ative of 49 + 8/21*i**3 - 1/21*i**6 - 8/35*i**5 - 1/7*i**4 + 0*i + 3/7*i**2. Let n(c) = 0. Calculate c.
-3, -1, 0, 1
Let c(x) be the first derivative of 2*x**6/21 - 248*x**5/35 - 68*x**4/7 + 424*x**3/7 - 54*x**2 + 3542. What is t in c(t) = 0?
-3, 0, 1, 63
Suppose -5*p + 5*k - 40 = 0, 54 - 20 = 4*p + 2*k. Factor 3/2*u + 3/4*u**p - 9/4*u**2 + 0.
3*u*(u - 2)*(u - 1)/4
Suppose 3 = -m + 5. Let a be 14/(-2) - -8 - (0 - 2). Let -6*f**m - 4 + 4*f - a*f + 5*f**2 + 4*f = 0. Calculate f.
1, 4
Let v = 61 + -58. Let j(w) = 5*w**2 - 70*w + 509. Let c(u) = u**2 - 2*u - 1. Let f(r) = v*c(r) - j(r). Solve f(q) = 0 for q.
16
Suppose 10 = 5*y, -5*u + 2*y - 121 = -127. Let b + 5/4*b**3 + 2*b**u + 0 + 1/4*b**4 = 0. What is b?
-2, -1, 0
Factor 81/5*q**2 - 192 + 1/5*q**4 + 112/5*q - 18/5*q**3.
(q - 8)**2*(q - 5)*(q + 3)/5
Let b(r) be the first derivative of 22*r**3/3 + 3*r**2 + 2206. Factor b(p).
2*p*(11*p + 3)
Let g(v) be the first derivative of -3*v**5/35 + 9*v**4/28 - 2*v**3/7 - 3685. Factor g(j).
-3*j**2*(j - 2)*(j - 1)/7
Suppose 1920/7*j + 14*j**3 - 2/7*j**5 - 878/7*j**2 - 1152/7 + 2*j**4 = 0. Calculate j.
-8, 1, 3, 8
Let s = -168891/4 + 42235. Factor 3*w**4 + 0 - 21*w**2 - s*w - 1/4*w**5 - 11/2*w**3.
-w*(w - 7)**2*(w + 1)**2/4
Let j(k) = -5*k**2 + 18*k - 8. Let u(s) be the first derivative of s**3 - 11*s**2/2 + 5*s - 106. Let t(b) = -5*j(b) - 8*u(b). Find z, given that t(z) = 0.
0, 2
Let q = 32 - 30. Factor 6*h**q + 6*h**3 - 6 - 6*h**3 - 3*h + 4*h - h**3.
-(h - 6)*(h - 1)*(h + 1)
Suppose 0*l - 3*x + 747 = 3*l, 0 = 4*l - 5*x - 1041. Factor -2*d**3 - 2*d**3 + l + 35 - 320*d + 68*d**2 - 33.
-4*(d - 8)**2*(d - 1)
Solve -3 - 133/6*v**4 + 1465/6*v**3 + 1235/6*v - 2549/6*v**2 = 0.
2/133, 1, 9
Find d such that 86/3*d - 20 - 4/3*d**5 - 82/3*d**3 - 22*d**4 + 42*d**2 = 0.
-15, -2, -1, 1/2, 1
Solve -56/3*k**2 + 800 - 4/3*k**3 + 80/3*k = 0 for k.
-10, 6
Let y(f) be the third derivative of f**6/40 + 29*f**5/5 + 115*f**4/8 - 663*f**2 + 1. Factor y(j).
3*j*(j + 1)*(j + 115)
Let f(h) = -5*h**3 + 49*h**2 - 106*h - 48. Let y be f(6). Let -2/11*x**3 - 2/11*x**4 + 0 + 12/11*x**2 + y*x = 0. Calculate x.
-3, 0, 2
Suppose -3*t + 2*g + 0*g - 122 = 0, 56 = -2*t - 5*g. Let o = t - -41. Factor 316*u**3 - u - 311*u**o + u.
5*u**3
Let m(d) be the third derivative of 25/24*d**4 + 1/12*d**5 + 0 + 1/360*d**6 + 21*d**2 + 0*d - 3*d**3. Let h(c) be the first derivative of m(c). Factor h(o).
(o + 5)**2
Let p = 35598 - 35598. Let h(i) be the first derivative of p*i**2 + 7/10*i**4 + 26 - 4/15*i**3 + 0*i. Find q such that h(q) = 0.
0, 2/7
Suppose 111*i + 51 = 128*i. Suppose d + 9 = -4*f + 25, -i*f - 5 = 5*d. Solve -2452/9*p**2 - 16/3 + 568/9*p - 3332/9*p**4 + 686/9*p**f + 1526/3*p**3 = 0 for p.
2/7, 1, 3
Let c(x) = -x**3 + 23*x**2 + 24*x. Let d = 335 - 311. Let r be c(d). Solve 4/3*v**2 + r + 1/3*v**3 + 4/3*v = 0.
-2, 0
Let r(k) be the third derivative of 21*k**5/80 - k**4/24 - 3*k**2 - 749*k. Let r(v) = 0. What is v?
0, 4/63
Factor 9248/5 + 27472/5*y + 8438/5*y**3 + 5386*y**2 + 2/5*y**5 - 266/5*y**4.
2*(y - 68)**2*(y + 1)**3/5
Let j(n) be the first derivative of 4*n**3 - 4*n + 188 - 7/2*n**4 - 8/5*n**5 + 7*n**2. Suppose j(r) = 0. Calculate r.
-2, -1, 1/4, 1
Let r(n) = -375*n + 36380. Let c be r(97). Suppose 0 + 8/9*p**2 + 4/3*p**3 + 2/9*p + 8/9*p**4 + 2/9*p**c = 0. Calculate p.
-1, 0
Factor -92*y**2 - 9*y**4 - 2 + 2 + 3*y**5 + 116*y**2 + 2*y**3 - 20*y**3.
3*y**2*(y - 4)*(y - 1)*(y + 2)
Suppose -596 + 602 = 2*w. Let n(y) be the second derivative of 0 + 0*y**w + 8*y + 1/270*y**6 + 1/90*y**5 + 1/108*y**4 + 0*y**2. Solve n(s) = 0.
-1, 0
Suppose -1166*x - 3*x**3 + 204*x**2 + 210 + 1036*x + 547*x = 0. Calculate x.
-1, 70
Let l = 131/260 - 79/260. Determine q, given that -4/5 + 4/5*q - l*q**2 = 0.
2
Let l(r) be the first derivative of -r**5/15 - r**4/2 + 23*r**3/9 + 22*r**2 + 140*r/3 + 2175. Factor l(q).
-(q - 5)*(q + 2)**2*(q + 7)/3
Suppose -4*m - b = 2854, 2*m + 31*b = 27*b - 1434. Let z = -711 - m. Factor 3/2*v**z + v + 0 + 0*v**3 - 1/2*v**4.
-v*(v - 2)*(v + 1)**2/2
Let i(o) be the first derivative of o**5/10 + 27*o**4/8 + 31*o**3/2 + 17*o**2/4 - 69*o + 1708. What is y in i(y) = 0?
-23, -3, -2, 1
Let j(m) be the first derivative of 0*m + 1/30*m**5 + 0*m**3 - 16*m**2 + 25 - 1/12*m**4. Let n(a) be the second derivative of j(a). Find i, given that n(i) = 0.
0, 1
Let a(z) = -z**2 + 20*z - 172. Let h = -197 - -200. Let u(o) = -o**2 + 18*o - 173. Let r(g) = h*u(g) - 4*a(g). Factor r(q).
(q - 13)**2
Suppose 25/3*z**4 + 130*z**3 - 1500*z + 540 + 965/3*z**2 = 0. What is z?
-9, 2/5, 2
Suppose -2*x - 9 = -115. Find g, given that -5 + 38*g**2 - 111*g - 37 - x*g**2 = 0.
-7, -2/5
Let z(v) be the third derivative of 13*v**7/42 + v**6/24 - v**5 - 2*v**2 + 9489*v. Factor z(r).
5*r**2*(r + 1)*(13*r - 12)
Let p(z) be the third derivative of -z**6/360 - 104*z**5/45 - 829*z**4/72 - 23*z**3 - 7323*z**2. Determine t so that p(t) = 0.
-414, -1
Let i = 13124/5 - 39322/15. Let c be 172/42 - (-40)/70. What is k in i*k**3 - 6*k**2 - 2/3*k**4 + c*k - 4/3 = 0?
1, 2
Let q(l) be the second derivative of l**6/135 + 11*l**5/30 + 13*l**4/6 + 23*l**3/27 - 58*l**2/3 - 7*l + 95. Let q(f) = 0. Calculate f.
-29, -3, -2, 1
Let h(n) be the second derivative of n**7/315 + n**6/90 - n**5/90 - n**4/18 + 175*n**2/2 + 29*n + 2. Let i(t) be the first derivative of h(t). Factor i(x).
2*x*(x - 1)*(x + 1)*(x + 2)/3
Let c(s) be the third derivative of s**9/105840 + s**8/2205 + s**7/196 - 9*s**6/70 + 2*s**5/3 - 49*s**2. Let x(t) be the third derivative of c(t). Factor x(k).
4*(k - 2)*(k + 9)**2/7
Let c be (-7)/(-12) - (-13)/(-52). Let m(o) be the second derivative of -4*o - 1/24*o**4 - c*o**3 + 0 - o**2. Solve m(r) = 0 for r.
-2
Let c(m) be the first derivative of -7*m**4 - 244*m**3/3 + 1296*m**2 - 720*m - 1176. Let c(p) = 0. Calculate p.
-15, 2/7, 6
Let o(g) be the second derivative of 3*g**5/20 + 219*g**4/4 + 865*g - 2. Find d, given that o(d) = 0.
-219, 0
What is g in -28 - 4*g**4 - 205*g - 168*g**3 - 518*g - 1572 - 2637*g - 1924*g**2 = 0?
-20, -1
Let w = 46 + -18. Let o be (-1 - (-12)/8)*(w - 0). Factor -o*d + 5*d**3 + 14 - 8*d**2 + 13 - 31 + 3*d**3.
2*(d - 2)*(2*d + 1)**2
Let j = 6974/24017 + -16/3431. What is q in -8/7*q**4 + 0 + 0*q + 8/7*q**2 - j*q**3 + 2/7*q**5 = 0?
-1, 0, 1, 4
Let n(d) be the third derivative of -d**5/20 + 59*d**4/4 - 3481*d**3/2 + 7621*d**2. Factor n(v).
-3*(v - 59)**2
Let s(a) be the third derivative of -2*a**6/105 + 293*a**5/210 - 15*a**4/7 + 5068*a**2. What is g in s(g) = 0?
0, 5/8, 36
Let 70*y - y**4 - 70*y**3 + 22090*y**2 + 0*y**4 - 22091*y**2 + 2*y**4 = 0. What is y?
-1, 0, 1, 70
Let o(z) = z**2 + 7*z - 3. Let c be o(-8). Suppose 20 = c*g + 5. Factor -2*f - 18*f**2 + 2*f**g + 2*f**4 + 31*f**2 - 15*f**2.
2*f*(f - 1)*(f + 1)**2
Suppose -3*l + 390 = 4*m, -3*l - 253 = 5*m - 658. Find j, given that 2420 + l*j + 5/4*j**2 = 0.
-44
Let -58*z**3 + 6*z**2 - 378 + 6*z**2 + 61*z**3 - 260*z + 83*z = 0. What is z?
-9, -2, 7
Let o(q) be the second derivative of 0 + 1/195*q**6 - 1/39*q**4 + 1/13*q**2 - 4/65*q**5 + 13*q + 4/273*q**7 + 4/39*q**3. Determine h so that o(h) = 0.
-1, -1/4, 1
Let f(g) be the third derivative of -g**6/540 + 13*g**5/27 + g**4/108 - 130*g**3/27 - 1801*g**2. Factor f(i).
-2*(i - 130)*(i - 1)*(i + 1)/9
Suppose 4*a = -m + 17 + 3, 3*m = 2*a + 4. Let r(g) be the second derivative of -6*g - 10*g**2 + 0 + 35/6*g**3 - 1/4*g**5 - 5/6*g**a. Factor r(i).
-5*(i - 1)**2*(i + 4)
Let j be (63/36 - 3)*(-2)/10. Factor 0 + 0*r - 1/4*r**3 + 1/4*r**4 + 1/4*r**5 - j*r**2.
r**2*(r - 1)*(r + 1)**2/4
Let m(g) = -g**2 + 23*g - 95. Let o be m(10). Suppose 25*n = o*n - 20. Factor -4/3 + 10/9*c - 2/9*c**n.
-2*(c - 3)*(c - 2)/9
Let f(r) be the first derivative of 2*r**5/5 - 17*r**4/2 + 30*r**3 - 43*r**2 + 28*r - 425. Factor f(s).
2*(s - 14)*(s - 1)**3
Let 0 + 1568*d + 169*d**4 + 3080*d**2 - 3/2*d**5 - 9631/2*d**3 = 0. Calculate d.
-1/3, 0, 1, 56
Determine j so that -675/2 + 1005/4*j**3 + 3387/8*j**2 - 9/8*j**4 - 336*j = 0.
-2, -2/3, 1, 225
Factor -2*o**5 + 71*o**4 + 100*o**3 + 65*o**4 + 122*o**3 - 2*o**5 + 66*o**3.
-4*o**3*(o - 36)*(o + 2)
Let l(g) be the first derivative of -2*g**5/25 - 54*g**4/5 - 1944*g**3/5 - 644. Let l(c) = 0. What is c?
-54, 0
Suppose -6*k - 27*k = -k - 11*k. Determine c so that 0*c + k - 2/5*c**2 = 0.
0
Let q(y) 