 j(o) be the first derivative of 5*o**3/3 + 45*o**2/2 - 350*o + 2139. Solve j(i) = 0 for i.
-14, 5
Let p be 1821/7 - (-9)/(-63). Find g, given that p*g - 135*g - 27 + g**2 - 131*g = 0.
-3, 9
Let t(s) be the third derivative of -1250/21*s**3 + 42*s**2 + 0*s - 1/105*s**5 + 25/21*s**4 + 0. Factor t(g).
-4*(g - 25)**2/7
Let d(l) = 2*l**2 + 24*l + 178. Let g be d(-9). Solve o**3 - g*o**2 + 3*o**3 + 9 + 39*o + 20*o**3 + 31*o**2 + 21*o = 0.
-1/8, 1, 3
Find s such that -49 + 272 + 1113*s - 3*s**2 + 71 + 303*s**2 + 21*s**3 = 0.
-7, -2/7
Let s = 256 - 2300/9. Let o = -2/45 + s. Find h, given that -2/5 + o*h**2 - 2/5*h**3 + 2/5*h = 0.
-1, 1
Let g(y) = y**3 - 9*y**2 - 10*y + 4. Let j be g(10). Find s such that -27*s**j + 28*s + 108 + 69*s + 0*s**5 + 9*s**3 + 219*s**2 + 3*s**5 + 191*s = 0.
-1, 6
Let h be (-69)/(-115)*(-30)/(-9). Determine t, given that -40/3*t - 14/3*t**3 + 2/3*t**4 + 16/3 + 12*t**h = 0.
1, 2
Let f(l) be the second derivative of l**4/78 + 49*l**3/13 - 148*l**2/13 + 816*l. Determine r, given that f(r) = 0.
-148, 1
Let t(s) be the second derivative of -s**5/20 + s**4/3 + 7*s**3/6 - 5*s**2 + 21*s - 15. Factor t(r).
-(r - 5)*(r - 1)*(r + 2)
Let o be 2/(-1)*33/(-561) - (-2752)/4352. Suppose 45*n + 27 + 15/2*n**3 + o*n**4 + 111/4*n**2 = 0. What is n?
-3, -2
Let n be 0/1 - (-1 + 59)*1. Let d = n + 62. Factor -7*v + 3*v - d*v**3 + 10*v**3 - 4*v**3 - 2*v**2.
2*v*(v - 2)*(v + 1)
Let l(r) be the third derivative of 20*r**2 - 3/10*r**4 + 0*r - 44/15*r**3 + 1/75*r**5 + 0. Determine m so that l(m) = 0.
-2, 11
Find o, given that -8*o**3 + o**4 + 14*o**4 - 11*o**4 + 0*o**4 = 0.
0, 2
Let j(z) be the first derivative of 2/39*z**3 - 93 + 8/13*z + 4/13*z**2. Factor j(w).
2*(w + 2)**2/13
Let a = 77 - 77. Suppose a = -16*c + 40 - 8. Find l, given that 14*l**3 - 2201 + 2201 - 4*l + 10*l**c = 0.
-1, 0, 2/7
Find j such that 162*j**3 + 3*j**5 - 5*j**2 - 47*j + 0*j**2 - 23*j**5 - 37*j**3 + 17*j + 20*j**4 = 0.
-2, -1/2, 0, 1/2, 3
Let s = -5465144/7 - -780735. Let s*b**2 + 0*b + 1/7*b**3 + 0 = 0. What is b?
-1, 0
Let j(h) be the first derivative of -5*h**3/3 - 155*h**2/2 + 330*h - 928. Solve j(a) = 0.
-33, 2
Let i(x) be the third derivative of -4489*x**5/80 + 201*x**4/4 - 18*x**3 + 1069*x**2. What is u in i(u) = 0?
12/67
Suppose 720/7 - 1/7*n**2 + 719/7*n = 0. Calculate n.
-1, 720
Let g(l) = -2*l**3 + 434*l**2 - 853*l + 430. Let p(s) = 3*s**3 - 435*s**2 + 849*s - 429. Let u(t) = 4*g(t) + 3*p(t). Factor u(q).
(q - 1)**2*(q + 433)
Let s(t) = 34*t**4 - t + t**2 + 0*t**2 - 33*t**4. Let i(z) = 2*z**4 - 4*z**3 - 3*z**2 - 7*z - 1. Let v(r) = -5*i(r) + 15*s(r). Factor v(u).
5*(u + 1)**4
Let a(p) be the second derivative of p**5/40 - p**4/6 - 29*p**3/12 - 6*p**2 + 15*p - 81. Let a(c) = 0. Calculate c.
-3, -1, 8
Let o(v) = 2*v**3 + 7*v**2 - 29*v + 20. Let t(x) = 12*x**3 + 41*x**2 - 173*x + 120. Let p(j) = 34*o(j) - 6*t(j). Factor p(b).
-4*(b - 2)*(b - 1)*(b + 5)
Let l be (-4)/(-16)*-4*-2. Factor -95*u**2 + 288 + 7*u**l - 10*u**4 + 14*u**4 - 8*u**4 - 240*u + 44*u**3.
-4*(u - 6)**2*(u - 1)*(u + 2)
Suppose 0 = 3*t - 2*l - 52, 3*t - 72 = -0*t - 3*l. Let 5*k**2 + 37 - k**2 - 2*k**2 - t*k - 13 + 24 = 0. Calculate k.
4, 6
Let b(y) be the first derivative of -34 + 1/3*y**3 + 0*y - 3/2*y**2. Determine d so that b(d) = 0.
0, 3
Let j(u) be the first derivative of -7*u**6/2 + 3*u**5 + 279*u**4/4 + 19*u**3 - 129*u**2 - 72*u - 1304. Solve j(i) = 0 for i.
-3, -1, -2/7, 1, 4
Let u(m) be the second derivative of -m**6/30 + 2*m**5/5 - m**4/4 - 16*m**3/3 + 14*m**2 - 8673*m. Determine h so that u(h) = 0.
-2, 1, 2, 7
Let h(z) be the third derivative of -z**5/12 + 10*z**4/3 + z**2 + 583. Factor h(q).
-5*q*(q - 16)
Let s = 2644343/19 + -139175. Suppose -12/19*d + 0 - s*d**5 - 2*d**2 + 54/19*d**4 + 14/19*d**3 = 0. What is d?
-2/3, -1/3, 0, 1, 3
Let z(p) be the first derivative of -p**7/294 + p**5/35 - p**4/42 - p**3/14 + p**2/7 + 103*p + 83. Let k(u) be the first derivative of z(u). Factor k(c).
-(c - 1)**3*(c + 1)*(c + 2)/7
Let c(g) be the first derivative of 49*g**5/5 + 77*g**4/4 + 32*g**3/3 + 2*g**2 + 1471. What is p in c(p) = 0?
-1, -2/7, 0
Let v be (-880)/(-3150) - 36/162. Let p(w) be the first derivative of 0*w**3 - v*w**5 + 0*w**2 + 16 + 0*w - 1/14*w**4. Find z such that p(z) = 0.
-1, 0
Let y = 504 - 307. Factor -203*n**2 + y*n**2 - 9*n**3 + n**5 + 2*n**5.
3*n**2*(n - 2)*(n + 1)**2
Let g(i) be the first derivative of 5/16*i**4 + 0*i**3 + 0*i**5 + 0*i - 1/24*i**6 - 143 - 1/2*i**2. Determine m so that g(m) = 0.
-2, -1, 0, 1, 2
Suppose 2*x = 2*q + 6, 51*x - 9 = -2*q + 48*x. Let z(j) be the second derivative of 25/48*j**4 + 5/6*j**3 + q + 1/2*j**2 + 15*j. Suppose z(l) = 0. Calculate l.
-2/5
Let v(q) = 732*q - 167. Let r be v(4). Let j = -30339/11 + r. Factor j - 16/11*m + 2/11*m**2.
2*(m - 4)**2/11
Solve -89/4*n + 1/4*n**2 + 105 = 0 for n.
5, 84
Let j(z) = 5*z**3 - 10*z**2 + 12*z - 21. Let b be j(2). Let q(s) be the first derivative of -4/3*s**b - 6*s**2 - 8*s - 2. Suppose q(p) = 0. Calculate p.
-2, -1
What is j in -7 - 4 - 24*j**2 - 18 + 54 + 92*j - 9 = 0?
-1/6, 4
Suppose 3*c - 6 = -0*c. Let a = -221 + 221. Factor -6 - 2*m**c + a*m**2 + 2*m - 6*m + 4*m**2.
2*(m - 3)*(m + 1)
Let p(g) be the first derivative of -2*g**3/27 - 20*g**2/9 - 38*g/9 - 1152. Factor p(m).
-2*(m + 1)*(m + 19)/9
Let m(c) be the second derivative of 7*c**4/6 + 130*c**3/57 - 3*c**2/19 + 3994*c. Factor m(q).
2*(q + 1)*(133*q - 3)/19
Let o(l) be the second derivative of l**5/30 + 11*l**4/90 - 4*l**3/45 - 4*l**2/5 + 107*l - 2. Let o(a) = 0. What is a?
-2, -6/5, 1
Factor -28*w + 0 - 225/2*w**2 - 2*w**3.
-w*(w + 56)*(4*w + 1)/2
Let d(a) = -a**3 - 16*a**2 + a + 17. Let n be d(-16). Find m such that -5*m + 2 - n + 5*m**2 + 3 - 4 = 0.
0, 1
Let t(v) be the second derivative of -v**6/120 - v**5/20 + v**4/24 + v**3/2 + 3*v**2/2 + 29*v - 1. Let r(h) be the first derivative of t(h). Factor r(u).
-(u - 1)*(u + 1)*(u + 3)
Let b(n) be the first derivative of -3/4*n - 9/32*n**4 + 34 - 21/16*n**2 - n**3. Suppose b(p) = 0. Calculate p.
-1, -2/3
What is z in 0 - 2*z**2 - 9/5*z - 1/5*z**3 = 0?
-9, -1, 0
Let c(n) be the third derivative of 0*n**3 + 0*n**4 + n**2 - 1/90*n**5 + 0*n - 57 - 1/540*n**6. Factor c(g).
-2*g**2*(g + 3)/9
Factor -8*r - 1/5*r**4 + 18/5*r**2 + 0 + 3/5*r**3.
-r*(r - 5)*(r - 2)*(r + 4)/5
Let f(p) be the second derivative of 11*p**4/12 - 13*p**3/6 - 12*p**2 - 2*p - 32. Let j(z) = 4*z**2 - 4*z - 8. Let u(i) = 3*f(i) - 8*j(i). Factor u(c).
(c - 8)*(c + 1)
Let d(x) = 9*x**3 + 3*x**2 - 5. Let u(w) = w**3 - w**2 - 1. Let n = 107 + -108. Let r(i) = n*d(i) + 5*u(i). Factor r(k).
-4*k**2*(k + 2)
Let v(y) = -7*y**2 - 1473*y + 6. Let r(d) = 50*d**2 + 10310*d - 45. Let z(o) = -2*r(o) - 15*v(o). Factor z(g).
5*g*(g + 295)
Factor s - s**3 - 1/4*s**4 + 3/4 - 1/2*s**2.
-(s - 1)*(s + 1)**2*(s + 3)/4
Suppose 2*o = 5*o - 6. Let n = -709695 + 709695. Factor 0*f + n - 1/4*f**o - 1/4*f**3.
-f**2*(f + 1)/4
Let k(a) be the second derivative of -a**7/56 + 67*a**6/40 - 435*a**5/8 + 4531*a**4/8 + 22747*a**3/8 + 36501*a**2/8 - 2119*a. Solve k(h) = 0.
-1, 23
Let a(l) be the second derivative of 1/4*l**4 + 9/5*l**5 + 0 - 1/2*l**6 - 6*l**3 + 6*l**2 + 122*l. Solve a(w) = 0 for w.
-1, 2/5, 1, 2
Let q(k) be the second derivative of -2*k**6/15 - 8*k**5/5 + 287*k**4/3 + 196*k**3 + 2*k - 567. Factor q(g).
-4*g*(g - 14)*(g + 1)*(g + 21)
Let t(r) be the second derivative of -1 - 31*r + 0*r**2 - r**4 + 1/14*r**7 + 10*r**3 - 1/5*r**6 - 9/4*r**5. Let t(h) = 0. Calculate h.
-2, 0, 1, 5
Let d(a) be the first derivative of 0*a - 27/4*a**2 + 3/4*a**3 + 3/16*a**4 - 88. Suppose d(b) = 0. What is b?
-6, 0, 3
Let t(q) be the third derivative of -65*q**8/504 + 367*q**7/315 - 59*q**6/50 + 26*q**5/225 + 2*q**4/9 - 4*q**2 + 4*q + 87. Determine h, given that t(h) = 0.
-2/13, 0, 2/5, 5
Factor 14/3*c + 520/9 - 1/9*c**2.
-(c - 52)*(c + 10)/9
Let l(c) be the third derivative of -c**5/12 - 65*c**4/24 + 25*c**3 + 277*c**2 + 3*c + 2. Let l(m) = 0. What is m?
-15, 2
Let j(c) be the second derivative of c**5/70 - 2*c**4/7 - 115*c**3/21 + 18*c**2 - 9*c + 79. Determine x so that j(x) = 0.
-7, 1, 18
Let c(g) be the third derivative of g**8/112 - g**7/70 - 3*g**6/40 + g**5/20 + g**4/4 + 103*g**2 + 6. Suppose c(p) = 0. Calculate p.
-1, 0, 1, 2
Let z = 626 - 626. Let r = -72/11 - -238/33. Facto