1
Let d = 191/2147 - -20133/15029. What is k in -80/7*k - 4/7*k**4 + 24/7 - d*k**3 + 10*k**2 = 0?
-6, 1/2, 1, 2
Let h be 352/(-616) - 261/(-420). Let n(t) be the third derivative of 14*t**2 + 1/4*t**3 + 0*t - 1/4*t**4 + 1/140*t**7 + 3/20*t**5 + 0 - h*t**6. Factor n(u).
3*(u - 1)**4/2
Suppose 0 = 3*w + 3*p - 18, -3*p + 9 = w - 5. Factor -2 - 27*v - 18 - 12*v**w + 4 - 5*v.
-4*(v + 2)*(3*v + 2)
Suppose 86*r = 84*r + 916. Suppose -2*t + r = 454. Factor -1/2 + p - 1/2*p**t.
-(p - 1)**2/2
Suppose 2*l + 6*r + 4 = 11*r, 0 = 5*l - 4*r - 7. Let x(g) be the second derivative of l*g - 1/42*g**4 - 9/7*g**2 + 0 + 2/7*g**3. Find i such that x(i) = 0.
3
Let c(g) = -20*g**4 - 280*g**3 - 316*g**2 + 604*g + 48. Let l(k) = 2*k**4 - k**3 + k**2 - k - 4. Let p(v) = c(v) + 12*l(v). Factor p(m).
4*m*(m - 74)*(m - 1)*(m + 2)
Suppose 1055*s - 1048*s = 28. Factor -79*v**3 - 560*v + 4*v**s + 34*v**2 + 400 + 193*v**2 + 23*v**3 + 49*v**2 + 0*v**4.
4*(v - 5)**2*(v - 2)**2
Suppose -5*p + 2*r + 71 = -r, 0 = -4*p - 4*r + 76. Let v be 20/p + 68/(-80). Let v*m**2 - 8/5*m + 6/5 = 0. Calculate m.
1, 3
Let j(n) be the first derivative of -2*n**5/5 + 51*n**4 - 1664*n**3 - 5408*n**2 - 2911. What is k in j(k) = 0?
-2, 0, 52
Let z be (3*(-4)/(-14))/((-56)/(-196)). Suppose 49*d - z = 95. Determine l so that -2/15*l**4 - 4/15*l**d - 8/15*l + 2/5 + 8/15*l**3 = 0.
-1, 1, 3
Let b(a) be the first derivative of -2*a**7/21 + 26*a**6/15 - 23*a**5/5 + 11*a**4/3 - 146*a - 124. Let m(u) be the first derivative of b(u). Solve m(i) = 0.
0, 1, 11
Suppose 4*n - 4*h - 248 = 0, -5*h + 2*h + 9 = 0. Let g be (-64 + n)*(-6)/(-8). Find b, given that g*b**2 + 48 - 12*b = 0.
8
Let b = 21 - 22. Let q be (b/4)/((-3)/12). Factor s**2 + s**2 + 9 + 35*s - 23*s + q.
2*(s + 1)*(s + 5)
Let v(g) be the third derivative of -g**9/453600 + g**8/30240 - g**7/9450 - g**5/20 - g**3/2 + 122*g**2. Let r(k) be the third derivative of v(k). Factor r(h).
-2*h*(h - 4)*(h - 1)/15
Solve 124/5*u - 4/5*u**2 - 168 = 0 for u.
10, 21
Let j(p) be the second derivative of 50*p + 0 + 21/5*p**2 - 1/2*p**3 - 1/20*p**4. Factor j(a).
-3*(a - 2)*(a + 7)/5
Find o, given that 760/3*o**2 + 56/3*o**4 + 2/3*o**5 - 156*o**3 - 350/3*o + 0 = 0.
-35, 0, 1, 5
Let n = 151733 + -11684091/77. Let k = n - -96/11. Factor -4/7*v**3 + 0*v**2 + k*v**4 + 0*v + 0.
2*v**3*(v - 2)/7
Let j(p) be the second derivative of -p**7/189 + 26*p**6/135 - 32*p**5/15 + 272*p**4/27 - 512*p**3/27 + 2930*p. Let j(o) = 0. What is o?
0, 2, 4, 16
Let v(t) = -t**2 - 45*t - 192. Let o be v(-40). Find g, given that 11*g + 60*g**2 + o*g + 16*g**3 - 48 - 24*g - 23*g = 0.
-4, -3/4, 1
Solve 28900000*t + 98260000000/3 + 8500*t**2 + 5/6*t**3 = 0 for t.
-3400
Let b = -5/474 - -3575/1896. Let d(q) be the first derivative of 1/2*q**5 + 0*q - 5/12*q**6 + 5/2*q**2 + b*q**4 + 9 - 25/6*q**3. Factor d(f).
-5*f*(f - 1)**3*(f + 2)/2
Let p = -2742 - -41132/15. Let a = 139 - 137. Let p*g**a + 2/5 + 8/15*g = 0. Calculate g.
-3, -1
Let h(q) be the second derivative of 3*q**5/20 + 9*q**4/4 + 11*q**3/2 - 63*q**2/2 - 699*q + 2. Factor h(k).
3*(k - 1)*(k + 3)*(k + 7)
Let r(y) be the first derivative of 5*y**3/3 + 495*y**2/2 + 2101. Find x such that r(x) = 0.
-99, 0
Factor 23/2*k - 7/2*k**3 - 3/2*k**2 - 7 + 1/2*k**4.
(k - 7)*(k - 1)**2*(k + 2)/2
Let q(j) be the third derivative of j**7/210 + 67*j**6/120 + 328*j**5/15 + 485*j**4/2 - 1200*j**3 + 30*j**2 + 2*j + 19. Solve q(p) = 0 for p.
-30, -8, 1
Suppose 93*z**3 - 20*z - 2020 + 505*z**2 - 253*z**3 + 165*z**3 = 0. What is z?
-101, -2, 2
Suppose -4*p + 4*h + 92 = 0, -4316*p - 2*h - 88 = -4339*p. Find d, given that -882/5 + 84/5*d - 2/5*d**p = 0.
21
What is t in 1/5*t**3 + 7*t + 14/5*t**2 + 22/5 = 0?
-11, -2, -1
Let c(l) be the second derivative of 1/5*l**5 + 162*l + l**2 + 0 - 1/3*l**4 + 1/15*l**6 - 1/3*l**3 - 1/21*l**7. Factor c(m).
-2*(m - 1)**3*(m + 1)**2
Let r(q) = -11*q**3 + q**2 - 2*q - 2. Let h be r(-1). Suppose -334*a - h = -340*a. Let 0*z + 1/2*z**5 + 1/2*z**4 + 3/2*z**a - 5/2*z**3 + 0 = 0. What is z?
-3, 0, 1
Let p(y) be the first derivative of 1/20*y**5 - 2/3*y**3 - 1/8*y**4 + 124 - 9/4*y + 9/4*y**2. Factor p(g).
(g - 3)*(g - 1)**2*(g + 3)/4
Find y, given that 3232 - 3225*y**2 + 4013*y**2 + 4024*y - 3*y**3 + 4*y**3 - 5*y**3 = 0.
-4, -1, 202
Let w be (-3*(-6)/(-315))/((-3)/15*8). Let t(x) be the second derivative of 3/70*x**5 + 38*x - w*x**4 + 0*x**2 + 1/70*x**6 - 1/7*x**3 + 0. Factor t(j).
3*j*(j - 1)*(j + 1)*(j + 2)/7
Let b(h) be the first derivative of h**7/42 + h**6/5 - h**5/10 - h**4 + h**3/6 + 3*h**2 + 123*h - 117. Let z(k) be the first derivative of b(k). Factor z(l).
(l - 1)**2*(l + 1)**2*(l + 6)
Factor 12745*d + 9336*d**2 - 499*d**3 + 4353 - 499*d**3 - 851*d**2 + 988*d**3 - 103.
-5*(d - 850)*(d + 1)*(2*d + 1)
Let b be 1689 + (0 - (-3 + 8 + -12)). Let t = b + -1693. Factor 2*j**2 + 10/7 - 22/7*j - 2/7*j**t.
-2*(j - 5)*(j - 1)**2/7
Suppose 3*c - i - 13 = 0, -2*c - 13*i = -10*i - 5. Let h(q) be the second derivative of 0 - q**3 + 4*q - 1/4*q**c + 0*q**2. Factor h(r).
-3*r*(r + 2)
Suppose -4*c = 5*p - 3528, 0 = -5*p + 3*c - 1551 + 5065. Let t = -700 + p. What is j in 4/7*j - j**5 + 0 + 3/7*j**3 + 16/7*j**t - 16/7*j**2 = 0?
-1, 0, 2/7, 1, 2
Suppose 15/4 + 1/8*u**3 + 4*u**2 + 61/8*u = 0. Calculate u.
-30, -1
Let a(q) be the second derivative of -q**5/40 - q**4/24 + q**3/3 + q**2 - q - 184. Suppose a(s) = 0. Calculate s.
-2, -1, 2
Let s be 12/(-8)*-6 - (-4 - -2). Suppose -12*r + s + 13 = 0. Factor -127 - 2*j**3 - 4*j**4 + 127 - r*j**5.
-2*j**3*(j + 1)**2
Let u = 185 - 167. Let z be (180/(-24) - -3)*(-8)/u. Suppose 108/7 + 3/7*c**z + 36/7*c = 0. Calculate c.
-6
Suppose -4*w - 2 + 14 = 0. Let p(o) = -4*o**3 - 167*o + 337*o - 170*o - 4*o**2. Let s(c) = -5*c**3 - 4*c**2 + c. Let t(f) = w*p(f) - 2*s(f). Solve t(j) = 0.
-1, 0
Suppose 130*g = 136*g - 66. Let p(o) be the third derivative of 0*o**3 + 0*o + 1/84*o**6 - 2/35*o**5 + 1/21*o**4 + 0 + g*o**2. Factor p(n).
2*n*(n - 2)*(5*n - 2)/7
Let h be -15*52/(-130) - 750/(-7). Factor -2/7*n**3 - h*n + 12*n**2 - 1936/7.
-2*(n - 22)**2*(n + 2)/7
Let k be (-56)/(-22)*(-264)/(-48). Let i(n) be the first derivative of -11 - 98*n - k*n**2 - 2/3*n**3. Find s such that i(s) = 0.
-7
Suppose 43*t**3 - 101*t**3 - 1376*t + 196 - 164*t**2 + 60*t**4 + 268 + 1261*t**3 + 533*t**3 = 0. Calculate t.
-29, -1, 2/5, 2/3
Let s be (8 + -1)/(4/8). Suppose 4*b - 6 = s. Factor -3 - 9*g**2 - b*g + 1 - 2 + 25*g.
-(g - 2)*(9*g - 2)
Let b(p) be the third derivative of -p**5/390 - 5*p**4/39 - 12*p**3/13 - 529*p**2. Let b(d) = 0. Calculate d.
-18, -2
Let w(b) = -b**3 + 4*b**2 + 8*b + 2. Let p be w(6). Let l be ((-2)/(-4))/((p/180)/(-11)). Determine y so that l*y**2 - 40*y**2 + 15*y - 7 - 19 + 6 = 0.
-4, 1
Find j, given that -630 + 5349*j**4 + 75*j**3 - 2675*j**4 - 385*j**2 - 2679*j**4 + 825*j = 0.
2, 3, 7
Let n be (18 + -17)*(-1 - -3). Factor 22 + 84*g + 29 + 234*g + 21 - 27*g**n.
-3*(g - 12)*(9*g + 2)
Let d(m) = 866*m - 25980. Let u be d(30). Determine s, given that -6*s**2 - 1/2*s**4 + 1/4*s**5 + u*s + 0 - 5*s**3 = 0.
-2, 0, 6
Factor 485*g**2 - 19482 + 7291*g + 51757*g + g**3 + 28508 + 49538.
(g + 1)*(g + 242)**2
Let o be ((-2)/6)/(22/(-264)). Determine w so that -3*w**4 + 5*w**4 + 3*w**3 - o*w - 3*w**5 - w**2 + 2*w**5 - 3*w**2 = 0.
-1, 0, 2
Let s(w) = w**2 + 40*w + 393. Let g be s(-18). Let m be 2 - (g - (-209)/44). Determine o, given that -m + 1/4*o - 1/2*o**3 + 1/4*o**5 + 1/2*o**2 - 1/4*o**4 = 0.
-1, 1
Let q = 811/124 - 11173/1860. What is t in -16/15*t**3 + 8/3 + q*t - 2*t**2 - 2/15*t**4 = 0?
-5, -2, 1
Let a be -16*1/15*((-11847)/(-132) + -91). Let j be (2 - -4)*4/6. Factor -10/3*l - 18*l**2 - 62/3*l**3 - 22/3*l**j + a.
-2*(l + 1)**3*(11*l - 2)/3
Find s, given that 146/3*s + 0 + 577/3*s**3 + 509/3*s**2 + 211/3*s**4 - s**5 = 0.
-1, -2/3, 0, 73
Let a = 673 - 675. Let u be 12/2*a/(-4). Factor 2/3 + f - 2/3*f**u - f**2.
-(f - 1)*(f + 2)*(2*f + 1)/3
Let g(o) be the second derivative of o**7/252 - 43*o**6/180 + 481*o**5/120 - 119*o**4/24 - 49*o**3/2 + 2077*o. Suppose g(s) = 0. Calculate s.
-1, 0, 2, 21
Suppose 93 = 9*q + 75. Determine x, given that 150*x - 4*x + 101*x - 98 - 48*x**2 + 43*x**q = 0.
2/5, 49
Factor -53824/5 + 928/5*z - 4/5*z**2.
-4*(z - 116)**2/5
Let k(i) be the second derivative of 267*i + 0 + 3/2*i**5 + 1/10*i**6 - 27/2*i**2