x(k) = 0. Calculate k.
-2, 1, 8
Let b be (-8228)/(-612) - (133/(-76))/(2/8). Factor -b*r + 8/9 + 1058/9*r**2.
2*(23*r - 2)**2/9
Let u(m) be the first derivative of 0*m + 18 - 1/144*m**6 + 5/48*m**4 + 0*m**5 + 0*m**2 - 13/3*m**3. Let a(d) be the third derivative of u(d). Factor a(j).
-5*(j - 1)*(j + 1)/2
Suppose 34*w - 4 = 2*p, -4*w = 5*p - 79 + 89. Let h = -796 - -4004/5. Factor -6/5*l**4 - h*l + w - 6*l**3 - 48/5*l**2.
-6*l*(l + 1)*(l + 2)**2/5
Let d = -142170 - -142190. Suppose -40*o**4 - 140/3*o**3 + 0 - d*o**2 - 32/3*o**5 - 8/3*o = 0. Calculate o.
-2, -1, -1/2, -1/4, 0
Let o(a) be the second derivative of 3*a**5/20 - 227*a**4/4 - 114*a**3 + 2168*a. Factor o(g).
3*g*(g - 228)*(g + 1)
Let l(t) be the second derivative of 3*t**5/80 - 93*t**4/16 + 330*t**3 - 7800*t**2 - 5215*t. Factor l(q).
3*(q - 40)**2*(q - 13)/4
Suppose 8*v = 5*v + 6. Let j be 224/(-119) + (6 - (-1 + 5)). What is d in 2/17*d**v - j*d**3 + 4/17*d + 0 = 0?
-1, 0, 2
Let v(o) = -15*o**3 - 3138*o**2 + 711525*o + 18. Let j(q) = q**3 + 12*q**2 - q - 1. Let t(m) = -18*j(m) - v(m). Factor t(u).
-3*u*(u - 487)**2
Let p(y) be the first derivative of -6*y + 0*y**2 + 2/3*y**3 + 9 + 2/3*y**4 + 1/5*y**5. Let z(a) be the first derivative of p(a). Solve z(c) = 0.
-1, 0
Let -7806/7*c**4 + 3632*c**3 - 29356/7*c**2 - 8/7*c**5 + 13704/7*c - 1958/7 = 0. Calculate c.
-979, 1/4, 1
Let b = 14744 - 235879/16. Let v(z) be the first derivative of 0*z - 5/4*z**3 + 3/4*z**5 - 44 + 5/6*z**6 + 5/8*z**2 - b*z**4. Let v(q) = 0. What is q?
-1, 0, 1/4, 1
Let c(z) be the first derivative of -3*z**4/4 - 16*z**3 - 75*z**2/2 + 126*z - 1394. Factor c(o).
-3*(o - 1)*(o + 3)*(o + 14)
Let a(h) = -4*h**3 - h**2 - h - 1. Let o be a(-1). Factor d**o - 78*d**2 + 18*d**2 - 3*d**3 - 18*d - 40*d.
-2*d*(d + 1)*(d + 29)
Let d(k) be the first derivative of -104/9*k - 22/9*k**2 - 230 - 1/9*k**4 + 56/27*k**3. Factor d(a).
-4*(a - 13)*(a - 2)*(a + 1)/9
Let i(a) be the second derivative of a**7/105 + a**6/6 + 5*a**5/6 - 119*a**2/2 - 110*a. Let p(o) be the first derivative of i(o). Let p(s) = 0. What is s?
-5, 0
Let z be ((-1422)/1185*(-625)/8)/(9/294). Suppose -5/2*d**2 - 175*d - z = 0. Calculate d.
-35
Let l = 126745/14 + -9053. Let r(q) be the first derivative of l*q**2 + 8/21*q**3 + 0*q**5 + 0*q + 3/14*q**4 - 7 - 1/42*q**6. Factor r(j).
-j*(j - 3)*(j + 1)**3/7
Solve -185*w**2 - 457 + 87*w**2 + 96*w**2 + 504*w - 45 = 0.
1, 251
Let d(l) be the first derivative of l**4/2 - 614*l**3/3 + 9330. Find w, given that d(w) = 0.
0, 307
Find l such that -180/7*l**3 - 1/7*l**5 + 0*l + 0 - 48/7*l**4 - 176/7*l**2 = 0.
-44, -2, 0
Let p(g) be the second derivative of 3/13*g**3 - 1/130*g**5 - 1/26*g**4 + 17*g + 27/13*g**2 - 2. Factor p(d).
-2*(d - 3)*(d + 3)**2/13
Let f(n) be the second derivative of n**5/8 + 205*n**4/24 + 50*n**3/3 + n + 408. Find g, given that f(g) = 0.
-40, -1, 0
Let p(o) = 2*o**2 + 308*o + 10952. Let j(g) = -12893 - 123*g**2 + 59*g**2 + 62*g**2 + 1941 - 304*g. Let t(q) = -3*j(q) - 2*p(q). Factor t(c).
2*(c + 74)**2
Let d(z) be the third derivative of -10*z**2 + 1/1008*z**8 + 5/126*z**7 + 245/9*z**4 + 203/36*z**5 + 0*z + 0 + 686/9*z**3 + 47/72*z**6. Factor d(c).
(c + 2)**2*(c + 7)**3/3
Suppose -5*d = 15, 5*d = 431*j - 429*j - 27. Let w(h) be the third derivative of 0 + 1/480*h**j + 1/48*h**4 + 1/80*h**5 - 4*h**2 + 0*h + 0*h**3. Factor w(c).
c*(c + 1)*(c + 2)/4
Factor 0*l**2 + 423 - 4*l**2 + 981 + 456*l.
-4*(l - 117)*(l + 3)
Let g be (2923/(-111) + 25)/(-2 + (-134)/(-69)). Let w(p) be the first derivative of g - 4/39*p**3 + 0*p + 1/13*p**2. Solve w(v) = 0 for v.
0, 1/2
Let u(h) be the first derivative of 14*h - 100 + 5/2*h**2 - 1/3*h**3. Solve u(j) = 0.
-2, 7
Factor 88*f**3 + 270*f - 18*f**3 - 359*f**3 - 4762*f - 19142*f**2 - 905 + 641.
-(f + 66)*(17*f + 2)**2
Let v(w) = w**2 + 1298*w - 45286. Let x be v(34). Factor 1/3*z**x - 92/3*z + 2116/3.
(z - 46)**2/3
Factor -100 + 267*y**3 - 42*y**5 - 52*y**4 - 56*y**3 + 21*y**3 + 340*y - 424*y**2 + 91*y**5 - 45*y**5.
4*(y - 5)**2*(y - 1)**3
Let k(d) = 2*d**2 - d - 1. Let v(m) = -13*m**2 - 28*m + 5. Let a = 355 + -350. Let n(u) = a*k(u) + v(u). Factor n(z).
-3*z*(z + 11)
Let b(d) = d**3 + d**2 - 1. Let i = 64 - 61. Let c(j) = -7*j**3 - 27*j**2 + 4*j + 27. Let a(p) = i*b(p) + c(p). Find m, given that a(m) = 0.
-6, -1, 1
Let i(s) be the second derivative of 25/2*s**4 - 169/40*s**6 - 143/10*s**5 + 20*s + 0 + 15*s**2 - 4*s**3. Let c(o) be the first derivative of i(o). Factor c(d).
-3*(d + 2)*(13*d - 2)**2
Let x(r) be the third derivative of -3/140*r**5 + 0*r**3 + 11*r + 3/490*r**7 + 1/28*r**4 - 2*r**2 - 1/280*r**6 + 0 - 1/784*r**8. Find h, given that x(h) = 0.
-1, 0, 1, 2
Let b(t) be the second derivative of -t**8/140 + t**7/63 + 23*t**6/2160 + t**5/360 + 37*t**4/3 + 4*t - 4. Let r(v) be the third derivative of b(v). Factor r(l).
-(l - 1)*(12*l + 1)**2/3
Let x(v) be the third derivative of 0 - 1/70*v**7 + 0*v**3 + 3/40*v**6 - 1/2*v**4 + 104*v**2 + 0*v**5 + 0*v. Factor x(s).
-3*s*(s - 2)**2*(s + 1)
Let t(w) = -w. Let z be t(-2). Let f(b) = -13*b**2 - 499*b + 312. Let l be f(-39). Factor 5/2*i + l - 5/4*i**z.
-5*i*(i - 2)/4
Let t be ((-17)/5)/((-1)/10*2). Suppose 7 = -5*j + t. Suppose -j*g - 12*g**5 + 2*g + g**3 + 2*g**4 + 13*g**5 = 0. Calculate g.
-1, 0
Let o(i) be the third derivative of 1331/9*i**4 + 0*i - 2057/45*i**5 + 143/30*i**6 + 36*i**2 - 2/9*i**7 - 1 + 0*i**3 + 1/252*i**8. What is y in o(y) = 0?
0, 2, 11
Factor 0 - 5/3*l**2 - 5005/3*l.
-5*l*(l + 1001)/3
Determine q so that 1065/7*q**2 + 153 + 3/7*q**3 - 2139/7*q = 0.
-357, 1
Let r(h) be the second derivative of 205*h - 5/6*h**3 - 1/30*h**6 + 0 + h**2 - 1/12*h**4 + 7/20*h**5 - 1/21*h**7. Let r(m) = 0. What is m?
-2, -1, 1/2, 1
Let b = -1433/17 - -3121/34. Solve 12 + b*n**3 - 9*n**2 - 3/2*n**4 - 6*n = 0.
-1, 2
Let f(g) be the first derivative of 2491752/7*g + 329 + 39762/7*g**2 + 3/28*g**4 + 282/7*g**3. Solve f(b) = 0.
-94
Suppose -d = 13*w - 12*w, 3*w + 20 = 2*d. Factor 0 + 4/5*o**d + 3/5*o**3 - 9/5*o**2 + 2/5*o.
o*(o - 1)*(o + 2)*(4*o - 1)/5
Let a(u) = 20*u**2 + 2300*u + 4520. Let q(m) = 4*m**2 + 460*m + 904. Let v(p) = 5*a(p) - 24*q(p). Let v(w) = 0. What is w?
-113, -2
Let f(q) = q**4 - 17*q**2 + q. Let j(r) = -2*r**4 + 20*r**3 + 593*r**2 + 3887*r + 8208. Let h(b) = 2*f(b) + 2*j(b). Find z such that h(z) = 0.
-6, 38
Determine j so that -18721*j + 15*j**2 + 4060*j - 18409*j + 22040 = 0.
2/3, 2204
Let h(l) be the first derivative of -3/17*l**4 - 10/17*l**2 + 6/17*l + 2/85*l**5 + 12 + 8/17*l**3. Factor h(k).
2*(k - 3)*(k - 1)**3/17
Let h = 1842 + -2305. Let p = h + 4169/9. Let -8/9 - 4/9*w**3 + p*w**4 + 16/9*w - 2/3*w**2 = 0. What is w?
-2, 1, 2
Let v(z) be the third derivative of -5*z**8/336 - z**7/14 + 13*z**6/24 + 7*z**5/12 - 15*z**4/2 + 50*z**3/3 - 150*z**2 + 1. Let v(h) = 0. Calculate h.
-5, -2, 1, 2
Let g(q) be the first derivative of q**6/480 - q**5/32 + 3*q**4/16 + 70*q**3/3 + 37. Let h(x) be the third derivative of g(x). Factor h(d).
3*(d - 3)*(d - 2)/4
Let j be (-80)/(-16) - -1 - 4. Suppose 1 - 6 = -n. Factor 11*t**3 - 80*t + 15 - 36*t**3 + 85*t**j + n.
-5*(t - 2)*(t - 1)*(5*t - 2)
Let g(t) be the third derivative of t**6/360 + 97*t**5/180 - 149*t**4/36 + 100*t**3/9 - 5262*t**2. Factor g(y).
(y - 2)*(y - 1)*(y + 100)/3
Let f(v) be the second derivative of -7*v**5/40 + 485*v**4/24 + 214*v**3/3 - 71*v**2 - v + 289. Factor f(g).
-(g - 71)*(g + 2)*(7*g - 2)/2
Let d be (-40)/880 + (-2824)/(-176) - (0 - -1). Factor 46/3*g + d + 1/3*g**2.
(g + 1)*(g + 45)/3
Let v(c) = 9*c + 27. Let i be v(-3). Let q(s) = -2*s + 2. Let p be q(i). Factor -20*w - w**3 - 21*w + p*w**2 + 44*w.
-w*(w - 3)*(w + 1)
Factor 103/2*p**4 + 0 + 209/2*p**3 + 105/2*p**2 + 0*p - 1/2*p**5.
-p**2*(p - 105)*(p + 1)**2/2
Let r(k) be the third derivative of -2*k**5/5 + 409*k**4/8 - 51*k**3/2 - 14*k**2 + 2*k. Suppose r(m) = 0. What is m?
1/8, 51
Let g = 18125 + -17965. Let x(z) be the second derivative of -1/6*z**6 + 27*z + g*z**2 - 11/4*z**5 - 15*z**4 + 0 - 40/3*z**3. Determine a, given that x(a) = 0.
-4, 1
Let x(m) = -2*m**2 + 10*m - 4. Let a(z) = z**2 - 8*z + 11. Let i be a(7). Let y be x(i). Suppose -3*s**2 + 0 + y*s + 4*s**2 - 2 + 5 = 0. What is s?
-3, -1
Let s be (-312)/(-130)*(272/126 - 2). Let j(m) be the first derivative of 0*m**4 + 0*m**2 + 2/35*m**5 + 0*m