Find w such that s(w) = 0.
1, 7
Suppose 32 = 4*k + 4*d, 2*d + 312 = 5*k + 328. Solve 0*x**3 + 5/8*x**2 - 1/8*x**4 + k*x - 1/2 = 0 for x.
-2, -1, 1, 2
What is s in 81/2 + 9*s - 3/2*s**2 = 0?
-3, 9
Suppose 0 = -2*d + 8 + 2. Suppose -4*g + 11 = -0*g + d*a, -6 = -2*g - 2*a. Solve -12*j**2 - 154 - 4*j + 84*j**g + 47*j**3 + 154 - 196*j**5 = 0 for j.
-2/7, 0, 1/2
Let f(o) = -5*o**2 - o + 1. Let r be f(-2). Let c(t) = -t**2 - 19*t - 28. Let w be c(r). Determine z so that 7*z**3 - 3*z**4 + w*z**4 + 8*z**3 + 2*z**4 = 0.
-3, 0
Let m(z) be the third derivative of -z**7/42 + 13*z**6/12 + 49*z**5/4 + 305*z**4/6 + 310*z**3/3 + 5*z**2 - 64. Find g, given that m(g) = 0.
-2, -1, 31
Let a(m) be the second derivative of 0*m**2 - 1/21*m**3 - 1/7*m**4 + 26/105*m**6 - 48*m + 8/49*m**7 + 0 - 3/70*m**5. Determine h, given that a(h) = 0.
-1, -1/3, -1/4, 0, 1/2
What is h in 40/9*h**4 - 56/9 + 16/9*h**2 + 4/9*h**5 - 92/9*h + 88/9*h**3 = 0?
-7, -2, -1, 1
Factor 0 + 241/4*k - 1/4*k**2.
-k*(k - 241)/4
Let u(c) = -119*c - 144. Let b be u(-4). Let x = b - 6968/21. Solve -x*s**3 + 0 + 10/21*s**2 - 2/7*s = 0 for s.
0, 1, 3/2
Let r(q) be the third derivative of -q**8/560 - 3*q**7/70 - q**6/8 + 27*q**5/20 + 13*q**4/20 - 12*q**3 + 6968*q**2. Let r(j) = 0. What is j?
-12, -5, -1, 1, 2
Let o be (9/((-63)/(-8)))/(3000/84 + -34). Find h such that -2/3*h + 2/3*h**2 - 2/3 + o*h**3 = 0.
-1, 1
Suppose 2*v = 578*r - 576*r - 10, 0 = -7*v - 5*r + 61. Solve -4/7*i**2 + 0*i + 0*i**v + 4/7*i**4 + 0 = 0.
-1, 0, 1
Let j be 6569/(-18) - (22/(-12) - -2). Let m = j + 366. Suppose 8/3*k**3 + 28/9*k**4 + 0 - 16/9*k**5 - 28/9*k**2 - m*k = 0. What is k?
-1, -1/4, 0, 1, 2
Let p(k) be the third derivative of k**5/570 - 68*k**4/57 + 271*k**3/57 + 292*k**2 - 4*k. Factor p(z).
2*(z - 271)*(z - 1)/19
Factor 16*c**3 - 55 + 20 + 560*c**2 + 361*c - 1581*c - 41*c**3 + 435.
-5*(c - 20)*(c - 2)*(5*c - 2)
Let u(m) = -3*m**3 - m**2 + 2. Let p be u(-1). Factor -25*l**2 - 5*l**p - 27*l**3 + 7*l**3 - 5*l - 5*l.
-5*l*(l + 1)**2*(l + 2)
Let l be (23248/696 + -11 - 4/116*2)*1. Determine h, given that 4*h**2 - 5/3*h**5 - l*h**3 + 0 + 12*h**4 + 0*h = 0.
0, 1/5, 3, 4
Let h(r) be the second derivative of 13/4*r**2 - 5*r + 0 - 1/40*r**5 - 9/4*r**3 + 5/8*r**4. Factor h(m).
-(m - 13)*(m - 1)**2/2
Let l(t) be the first derivative of 15/2*t**2 - 33/2*t + 1/2*t**3 + 31. Factor l(k).
3*(k - 1)*(k + 11)/2
Let d(p) = -p**3 - 2*p**2 - 2*p - 1. Let o be d(-2). Let j(k) = -k**3. Let w be j(0). Factor 200*s + w*s**3 + 3*s**o - 200*s.
3*s**3
Let q(x) = 19*x - 285. Let u be q(15). Let s(m) be the second derivative of 9*m + u - 1/70*m**6 + 0*m**4 + 0*m**2 + 0*m**3 + 3/140*m**5. Factor s(a).
-3*a**3*(a - 1)/7
Suppose 5*d - 9 = 11. Factor 3*p**3 - 3*p**2 - d*p + p**2 + p - 2*p**3.
p*(p - 3)*(p + 1)
Let v = 12 - 10. Factor 29*p**2 + 10*p - 9*p**2 - 9*p**v + p**3 - 18*p**2.
p*(p - 5)*(p - 2)
Let p(c) be the first derivative of -c**7/1470 + 5*c**6/504 - c**5/20 + 3*c**4/56 - 13*c**3 - c - 41. Let z(b) be the third derivative of p(b). Factor z(q).
-(q - 3)**2*(4*q - 1)/7
Suppose n = 4*s + 163, 3*n - 8 - 201 = 5*s. Let b be 1/(-1*4/s). Suppose -250/3 - b*x**2 - 2/3*x**3 - 50*x = 0. What is x?
-5
Let w = 5778 - 3254. Let 210*g + 1839*g**2 - 319 + w - 1834*g**2 = 0. What is g?
-21
Let z(r) be the third derivative of r**8/2688 + r**7/336 - r**6/192 - 3*r**5/32 - 3*r**4/16 - 1090*r**2 - r + 2. Find a such that z(a) = 0.
-4, -3, -1, 0, 3
Let r be ((-3)/(-6))/(7/322). What is b in -15*b**2 - 5*b + 0*b - 13*b**2 + r*b**2 + 10 = 0?
-2, 1
Suppose -2*z = 5*z + 5*z. Suppose -9 + 4*b + 23*b**2 + 3 + z*b - 21*b**2 = 0. Calculate b.
-3, 1
Solve -10/9*u**3 + 178/3*u - 184/9*u**2 - 28 = 0 for u.
-21, 3/5, 2
Let t(c) = -c**3 - 3*c**2 + 1. Let v(k) = k**4 - 12*k**3 + 135*k - 3. Let n(w) = -3*t(w) - v(w). Factor n(d).
-d*(d - 15)*(d - 3)*(d + 3)
Let h be ((-328)/(-1))/(-7 - 207/(-27)). Suppose 5*i = -5*v + 2*v + 1188, 2*i = 3*v + h. Factor -5*y - 240*y**2 + 5*y**3 + i*y**2.
5*y*(y - 1)*(y + 1)
Suppose -1/8*l**2 - 681/8*l - 85 = 0. Calculate l.
-680, -1
Let y(c) be the third derivative of -5/24*c**4 + 0*c - 1/120*c**6 + 1/3*c**3 + 1/15*c**5 - 131*c**2 + 0. Determine b so that y(b) = 0.
1, 2
Suppose 5*y - 4 = 4*a, 0 = 2*y - 3 - 5. Factor -103*s**2 + 44*s**3 - a + 47*s**2 - 16*s**4 - 4 + 34*s + 2*s**5.
2*(s - 4)*(s - 1)**4
Let w(n) be the second derivative of -n**5/5 + n**4/2 + n. Let k = -17882 + 17885. Let j(r) = -11*r**3 + 17*r**2. Let i(d) = k*j(d) - 8*w(d). Factor i(s).
-s**2*(s - 3)
Let a be 44*(66/8 + (-10 - -2)). Let y(l) be the first derivative of 2*l**3 - 9*l**4 + 0*l - 25/4*l**6 + 0*l**2 + a + 27/2*l**5. Suppose y(i) = 0. What is i?
0, 2/5, 1
Factor 0 + 65/3*a**4 + 0*a + 0*a**2 + 4225/6*a**3 + 1/6*a**5.
a**3*(a + 65)**2/6
Suppose -477 = -24*n - 96*n - 22*n - 51. What is c in -2/5*c - 48/5*c**4 + 0 + 3/5*c**2 + 16/5*c**5 + 31/5*c**n = 0?
-1/4, 0, 1/4, 1, 2
Let y(d) be the third derivative of -17*d**2 + 2/75*d**5 + 0 + 0*d**3 + 0*d + 0*d**4 - 1/150*d**6. Factor y(u).
-4*u**2*(u - 2)/5
Let p be 1 + 4 + -13 + 12. Find q, given that 0*q**5 - 285 + 381 - 80*q + 84*q**3 - 88*q**2 - p*q**5 - 8*q**4 = 0.
-6, -1, 1, 2
Let f(q) = 987*q + 13821. Let d be f(-14). Let g(t) be the first derivative of 4/13*t**2 - 2/39*t**d - 22 + 10/13*t. Find u such that g(u) = 0.
-1, 5
Let x = -1872871/2 + 936437. What is w in 1/2*w**2 - x + w = 0?
-3, 1
Solve -98324*q**2 - 588 - 16*q**5 + 62*q**4 + 198*q**4 + 99516*q**2 + 2128*q - 1248*q**3 = 0 for q.
-1, 1/4, 3, 7
Let g = -3766 - -3774. Let r(u) be the first derivative of -2/11*u**2 + 0*u - 21/22*u**4 + 34/55*u**5 + 2/3*u**3 + g - 5/33*u**6. Solve r(b) = 0 for b.
0, 2/5, 1
Let d = 48 + -28. Let r(n) = -6 + 20 + 12 + 4*n**2 + 6 - d*n. Let s(p) = -p. Let i(x) = -r(x) - 4*s(x). Solve i(q) = 0.
2, 4
Let b be (4/16)/((-8)/(-192)). Let q be (-9)/b*(-6)/63. Factor 0*a + 0 + 0*a**3 + q*a**2 - 1/7*a**4.
-a**2*(a - 1)*(a + 1)/7
Let r(l) be the first derivative of 7 - 1/4*l**4 - 16*l - 54*l**2 + 6*l**3. Let j(k) be the first derivative of r(k). Factor j(s).
-3*(s - 6)**2
Let f(k) be the second derivative of -k**6/180 + k**5/12 - 7*k**4/18 + k**3/6 + 15*k**2/4 - 104*k - 4. Factor f(b).
-(b - 5)*(b - 3)**2*(b + 1)/6
Let a(d) be the second derivative of -d**5/14 + 121*d**4/21 - 992*d**3/7 + 1152*d**2/7 + 343*d. Factor a(b).
-2*(b - 24)**2*(5*b - 2)/7
Let a(i) be the third derivative of -i**7/210 - 29*i**6/12 - 4205*i**5/12 + 151*i**2 + 5*i. Find b such that a(b) = 0.
-145, 0
Let i(j) be the first derivative of -j**6/240 - j**5/20 + 7*j**4/48 - 42*j**2 + 94. Let m(c) be the second derivative of i(c). Factor m(o).
-o*(o - 1)*(o + 7)/2
Let r be (30/8)/(21/(-252)). Let n = r + 42. Let q(p) = -10*p**2 - 7*p + 10. Let v(y) = -5*y**2 - 3*y + 5. Let l(a) = n*q(a) + 7*v(a). Factor l(s).
-5*(s - 1)*(s + 1)
Let n(q) be the first derivative of 112 - q**4 + 0*q - 3/4*q**2 + 11/6*q**3. Factor n(v).
-v*(v - 1)*(8*v - 3)/2
Suppose -5*y + 0*y = 24 + 11, 0 = m - 6*y - 170. Factor -2048/3 + 1/6*w**3 + m*w - 8*w**2.
(w - 16)**3/6
Let t(z) be the second derivative of 16/3*z**3 - 13/30*z**5 + 1/5*z**6 - 20/3*z**2 + 1/63*z**7 - 25/18*z**4 - 18*z - 2. Suppose t(u) = 0. Calculate u.
-10, -2, 1
Suppose 3*k - 3*a - 12 = 0, -4*k - 8*a = -10*a - 20. Factor -30*f + 3*f**3 + 3*f**2 + 432 - 27*f**2 - k*f + 6*f - 6*f.
3*(f - 6)**2*(f + 4)
What is f in -46432*f**3 + 6460*f**4 - 200*f**5 - 7495 - 91768*f**2 - 1280 - 54264*f - 1629 = 0?
-3/5, -1/2, 17
Let i(t) be the first derivative of -t**4/4 - 14*t**3/3 + 42*t**2 + 216*t + 3193. Factor i(j).
-(j - 6)*(j + 2)*(j + 18)
Let b(g) be the first derivative of -5*g**4/8 + 5*g**3/6 + 35*g**2/2 - 60*g + 1783. Factor b(c).
-5*(c - 3)*(c - 2)*(c + 4)/2
Let x be (-10)/(-12) + 5/(-15). Let z be (2/(-3))/(154/(-231))*2. Factor -1/2*s**4 + x*s**3 + 0 + 0*s + 0*s**z.
-s**3*(s - 1)/2
Let m be 51/((-121635)/2438)*(-9)/1. Solve m*h + 4 - 2*h**2 = 0 for h.
-2/5, 5
Let o = -6950 + 6954. Let w(a) be the third derivative of 0 + 1/12*a**o + 0*a - 5/12*a**3 + 11*a**2 + 1/120*a**5. Solve w(j) = 0 for j.
-5, 1
Let g(i) be the third derivative of -1/24*i**4 + 0*i + 3*i**2 - 1/120*i**5 - 1/12*i**3 + 38. What is q in g(q) = 0?
-1
Let u(k) = k**3 - 5*k**2 - 34*k + 82. Let b be -40*(-117)/572 - 2/11. Let x be u(b). Let -3/2 - 7/4*i**3 - 1/4*i**4 - 17/4*i**x - 17