l + 60)/4
Let i(p) = 5759*p + 28802. Let o be i(-5). Solve -4*j + o + 1/4*j**2 = 0.
2, 14
Let h = 179 + -177. Factor -h - 7*a + 9 + 3 + 22*a + 5*a**2.
5*(a + 1)*(a + 2)
Let l = 702 + -967. Let s = -1313/5 - l. Determine k, given that 3/5*k + 3/5*k**5 + 18/5*k**3 + 0 - s*k**2 - 12/5*k**4 = 0.
0, 1
Let d be 214/749 - (-23)/(-7). Let p be (3/(-18 + d))/((-67)/1474). Let 0*t + p*t**4 + 6/7*t**5 - 6/7*t**2 + 0 + 10/7*t**3 = 0. Calculate t.
-3, -1, 0, 1/3
Let m be ((-84)/98)/(30/(-70)). Let k(y) be the first derivative of 13 - 1/5*y**5 - y - 2*y**3 + y**4 + m*y**2. Factor k(i).
-(i - 1)**4
Let v = -41381/45 - -4599/5. Let o(d) be the first derivative of 14 + 24*d + v*d**3 + 4*d**2. Determine t so that o(t) = 0.
-6
Factor 81/2*h**2 + 245/6*h + 79/6*h**3 - 1/6*h**4 + 41/3.
-(h - 82)*(h + 1)**3/6
Let a = -33777 + 33779. Let u be (1 - (1 - 1)) + 1. Factor -8/5 - 16/5*j - 2/5*j**3 - u*j**a.
-2*(j + 1)*(j + 2)**2/5
Let a = -190 - -194. Suppose 2*g = a*d + g - 12, -5*g - 24 = -2*d. Factor -2/9*c**5 + 2/9*c**4 + 4/9*c**3 - 2/9*c + 2/9 - 4/9*c**d.
-2*(c - 1)**3*(c + 1)**2/9
Let t be ((-8)/(-14))/(2/(-28)). Let f be 5/(200/130) - t. Determine m so that 21/4*m**4 + 0*m + 1 - f*m**2 + 5*m**3 = 0.
-2, -2/7, 1/3, 1
Factor 763*s + 14447 + s**3 + 15319 - 27267 + 65*s**2.
(s + 7)**2*(s + 51)
Let q(n) be the third derivative of -1/616*n**8 - 1/220*n**6 + 0*n + 0 + 78*n**2 + 1/110*n**5 + 0*n**3 + 1/66*n**4 - 1/165*n**7. Let q(m) = 0. What is m?
-1, 0, 2/3
Let c(q) = -112*q + 11*q**3 + 11 - 21*q**2 + 71*q + 62*q - 4. Let a(i) = 65*i**3 - 125*i**2 + 125*i + 40. Let n(p) = 6*a(p) - 35*c(p). What is k in n(k) = 0?
1
Factor 0 + 6*i - 8/7*i**2 - 2/7*i**3.
-2*i*(i - 3)*(i + 7)/7
Determine j so that 286/23*j + 284/23 + 2/23*j**2 = 0.
-142, -1
Suppose -10*t = 13*t - 92. Let s(g) be the second derivative of 1/48*g**t + 9*g + 0*g**2 + 0 - 1/24*g**3. Factor s(y).
y*(y - 1)/4
Let y(r) = -r**3 - 4*r**2 + 30*r - 113. Let w be y(5). Let u be (2 - 147/60)/(141/w). Factor 0*t - u*t**2 + 1/5*t**3 + 0.
t**2*(t - 3)/5
Let v(b) = -41*b**3 + 55*b**2 + 8*b - 61. Let t(q) = -12*q**3 + q - 2. Let c(a) = -3*t(a) + v(a). Determine h so that c(h) = 0.
-1, 1, 11
Suppose 2*a - 24 = 2*g, -743*a + 739*a = -3*g - 37. Factor -29/2*y + 7*y**2 + a.
(y - 2)*(14*y - 1)/2
Let i(b) = -b**2 - 7*b + 83. Let l(j) = -j**2 - 6*j + 71. Let z(x) = 4*i(x) - 3*l(x). Factor z(p).
-(p - 7)*(p + 17)
Let v = 75 + 28. Let w = -66 + 136. Factor 62 - 204 - v - 5*q**2 + w*q.
-5*(q - 7)**2
Let k(d) = -d**4 - d**3 - 2*d**2 - 2*d - 1. Let m(c) = -2*c**4 - 19*c**3 - 43*c**2 + 58*c - 1. Let b(h) = 2*k(h) - 2*m(h). Find g such that b(g) = 0.
-15, -4, 0, 1
Let l(g) be the third derivative of -g**5/30 + 14*g**4/3 + 19*g**3 - 1193*g**2. Suppose l(q) = 0. What is q?
-1, 57
Let m(a) be the second derivative of a**8/8960 + a**7/840 - a**6/192 + 25*a**4/4 + 37*a. Let k(o) be the third derivative of m(o). Solve k(c) = 0 for c.
-5, 0, 1
Factor 3/2*r**2 + 321/2*r + 1455.
3*(r + 10)*(r + 97)/2
Factor -145*q + 4828*q**3 + 147*q**2 + q - 4831*q**3.
-3*q*(q - 48)*(q - 1)
Let l(r) be the second derivative of r**5/4 + 1375*r**4/4 + 378125*r**3/2 + 103984375*r**2/2 - 3691*r. Find n such that l(n) = 0.
-275
Let s(r) be the second derivative of -r**4/72 + 2221*r**3/18 - 4932841*r**2/12 + 6284*r. Find n, given that s(n) = 0.
2221
Let s be ((-520)/2340)/(6/(-8) - 69/(-108)). Solve 2/3*k**3 + 38/3*k - 22/3*k**s - 6 = 0 for k.
1, 9
Let w be 90/25 + -4 + (-688)/5880. Let z = -9/49 - w. Factor 0 + 4/3*m**3 - m**4 - 2/3*m + z*m**2.
-m*(m - 1)**2*(3*m + 2)/3
Let f be (1164/485)/(2/(-15)*-12). Factor -3*s + 3*s**3 - 9/4 + f*s**2 + 3/4*s**4.
3*(s - 1)*(s + 1)**2*(s + 3)/4
Suppose -3*l = -3*h + 27, 13*l - 10 = 15*l. Let n be -4 - (-1 - 3) - -3. Let 0*x + 1/6*x**2 - 2/3*x**h + 0 - 1/2*x**n = 0. Calculate x.
-1, 0, 1/4
Let n(b) be the second derivative of -3*b**5/20 - 18*b**4 - 141*b**3/2 - 105*b**2 - 1537*b. Factor n(i).
-3*(i + 1)**2*(i + 70)
Let f be -21 + (-8 + 8)/(5 - 3). Let v be (0 - (-7)/f)/(0 + -1). Find i, given that 1/3*i - v*i**5 + 0*i**3 - 2/3*i**4 + 2/3*i**2 + 0 = 0.
-1, 0, 1
Let a(o) = -25*o**3 - 42*o**2 + 130*o - 117. Let b(k) = -40*k**3 - 85*k**2 + 260*k - 235. Let f(z) = 5*a(z) - 3*b(z). Factor f(t).
-5*(t - 4)*(t - 3)*(t - 2)
Let x be 3 + (-12)/4 + 6. Let y(o) = -7*o**5 + 5*o**4 - 13*o**3 + 3*o**2 - 6*o + 6. Let z(g) = g**5 + g**3 + g - 1. Let f(u) = x*z(u) + y(u). Solve f(m) = 0.
0, 1, 3
Let z = 354428 - 1063282/3. Let b be 1/(1/(-2) - -1). Factor 4/3*k**b + 0 - z*k - 2/3*k**3.
-2*k*(k - 1)**2/3
Suppose 0 = 4*j + 2*v - 20, j - 17*v - 15 = -20*v. Suppose 0 = -j*p + 5*f + 7, -6 = -21*p + 18*p + 6*f. Factor 7/2*k**2 + 1/2*k**4 - 9/2*k**3 - p + 9/2*k.
(k - 8)*(k - 1)**2*(k + 1)/2
Determine i so that -567*i + 81*i**4 + 322*i**2 + 3130*i**3 - 1045*i**2 - 54 + 3164*i**3 - 6231*i**3 = 0.
-3, -2/3, -1/9, 3
Let c = 3548 + -3545. Let y(t) be the first derivative of -35/18*t**c + 55/12*t**2 - 25/6*t + 5/24*t**4 - 19. Determine j, given that y(j) = 0.
1, 5
Let t = -677 + 677. Let v be (-664)/(-72) - (t - -9). Solve -98/9 - v*a**2 + 28/9*a = 0.
7
Let z(c) = 10*c**3 + 23*c**2 + 23*c - 41. Let k(n) = 3*n**3 + n**2 + 2*n - 1. Let f(p) = 6*k(p) - 2*z(p). What is h in f(h) = 0?
-19, -2, 1
Let i = -304 + 305. Suppose -21 = 3*y - 5*f - i, 3*f - 12 = -5*y. Factor 3/7*r + 6/7*r**2 + y + 3/7*r**3.
3*r*(r + 1)**2/7
Let n(l) = 6*l**2 - 1. Let u(s) = -s**3 - 79*s**2 + 613*s - 518. Let v(a) = 3*n(a) - u(a). Suppose v(k) = 0. Calculate k.
-103, 1, 5
Let x = -44/15821 + -147672994/79105. Let g = x + 1867. Determine p, given that g*p + 0 + 1/5*p**5 + 6/5*p**3 + 4/5*p**2 + 4/5*p**4 = 0.
-1, 0
Let y(r) be the first derivative of -r**6/27 - 2*r**5/9 + 187*r**4/18 + 1162*r**3/27 + 130*r**2/3 - 4481. Find j such that y(j) = 0.
-15, -2, -1, 0, 13
Let f = -14413/207 + 1604/23. Let c(a) be the third derivative of -f*a**4 + 1/90*a**5 + 1/3*a**3 + 0 + 23*a**2 + 0*a. Solve c(o) = 0 for o.
1, 3
Solve -15*h**5 - 245352/5*h**3 + 0 - 200448/5*h**2 + 1728*h**4 - 40368/5*h = 0 for h.
-2/5, 0, 58
Factor 138080 + 861920 + 233*y**2 - 2000*y - 232*y**2.
(y - 1000)**2
Factor 97/3*y - 98/3 + 1/3*y**2.
(y - 1)*(y + 98)/3
Let o(q) be the second derivative of -q**5/60 + q**4/8 - q**3/3 + 40*q**2 + 3*q + 3. Let t(v) be the first derivative of o(v). Factor t(h).
-(h - 2)*(h - 1)
Let z(d) be the first derivative of 1/5*d**5 - 78 + 0*d**2 + 0*d - 7*d**4 - 29/3*d**3. Factor z(o).
o**2*(o - 29)*(o + 1)
Suppose 5*g - 2*o + 9 = 6*g, -5*o - 15 = -5*g. Let a = 37686994/284277 - -2/40611. What is j in 64/7 + 12*j**4 + 256/7*j - 352/7*j**2 + 216/7*j**g - a*j**3 = 0?
-2, -2/3, -2/9, 1/2, 2
Suppose 1448*a + 1471 = -391*a + 5149. Factor 3*n - 35/4 - 1/4*n**a.
-(n - 7)*(n - 5)/4
Let d(v) be the first derivative of -v**7/210 + v**6/30 + 3*v**5/10 + 5*v**4/6 - v**3 + 7*v**2/2 - 8. Let y(h) be the third derivative of d(h). Factor y(z).
-4*(z - 5)*(z + 1)**2
Let c be (1/(-2))/(2/(-11) - (-182)/84656*72). Find j such that 5*j**4 + 0 + 1/2*j**5 + 30*j**2 + 18*j + c*j**3 = 0.
-3, -2, 0
Let y(o) be the second derivative of -o**5/10 - 17*o**4/6 - 56*o**3/3 - 52*o**2 + 2*o + 24. What is u in y(u) = 0?
-13, -2
Solve -16/3 - 6*v**2 - 11*v - 1/3*v**3 = 0 for v.
-16, -1
Let o = -109 - -124. Factor -4*b**3 + o*b**2 + 6*b - 11*b**4 + 3*b**3 - 5*b**3 - 4*b**4.
-3*b*(b - 1)*(b + 1)*(5*b + 2)
Let h(i) = i + 17. Let r(p) = -p**2 + 93*p - 269. Let o(n) = -55*h(n) + 5*r(n). Factor o(j).
-5*(j - 76)*(j - 6)
Solve 5/3*g**2 - 210 - 65*g = 0 for g.
-3, 42
Suppose 3*b - 4*y - 151 = 0, 4*b - 2*y - 271 + 73 = 0. Suppose -161*w + 5*w**2 + b*w + 47*w + 60 = 0. What is w?
1, 12
Let h(y) be the first derivative of -392/3*y - 2/9*y**3 + 57 - 28/3*y**2. Suppose h(o) = 0. Calculate o.
-14
Suppose j - 3*l + 13 = 3*j, -2*j - 4*l + 16 = 0. Factor -38*n + 26*n - 6*n**4 - 13*n**4 + 24*n**4 - 48*n + 45 - 10*n**j + 20*n**3.
5*(n - 1)**2*(n + 3)**2
Let b(v) be the third derivative of -9*v**6/70 - 39*v**5/35 - 7*v**4/8 - 2*v**3/7 - 5*v**2 + 61. Find g such that b(g) = 0.
-4, -1/6
Let k(n) = -33*n**2 - 561*n + 6927. Suppose 0 = -5*d + 33*d + 420. Let q(w) = 9*w**2 + 140*w - 1732. Let c(z) = d*q(z) - 4*k(z). Suppose c(h) = 0. Calculate h.
24
Let c be 91/((-364)/8) + 6/((-18)/(-7)). Find s, given that 0 - c*s**5 + 0*s**2 + 0*s**4 - 1/3*s + 2/3*s**3 = 0.
-1