ve of -3*x**8/112 + 253*x**7/70 + 429*x**6/40 + 87*x**5/20 - 43*x**4/4 - 2*x**2 - 4*x + 46. Solve t(c) = 0.
-1, 0, 1/3, 86
Suppose 0 = -3*r - 3*h + 19 - 16, -h = 2. Let w(g) be the first derivative of 5/4*g**4 - g**5 + 0*g**2 + 0*g + 0*g**r + 2. What is x in w(x) = 0?
0, 1
Let 32/13*t**2 - 308/13 - 82/13*t - 2/13*t**3 = 0. Calculate t.
-2, 7, 11
Let b = 67094 + -67092. What is w in -4/3*w + 16/3 - 2/3*w**b = 0?
-4, 2
Factor 1/4*t**2 + 93025/4 + 305/2*t.
(t + 305)**2/4
Let d be 14 + -1 + 2 + (-4 - 1). Suppose b = 2*b - 79. Factor d - 45*x**4 - 16*x**3 - 5*x - b*x**3 - 75*x**2 + 10*x**4.
-5*(x + 1)**3*(7*x - 2)
Solve -62343*u - 48*u**3 + 62343*u + 3*u**4 + 192*u**2 = 0.
0, 8
Let a(l) = 15*l**2 - 2 - 14*l**2 + 4. Let q be a(-3). Factor -q*j - 8*j**2 + 29*j**2 + 6 - 23*j + 7*j.
3*(j - 1)*(7*j - 2)
Let x = -1/3 - -11/15. Suppose -6*y = 4*m - 46, -63*m - 4*y = -59*m - 36. What is z in 0 + 4/5*z**3 - z**2 + 3/5*z**m - x*z = 0?
-2, -1/3, 0, 1
Let p be (5757/(-3838))/(9/(-20)). Determine h so that -p*h**2 + 8/3*h + 2/3*h**3 + 0 = 0.
0, 1, 4
Let v(q) be the third derivative of 2 + 0*q + 9*q**2 + 1/42*q**7 - 1/12*q**5 + 0*q**3 + 5/6*q**4 - 1/6*q**6. Suppose v(n) = 0. Calculate n.
-1, 0, 1, 4
Let w = 311 + -276. Suppose 24*d**2 + 24*d**3 + 44*d**2 - 55*d**3 + w*d**3 + 64*d = 0. What is d?
-16, -1, 0
Let c = -1036 - -1056. Suppose 42*k - 46*k + c = 0, -4*k + 20 = 2*y. Factor 2/7*g**4 - 4/7*g + 4/7*g**3 - 2/7 + y*g**2.
2*(g - 1)*(g + 1)**3/7
Let x(a) be the second derivative of a**4/24 + 145*a**3/24 + 675*a**2/8 + 95*a + 35. Factor x(f).
(f + 5)*(2*f + 135)/4
Let k(g) be the second derivative of -116*g + 0*g**2 + 0 + 1/6*g**3 - 1/24*g**4. Suppose k(d) = 0. Calculate d.
0, 2
Let z(a) = a**2 + 189*a - 5585. Let y be z(26). Determine q, given that 4/5*q + 12/5*q**y - 8*q**4 + 48/5*q**3 - 24/5*q**2 + 0 = 0.
0, 1/3, 1
Let s(b) = -8*b**3 - 20*b**2 - 476*b - 474. Let p(u) = -u**3 - 6*u**2 - u + 3. Let j(w) = -10*p(w) + s(w). Factor j(f).
2*(f - 9)*(f + 1)*(f + 28)
Let d(j) be the second derivative of -j**4/6 - 1270*j**3/3 - 403225*j**2 + 267*j. Factor d(o).
-2*(o + 635)**2
Let g(c) be the first derivative of -5*c**3/6 + 835*c**2 - 278890*c + 1387. Suppose g(d) = 0. Calculate d.
334
Let o(m) be the second derivative of -1/6*m**3 + 31*m + 0 - 19/120*m**4 + 33/2*m**2 + 1/75*m**5. Let d(v) be the first derivative of o(v). Factor d(p).
(p - 5)*(4*p + 1)/5
Let h(t) be the first derivative of -t**6/2 + 12*t**5 - 27*t**4 - 2*t**3 + 111*t**2/2 - 54*t + 797. Factor h(q).
-3*(q - 18)*(q - 1)**3*(q + 1)
Find u, given that -3*u**2 + 3 + 1/10*u - 1/10*u**3 = 0.
-30, -1, 1
Let q(y) be the second derivative of 2*y**7/21 + 6*y**6/35 - y**5/7 - 3*y**4/7 - 4*y**3/21 + 2*y - 144. Let q(f) = 0. Calculate f.
-1, -2/7, 0, 1
Let u be (-9)/4 + 129/(-301)*-7. Let -u*l**3 - 21/4*l - 441/4 + 33/4*l**2 = 0. Calculate l.
-3, 7
Let s(j) be the second derivative of 11/6*j**4 - 1 + 2/3*j**3 + 0*j**2 + 5*j + 7/15*j**6 + 8/5*j**5. Suppose s(p) = 0. What is p?
-1, -2/7, 0
Let p(u) = -2*u**3 - u**2 + 4*u - 3. Let c be p(2). Let t be (-11)/(-3) - (-10)/c*1. Factor 403 + 9*n**2 - 403 + 6*n + t*n**3.
3*n*(n + 1)*(n + 2)
Let t(o) be the second derivative of -o**7/189 - 23*o**6/135 + 11*o**5/6 - 257*o**4/54 + 116*o**3/27 - 223*o. Determine i so that t(i) = 0.
-29, 0, 1, 4
Let s = 124402/70371 + 78/7819. Suppose 2/3*x**3 - 8/3*x + s - 44/9*x**2 + 10/9*x**4 = 0. What is x?
-2, -1, 2/5, 2
Factor -32/7*g**2 + 2/7*g**5 + 0*g**4 - 24/7*g**3 + 0 + 0*g.
2*g**2*(g - 4)*(g + 2)**2/7
Suppose 8*w - 29 = 987. Suppose -w*h + 130*h - 6 = 0. Factor 1/3 + 1/3*k**3 + k + k**h.
(k + 1)**3/3
Let a = 187907/35232 + -1/11744. Let s(k) be the first derivative of -8*k**2 + 3*k**4 - a*k**3 + 20 - 2/3*k**6 + 0*k + 8/5*k**5. Let s(w) = 0. What is w?
-1, 0, 2
Suppose y = -a - y + 30, 0 = 4*a - 3*y - 65. Let b be (65/a + -3)*8. Find o such that o**2 + 50 - 22*o + o**2 + b*o = 0.
5
Let j be 888/(-481) - -15 - 13/1. Suppose -288/13 - 48/13*d - j*d**2 = 0. What is d?
-12
Let g be (-752)/(-40) - (3 - 48/15). Suppose 3*z + 4 = g. Let -2*d + d**z - 11/2*d**4 + 2 + 10*d**3 - 11/2*d**2 = 0. What is d?
-1/2, 1, 2
Let n(a) be the third derivative of -a**7/840 - a**6/60 - a**5/40 + a**4/12 + 7*a**3/24 + 1184*a**2. Let n(b) = 0. What is b?
-7, -1, 1
Let w be (-20)/(-30)*306/612. Let -4*z**2 + 1/3*z**3 + w*z**4 + 16/3 + 4/3*z = 0. Calculate z.
-4, -1, 2
Let z = 831/6919 + -1/407. Let h be (-43275)/1731 - 938/(-34). What is g in 242/17 + z*g**2 + h*g = 0?
-11
Factor 18180*z**2 - 4761909645 + 13663710285 - 12938452*z - z**3 - 9095708*z - 4*z**3.
-5*(z - 1212)**3
Let k(f) = -f**3 - 36*f**2 + 34*f - 262. Let u be k(-37). Let l = -141 - u. Let -4 - 9*y**2 + 7/2*y**3 - 1/2*y**4 + l*y = 0. What is y?
1, 2
Let -471/4*n - 1773/8*n**2 - 15 + 6*n**4 + 39*n**3 = 0. What is n?
-10, -1/4, 4
Let o(f) = 3*f**3 - 40*f**2 + f + 26. Let i(z) = z**3 - 6*z**2 + z - 1. Let y(v) = 2*i(v) - o(v). Determine l, given that y(l) = 0.
-1, 1, 28
Let c(q) be the second derivative of -q**4/6 + 2*q**3/3 + 120*q**2 - 5559*q. Suppose c(x) = 0. Calculate x.
-10, 12
Suppose 6 = -29*n + 35*n. Let a be ((-152)/(-714))/n + 24/(-204). Find z such that 8/21*z - 8/21 + 2/21*z**2 - a*z**3 = 0.
-2, 1, 2
Let b(h) be the second derivative of -h**4/24 - 781*h**3/36 + 87*h**2/2 - 3602*h. Factor b(w).
-(w + 261)*(3*w - 2)/6
Let n be ((-1)/(-15))/(145/((-204450)/(-376))). Factor -5/4*l**3 + 9/4*l + 0 + n*l**4 + 3/4*l**2.
l*(l - 3)**2*(l + 1)/4
Suppose -3*t = -4*a - 4 + 1, 3*a + 5*t - 5 = 0. Let c = a - -2. Factor -4 - 4*m + m**3 + c*m - 2*m + m**2.
(m - 2)*(m + 1)*(m + 2)
Factor 1/2*b**5 + 83/2*b + b**2 - 42*b**3 - 21 + 20*b**4.
(b - 1)**3*(b + 1)*(b + 42)/2
Let i(o) be the first derivative of -o**4/22 + 32*o**3/33 - 9*o**2/11 - 180*o/11 - 1311. Factor i(j).
-2*(j - 15)*(j - 3)*(j + 2)/11
Let s = 104 - 138. Let u = s - -65. Factor -20*l**3 + 84*l + 4*l**4 - 2 + 4*l**2 - u - 39.
4*(l - 3)**2*(l - 1)*(l + 2)
Let d = -10503/968 + 1328/121. Suppose 1/4*h**3 + 3/8*h**4 - 1/8*h - 3/4*h**2 + 3/8 - d*h**5 = 0. What is h?
-1, 1, 3
Let p(s) be the first derivative of s**6/39 + 18*s**5/65 + 12*s**4/13 + 40*s**3/39 - 1057. Solve p(q) = 0 for q.
-5, -2, 0
Let l = 60 - 60. Factor -q + l*q + 34*q - 10*q + 9*q + 34*q**2 + 2*q**3.
2*q*(q + 1)*(q + 16)
Suppose -13*o - 2736 = -2801. Let z(m) be the second derivative of -3/20*m**o + 6*m + 0 + m**4 + 0*m**2 + 5/2*m**3. Solve z(k) = 0.
-1, 0, 5
Let a(k) = -6*k**2 + 9*k. Let n(o) = 15*o**2 + 711*o - 1464. Let c(h) = 3*a(h) + n(h). Factor c(x).
-3*(x - 244)*(x - 2)
Let k(q) be the second derivative of 0 + 42*q**2 + 250/3*q**4 - 272/3*q**3 + 6/5*q**6 - 18*q - 96/5*q**5. Factor k(t).
4*(t - 7)*(t - 3)*(3*t - 1)**2
Determine f so that 20 - 2/9*f**3 + 28/3*f**2 + 266/9*f = 0.
-2, -1, 45
Let g(f) be the first derivative of 6*f**4 - 37*f**3 - 366*f**2 - 828*f + 6025. Factor g(u).
3*(u + 2)**2*(8*u - 69)
Let a = -6539 - -6555. Let l(d) be the first derivative of -a + 0*d - 2/51*d**3 - 1/17*d**2. Solve l(x) = 0.
-1, 0
Let v(p) be the third derivative of -46*p**2 + 1/16*p**4 - 1/20*p**5 + 0*p - 1/80*p**6 + 0 + 1/2*p**3. Let v(d) = 0. Calculate d.
-2, -1, 1
Let h(p) = -15*p**4 - 9*p**3 - 69*p**2 + 129*p + 6. Let n(u) = 12*u**4 + 8*u**3 + 68*u**2 - 130*u - 5. Let i(f) = 5*h(f) + 6*n(f). Factor i(a).
-3*a*(a - 3)**2*(a + 5)
Let g(f) be the third derivative of -f**7/840 - f**6/80 + f**5/10 + 2*f**4/3 - 861*f**2 - 1. Determine y so that g(y) = 0.
-8, -2, 0, 4
Let n be (2 - (-94)/(-48)) + (-239325)/(-1800) + -131. Suppose 15/4*s**5 + 0*s + 33/4*s**4 + 0*s**n + 3/2*s**3 + 0 = 0. What is s?
-2, -1/5, 0
Solve 52/7*y**3 - 40/7*y**2 - 8/7*y**4 + 0 + 0*y - 4/7*y**5 = 0.
-5, 0, 1, 2
Let u(v) be the second derivative of v**5/30 + 175*v**4/9 + 697*v**3/9 + 116*v**2 - 1828*v. Find x such that u(x) = 0.
-348, -1
Let z(o) = 3*o + 1. Let n be z(5). Suppose 4*b = -8 + n. Find h such that 0*h + h - 3*h**b - 9*h - 2*h**2 - h**3 - 4 = 0.
-2, -1
Suppose -2*b - 2*o - 3794 = 0, -3*b + o - 5651 = -4*o. Let u be 3/6*4 - b. Find w, given that -2*w**2 - 1902 + 4*w**2 + u = 0.
-2, 2
Determine w, given that 394/3*w**2 - 239/3*w**3 + 44/3*w**4 - 229/3*w + 10 = 0.
2/11, 1, 5/4, 3
What is l in -328/15*l - 2/15*l**3 - 122/15*l**2 + 232/3 = 0?
-58, -5, 2
Let j = 1275 - 1267. Suppose 3*h - 5*s = 27, 6*h - 3*h -