n be (-3)/4 + (-58)/(-56). Suppose -2*w = 4*m - 5*m + 10, 10 = -m - 3*w. Factor n*p**3 - 6/7*p**m + 6/7*p - 2/7.
2*(p - 1)**3/7
Let f(v) = v**3 - 15*v**2 + v - 13. Let r be f(15). Let l(m) be the first derivative of 7/2*m**3 - 9 - 12*m**r + 6*m. Let l(q) = 0. Calculate q.
2/7, 2
Let g = 46 + -40. Suppose -g*h + 14 = 2. Suppose -1/6*b**h + 0*b + 0 = 0. Calculate b.
0
Let f(h) = h**3 + 7*h**2 + 8*h + 15. Let l be f(-6). Let d(m) be the first derivative of -3/4*m**4 - l*m - 9/2*m**2 + 2 - 3*m**3. Factor d(v).
-3*(v + 1)**3
Suppose -10*c - 4*c + c = 0. Let b(z) be the second derivative of 1/24*z**4 - 1/6*z**3 + c + 5*z + 1/4*z**2. Find w such that b(w) = 0.
1
Let p(i) be the second derivative of -i**8/336 + i**6/72 - 2*i**3/3 + 6*i. Let g(o) be the second derivative of p(o). Solve g(s) = 0.
-1, 0, 1
Let l(y) be the first derivative of 5/4*y**4 - 10/3*y**3 + 0*y**2 + 2*y**5 - 5/6*y**6 + 24 + 0*y. Suppose l(r) = 0. What is r?
-1, 0, 1, 2
Let a(r) be the first derivative of 0*r**2 - 1/7*r**3 + 0*r + 11 + 3/28*r**4. Factor a(w).
3*w**2*(w - 1)/7
Let l(f) = -3*f**3 + 0 - 7*f**3 - 4 - 2 + 4*f**2. Let y = -48 - -61. Let x(b) = 21*b**3 - 8*b**2 + 13. Let m(g) = y*l(g) + 6*x(g). Factor m(q).
-4*q**2*(q - 1)
Factor -169*m - 1/2*m**2 - 28561/2.
-(m + 169)**2/2
Let n = -12582 + 113242/9. Factor 0 + n*k + 2/9*k**2.
2*k*(k + 2)/9
Let i(z) be the first derivative of -z**3 + 3*z**2/2 - 48. Solve i(g) = 0 for g.
0, 1
Let o be (120/(-330))/(54/(-33)). Let d be 20/14*(-14)/(-18). Suppose -o*b**2 + d*b - 8/9 = 0. What is b?
1, 4
Let r(q) be the third derivative of -q**5/180 - q**4/4 - 9*q**3/2 + 110*q**2. Let r(c) = 0. What is c?
-9
Let a(l) be the third derivative of 1/20*l**5 + 1/36*l**4 + 1/30*l**6 + 0*l**3 + 1/126*l**7 + 0*l - 2*l**2 + 0. Suppose a(h) = 0. Calculate h.
-1, -2/5, 0
Let c(b) be the third derivative of -2*b**6/3 + 2*b**5/3 - 5*b**4/24 - 261*b**2. Let c(u) = 0. What is u?
0, 1/4
Factor 0 - 400*q**2 + 385*q**3 + 80*q + 605/2*q**4.
5*q*(q + 2)*(11*q - 4)**2/2
Let k(v) be the second derivative of 1/6*v**4 + 18*v + 0 - 1/3*v**3 + 1/3*v**2 - 1/30*v**5. Find g such that k(g) = 0.
1
Let k(i) = 25*i**3 - 29*i**2 - 64*i - 46. Let t(h) = -50*h**3 + 54*h**2 + 129*h + 91. Let d(z) = -11*k(z) - 6*t(z). Factor d(s).
5*(s - 2)*(s + 1)*(5*s + 4)
Let y(o) be the third derivative of o**8/336 - o**7/21 + 11*o**6/40 - 2*o**5/3 + 2*o**4/3 - 6*o**2 + 10*o. Suppose y(n) = 0. Calculate n.
0, 1, 4
Suppose 2*h + 5*x + 9 = -2*h, h - 2*x - 14 = 0. Suppose -2*a**5 - 5*a - h*a**2 + a - 2*a + 4 + 8*a**3 = 0. Calculate a.
-2, -1, 1
Let p = 2941/11 - 267. Suppose 4*m + 4*q = -12, -11 + 18 = -4*m - 3*q. What is v in p*v + 14/11*v**m + 0 = 0?
-2/7, 0
Let l(k) be the third derivative of -k**8/672 - 3*k**7/70 + 41*k**6/120 - 16*k**5/15 + 29*k**4/16 - 11*k**3/6 + k**2 + 17. Factor l(o).
-(o - 1)**4*(o + 22)/2
Find s such that 20081 - 10145 + 16*s**2 - 244*s - 10128 = 0.
-3/4, 16
Let b be (1 + 0)/(1/13). Let p = b - -10. Factor 9*i**2 - 9 - 23*i - 24*i + p*i.
3*(i - 3)*(3*i + 1)
Let k(g) be the first derivative of 0*g**3 + 0*g**2 - 1/8*g**4 + 0*g + 5 + 3/10*g**5. Determine f so that k(f) = 0.
0, 1/3
Let n(v) be the third derivative of -v**7/70 + 3*v**6/8 + 17*v**5/20 - 15*v**4/8 - 8*v**3 + 2*v**2 + 201*v. Let n(x) = 0. Calculate x.
-1, 1, 16
Let q(t) be the second derivative of -t**5/12 - 175*t**4/12 - 6125*t**3/6 - 214375*t**2/6 + 9*t + 2. Factor q(i).
-5*(i + 35)**3/3
Let s be -8*(4 + 343/(-84))*-2*-3. Determine x, given that 4/11*x**3 + 8/11*x**2 - 2/11*x**s - 4/11*x - 6/11 = 0.
-1, 1, 3
Suppose 60*m - 211*m = 0. Suppose m - 4/5*f**2 + 0*f - 2/5*f**3 = 0. What is f?
-2, 0
Let 23*g**2 - 363*g**5 + 283*g**3 + 47*g**2 + 401*g**3 + 127*g**2 + 330*g**4 + 19*g**2 = 0. Calculate g.
-6/11, 0, 2
Let c(f) be the first derivative of -5*f**3/12 - 5*f**2/4 + 79. Factor c(j).
-5*j*(j + 2)/4
Let q be 12/(-9)*(-567)/(-1260) + 1. Factor 0 + q*j**2 + 1/5*j + 0*j**3 - 1/5*j**5 - 2/5*j**4.
-j*(j - 1)*(j + 1)**3/5
Let x = -543 + 5433/10. Let a(j) be the first derivative of 0*j**3 + x*j**5 + 0*j - 2 + 1/8*j**4 + 0*j**2. Factor a(m).
m**3*(3*m + 1)/2
Let -88/7 - 8/7*d**2 - 180/7*d = 0. Calculate d.
-22, -1/2
Let y(b) be the third derivative of 13*b**2 + 0 - 1/330*b**6 + 1/66*b**4 + 0*b**3 + 1/110*b**5 + 0*b. Solve y(f) = 0 for f.
-1/2, 0, 2
What is g in -4/3*g**2 - 22/3 - 46/3*g = 0?
-11, -1/2
Let n(u) be the second derivative of -u**6/360 + u**5/30 - u**4/8 - 7*u**3/3 - 11*u. Let v(x) be the second derivative of n(x). Suppose v(q) = 0. Calculate q.
1, 3
Suppose 2*j + 22 = 4*q, 2*j = 2*q - j - 21. Suppose 3 = q*x - 21. Find f such that f**2 + 0 + 8 + 0 + x - 8*f = 0.
4
Let g = 271 - 271. Let m(h) be the third derivative of 1/42*h**4 + 0 + 0*h**3 + g*h + 4*h**2 - 1/105*h**5. Factor m(c).
-4*c*(c - 1)/7
Suppose 0 = -21*x + 19*x + 8. Find z such that -409 + 4*z**5 + 409 - 12*z**x = 0.
0, 3
Let t be (20/(-210))/((-31)/186). Factor -t*c - 2/7 + 2/7*c**4 + 0*c**2 + 4/7*c**3.
2*(c - 1)*(c + 1)**3/7
Let y(z) = -z**2 - z - 1. Let v(f) = 9*f + 1. Let n be v(-2). Let g = n - -16. Let l(r) = -35*r**2 - 30*r - 30. Let a(h) = g*l(h) + 30*y(h). Factor a(c).
5*c**2
Find x, given that -16/3*x**2 + 1/3*x**5 + 0*x - 11/3*x**4 + 26/3*x**3 + 0 = 0.
0, 1, 2, 8
Let m = -4222 + 1773241/420. Let k(g) be the third derivative of 0*g**3 + m*g**6 + 5*g**2 + 0*g**5 + 0*g + 0*g**4 + 0. What is i in k(i) = 0?
0
Let b(d) be the second derivative of 0 + 28/9*d**3 - 169/126*d**7 + 113/60*d**5 - 2/3*d**2 - 217/36*d**4 + 15*d + 221/90*d**6. Determine q, given that b(q) = 0.
-1, 2/13, 1
Let j(u) be the second derivative of -u**5/10 + 5*u**4/8 + u**3/3 + 40*u. Solve j(n) = 0.
-1/4, 0, 4
Suppose 0 = -22*j + 13*j + 18. Let h be -2 - (-3 + 1) - j/(-5). Factor 0*y**2 + 4/15 - h*y + 2/15*y**3.
2*(y - 1)**2*(y + 2)/15
Suppose 0 = 3*z + 13*z - 1200. Let j be 8/3*z/100. Determine t so that -2/11*t**3 + 4/11 + 6/11*t + 0*t**j = 0.
-1, 2
Let v(x) = 2*x**3 + 34*x**2 + 52*x + 323. Let u be v(-16). Factor 8/5*f**2 + 2/5*f**5 + 0*f - 6/5*f**4 + 0*f**u + 0.
2*f**2*(f - 2)**2*(f + 1)/5
Determine n, given that -841*n - 49977 - 5*n**2 - 87941 - 649*n + 26913 = 0.
-149
Let o(n) be the second derivative of n**7/294 + n**6/70 - n**5/14 + 162*n. Factor o(s).
s**3*(s - 2)*(s + 5)/7
Let p(t) be the second derivative of t**7/273 - t**6/15 + 67*t**5/130 - 57*t**4/26 + 72*t**3/13 - 108*t**2/13 - 2*t + 155. Factor p(d).
2*(d - 3)**3*(d - 2)**2/13
Let k(r) be the third derivative of -r**8/168 + r**7/105 + r**6/15 - 2*r**5/15 - 2*r**2 - 24. Let k(f) = 0. Calculate f.
-2, 0, 1, 2
Let x(o) be the first derivative of -2*o**5/95 + o**4/19 + 8*o**3/19 + 14*o**2/19 + 10*o/19 + 84. Determine z, given that x(z) = 0.
-1, 5
Let x = -1 - -3. Suppose -2*a**2 + 0*a**2 - 10*a - 3*a**2 + 0*a**x - 5 = 0. What is a?
-1
Let o(i) = -2*i - 24. Let x be o(-12). Let l be (x/1 + 0)/(6/(-3)). Solve -1/3*v**2 + 2/3*v + l = 0 for v.
0, 2
Let c(j) be the first derivative of -j**4/10 + 46*j**3/15 - 24*j**2 - 288*j/5 - 25. Solve c(a) = 0.
-1, 12
Let o = -2 + 2. Suppose 6*u + 62 = 92. Factor o*b**3 + 0*b + 0*b**2 + 0 + 3/5*b**u + 3/5*b**4.
3*b**4*(b + 1)/5
Let w(n) = n**3 - 7*n**2 + 5*n + 1. Let t(i) = -i**2 + 1. Let v(g) = -g + 23. Let c be v(24). Let d(p) = c*w(p) + 3*t(p). Factor d(k).
-(k - 2)*(k - 1)**2
Suppose 0*v = -11*v + 22. Let o be -2 + 178/72 + 8/(-32). Suppose -4/9*g + 2/9 + o*g**v = 0. What is g?
1
Suppose 4/5*p**3 - 128/5*p + 384/5 - 8/5*p**2 = 0. What is p?
-6, 4
Let i(l) be the first derivative of -1/3*l**3 - 1/90*l**5 + 1/1620*l**6 + 0*l**2 + 0*l - 1 + 1/12*l**4. Let j(t) be the third derivative of i(t). Factor j(n).
2*(n - 3)**2/9
Solve 0*x + 17/8*x**3 - 9/4*x**2 + 0 + 1/8*x**4 = 0 for x.
-18, 0, 1
Let q = 23 - 91. Let n be q/(-18) + (-10)/(-45). Find p such that 0*p**3 - 9*p**n + 10*p**5 + 4*p**3 - 6*p**4 + p**4 = 0.
0, 2/5, 1
Let g(k) = -k**2 + k - 1. Let l(r) = 2*r**2 - 3*r + 4. Suppose 0 = -a + 5*x - 7, -x + 2 = x. Let q(d) = a*l(d) - 6*g(d). Let q(m) = 0. What is m?
-1, 1
Let g(q) = -7*q**3 + 231*q**2 - 4335*q + 27442. Let o(i) = -22*i**3 + 694*i**2 - 13006*i + 82328. Let f(l) = -10*g(l) + 3*o(l). Solve f(s) = 0 for s.
19
Let l be 4/(-10) - 35/(-25). Let w be (-6)/(-2) - 1/l. Determine s, given that 0*s**5 - 5*s**w - 5*s**5 + 3*s**5 + 2*s + 4*s**4 + s**2 = 0.
-1, 0, 1
Let m(d)