5/10 - k**4/2 + 4*k**2 + 8*k + 62. Suppose b(c) = 0. What is c?
-2, 2
Find z such that -55*z**3 + 39*z**2 + 3*z**4 + 91*z**3 + 51*z**2 + 84*z + 27 = 0.
-9, -1
Factor -29/8*j - 1/8*j**3 - 5/2 - 5/4*j**2.
-(j + 1)*(j + 4)*(j + 5)/8
Find b such that 564 + 29*b - 6*b**2 - 564 + 34*b + 3*b**2 = 0.
0, 21
Let 3*r**5 + 78*r**3 - 13*r**4 - 32*r**4 - 772 + 772 = 0. Calculate r.
0, 2, 13
Let -12*t - 10*t + 25 - 17*t + t**2 + 13 = 0. What is t?
1, 38
Let g be (-150)/(-35) - 12/4. Let n(z) be the first derivative of 1/21*z**3 + g*z + 3/7*z**2 + 2. Factor n(l).
(l + 3)**2/7
Let l = -69 + 65. Let d be l/(-72)*3 - (-1)/2. Let 0 - 4/3*a**2 + 2/3*a + d*a**3 = 0. What is a?
0, 1
Let i(q) be the third derivative of q**6/200 - 3*q**5/20 + 9*q**4/10 + 185*q**2. Let i(c) = 0. Calculate c.
0, 3, 12
Solve 6*c**2 - 72/7*c + 0 - 3/7*c**3 = 0.
0, 2, 12
Let z(k) be the first derivative of -2*k**3/33 + 14*k**2/11 + 30*k/11 + 19. Factor z(j).
-2*(j - 15)*(j + 1)/11
Let x(v) be the second derivative of 17*v + 4/7*v**2 - 1/35*v**5 + 2/7*v**3 + 0 + 0*v**4. Factor x(g).
-4*(g - 2)*(g + 1)**2/7
Let d(f) be the third derivative of f**8/5040 + f**7/420 + f**6/90 + 7*f**5/30 - 10*f**2. Let v(s) be the third derivative of d(s). Solve v(l) = 0 for l.
-2, -1
Let b(z) be the third derivative of z**10/7560 - z**9/1890 + z**7/315 - z**6/180 + z**4/6 + 6*z**2. Let d(p) be the second derivative of b(p). Factor d(j).
4*j*(j - 1)**3*(j + 1)
Let s be -42*(-11)/((-154)/(-12)). Let k(n) = 8*n**4 - 4*n**3 + 27*n**2 - 11*n - 2. Let a(o) = o**4 + o**2 + o - 1. Let h(f) = s*a(f) - 4*k(f). Factor h(p).
4*(p - 1)**3*(p + 7)
Let m(r) be the second derivative of -r**9/1260 - r**8/3360 + r**7/1260 + 19*r**4/6 - 5*r. Let y(p) be the third derivative of m(p). Factor y(w).
-2*w**2*(2*w + 1)*(3*w - 1)
Let h = 131 + -101. Let r be 16/(-15)*(-75)/h. Determine b so that 8*b**3 + r*b**2 - 10/3*b - 4/3 = 0.
-1/2, 2/3
Factor -9*z**5 + 88*z**4 + 6*z**5 - 89*z**4 + 4*z**5.
z**4*(z - 1)
Let w = 47 - 44. Factor -5*f**5 - 58*f**3 + 20*f**2 + 20*f**2 - 2*f**w + 30*f**4.
-5*f**2*(f - 2)**3
Let x = -14225 + 14229. Factor -1/8*y**5 - 3/8*y**3 - 1/2*y**x + 0*y**2 + 0 + 0*y.
-y**3*(y + 1)*(y + 3)/8
Let m(d) = 2*d - 20. Let v be m(10). Let o(f) be the third derivative of -1/15*f**5 + 2/3*f**3 + 0*f - 1/6*f**4 + v + 1/30*f**6 + 6*f**2. Solve o(z) = 0.
-1, 1
Suppose h + 15 = 5*u, -u - 11 = -3*h - 0*u. Factor t**4 + 0*t**4 - t**2 - 6*t**5 - t**3 + 7*t**h.
t**2*(t - 1)*(t + 1)**2
Let l(r) = 28*r**2 - 194*r - 11. Let z be l(7). Factor 0*j**2 + z*j**3 - 33/2*j**4 + 0 + 21*j**5 + 0*j.
3*j**3*(2*j - 1)*(7*j - 2)/2
Let j(d) = 1. Let u(h) = -h + 5. Let x(y) = -3*j(y) - u(y). Let p be x(12). Solve -3*b**2 + 0*b**2 + 3*b**5 + 0*b**2 + 9*b**3 + b**4 - 10*b**p = 0.
0, 1
Let s(q) = 4*q**3 + q**2 + q - 1. Let d be s(1). Let n = d + 2. Factor -7*w**3 - w**3 + w + n*w**3.
-w*(w - 1)*(w + 1)
Let d(c) be the third derivative of 3 + 1/360*c**6 + 1/60*c**5 - 1/36*c**4 + 7*c**2 + 1/1008*c**8 - 1/210*c**7 + 0*c + 0*c**3. Let d(x) = 0. Calculate x.
-1, 0, 1, 2
Let v(n) be the second derivative of n**7/3360 - n**6/288 + n**5/60 - n**4/24 - 13*n**3/3 - 12*n. Let o(l) be the second derivative of v(l). Factor o(j).
(j - 2)**2*(j - 1)/4
Let n = -1109 + 1113. Let m(g) be the first derivative of 8*g**n + 64/5*g**5 + 5 + 2*g**2 + 0*g - 28/3*g**3. Suppose m(b) = 0. What is b?
-1, 0, 1/4
Let n(w) be the third derivative of -w**5/330 - 7*w**4/132 - 10*w**3/33 - 111*w**2. Factor n(d).
-2*(d + 2)*(d + 5)/11
Let f = 1506/1085 - -46/217. Let 0*g**2 + 0 + 0*g - 2/5*g**5 + f*g**4 - 8/5*g**3 = 0. Calculate g.
0, 2
Let a(y) = y**2 + 4*y - 9. Let z(n) be the third derivative of n**5/6 + 15*n**4/8 - 50*n**3/3 + 6*n**2. Let l(p) = 45*a(p) - 4*z(p). Let l(s) = 0. What is s?
-1, 1
Let g(d) = -8*d**4 - 28*d**3 - 27*d**2 + 3*d + 3. Let j(p) = -15*p**4 - 55*p**3 - 55*p**2 + 5*p + 5. Let k(o) = -5*g(o) + 3*j(o). Factor k(i).
-5*i**2*(i + 2)*(i + 3)
Let p = -136 - -126. Let k be 5 + p/15*3. Factor 0*d + 0 - 8/11*d**k - 18/11*d**5 + 24/11*d**4 + 0*d**2.
-2*d**3*(3*d - 2)**2/11
Let g(x) be the second derivative of x**7/21 - 2*x**6/5 + 6*x**5/5 - 5*x**4/3 + x**3 - 342*x. Determine t so that g(t) = 0.
0, 1, 3
Let z(d) be the first derivative of 45*d**5 + 15*d**4/4 - 590*d**3/3 + 250*d**2 - 120*d + 136. Find s, given that z(s) = 0.
-2, 3/5, 2/3
Let h = -14049/2 - -7026. Factor 2*q - 1/2*q**2 - h.
-(q - 3)*(q - 1)/2
Let l(w) be the second derivative of -w**6/45 - 11*w**5/36 - 2*w**4/27 + w**3/6 - 2*w - 79. Determine z so that l(z) = 0.
-9, -1/2, 0, 1/3
Suppose -2*l - 3 = -1. Let y be -2 + -1 + l + 5 + 1. Factor 0 - 2/5*x**4 + 16/5*x**3 - 32/5*x**y + 0*x.
-2*x**2*(x - 4)**2/5
Let l(h) = h**2. Let o(n) = -3*n**2 + 3*n + 4. Let d(z) = -5*l(z) - o(z). Let u(g) = -g**2 - 2*g - 3. Let t(v) = 2*d(v) - 3*u(v). Factor t(k).
-(k - 1)*(k + 1)
Factor -1/4*j**4 + 1/2*j**3 + 0*j + 0 + 2*j**2.
-j**2*(j - 4)*(j + 2)/4
Factor 62/9*v**2 - 58/9*v + 8/9 - 4/3*v**3.
-2*(v - 4)*(v - 1)*(6*v - 1)/9
Let c(m) = 461*m + 6458. Let u be c(-14). Factor -10/3*s**3 + 8/3*s + s**u + 0 + 4/3*s**2.
s*(s - 2)**2*(3*s + 2)/3
Let a = 32 - 16. Let k = -14 + a. Let 6*y**2 - 4*y**k - 6*y + 4*y = 0. Calculate y.
0, 1
Suppose 0*p + 568 = 4*p + 4*c, -p = -c - 144. Let d be (-1 - 0) + 473/p. Find z, given that -d*z - 2/13*z**3 + 14/13*z**2 + 18/13 = 0.
1, 3
Let v = -594 + 594. Factor 6/13*j**3 + v*j + 8/13 - 14/13*j**2.
2*(j - 2)*(j - 1)*(3*j + 2)/13
Solve 0*i + 0*i**2 + 8/5*i**3 + 0 - 18*i**5 - 176/5*i**4 = 0.
-2, 0, 2/45
Let m be (132/165)/(0 + (-4)/(-10)). Solve -16*g**5 + 26*g**3 - 2*g - 8*g - 70*g**4 - 4 + 42*g**4 + 32*g**m = 0 for g.
-2, -1, -1/4, 1/2, 1
What is n in -4/11*n - 6/11*n**2 + 42/11 = 0?
-3, 7/3
Factor -48/5 - 189/5*p - 36/5*p**4 - 174/5*p**3 - 276/5*p**2 + 3/5*p**5.
3*(p - 16)*(p + 1)**4/5
Let q(f) be the first derivative of 4*f**5/25 + 13*f**4/5 - 116*f**3/15 + 6*f**2 + 148. Determine m, given that q(m) = 0.
-15, 0, 1
Let n = 7 + -1. Let i be (-2 - n)*1/(-1). Factor 0*c - 2*c**2 - 4 + i + 2*c.
-2*(c - 2)*(c + 1)
Let z(l) be the third derivative of l**6/24 - l**5/3 - 145*l**4/24 - 20*l**3 + 398*l**2. Factor z(f).
5*(f - 8)*(f + 1)*(f + 3)
Let v be 42/462 - 2/22. Let q(u) be the third derivative of 3/32*u**4 + 1/480*u**6 - u**2 - 1/40*u**5 + v*u**3 + 0*u + 0. Factor q(p).
p*(p - 3)**2/4
Let r be -1*(96/(-76) + 0). Factor -r*s**2 + 12/19*s**3 - 2/19*s**4 + 20/19*s - 6/19.
-2*(s - 3)*(s - 1)**3/19
Let j(p) be the third derivative of -p**6/720 + p**5/120 + p**4/144 - p**3/12 - 41*p**2. Suppose j(d) = 0. Calculate d.
-1, 1, 3
Let r be (7 - 3 - -1)*1. Let k(c) be the second derivative of -1/3*c**2 + 1/9*c**3 - 1/30*c**r + 1/18*c**4 + 0 + 2*c. Find f, given that k(f) = 0.
-1, 1
Let d be -3 + 8 + (-2245)/450. Let w(i) be the third derivative of 0 + 2/9*i**3 + 1/12*i**4 + 0*i + d*i**5 + 6*i**2. Factor w(l).
2*(l + 1)*(l + 2)/3
Let h(a) = -a**3 - a + 2. Let c be ((-1 - -1) + -1)/(18/36). Let g(k) = -k**3 - 5*k + 2. Let y(o) = c*h(o) + g(o). Factor y(t).
(t - 2)*(t + 1)**2
Let k(g) = -10*g**4 + 23*g**3 - 69*g**2 + 63*g. Let r(s) = -6*s**4 + 12*s**3 - 34*s**2 + 32*s. Let f(a) = 4*k(a) - 7*r(a). Factor f(b).
2*b*(b - 2)*(b - 1)*(b + 7)
Let v(u) = 6*u - 16. Let t be v(3). Factor 350*z**t + 8 + 4*z + 4*z - 362*z**2 - 4*z.
-4*(z - 1)*(3*z + 2)
Let -12 - 26/5*d + 2/5*d**2 = 0. What is d?
-2, 15
Let o(m) = 3*m**5 - m**4 - 7*m**3 - 3*m**2 + 4*m. Let q(l) = 7*l**5 - l**4 - 14*l**3 - 6*l**2 + 9*l. Let s(n) = 9*o(n) - 4*q(n). Factor s(u).
-u**2*(u + 1)**2*(u + 3)
Determine k so that 0 - 15/8*k + 33/8*k**2 - 21/8*k**3 + 3/8*k**4 = 0.
0, 1, 5
Let x(z) = -5*z**4 + 7*z**3 + 10*z**2 - 7*z + 2. Let p(n) = 2*n**4 - 3*n**3 - 4*n**2 + 3*n - 1. Let b(m) = -7*p(m) - 3*x(m). Factor b(g).
(g - 1)**2*(g + 1)**2
Let r(g) = -2*g - 86. Let n be r(-44). Let l(v) be the first derivative of 2/21*v**3 - 1/7*v - 2 - 1/14*v**n. Determine p so that l(p) = 0.
-1/2, 1
Let v(b) be the first derivative of -b**4 + 52*b**3 - 864*b**2 + 3888*b - 724. Factor v(j).
-4*(j - 18)**2*(j - 3)
Let v(p) be the first derivative of -p**6/240 + 7*p**5/120 + p**4/6 + 31*p**2/2 + 18. Let l(s) be the second derivative of v(s). Let l(d) = 0. What is d?
-1, 0, 8
Suppose 0 = -8*q - 34 + 58. Suppose 2*o - 1 = q. Solve -4/9*h**3 + 4/9*h - 2*h**o + 0 + 2*h**4 = 0 for h.
-1, 0