 + 547*o + 1613. Let s(y) = y**4 - 2*y**3 - 2*y**2 + y - 1. Let z(t) = 7*s(t) - v(t). Factor z(i).
5*(i - 3)*(i + 3)*(i + 6)**2
Let v = 2413/3 + -4823/6. Let g = 67 + -265/4. Let -v - g*c**4 + 3/4*c + 17/4*c**2 - c**5 + 13/4*c**3 = 0. What is c?
-1, 1/4, 2
Let g(b) = 3*b**3 - 3*b**2 - 3*b + 15. Let u(z) = -z**2 - z + 1. Let t = 71 - 56. Let m(l) = t*u(l) - g(l). Determine i, given that m(i) = 0.
-2, 0
Let y(k) be the first derivative of -121*k**2 - 35/34*k**4 + 286/17*k**3 + 5324/17*k + 2/85*k**5 + 21. Solve y(i) = 0 for i.
2, 11
Suppose 27 = -26*j + 23*j. Let r be (-6)/j*9/3. Solve r - 2 - 39*w - 2*w**2 + 35*w = 0.
-2, 0
Let d(s) = 3*s + 23. Let z = -47 - -40. Let w be d(z). Factor 2*v**2 + 16*v - 16 - 4*v**2 - w*v**2.
-4*(v - 2)**2
Let g = -147019/2 + 73523. Factor 3/4*o**2 - g - 9/4*o.
3*(o - 6)*(o + 3)/4
Let 2/3*p**2 + 56/3 + 58/3*p = 0. What is p?
-28, -1
Factor 0 + 2/13*f**4 + 0*f + 4616/13*f**3 + 2663432/13*f**2.
2*f**2*(f + 1154)**2/13
Let v(w) = 36*w**2 + 238*w + 304. Let y(k) = k**3 - 2*k**2 + 2. Let q(x) = -v(x) + 2*y(x). Solve q(c) = 0.
-3, -2, 25
Factor -1/5*q**3 - 9*q**2 + 5*q + 100 + 1/5*q**4.
(q - 5)**2*(q + 4)*(q + 5)/5
Let s(k) be the second derivative of k**6/900 + 31*k**3/3 - 79*k. Let v(h) be the second derivative of s(h). Suppose v(z) = 0. Calculate z.
0
Let l(o) = -4*o**2 + 37*o - 16. Let v be l(8). Let i(g) = -8*g + 194. Let x be i(v). Find b, given that 4/3*b**x + 0 + 4/3*b + 1/3*b**3 = 0.
-2, 0
Let d(w) = w**3 - 10*w**2 - 25*w + 2. Let m be d(12). Let k = m - -13. Determine v so that 4*v**2 - 4*v**3 + 6*v**4 - 7*v**3 - 3*v**3 + 4*v**k = 0.
0, 2/3, 1
Determine p so that -28/5*p**2 + 0*p + 0 + 2/5*p**4 - 2*p**3 = 0.
-2, 0, 7
Let l be 36/(-30)*(-20)/6. Suppose -30 - 50 = -l*d. Factor 0*t**2 + 8*t + t**2 + 10*t - d*t + 1.
(t - 1)**2
Find u such that -10/19*u + 4/19*u**2 - 104/19 = 0.
-4, 13/2
Let m be (-3)/(-6)*2*(2 + -2). Suppose j - 4*a = 19, m = 4*j - a - 28 + 12. Find d such that 0 + 0*d**2 + 1/9*d**4 + 0*d**j + 0*d = 0.
0
Let p be -114 - -111 - (-7)/1. Suppose 0*q = 5*q - 25. Factor -30*w**3 + q*w**p - 2*w + 20*w + 45*w**2 - 60 + 2*w.
5*(w - 3)*(w - 2)**2*(w + 1)
Let d be (16/3)/2*(-72)/48. Let p be 3*((-18)/(-22) - d/22). Solve v**2 - 74 - v + v**p - 2*v**2 + 75 = 0.
-1, 1
Let m(b) be the first derivative of -108 - 2/5*b**5 - 1/2*b**4 - 16*b + 4*b**3 + 4*b**2. Let m(r) = 0. Calculate r.
-2, 1, 2
Let a(m) be the first derivative of 5*m**3/9 - 95*m**2/6 - 250*m + 145. Factor a(x).
5*(x - 25)*(x + 6)/3
Let c be 583/212 - (-3)/12. Let u(w) be the second derivative of 1/10*w**5 + 0 + 4/27*w**c + 0*w**2 - 16*w + 2/9*w**4. Suppose u(k) = 0. What is k?
-2/3, 0
Suppose -2/9*q**3 - 2/9*q**2 - 112/9 + 68/9*q = 0. Calculate q.
-7, 2, 4
Let v be -4 + (-105)/(-28) + (-2105)/(-20). Let s be 10 - v/7 - -8. Solve 5/4*z**4 + 5/4*z**s - 5/4*z**2 - 5/4*z + 0 = 0.
-1, 0, 1
Let u(z) be the first derivative of -7*z - 1/30*z**3 + 1/120*z**4 - 1 + 0*z**2 + 1/200*z**5. Let y(g) be the first derivative of u(g). Factor y(f).
f*(f - 1)*(f + 2)/10
Suppose -18*s**3 + 3/4*s**5 + 0 - 9/4*s**4 + 21*s**2 + 36*s = 0. Calculate s.
-4, -1, 0, 2, 6
Suppose 41*z - 204762 = -616*z + 114540. Factor 21/2 - 600*h**3 - 96*h**4 - 249/2*h + z*h**2.
-3*(h + 7)*(4*h - 1)**3/2
Suppose 0 = 2*z + 5*t + 410, -t = 4*t. Let h be 492/z - (-3 - 0). Find y, given that -36/5*y - h*y**4 - 12/5 - 18/5*y**3 - 39/5*y**2 = 0.
-2, -1
Let p(m) be the third derivative of m**5/330 + 35*m**4/132 + 98*m**3/11 + 212*m**2. Factor p(u).
2*(u + 14)*(u + 21)/11
Let g(c) be the first derivative of 3*c**6/4 - 87*c**5/10 + 9*c**4 + 124*c**3 + 36*c**2 - 216*c - 2968. Let g(h) = 0. What is h?
-2, -1, 2/3, 6
Let k be (-11 - 0)/(2354/(-428)). Factor -2/7*y**3 + 6/7*y + 0 + 4/7*y**k.
-2*y*(y - 3)*(y + 1)/7
Let s(q) be the second derivative of 0*q**2 + 171*q + 0 - 1/10*q**5 + 1/42*q**7 - 2/15*q**6 + 3/2*q**3 + q**4. Let s(t) = 0. Calculate t.
-1, 0, 3
Let a(u) = -4*u**4 - 6*u**3 + u**2 - 11*u - 5. Let b(c) = 5*c**4 + 8*c**3 - c**2 + 12*c + 6. Let d(s) = 6*a(s) + 5*b(s). Factor d(k).
k*(k - 1)*(k + 2)*(k + 3)
Let w(n) be the third derivative of 38/27*n**3 + 0 + 170*n**2 - 1/135*n**5 + 0*n + 1/3*n**4. Find k, given that w(k) = 0.
-1, 19
Determine q so that -56/3*q - 6*q**3 + 16/3 - 68/3*q**2 = 0.
-2, 2/9
Let j(t) = 10*t**2 + 9*t**2 + 23*t**3 - 20*t + 19*t**3 - 41*t**3 + 5. Let f be j(-20). Solve 0*z - 7/3*z**2 + z**4 + 1/3*z**3 - 1/3*z**f + 4/3 = 0 for z.
-1, 1, 2
Factor -4/5*m**4 - 28/5*m**3 + 72/5*m**2 + 0*m + 0.
-4*m**2*(m - 2)*(m + 9)/5
Suppose -208 = -472*a + 537 + 263 - 64. Suppose 1/2*u**a - 7 + 5/2*u = 0. Calculate u.
-7, 2
Suppose -x + 252 = -50*h, -49*x - 1 = -52*x - h. Factor 3/11*q**4 - 1/11*q**5 - 2/11*q**3 + 3/11*q - 2/11*q**x - 1/11.
-(q - 1)**4*(q + 1)/11
Let f(n) = 16*n**2 + 108*n + 32. Let s(v) = 12*v**2 - 27 - 11*v**2 + 29. Let i(z) = f(z) + 4*s(z). Factor i(t).
4*(t + 5)*(5*t + 2)
Let m = 7842 + -7839. Let k = -222 - -2009/9. What is x in 1 - 1/9*x**m + k*x**2 - 19/9*x = 0?
1, 9
Let u(p) be the second derivative of -p**4/42 + 820*p**3/21 - 168100*p**2/7 - 8*p - 60. Let u(g) = 0. Calculate g.
410
Let w be (4 - (-33)/(-7))*-7. Suppose -24 = -w*m - 14. Determine o, given that -o**3 - 3*o**3 - 2*o**m - o**5 + 4*o**3 + 2*o**4 - 3*o + 4*o**3 = 0.
-1, 0, 1, 3
Let f = 4163186/5 - 832624. Find j, given that 0 - 66/5*j**2 + 136/5*j**3 + 4/5*j - 28*j**5 + f*j**4 = 0.
-1, 0, 1/14, 2/5, 1
Let c be 2/7 - (-6)/336*54. Let t(g) be the first derivative of -5/12*g**3 - 5/4*g**2 + 14 - c*g. Determine i, given that t(i) = 0.
-1
Solve 2/3*z**2 - 2380/3*z + 708050/3 = 0 for z.
595
Let n(a) be the second derivative of -a**5/5 + 306*a**4 - 187272*a**3 + 57305232*a**2 - 3*a - 20. Let n(t) = 0. Calculate t.
306
Suppose 15*q + 22*q = -2*q + 1170. Let a(p) be the third derivative of 0*p - q*p**3 + 3*p**2 - 1/12*p**5 + 5/2*p**4 + 0. Factor a(v).
-5*(v - 6)**2
Let j be 7/((-98)/(-50)) + 44/(-77)*1. Let k(c) be the second derivative of 3/10*c**6 - 1/4*c**4 - 16*c + 3/4*c**5 + 0 - 5/2*c**j - 3*c**2. Factor k(w).
3*(w - 1)*(w + 1)**2*(3*w + 2)
Suppose 16*h + 1383 + 1529 = 0. Let p be (-3 - 518/h) + (-360)/(-143). Find i such that 32/11*i**2 + 10/11*i**3 + p*i + 4/11 = 0.
-2, -1, -1/5
Let v be 8/(-25)*(-6840)/2052 - ((-5)/(-3) + -1). Factor -8/5 - 2*b - v*b**2.
-2*(b + 1)*(b + 4)/5
Let k(i) be the third derivative of 49*i**6/10 + 182*i**5/3 + 254*i**4/9 + 16*i**3/3 + i**2 + 92. What is p in k(p) = 0?
-6, -2/21
Let c be 1/(0 + (-6)/(-90)). Let n be 8/(-44) - c/(-22). Suppose -1/4*s**2 + 0 + n*s = 0. Calculate s.
0, 2
Let c(x) = -3*x**4 + 32*x**3 - 88*x**2 + 86*x - 33. Let p(h) = -h**4 + h**2 - h - 2. Let n(m) = -c(m) + 2*p(m). Factor n(o).
(o - 29)*(o - 1)**3
Suppose -163*p**5 - 21*p**3 - 60*p**2 - 36*p + 89*p**5 + 77*p**5 + 6*p**4 = 0. What is p?
-2, -1, 0, 3
Let n = 68992 - 206974/3. Factor -14/3*m + 4*m**2 + n*m**3 + 0.
2*m*(m - 1)*(m + 7)/3
Let y(w) = 2*w**2 + w - 7. Let m be y(5). Factor -46*s - m*s - 112 - 5*s**2 - 18 + 169*s.
-5*(s - 13)*(s - 2)
Factor 433*k + 92 - 264*k + 4 + 540*k**2 + 135*k + 164*k - 75*k**3.
-3*(k - 8)*(5*k + 2)**2
Let m(r) = 11*r**2 - 10*r. Let f = -9 + 15. Let s(l) = 34*l + 36*l - 110*l + 10*l**2 + 30*l. Let v(g) = f*s(g) - 5*m(g). Solve v(x) = 0 for x.
0, 2
Let r(i) be the first derivative of 5*i**3/3 + 55*i**2/2 + 50*i - 928. Factor r(j).
5*(j + 1)*(j + 10)
Let t(k) = -13*k**2 - 23*k - 8. Let s be t(-1). Determine q, given that -3 + 7/5*q**s + 7/5*q + 1/5*q**3 = 0.
-5, -3, 1
Let d(l) be the third derivative of -l**8/448 - 3*l**7/280 - l**6/160 + 3*l**5/80 + l**4/16 + 137*l**2 - 3*l. Suppose d(v) = 0. Calculate v.
-2, -1, 0, 1
Let v(j) be the third derivative of 33 + 2*j**2 + 1/15*j**5 + 392/3*j**3 + 0*j - 14/3*j**4. Let v(i) = 0. What is i?
14
Let f be (-42)/84*3*-1*(-25)/(-3). Let b(l) be the second derivative of -f*l**3 + 5*l**4 + l**5 + 0 + 15*l + 10*l**2. Determine s, given that b(s) = 0.
-4, 1/2
Suppose 8*d - 66 = 2*d - 3*i, 16 = -4*i. Let x(j) be the second derivative of 3*j + 0*j**2 + 3/4*j**4 - 3/40*j**5 - 1/20*j**6 + d + 0*j**3. Solve x(h) = 0.
-3, 0, 2
Let k(v) = -1141*v**2 + 2280*v + 6. Let b be k(2). Factor -4*o + 1/3*o**b + 9.
(o - 9)*(o - 3)/3
Suppose 22*o - 15*o - 21*o + 28 = 0. Let v(t) be the second derivative of -3*t**4 - 25*t**o - 40/3*t**3 - 8/25*t**5 + t + 0