*a**2 + 0*a**3. Solve i(k) = 0.
-4, -1, 0
Let i(n) be the third derivative of n**7/315 + 17*n**6/90 + 29*n**5/30 - 97*n**4/18 - 248*n**3/9 + 3*n**2 + 1210. Find u such that i(u) = 0.
-31, -4, -1, 2
Let z(q) be the second derivative of 2*q + 2/15*q**4 - 16/5*q**2 + 152 + 8/15*q**3 - 1/25*q**5. Solve z(s) = 0 for s.
-2, 2
Let n(s) be the first derivative of -s**4/2 + 10*s**3 - 1028. Factor n(b).
-2*b**2*(b - 15)
Factor 72870*l**2 - 93110*l**2 + 2732*l + 5352*l - 161 - 647 + 100*l**3.
4*(l - 202)*(5*l - 1)**2
Let q = -217 - -252. Factor -q*p**2 - 35*p - 5*p**3 - 16*p - 29*p - 60.
-5*(p + 2)**2*(p + 3)
Let k(a) be the first derivative of -a**4/46 + 202*a**3/69 + 102*a**2/23 + 1989. What is s in k(s) = 0?
-1, 0, 102
Let f be 15/4*(8 - 4). Let i(y) be the third derivative of 0*y**3 - 1/90*y**4 - f*y**2 + 0 + 0*y - 1/450*y**5. Suppose i(m) = 0. What is m?
-2, 0
Suppose 0 = 8*w - 57 + 17. Suppose -5*l - 27 = -p, 3*p = -l - 4 + w. Solve p*s**2 - 3*s**3 + 5/3*s + 0 - 2/3*s**4 = 0 for s.
-5, -1/2, 0, 1
Let i = 79 - 77. Let r be i*3*(-6)/(-12). Suppose -3*t**r + 4*t + 16*t + 2*t - 6*t**2 + 2*t = 0. Calculate t.
-4, 0, 2
Suppose -1056*z = 37*z. Let 0*b + z + 6/5*b**2 + 111/5*b**3 = 0. Calculate b.
-2/37, 0
Let h be (-5)/3*(75/(-68) + (-1554)/(-4403)). Find q, given that 1/4*q**2 - 1/4*q**4 + 0 + h*q - 5/4*q**3 = 0.
-5, -1, 0, 1
Factor -6 + 15*m**2 - 76*m - 14*m**2 + 37*m + 40*m.
(m - 2)*(m + 3)
Suppose 116 = -4*o - q + 18, 0 = -4*q - 8. Let l be ((-30)/(-8) + 0)/(o/(-64)). Factor -5*a**3 + 50*a**2 + 39*a - 19*a - 10*a**4 - l*a**2.
-5*a*(a - 2)*(a + 2)*(2*a + 1)
Let r be (-9)/(-8) + (-381)/(-1016). Let t(m) be the first derivative of -7 - 1/4*m**4 - r*m**2 - m**3 - m. What is l in t(l) = 0?
-1
Suppose -9*k**2 + 524 - 1089 + 35*k**3 + 19*k**2 + 525 - 5*k**5 - 60*k = 0. Calculate k.
-2, -1, 2
Let f = 106458 + -212913/2. Factor -108*g + 45/2*g**2 + 162 - f*g**3.
-3*(g - 6)**2*(g - 3)/2
Factor -16/3*t**3 - 8*t**2 + 320/3*t - 1/3*t**4 - 400/3.
-(t - 2)**2*(t + 10)**2/3
Let c = -2878 - -2885. Let g(y) be the second derivative of -5/6*y**4 + 1/2*y**5 + 0 + 5/2*y**2 + 1/6*y**6 + 7*y - 5/42*y**c - 5/6*y**3. Factor g(q).
-5*(q - 1)**3*(q + 1)**2
Let z(f) be the third derivative of 1/3*f**4 + 8/3*f**3 + 12*f - 1/15*f**5 + 0 - 5*f**2 - 1/60*f**6. Factor z(u).
-2*(u - 2)*(u + 2)**2
Factor -2*d - 2103 - 3*d**2 + 699 + 162*d - d**2.
-4*(d - 27)*(d - 13)
Let u(g) be the first derivative of -g**4/6 + 256*g**3/9 - 619*g**2/3 + 328*g + 2423. Solve u(d) = 0 for d.
1, 4, 123
Let k = -220730/2277 - -25/207. Let u = 97 + k. Solve 2/11*f**4 + 2/11*f**3 + 0 - 2/11*f**2 - u*f = 0.
-1, 0, 1
Let u(p) be the first derivative of p**4/3 - 2*p**3/3 - 4*p**2 - 230*p - 51. Let g(w) be the first derivative of u(w). Find i such that g(i) = 0.
-1, 2
Let c = -125 + 112. Let s be 84/2 + 21/(c - -6). What is p in -8*p - 63*p - 36 + 4*p**2 + s*p = 0?
-1, 9
Let m(o) = -o**3 + 28*o**2 + 2. Let x be m(28). Suppose 31*w - 23*w - 16 - 16*w + x*w**3 - 2*w**4 + 12*w**2 = 0. Calculate w.
-2, -1, 2
Let s be (-1)/(-1) - 20/18 - 3145/(-765). Let i(o) be the first derivative of 4/3*o**3 - s*o - 37 + 0*o**2. Factor i(h).
4*(h - 1)*(h + 1)
Let k(x) = -x**3 - 60*x**2 - 401*x + 790. Let n be k(-52). Let -n - 2/5*s**3 - 6*s + 18/5*s**2 = 0. Calculate s.
-1, 5
Factor -2242/3 + 2/3*g**2 + 2240/3*g.
2*(g - 1)*(g + 1121)/3
Let v be (-15)/135 - (-28)/9 - 0. Let l be v - (-1*44/(-6) + -5). Factor 0*o + 0 - 4/3*o**2 + 2/3*o**3 + l*o**4.
2*o**2*(o - 1)*(o + 2)/3
Let n(s) be the first derivative of s**4/8 - 5*s**3/2 - 42*s**2 - 184*s - 991. Factor n(a).
(a - 23)*(a + 4)**2/2
Let m = 525 - 283. Let s = m - 239. Let -2/15*b**s - 4/15*b**2 + 0 - 2/15*b = 0. What is b?
-1, 0
Let y = 39474 - 434200/11. Find q, given that 10/11 + 2*q + 2/11*q**3 + y*q**2 = 0.
-5, -1
Suppose -76*t + 71*t = -35. Suppose t*d = 260 - 36. Factor -m**2 - 2*m**2 - 72*m + d - 17*m**2.
-4*(m + 4)*(5*m - 2)
Suppose 2 = -3*r - 1. Let a be 3/(-9) - (r + 12/(-9)). Suppose -4*b**2 - 51*b - 2*b**3 + 4*b**5 + 49*b - a*b**2 + 6*b**4 = 0. What is b?
-1, -1/2, 0, 1
Let r(n) be the third derivative of -n**6/24 - 133*n**5/6 + n**2 + 4343*n - 2. Factor r(q).
-5*q**2*(q + 266)
Let c(y) = y**3 + y**2 - 3*y - 3. Let x be (-15 - -14)*(2 + -1) + 3. Let a be c(x). Let -3/2*b**5 + 3/2*b**a - 3*b**2 + 0 + 0*b + 3*b**4 = 0. What is b?
-1, 0, 1, 2
Let m(x) be the third derivative of -x**7/525 + 47*x**6/300 - 41*x**5/50 - 391*x**4/60 - 44*x**3/3 + 20*x**2 + 5*x + 9. Let m(q) = 0. What is q?
-1, 5, 44
Let f(p) be the third derivative of -3*p + 1/180*p**5 - 1/36*p**4 + 6*p**2 - 4/9*p**3 + 0. Factor f(j).
(j - 4)*(j + 2)/3
Let s = -2629 - -2629. Let f(z) be the third derivative of 4/105*z**7 + 4/3*z**3 - 1/10*z**5 - 4/3*z**4 - 14*z**2 + s*z + 11/60*z**6 + 0. Factor f(w).
2*(w - 1)*(w + 2)**2*(4*w - 1)
Let o = -307 - -309. Let 44*y - 16*y**o - 42 + 11*y**2 + 3*y**2 = 0. Calculate y.
1, 21
Let z(m) be the first derivative of m**3/3 + 10*m**2 + 64*m + 9690. Solve z(t) = 0.
-16, -4
Suppose -21*m = -m - 40. What is c in -32*c + 4*c**2 - 3*c**2 + 4*c**3 + 9*c**2 - 2*c**m = 0?
-4, 0, 2
Let c(s) be the second derivative of 2/15*s**5 + 2 + 63*s + 5/18*s**4 + 2/9*s**3 + 0*s**2 + 1/45*s**6. Factor c(u).
2*u*(u + 1)**2*(u + 2)/3
Suppose -2*z - 7 - 2 = -3*l, -21 = -2*z - 3*l. Solve -2803 + 2805 - 4*g - 3*g**2 + z*g**2 - 2*g**4 + 4*g**3 = 0 for g.
-1, 1
Let l(n) be the first derivative of -n**6/30 + 16*n**5/15 - 32*n**4/3 + n**2/2 + 15*n + 67. Let z(i) be the second derivative of l(i). Factor z(m).
-4*m*(m - 8)**2
Let y(x) be the second derivative of -2 + 12/19*x**2 - 1/190*x**5 - 5/57*x**3 - 22*x - 1/19*x**4. Factor y(j).
-2*(j - 1)*(j + 3)*(j + 4)/19
Let o(i) = -i**3 + 4*i**2 - i + 78. Suppose -6*g = 235 - 271. Let r be o(g). Solve 6/5*l**4 + 0*l - 8/5*l**2 + 0*l**3 + r + 2/5*l**5 = 0.
-2, 0, 1
Let p(t) be the first derivative of -70 - 7*t**3 + 3/5*t**5 + 3/2*t**4 + 6*t**2 + 0*t. Find f, given that p(f) = 0.
-4, 0, 1
Determine k so that 1396/9*k + 2/9*k**2 + 243602/9 = 0.
-349
Let u(a) = -6*a**4 + a**2. Let m(j) = 86*j**4 - 72*j**3 + 694*j**2 - 952*j - 1734. Let i(s) = -2*m(s) - 28*u(s). Factor i(l).
-4*(l - 17)**2*(l - 3)*(l + 1)
Let j(c) = c**2 - 259*c + 7843. Let z be j(35). Determine u, given that -4/5*u**2 + 8/5*u - 8/5*u**z - 2/5*u**4 + 6/5 = 0.
-3, -1, 1
Let u be ((7 - -1) + -7)/((-184)/(-368)). Solve 8/3*h**u - 2*h**3 - h + 0 + 0*h**4 + 1/3*h**5 = 0 for h.
-3, 0, 1
Determine s, given that -6*s**4 + 668*s**3 + 2032*s**2 - 975*s + 2*s**4 + 2335*s = 0.
-2, -1, 0, 170
Suppose -4*u + 17 = -31. Let o be u/28 + (-90)/(-35). Let 3*l**5 + 11*l**4 - 34*l**3 + 75*l**3 - 405*l + 19*l**4 - 486 + 49*l**o = 0. What is l?
-3, 2
Let t(n) = n**2 + 100*n - 101. Let w(v) = -v**2 + 1. Suppose -5*m + 3 + 2 = 0. Let h(s) = m*t(s) - 4*w(s). Factor h(c).
5*(c - 1)*(c + 21)
Let k(u) = -77*u + 1388. Let p be k(18). Let c(t) be the first derivative of -3/4*t**4 + 0*t + 0*t**p + 2*t**3 + 33. Factor c(z).
-3*z**2*(z - 2)
Let c = -99 + 118. Determine w so that -29*w - 44*w**2 - 16 - w**4 - 3*w**4 - c*w - 8*w**2 - 24*w**3 = 0.
-2, -1
Let n(j) be the first derivative of 3*j**4/7 + 29*j**3/7 - 90*j**2/7 + 81*j/7 + 5076. Factor n(f).
3*(f - 1)*(f + 9)*(4*f - 3)/7
Let k(c) be the first derivative of 10*c**6/3 - 8*c**5/5 - 265*c**4 + 424*c**3/3 + 1960*c**2 - 1568*c + 1644. Find u such that k(u) = 0.
-7, -2, 2/5, 2, 7
Suppose -10*c - 232 = -21*c - 47*c. Let g(l) be the third derivative of 17/9*l**c - 49/360*l**6 + 0*l + 10/9*l**3 + 217/180*l**5 + 10*l**2 + 0. Factor g(b).
-(b - 5)*(7*b + 2)**2/3
Solve 1684*s**2 - 8650*s + 4*s**4 - 3194*s - 136*s**3 + 17424 + 2868*s = 0.
6, 11
Let j = 221/13860 + 1/1386. Let o(q) be the second derivative of 1/6*q**3 - 1/20*q**5 + 0 + j*q**6 - 1/6*q**4 + 3/4*q**2 + 8*q. Find d such that o(d) = 0.
-1, 1, 3
Suppose -75 = -9*h + 4*h. Suppose 0 = 17*p - h*p - 6. Factor -12*l**p + 3*l + 231*l**2 - 12 + 3*l**4 - 222*l**2 + 9*l.
3*(l - 2)**2*(l - 1)*(l + 1)
Let y(i) be the second derivative of 0 + 15/7*i**2 + 3/14*i**3 - 230*i - 1/28*i**4. Factor y(d).
-3*(d - 5)*(d + 2)/7
Let d = 497201/200 + -2486. Let g(i) be the third derivative of -20*i**2 - 1/5*i**3 + 0 + 1/30*i**5 - d*i**6 + 0*i - 1/120*i**4. Suppose g(p) = 0. Calculate p.
-2/3, 1, 3
Suppose 7*r - 6 - 18 = 4 - 14. Factor -18 + 10/3*g**