 7)**2
Let u(m) = 2*m - 5. Let n be u(4). Suppose -a + 4*d = -3*a + 4, 0 = 5*a - 3*d + n. Factor a*g**2 - 4*g**2 + 2 + 3 + 4*g + 3.
-4*(g - 2)*(g + 1)
Let p = -417491 + 197473393/473. Let x = p - -2/43. Factor -2/11*i**2 + x*i - 2/11.
-2*(i - 1)**2/11
Let m(t) be the third derivative of t**8/1848 + 2*t**7/1155 - t**6/110 - 4*t**5/165 + 5*t**4/132 + 2*t**3/11 - 2*t**2 - 321. Determine s so that m(s) = 0.
-3, -1, 1, 2
Let h(x) be the first derivative of 0*x**2 + x**3 + 14 - 9/4*x**4 + 0*x + 3/2*x**6 - 3/5*x**5. Let h(m) = 0. Calculate m.
-1, 0, 1/3, 1
Let g(a) = 488*a + 3 - 490*a - 3. Let i(v) = -2*v**4 - 6*v**3 + 30*v. Let x(n) = -22*g(n) - 2*i(n). Factor x(c).
4*c*(c - 1)*(c + 2)**2
Let d(u) be the third derivative of u**8/1008 + 4*u**7/315 + 5*u**6/72 + 19*u**5/90 + 7*u**4/18 + 4*u**3/9 + 53*u**2. Factor d(v).
(v + 1)**2*(v + 2)**3/3
Let o(u) = -12*u**2 - 13*u - 7. Let f be o(14). Let h be ((-990)/f)/(1/21). Find l, given that 0*l + 8/11 - 70/11*l**2 + h*l**3 - 28/11*l**4 = 0.
-2/7, 1/2, 1, 2
Determine d, given that 14*d**3 - 9*d**4 + 4*d**4 + 45*d**2 - 19*d**3 + 45*d = 0.
-3, -1, 0, 3
Determine a, given that 4/7 - 15/7*a**2 + a**4 + a**3 - 3/7*a**5 - 8/7*a = 0.
-1, 1/3, 2
Let o(k) = -k**2 - 11*k - 2. Let q(s) = s**2 + 21*s + 2. Let j(c) = -9*o(c) - 4*q(c). Let j(v) = 0. Calculate v.
-2, -1
Let m(n) be the second derivative of -33/20*n**5 - 9/10*n**6 + 0*n**2 + 4*n**4 + 14*n + 2*n**3 + 0. Factor m(x).
-3*x*(x - 1)*(x + 2)*(9*x + 2)
Suppose -4*t = 3*v - v - 12, -4*v = -5*t - 11. Let g be (1 - 2)*-1 + t. Factor -1/2*d - 1/4*d**g + 3/4.
-(d - 1)*(d + 3)/4
Let j(u) be the first derivative of -u**7/840 + u**6/120 - u**4/6 - 5*u**3 + 3. Let b(k) be the third derivative of j(k). Suppose b(d) = 0. Calculate d.
-1, 2
Suppose -2*r - 15 = -5*r. Let b(y) = -2*y + 27. Let z be b(12). Let j - 5*j - 3*j**z + 2*j + 0*j - r*j**2 = 0. What is j?
-1, -2/3, 0
Let z(d) be the first derivative of 25*d**6/3 - 92*d**5 + 102*d**4 + 560*d**3/3 + 64*d**2 + 107. Suppose z(h) = 0. What is h?
-2/5, 0, 2, 8
Let c(y) be the first derivative of -6*y**6 + 132*y**5/5 - 10*y**4 - 40*y**3 + 38*y**2 - 12*y - 96. Find x, given that c(x) = 0.
-1, 1/3, 1, 3
Factor d**3 - 1/2*d**2 - 1/2*d**4 + 0 + 0*d.
-d**2*(d - 1)**2/2
Let d(p) = -p - 21. Let m be d(-21). Let g be m - 2/(-7) - 136/(-308). Factor 2/11*n**2 - g*n + 6/11.
2*(n - 3)*(n - 1)/11
Suppose 14 = 4*q + 2*g, 4*g - 7*g + 5 = 2*q. Let b be (-7 - -6)*-6 - q. Find k such that 0*k + 3/7*k**b - 3/7 = 0.
-1, 1
Let q(v) be the second derivative of v**7/14 + 7*v**6/5 + 21*v**5/10 - 59*v**4 + 369*v**3/2 - 243*v**2 + 113*v + 3. Let q(b) = 0. What is b?
-9, 1, 2
Let b(c) be the first derivative of -2*c**5 - 8*c**4 + 34*c**3/3 + 4*c**2 - 756. Factor b(j).
-2*j*(j - 1)*(j + 4)*(5*j + 1)
Suppose 3*z - t = -5*t + 16, -3*z - 2*t = -8. Suppose 3*f + 11 = 2*n - 0*f, 2*n - f - 9 = z. Factor -3*v - 39 + n*v**2 + 39.
v*(4*v - 3)
Suppose 0 = 3*g - 9, 5*i + 24 = 8*i + 3*g. Suppose 0 = -i*c - q + 6, 5*c - 5*q - 43 + 13 = 0. Factor 1/6 + 1/6*s - 1/6*s**3 - 1/6*s**c.
-(s - 1)*(s + 1)**2/6
Let s(b) = 3*b**4 - 69*b**3 + 338*b**2 - 636*b + 408. Let r(m) = 3*m**4 - 69*m**3 + 339*m**2 - 636*m + 408. Let p(k) = -4*r(k) + 3*s(k). Factor p(j).
-3*(j - 17)*(j - 2)**3
Let k(l) be the first derivative of l**6/3 - 58*l**5/75 - l**4/15 + 385. Solve k(y) = 0 for y.
-1/15, 0, 2
Let z = 43 - 31. Let d(x) = z*x**4 - 7*x**2 + 3*x**3 - 6*x**3 - x**2 + x. Let b(a) = 23*a**4 - 6*a**3 - 16*a**2 + 3*a. Let c(f) = -3*b(f) + 5*d(f). Factor c(y).
-y*(y + 1)*(3*y - 2)**2
Let o(r) be the third derivative of r**5/20 + 91*r**4/24 - 31*r**3/3 + 5*r**2 + 36*r. Solve o(x) = 0.
-31, 2/3
Let o = -21435 + 2272157/106. Let h = o - -3/53. Factor 1/2*p**3 - 1/2 - h*p + 1/2*p**2.
(p - 1)*(p + 1)**2/2
Suppose 0 = 4*m - 8 - 0. Factor -33 + 69 + f**m - 37.
(f - 1)*(f + 1)
Suppose -46*q + 89*q + 578 + 25*q + 5*q**2 - 3*q**2 = 0. What is q?
-17
Let z(m) be the first derivative of -m**5/5 - m**4 - 2*m**3 - 2*m**2 + 8*m - 4. Let a(q) be the first derivative of z(q). Factor a(g).
-4*(g + 1)**3
Determine i so that 2/17*i**2 - 16/17*i - 40/17 = 0.
-2, 10
Let h(v) be the first derivative of -v**4/14 - 2*v**3 + 22*v**2/7 - 215. Determine q, given that h(q) = 0.
-22, 0, 1
Suppose 16*t - 79 = -15. Let h(m) be the first derivative of 2 + 1/35*m**5 + 0*m**t + 0*m + 0*m**2 - 1/21*m**3. Let h(q) = 0. What is q?
-1, 0, 1
Let t be 158/168 - (16 - (-6494)/(-408)). What is g in t - 8/7*g + 2/7*g**2 = 0?
1, 3
Let y(v) be the third derivative of v**6/280 - 4*v**5/105 + 5*v**4/56 + 3*v**3/7 + 3*v**2 - 8*v. Find d such that y(d) = 0.
-2/3, 3
Let f = 183/380 - 17/20. Let s = f + 33/38. Factor -s*d - 1/3 + 1/2*d**2 + 1/3*d**3.
(d - 1)*(d + 2)*(2*d + 1)/6
Factor 8*d + 0 + 10/3*d**3 - 28/3*d**2 - 1/3*d**4.
-d*(d - 6)*(d - 2)**2/3
Let n(z) be the third derivative of -z**8/6720 - z**7/560 - z**6/120 + 7*z**5/60 + 6*z**2. Let m(j) be the third derivative of n(j). Let m(r) = 0. Calculate r.
-2, -1
Suppose 3*q - 2*s - 24 = -8, 0 = 3*q - 3*s - 21. Let f be ((q + -2)/(-4 - -3))/(-2). Factor 4/3*c**4 + 0*c**3 + 2/3*c - 2/3*c**5 + f - 4/3*c**2.
-2*c*(c - 1)**3*(c + 1)/3
Suppose -6*w + 3*w = -x - 6, 0 = -2*x - 2*w + 12. Suppose y + 0*y = x*y. Determine p, given that -2/3*p**2 + 1/3*p + y + 1/3*p**3 = 0.
0, 1
Let c(i) = -145*i**4 - 180*i**3 + 175*i**2 - 15*i - 95. Let y(u) = -9*u**4 - 11*u**3 + 11*u**2 - u - 6. Let w(b) = -4*c(b) + 65*y(b). Factor w(r).
-5*(r - 2)*(r