 = 0?
-2, -1
Let y(q) be the first derivative of 1/3*q**3 - 5/2*q**2 + 4*q - 39. Suppose y(h) = 0. Calculate h.
1, 4
Let f(m) be the third derivative of 29/40*m**4 + 0 + 1/50*m**6 - m**2 + 21/100*m**5 + 3/5*m**3 + 37*m. Solve f(q) = 0 for q.
-3, -2, -1/4
Let h be -11 + 366/22 + 5*-1. Let f = h - -1/33. Factor f*p**5 + 20/3*p**3 + 10/3*p**4 + 10/3*p + 20/3*p**2 + 2/3.
2*(p + 1)**5/3
Let z be 9*470/1170*5 + -17. Find x, given that -z*x**2 - 2/13*x + 2/13*x**3 + 2/13*x**4 + 12/13 = 0.
-3, -1, 1, 2
Let p(l) be the first derivative of 1/22*l**4 - 172 + 0*l - 10/11*l**3 + 26/11*l**2. Factor p(i).
2*i*(i - 13)*(i - 2)/11
Let j = -3124190/11 + 284018. Suppose -l = -5*q + 13, -5*q + 10*q = 2*l + 16. Let 0 - 8/11*c**q - 2/11*c**3 + 2/11*c**4 + j*c = 0. What is c?
-2, 0, 1, 2
Let p = -5472 - -5476. Let z(s) be the third derivative of 1/120*s**6 + 0 + 0*s**3 + 21*s**2 + 0*s + 1/32*s**p - 13/240*s**5. Find m, given that z(m) = 0.
0, 1/4, 3
Let a = 656678 - 5253423/8. Find p such that -75/2*p + 15/4*p**2 - a*p**3 + 125 = 0.
10
Let l = 100357 + -100353. Solve -18/23*t**l + 16/23 + 2/23*t**2 + 76/23*t**3 - 76/23*t = 0.
-1, 2/9, 1, 4
Factor 1460/17*s - 266450/17 - 2/17*s**2.
-2*(s - 365)**2/17
What is x in 1/2*x**3 + 55/2 - 109/2*x + 53/2*x**2 = 0?
-55, 1
Let n(l) = 0*l**2 + 3*l**2 - 2*l - 8*l - 4 - 5*l**2. Let s(i) = -i**2 - 11*i - 3. Let h(y) = -3*n(y) + 4*s(y). Factor h(d).
2*d*(d - 7)
Factor -1/5*b**3 - 123/5*b - 13*b**2 + 189/5.
-(b - 1)*(b + 3)*(b + 63)/5
Let r = -170/157 - -23209/1570. Let m = 29/2 - r. Factor -4/5*n + 24/5 - m*n**2.
-4*(n - 2)*(n + 3)/5
Let c(r) = -r**2 - 5*r - 4. Suppose 16 - 18 = b. Let f be c(b). Suppose 3/4*g**f + 1/4*g - 1/4*g**3 - 3/4 = 0. What is g?
-1, 1, 3
Let 25/3*a - 48 - 1/3*a**2 = 0. Calculate a.
9, 16
Solve 24/7*n**3 + 3/7*n**4 - 684/7*n - 540/7 - 123/7*n**2 = 0 for n.
-10, -3, -1, 6
Factor 15149 - 86*c + 35*c**2 + 5*c**3 - 119*c - 14984.
5*(c - 3)*(c - 1)*(c + 11)
Let n(k) be the third derivative of k**8/280 - 29*k**7/525 - 7*k**6/180 + 17*k**5/150 - k**4/18 + 9693*k**2. Determine r so that n(r) = 0.
-1, 0, 1/3, 10
Let x(s) be the second derivative of s**6/10 + 3*s**5/10 - 11*s**4/4 - 6*s**3 + 2359*s. Solve x(z) = 0.
-4, -1, 0, 3
Let v be (-90)/10 + 12/1. Let l(n) be the second derivative of 0*n**2 + 1/18*n**4 + 0 - 6*n + 0*n**v. Factor l(d).
2*d**2/3
Let v(r) = 2*r**3 - 1076*r**2 + 143633*r + 291579. Let b(h) = -h - 3. Let z(n) = 14*b(n) - 2*v(n). Factor z(x).
-4*(x - 270)**2*(x + 2)
Let w(h) be the third derivative of -h**8/100800 - h**7/4200 - h**5/6 + h**4/8 - 91*h**2. Let t(u) be the third derivative of w(u). Find k such that t(k) = 0.
-6, 0
Let d(y) be the second derivative of -y**4/15 - 56*y**3/5 - 26*y - 13. Factor d(a).
-4*a*(a + 84)/5
Suppose -18*m = -62 - 10. Suppose -2*d - m = g - 13, -3*g - 6 = -5*d. Factor -12/5 - 3/5*w**2 - g*w.
-3*(w + 1)*(w + 4)/5
Let p be (-4)/6*(1161/(-54) + 17). Find a such that 12 - 39/2*a**2 - 9/2*a**p - 3*a = 0.
-4, -1, 2/3
Let k(q) = -q**2 - 79*q - 1542. Let m be k(-43). Let d(z) be the first derivative of -3*z**4 + 2*z**2 + 0*z + 4*z**5 + 17 - 4/3*z**3 - 4/3*z**m. Factor d(i).
-4*i*(i - 1)**3*(2*i + 1)
Let c = 2/4271 + 4255/34168. Factor -3/8 - 1/8*k**2 - 5/8*k + c*k**3.
(k - 3)*(k + 1)**2/8
Factor 0 - 624/17*o**3 + 622/17*o**4 + 0*o + 2/17*o**5 + 0*o**2.
2*o**3*(o - 1)*(o + 312)/17
Let h(f) = -25*f + 277. Let p be h(11). Let t(y) be the first derivative of -45*y - 5/4*y**4 - 6 - 75/2*y**p - 35/3*y**3. Factor t(r).
-5*(r + 1)*(r + 3)**2
Factor 894*z**3 - 47*z**4 + 13*z**3 + 20*z**4 + 2*z**5 + 25992*z - 113*z**4 + 1087*z**3 + 15960*z**2.
2*z*(z - 38)**2*(z + 3)**2
Let s(l) = -13*l + 241. Let o be s(8). Suppose -o*r = -131*r - 12. Let 9/2*v + 3*v**r - 9/2*v**4 + 3/2 - 3/2*v**5 - 3*v**3 = 0. Calculate v.
-1, 1
Let y(q) be the first derivative of 14*q**5/45 - 31*q**4/6 - 410*q**3/27 + 127*q**2/3 - 20*q - 1242. Suppose y(p) = 0. Calculate p.
-3, 2/7, 1, 15
Let b(k) be the first derivative of k**3/15 - 3*k**2/10 - 2*k + 677. Find o such that b(o) = 0.
-2, 5
Determine q, given that 80/7 + 90/7*q**2 + 2/7*q**3 + 166/7*q - 2/7*q**4 = 0.
-5, -1, 8
Let k be (-4)/20*1*-415. Let l = -78 + k. Factor l*g**4 + 13 + 120*g**2 - 21 + 80*g + 45*g**3 + 8.
5*g*(g + 1)*(g + 4)**2
Suppose -50*z + 55*z - 75 = 0. Let n = 17 - z. Solve -20*i - 60 + 93*i**n - 25*i**3 - 28*i**2 + 40 = 0.
-2/5, 1, 2
Let y be 5/((-10)/6)*6/(-9). Find j such that -20*j**3 - 622*j**2 - 44*j**3 - 4*j**4 + 690*j**y = 0.
-17, 0, 1
Let g(y) be the second derivative of -y**6/135 + 13*y**5/90 - 2*y**4/9 - 20*y**3/3 - 5367*y. Suppose g(t) = 0. What is t?
-3, 0, 6, 10
Suppose -3*o - 9*i = -6*i - 12, -5*o - 4*i + 18 = 0. Let x be 12/80 + (-2)/(-8). Suppose -6/5*c**3 - x*c + 2/5*c**4 + 6/5*c**o + 0 = 0. What is c?
0, 1
Let t(d) be the second derivative of -d**4/30 + 44*d**3/15 + 92*d**2/5 - 619*d. Factor t(z).
-2*(z - 46)*(z + 2)/5
Let z(q) = -2*q. Let k(l) = 189*l + 5*l**3 - 3*l**2 + 20 - 10*l**2 - 2*l**2 - 219*l. Let h(j) = -k(j) + 15*z(j). Find o, given that h(o) = 0.
-1, 2
Suppose 0 = g + 5*z - 99, 3*g + 0*z - 5*z - 277 = 0. Suppose g = h + 92. Solve -o**3 + 0*o**2 - h*o**2 - 2*o**2 + 10*o**2 = 0.
0, 6
Let s(w) be the first derivative of -107 + 2*w - 1/24*w**4 + 23/12*w**2 + 5/9*w**3. Suppose s(g) = 0. What is g?
-1, 12
Let q(r) be the third derivative of r**9/120960 - r**8/4032 + 5*r**7/2016 - 19*r**5/10 - 191*r**2. Let v(m) be the third derivative of q(m). Factor v(g).
g*(g - 5)**2/2
Let w(b) be the first derivative of 62/27*b**3 + 1/9*b**4 + 34/9*b**2 + 16/9*b + 69 - 2/15*b**5. Let w(l) = 0. What is l?
-2, -1, -1/3, 4
Let i be 3/((-3)/(-6) + 1). Factor 261*c**i + 55*c**2 - 108*c + 161*c**2 - 462*c**3 - 147*c**4.
-3*c*(c + 4)*(7*c - 3)**2
Let k(x) be the first derivative of x**5/5 - 4*x**4 + 14*x**3/3 + 8*x**2 - 15*x - 4607. What is d in k(d) = 0?
-1, 1, 15
Let v be 0/3 - 12/(-27)*123/82. Let t = 4 + 1. Factor v*j**4 + 1/6*j**3 + 0*j + 2/3*j**t + 0 + 0*j**2.
j**3*(2*j + 1)**2/6
Let u(y) be the third derivative of -y**7/12600 - 7*y**6/1800 - 9*y**4 + 153*y**2. Let x(q) be the second derivative of u(q). Factor x(a).
-a*(a + 14)/5
Let w(h) be the third derivative of -h**6/24 + 7*h**5/12 + 5*h**4/6 - 70*h**3/3 - 384*h**2 - h. Solve w(s) = 0 for s.
-2, 2, 7
Let z(k) = 39*k**2 + 120*k - 360. Let b(x) = 35*x**2 + 119*x - 360. Let s(c) = -9*b(c) + 8*z(c). Suppose s(q) = 0. What is q?
-40, 3
Let s(b) = 4*b**2 + 2*b - 15. Let t be s(8). Suppose 0 = 6*i - t - 67. Factor 35*h**2 + 34*h**2 - i*h**2 - 5*h.
5*h*(3*h - 1)
Let g(s) be the third derivative of -s**5/150 - 61*s**4/30 - 3721*s**3/15 - 432*s**2. Determine a, given that g(a) = 0.
-61
Let p = 26 - 13. Suppose -50 = 124*x - 134*x. Let 12*v**3 + v**5 - 24*v + 28*v**2 - 12*v**4 + 2*v**x - p*v**5 + 6*v**5 = 0. What is v?
-3, -2, 0, 1
Suppose -83*r + 92 = -323. Let y(n) be the third derivative of 0*n + 1/2*n**4 + 1/40*n**r - 9*n**2 + 0 + 3*n**3. Let y(i) = 0. What is i?
-6, -2
Let b(j) = -22*j**2 + 4842*j - 5895198. Let s(i) = -3*i**2 - 2*i - 2. Let a(x) = 3*b(x) - 21*s(x). Factor a(w).
-3*(w - 2428)**2
Let x(n) be the first derivative of 24/11*n**2 - 2/3*n**3 - 60 - 8/11*n. Solve x(m) = 0 for m.
2/11, 2
Solve 280/11*n**2 + 104/11*n**3 + 336/11*n + 144/11 + 1/11*n**5 + 17/11*n**4 = 0.
-6, -2, -1
Suppose -4*w - 5*g + 598 = 611, 3*g = -w - 12. Factor -27/2*s**2 - 24 - 36*s - 3/2*s**w.
-3*(s + 1)*(s + 4)**2/2
Find z such that 1/3*z**2 - 11/3*z + 4/3*z**3 + 2 = 0.
-2, 3/4, 1
Let f(t) be the third derivative of t**8/3192 - 41*t**7/1995 + 29*t**6/285 - 2*t**5/15 - t**2 - 5*t + 12. Find o such that f(o) = 0.
0, 1, 2, 38
Let i be (-3)/(-9)*22 - 16/(-24). Determine z, given that -281 + i*z**3 - 8*z - 15*z**2 + 297 - z**4 + 0*z**3 = 0.
-1, 1, 4
Let b(f) be the first derivative of 2/21*f**3 - 29/21*f**2 + 25 + 12/7*f. Factor b(z).
2*(z - 9)*(3*z - 2)/21
Let g(p) = p**3 - 53*p**2 - 29*p - 1344. Let n be g(54). Find m, given that n*m + 18 + 1/2*m**2 = 0.
-6
Suppose -5*c + 15*c - 50 = 0. Let t(f) be the first derivative of -5*f**3 - 5*f**2 - 14*f**5 + 27*f**c - 12*f**5 + 30. Factor t(a).
5*a*(a - 2)*(a + 1)**2
Let w(l) be the second derivative of -l**4/48 - 97*l**3/24 + 49*l**2/4 - 756*l. Factor w(t).
-(t - 1)*(t + 98)/4
Let a(y) be the third derivative of -y**6/40 + y**5/10 + 11*y**4/8 - 6*y**3 - 75*y*