t 0*g + 0 - 2/9*g**3 + c*g**2 = 0.
0, 1
Suppose 9*l + 10*l = b + 28*l - 63, -3*l = -21. Let r be (0 + 5)/(-1 - -3). Factor b + r*w**3 + 0*w - w**2.
w**2*(5*w - 2)/2
Let o(f) be the third derivative of 0 + 4*f**2 - 4*f + 0*f**3 - 1/18*f**4 + 1/720*f**6 + 1/180*f**5. Determine p so that o(p) = 0.
-4, 0, 2
Let w(c) = -c**3 - 9*c**2 - 17*c - 9. Let k(r) = r**3 - 1. Let f be k(0). Let p(s) = s**3 + s**2. Let d(n) = f*w(n) - 2*p(n). Factor d(y).
-(y - 9)*(y + 1)**2
Let s(z) be the first derivative of z**3/3 - 45*z**2/2 + 506*z - 2009. Find v such that s(v) = 0.
22, 23
Let j(y) be the second derivative of -y**6/70 + 9*y**5/140 + 22*y**4/7 + 114*y**3/7 + 216*y**2/7 - 4924*y. Find m such that j(m) = 0.
-6, -2, -1, 12
Let q(t) be the second derivative of 3*t**6/80 + 3*t**5/40 - 53*t**4/96 - t**3/6 + 3*t**2 + 7*t + 110. Solve q(n) = 0.
-3, -1, 4/3
Let b(n) be the third derivative of n**5/3 + 71*n**4/24 + n**3/6 + 5*n**2 + 2. Let p(z) = -20*z**2 - 68*z. Let y(j) = 3*b(j) + 4*p(j). Factor y(v).
-(v + 3)*(20*v - 1)
Suppose 20*b**2 + 55/3*b + 5/3*b**3 + 0 = 0. Calculate b.
-11, -1, 0
Suppose -17 = -5*m - 2. Factor -36*g**4 - 36 - 88*g**3 + m*g**2 + 4*g**5 + 80 - 11*g**2 + 84*g.
4*(g - 11)*(g - 1)*(g + 1)**3
Factor 57*s - 341/6 - 1/6*s**2.
-(s - 341)*(s - 1)/6
Let t = -783548/497 + 13428/71. Let g = -1387 - t. Suppose 1/7*h**5 + 0*h**4 + g*h + 2/7*h**2 - 4/7*h**3 - 2/7 = 0. What is h?
-2, -1, 1
Let n(w) be the second derivative of 1/15*w**6 + 0 + 127*w - 11*w**2 - 5*w**4 - 32/3*w**3 - 4/5*w**5. Find r, given that n(r) = 0.
-1, 11
Let b be (-242 - -186) + 57 + 1. Factor -15/7 + 33/7*c - 9/7*c**3 + 39/7*c**b.
-3*(c - 5)*(c + 1)*(3*c - 1)/7
Let z(c) = -c**3 - 9*c**2 + 9*c - 2. Let x = 13 + -23. Let d be z(x). Factor -2*u**3 + 10*u**2 + 5*u**3 - d*u**3 + 0*u**2.
-5*u**2*(u - 2)
Suppose 1 = -5*y - 4*q, -16 = -2*y + 2*q - 2. Let d = 27/118 - -5/236. Factor -3/4*i**2 + 1 - d*i**y + 0*i.
-(i - 1)*(i + 2)**2/4
Let d(c) be the third derivative of -c**5/15 - 8*c**4 - 384*c**3 + 1416*c**2 - 2. Solve d(j) = 0 for j.
-24
What is x in 0 + 39/5*x**2 + 12/5*x**3 + 1/5*x**4 + 28/5*x = 0?
-7, -4, -1, 0
Let m = -140031 - -1400319/10. Let 0 + 1/10*l**3 - 3/5*l**2 + m*l = 0. Calculate l.
0, 3
Let f = -32734 + 32734. Let z(p) be the third derivative of 1/60*p**6 - 35*p**2 + 0 + 2*p**3 + 2/15*p**5 + f*p - 11/12*p**4. Determine a so that z(a) = 0.
-6, 1
Suppose -22*v - 8778 = -8668. Let c(k) = -8*k**2 + 8*k + 16. Let p(g) = 16 - 7*g**2 + 6 + 7*g - 8. Let i(b) = v*p(b) + 4*c(b). Determine q, given that i(q) = 0.
-1, 2
Let b(p) = 7*p + 260. Let i be b(-18). Determine q so that -33*q + i*q - q**2 - 83*q = 0.
0, 18
Let t(y) be the second derivative of y**4/6 + 110*y**3/3 + 1695*y. Find b such that t(b) = 0.
-110, 0
Let j(n) be the first derivative of n**5/5 - 2721*n**4/4 + 823554*n**3 - 375532470*n**2 + 2231032248*n - 4937. Factor j(z).
(z - 906)**3*(z - 3)
Let a be (-5)/(-70) + (-19019)/(-19110). Factor -2/15*u**4 + 0*u**3 - 32/15 + 0*u + a*u**2.
-2*(u - 2)**2*(u + 2)**2/15
Let o(p) be the second derivative of -3*p**5/80 + 137*p**4/16 - 522*p**3 - 13608*p**2 + 105*p + 18. Find u such that o(u) = 0.
-7, 72
Suppose 4864*t - 7664/5*t**2 + 316/5*t**4 - 6064/5*t**3 - 4/5*t**5 + 5120 = 0. Calculate t.
-2, -1, 2, 40
Suppose 0 = 3*s - 268 + 247. Find t such that -4*t**3 - 15*t - 13*t**2 + t**3 - 12*t**2 + s*t**2 = 0.
-5, -1, 0
Suppose 7*t + 5*t - 25 = 4*t + 7. Solve -5*i**3 + 0 - 1/2*i + 9/4*i**t + 13/4*i**2 = 0.
0, 2/9, 1
Let j(o) be the second derivative of -o**5/480 - 29*o**4/96 - 841*o**3/48 + 13*o**2 + 87*o - 1. Let m(b) be the first derivative of j(b). Factor m(u).
-(u + 29)**2/8
Let m(b) be the first derivative of -60 + 15/4*b**2 - 5/12*b**3 + 0*b. Find c, given that m(c) = 0.
0, 6
Let t(s) = -5*s**2 - 2314*s - 273778. Let v(q) = -5*q**2 - 2301*q - 273777. Let h(w) = -3*t(w) + 2*v(w). Find i such that h(i) = 0.
-234
Let s(b) = -5*b**3 + b. Let f(m) = m**4 + 367*m**3 - 728*m**2 - m. Let g(v) = -f(v) - s(v). Suppose g(z) = 0. Calculate z.
-364, 0, 2
Let y(c) be the second derivative of 5*c**7/42 + 97*c**6/3 - 98*c**5 + 5*c**4/6 + 1955*c**3/6 - 490*c**2 + c - 1175. Solve y(u) = 0 for u.
-196, -1, 1
Let f(o) = 28*o + 96. Let r be f(-12). Let w = r + 1202/5. Factor -1/5 + 0*h + w*h**2 - 1/5*h**4 + 0*h**3.
-(h - 1)**2*(h + 1)**2/5
Let j(a) be the second derivative of a**6/30 - 4*a**5/5 - 43*a**4/12 + 65*a**3/3 - 36*a**2 + 3*a - 354. Determine w, given that j(w) = 0.
-4, 1, 18
Let y(d) be the first derivative of 0*d - 106 + 0*d**2 + 10*d**4 - d**5 - 35/3*d**3. Factor y(g).
-5*g**2*(g - 7)*(g - 1)
Let q = 2679 + -2675. Let s(m) be the first derivative of -4/3*m**3 + 0*m**2 + 2*m - 11 + 2/5*m**5 + 0*m**q. Factor s(w).
2*(w - 1)**2*(w + 1)**2
Let z(n) be the second derivative of n**5/150 + n**4/3 + 251*n**3/45 + 26*n**2 - 7922*n. Let z(m) = 0. Calculate m.
-15, -13, -2
Let a be (1/(-10))/1 - 407/(-2960). Let u(h) be the second derivative of 0*h**3 + 0*h**2 + a*h**5 - 3/16*h**4 + 0 - 14*h. Factor u(c).
3*c**2*(c - 3)/4
Let i be (19 + (-700)/60)/((-5 + -3)/(-24)). Let -i*k**2 + 48/13*k - 48/13*k**3 + 288/13 - 2/13*k**4 = 0. Calculate k.
-12, -1, 1
Let q be (-1)/((5/(-4))/(-5)). Let o be (-2)/((-4 + 2)*(-2)/q). Suppose 4*g - 3 + 2*g**o - 2*g**3 - 5 + 7*g - 3*g = 0. What is g?
-2, 1, 2
Suppose 16*u + 48 = 27*u - 117. Let x(v) be the first derivative of -u*v**2 - 18 + 25*v + 5/3*v**3. Find f, given that x(f) = 0.
1, 5
Let y(v) be the second derivative of v**6/135 - 2*v**5/5 + 35*v**4/54 + 747*v. Factor y(u).
2*u**2*(u - 35)*(u - 1)/9
Suppose -2*d - 1 + 11 = 0. Let y = -5758 + 5762. What is g in -14*g**4 - 36*g**3 - 2*g**d - 5*g - 44*g**2 - 11*g + y*g**2 = 0?
-2, -1, 0
Let b(l) = 41*l**3 + 196*l**2 + 292*l + 40. Let g(w) = -8*w**3 - 39*w**2 - 58*w - 8. Let y(v) = -4*b(v) - 22*g(v). Factor y(f).
2*(f + 2)*(f + 4)*(6*f + 1)
Let a(b) = b**5 - b**3 + 4*b**2 + b + 1. Let w(c) = -10*c**5 - 26*c**4 - 16*c**3 + 4*c**2 + 22*c + 2. Let r(d) = 8*a(d) + 2*w(d). Find h, given that r(h) = 0.
-3, -1, -1/3, 1
Let i(s) = s. Let a(q) be the second derivative of -q**4/12 + 2*q**3/3 - 3*q**2/2 - 141*q. Let k = -51 - -91. Let g(n) = k*i(n) - 5*a(n). Factor g(u).
5*(u + 1)*(u + 3)
Let o(a) be the second derivative of a**5/20 - 29*a**4/4 + 151*a + 1. Find g such that o(g) = 0.
0, 87
Let r(l) = -4*l**3 + 308*l**2 - 620*l + 8. Let f(d) = -4*d**3 + 306*d**2 - 621*d + 10. Let a(j) = -4*f(j) + 5*r(j). Determine c, given that a(c) = 0.
0, 2, 77
Let w(o) be the third derivative of o**8/168 - 109*o**7/105 + 529*o**6/60 - 943*o**5/30 + 365*o**4/6 - 208*o**3/3 - 3441*o**2. Suppose w(c) = 0. What is c?
1, 2, 104
Let p(v) = -3*v**2 + 87*v + 90. Let f be p(-1). Let z(r) be the second derivative of -2/21*r**4 + f*r**2 + 0 - 10*r - 1/21*r**3. What is b in z(b) = 0?
-1/4, 0
Let q(l) = -48*l**3 - 56*l**2 - 36*l + 6. Let u(j) = -58*j**3 - 55*j**2 - 38*j + 10. Let t(y) = -3*q(y) + 2*u(y). Determine w, given that t(w) = 0.
-1, -1/14
Suppose 3*j - 331 = -4*x - 0*x, x = 3*j - 341. Factor 121*w + w**2 - 231*w + j*w.
w*(w + 3)
Suppose 0 = 6*f + 135 - 435. Factor -239 - f*d - 3*d**2 - 631 + 176*d - 453.
-3*(d - 21)**2
Let x be (3 + -1)/(12610/9700 - 4/5). Find m, given that 45*m**3 - 81/4 + 81*m - 25/4*m**x - 207/2*m**2 = 0.
3/5, 3
Let k(x) = x**4 + 15*x**3 + 108*x**2 + 196*x + 3. Let c(b) = 2*b**4 + 31*b**3 + 215*b**2 + 392*b + 5. Let m(z) = 3*c(z) - 5*k(z). Let m(a) = 0. Calculate a.
-7, -4, 0
Let i(y) = -2*y**3 - 54*y**2 - 74*y - 522. Let d be i(-26). Let u(n) be the first derivative of -3 - d*n - 2/3*n**3 - 10*n**2. Solve u(t) = 0.
-5
Let l be 1029/(-84) - (-2 - (-14)/8). Let o be (-18)/60*((-14)/l - 2). Factor 1/4*i**3 - o*i**2 - 3/4 - 5/4*i.
(i - 3)*(i + 1)**2/4
Factor 254/7*o**2 + 0 - 16129/7*o - 1/7*o**3.
-o*(o - 127)**2/7
Let c(d) be the second derivative of 57/20*d**5 + 3/5*d**6 - 177*d + 6*d**2 + 33/4*d**3 + 0 + 13/2*d**4 + 1/28*d**7. Determine o so that c(o) = 0.
-8, -1
Let s be 240/(-672)*-21*(-8)/(-50). Let 2/5*k**3 - s*k**2 + 0*k + 0 = 0. Calculate k.
0, 3
Let k be 1*177/12*4. Let l = k + -27. Factor l*z**2 - 21*z**3 + 4*z - 22*z**4 + 36*z**3 - 59*z**4 + 30*z**3.
-z*(z - 1)*(9*z + 2)**2
Let t(m) be the first derivative of -33/2*m**2 - 38/3*m**3 - 10*m + 0*m**5 - 4*m**4 - 236 + 1/6*m**6. Factor t(h).
(h - 5)*(h + 1)**3*(h + 2)
Let 