) be the second derivative of -2*r**7/21 + 4*r**6/15 + r**5 - 10*r**4/3 - 8*r**3/3 + 16*r**2 + 60*r - 2. Let l(p) = 0. What is p?
-2, -1, 1, 2
Solve -120*l**2 + 0*l + 0 + 5/2*l**3 = 0 for l.
0, 48
Solve -2/9*h**3 - 726 - 286*h - 46/3*h**2 = 0 for h.
-33, -3
Let w be (-2451)/(-15) + 3 + 8/(-20). Suppose 0 = 163*i - w*i + 129. Suppose i*c**2 + 8*c**3 + 18*c + 26*c**2 - 20*c**3 = 0. What is c?
-1/4, 0, 6
Let k(v) = -5*v**3 - 4*v**2 - 4*v - 1. Let y be k(-3). Let i = y - 107. Determine q so that -7*q**3 + 10*q**3 + 2*q**4 - i*q**4 - 4*q**3 = 0.
-1, 0
Let a be (-158)/(-18) + (-2)/(-9). Suppose 0 = -4*m + f - 0*f + a, 3*f + 1 = -m. Factor -36 - 54*n**m + 5*n**2 - n**4 + 12*n**2 + 10*n**3 + 52*n + 8*n.
-(n - 3)**2*(n - 2)**2
Let v = 286 - 386. Let f be (1*3)/(v/(-100)). Factor 2*r**2 - 1/3 - r + 8/3*r**f.
(r + 1)*(2*r - 1)*(4*r + 1)/3
Let p(q) be the third derivative of -103/120*q**5 + 1/84*q**7 - 13/80*q**6 - 5/6*q**3 - 23/16*q**4 - q + 0 + 64*q**2. What is l in p(l) = 0?
-1, -1/5, 10
Let c(t) be the third derivative of -t**6/120 + 29*t**5/12 - 71*t**4/3 + 94*t**3 + 6345*t**2. Suppose c(d) = 0. What is d?
2, 141
Suppose q + 2*g = 4, -2*q - 3*g = q - 9. Determine o so that -26553*o**2 - 30*o**3 - 3 + 3 + 7*o**4 - 2*o**4 + 26598*o**q = 0.
0, 3
Let x(n) = -228*n**4 - 3136*n**3 + 4*n**2 - 4*n + 4. Let r = -574 + 578. Let m(t) = -t**5 + t**4 - t**2 + t - 1. Let w(f) = r*m(f) + x(f). Factor w(d).
-4*d**3*(d + 28)**2
Let o be 21/14*16*1/(-58). Let f = 264/203 - o. Suppose 0*w**2 - 4/7*w**3 + f*w - 8/7 = 0. Calculate w.
-2, 1
Let n = 979/465 - 57/31. Let k(l) be the second derivative of 0*l**2 + n*l**6 - 2*l + 0*l**3 + 0*l**5 + 0*l**4 - 2/21*l**7 + 0. Find a, given that k(a) = 0.
0, 2
Let i(m) be the first derivative of -76/21*m**3 + 128 + 24/7*m + 4/7*m**4 + 38/7*m**2. Factor i(p).
4*(p - 3)*(p - 2)*(4*p + 1)/7
Let z(f) be the third derivative of -f**5/120 - 13*f**4/16 - 85*f**3/6 + 17*f**2 + 21*f. Find x such that z(x) = 0.
-34, -5
Let z(b) = -2*b**2 + 32*b + 77. Let g be z(18). Let -60*i**5 + 15*i**4 - 35*i**3 - 39*i**2 + 128*i**g - 63*i**5 + 90*i - 36*i**2 = 0. What is i?
-3, 0, 1, 2
What is z in -309/4*z**2 + 0 - 3/4*z**3 + 0*z = 0?
-103, 0
Suppose 4*m - 62 = -42. Suppose -2*f = -m + 1. Find w, given that -2*w + w**3 - 2845 + 3*w**2 + w + 2838 + 4*w**f = 0.
-7, -1, 1
Let j be 15/22 - ((-1305)/(-99) + -13). Let p = -9/4 - -5/2. Factor p*a**3 - j*a**2 + 1/4*a + 0.
a*(a - 1)**2/4
Suppose 4*m + 4889 = -v + 4902, 3*m = -v + 10. Let o + 1/5*o**m + 4/5*o**2 + 2/5 = 0. Calculate o.
-2, -1
Let x be 34/867 + ((-1605578)/9282)/(-37). Let 15/7*c + 18/7 + x*c**3 - 61/7*c**2 - 5/7*c**4 = 0. Calculate c.
-2/5, 1, 3
Let y be 12 + -523 - (2 + 5). Let q = y - -1556/3. Find z, given that 1/3*z + 1/3*z**2 - q = 0.
-2, 1
Let k(j) be the third derivative of -14*j - 4/15*j**3 - 3/20*j**4 + 0 - 1/75*j**5 + 3*j**2. Determine c, given that k(c) = 0.
-4, -1/2
Let g(w) be the first derivative of w**6/1440 + w**5/40 + 3*w**4/8 - 40*w**3/3 - 101. Let r(h) be the third derivative of g(h). Factor r(u).
(u + 6)**2/4
Let v(r) = -7*r - 12. Let k be v(-2). Let 321*y - 47 + 7*y**2 - 14*y**k - 14*y**2 - 43 = 0. Calculate y.
2/7, 15
Let s(y) be the second derivative of y**4/3 + 361*y**3/3 - 181*y**2 - 1003*y. Factor s(d).
2*(d + 181)*(2*d - 1)
Let v be (-2)/(-8)*968/121. Let i(t) be the second derivative of 35*t + 0 - 5/4*t**v - 5/6*t**3 - 5/24*t**4. Factor i(s).
-5*(s + 1)**2/2
Let x be 186/66 + -3 + ((-740)/165 - (21 + -27)). Suppose -x*q + 5/2 + 1/6*q**2 = 0. Calculate q.
3, 5
Let q(m) be the third derivative of 0*m + 3/20*m**4 + 2 - 1/150*m**5 + 0*m**3 + 204*m**2. Suppose q(a) = 0. What is a?
0, 9
Suppose -24/7 + 6/7*f**5 + 6/7*f - 24/7*f**4 + 48/7*f**2 - 12/7*f**3 = 0. What is f?
-1, 1, 4
Let o be (-2352)/(-6) + (0 - 2) + 0. Find c such that -5*c**3 + 4*c + 387*c**5 + o*c**5 - 776*c**5 = 0.
-2, -1, 0, 1, 2
Let 112532*f**2 + 113184*f**2 - 4512 - 4500*f - 226832*f**2 + 3*f**3 = 0. What is f?
-2, 376
Let h(y) be the first derivative of -9/32*y**4 + 21/4*y**2 + 3/4*y**3 - 3/40*y**5 + 9*y - 83. Determine w, given that h(w) = 0.
-2, 3
Let i(s) be the third derivative of 6 - 11/6*s**6 + 23/6*s**5 - 75/2*s**3 - 1/42*s**7 + 6*s**2 + 0*s + 55/6*s**4. Suppose i(k) = 0. Calculate k.
-45, -1, 1
Let t be (-192)/224 + (5 - 4). Let y(q) be the first derivative of 26 - t*q**2 - 4/7*q + 1/14*q**4 + 4/21*q**3. Solve y(d) = 0.
-2, -1, 1
Let y(p) = -9510*p - 76078. Let q be y(-8). Factor -3/2*a - 3/4 - 3/4*a**q.
-3*(a + 1)**2/4
Suppose 0 = -5*q + 114 - 94. Find o, given that 42*o**3 + 20*o**q - 8*o**2 + 2 - 30*o**3 - 2 = 0.
-1, 0, 2/5
Suppose -54*g + 34*g + 520 = 0. Suppose 4*c + g*u - 28 = 22*u, -2*u = 5*c - 20. Factor 0 - 2/15*n**c + 6/5*n.
-2*n*(n - 9)/15
Let h = -384 + 388. Suppose h*v - 14 = -2. Solve -1/3*t**2 - 2/3 - 7/3*t + t**4 + 7/3*t**v = 0 for t.
-2, -1, -1/3, 1
Suppose -3*l + 5*q - 2*q = -15, -2*l + 4*q = -10. Suppose l*y = 34 + 1. Factor 16*k**3 - y*k**2 + k**2 - 3*k**4 - 7*k**3.
-3*k**2*(k - 2)*(k - 1)
Solve 0 + 3/8*q**3 + 0*q - 39/8*q**2 = 0.
0, 13
Factor -1/5*g**3 - 14/5*g**2 + 0 + 147/5*g.
-g*(g - 7)*(g + 21)/5
Let h = -272 + 372. Let d be 7/(-12)*h/(-350). Suppose 1/6*n**4 - 1/6*n**2 + 0*n + d*n**5 - 1/6*n**3 + 0 = 0. What is n?
-1, 0, 1
Let f(h) be the second derivative of -h**8/1008 - h**7/1260 + h**6/180 + h**5/120 - 23*h**2 + 41*h - 3. Let s(q) be the first derivative of f(q). Factor s(k).
-k**2*(k + 1)**2*(2*k - 3)/6
Suppose 2*w + 4*n + 26 = 0, 2*w - 53*n + 48*n + 8 = 0. Let m be w*1 + (182 - 171). Determine k, given that 3 + 3/2*k**m - 9/2*k = 0.
1, 2
Suppose 16*q**3 - 57*q**3 - 156*q**2 + 44*q**3 = 0. What is q?
0, 52
Let a(b) be the third derivative of b**6/180 + 11*b**5/5 + 2792*b**2. Determine v, given that a(v) = 0.
-198, 0
Let w(j) be the first derivative of j**8/9240 - j**7/660 + 7*j**6/990 - 2*j**5/165 + 4*j**3/3 + j + 79. Let l(k) be the third derivative of w(k). Factor l(m).
2*m*(m - 4)*(m - 2)*(m - 1)/11
Let r be ((-42)/35)/(59/5). Let x = r + 83/236. Determine k, given that -1/2 + x*k**2 + 1/4*k = 0.
-2, 1
Let q(f) be the first derivative of f**4/2 - 56*f**3 - 175*f**2 + 516*f - 390. Suppose q(u) = 0. What is u?
-3, 1, 86
Let b be 6/7*7 + -2. Let 666*m**2 + 60*m**3 - 70*m**b + 15*m**5 + 15*m**4 - 686*m**2 = 0. Calculate m.
0, 2/3, 1, 2
Suppose 64 = -5*k + 2*j, 0 = -3*k + 6*k - 5*j + 27. Let c = k + 16. Solve 6*y**4 - 7*y + 3*y - 6*y**c + 8*y**3 + 0*y**3 - 5*y**5 + y**5 = 0.
-1, -1/2, 0, 1, 2
Let p(k) be the third derivative of 9025/24*k**3 + k**2 + 0*k + 1/240*k**5 - 19 - 95/48*k**4. Solve p(a) = 0.
95
Let z(b) = 35*b**2 + 280*b + 845. Let t(q) = 2*q**2 - 8*q + 1. Let u(p) = 17*t(p) - z(p). Determine n, given that u(n) = 0.
-414, -2
Let f(s) be the third derivative of -1/36*s**4 + 6*s**2 + s + 0 + 1/45*s**5 - 1/180*s**6 + 0*s**3. What is w in f(w) = 0?
0, 1
Suppose 4*p - 9 + 1 = 0. Solve 108*v + 366*v**3 + 306*v**5 - 294*v**5 - 429*v**p + 28 - 117*v**4 + 50 - 18 = 0.
-1/4, 1, 2, 5
Let s be (-201)/(-408) - (33 - (-9657)/(-296)). Factor 0*b + 0 - 52/17*b**3 + s*b**4 + 338/17*b**2.
2*b**2*(b - 13)**2/17
Let h(w) be the third derivative of w**5/60 - w**4/3 + 5*w**3/2 + 6*w**2. Let a be h(6). Find n such that -37*n**2 + 36*n**2 - 4*n**a + 3*n**3 = 0.
-1, 0
Factor -224*r - 1/6*r**2 + 1345/6.
-(r - 1)*(r + 1345)/6
Let r(d) = -94*d**2 - 110*d**2 - 13*d**3 + 179*d**2 + 29 + 9*d. Let c(f) = -15*f**3 - 25*f**2 + 10*f + 30. Let w(z) = -4*c(z) + 5*r(z). Factor w(g).
-5*(g - 1)*(g + 1)*(g + 5)
Let l(r) = 6*r - 10. Let g be l(4). Let -5934*w**2 - 18*w + 3*w**3 + 5942*w**2 + g + 15*w - 22*w = 0. Calculate w.
-14/3, 1
Let v be (4760/(-51))/(-28)*42/35. Let b(i) be the second derivative of -1/2*i**3 - 1/4*i**v - 40*i + 9*i**2 + 0. Let b(r) = 0. Calculate r.
-3, 2
Let u(q) be the third derivative of q**8/1680 + q**7/525 - 13*q**6/300 + 14*q**5/75 - 47*q**4/120 + 7*q**3/15 + 550*q**2 + 2. Factor u(n).
(n - 2)*(n - 1)**3*(n + 7)/5
Suppose 0 = 4*j - 11*j + 35. Suppose -g = -m - 4, j*m - 20 + 4 = -4*g. Factor -49/5*k**5 - 7/5*k**4 + 33/5*k**3 + 0*k + m - 9/5*k**2.
-k**2*(k + 1)*(7*k - 3)**2/5
Let s(n) be the third derivative of -1/5*n**4 - 3 - 11/300*n**5 + 3*n**2 + 0*n - 1/600*n**6 + 6/5*n**3. Let s(t) = 0. What is t?
-6, 1
Let m(x) = -x**5 - x**4 - x**2 - x. Let w = 224 + -226. Let n(z