2*t**r = 0. Calculate t.
-1, 1
Solve -2/11*m - 16/11*m**2 + 8/11 + 4/11*m**3 - 2/11*m**5 + 8/11*m**4 = 0.
-1, 1, 4
Let n(m) be the third derivative of 0*m + 0 - 5/54*m**4 + 10*m**2 - 1/270*m**5 - 25/27*m**3. Factor n(k).
-2*(k + 5)**2/9
What is u in -54 + 21*u**2 - 115*u**4 + 112*u**4 - 9*u**3 + 3*u + 42*u = 0?
-3, 1, 2
Let o be 13 - ((-329)/(-42) - -5). Let c(f) be the second derivative of o*f**3 - 1/12*f**4 + 0 + 0*f**2 + 12*f. Factor c(q).
-q*(q - 1)
Let 11/4*x**2 + 23/4*x**3 + 9/4*x**4 - 5 - 6*x + 1/4*x**5 = 0. Calculate x.
-5, -2, -1, 1
Let h(w) be the first derivative of 2/5*w + 19 - 1/30*w**3 + 1/40*w**4 - 1/5*w**2. Factor h(a).
(a - 2)*(a - 1)*(a + 2)/10
Let c = 307 - 306. Suppose -2*r + 7 = j, -r - j + 6 = 2*j. Suppose -5/4*i**2 - c + 2*i + 1/4*i**r = 0. What is i?
1, 2
Let v = 209/69 - -8117/69. Let m = 122 - v. Factor 8/3 - 4/3*d - m*d**2.
-4*(d - 1)*(d + 2)/3
Let u(r) be the third derivative of 1/12*r**4 + 1/420*r**6 + 1/7*r**3 + 1/42*r**5 + 0 + 0*r - 7*r**2. Find z such that u(z) = 0.
-3, -1
Let b(i) = 2*i + 36. Let y be b(-15). Suppose -5*s = -2*a - y, -a + 0*s = 3*s - 8. Determine j so that -9/4*j + 0 - 3/4*j**a = 0.
-3, 0
Let y = 55 + -52. Let z(h) = h + 1. Let n(d) = -490*d**3 - 35*d**2 + 103*d + 23. Let w(x) = y*z(x) - n(x). Suppose w(a) = 0. What is a?
-2/7, 1/2
Let f = -2152 - -2155. Factor 6/5*k**2 - 2/5*k**f + 2/5 - 6/5*k.
-2*(k - 1)**3/5
Let s(m) = -8*m**2 - 92*m - 1058. Let f(o) = -7*o**2 - 92*o - 1058. Let i(j) = -6*f(j) + 5*s(j). Solve i(a) = 0 for a.
-23
Let z(n) = -4*n**2 + 13*n + 24. Let l be z(8). Let v be 4/(-14)*224/l. What is f in v*f + 0 - 7/4*f**3 + 5/4*f**2 = 0?
-2/7, 0, 1
Suppose -12*j = -20*j + 40. Suppose -4*z - 5*r + 9 = 29, -20 = -5*z + j*r. Factor 2/3 - 2*a**4 - 4*a**2 + 16/3*a**3 + z*a.
-2*(a - 1)**3*(3*a + 1)/3
Let r(v) be the third derivative of 0*v + 2/315*v**7 + 49*v**2 + 0*v**3 - 1/504*v**8 + 0 + 0*v**4 + 1/45*v**6 - 4/45*v**5. What is o in r(o) = 0?
-2, 0, 2
Factor -2/15*f + 0*f**2 + 0 + 2/15*f**3.
2*f*(f - 1)*(f + 1)/15
Let l(b) = -16*b - 4. Let a be l(18). Let n = 587/2 + a. Factor -n*x**2 + 9/2 + 3*x.
-3*(x - 3)*(x + 1)/2
Let g(k) be the third derivative of -k**5/80 + 9*k**4/32 - 7*k**3/4 + 123*k**2. Factor g(i).
-3*(i - 7)*(i - 2)/4
Let h be (-13 - 0)*(6 + -8). Let s = h + -49/2. Factor 3/2*c + 3 - s*c**2.
-3*(c - 2)*(c + 1)/2
Let m = -2661 - -149017/56. Let o(x) be the third derivative of 0*x**3 + 0 + 0*x + 8*x**2 - 1/140*x**5 - 1/280*x**6 + m*x**4 + 1/490*x**7. Factor o(a).
3*a*(a - 1)**2*(a + 1)/7
Let s(d) be the first derivative of 0*d - 2*d**5 - 13 + 0*d**2 - 25/8*d**4 - 5/6*d**3. Factor s(i).
-5*i**2*(i + 1)*(4*i + 1)/2
Let z(g) = g**3. Let s(w) = -5*w**3 + w**2 - 5*w + 3. Let f(n) = -s(n) - 6*z(n). Factor f(t).
-(t - 1)**2*(t + 3)
Let i(y) be the third derivative of -y**5/60 - 17*y**4/8 + 53*y**3/3 - 673*y**2 - 2. Find v such that i(v) = 0.
-53, 2
Let k(o) be the first derivative of -2/3*o**3 + 0*o - 3/2*o**2 + 6 + 1/60*o**5 + 0*o**4. Let z(x) be the second derivative of k(x). Factor z(q).
(q - 2)*(q + 2)
Let o(m) = 2*m**2 - 38*m - 29. Let v be o(18). Let d be v/(-21) + 10/(-105). Factor 0*z**d - 2/9*z**5 + 0*z**2 + 0*z + 1/9*z**4 + 0.
-z**4*(2*z - 1)/9
Let c(l) be the first derivative of 4*l**3/3 - 16*l**2 + 64*l - 7. Factor c(k).
4*(k - 4)**2
Factor 2006*d**2 - 27*d**3 - 229 + 1198*d**2 + 483*d - 4032*d**2 - 155 + 657*d.
-3*(d + 32)*(3*d - 2)**2
Factor -42*j**2 + 30 - 5*j**3 + 25*j - 40*j**2 - 43*j**2 + 115*j**2.
-5*(j - 2)*(j + 1)*(j + 3)
Let u(a) = -5*a**3 + 4*a**2 + 6*a. Let j(k) = -k**3 + k**2 + k. Suppose -2*h = -0*h - 2, 2*l - 4*h = -14. Let p(v) = l*u(v) + 30*j(v). Solve p(x) = 0 for x.
0, 2
Suppose 2*i - 720 = -2*i. Let n be 2/5 + (-4)/i*3. Factor 0 - 1/3*h**5 + 0*h**4 + 0*h + 0*h**2 + n*h**3.
-h**3*(h - 1)*(h + 1)/3
What is z in 7*z**4 + z - 22*z - 1 - 17 - 51*z**3 + 2*z**4 + 81*z**2 = 0?
-1/3, 1, 2, 3
What is k in 0*k + 0 + 1/5*k**4 - 4/5*k**3 + 4/5*k**2 = 0?
0, 2
Let j(c) = c**2 - 14*c + 56. Let p be j(6). Let g(b) be the second derivative of 1/6*b**4 + 0*b**2 - p*b + 0 - 2/3*b**3. Find t such that g(t) = 0.
0, 2
Let n(l) be the second derivative of l**4/36 - 17*l**3/18 + 35*l**2/3 - 675*l. Factor n(u).
(u - 10)*(u - 7)/3
Let v(h) be the third derivative of -4/27*h**4 + 0*h**3 + 0*h + 4/135*h**5 + 0 - h**2 - 1/540*h**6. Factor v(u).
-2*u*(u - 4)**2/9
Let z(i) be the third derivative of -i**8/336 - 2*i**7/105 + i**6/40 + 3*i**5/10 + 415*i**2. Determine b so that z(b) = 0.
-3, 0, 2
Let p = 1 - -2. Let x be 4/(-10) + (-18)/(36/(-27) - 2). Find n such that n**x - 7/3*n**p + 5/3*n**4 + 4/3*n + 4/3 - 3*n**2 = 0.
-2, -1, -2/3, 1
Let x(f) be the first derivative of -f - 1/48*f**4 + 1/4*f**2 + 1/24*f**3 + 5. Let p(w) be the first derivative of x(w). Factor p(d).
-(d - 2)*(d + 1)/4
Find t, given that -1/9*t**2 - 7/9*t - 2/3 = 0.
-6, -1
Let d(t) be the third derivative of -t**8/1680 - t**7/75 - 59*t**6/600 - 29*t**5/150 + t**4/2 + 12*t**3/5 - 90*t**2. Let d(j) = 0. Calculate j.
-6, -2, -1, 1
Let d(k) be the first derivative of -k**3/7 + 9*k**2/14 + 12*k + 109. Suppose d(h) = 0. What is h?
-4, 7
Suppose 3*a = 2*x - 9, -x + a = -4*x - 14. Let q = 0 - x. Factor -3*l**3 + 10*l**2 - l**5 + 4*l + 9*l**q + 0*l**3 - l**5 - 2*l**4.
-2*l*(l - 2)*(l + 1)**3
Let c(m) be the first derivative of 2*m**5/75 + m**4/6 + 2*m**3/5 + 7*m**2/15 + 4*m/15 - 34. Suppose c(v) = 0. Calculate v.
-2, -1
Let j(n) be the first derivative of -2/15*n**3 - 5 + 0*n + 2/5*n**2. Factor j(t).
-2*t*(t - 2)/5
Let r(y) be the second derivative of y**7/42 + 2*y**6/15 - 4*y**4/3 - 8*y**3/3 - 2*y + 95. Factor r(p).
p*(p - 2)*(p + 2)**3
Let o(x) = -3*x**2 - 693*x + 15455. Let z(c) = -c**2 - 173*c + 3863. Let g(h) = 6*o(h) - 22*z(h). Factor g(j).
4*(j - 44)**2
Let f(y) = 46*y**3 - y**2 + y - 2. Let u be f(1). Let d be 78/(-104) + 65/u. Solve d*o + 14/11*o**5 - 42/11*o**3 - 4/11*o**4 + 0 - 16/11*o**2 = 0.
-1, 0, 2/7, 2
Let w be 1 - (26/39)/(15/9). Determine y, given that -3/5 - 3*y - 3*y**5 + 6*y**3 - w*y**4 + 6/5*y**2 = 0.
-1, -1/5, 1
Suppose -72/11 + 38/11*y**2 - 32/11*y - 2/11*y**3 = 0. What is y?
-1, 2, 18
Let z = 34 + -32. Factor -6*o**4 + 10*o**3 + 4*o**4 + 111*o**2 + 8*o - 127*o**z.
-2*o*(o - 2)**2*(o - 1)
Let t = 1083 - 3247/3. Suppose 8/9 - 2/9*p**2 - t*p = 0. What is p?
-4, 1
Let s be (78/65)/((-3)/80). Let h be 1 - (s/8 + (-1 - -4)). Solve 4/3*m**h - 4/3*m**4 + 14/3*m**3 + 0*m - 14/3*m**5 + 0 = 0.
-1, -2/7, 0, 1
Let i be (-6)/4*(-40)/42. Let j = -4539 + 4541. Determine h so that 6/7 + i*h**j + 2/7*h**3 + 2*h = 0.
-3, -1
Let x(s) be the second derivative of -s**5/24 + 85*s**4/72 - 396*s. Suppose x(n) = 0. What is n?
0, 17
Suppose 44*g + 98*g - 368 = -42*g. What is n in -2/9*n**3 - 2/3*n + 10/9*n**g - 2 = 0?
-1, 3
Let w(l) be the second derivative of -l**6/180 - l**5/10 - 3*l**4/4 - l**3/3 + 11*l. Let q(k) be the second derivative of w(k). Factor q(z).
-2*(z + 3)**2
Let y = -1021 - -1021. Factor 1/4*p**4 - 1/4*p**2 + 1/2*p + y - 1/2*p**3.
p*(p - 2)*(p - 1)*(p + 1)/4
Suppose -1 = -5*q + 4*q. Let p(v) = v**3 + 2*v**2 - 2*v + 1. Let m be p(q). Factor -2*j**5 + 2*j**2 + 5*j**m - 2*j**4 - 6*j**2 + 2*j**3 + j**2.
-2*j**2*(j - 1)*(j + 1)**2
Let s(p) be the second derivative of -p**7/630 - p**6/120 - p**5/90 + 7*p**2 - 11*p. Let q(k) be the first derivative of s(k). Factor q(o).
-o**2*(o + 1)*(o + 2)/3
Factor -2799 + 2824*v + 6519*v + 345*v**2 - 12085 - 2389*v - 105*v**2 + 2*v**3.
2*(v - 2)*(v + 61)**2
Factor -2*p**2 + 0 - 1/2*p**3 - 2*p.
-p*(p + 2)**2/2
Find i, given that -32/7*i + 2/7*i**3 - 128/7 + 8/7*i**2 = 0.
-4, 4
Let g(c) = c**5 - c**4 + 1. Let u(a) = 6*a**5 - 45*a**4 + 75*a**3 - 36*a**2 + 3. Let y(l) = -3*g(l) + u(l). Factor y(r).
3*r**2*(r - 12)*(r - 1)**2
Let q(s) be the first derivative of s - 25 + 1/4*s**2 - 1/6*s**3. Factor q(a).
-(a - 2)*(a + 1)/2
Factor 25/2 + 5/4*x**2 + 55/4*x.
5*(x + 1)*(x + 10)/4
Suppose 8 = 86*h - 82*h, -10 = -4*i - h. Factor 4/5*b + 0 + 14/5*b**i.
2*b*(7*b + 2)/5
Let v(n) be the third derivative of n**5/150 - n**4/10 - 16*n**3/15 - 228*n**2. What is c in v(c) = 0?
-2, 8
Let v(a) = -6*a**2 + 4. Let w be 2/12 - (-115)/30. Let z(g) = 7*g**2 - 5. Let n(r) = w*z(r) + 5*v(r). Factor n(h).
-2*h**2
Factor -14/13*l**2 + 0*l**3 + 0 + 12/13*l + 2/13*l**4.
2*l*(l - 2)*(l - 1)*(l + 3)/13
Solve 0 + 