(m) = 0 for m.
-5, -1, 0, 1
Suppose 4*a - 15 = -3. Suppose 0 = -a*l + 4*i + 22, -4*l + 3*i + 16 = -2*l. Factor -5 - 6*m + 5*m**l - m - m**3 + 8.
-(m - 3)*(m - 1)**2
Suppose 276*q = 275*q. Suppose q = 8*y + 2*y - 30. Factor 1/2*x + 75/2*x**y - 15/2*x**2 - 125/2*x**4 + 0.
-x*(5*x - 1)**3/2
Let l(y) be the third derivative of 0*y**4 + 2/945*y**7 + 23*y**2 + 0*y + 2/135*y**5 - 1/90*y**6 + 0 + 0*y**3. Find s such that l(s) = 0.
0, 1, 2
Let t be (-13)/39*-15*1/(455/14). Suppose 4/13*u + t + 2/13*u**2 = 0. What is u?
-1
Let c(k) be the first derivative of k**5/10 - 9*k**3 + 54*k**2 - 243*k/2 + 42. Factor c(p).
(p - 3)**3*(p + 9)/2
Suppose -25*j + 33*j - 40 = 0. Suppose 0 = -2*y - 3*i + i + 8, -i - 20 = -j*y. Let 0*l**2 + 0 + 2/3*l**5 - 2/3*l**y - 4/3*l**3 + 0*l = 0. What is l?
-1, 0, 2
Suppose 0 = -7*n - 13 - 8. Let z be n*2/(-3)*2. Factor -8 - 2*o**2 - 15*o**2 + z*o**3 + o**2 + 20*o.
4*(o - 2)*(o - 1)**2
Let g(r) = -28*r + 14. Let n be g(-8). Let b = 1669/7 - n. Find u, given that 3/7*u**4 - b*u + 2/7*u**3 - 2/7*u**2 - 1/7 + 1/7*u**5 = 0.
-1, 1
Let p(x) be the second derivative of -11/18*x**3 - x**2 - 1/12*x**4 - 10*x + 0. Factor p(d).
-(d + 3)*(3*d + 2)/3
Let a(d) be the first derivative of 1/10*d**4 + 2/45*d**3 + 0*d + 0*d**2 + 4/75*d**5 + 12. Determine h so that a(h) = 0.
-1, -1/2, 0
Let g(s) be the third derivative of 0*s**5 + 0*s**7 - 8*s**2 - 1/1200*s**6 + 0*s**4 + 1/3360*s**8 + 0 + 0*s**3 + 0*s. Factor g(a).
a**3*(a - 1)*(a + 1)/10
Let x(w) be the second derivative of -w - 1/12*w**4 + 1/3*w**3 + 0*w**2 + 0. Solve x(t) = 0 for t.
0, 2
Let g(p) be the first derivative of p**5/120 - p**4/12 + 5*p**3/36 - 31*p - 10. Let r(h) be the first derivative of g(h). Factor r(l).
l*(l - 5)*(l - 1)/6
Let j(w) be the third derivative of 34*w**2 - 1/3*w**3 + 0 + 1/12*w**4 + 1/40*w**5 + 0*w. Suppose j(d) = 0. Calculate d.
-2, 2/3
Let l(u) = -u**3 + 5*u**2. Let y = -4 + 7. Let g(v) = -v**3 + 9*v**2. Let c(p) = -p - 12. Let i be c(-5). Let s(j) = i*l(j) + y*g(j). Solve s(n) = 0.
0, 2
Suppose 0 = 36*k + 77*k - 226. Factor 0*h**k + 0 - 1/4*h**4 + 0*h + 0*h**3.
-h**4/4
Let k(f) = f**4 + 2*f**3 - 54*f**2 - 230*f - 268. Let h(p) = 2*p**4 + 4*p**3 - 107*p**2 - 459*p - 534. Let t(c) = -6*h(c) + 11*k(c). Let t(a) = 0. What is a?
-4, -2, 8
Determine h so that 10*h + 5 + 8*h**2 + 0 + 2*h**2 - 2*h**2 - 3*h**2 = 0.
-1
Let x(m) be the third derivative of -m**5/12 + 95*m**4/24 + 2*m**2 + 96*m. Find l such that x(l) = 0.
0, 19
Let s(h) = -4*h - 1. Let p be (-9 + 4)/(-5)*-1. Let t be s(p). Determine l, given that -8/7*l + 6/7*l**4 - 4/7*l**2 + 8/7*l**t - 2/7 = 0.
-1, -1/3, 1
Let g(t) be the second derivative of -t**6/120 - t**5/80 + t**4/24 - 126*t. Solve g(s) = 0 for s.
-2, 0, 1
Determine m, given that 6*m + 72/5 + 3/5*m**2 = 0.
-6, -4
Let w(b) = -2*b**2 - 24*b + 44. Let m(h) = -5*h**2 - 49*h + 91. Let y(l) = 4*m(l) - 9*w(l). Determine z, given that y(z) = 0.
2, 8
Let r(n) be the third derivative of 0*n + 0 - 3/64*n**4 + 1/160*n**5 + 16*n**2 - 1/4*n**3. Suppose r(q) = 0. Calculate q.
-1, 4
Let u(a) = -5*a**3 + 25*a**2 + 63*a + 37. Let s(j) = -51*j**3 + 249*j**2 + 630*j + 372. Let x(c) = 2*s(c) - 21*u(c). Factor x(w).
3*(w - 11)*(w + 1)**2
Factor 16/15 - 2/15*g**2 - 14/15*g.
-2*(g - 1)*(g + 8)/15
Factor -14283/2*d**2 - 3/2*d**4 - 207*d**3 + 0*d + 0.
-3*d**2*(d + 69)**2/2
Solve -12*m + 46*m**3 - 22*m**3 - 27*m**4 + 49*m**2 + 4*m**5 - 81*m**2 + 33*m**3 = 0 for m.
-1/4, 0, 2, 3
Factor 3 - 8 - 2620*u**2 - 7 + 2612*u**2 - 26*u - 8.
-2*(u + 2)*(4*u + 5)
Let c = -9496 + 9496. Determine p, given that -2/11*p**2 - 2/11*p + c = 0.
-1, 0
Let c(w) = w + 19. Let l be c(-17). Suppose 0*t + 8*t**4 + 4*t - 4*t**l + 3*t**2 + 11*t**2 - 22*t**3 = 0. Calculate t.
-1/4, 0, 1, 2
Let r be 13 - (-357)/(-84) - (6 + (-3 - -2)). Suppose 5/4*i**2 + 0 - 5/4*i**4 - r*i**3 + 15/4*i = 0. Calculate i.
-3, -1, 0, 1
Let u be 7 - 4 - (-3)/(-3). Solve -17 - 9*c + 6*c**2 + 15 + c**2 - u*c**2 = 0 for c.
-1/5, 2
Let l be ((-9)/(-8))/(25/1500) - (2 - -6). Find a, given that -3/2*a**5 + 49*a**2 - 20*a**4 + 0*a + 0 - l*a**3 = 0.
-7, 0, 2/3
Let h = 8442 + -8442. Let 0*b + h + 3/2*b**2 = 0. Calculate b.
0
Let z(u) be the first derivative of u**4/4 - u**3/3 - u**2 + 70. Let z(v) = 0. Calculate v.
-1, 0, 2
Let s = -117 + 53. Let h = 66 + s. What is f in -4/3 - 1/3*f**h - 4/3*f = 0?
-2
Let w(q) be the third derivative of q**11/66528 - q**9/6048 + q**7/1008 - 11*q**5/60 + 6*q**2. Let b(p) be the third derivative of w(p). Factor b(d).
5*d*(d - 1)**2*(d + 1)**2
Let h = 19/12 + -5/4. Let p = -217/3 + 73. Factor -1/3*q**2 - h*q + p.
-(q - 1)*(q + 2)/3
Suppose -9*u - 118 - 1547 = 0. Let b = u + 1297/7. Factor 8/7*s + 8/7 + b*s**2.
2*(s + 2)**2/7
Let q(m) be the second derivative of -m**5/100 + m**4/20 + m**3/5 - 4*m**2/5 + 66*m - 3. Find p such that q(p) = 0.
-2, 1, 4
Let p = 134 - 133. Let v(i) = -i**4 + i**2 + i - 1. Let c(r) = r**5 - r**4 + 3*r**3 - 3*r**2 - 2*r + 2. Let b(g) = p*c(g) + 2*v(g). Find d such that b(d) = 0.
0, 1
Let i(b) be the third derivative of b**6/120 + b**5/10 + 5*b**4/24 + 53*b**2. Suppose i(q) = 0. What is q?
-5, -1, 0
Let p(d) = -5*d**3 + 40*d**2 - 33*d - 1. Let z(i) = i**3 - 4*i**2 + i + 1. Let g(c) = p(c) + z(c). Find y such that g(y) = 0.
0, 1, 8
Let l(p) be the second derivative of -p**6/324 - 7*p**5/540 - p**4/54 - p**3/2 + 10*p. Let z(d) be the second derivative of l(d). Suppose z(h) = 0. What is h?
-1, -2/5
Let l(t) = -t**3 - 2*t**2 - 4*t - 3. Let u be l(-3). Suppose -2*z + 7 = -5*p + 26, -3*p = z - u. Factor 0 - 3/2*h**z + 3/2*h**2 + 3*h.
-3*h*(h - 2)*(h + 1)/2
Suppose -31*y - 34 = -48*y. Let d = -114 - -1030/9. Factor 2/9*p - 4/9*p**3 - 2/9*p**4 + d*p**y - 2/9 + 2/9*p**5.
2*(p - 1)**3*(p + 1)**2/9
Suppose -2*o = -0*o + 4*r - 62, -5*o - 4*r = -125. Suppose -22*a + o*a = -2. Let -a*i - 2/3*i**2 - 4/3 = 0. Calculate i.
-2, -1
Let f(v) be the first derivative of 1/3*v**2 - 2/3*v - 14 - 1/18*v**3. Factor f(w).
-(w - 2)**2/6
Let q(d) be the third derivative of -d**7/1050 - 7*d**6/100 + 11*d**5/25 - 67*d**4/60 + 3*d**3/2 - 269*d**2. Suppose q(b) = 0. Calculate b.
-45, 1
Factor 2*w**3 - 4/5*w**2 + 14/5*w**4 + 0*w + 0.
2*w**2*(w + 1)*(7*w - 2)/5
Let j(f) be the second derivative of 1/28*f**4 - 1/7*f**3 + 0 + 0*f**2 + 11*f. Let j(g) = 0. What is g?
0, 2
Let p be ((-3)/(-2))/(-4 + 105/24). Suppose 0 = 5*v + c - 15, -13 = 2*v + 5*c + p. Factor 0 - 1/2*b + 1/2*b**v + 1/2*b**3 - 1/2*b**2.
b*(b - 1)*(b + 1)**2/2
Let q = -2/17 - -47/255. Let f(o) be the second derivative of -1/60*o**4 + q*o**3 + 0 + 3/10*o**2 + 4*o. Let f(m) = 0. Calculate m.
-1, 3
Let m(f) be the second derivative of -2*f**7/21 - f**6/3 + f**5/10 + 7*f**4/6 + f**3/3 - 2*f**2 + 3*f + 11. Suppose m(g) = 0. What is g?
-2, -1, 1/2, 1
Let s be (((22 + -24)/(-8))/((-1)/(-6)))/3. Suppose -2 - s*m**2 - 5/2*m = 0. Calculate m.
-4, -1
Let f(y) be the first derivative of y**6/54 - 2*y**5/45 - y**4/12 + 4*y**3/27 + 2*y**2/9 + 101. Let f(l) = 0. What is l?
-1, 0, 2
Let k(a) = 17*a**4 + 17*a**3 - 57*a**2 - 32*a + 73. Let n(u) = 8*u**4 + 8*u**3 - 28*u**2 - 16*u + 36. Let v(h) = 4*k(h) - 9*n(h). What is o in v(o) = 0?
-2, 1, 2
Let l be 2/8 - 1092/(-336). Factor 11/4*g**2 + 1 + l*g + 5/8*g**3.
(g + 2)**2*(5*g + 2)/8
Factor 205/4 + 5/4*v**2 - 105/2*v.
5*(v - 41)*(v - 1)/4
Factor -6*q - 440*q**3 - 39*q - 80*q**4 - 525*q**2 - 135*q.
-5*q*(q + 4)*(4*q + 3)**2
Let u(k) be the second derivative of -k**5/10 - 10*k**4/33 + 4*k**3/33 - 38*k + 1. Suppose u(o) = 0. Calculate o.
-2, 0, 2/11
Let c(z) = -4*z**2 - 4*z - 4. Let a(s) be the third derivative of -2*s**5/15 - 3*s**4/8 - 7*s**3/6 - 15*s**2. Let m(u) = -4*a(u) + 7*c(u). Factor m(y).
4*y*(y + 2)
Suppose -5*b + 0*d + 5*d + 25 = 0, 0 = -2*d. Suppose -b*n - 15 = -30. Determine h, given that -18/5 + h**n - 32/5*h**2 + 57/5*h = 0.
2/5, 3
Let d(i) = -74*i**3 + 1600*i**2 - 6961*i - 8656. Let g(a) = -49*a**3 + 1067*a**2 - 4640*a - 5771. Let m(s) = 5*d(s) - 7*g(s). Let m(t) = 0. What is t?
-1, 31/3
Let l(g) be the second derivative of -3/16*g**5 + 5/8*g**3 + 0 - 2*g - 3/4*g**2 + 1/8*g**4. Find t such that l(t) = 0.
-1, 2/5, 1
Let w(s) = 3*s**2 - 2*s. Let g = 7 - 5. Let v(q) = -q - 3*q + g*q + 3*q - q**2. Let c(x) = -15*v(x) - 6*w(x). Factor c(n).
-3*n*(n + 1)
Let a(h) = 21*h - 1 - 2 - 2*h - 9*h**2. Let q(u) = 5*u**2 - 2 