hat f(p) = 0.
-3, 0
Let a(r) be the first derivative of r**5/15 + 25*r**4 - 301*r**3/9 + 1313. Factor a(m).
m**2*(m - 1)*(m + 301)/3
Let b(g) be the third derivative of g + 0 + 53*g**2 + 1/945*g**7 + 1/135*g**6 + 0*g**3 + 1/54*g**5 + 1/54*g**4. Determine r so that b(r) = 0.
-2, -1, 0
Let u(i) = i - 3. Let l be u(6). Let k be (1 + 39/15)*(0 + 5). What is a in -8*a**4 - k*a**5 - 10*a**l + 4*a**2 - 17*a**5 + 41*a**5 = 0?
-1, 0, 1/3, 2
Let n = -436/93775 + -2/2325. Let o = 68/363 + n. Factor 8/11*g**4 + 14/11*g**3 + 4/11*g**2 + 0 - o*g.
2*g*(g + 1)**2*(4*g - 1)/11
Let m(s) be the second derivative of -s**6/6 + 25*s**5/4 + 265*s**4/12 + 45*s**3/2 + 50*s. Find h, given that m(h) = 0.
-1, 0, 27
Suppose -198 = 543*b - 199 - 1628. What is s in -s**2 + s**4 - 1/3*s**5 + 1/3*s**b + 0 + 0*s = 0?
-1, 0, 1, 3
Let h(s) = -2*s**3 - 14*s**2 + s + 12. Let f be h(-7). Let 4*o + 16*o**4 + o**f - 18*o**4 - 2*o**5 + 3*o**3 + 8*o**2 = 0. Calculate o.
-2, -1, 0, 2
Let z(x) be the first derivative of -6*x**4/5 - 17*x**3 + 723*x**2/10 - 234*x/5 - 6788. Suppose z(a) = 0. Calculate a.
-13, 3/8, 2
What is q in -2/9*q**2 - 188498/9 + 1228/9*q = 0?
307
Let v(r) be the first derivative of r**3/21 - 3*r**2/7 - 187*r/7 - 3176. Let v(b) = 0. Calculate b.
-11, 17
Let u(r) = r**5 + r**4 - 8*r - 1. Let z(k) = -2*k**5 - 42*k**4 + 28*k**3 + 36*k**2 + 16*k + 6. Let v(w) = 6*u(w) + z(w). Find m such that v(m) = 0.
-1, 0, 1, 8
Let g(b) be the third derivative of -1323/16*b**4 - 8 - 27783/4*b**3 - b**2 - 1/720*b**6 - 21/40*b**5 + 0*b. Factor g(l).
-(l + 63)**3/6
Let v be (-18)/(-90)*(-201)/9. Let l = v - -23/3. Suppose -l*j + 2/5*j**2 + 32/5 = 0. What is j?
4
Let g(x) be the second derivative of x**7/63 + 109*x**6/135 + 931*x**5/90 + 227*x**4/54 - 598*x**3/27 - 3*x + 90. Solve g(w) = 0.
-23, -13, -1, 0, 2/3
Let p(o) be the second derivative of -o**4/30 + 203*o**3/15 + 204*o**2/5 + 1718*o. Factor p(m).
-2*(m - 204)*(m + 1)/5
Solve -21 - 1/4*d**3 - 7/4*d**2 + 23*d = 0 for d.
-14, 1, 6
Let k(d) be the second derivative of 3*d**6/55 + 8*d**5/55 + 5*d**4/66 - 2*d**3/33 - 2*d + 331. Factor k(b).
2*b*(b + 1)**2*(9*b - 2)/11
Factor -24216 - 2977*d**2 + 488070*d + 8209*d**2 - 43718 - 71942 + 14*d**3.
2*(d + 187)**2*(7*d - 2)
Let s(d) be the third derivative of d**6/360 + 7*d**5/120 - d**4/3 + 61*d**3/2 - 145*d**2. Let i(n) be the first derivative of s(n). What is z in i(z) = 0?
-8, 1
Let v(t) = t**3 + 17*t**2 + 29*t - 8. Let s be v(-15). Suppose -203*y + 9*y**4 - 121*y - 68*y - s*y**4 + 54*y**3 + 336*y**2 = 0. Calculate y.
-14, 0, 1
Let x(z) be the first derivative of 3*z**5/5 + 321*z**4/2 + 212*z**3 - 321*z**2 - 639*z - 7535. Determine w, given that x(w) = 0.
-213, -1, 1
Let w(q) = -7*q**3 + q**2 + 2*q + 1. Let y(o) = 12*o**3 - 3281*o**2 + 531298*o + 2177999. Let l(g) = -w(g) - y(g). Find r, given that l(r) = 0.
-4, 330
Determine z so that -700*z**2 + 479035*z**3 - 478320*z**3 + 229*z**2 + 20*z**4 - 454*z**2 = 0.
-37, 0, 5/4
Suppose 3*i - 2*i = 2*d + 24, i - 22 = d. Suppose 15*x = i*x - 20. Factor -h + x*h + 175*h**2 - 169*h**2 + 3*h**3.
3*h*(h + 1)**2
Suppose 36*i - 115 = 13*i. Solve 13*h**4 + 3*h**2 - 2*h**3 - 5*h**4 - 6*h**4 - i*h**2 + 2*h = 0 for h.
-1, 0, 1
Let m(s) be the second derivative of s**7/7560 + s**6/45 + 8*s**5/5 - 25*s**4/4 + 2*s + 36. Let o(y) be the third derivative of m(y). Factor o(b).
(b + 24)**2/3
Let r(a) be the second derivative of -65*a**3 - 47*a + 45/2*a**2 + 845/12*a**4 - 2. Factor r(j).
5*(13*j - 3)**2
Let w = -119 - -119. Solve 13*b + w + 1 - b + b**2 - 14*b = 0 for b.
1
Let s(c) be the first derivative of -c**3/3 + 8*c**2 - 39*c + 3509. Factor s(h).
-(h - 13)*(h - 3)
Let d(s) be the third derivative of s**5/80 - 125*s**4/32 + 183*s**3/4 + 2*s**2 + 2*s - 334. Factor d(k).
3*(k - 122)*(k - 3)/4
Factor 0 - 2/9*w**5 + 94/9*w**4 + 0*w + 0*w**2 + 0*w**3.
-2*w**4*(w - 47)/9
Let -348*c - 732*c + 10258498*c**3 - 10258493*c**3 - 75*c**2 = 0. What is c?
-9, 0, 24
Factor 3/4*c**4 - 36 + 87/4*c**2 - 6*c - 15/2*c**3.
3*(c - 4)**2*(c - 3)*(c + 1)/4
Let y(z) be the first derivative of z**9/756 + z**8/84 + 2*z**7/105 - z**3 - z + 94. Let n(c) be the third derivative of y(c). Find l, given that n(l) = 0.
-4, -1, 0
Let z(b) = -7*b**3 - 22*b**2 - b + 32. Let o(m) = m**3 + m**2 - 2*m - 1. Let x be (1/2)/((-10)/20). Let a(k) = x*z(k) - 2*o(k). Factor a(q).
5*(q - 1)*(q + 2)*(q + 3)
Let u(o) be the first derivative of o**5/30 - 7*o**4/12 - 46*o**3/9 - 11*o**2/2 + 57*o/2 + 2875. Factor u(x).
(x - 19)*(x - 1)*(x + 3)**2/6
Find v such that 15/7*v**3 - 43/7*v + 3/7*v**2 - 1/7*v**4 - 30/7 = 0.
-1, 2, 15
Let a(v) = 4*v**2 + 3*v + 2. Let t be 3*3/(-9)*-5. Let r(h) = 5 + h**2 - 10 + t - h - 1. Let c(j) = 5*a(j) - 15*r(j). What is i in c(i) = 0?
-5, -1
Suppose 5*i = 5, i + 4*i + 18 = p. Suppose 0 = -7*y + p - 2. Factor 4*d**4 + 7*d**2 + 2*d**5 - 2*d**3 + d**2 - y*d**4 - 9*d**2.
d**2*(d - 1)*(d + 1)*(2*d + 1)
Suppose 3*h = 12, -3*x + 5 + 24 = 5*h. Factor -p**x + 6*p + 9*p**2 - 18*p**2 - p**2 + 5*p.
-p*(p - 1)*(p + 11)
Let c = 239 + -234. Let u be (2/c - 1)/((-29)/145). Solve -1/3*l**2 + 1/3 - 1/3*l**u + 1/3*l = 0.
-1, 1
Let k(s) = -7*s**3 + 296*s**2 + 886*s + 10. Let m(j) = -3*j**3 + 147*j**2 + 442*j + 4. Let t(d) = 2*k(d) - 5*m(d). Solve t(i) = 0 for i.
-3, 0, 146
Suppose -5*z - 4*p = -152, 3*z + 2*p - 93 = -p. Let q be 50/z - (-10)/(-35). Factor w + q + 1/6*w**2.
(w + 3)**2/6
Let z(c) be the second derivative of c**5/110 - c**4/66 - 85*c**3/33 - 25*c**2 + 2*c - 71. Let z(k) = 0. What is k?
-5, 11
Let d be 88 - 87 - 1/(-1) - 18/10. Determine z so that -3/5*z**2 + d*z**3 - 16/5*z - 12/5 = 0.
-2, -1, 6
Let q(u) be the first derivative of -u**3/9 + 4079*u**2/3 - 16638241*u/3 - 1725. Solve q(z) = 0 for z.
4079
Let i(s) = 4*s**4 + 77*s**3 - 93*s**2 - 323*s - 320. Let l(x) = -2*x**4 - 36*x**3 + 46*x**2 + 162*x + 160. Let a(p) = -6*i(p) - 13*l(p). Factor a(n).
2*(n - 5)*(n + 2)**2*(n + 4)
Factor 7904/7*u + 6056/7*u**3 + 128/7 - 1012/7*u**4 - 12048/7*u**2.
-4*(u - 2)**3*(253*u + 4)/7
Let 79*t + 5*t**2 + 6*t**2 - 182 - 1625*t**3 - 3*t**2 + 1624*t**3 = 0. What is t?
-7, 2, 13
Let h be 6/36*6 - (4 - 2). Let k be h*4 + 7/1 + 5. Determine s, given that 25*s - 4*s**3 + 15*s - 40*s - k*s**2 + 4*s**4 = 0.
-1, 0, 2
Let w(g) be the second derivative of g**5/60 + 5*g**4/9 + 17*g**3/18 - 19*g**2/3 - 273*g. Solve w(j) = 0.
-19, -2, 1
Let a(n) be the third derivative of 278*n**2 - 1/24*n**6 - 500*n**4 + 0 - 97/12*n**5 + 0*n - 1920*n**3. Factor a(y).
-5*(y + 1)*(y + 48)**2
Let q(b) be the first derivative of 3*b**4/16 - 7*b**3/4 + 21*b**2/4 - 6*b + 366. Determine u so that q(u) = 0.
1, 2, 4
Let c(z) be the third derivative of z**7/588 - z**6/240 - 3*z**5/280 + 77*z**4/12 + 21*z**2 + 3. Let v(j) be the second derivative of c(j). Factor v(m).
3*(m - 1)*(10*m + 3)/7
Let a(m) be the second derivative of 14*m - 95/12*m**4 + 290/3*m**3 - 8 - 30*m**2. Factor a(d).
-5*(d - 6)*(19*d - 2)
Let k(s) be the third derivative of -20*s**2 + 1/10*s**4 + 3/100*s**5 - 1/350*s**7 + 0 + 0*s - 1/100*s**6 - 2/5*s**3. Factor k(o).
-3*(o - 1)**2*(o + 2)**2/5
Determine a, given that 120*a**2 + 378*a + 472*a - 49*a**2 - 531*a**2 - 5*a**3 + 90*a = 0.
-94, 0, 2
Let m(n) be the third derivative of -n**8/84 + 34*n**7/105 + 41*n**6/30 - 49*n**5/15 - 74*n**4/3 - 152*n**3/3 + 396*n**2 - 3*n. Solve m(d) = 0.
-2, -1, 2, 19
Suppose -3*h - h + 11*h = 0. Let s(p) = 8*p. Let b be s(h). Solve 0 + 1/5*j**4 + b*j**3 + 0*j + 0*j**2 + 1/5*j**5 = 0.
-1, 0
Let y be (-1 + -13)*(-5 + 165/45). Suppose -82/3*o**2 - y*o**3 + 4 - 14/3*o = 0. What is o?
-1, -3/4, 2/7
Let c(d) be the first derivative of 9*d**3 + 0*d**2 + 0*d - 31 + 5/12*d**5 + 125/24*d**4 + 1/72*d**6. Let m(a) be the third derivative of c(a). Factor m(j).
5*(j + 5)**2
Let d be 99/3 - (2 + 1). Let u be 12/d - 18/(-5). Factor 2*p**u + 6*p**3 + 1613*p + 2*p**2 - p**3 - 1613*p.
p**2*(p + 2)*(2*p + 1)
Let w(b) = -41*b**3 - 3381*b**2 + 20361*b - 30651. Let t(k) = -580*k**3 - 47335*k**2 + 285050*k - 429115. Let a(x) = -6*t(x) + 85*w(x). Factor a(d).
-5*(d - 3)**2*(d + 681)
Let q = -22 + 31. Let y be 4 + -1 - (-15 + q). Factor 32*n**3 + 17*n**2 + 5*n - 8 - 37*n**3 + y*n.
-(n - 4)*(n + 1)*(5*n - 2)
Let h(k) be the first derivative of k**3/12 + 9*k**2/4 + 17*k/4 - 1026. Factor h(n).
(n + 1)*(n + 17)/4
Suppose 