26*m = 0. What is m?
-2, 1
Let y(o) = -15*o**4 - 8*o**3 + 22*o**2 + 5*o - 16. Let i(j) = -105*j**4 - 55*j**3 + 155*j**2 + 35*j - 110. Let q(z) = -3*i(z) + 20*y(z). Factor q(x).
5*(x - 1)*(x + 1)**2*(3*x - 2)
Find h, given that 400*h + 20*h**2 + 6178 + 15*h**3 - 20*h**3 - 5218 = 0.
-4, 12
Let b(c) = 314*c - 5335. Let u be b(17). Factor -7/3*x**2 - 4 + 16/3*x + 1/3*x**u.
(x - 3)*(x - 2)**2/3
Determine s so that -5*s - 65*s**3 - 55*s**3 + 10*s - 45*s**5 - 130*s**4 + 76*s**2 - 106*s**2 = 0.
-1, 0, 1/9
Let y(z) = 11*z**2 + 32*z + 2. Let q be y(-3). Let v(w) be the third derivative of 1/9*w**3 + 0 + 0*w**4 - 3*w**2 + 0*w - 1/90*w**q. Factor v(i).
-2*(i - 1)*(i + 1)/3
Find x such that -128625/2 - 156*x**3 - 58800*x + 3/2*x**4 + 5355*x**2 = 0.
-1, 35
Suppose 47*s = -4*u + 45*s + 4, 4*s - 8 = u. Factor u - 1/4*l**4 + 0*l + 0*l**2 + 1/4*l**5 + 0*l**3.
l**4*(l - 1)/4
Determine n, given that -1/2*n - 3/4*n**2 - 1/4*n**3 + 0 = 0.
-2, -1, 0
Let z = 711 + -709. Let i(x) be the first derivative of 5/4*x**4 + 6*x**z - 6*x**3 - 6 + 8*x. Factor i(l).
(l - 2)**2*(5*l + 2)
Let m be 10/4 - (-1 - 2)/6. Let j be 20/150*(7 + m). Factor 8/3*r**2 - j + 0*r + 0*r**3 - 4/3*r**4.
-4*(r - 1)**2*(r + 1)**2/3
Let l = -34 - -40. Factor 4*r**2 - l - r**3 - 11 - 3*r + 17.
-r*(r - 3)*(r - 1)
Let f(l) be the first derivative of l**5 + 19*l**4/4 + 7*l**3 + 5*l**2/2 - 2*l - 186. Factor f(h).
(h + 1)**2*(h + 2)*(5*h - 1)
Suppose 0 = -4*y - 19 + 31. Let g(b) be the second derivative of 0 + 2*b**y - 2*b**2 - 4*b + 7/12*b**4. Factor g(d).
(d + 2)*(7*d - 2)
Let c(h) be the first derivative of -3*h**4/8 - h**3 + 33*h**2/4 + 18*h - 24. Factor c(y).
-3*(y - 3)*(y + 1)*(y + 4)/2
Let p(o) be the third derivative of -o**8/560 - o**7/350 + 430*o**2. Determine y, given that p(y) = 0.
-1, 0
Let p = 1/1582 + 2711/1582. Solve p*x**2 - 8/7 - 4/7*x**3 + 4/7*x - 4/7*x**4 = 0 for x.
-2, -1, 1
Let p(y) be the first derivative of -2*y**6/27 - 8*y**5/45 - y**4/9 - 38. Let p(f) = 0. Calculate f.
-1, 0
Let d(z) be the third derivative of 1/180*z**6 + 0 + 23*z**2 + 0*z + 1/36*z**4 + 2/45*z**5 - 2/3*z**3. Factor d(w).
2*(w - 1)*(w + 2)*(w + 3)/3
Factor -d**2 - 8*d**2 + 18*d**2 - 3*d - 8*d**2 - 3*d - 27.
(d - 9)*(d + 3)
Let m = -160 + 162. Let w(n) be the first derivative of 8/3*n**3 - n**4 + 0*n + 4 - m*n**2. Find h such that w(h) = 0.
0, 1
Suppose -2 = -3*i - n + 7, -n = -3. Let d be (1/3)/((-25)/(-150)). Determine j so that 15*j**i - j**2 - d*j**2 + 8 + 20*j = 0.
-1, -2/3
Let y(a) = a**3 - 315*a**2 - 3915*a + 4211. Let b(x) = 2*x**3 - 320*x**2 - 3915*x + 4212. Let j(p) = 6*b(p) - 7*y(p). Factor j(s).
5*(s - 1)*(s + 29)**2
Factor -70 + 4*y - 77 + 159 - 2*y - 10*y**2 - 4*y**3.
-2*(y - 1)*(y + 2)*(2*y + 3)
Let f = 101/80 + -17/16. Let p(g) be the first derivative of -f*g**3 + 4 - 3/10*g**2 + 3/20*g**4 + 3/5*g. Factor p(b).
3*(b - 1)**2*(b + 1)/5
Let y(j) = 2*j**3 - 4*j**2 + j + 2. Let x be y(2). Suppose x*f - 9*f**3 + 8*f**4 + 42 - 4*f**5 - 16*f**2 - 34 + f**3 + 8*f**5 = 0. Calculate f.
-2, -1, 1
Let i = -190 - -2852/15. Let l(x) be the third derivative of 1/150*x**6 + 0*x + 2/75*x**5 - x**2 - 16/15*x**3 + 0 - i*x**4. Factor l(s).
4*(s - 2)*(s + 2)**2/5
Let x(p) = -347*p + 1041. Let b be x(3). Factor -2/5*c - c**2 + 7/5*c**3 + b.
c*(c - 1)*(7*c + 2)/5
Let c(t) = -9*t**4 - 11*t**3 + 19*t**2 - 5*t - 2. Let h(m) = 26*m**4 + 32*m**3 - 58*m**2 + 15*m + 7. Let k(z) = -11*c(z) - 4*h(z). Factor k(w).
-(w - 1)**2*(w + 3)*(5*w + 2)
Suppose s - 5 = 3*j + 2*s, 5 = 3*j - s. Suppose 7 = 2*d + c - 5, -5*d - 4*c + 33 = j. Solve 16/7*v**4 - 8/7 + 20/7*v - 4/7*v**d - 16/7*v**3 - 8/7*v**2 = 0.
-1, 1, 2
Let l(g) = -9*g + 31. Let h be l(-14). Let n = h + -155. Determine q, given that 2/7*q**n + 4/7*q - 6/7 = 0.
-3, 1
Let s be 304/15960 + (-8)/(-30). Factor 0*l**2 - 4/7*l + 2/7 + 4/7*l**3 - s*l**4.
-2*(l - 1)**3*(l + 1)/7
Let y(m) = -11*m**4 + 16*m**3 - 6*m**2 - 12*m. Let o(t) = 120*t**4 - 175*t**3 + 65*t**2 + 130*t. Let h(x) = 6*o(x) + 65*y(x). Solve h(u) = 0 for u.
0, 2
Suppose 28 = -5*a + 12*a. Let g(n) be the second derivative of 0 + 1/120*n**6 - n + 0*n**2 + 0*n**3 + 0*n**a - 1/80*n**5. Factor g(q).
q**3*(q - 1)/4
Let q(m) be the third derivative of m**8/7560 + m**7/945 + m**6/324 + m**5/270 + m**3/2 + 12*m**2. Let r(z) be the first derivative of q(z). Factor r(b).
2*b*(b + 1)**2*(b + 2)/9
Suppose -7*r = 2*g - 5*r - 4, -4*r + 4 = 2*g. Factor -16/13 - 6/13*v**g + 28/13*v.
-2*(v - 4)*(3*v - 2)/13
Find o, given that 231/2*o**3 - 48*o + 123/2*o**2 + 6 = 0.
-1, 2/11, 2/7
Let o(n) be the second derivative of 3*n + 1/66*n**4 + 0 + 5/11*n**2 + 2/11*n**3. Factor o(d).
2*(d + 1)*(d + 5)/11
Let t(a) be the third derivative of 0 + 1/30*a**5 - 1/105*a**7 + 25*a**2 - 1/30*a**6 + 1/6*a**4 + 0*a**3 + 0*a. Find s, given that t(s) = 0.
-2, -1, 0, 1
Let a(n) be the second derivative of n**4/12 - 50*n**3 + 11250*n**2 - 23*n + 3. Find s such that a(s) = 0.
150
Let 15781*p**2 - 55*p - 15785*p**2 - 61*p + 144 - 24*p = 0. Calculate p.
-36, 1
Factor 0*t**2 - 9/2*t**3 + 3/4*t**4 + 0 + 0*t + 3/2*t**5.
3*t**3*(t + 2)*(2*t - 3)/4
Let -1/7*s**5 - 8/7*s - 10/7*s**2 + 4/7*s**4 + 3/7*s**3 + 0 = 0. What is s?
-1, 0, 2, 4
Let l be 33/7 + (-18)/(-63). Let u = -2 + l. Solve -2 - 25*m**5 + 2 - m - 12*m**2 - 61*m**3 + 15*m**u - 60*m**4 = 0 for m.
-1, -1/5, 0
Let s(i) be the first derivative of -i**4/10 + 32*i**3/15 + 17*i**2/5 - 322. Factor s(p).
-2*p*(p - 17)*(p + 1)/5
Let c(q) = -6*q - 11. Let m(f) = -13*f - 23. Let j(l) = 14*c(l) - 6*m(l). Let h be j(-3). Factor 2/9*k**5 - 2/9 + 4/9*k**h - 4/9*k**3 + 2/9*k - 2/9*k**4.
2*(k - 1)**3*(k + 1)**2/9
Let y(d) be the first derivative of 2*d**3/27 - 17*d**2/3 + 100*d/9 - 419. Determine l so that y(l) = 0.
1, 50
Let b(l) be the first derivative of l**6/360 - l**5/24 + l**4/4 + l**3 - 13. Let g(u) be the third derivative of b(u). Solve g(x) = 0.
2, 3
Let t = 509/135 + -100/27. Let r(h) be the third derivative of 1/6*h**4 + 0*h**3 + 0 + 0*h - 6*h**2 - t*h**5. Find k, given that r(k) = 0.
0, 1
Let q(k) be the first derivative of -k**9/945 - k**8/2100 - 7*k**3/3 - 25. Let v(n) be the third derivative of q(n). Factor v(o).
-4*o**4*(4*o + 1)/5
Let c(n) be the second derivative of n**6/60 - n**5/20 + n**4/24 + 63*n. Factor c(a).
a**2*(a - 1)**2/2
Let f = -149 + 149. Let t(i) be the third derivative of 0*i + 1/6*i**4 - 1/10*i**5 + f*i**3 + 0 + 8*i**2 + 1/60*i**6. Factor t(w).
2*w*(w - 2)*(w - 1)
Let o = 5650 - 11299/2. Factor o*g**2 + 32 - 8*g.
(g - 8)**2/2
Let 13/2*n**4 + 0*n + 1/4*n**5 + 23/2*n**2 + 71/4*n**3 + 0 = 0. Calculate n.
-23, -2, -1, 0
Let z(d) be the third derivative of -d**7/70 + d**6/15 + d**5/10 - d**4/3 - d**3/2 - d**2 + 542. Find v, given that z(v) = 0.
-1, -1/3, 1, 3
Let c(j) be the third derivative of j**7/630 + j**6/45 + 23*j**5/180 + 7*j**4/18 + 2*j**3/3 + j**2 + 17. Solve c(v) = 0 for v.
-3, -2, -1
Suppose 3*c = -4*o + 133 - 569, -408 = 3*c - 3*o. Let x be (-76)/c + 0 + 6/(-15). Factor 3/7*p**3 + 0 - 1/7*p**4 + x*p - 3/7*p**2.
-p*(p - 1)**3/7
Let k(a) = -a**3 - 3*a**2 - 30*a - 28. Let t be k(-1). Factor -1/4*h**4 + 0 - 3/2*h**3 + 0*h + t*h**2.
-h**3*(h + 6)/4
Let y(d) be the second derivative of d**7/56 + 3*d**6/40 - 3*d**5/40 - 3*d**4/4 - d**3 + 2*d + 7. Find z, given that y(z) = 0.
-2, -1, 0, 2
Let c be (7/2)/(3000/224 + -12). Let q(j) be the first derivative of 42/13*j**2 - 18/13*j - c*j**3 + 1. Factor q(a).
-2*(7*a - 3)**2/13
Determine w so that -2/11*w**5 + 16/11*w - 14/11*w**3 + 8/11 + 2/11*w**2 - 10/11*w**4 = 0.
-2, -1, 1
Let n(j) be the first derivative of j**6/240 - j**5/80 + j**4/96 - 7*j + 2. Let q(m) be the first derivative of n(m). Solve q(i) = 0.
0, 1
Let w(v) be the second derivative of -v**5/12 + 5*v**4/4 - 15*v**3/2 - 5*v**2 + 6*v. Let m(b) be the first derivative of w(b). Solve m(d) = 0.
3
Let t = 1165 + -1165. Let 1/3*g**4 - 5/3*g**2 - g + t - 1/3*g**3 = 0. What is g?
-1, 0, 3
Let o(w) be the first derivative of w**9/21168 - w**7/1960 - w**6/1260 - 2*w**3/3 + 14. Let v(t) be the third derivative of o(t). Let v(f) = 0. Calculate f.
-1, 0, 2
Suppose -4*n + 15 = 7. Factor -6*g - 3 + 2*g**2 + 8*g - 13*g + 2*g**n.
(g - 3)*(4*g + 1)
Let v(b) = b**2 - 6*b + 21. Suppose 3*l + 60 = 5*g, -2*l = 5*g - l - 40. Let h(q) = -2*q**2 + 11*q - 41. Let z(r) = g*v(r) + 4*h(r). Factor z(c).
(c - 5)**2
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