 r = -15 + l. Factor 0*k**5 - 38*k**4 + k**3 - 3*k**5 + 40*k**r.
-k**3*(k - 1)*(3*k + 1)
Suppose l - 48 + 44 = 0. Suppose -4*v = -9*v + 2*z + 14, 0 = -l*v + 3*z + 7. Suppose 0*b + 7/3*b**2 - 4/3 - b**v - 1/3*b**5 + 1/3*b**3 = 0. Calculate b.
-2, -1, 1
Let j(o) be the first derivative of o**4/102 + o**3/51 - 14*o - 14. Let y(s) be the first derivative of j(s). Let y(l) = 0. What is l?
-1, 0
Let b(z) be the second derivative of -z**4/36 - 3*z**3/2 + 29*z**2/3 - z - 43. Let b(c) = 0. Calculate c.
-29, 2
Let l = -1/1430 - -2869/12870. Determine h so that 0*h**2 + 2/3*h - 4/9 - l*h**3 = 0.
-2, 1
Suppose -b + 3*i = 12, 3*b - 22 = -2*i - 3. Let r(q) be the first derivative of 2/15*q**b + 9 - 8/5*q + 0*q**2. Factor r(z).
2*(z - 2)*(z + 2)/5
Determine s, given that 128 - 41*s**2 + 31*s**2 + 2*s**3 + 160*s + 44*s**2 = 0.
-8, -1
Let k(c) = -c**3 - 5*c**2 - 45*c - 210. Let b be k(-5). Let -3 + 7/2*u**3 + 29/2*u - b*u**2 = 0. Calculate u.
2/7, 1, 3
Let u(f) be the first derivative of f**7/98 - 9*f**5/140 - f**4/14 + 22*f + 30. Let n(r) be the first derivative of u(r). Factor n(w).
3*w**2*(w - 2)*(w + 1)**2/7
Let t(p) be the second derivative of -1/30*p**6 + 2/3*p**2 - 2/3*p**3 - 1/60*p**5 + 1/126*p**7 + 11/36*p**4 + 0 - 28*p. Factor t(c).
(c - 2)*(c - 1)**3*(c + 2)/3
Let w = 61 + -56. Let c be (w + 52/(-12))*(-1)/(-3). Factor 0 + 0*d**2 + 0*d**3 - 2/9*d**4 + 0*d - c*d**5.
-2*d**4*(d + 1)/9
Suppose -3*l = -9 - 30. Factor 11 - k + 3*k + 1 + 3*k**2 + l*k.
3*(k + 1)*(k + 4)
Let s(p) be the third derivative of -p**8/672 - p**7/105 + 11*p**6/240 - p**5/20 + 4*p**2 + 6. What is r in s(r) = 0?
-6, 0, 1
Let s(n) be the second derivative of n**5/80 + n**4/8 + n**3/3 + 15*n. Factor s(u).
u*(u + 2)*(u + 4)/4
Let -51 - 7*j + 15*j**4 + 3 + 144*j**3 + 5*j + 195*j**2 + 20*j = 0. What is j?
-8, -1, 2/5
Let p(c) be the third derivative of 1/3024*c**8 - 1/540*c**6 + 1/945*c**7 - 3*c**2 + 0*c - 7/216*c**4 - 1/27*c**3 + 0 - 2/135*c**5. Factor p(y).
(y - 2)*(y + 1)**4/9
Let k be (18/(-10))/(5580/(-30225)). Determine x, given that k*x**3 + 12 - 27*x - 57*x**2 + 45/2*x**4 - 21/4*x**5 = 0.
-1, 2/7, 2, 4
Let h(j) be the third derivative of -j**7/1155 - j**6/220 + j**5/165 + j**4/11 + 8*j**3/33 + 31*j**2 + 2*j. Suppose h(w) = 0. Calculate w.
-2, -1, 2
Let l be 10/(-45)*-9 - -2. Let s(c) be the third derivative of 0*c**3 - 1/180*c**6 + 0*c - 1/18*c**l + 3*c**2 - 1/30*c**5 + 0. Determine w, given that s(w) = 0.
-2, -1, 0
Let j(b) be the first derivative of -b**6/6 + 3*b**5/2 + 7*b + 30. Let l(x) be the first derivative of j(x). Determine c so that l(c) = 0.
0, 6
Let i be ((-307)/(-921))/((-4)/(-3)*1). Let m be 3/3 - 6/8. Factor 1/2*w - m*w**2 - i*w**3 + 0.
-w*(w - 1)*(w + 2)/4
Let v = -16 + 19. Factor 3 - z**2 - 4*z + 2*z - 1 - v.
-(z + 1)**2
Let a(l) be the third derivative of 2*l**7/105 + l**6/6 + 7*l**5/15 + l**4/2 + 5*l**2 - 4*l. Determine p so that a(p) = 0.
-3, -1, 0
Let o(c) be the first derivative of -c**3/6 - 15*c**2/8 - 7*c/4 - 54. Determine a, given that o(a) = 0.
-7, -1/2
Suppose 0 = -3*d - 15. Let w be 40/(-24)*6/d. Find g such that 8*g + w - 4*g**2 - 2 + 0*g = 0.
0, 2
Let f be (24/10)/((-18)/(-16)). Let r(i) be the first derivative of -6/5*i**3 + 11/5*i**4 + 1/5*i**2 + 5 + 0*i**5 - f*i**6 + 0*i. Suppose r(m) = 0. Calculate m.
-1, 0, 1/4, 1/2
Suppose -4 = 2*u - 8. Let q be 2 + -1*(0/(-1))/u. Factor 0*b - 1/2*b**2 + q.
-(b - 2)*(b + 2)/2
Let h(g) be the second derivative of 5*g**7/63 + 16*g**6/45 - g**5/15 - 8*g**4/9 - g**3/3 - 2*g + 14. Suppose h(j) = 0. What is j?
-3, -1, -1/5, 0, 1
Let w(m) be the second derivative of 3*m**7/14 - 29*m**6/30 + 33*m**5/20 - 5*m**4/4 + m**3/3 - 5*m - 4. What is u in w(u) = 0?
0, 2/9, 1
Let z(s) be the third derivative of -s**6/60 - s**5/15 - 10*s**2. Factor z(c).
-2*c**2*(c + 2)
Let l be 3*(-28)/14 - 33/(-5). Let -6/5*i + 0 + 6/5*i**3 - l*i**2 + 3/5*i**4 = 0. Calculate i.
-2, -1, 0, 1
Factor -1/3*b**2 - 4/3*b + 7.
-(b - 3)*(b + 7)/3
Let t(z) be the first derivative of -z**4/8 - z**3/3 + z**2 + 4*z - 72. Factor t(q).
-(q - 2)*(q + 2)**2/2
Let y(r) be the third derivative of r**6/40 + r**5/2 + 25*r**4/8 - 336*r**2. Factor y(a).
3*a*(a + 5)**2
Let x = -9 - -14. Suppose 0*b + 3*m - 11 = 2*b, -20 = -x*b - 2*m. Solve 2/7 + 12/7*v**b + 2/7*v**4 - 8/7*v**3 - 8/7*v = 0.
1
Let x(j) be the first derivative of 3*j**4/4 - 20*j**3 - 80. Find z, given that x(z) = 0.
0, 20
Find m such that 4/3*m - 10/9*m**2 - 2/9*m**3 + 0 = 0.
-6, 0, 1
Factor -522*l**3 - 533*l**3 - 36 - 528*l**3 + 76*l**2 + 6*l + 26*l + 1591*l**3.
4*(l + 1)*(l + 9)*(2*l - 1)
Let j(n) be the second derivative of -n**5/100 + 259*n**4/60 - 1664*n**3/3 - 1690*n**2 + 802*n. Find b, given that j(b) = 0.
-1, 130
Let h(f) be the third derivative of -f**7/315 + f**6/60 - f**5/45 - 4*f**2 - 43. Factor h(x).
-2*x**2*(x - 2)*(x - 1)/3
Let k = -403112/19 - -21218. Factor -k*w**2 - 98/19 - 126/19*w - 2/19*w**3.
-2*(w + 1)*(w + 7)**2/19
Let k = 1519/45 - 266/9. Factor 6/5*q - 3*q**2 + 0 - k*q**3.
-3*q*(q + 1)*(7*q - 2)/5
Let g = 113/1430 - -3/143. Let i(v) be the second derivative of 6*v + 0 - 3/10*v**5 + v**3 + 0*v**4 - g*v**6 + 3/2*v**2. Suppose i(j) = 0. What is j?
-1, 1
Let u(n) be the third derivative of n**4/12 - 8*n**3/3 - 24*n**2. Let p be u(9). Factor 1 - 1/2*r**3 + 0*r**p + 3/2*r.
-(r - 2)*(r + 1)**2/2
Let d(l) be the second derivative of 1/8*l**3 + 1/48*l**4 - 1/4*l**2 + 23*l + 0 - 3/80*l**5 + 1/120*l**6. Factor d(u).
(u - 2)*(u - 1)**2*(u + 1)/4
Let v = 14 - 13. Let n(b) = 18*b + 1. Let t be n(v). Factor 20 + c + 2*c**3 + c - 4*c - t - c**2.
(c - 1)*(c + 1)*(2*c - 1)
Let d(h) = 16*h**3 - 23*h**2 + 28*h - 29. Let i(g) = 9*g**3 - 12*g**2 + 13*g - 14. Let c(b) = -4*d(b) + 7*i(b). What is o in c(o) = 0?
2, 3
Suppose -r + 5*r = 36. Let n(m) = -m**3 + 9*m**2 + 2*m - 14. Let x be n(r). Suppose 13 - 13 - 2*g**2 - 2*g**x - 4*g**3 = 0. What is g?
-1, 0
Suppose 8*s = -5*y + 5*s + 9, 2*y - 2*s + 6 = 0. Let g be 11/198 - (-195)/1350. Suppose 1/5*r**2 + y + g*r = 0. What is r?
-1, 0
Let w(o) be the second derivative of 0 - 2/3*o**2 - 33*o + 1/18*o**4 - 1/9*o**3. Factor w(d).
2*(d - 2)*(d + 1)/3
Let z(k) be the second derivative of k**6/20 + 9*k**5/40 + 3*k**4/8 + k**3/4 + 8*k. Find v such that z(v) = 0.
-1, 0
Factor -12*c - 37/3 + 1/3*c**2.
(c - 37)*(c + 1)/3
Let v = 6663/10 + -666. Let q(o) be the second derivative of -v*o**5 + o - 2*o**3 + 0 - 13/12*o**4 - 2*o**2 - 1/30*o**6. Factor q(g).
-(g + 1)**2*(g + 2)**2
Suppose -27/4 - 7*k - 1/4*k**2 = 0. What is k?
-27, -1
Let t(h) be the first derivative of h**5/12 - 5*h**4/3 + 40*h**3/3 + 6*h**2 + 3. Let a(n) be the second derivative of t(n). Factor a(d).
5*(d - 4)**2
Factor -58*z - 1/9*z**2 - 7569.
-(z + 261)**2/9
Let o = -30056/19 - -1582. Let o*c**5 + 0*c + 4/19*c**4 + 0 - 4/19*c**2 - 2/19*c**3 = 0. Calculate c.
-2, -1, 0, 1
Determine b so that 0 - 10/9*b**2 - 2/3*b**4 + 0*b - 2/9*b**5 + 2*b**3 = 0.
-5, 0, 1
Let w(c) be the first derivative of -7 + 0*c**2 - 1/6*c**3 + 1/2*c. Factor w(p).
-(p - 1)*(p + 1)/2
Let z(k) be the second derivative of -29*k + 2/5*k**5 - k**4 + 0 + 2/15*k**6 - 8/3*k**3 + 8*k**2. Suppose z(g) = 0. Calculate g.
-2, 1
Let n(g) = -g**3 - 6*g**2 + 6*g. Suppose -5*q = -20 + 55. Let k be n(q). Find l, given that -6*l**3 + 10*l**5 + 3*l - k*l**5 - 3*l**4 + 6*l**2 - 3 + 0*l**2 = 0.
-1, 1
Let t = 352/75 + -84/25. Find v such that 2/3*v**2 - 2*v + t = 0.
1, 2
Let b(z) be the first derivative of -2*z**5/35 - 5*z**4/14 - 16*z**3/21 - 4*z**2/7 + 104. Factor b(c).
-2*c*(c + 1)*(c + 2)**2/7
Let f be 4*2/16*-8. Let j(g) = -g**4 + g**3 - g - 1. Let c(y) = -8*y**4 + 8*y**2 - 4*y - 4. Let i(q) = f*j(q) + c(q). Suppose i(m) = 0. What is m?
-2, 0, 1
Let t(l) be the first derivative of 25*l**3/18 - 45*l**2 + 486*l + 508. Suppose t(q) = 0. What is q?
54/5
Let m(y) be the first derivative of 4*y**3/3 + 20*y**2 - 300*y + 85. Solve m(w) = 0 for w.
-15, 5
Let h be ((2 + -4)/(4/64))/(-2). Let o = 81/5 - h. Factor -o*u**2 - 3/5*u**4 - 3/5*u**3 - 1/5*u**5 + 0*u + 0.
-u**2*(u + 1)**3/5
Solve 0*q**4 + 1/3*q**5 + q - 4/3*q**3 + 2/3*q**2 - 2/3 = 0.
-2, -1, 1
Suppose -4*m + 8 = -2*v, -4*m - 6 = -7*m. Let l be (-804)/(-54) - (-4)/(-6). Factor -32/9*q**4 + 8*q**3 - 22/9*q**2 + 2/9*q - l*q**5 + v.
-2*q*(q + 1)*(4*q - 1)**3/9
Let g = 149 + -9092/61. Let m = g - -265/