 = 0. Calculate v.
-1, 2/7, 1
Let j = 4 - 0. Suppose 0 = -425*f + 424*f - 5*d - 12, -6 = 2*d. Factor -28/5*y**f + 0 + j*y**4 + 8/5*y**2 + 0*y.
4*y**2*(y - 1)*(5*y - 2)/5
Let g be 1/(-5) - (3 - (-84)/30). Let f be 6 + 3/(9/g) + -3. Factor 1/4*k**2 - k + 1/4*k**3 - f.
(k - 2)*(k + 1)*(k + 2)/4
Let q(d) be the second derivative of -d**4/6 - 550*d**3/3 + 3*d + 684. Let q(a) = 0. Calculate a.
-550, 0
Let d(b) be the first derivative of -b**5/10 - 17*b**4/12 + 3*b**3/2 + 62*b - 9. Let n(w) be the first derivative of d(w). Find s, given that n(s) = 0.
-9, 0, 1/2
Let q(h) be the first derivative of h**7/2100 + h**6/300 - h**4/15 + h**3/3 - 30*h + 55. Let c(u) be the third derivative of q(u). Solve c(o) = 0 for o.
-2, 1
Let j(d) = -275*d**2 - 7895*d + 15990. Let m(s) = 37*s**2 + 1128*s - 2284. Let z(w) = -2*j(w) - 15*m(w). Factor z(g).
-5*(g - 2)*(g + 228)
Factor -54 + 3/4*d**3 - 9/4*d**2 - 69/2*d.
3*(d - 9)*(d + 2)*(d + 4)/4
Let h(l) be the first derivative of -l**6/2 - 681*l**5/5 - 18807*l**4/2 + 38986*l**3 - 118335*l**2/2 + 39675*l - 1269. Factor h(m).
-3*(m - 1)**3*(m + 115)**2
Let z(s) = 5*s**3 + 54*s**2 - 1211*s + 1084. Let r(b) = -b**3 - b**2 + b + 18. Let p(h) = -4*r(h) - z(h). Solve p(y) = 0 for y.
-68, 1, 17
Find q, given that 171*q**4 - 234*q**3 - 1273*q**3 - 168*q**4 + 52*q**3 = 0.
0, 485
Factor 0*c - 345 + 181 + 2*c**3 + 22*c + 12*c**2 + 176.
2*(c + 1)*(c + 2)*(c + 3)
Let p = 27002/1563 - -2114/521. Factor p*s**3 + 0 - 1024/3*s**2 + 0*s - 1/3*s**4.
-s**2*(s - 32)**2/3
Suppose -8*h + 431 + 1 = 0. Suppose -2*c + h = 50. Factor -4 + 11/2*f**3 + f**c + 3*f**4 + 1/2*f**5 - 6*f.
(f - 1)*(f + 1)*(f + 2)**3/2
Suppose -4*f + 2*b = -16, 0 = -b + 4*b + 12. What is a in -50*a + 2*a**2 + a**f + 0*a**2 - a**2 = 0?
0, 25
Let x(i) be the third derivative of -1/60*i**5 - 23*i**2 - 2/3*i**3 + 0*i + 0 - 5/24*i**4. Factor x(r).
-(r + 1)*(r + 4)
Let y be 6/(-4) - (-60)/8. Suppose -20 = s - y*s. Find d such that 84*d - 40*d**2 + 3*d**s - 39*d**3 + 15*d**3 + 9*d**4 + 3*d**5 - 36 + d**5 = 0.
-3, 1
Let z(w) be the first derivative of -1/6*w**3 - 211 + 2*w - w**2 + 1/8*w**4. Solve z(n) = 0 for n.
-2, 1, 2
Let b = 37/4 - 9. Let t be 0*(1 - 4)/(-6). Let 0*w**4 - b*w**5 + 0*w + 1/4*w**3 + 0*w**2 + t = 0. What is w?
-1, 0, 1
Let f = 2315 + -2299. Suppose 2*p - 8*h - f = -7*h, 34 = 3*p - 4*h. Factor -27*l**2 + p*l - 1/3.
-(9*l - 1)**2/3
Determine l so that 144*l - 3*l**3 - 7*l**2 + 2*l**2 + 6*l**3 + 53*l**2 - 448 - 7*l**3 = 0.
-4, 2, 14
Let a be (21/((-168)/(-16)))/4*-38*8/(-64). Factor -a*i - 9/8*i**3 + 3/4 + 21/8*i**2 + 1/8*i**4.
(i - 6)*(i - 1)**3/8
Let f(p) = -p**3 + 5*p**2 + 5*p + 5. Let o be f(5). Let i = o + -28. Factor 13*k**i - 35*k**2 + 2*k**3 + 16*k**2.
2*k**2*(k - 3)
Let o(n) = 7*n + 33. Let y be o(7). Let r = y + -79. Find k, given that -1110 + 1125 + 28*k**2 - r*k**3 - 33*k - 7*k**2 = 0.
1, 5
Suppose -3*s + 3*b + 24 = 0, -s + 6*s + 4*b + 5 = 0. Factor 0*a**4 + s*a**3 + 7*a**3 + 5*a**4 - 5*a**3 - 88*a**2 + 100*a + 8*a**2.
5*a*(a - 2)**2*(a + 5)
Let s be ((-5)/2)/((-105)/84). Factor z**4 + 136*z**2 - 24*z + z**4 + 8 - 12*z**3 - 110*z**s.
2*(z - 2)**2*(z - 1)**2
Factor 90*a + 972 + 3/4*a**2.
3*(a + 12)*(a + 108)/4
Suppose -4*y + y + 48 = 0. Let l = -291712/5 + 58348. Let -32/5 - y*j - 4/5*j**4 - 72/5*j**2 - l*j**3 = 0. What is j?
-2, -1
Suppose -247*k - 100*k - 133*k = -534 - 426. Factor p**3 - 27/4*p**k + 0 - 7/4*p.
p*(p - 7)*(4*p + 1)/4
Let r(o) be the first derivative of o**7/735 - o**6/70 - 2*o**5/105 + 2*o**4/7 + o**2 + 23*o + 58. Let g(p) be the second derivative of r(p). Factor g(d).
2*d*(d - 6)*(d - 2)*(d + 2)/7
Let j(y) be the second derivative of y**5/15 + y**4 - 66*y**2 + 146*y. Let b(w) be the first derivative of j(w). Let b(c) = 0. What is c?
-6, 0
Suppose 0*y - 120 = -5*c + y, 5*y = 0. Factor c*g**5 - 10*g**2 - 111*g**3 - 19*g**5 + 96*g**3.
5*g**2*(g - 2)*(g + 1)**2
Factor 66*j**3 + 1464*j**2 + 1562*j**2 - 3*j**4 - 3146*j**2.
-3*j**2*(j - 20)*(j - 2)
Find o, given that 3712/3 - 2/3*o**3 + 30*o**2 - 352*o = 0.
8, 29
Let o be (-2)/(-3)*36/6 + -2. Let 5*y**2 + 150 - 150 + o*y**3 - 7*y**3 = 0. Calculate y.
0, 1
Let s(j) be the third derivative of -j**7/315 + 37*j**6/60 - 7*j**5 - 8*j**4/9 + 1120*j**3/3 - 2357*j**2 - j. Determine v so that s(v) = 0.
-2, 4, 105
Let j(y) be the first derivative of -5/2*y**2 + 1/3*y**3 + 75 + 4*y. Determine z so that j(z) = 0.
1, 4
Suppose -75*a**4 - 252*a**2 - a**3 - 64*a**3 - 242*a**3 - 3*a**5 + 43*a**3 = 0. What is a?
-21, -2, 0
Let d = 7798/3 - 2598. Let w(b) be the second derivative of 0 + 1/6*b**4 + 22*b + 4*b**2 - d*b**3. Factor w(c).
2*(c - 2)**2
Let p = -25690 + 2902950/113. Let g = p - -1948/791. Determine q, given that g - 24/7*q + 4/7*q**2 - 2/7*q**4 + 6/7*q**3 = 0.
-2, 1, 2
Let q(y) be the second derivative of -y**6/70 - 117*y**5/140 - 75*y**4/28 - 37*y**3/14 - 1805*y. Find p such that q(p) = 0.
-37, -1, 0
Let n(y) be the second derivative of -5*y**4/48 + 455*y**3/8 + 1035*y**2/2 - 5*y + 450. Factor n(p).
-5*(p - 276)*(p + 3)/4
Let n(x) be the first derivative of -x**6/10 - 3*x**5/10 + 13*x**4/4 - 5*x**3 + 9*x + 67. Let z(q) be the first derivative of n(q). Factor z(m).
-3*m*(m - 2)*(m - 1)*(m + 5)
Let r be 1702/(-17871) + (-3)/(-7). Factor -r*x**3 - 4*x + 8/3*x**2 + 0.
-x*(x - 6)*(x - 2)/3
Let m(i) be the second derivative of -30*i**2 - 115/12*i**4 + 3/4*i**5 - 80/3*i**3 + 5/42*i**7 + 7/6*i**6 - i - 6. Factor m(v).
5*(v - 2)*(v + 1)**3*(v + 6)
Let x be (-881178)/(-2178618) + 6/(-62). Factor -14/13*m**3 + 24/13*m**2 - x - 6/13*m.
-2*(m - 1)**2*(7*m + 2)/13
Let v be 3 + (-46)/14 - (-24102)/4095. Find h, given that 72/5 - 4/5*h**2 + v*h = 0.
-2, 9
Suppose -15*s + 734 = -691. Let i = 98 - s. Solve i*q**2 - 12/7*q**3 + 0 + 6/7*q = 0 for q.
-1/4, 0, 2
Suppose 2*q + 5 - 25 = 0. Factor q*a**2 + 70 - 115*a + 463*a**3 + 456*a**3 + 40*a**2 - 924*a**3.
-5*(a - 7)*(a - 2)*(a - 1)
Determine p so that 185/12*p + 61/4*p**2 + 1/6 = 0.
-1, -2/183
Suppose 0 = 329*f + 10147 - 10147. Suppose -12*a**2 + 4/3*a**3 - 88/3*a + f = 0. Calculate a.
-2, 0, 11
Let o(a) = -2*a**4 - 32*a**3 + 37*a**2 + 3*a + 6. Let p(r) = -r**4 + r**3 + r**2 + r + 2. Let l(y) = -o(y) + 3*p(y). Solve l(k) = 0.
0, 1, 34
Let k(s) be the third derivative of s**5/240 - 697*s**4/32 - 523*s**3/6 + 450*s**2 - 3*s - 2. Factor k(w).
(w - 2092)*(w + 1)/4
Let b(h) be the first derivative of -7*h**4/4 + 6746*h**3/3 - 812170*h**2 - 464648*h - 3016. Let b(z) = 0. What is z?
-2/7, 482
Let o(c) = -2*c**3 + 171*c**2 - 420*c + 417. Let l be o(83). Factor -y + 2*y**l - 3/2 + y**3 - 1/2*y**4.
-(y - 3)*(y - 1)*(y + 1)**2/2
Let g(f) be the second derivative of 0*f**3 + 0*f**2 + 2/21*f**7 + 9/5*f**5 - 4/5*f**6 + 126*f - 4/3*f**4 + 0. Let g(k) = 0. What is k?
0, 1, 4
Let f be 6435/24 - ((-44)/(-32))/11. Let n = f - 782/3. Let 34/3*p + 26*p**2 + 4/3 + n*p**4 + 70/3*p**3 = 0. What is p?
-1, -2/11
Let m = -1183916 - -1183916. Determine a so that 4/3*a - 2/3*a**4 - 10/3*a**2 + 8/3*a**3 + m = 0.
0, 1, 2
Let a(z) be the third derivative of 0*z + 25*z**3 + 1/90*z**5 + 0 - 5/6*z**4 + 16*z**2. Suppose a(w) = 0. What is w?
15
Let y(j) be the second derivative of -3*j**5/20 + j**4/4 + 6*j**3 - 4*j + 414. Find v, given that y(v) = 0.
-3, 0, 4
What is b in -18/5*b**5 - 468/5*b + 1214/5*b**3 + 26*b**4 + 366*b**2 + 0 = 0?
-3, 0, 2/9, 13
Let o = -82 + 91. Suppose -o*h + 6*h = -24. Factor 8*q**2 - 8*q + 174*q**4 - 186*q**4 + h*q**3 + 4*q**2.
-4*q*(q - 1)*(q + 1)*(3*q - 2)
Let g = -208802/183 - -1141. Let a = 178/915 + g. Factor -1/5*f - a*f**2 + 0.
-f*(f + 1)/5
Let c(z) be the first derivative of z**6/18 - 4*z**5/3 - 31*z**4/4 - 8*z**3 - 554. Find l such that c(l) = 0.
-3, -1, 0, 24
Factor -17/3*c + 70/3 + 1/3*c**2.
(c - 10)*(c - 7)/3
Let n be (-1557)/(-346) - (-2 - (-91)/14). Factor n - 23/4*m + 1/4*m**2.
m*(m - 23)/4
Suppose -904*v + 901*v + 2 = 2*t, -3*v - 3*t = 3. Factor 0 - 1/2*s**2 - v*s.
-s*(s + 8)/2
Let 50*z**3 - 136 + 43*z**3 - 42*z**2 - 212*z - 38*z**2 - 97*z**3 = 0. What is z?
-17, -2, -1
Let x(t) = -2*t**4 - t**3 - 18*t**2 - t - 1. Let f(h) = -13*h**4 + 298*h**3 - 108*h**2 - 6*h - 6. Let y(i) = 5*f(i) - 30*x(i). Factor y(l).
-5*l**3*(l - 304)
Find z, given that 8/3*z**3 + 10/9*z + 28/9*z**2 + 0 + 4/9*z**4 - 2/9*z**5 = 0.
-1, 0, 5
Let r(s) = 7 - 4 - 5 - 2*s + 4*s - s**2. Let g(u)