 1)*(q + 297)**2/3
Factor 5*f**2 + 960*f**3 - 15*f**2 - 479*f**3 - 4*f**2 - 482*f**3.
-f**2*(f + 14)
Solve 4*s**2 - 80/7*s - 12/7 = 0 for s.
-1/7, 3
Let f(l) = 4*l**2 + 2810*l + 487207. Let y(t) = 20*t**2 + 14056*t + 2436036. Let i(v) = 16*f(v) - 3*y(v). Suppose i(q) = 0. What is q?
-349
Let u = 563934 - 563932. Determine y, given that 1/3*y**5 + y**4 + 1/3*y - 2*y**u - 2/3*y**3 + 1 = 0.
-3, -1, 1
Let z(c) be the third derivative of 0*c**4 + 1/180*c**6 + 0*c**3 - 1/120*c**5 - 4*c**2 + 0*c - 1 - 1/1260*c**7. Factor z(j).
-j**2*(j - 3)*(j - 1)/6
Suppose 0 = u - 3*i - 1107, 3*u - 38*i = -40*i + 3321. Let d be ((-4)/3)/((-492)/u). Determine t so that 1/2*t**2 - 3/4 + 1/4*t**4 + t - t**d = 0.
-1, 1, 3
Let h(n) be the first derivative of 2*n**5/65 + 2*n**4/13 + 10*n**3/39 + 2*n**2/13 + 889. Determine t so that h(t) = 0.
-2, -1, 0
Factor 338/9 + 1/9*v**2 + 113/3*v.
(v + 1)*(v + 338)/9
Let y(f) be the third derivative of -f**8/84 + 2*f**7/105 + 6*f**6/5 - 124*f**5/15 + 56*f**4/3 - 637*f**2. Suppose y(u) = 0. What is u?
-7, 0, 2, 4
Let b(h) be the first derivative of h**6/42 + 3*h**5/5 - 27*h**4/14 - 184*h**3/21 + 2913. What is y in b(y) = 0?
-23, -2, 0, 4
Let y = -176272 - -1233912/7. Determine l so that 2/7*l**3 - 12/7 - 22/7*l - y*l**2 = 0.
-1, 6
What is y in -2*y - 2*y**4 - 6397*y**2 + 19175*y**2 - 6390*y**2 - 6394*y**2 - y**3 - 5*y**3 = 0?
-1, 0
Determine k so that 31104/7 + 1/7*k**4 + 9504/7*k + 1080/7*k**2 + 54/7*k**3 = 0.
-18, -12
Let z(n) be the first derivative of -n**6/18 - 98*n**5/15 + n**4/12 + 98*n**3/9 - 1085. Determine y, given that z(y) = 0.
-98, -1, 0, 1
Suppose -1/4*w**2 - 39/4*w - 56 = 0. Calculate w.
-32, -7
Let r = 191679 - 191674. Factor 5*p - 3/4 - r*p**3 + 3/4*p**2.
-(p - 1)*(p + 1)*(20*p - 3)/4
Let d(j) be the second derivative of -99*j + 39/40*j**5 - 3*j**2 + 0 + 1/7*j**7 - 7/4*j**3 + 7/4*j**4 - j**6. Solve d(u) = 0 for u.
-1/2, 1, 4
Let s(n) be the first derivative of 2/69*n**3 + 1152/23*n - 89 - 48/23*n**2. Factor s(r).
2*(r - 24)**2/23
Suppose 86*q + 2760 = 155*q. Let m(c) be the first derivative of 0*c**2 + 8/21*c**3 - 3/7*c**4 + q + 0*c. Factor m(t).
-4*t**2*(3*t - 2)/7
Let 164/3 - 2/3*s**3 + 76/3*s**2 + 242/3*s = 0. What is s?
-2, -1, 41
Let d(m) be the second derivative of 0*m**3 + 9/5*m**2 - 1/30*m**4 + 0 - 137*m. Determine s so that d(s) = 0.
-3, 3
Factor 2*j**3 + 91241532225 + 75258923*j - 5980499*j + 13787*j**2 + 6601*j**2 - 12772170641.
2*(j + 3398)**3
Let -3/4*h**2 + 2973*h - 2946243 = 0. What is h?
1982
Let w(i) be the second derivative of -5/18*i**3 + 1/12*i**5 - 1/90*i**6 + 0*i**2 + 0 + 1/36*i**4 + 83*i. Let w(c) = 0. Calculate c.
-1, 0, 1, 5
Let u be (4 - (-19)/(-10))/(12/(-432)*-18). Factor -u*o + 9/5 - 3/5*o**3 + 3*o**2.
-3*(o - 3)*(o - 1)**2/5
Let d(l) be the second derivative of 1/84*l**7 + 0*l**2 - 11*l - 1/24*l**4 + 0 + 0*l**3 - 1/40*l**5 + 1/60*l**6. Determine z so that d(z) = 0.
-1, 0, 1
Let h be 8700/3000 - 3/(-5). Let d(g) be the third derivative of 3/20*g**5 + 0 - 5/2*g**4 - 19*g**2 + 0*g - h*g**3. Suppose d(m) = 0. Calculate m.
-1/3, 7
Let a(n) = 23*n - 235. Let r be a(10). Let h(v) = 40*v**2 - 420*v + 990. Let j(f) = -39*f**2 + 420*f - 992. Let y(u) = r*j(u) - 6*h(u). Factor y(p).
-5*(3*p - 14)**2
Suppose -509 = 6*s - 11831. Let n = -1885 + s. Factor 0 + 4/13*p**n + 2/13*p + 2/13*p**3.
2*p*(p + 1)**2/13
Suppose 1 = -g, -5*z - g + 9 = -0*g. Let k(n) = 3*n**3 - 11*n - 11. Let q be k(5). Let 2 - 307*i**2 + 6*i + 2 + q*i**z = 0. Calculate i.
-2, -1
Factor 56*f**2 + 25 + 167 + 81265*f + 2*f**3 - 81065*f.
2*(f + 2)**2*(f + 24)
Let t(w) = -w**2 - 288*w - 6809. Let s be t(-26). Solve -12/5*g**s + 18/5*g**2 - 8/5*g + 2/5*g**4 + 0 = 0.
0, 1, 4
Let y(p) be the first derivative of 5/24*p**4 + 41 - 1/9*p**3 + 0*p**2 + 0*p + 1/36*p**6 - 2/15*p**5. Find b such that y(b) = 0.
0, 1, 2
Suppose 5*h - 4*n = 9*h, -2*h - 3*n - 2 = 0. Determine m so that -4*m**3 - 92 + 92 + h*m**2 - 2*m**4 + 4*m + 0*m = 0.
-2, -1, 0, 1
Let c(u) be the third derivative of 0 - 1/5*u**5 - 23/60*u**6 + 0*u**3 + 52/315*u**7 - 17*u - 1/56*u**8 + 2*u**2 + 0*u**4. Suppose c(b) = 0. Calculate b.
-2/9, 0, 3
Solve -88/5*o**2 + 0 + 4*o**3 + 64/5*o + 4/5*o**4 = 0.
-8, 0, 1, 2
Determine m, given that 140*m**3 + 43*m**4 + m**5 - 15*m**4 + 17*m**4 + 207*m**2 + 15*m + 67*m + 29*m**3 = 0.
-41, -2, -1, 0
Let g = 6880 - 6876. Let k(i) be the third derivative of -1/21*i**g - 1/210*i**5 + 0 + 0*i - 25*i**2 + 5/21*i**3. Determine x so that k(x) = 0.
-5, 1
Let q(y) = 151*y**2 - 1306*y + 422482. Let v(g) = 25*g**2 - g - 3. Let c(n) = q(n) - 6*v(n). Solve c(z) = 0.
650
Let g(l) = -4*l**3 + 15*l**2 - 39*l + 19. Let m(f) = 2*f**3 - 14*f**2 + 36*f - 18. Let o(b) = -2*g(b) - 3*m(b). Factor o(a).
2*(a - 1)**2*(a + 8)
Let r be 12/9 - (-8)/12. Suppose c = 5*o - 56, -3*o = -r*o - 3*c. Determine s, given that 3*s**2 - o - 82*s + 82*s = 0.
-2, 2
Let a be (5 - 22/4)*-6. What is g in -10*g**a + 16*g - 2 + 10 - 6*g**2 + 6*g**4 - 2*g**4 = 0?
-1, -1/2, 2
What is c in 4/7 - 8/7*c**4 + 18/7*c**3 + 4/7*c**2 - 18/7*c = 0?
-1, 1/4, 1, 2
Suppose 0 = 9*r + 418 - 2902. Let i = r - 276. Factor i*t + 0 + 12/5*t**4 - 9/5*t**5 + 0*t**2 - 4/5*t**3.
-t**3*(3*t - 2)**2/5
Let f(j) = 59 + 28 - 9 - 21*j + j**2 + 29. Let n be f(13). Factor 1/2*k**5 + 0*k**n - k**4 - 1/2*k + 0 + k**2.
k*(k - 1)**3*(k + 1)/2
Let h(c) = -c**3 - 8*c**2 - 44*c - 83. Let r be h(-3). Let k(o) be the third derivative of 0 - 37*o**2 + 11/3*o**3 + 1/6*o**r + 0*o + 1/330*o**5. Factor k(v).
2*(v + 11)**2/11
Let c(t) be the second derivative of -5*t**4/24 + 435*t**3/2 - 340605*t**2/4 + 2270*t. Solve c(b) = 0 for b.
261
Let s(c) = -5*c**2 - 491*c + 514. Let a(g) = -4*g + 1. Let o(x) = 6*a(x) + s(x). Let o(b) = 0. What is b?
-104, 1
Determine q so that 1944 - 168 + 59*q**3 - 2620*q - 951 + 6*q**3 + 2055 + 460*q**2 = 0.
-144/13, 2
Let u(k) be the third derivative of k**8/168 + 194*k**7/735 + 46*k**6/15 - 584*k**5/105 - 188*k**4/3 + 224*k**3/3 - 301*k**2 - 9. Suppose u(m) = 0. What is m?
-14, -2, 2/7, 2
Let o(i) = -4*i**4 + 54*i**3 - 78*i**2 + 16*i - 8. Let q(l) = 12*l**4 - 162*l**3 + 233*l**2 - 50*l + 22. Let t(k) = 11*o(k) + 4*q(k). Factor t(n).
2*n*(n - 12)*(n - 1)*(2*n - 1)
Let o(m) be the second derivative of m**7/630 + m**6/45 - 2*m**5/5 + 17*m**4/4 - 85*m - 1. Let y(k) be the third derivative of o(k). Factor y(s).
4*(s - 2)*(s + 6)
Let p be 365/(-803) + (5 + -6)/(0 + -3 - -2). Suppose -2/11*t**4 + 6/11*t**3 + 0 - p*t + 2/11*t**2 = 0. What is t?
-1, 0, 1, 3
Let v be (0 + -27)/(2 - 74/38). Let t = -511 - v. Let 0 + 1/7*n**3 + 25/7*n + 10/7*n**t = 0. What is n?
-5, 0
Suppose -183/4*r**2 - 205/2 - 103/4*r**3 + 703/4*r - 7/4*r**4 = 0. What is r?
-82/7, -5, 1
Let i be 6056/(-6813)*18/(-8). Find a such that -3*a**4 + 3*a**i + 3/2*a**3 - 3/2*a**5 + 0 + 0*a = 0.
-2, -1, 0, 1
Let r(x) be the first derivative of 2*x**3/3 - 19*x**2 + 180*x - 1146. Factor r(t).
2*(t - 10)*(t - 9)
Suppose -6 = -5*p + 25*t - 24*t, 0 = 4*t - 16. What is a in 19 + 1 - 21*a + 113*a**2 - p - 122*a**2 = 0?
-3, 2/3
Let s = 2/4179 + 1854/6965. Let r(x) be the first derivative of -5 + 0*x**4 + 0*x - 4/9*x**3 + 0*x**2 + s*x**5. Solve r(y) = 0 for y.
-1, 0, 1
Suppose -155*u**2 + 346*u**2 - 10*u**3 - 2*u**4 - 179*u**2 = 0. What is u?
-6, 0, 1
Let r(p) be the first derivative of -27*p - 7/30*p**6 + 21 - 2*p**5 + 8*p**2 - 16/3*p**3 - 6*p**4. Let i(f) be the first derivative of r(f). Factor i(u).
-(u + 2)**3*(7*u - 2)
Let c(u) be the first derivative of -17/2*u**4 - 64 + 40*u - 59*u**2 - 2/5*u**5 + 38*u**3. What is j in c(j) = 0?
-20, 1
Let a be ((-7)/(-56)*(-27 - (-34 + 15)))/(-7). What is k in -2/7 + a*k**2 - 1/7*k = 0?
-1, 2
Let j be (32/(-320))/((-17)/136). Find z, given that -6/5 - 14/5*z - j*z**2 = 0.
-3, -1/2
Let z be 21408/1632 + (-55)/5. Factor -2/17*p**2 + z - 6/17*p.
-2*(p - 3)*(p + 6)/17
Let s(j) be the second derivative of -j + 2/21*j**4 - 2/7*j**2 - 1/147*j**7 + 1/35*j**5 - 1/21*j**3 - 5 - 2/105*j**6. Suppose s(z) = 0. What is z?
-2, -1, 1
Let p(k) be the first derivative of 2*k**5/5 - 81*k**4 - 218*k**3 - 164*k**2 + 137. Suppose p(j) = 0. Calculate j.
-1, 0, 164
Let u be ((-192)/63 - -4)*91/78. Find v such that -8/9*v + 0 + u*v**2 - 2/9*v**3 = 0.
0, 1, 4
Factor 65/4*y**3 + 2345/4*y - 635/2*y**2 - 285.
5*(y - 1)**2*(13*y - 228)/4
Let n be (-196)/4