 q, given that y + 1/9*q**2 - 8/9*q = 0.
4
Factor -16/3*y - 8/3*y**3 - 1/3*y**4 - 6*y**2 - 5/3.
-(y + 1)**3*(y + 5)/3
Let j(r) be the second derivative of r**4/4 - 36*r**3 + 1944*r**2 - 16*r - 2. Find p, given that j(p) = 0.
36
Let p be (2 + (-35)/10)/((-6)/16). Let o(d) be the second derivative of 1/36*d**3 - 1/72*d**p - 8*d + 0 + 1/6*d**2. Determine t so that o(t) = 0.
-1, 2
Factor -4/9*g**4 + 4/3*g**2 - 20/9*g + 8/9 + 4/9*g**3.
-4*(g - 1)**3*(g + 2)/9
Let v(o) be the first derivative of -2*o**5/15 - 2*o**4 - 94*o**3/9 - 24*o**2 - 24*o - 144. Suppose v(r) = 0. What is r?
-6, -3, -2, -1
Factor 1 - 2 - 20*p**2 - 3 + 4*p**3 + 26*p - 9*p.
(p - 4)*(2*p - 1)**2
Let h = 32716/4911 - -8/1637. Factor -h - 5/3*p**2 - 20/3*p.
-5*(p + 2)**2/3
Let t(m) = 5*m + 2. Let h be t(-3). Let z = -10 - h. Determine y so that 9*y + 3 + 9*y**2 + 3*y**3 + z*y**3 - 3*y**3 = 0.
-1
Let o(n) be the first derivative of -n**6/14 + 9*n**5/35 - 9*n**4/28 + n**3/7 + 10. Find s such that o(s) = 0.
0, 1
Let w(m) be the first derivative of 243*m**4/16 - 9*m**3/2 - 84*m**2 - 96*m - 612. Factor w(o).
3*(o - 2)*(9*o + 8)**2/4
Suppose 2*z - 5*i + 17 = -23, 0 = 4*z + 3*i - 24. Determine f, given that -5/6*f**2 + 2/3*f**3 - 1/6*f**4 + z + 1/3*f = 0.
0, 1, 2
Let g(d) = -1. Suppose 2*t - 3*t + 21 = -4*m, -3*t + 28 = -5*m. Let v(l) = 3*l**3 + 9*l**2 + 9*l - 2. Let k(o) = m*g(o) + v(o). Suppose k(u) = 0. Calculate u.
-1
Suppose -5*g - 25 = -2*x, -g - 1 = -0. Suppose -t + x = 5. Factor 3*a**3 + 2*a + 3 + 2*a + t*a + 0*a + 9*a**2.
3*(a + 1)**3
Let i(d) = 375*d**4 + 808*d**3 - 39*d**2 - 420*d + 120. Let u(r) = -125*r**4 - 269*r**3 + 12*r**2 + 140*r - 40. Let h(p) = 6*i(p) + 17*u(p). Factor h(l).
5*(l + 1)*(l + 2)*(5*l - 2)**2
Let p be (-53)/(5936/(-2176)) - 19. Factor 1/7*f**4 - 5/7*f**2 - 1/7*f**3 + 0 - p*f.
f*(f - 3)*(f + 1)**2/7
Let x(k) be the third derivative of k**8/2184 + k**7/273 + 7*k**6/780 - k**5/390 - 2*k**4/39 - 4*k**3/39 - 820*k**2. Solve x(h) = 0 for h.
-2, -1, 1
Find o such that 6/7*o**3 - 8/7 - 16/7*o - 2/7*o**2 = 0.
-1, -2/3, 2
Suppose 24*r - 22*r + 10*r = 36. Find i such that i + 27/4*i**4 + 33/2*i**r + 47/4*i**2 - 1 = 0.
-1, -2/3, 2/9
Let o(f) = -f**3 - 16*f**2 + 10*f + 3. Let z be o(0). Suppose -32/3 - 18*s**z + 184/3*s - 56*s**2 = 0. Calculate s.
-4, 2/9, 2/3
Let y be 7*8/60 - (165/25 + -7). Determine n so that 0 + y*n**2 + 2*n - 2/3*n**3 = 0.
-1, 0, 3
What is k in -1/6*k**3 + 31/6*k + 14/3*k**2 - 29/3 = 0?
-2, 1, 29
Let d be 1/(-3 - (-35)/12). Let v = d + 18. What is f in -2*f + 3*f**3 + 7*f**4 - 2*f - v*f**4 = 0?
-2, 0, 1
Suppose 0 = -50*q + 79 + 21. Let w(i) be the second derivative of 0*i**q - 7*i + 1/14*i**3 + 0 + 1/84*i**4. Suppose w(c) = 0. Calculate c.
-3, 0
Suppose -2*r = -3*r - g + 7, 4*g = 5*r + 10. Let h be (5/r)/(3/6). Let -3*k**2 + 4*k**3 - 6*k**3 + h*k**3 = 0. What is k?
0, 1
Let q be 1*(-6 + 2)*1. Let b(m) = m**2 + 5*m + 8. Let w be b(q). Factor 456*s**5 - 132*s**2 + 345*s**3 + 132*s**5 + 186*s**3 - 1342*s**4 + 12*s + 418*s**w.
3*s*(2*s - 1)**2*(7*s - 2)**2
Let t(x) = -x**3 + 9*x**2 - 16*x - 12. Let k be t(6). Let w(m) be the third derivative of 0*m**4 + 0*m + 1/21*m**3 - 1/210*m**5 + k - 2*m**2. Factor w(s).
-2*(s - 1)*(s + 1)/7
Let f(a) be the second derivative of -2*a**7/189 - a**6/45 + a**5/90 + a**4/18 + a**3/27 - 464*a. Suppose f(b) = 0. What is b?
-1, -1/2, 0, 1
Let r = 259 - 135. Let u be r/(-34) + 5 + -1. Factor 8/17 - 2/17*c**2 + u*c.
-2*(c - 4)*(c + 1)/17
Let s(l) = -5*l + 18. Let z be s(3). Let b(a) be the first derivative of -a**6 - 5 + 3*a**2 + 21/5*a**5 + 2*a**z - 6*a**4 - 3*a. Suppose b(p) = 0. What is p?
-1/2, 1
Let l(m) be the second derivative of 0*m**2 + 0 - 1/24*m**3 - 1/168*m**7 + 0*m**4 - m + 0*m**6 + 1/40*m**5. Factor l(h).
-h*(h - 1)**2*(h + 1)**2/4
Let c(j) be the third derivative of j**6/60 - 13*j**5/30 + 11*j**4/6 - 7*j**2 + 6. Factor c(p).
2*p*(p - 11)*(p - 2)
Factor 0 + 3*b**3 - 5/2*b**2 + 0*b - 1/2*b**4.
-b**2*(b - 5)*(b - 1)/2
Let w be 3*((-122)/(-6) - (-6)/6). Let d = w + -61. Factor 3*n**d + 6 + 27/2*n**2 + 18*n.
3*(n + 2)**2*(2*n + 1)/2
Suppose 285 = 49*m + 89. Let j(n) be the third derivative of 0*n - 1/60*n**5 + 0 - 1/12*n**m - 14*n**2 + 0*n**3. Factor j(d).
-d*(d + 2)
Let j(q) = q**4 - 15*q**3 + q**2 + 9*q - 8. Let o(n) = -3*n**4 + 29*n**3 - 3*n**2 - 19*n + 16. Let v(a) = 5*j(a) + 3*o(a). Solve v(f) = 0.
-1, 1, 2
Let y(v) be the third derivative of -3*v**6/10 + 46*v**5/15 - 41*v**4/6 + 8*v**3/3 - 5*v**2 + 11*v. Let y(j) = 0. Calculate j.
1/9, 1, 4
Let p(o) be the third derivative of o**6/540 - o**5/20 - 5*o**4/18 + 35*o**3/6 - 14*o**2. Let y(u) be the first derivative of p(u). Factor y(w).
2*(w - 10)*(w + 1)/3
Let c be 2275/28 - 3/12. What is q in -3*q - 60*q**2 + 9*q - 3*q**4 + c*q**2 + 21*q**3 + 9*q**4 = 0?
-2, -1, -1/2, 0
Let f be (0 + 12/16*4)/1. Factor p**2 - 2*p**f + 1 + p**2 + 3*p**3 - 3 - p.
(p - 1)*(p + 1)*(p + 2)
Find q such that -94*q + 40*q**5 + 86*q - 24*q**2 + 28*q**3 + 30*q**3 + 114*q**4 = 0.
-2, -1, -1/4, 0, 2/5
Let m(b) be the first derivative of -b**6/240 + b**5/20 - b**4/4 - 32*b**3/3 - 25. Let a(c) be the third derivative of m(c). Find x, given that a(x) = 0.
2
Factor -4/7*p**2 + 4/7*p**3 + 0 + 4/7*p**4 - 4/7*p.
4*p*(p - 1)*(p + 1)**2/7
Let q(y) be the first derivative of 19 + 9*y**2 - 15*y - y**3 - 4 + 10 - 3. Factor q(j).
-3*(j - 5)*(j - 1)
Let j(k) be the first derivative of 5*k**6/6 - 7*k**5/5 - 13*k**4/4 + 31*k**3/3 - 10*k**2 + 4*k + 141. What is t in j(t) = 0?
-2, 2/5, 1
Let p(u) be the third derivative of 1/1176*u**8 + 0 + 0*u - 10*u**2 + 0*u**4 + 0*u**5 + 5/84*u**6 + 2/147*u**7 + 0*u**3. Factor p(l).
2*l**3*(l + 5)**2/7
What is l in 4900/3 + 1/3*l**2 + 140/3*l = 0?
-70
Let k(l) = 9*l**3 + 45*l**2. Let i(f) = 4*f**3 + 22*f**2. Let w(u) = -10*i(u) + 4*k(u). Factor w(z).
-4*z**2*(z + 10)
Let c(u) = 13*u - 414. Let n be c(32). Let q(w) be the second derivative of 9/2*w**n + w**3 + 2*w + 0 - 1/4*w**4. What is a in q(a) = 0?
-1, 3
Let m be 22/7 + (9 + 15)/12. Factor -m*t - 27/7 - 3/7*t**4 + 12/7*t**3 + 6/7*t**2.
-3*(t - 3)**2*(t + 1)**2/7
Let n = 2156 - 2156. Factor -3/8*t**3 + 3/2*t + n*t**2 + 0.
-3*t*(t - 2)*(t + 2)/8
Let o(q) = q**5 + q**3 + 1. Let w(c) = c**5 + 5*c**4 - 14*c**3 - 4. Let p(f) = -4*o(f) - w(f). Determine n so that p(n) = 0.
-2, 0, 1
Factor -6/7*y**4 + 0*y**3 + 0 + 18/7*y**2 + 12/7*y.
-6*y*(y - 2)*(y + 1)**2/7
Factor 785 + 114*y**3 - 5*y**4 + 1520*y + 720*y**2 + 255 - 14*y**3.
-5*(y - 26)*(y + 2)**3
Let a(d) = -2*d**4 - 19*d**3 - 61*d**2 - 53*d. Let i(r) = -r**3 - r**2 - r. Let h(n) = a(n) + 3*i(n). Solve h(w) = 0.
-7, -2, 0
Let k be 4/(-18)*-3*3. Solve -5 - 2*q - 12*q**k + 8 + 0*q - 7*q = 0 for q.
-1, 1/4
Let u be (2/26)/((-24)/(-156)). Let b(p) be the first derivative of -u*p + 1/16*p**4 - 1/8*p**2 + 1/6*p**3 - 3. Factor b(d).
(d - 1)*(d + 1)*(d + 2)/4
Let x = 54 + -37. Let t = -12 + x. Factor -4 - p**2 + t - 1 + 1.
-(p - 1)*(p + 1)
What is f in 7*f**5 - 3*f**5 + 65*f**3 - 115 - 29*f**2 - 53*f**2 + 12*f + 123 + 20*f**2 - 27*f**4 = 0?
-1/4, 1, 2
Suppose 4449 - 1779 = 15*d. Let w = d + -355/2. Let -x**3 - w*x**5 + 1/2 - 3/2*x**4 + x**2 + 3/2*x = 0. Calculate x.
-1, 1
Suppose -18*g - 72 = -16*g. Let a = 41 + g. Suppose 4*w**3 + 3*w**4 - 2*w**3 - a*w**3 = 0. Calculate w.
0, 1
Let k be (-11 - -11)/(0 + -2) - 21. Let c = 85/4 + k. Solve 0*d - c*d**5 - 1/2*d**4 - 1/4*d**3 + 0 + 0*d**2 = 0 for d.
-1, 0
Let z(v) be the first derivative of -v**5/150 + v**4/60 - 3*v**2 + 2. Let f(x) be the second derivative of z(x). Solve f(r) = 0 for r.
0, 1
Suppose -294*q - 20 = -298*q. Let h(b) be the second derivative of 3/100*b**q + 0 + 1/5*b**4 + 2/5*b**3 + 0*b**2 - 4*b. Let h(x) = 0. What is x?
-2, 0
Let k be (4 - 8)/((-4)/2). Suppose 5*b**3 - 20*b - 2*b**3 - 15*b**2 + k*b**3 = 0. Calculate b.
-1, 0, 4
Let w(g) be the second derivative of 2*g**3/3 + 14*g**2 + 8*g + 1. Let o be w(-7). What is j in -1/6*j**4 + o*j**2 + 0*j + 1/6*j**3 + 0 = 0?
0, 1
Suppose 0 = 2*z, -t + z - 20 = -6*t. Let d(o) be the second derivative of -2*o - 1/15*o**6 + 0*o**3 + 0*o**t + 0*o**2 + 0 - 1/10*o**5. Factor d(k).
-2*k**3*(k + 1)
Suppose 0 + 42/5*r**3 + 0*r + 76/5*r**2 + 2/5*r**4 = 0. Calculate r.
-19, -2, 0
Let d(a) = -a**4 - a**3 + a**2 + a. Let l(t) = 2*t**5 - 23*t**4 + 149*t**3 - 265*t**2 + 137*t. Let i(p) = 14