6*q - 731*q + 5 + 371*q.
(q + 3)**2
Let r = 301 + 1827. Let j = r + -2124. Factor 0 - 1/2*h + 1/2*h**3 - 1/4*h**2 + 1/4*h**j.
h*(h - 1)*(h + 1)*(h + 2)/4
Let h = 8/4491 - -22423/17964. Let v(i) be the first derivative of 1/8*i**4 - 6 - h*i**2 + 1/10*i**5 - 1/2*i**3 - i. Factor v(l).
(l - 2)*(l + 1)**3/2
Let j(i) = i**3 - 42*i**2 + 71*i + 93. Let f(a) = a**2 + 6. Let l(p) = -3*f(p) - j(p). Find w such that l(w) = 0.
-1, 3, 37
Let z(b) be the second derivative of 0 + 1/35*b**5 + 0*b**2 + 24*b - 1/7*b**3 + 1/210*b**6 + 1/84*b**4. Factor z(y).
y*(y - 1)*(y + 2)*(y + 3)/7
Solve -875/4 - 925/8*f - 135/8*f**2 + 1/8*f**4 + 1/8*f**3 = 0 for f.
-5, 14
Let w(u) be the first derivative of 3 + 0*u - 22/3*u**4 + 15/2*u**2 - 8*u**3 - 7/15*u**5. Let x(f) be the second derivative of w(f). Solve x(g) = 0.
-6, -2/7
Let d(n) be the second derivative of n**5/10 - 17*n**4/14 + 8*n**3/3 - 12*n**2/7 - 1126*n. Solve d(h) = 0 for h.
2/7, 1, 6
Let a(i) be the first derivative of 88 - 8*i**4 + 2/3*i**6 - 4*i**5 + 0*i + 0*i**2 + 64*i**3. Solve a(l) = 0.
-3, 0, 4
Let u(h) = -16*h**3 + 38404*h**2 + 77164*h + 38716. Let n(o) = 3*o**3 - 6983*o**2 - 14030*o - 7039. Let z(y) = 28*n(y) + 5*u(y). Suppose z(g) = 0. What is g?
-1, 878
Suppose 59*w + 61666 = -11848. Let p = w + 1248. Determine i so that -4/7*i**3 - 3/7 + 10/7*i + 9/7*i**p = 0.
-1, 1/4, 3
Let s(b) be the second derivative of 1/225*b**6 + 0*b**5 + 14 - 1/90*b**4 + 0*b**2 + 0*b**3 + b. Factor s(k).
2*k**2*(k - 1)*(k + 1)/15
Let j(l) be the first derivative of 2*l**5/5 - 21*l**4/2 - 46*l**3 - 71*l**2 - 48*l + 235. Let j(v) = 0. What is v?
-1, 24
Let j be 4/((210/126)/(10/(-36)) - -40). Factor 12/17*w + 14/17 - j*w**2.
-2*(w - 7)*(w + 1)/17
Suppose z + 4*z - 5*g - 25 = 0, 4*z - 3*g - 17 = 0. Let m = 405/947 + 6/6629. Suppose m*t**z + 3/7 - 10/7*t = 0. Calculate t.
1/3, 3
What is t in 160/3*t**2 - 4/9*t**3 + 0 + 0*t = 0?
0, 120
Solve -180*a**2 - 457*a**2 - 125*a**4 - 379*a + 64*a - 458*a**2 - 1025*a**3 = 0 for a.
-7, -3/5, 0
Let i(c) be the first derivative of 9126*c**5/25 - 897*c**4 - 1864*c**3/45 - 8*c**2/15 + 9389. Solve i(u) = 0.
-2/117, 0, 2
Solve -7739*a**4 + 15463*a**4 - 1120*a**2 - 7729*a**4 - 155*a**3 + 1280*a = 0.
-16, 0, 1
Let i = -40 - -401/10. Suppose -5*v = w + 255 - 265, -v + w + 2 = 0. Factor -49/10 - 7/5*m - i*m**v.
-(m + 7)**2/10
Suppose -336*a + 680 = -130*a - 138*a. Suppose -6 + 1/2*i**3 - 9/2*i**2 + a*i = 0. What is i?
1, 2, 6
Let i be -5 - (0 - 0 - (260/(-150) + 7)). Let j(q) be the third derivative of 9*q**2 - i*q**3 + 0*q - 1/150*q**6 - 1/6*q**4 - 4/75*q**5 + 0. Factor j(f).
-4*(f + 1)**2*(f + 2)/5
Suppose 20 = 103*f - 104*f. Let v be (-4)/f + 8/60. Factor 8/3*r + 4 - 1/3*r**3 - v*r**2.
-(r - 3)*(r + 2)**2/3
Let q(s) be the first derivative of -s**4 + 4/3*s**3 + 166 + 2*s**2 - 4/5*s**5 + 0*s. Find x, given that q(x) = 0.
-1, 0, 1
Let g(m) = m**2 - 6*m + 4. Let h be g(6). Suppose h*d = -3*f - 2*f + 13, -3*f = -3*d + 3. Factor -3*a**d - a**2 + 4*a - 2*a + 2*a**2.
-2*a*(a - 1)
Let o(r) be the second derivative of r**7/210 - r**6/30 + r**5/10 - r**4/6 + 5*r**3 + r. Let d(x) be the second derivative of o(x). Factor d(a).
4*(a - 1)**3
Let n be 3/(3 - (-40)/(-15))*2*(-13)/(-156). Suppose 33/2*z**2 + 7/2*z**3 - n*z**4 + 5 + 33/2*z = 0. Calculate z.
-1, -2/3, 5
Suppose 360 = 342*v - 17 - 307. Find g, given that -7/5*g**v + 6/5*g**3 + 8/5 - 6/5*g - 1/5*g**4 = 0.
-1, 1, 2, 4
Let u(a) = -27*a + 366. Let x be u(-6). Let m be 2/9*432/x. Solve -10/11*b**4 + m*b**5 + 8/11 + 2/11*b**2 + 14/11*b**3 - 16/11*b = 0 for b.
-1, 1, 2
Let g = -5806 - -5806. Let t(p) be the first derivative of 19 + g*p**2 - 1/8*p**4 + 7/6*p**3 + 0*p. Find l such that t(l) = 0.
0, 7
Let d(s) = -16*s - 668. Let o be d(-40). Let t be (-133)/o + -5 - (-63)/28. Determine z, given that -178/7*z**t - 24/7*z**3 - 66/7*z + 4 = 0.
-7, -2/3, 1/4
Let s(z) = -77*z**2 + 265*z - 127. Let m(w) = 41*w**2 - 133*w + 64. Let h(f) = 5*m(f) + 2*s(f). Factor h(a).
3*(a - 2)*(17*a - 11)
Let i(n) be the first derivative of -15/4*n**2 + 0*n + 5/4*n**4 - 5/12*n**3 - 1/4*n**5 - 190. Let i(w) = 0. Calculate w.
-1, 0, 2, 3
Suppose 0 = -5*x + 5*m + 160, -5*x - m + 5*m + 158 = 0. Let n be (-13)/(65/x) + 8. Factor -2 - 2/3*s**n + 8/3*s.
-2*(s - 3)*(s - 1)/3
Suppose 10*m + 11*m - 5*m = 3*m. Let w(a) be the second derivative of m + 3/2*a**4 - 27/2*a**2 + 1/30*a**6 + 2/5*a**5 + 5*a + 0*a**3. Factor w(q).
(q - 1)*(q + 3)**3
Let y(z) be the third derivative of z**5/20 + 5*z**4/2 - 125*z**3/2 + 1588*z**2. Factor y(p).
3*(p - 5)*(p + 25)
Let g(a) = 4*a**4 + a**2 - a - 1. Let h(q) = -5*q**5 + 390*q**4 - 4800*q**3 - 290*q**2 + 4785*q - 20. Let p(c) = 20*g(c) - h(c). Find f, given that p(f) = 0.
-1, 0, 1, 31
Suppose -183*u = -186*u + 9. Let a(k) be the first derivative of 0*k + 4/35*k**5 - 4/21*k**u - 23 + 0*k**2 + 1/14*k**4 - 1/21*k**6. What is p in a(p) = 0?
-1, 0, 1, 2
Let x(o) = o - 8. Let z be x(8). Let 20 - 32 + l - l**3 + z*l + 3*l + 3*l**2 = 0. What is l?
-2, 2, 3
Let f(m) be the third derivative of m**5/30 - 105*m**4/2 + 629*m**3/3 - 2*m**2 - 4*m - 166. Solve f(c) = 0.
1, 629
Solve -980 - 715/3*p**2 - 2920/3*p + 5/3*p**3 = 0.
-2, 147
Let p(m) be the second derivative of -m**5/190 + 7*m**4/57 - 43*m**3/57 + 30*m**2/19 + 315*m - 3. Solve p(x) = 0.
1, 3, 10
Let g(t) be the third derivative of -t**8/112 + 23*t**7/70 - 3*t**6 - 36*t**5/5 + 50*t**2. Let g(n) = 0. What is n?
-1, 0, 12
Suppose 8*u - 8 = 4*s, -5*s + 2 = -30*u + 26*u. Let w(n) be the second derivative of 20/21*n**3 + 50/7*n**s + 0 + 1/21*n**4 - 7*n. Find j such that w(j) = 0.
-5
Let i be 4/((-520)/(-654)) + 13516/(-439270). Let -i*z**2 - 21/2*z + 0 - 1/2*z**3 = 0. Calculate z.
-7, -3, 0
Factor -1/4*b**3 - 15375/4*b - 247/4*b**2 - 15129/4.
-(b + 1)*(b + 123)**2/4
Suppose 27*z - 40 = 7*z. Find v such that -7 - z + 8*v - 38*v - 9*v**2 = 0.
-3, -1/3
Suppose 3 = -2*r + 3*r, -a + 2*r = -4. Let h be ((-15)/a)/(6/(-20)). Determine p so that -3*p**h + p**4 - 5*p**4 - 5*p**4 + 9*p**2 + 2*p**3 - 5*p**3 + 6*p = 0.
-2, -1, 0, 1
Let c = -191 + 119. Let k = -51 - c. Let -5*s**2 + 48*s - 45*s**3 - 20*s**2 + s**2 - 3*s**5 + k*s**4 + 3*s**4 = 0. What is s?
-1, 0, 1, 4
Let i be 4/1*75/60. Let p(k) = 13*k**3 - 5*k**2 + 4*k + 4. Let y(b) = 14*b**3 - 6*b**2 + 5*b + 5. Let u(g) = i*p(g) - 4*y(g). Factor u(n).
n**2*(9*n - 1)
Let w(a) be the first derivative of a**5 + 145*a**4 + 7200*a**3 + 112000*a**2 - 1280000*a + 3516. Determine r so that w(r) = 0.
-40, 4
Let 541*f**3 - 17761*f - 38685*f + 57122 - 674*f**2 - 356*f**3 - 187*f**3 = 0. Calculate f.
-169, 1
Let z(t) = -3*t**3 - 488*t**2 - 60514*t. Let h(w) = 7*w**3 + 974*w**2 + 121027*w. Let k(g) = -6*h(g) - 15*z(g). Find b such that k(b) = 0.
-246, 0
Let s be 14 - (14 + (-30)/5) - (-3)/(-5). Factor 6 - s*a - 3/5*a**2.
-3*(a - 1)*(a + 10)/5
Let a be 5 + (5 - (14 + -7)). Suppose 52*v**3 - 20*v**3 - 275*v**2 + 2477*v + 1163*v + 3920 - 27*v**a = 0. Calculate v.
-1, 28
Suppose 0 = 5229*d - 6803 - 3655. Let i be 0 + 4/2 + 0. Factor -1/2 - d*t + 5/2*t**i.
(t - 1)*(5*t + 1)/2
Let z(n) = 30*n**3 - 983*n**2 + 995*n - 7. Let a(s) = 65*s**3 - 1965*s**2 + 1990*s - 15. Let l(v) = 7*a(v) - 15*z(v). Factor l(j).
5*j*(j - 1)*(j + 199)
Suppose -450*o - 2534 = -3434. Find q, given that 5/12*q + o - 1/12*q**2 = 0.
-3, 8
Let y(g) be the first derivative of -g**3/3 - 43*g**2/2 - 653. Factor y(z).
-z*(z + 43)
Factor -4*u**2 + 99*u + 333 + 235 - 375*u.
-4*(u - 2)*(u + 71)
Let m(l) = 10*l + 4. Let x be m(1). Factor x - 2*v**2 + 18 - 14.
-2*(v - 3)*(v + 3)
Let g(c) be the first derivative of -50 + 14/3*c**3 - 261*c**2 + 148*c. Factor g(l).
2*(l - 37)*(7*l - 2)
Let w = 76 + -71. Determine c so that w*c**2 - 13*c - 2 + 25*c - 8*c**2 + 38 = 0.
-2, 6
Let s = -193/153 - -1231/612. Suppose 1/4*o**3 - s*o**2 + 3 - o = 0. Calculate o.
-2, 2, 3
Let z(t) be the first derivative of -t**6/24 + 3*t**5/10 + t**4/16 - 5*t**3/2 + 10713. Suppose z(b) = 0. Calculate b.
-2, 0, 3, 5
Let r = 362 - 360. Let s(o) be the third derivative of 4*o**r - 2/9*o**4 + 0*o + 0 + 8/9*o**3 + 1/45*o**5. Suppose s(h) = 0. Calculate h.
2
Let x = 51 - 65. Let y = 16 + x. Factor 60*f - 4*f**2 + 6*f**2 - 32 + 8*f**y - 13 - 5*f**4 - 20*f**3.
-5*(f - 1)**2*(f + 3)**2
Let j(g) be the second derivative of 2/5*g**3 + 1 - 1/30*g**4 + 224*g - g**2. Find p, gi