 + 0*h**2. Factor m(u).
2*u**2*(u - 4)/7
Suppose -b + 1 = b + 5*x, 0 = 3*b + 4*x + 9. Let y be ((-5)/b)/(-13 - (-837)/63). Suppose y*u**3 - 15/2 - 25/2*u - 5/2*u**2 = 0. Calculate u.
-1, 3
Let j be (-3)/6*(-8 + 8). Let z(x) be the third derivative of 0 - 1/7*x**4 - 8/21*x**3 + j*x - 1/35*x**5 + 5*x**2 - 1/420*x**6. Determine f so that z(f) = 0.
-2
Suppose -3*l - 12 = 3*y - 0*l, -5*l = -2*y + 20. Suppose 6*r - 5 - 7 = y. Factor 9*k - 5*k + 5*k**r + 15 - 24*k.
5*(k - 3)*(k - 1)
Let d(c) be the first derivative of -4*c**2 + 2/3*c**3 + 6*c + 11. Factor d(u).
2*(u - 3)*(u - 1)
Let t(d) = -d**2 - 4*d + 10. Let w be t(-6). Let o be w - -4 - (-3 - -3). Factor -6*s - 6*s**2 + 5*s**o + 4*s**2.
3*s*(s - 2)
Let o(j) = 13*j**2 + 664*j - 3186. Let x(v) = 50*v**2 + 2655*v - 12740. Let q(w) = 35*o(w) - 9*x(w). Suppose q(r) = 0. Calculate r.
5, 126
Let n(p) be the third derivative of p**6/240 - 299*p**5/120 + 7693*p**4/16 - 36015*p**3/4 + 1889*p**2. Solve n(l) = 0 for l.
5, 147
Let d(n) be the third derivative of -n**7/42 - n**6/6 + n**5 + 20*n**4/3 - 160*n**3/3 - 28*n**2 - 106*n + 1. Factor d(v).
-5*(v - 2)**2*(v + 4)**2
Let u(j) be the first derivative of j**4/12 - 1064*j**3/9 - j**2/6 + 1064*j/3 + 6231. Let u(z) = 0. What is z?
-1, 1, 1064
Determine c, given that 94 + 2/3*c**2 + 284/3*c = 0.
-141, -1
Let k(x) = -7*x**2 + 13*x - 19. Let b(y) = 20*y**2 - 40*y + 44. Let j(g) = 3*b(g) + 8*k(g). Find v, given that j(v) = 0.
-1, 5
Let u(m) be the third derivative of -m**5/12 - 145*m**4/24 - 150*m**3 + m**2 - 3397. Factor u(y).
-5*(y + 9)*(y + 20)
Suppose 897 - 431 - 386 = 20*c. Let -1/5*t**3 - 2/5*t**2 + 0*t + 0 + 1/5*t**5 + 2/5*t**c = 0. What is t?
-2, -1, 0, 1
Let h(v) be the first derivative of 7*v**3/9 - 23*v**2/12 - 5*v/3 - 1976. Let h(r) = 0. Calculate r.
-5/14, 2
Factor 288/7*a + 3/7*a**2 + 285/7.
3*(a + 1)*(a + 95)/7
Let n(z) be the first derivative of z**6/30 - 11*z**5/25 + 31*z**4/20 - 17*z**3/15 - 16*z**2/5 + 28*z/5 + 1225. Determine q, given that n(q) = 0.
-1, 1, 2, 7
Let v be ((-2)/(-16))/(4/8). Let p(w) = -2*w**3 - 2*w**2 + 34*w + 64. Let b be p(-2). Let 54 + 63/2*z**2 + 81*z + v*z**b + 19/4*z**3 = 0. What is z?
-6, -1
Suppose -32*k = -29*k - 6. Factor 43*m + 102 - 81*m**k - 202*m - 9*m**3 - 90*m - 87*m**2.
-3*(m + 2)*(m + 17)*(3*m - 1)
Suppose -21*h + 1179 - 1179 = 0. Let t(l) be the third derivative of 32*l**2 + h + 0*l - 1/180*l**5 - 2*l**3 - 1/6*l**4. What is z in t(z) = 0?
-6
Suppose -632*m + 865 = -98*m - 203. Suppose 4*x + 2*n - 8 = 0, 3*x - 8 = -x - 4*n. Find t such that 8/3*t + 2/3*t**m + x = 0.
-3, -1
Let y(n) be the third derivative of n**9/36288 + n**8/1344 + n**7/126 + n**6/27 + 6*n**5/5 - 87*n**2. Let g(t) be the third derivative of y(t). Factor g(l).
5*(l + 1)*(l + 4)**2/3
Let a(w) be the third derivative of 1/350*w**7 + 0 - 6/5*w**3 - 1/2*w**4 + 9/200*w**6 - 1/100*w**5 - 2*w - 89*w**2 - 1/560*w**8. Suppose a(b) = 0. Calculate b.
-2, -1, 2, 3
Suppose 5*g = -100, -2*p - 450 = 12*g + 18*g - 7*g. Factor 1/6*m**p - m**3 - 5/6*m**4 + 0*m**2 + 0 + 0*m.
m**3*(m - 6)*(m + 1)/6
Let v(c) be the third derivative of c**7/1470 + c**6/30 - 29*c**5/420 + 2*c**2 + 522. Let v(t) = 0. What is t?
-29, 0, 1
Let x(t) be the second derivative of -19*t**4/24 - 17*t**3/6 + 2*t**2 - 340*t + 3. Factor x(b).
-(b + 2)*(19*b - 4)/2
Suppose 235/3*o - 1700/9 - 26/3*o**2 + 1/9*o**3 = 0. What is o?
5, 68
Let i(p) be the second derivative of -p**7/28 - 21*p**6/10 - 441*p**5/10 - 343*p**4 - 11659*p. Factor i(q).
-3*q**2*(q + 14)**3/2
Let l = 195 - 161. Let l*o**2 - 323*o**2 - 15*o**3 - o**2 + 1000 - 1300*o = 0. What is o?
-10, 2/3
Suppose -8*z + 49 - 529 = 0. Let a be -4*((-295)/z + -5). Let -5/6*b + 1/6*b**5 + 2/3*b**4 + 2/3*b**3 - a - 1/3*b**2 = 0. Calculate b.
-2, -1, 1
Let w(f) be the second derivative of -3/20*f**5 - 7*f + 30*f**2 + 4 + 9/4*f**4 - 12*f**3. Let w(v) = 0. Calculate v.
2, 5
Let x(w) be the first derivative of -w**5/20 - 41*w**4/16 - 133*w**3/4 - 931*w**2/8 + 343*w + 522. Solve x(d) = 0 for d.
-28, -7, 1
Let i = -106/261 - -15/29. Let c(s) be the first derivative of 12 + 0*s**2 + i*s - 1/27*s**3. Factor c(o).
-(o - 1)*(o + 1)/9
Let z(j) be the first derivative of -j**3/36 - 305*j**2/8 + 229*j/3 + 1116. Factor z(w).
-(w - 1)*(w + 916)/12
Let w(x) be the second derivative of x**4/150 + 658*x**3/75 + 657*x**2/25 + 1672*x - 1. Factor w(z).
2*(z + 1)*(z + 657)/25
Let g = 18473/148 + -4424/37. Factor 0 + 3/8*x**3 + 39/8*x - g*x**2.
3*x*(x - 13)*(x - 1)/8
Let n(g) = 36*g + 136. Let v be n(-23). Let o = 4860/7 + v. Solve -2*c**2 - 2/7*c**3 - o*c + 32/7 = 0 for c.
-4, 1
Let m(i) = -i**3 + 29*i**2 + 86*i - 1678. Let x be m(30). Factor -16/7*v**x + 0 + 4/7*v**4 - 32/7*v + 8/7*v**3.
4*v*(v - 2)*(v + 2)**2/7
Let -4/3*g**2 + 0*g + 1/3*g**4 - 2/3*g**3 + 0 + 1/6*g**5 = 0. What is g?
-2, 0, 2
Let c(p) be the second derivative of 14/3*p**3 + 16*p**2 + 125*p + 0 - 1/3*p**4. Factor c(i).
-4*(i - 8)*(i + 1)
Let c(l) be the third derivative of -l**5/210 + 25*l**4/4 + 526*l**3/21 - 2*l**2 + 1085. Factor c(m).
-2*(m - 526)*(m + 1)/7
Suppose -46 = -3*g - b, -4*g + 5*b + 74 = -0*b. Suppose 0 = g*y + 2*y - 576. Factor 8*l + 1/2*l**2 + y.
(l + 8)**2/2
Let m(t) be the third derivative of -t**5/60 - 105*t**4/4 + 631*t**3/6 + 4467*t**2. What is y in m(y) = 0?
-631, 1
Let a(c) be the first derivative of 2*c**2 + 0*c - 7/10*c**4 - 34/25*c**5 + 34 - 1/5*c**6 + 34/15*c**3. Suppose a(i) = 0. What is i?
-5, -1, -2/3, 0, 1
Suppose 10*u + 4*g - 52 = 7*u, 5*g - 20 = 0. Factor 0*v**3 - u*v**3 + 85*v**4 - 83*v**4.
2*v**3*(v - 6)
Let a(w) be the second derivative of -41*w**6/150 - 8*w**5/5 - 37*w**4/15 + 8*w**3/15 + 21*w + 1. Let a(d) = 0. Calculate d.
-2, 0, 4/41
Let n be 7 + 36 + 27/(-8 + 5). Let b(i) be the second derivative of n*i + 0*i**2 - 25/42*i**4 + 9/70*i**5 + 0 - 2/7*i**3. Determine v so that b(v) = 0.
-2/9, 0, 3
Let -137*c**2 - 182/3*c - 127*c**3 - 137/3*c**4 - 3*c**5 - 8 = 0. What is c?
-12, -1, -2/9
Let y = -2 + 26. Let t be (-3)/(12/8) + 11 + 9. Factor -4*r**3 + 9*r + r**3 + y*r**2 - t*r**2.
-3*r*(r - 3)*(r + 1)
Suppose -c + 9 = 7. Determine g so that 500*g**c + 2 + 3 + 54*g - 85*g - 69*g = 0.
1/10
Let n be 378/140 + (242/220 - 1). Suppose -2*u + 5*k + 33 - 5 = 0, 5*u = 2*k + 28. Factor 18/5*j - 2/5*j**u + n*j**3 - 6*j**2 + 0.
-2*j*(j - 3)**2*(j - 1)/5
Let o(g) be the third derivative of -g**8/1512 + 4*g**7/945 + g**6/270 - 2*g**5/45 - g**4/12 - 41*g**2. Determine q so that o(q) = 0.
-1, 0, 3
Let v(p) be the third derivative of 10/21*p**3 + 1/210*p**5 + 63*p**2 + 0*p - 11/84*p**4 + 0. Factor v(w).
2*(w - 10)*(w - 1)/7
Find s, given that 0*s + 241/2*s**3 + 103/3*s**2 + 0 + 7/6*s**4 = 0.
-103, -2/7, 0
Let s = 1505 + -1382. Let k = 125 - s. Find l such that 5/4*l**3 + 1/2 + 1/4*l - 2*l**k = 0.
-2/5, 1
Suppose 0 = -20*b + 19 + 21. Factor -1464 - 2*k**b - 4*k**2 + 1452 + 28*k - 2*k**2.
-4*(k - 3)*(2*k - 1)
Let y(x) be the first derivative of -488*x - 14*x**3 - 28*x**3 + 480*x - 9*x**4 - 122 + 35*x**2. Factor y(c).
-2*(c + 4)*(3*c - 1)*(6*c - 1)
Suppose -162 = 8*v - 17*v. Let b be (-86)/v + (8 - (10 - 7)). Factor -26/9*w + b*w**2 + 0.
2*w*(w - 13)/9
Let m(w) be the second derivative of -3*w**5/40 - 225*w**4/8 - 12987*w**3/4 - 110889*w**2/4 - 229*w - 2. Determine p, given that m(p) = 0.
-111, -3
Factor -99/2*w**2 + 3/2*w**3 + 765/2*w - 1725/2.
3*(w - 23)*(w - 5)**2/2
Factor 1/4*g**4 - 215/4*g**3 - 218*g**2 + 0 - 219*g.
g*(g - 219)*(g + 2)**2/4
Let f = -10 - -12. Let x be 161 + -160 - (0 + -9 + 2). Factor -x*q - f*q - 12 + 2*q + 4*q**2 + 0*q.
4*(q - 3)*(q + 1)
Let k(f) be the second derivative of 161 + 85/4*f**4 + 0*f**2 - 123/20*f**5 - 43/2*f**3 - 2*f - 1/10*f**6. Suppose k(p) = 0. Calculate p.
-43, 0, 1
Let n(j) be the second derivative of -2*j**6/15 - 52*j**5/5 - 220*j**4 + 1664*j**3/3 + 21632*j**2 - 100*j + 29. Determine q, given that n(q) = 0.
-26, -4, 4
Factor -418*r**2 - 20938/7*r - 2/7*r**4 - 134/7*r**3 + 0.
-2*r*(r + 19)**2*(r + 29)/7
Let d be (1 + (8 - 7))/(2/2). Factor 12 - 12*c**d + 6*c**2 - 2*c - 4*c**3 + 24*c.
-2*(c - 2)*(c + 3)*(2*c + 1)
Let q(s) = s**2 - 3*s + 11. Let a be q(5). Let k be a/28 - (-10)/8. Factor -4*o**3 + 8*o**k + 41 - 4*o - 18 - 23.
-4*o*(o - 1)**2
Let p(a) be the third derivative of 2*a**7/35 - 5*a**6/24 + 7*a**5/30 - a**4/24 + 111*a**2 + 3. Determi