+ o. Let f(b) = j*p(b) + 2*t(b). Factor f(m).
m*(m - 1)*(m + 1)**2
Suppose 3*l - 5 - 4 = 0. Solve -10*a**l - 9*a**2 + 3*a**4 - 3 + 7*a**2 + 2*a**5 - 5 - a**4 + 16*a = 0 for a.
-2, 1
Let t = 5931/4 - 29647/20. Determine o, given that 64/5 + 4*o**2 + 64/5*o + t*o**3 = 0.
-4, -2
Find h such that -95*h + 62*h - h**2 - 784 + 89*h = 0.
28
Let f(n) be the first derivative of -2*n**5/5 - 2*n**4 + 2*n**3 + 10*n**2 - 16*n - 94. Factor f(o).
-2*(o - 1)**2*(o + 2)*(o + 4)
Let m(s) = s**3 - 7*s**2 + 9*s - 8. Let u be m(6). Factor 32*h**3 - 20*h**3 - u + 23*h + h**4 - 11*h**3 - 14*h**2 - h**2.
(h - 2)*(h - 1)**2*(h + 5)
Let b = -49 + 44. Let t(w) = 63*w**3 + 129*w**2 - 108*w - 18. Let i(h) = -18*h**3 - 37*h**2 + 31*h + 5. Let u(c) = b*t(c) - 18*i(c). Factor u(z).
3*z*(z + 3)*(3*z - 2)
Let h = -22 + 49. Factor o - 3*o**2 - h - o - 18*o.
-3*(o + 3)**2
Let h(i) = 11*i**4 + 128*i**3 + 94*i**2 - 116*i - 105. Let j(o) = 12*o**4 + 131*o**3 + 93*o**2 - 117*o - 105. Let t(g) = 7*h(g) - 6*j(g). Factor t(f).
5*(f - 1)*(f + 1)**2*(f + 21)
Let m(r) be the first derivative of -r**4/16 - 2*r**3/3 - 73. Factor m(h).
-h**2*(h + 8)/4
Let j(g) = g + 11. Let q be j(-11). Let m be 2/1 + q + 0. Let 3 + i**3 + i - 2*i**3 - m - i**2 = 0. Calculate i.
-1, 1
Let n(i) = -i**2 - 9*i + 24. Let o be n(-11). Factor -2*b**2 - 628*b + 635*b + 5*b**2 + o.
(b + 2)*(3*b + 1)
Let o(t) = -9*t**4 - 7*t**3 + 24*t**2 + 102*t + 106. Let k(i) = -8*i**4 - 8*i**3 + 24*i**2 + 104*i + 104. Let s(y) = 5*k(y) - 4*o(y). Factor s(j).
-4*(j - 3)*(j + 2)**3
Let d(l) = 4*l**3 + 4. Let g(w) = 5*w**3 - w**2 - w + 5. Suppose 0 = 4*y - 24 + 40. Let s(z) = y*d(z) + 3*g(z). Let s(i) = 0. What is i?
-1
Let s = 947 + -942. Let x be (0/3)/2*1. Let x + 21/2*j**3 + 12*j**4 + 9/2*j**s + 3*j**2 + 0*j = 0. What is j?
-1, -2/3, 0
Let a(q) be the first derivative of 5*q**4/12 - 35*q**3/6 + 25*q**2 + 13*q + 2. Let d(c) be the first derivative of a(c). Suppose d(j) = 0. Calculate j.
2, 5
Factor 1/5*f**3 + 0*f**2 - 4/5*f + 0.
f*(f - 2)*(f + 2)/5
Suppose -1/2*j**3 - 657*j + 162 + 289/8*j**2 = 0. What is j?
1/4, 36
Suppose -340*a - 849*a - 251*a + 26645*a**3 - 25185*a**2 - 20 = 0. What is a?
-2/73, 1
Let f(o) be the second derivative of -2*o**7/21 - 4*o**6/15 - o**5/5 - 99*o + 1. Factor f(j).
-4*j**3*(j + 1)**2
Let q = -4 + 16. Find u, given that q*u**4 + 8*u**2 - u**2 + 17*u**2 - 3*u - 2*u**5 - 26*u**3 - 5*u = 0.
0, 1, 2
Let k(u) be the second derivative of -u**8/60480 + u**6/6480 - u**4 + 42*u. Let s(r) be the third derivative of k(r). Suppose s(j) = 0. What is j?
-1, 0, 1
Let u(f) = -f**2 - 3*f. Let j(d) = -11*d**2 - 123*d - 340. Let b(s) = j(s) - 6*u(s). What is w in b(w) = 0?
-17, -4
Let o(u) = 2*u**5 + 4*u**4 + 10*u**3 + 4*u**2. Let p(d) = d**5 + d**4 + d**3. Let j(k) = o(k) - 4*p(k). Factor j(a).
-2*a**2*(a - 2)*(a + 1)**2
Let p be 6/12*18/3. Suppose -3*f + a + 25 = -p*a, 4*f + 5*a = -8. Factor 0*d**2 + 0 + 2/5*d**f + 0*d.
2*d**3/5
Let d be (-340)/34 + 1*6 + 8. Find l such that 0*l + 1/5*l**d - 1/5*l**2 + 0 + 0*l**3 = 0.
-1, 0, 1
Let t = 26 - 24. Suppose i**t + 3*i**2 - 58*i + 54*i = 0. What is i?
0, 1
Let z(u) be the second derivative of 0*u**3 + 0 - 1/60*u**4 - 5*u - 1/210*u**7 - 1/50*u**6 - 3/100*u**5 + 0*u**2. Find c such that z(c) = 0.
-1, 0
Let n(o) be the first derivative of -4*o**3/3 - 8*o**2 - 12*o - 107. Suppose n(f) = 0. What is f?
-3, -1
Let s(z) = 19*z**3 + 7*z + 13. Let l(r) = -9*r**3 - 3*r - 6. Suppose -5*i - c - 14 - 50 = 0, 3*c = 3. Let f(h) = i*l(h) - 6*s(h). Factor f(j).
3*j*(j - 1)*(j + 1)
Suppose 81 = -39*r + 198. Factor -1/3*a**2 + 4/9*a**4 - 8/9*a + 1/3 + 4/3*a**r.
(a + 1)*(a + 3)*(2*a - 1)**2/9
Let v(k) = 2*k**4 - 3*k**3 + k**2 + 3. Let p(h) = 2*h**4 - 4*h**3 + 2*h**2 + 4. Let a be (-3)/2 - (-9)/(-6). Let i(s) = a*p(s) + 4*v(s). What is l in i(l) = 0?
-1, 0, 1
Let l be 17 - (1 - 2)*1. Let d(q) = 30 - 9 + 48*q + l + 3*q**2. Let i(o) = o**2 + 12*o + 10. Let a(r) = -2*d(r) + 9*i(r). Factor a(m).
3*(m + 2)**2
Suppose -58*y + 2*i = -63*y + 2, 0 = 3*y - i - 10. Find l, given that -4/7*l**3 + 4/7*l + 0 + 0*l**y = 0.
-1, 0, 1
Let d(q) be the first derivative of -q**4/24 + 26*q**3/9 - 49*q**2/3 + 32*q - 394. Factor d(m).
-(m - 48)*(m - 2)**2/6
Let q(j) be the first derivative of 45 - 4*j - 5*j**2 - 1/10*j**5 - 7/8*j**4 - 3*j**3. Determine p so that q(p) = 0.
-2, -1
Let v(j) be the third derivative of j**8/168 - j**7/21 + 3*j**6/20 - 7*j**5/30 + j**4/6 + 40*j**2. Determine k, given that v(k) = 0.
0, 1, 2
Let x = -14/39 + 319/780. Let y(h) be the second derivative of 0*h**2 + 0 - 1/3*h**3 - 4*h - x*h**5 + 1/4*h**4. Let y(z) = 0. Calculate z.
0, 1, 2
Find l, given that -72*l**3 + 40/7*l**4 + 784*l + 224*l**2 + 0 - 1/7*l**5 = 0.
-2, 0, 14
Let f(j) be the third derivative of -j**8/90720 + j**6/810 + j**5/4 - 33*j**2. Let s(h) be the third derivative of f(h). Solve s(g) = 0 for g.
-2, 2
What is f in 0*f**2 - 62/7*f**4 + 0*f + 0 + 2/7*f**5 + 0*f**3 = 0?
0, 31
Let r = 0 + 2. Let t(j) = j**2 + j - 3. Let m be t(-3). Factor -3*c**2 + m*c**3 + 4*c**2 - c**4 + c - 4*c**r.
-c*(c - 1)**3
Let r be (1937/(-210))/13 - 6/(-45). Let o = -1/210 - r. Factor -2/7*m**4 + 2/7 + o*m - 4/7*m**3 + 0*m**2.
-2*(m - 1)*(m + 1)**3/7
What is k in -9/4 + 3*k**2 + 3/2*k - 3/2*k**3 - 3/4*k**4 = 0?
-3, -1, 1
Find x, given that -1/2*x**2 - 1/6*x + 1/2 + 1/6*x**3 = 0.
-1, 1, 3
Suppose 5*b + 5*j + 10 = -5, 5*b - 4*j - 30 = 0. Let q(r) be the first derivative of 3 + 1/3*r**3 + 16*r - 4*r**b. Factor q(g).
(g - 4)**2
Let u(h) be the first derivative of h**4/9 + 2*h**3/3 + h**2/3 - 8*h/9 - 70. Suppose u(k) = 0. Calculate k.
-4, -1, 1/2
Let w(i) = 184*i - 16. Let u(z) = -z**2 + 921*z - 88. Let k(f) = 4*u(f) - 22*w(f). Find d such that k(d) = 0.
-91, 0
Let c(w) = w. Let y be -5*2/(-5)*-2. Let o(n) = -3*n**2 - 16*n - 8. Let r(l) = y*c(l) - o(l). Let g(q) = -q**2. Let d(a) = -g(a) + r(a). Factor d(u).
4*(u + 1)*(u + 2)
Let c = 515/1554 - -1/518. Let y(k) be the third derivative of -1/60*k**6 - c*k**3 + 0 + 0*k - 1/4*k**4 - 3*k**2 - 1/10*k**5. Solve y(v) = 0 for v.
-1
Factor -882/17 + 798/17*r + 82/17*r**2 + 2/17*r**3.
2*(r - 1)*(r + 21)**2/17
Let p = 23 + -20. Factor -126*i**3 - 6*i + 128*i**p - 4*i**2 + 0*i.
2*i*(i - 3)*(i + 1)
Let b(d) = 13*d + 79. Let i be b(-6). Let a be 18/i*(-2)/(-15). Let -a*o**4 + 12/5*o**2 - 8/5*o + 0 + 4/5*o**5 + 4/5*o**3 = 0. What is o?
-1, 0, 1, 2
Let -2/11*q**2 - 40/11 + 18/11*q = 0. What is q?
4, 5
Suppose -65*c + 36*c - 85 + 4*c + 5*c**2 - 55*c = 0. Calculate c.
-1, 17
Suppose 2*h = 6*h - 24. Suppose -i = 3*z - 4 - 9, h = 3*i - 2*z. Determine n, given that -n**4 + 4*n**3 + 12*n**2 + 5*n + 5*n**i - n + 8*n**3 = 0.
-1, 0
What is v in 1360 + 4*v + 5*v**2 - 1360 + v**3 = 0?
-4, -1, 0
Let x = 227 - 145. Suppose -o + x = 78. Factor -27/2*h**2 - 3 - 3/2*h**o - 21/2*h - 15/2*h**3.
-3*(h + 1)**3*(h + 2)/2
Let o(j) be the third derivative of -4*j**2 - 5/1008*j**8 + 0*j**3 + 0*j + 1/90*j**5 + 0 - 1/40*j**6 + 2/105*j**7 + 0*j**4. Suppose o(p) = 0. What is p?
0, 2/5, 1
Determine a, given that 4/3*a**3 - 16/3*a**2 + 0*a + 10/3*a**4 + 0 + 2/3*a**5 = 0.
-4, -2, 0, 1
Let s(u) be the second derivative of u**5/50 - 7*u**4/15 + 13*u**3/3 - 20*u**2 - 310*u. Find z such that s(z) = 0.
4, 5
Let o(u) be the third derivative of u**5/420 - u**4/28 - u**3/6 + 2*u**2 + 29. Let o(d) = 0. What is d?
-1, 7
Suppose 5*x + 18 = 3. Let z(g) = -g**3 - 2*g**2 + 2*g - 3. Let c be z(x). Determine i so that c - 2/3*i**2 + 0*i + 2/3*i**5 + 2/3*i**4 - 2/3*i**3 = 0.
-1, 0, 1
Let c = 437 - 437. Let b(p) be the third derivative of 1/180*p**5 - 1/630*p**7 + c*p**4 + 1/360*p**6 + 0 + 2*p**2 - 1/1008*p**8 + 0*p**3 + 0*p. Factor b(t).
-t**2*(t - 1)*(t + 1)**2/3
Let y(m) = -m**4 - 2*m + 1. Let t(o) = 9*o**4 - 39*o**3 + 69*o**2 - 21*o - 6. Let i(b) = t(b) + 6*y(b). Factor i(j).
3*j*(j - 11)*(j - 1)**2
Suppose 64/3*l + 20/3 + 32/3*l**3 + 24*l**2 + 4/3*l**4 = 0. Calculate l.
-5, -1
Let o(n) be the second derivative of n**5/80 - 7*n**4/48 - 27*n + 1. Factor o(l).
l**2*(l - 7)/4
Let w(g) be the first derivative of -g**5/50 - 3*g**4/20 + 2*g**3 + 55*g**2/2 + 225*g/2 - 107. Factor w(p).
-(p - 9)*(p + 5)**3/10
Let q = -9 + 13. Let l(b) be the third derivative of -1/16*b**q - 1/120*b**5 + 0*b + 2*b**2 - 1/6*b**3 + 0. Factor l(n).
-(n + 1)*(n + 2)/2
Suppose -254*p - 3*p**3 + 0*