 + 0*z**3 - 1/30*z**5. Factor g(p).
-2*p*(p + 1)*(5*p + 2)/7
Let d(z) = -z**5 + 5*z**4 - 6*z**3 + z**2 + z + 3. Let p(j) = 3*j**4 - 5*j**3 + j**2 + j + 4. Let k(x) = 4*d(x) - 3*p(x). Factor k(h).
-h*(h - 1)**3*(4*h + 1)
Let p(x) be the second derivative of -x**7/70 + x**6/4 - 17*x**5/20 + x**4 - 22*x**2 - 33*x. Let y(u) be the first derivative of p(u). Factor y(t).
-3*t*(t - 8)*(t - 1)**2
Let y(j) be the second derivative of -j**5/4 - 35*j**4/12 + 5*j**3/6 + 35*j**2/2 - 132*j. Solve y(v) = 0.
-7, -1, 1
Let a(q) be the first derivative of 2*q**3 - 7/2*q**2 - 2/5*q**5 + 2*q + 1/4*q**4 + 2. Factor a(m).
-(m - 1)**2*(m + 2)*(2*m - 1)
Let w(m) be the second derivative of -1/40*m**5 + 0*m**2 - 7/12*m**4 + 1/3*m**3 + 7/120*m**6 + 0 - 14*m. Determine n, given that w(n) = 0.
-2, 0, 2/7, 2
Let u(d) be the third derivative of d**10/30240 + d**9/12096 + 8*d**5/15 - 32*d**2. Let s(x) be the third derivative of u(x). Let s(t) = 0. Calculate t.
-1, 0
Let i(r) be the first derivative of -2*r**5/65 + 5*r**4/26 - 16*r**3/39 + 4*r**2/13 + 42. Factor i(h).
-2*h*(h - 2)**2*(h - 1)/13
Suppose -2*c = -4*o - 4, -o - 4*c = 1 - 9. Let x(i) be the second derivative of -6*i + 0*i**4 + o*i**2 - 3/20*i**5 + 0 + 1/2*i**3. Find y such that x(y) = 0.
-1, 0, 1
Find y such that 17689 - 266*y - 304*y**2 + 146*y**2 + 159*y**2 = 0.
133
Let c(a) be the second derivative of a**5/40 + a**4/24 - 5*a**3/6 + 2*a**2 + 2*a + 24. What is q in c(q) = 0?
-4, 1, 2
Let n(c) be the first derivative of 1/8*c + 1/4*c**2 + 1/8*c**3 - 9. Solve n(l) = 0 for l.
-1, -1/3
Suppose -3*g - 8 + 20 = 0, -3*y + 28 = 4*g. Solve 0*z**2 + 2/13*z**3 - 2/13*z**5 + 0*z**y + 0 + 0*z = 0 for z.
-1, 0, 1
Let a be 86/(-84) - (-63)/54. Factor -1/7*d**2 - a*d + 1/7*d**3 + 1/7.
(d - 1)**2*(d + 1)/7
Factor 2/7*k**2 - 452/7*k + 25538/7.
2*(k - 113)**2/7
Suppose -54*h = 52*h - 97*h. What is r in 11/8*r**4 - 5/4*r**5 - 1/4*r - 5/8*r**2 + h + 3/4*r**3 = 0?
-1/2, -2/5, 0, 1
Let c be (-12)/6 + 7 + 0. Let 19*k**5 + 3*k**4 - 37*k**c + k**4 = 0. What is k?
0, 2/9
Factor 221085*b**5 + 0*b + 5/3*b**2 + 255*b**3 + 13005*b**4 + 0.
5*b**2*(51*b + 1)**3/3
Let h(w) = 2*w - 28. Let c be h(15). Let x be (-10)/(-2) - (3 - 3). Factor t**2 - x*t**3 + t + c*t**3 + t.
-t*(t - 1)*(3*t + 2)
Let o be ((10/(-105))/(21/(-18)))/((-62)/(-868)). Solve o*n**2 + 4/7 + 10/7*n + 2/7*n**3 = 0 for n.
-2, -1
Determine n so that 78*n**2 + 33*n**3 - 3*n**5 + 96 + n - 12*n**4 + 55*n - 71*n - 82*n - 95*n = 0.
-4, 1, 2
Let c(l) be the second derivative of 7/10*l**5 + 11*l + 0 + 7/6*l**4 - 4/21*l**3 - 4/7*l**2. Solve c(z) = 0.
-1, -2/7, 2/7
Let r(s) = s**3 + 2*s**2 - s - 5. Let u be r(-4). Let w = -29 - u. Factor -6*d + 3*d - d + w*d**2.
4*d*(d - 1)
Let m = 2341/6 + -16363/42. Determine n so that m*n**2 + 12/7 + 16/7*n = 0.
-3, -1
Factor -145/2*d**2 - 125/4 - 1/4*d**5 - 53/2*d**3 - 17/4*d**4 - 325/4*d.
-(d + 1)**2*(d + 5)**3/4
Let x be (21/42)/(1/14). Let -x*o**4 + 4*o**3 + 5*o**3 + 2*o**2 - 4*o + o**4 - o**3 = 0. What is o?
-2/3, 0, 1
Solve 296/3 + 2/3*f**2 + 152/3*f = 0.
-74, -2
Let a(i) be the first derivative of i**6/9 - 4*i**5/45 - 11*i**4/9 + 64*i**3/27 - 5*i**2/9 - 4*i/3 + 32. Suppose a(u) = 0. What is u?
-3, -1/3, 1, 2
Suppose 56 + 139 = -3*z. Let l be 1/(-6) - z/78. What is s in 2/3*s**2 + 0 - l*s = 0?
0, 1
Let r = -73 + 81. Suppose -p + r = 6. Factor 4/3*j**p - 2/3*j**3 + 0*j + 0.
-2*j**2*(j - 2)/3
Let y(p) be the first derivative of 1/10*p**4 + 0*p + 0*p**2 - 4/15*p**3 - 20. What is h in y(h) = 0?
0, 2
Let a(v) = 41*v**4 - 45*v**3 - 25*v**2 + 45*v - 10. Let j = 5 - -1. Let f(w) = w**4. Let h(b) = j*f(b) - a(b). Let h(x) = 0. Calculate x.
-1, 2/7, 1
Suppose 107*s - 121*s + 56 = 0. Let j(h) be the third derivative of -3*h**2 + 1/150*h**5 + 0 + 0*h + 1/600*h**6 + 1/120*h**s + 0*h**3. Solve j(t) = 0.
-1, 0
Let g(a) = -30*a**3 - 58*a**2 + 32*a + 64. Let k(x) = -13*x**3 - 25*x**2 + 14*x + 28. Let q(b) = -7*g(b) + 16*k(b). Factor q(h).
2*h**2*(h + 3)
Let n = -29 - -25. Let y be 9/(((-20)/n)/(2/3)). Suppose 0 + 4/5*o**2 - y*o**3 - 1/5*o**5 - 1/5*o + 4/5*o**4 = 0. Calculate o.
0, 1
Let h(t) be the third derivative of t**6/1140 + t**5/38 + 21*t**4/76 + 49*t**3/57 + t**2 - t. Factor h(o).
2*(o + 1)*(o + 7)**2/19
Let x be (-13 - 149/(-11))*38/6. Factor 0 + 12/11*m - 14/11*m**3 + x*m**2.
-2*m*(m - 3)*(7*m + 2)/11
Let y(i) be the first derivative of 2*i**5/5 + i**4 + 2*i**3/3 - 97. Let y(o) = 0. Calculate o.
-1, 0
Let a(x) be the second derivative of -x**4/6 - 2*x**3/3 - 21*x - 2. Suppose a(z) = 0. What is z?
-2, 0
Suppose 330*k = 362*k - 576. Find z such that -18*z - 2/3*z**3 + 6*z**2 + k = 0.
3
Let g(x) be the first derivative of -9*x**4/16 - 17*x**3/4 - 63*x**2/8 + 27*x/4 - 80. Determine q so that g(q) = 0.
-3, 1/3
Let x(s) = 5*s - 1. Let k be x(1). Suppose -k*z + 0*z + 8 = 0. Find q such that 2*q - q + q**z - 2*q = 0.
0, 1
Let q be (5 + 20/(-4) + (-25)/10)/(-5). Let -2*o**2 - 1/2*o**5 + q*o**4 + 3*o**3 + 0 - 4*o = 0. Calculate o.
-2, -1, 0, 2
What is t in -5*t**2 - 50/3*t - 5/3*t**4 + 10*t**3 + 0 = 0?
-1, 0, 2, 5
Let g(r) be the third derivative of 1/66*r**3 + 0*r + 0 - 1/660*r**5 + 0*r**4 - 5*r**2. Solve g(n) = 0.
-1, 1
Factor 5*y**3 + 305*y + 10*y**2 - 310*y - 10 + 0.
5*(y - 1)*(y + 1)*(y + 2)
Let t(s) be the third derivative of -1/5*s**5 + 20*s**2 + 0 + 0*s**3 - 3/8*s**4 + 0*s - 1/40*s**6. Suppose t(n) = 0. What is n?
-3, -1, 0
Suppose 5*p + 4 = 34. Suppose 3*b - 2*b = 6. Suppose -p*q**3 - b - 30*q - 51/2*q**2 = 0. What is q?
-2, -1/4
Let 508*s**3 + 3*s**4 + 26585*s**2 + 1413*s + 202*s**3 + 14553*s + 82014*s + 95220 + 2*s**4 = 0. What is s?
-69, -2
Let q = -1592 - -345. Let g be 2 + 56/(-30) - q/435. Suppose -6/5*h + 2/5*h**g - 4/5*h**2 + 0 = 0. Calculate h.
-1, 0, 3
Let a be (-1 + (-9)/(-18))/((-1)/2). Let z(w) be the first derivative of -1/18*w**3 + 5/12*w**2 - 2/3*w + a. Solve z(f) = 0 for f.
1, 4
Let h(j) = 4*j - 4*j**3 - 6*j - 35*j**2 + 14*j**2 - 6*j. Let w(l) = -l**3 - 5*l**2 - 2*l. Let d(f) = -2*h(f) + 9*w(f). Factor d(y).
-y*(y + 1)*(y + 2)
Let t(n) = -2*n**4 + n**2 + n. Let y(c) = 8*c**4 - 66*c**3 - 577*c**2 - 389*c + 1024. Let k(i) = -10*t(i) - 2*y(i). Let k(m) = 0. What is m?
-16, -2, 1
Let o(a) be the third derivative of a**7/210 - a**6/20 + 3*a**5/20 + a**2. Factor o(t).
t**2*(t - 3)**2
Factor 2/15*f**2 + 384/5 + 32/5*f.
2*(f + 24)**2/15
Let v be (-10)/85 + 3915/765 + (-186)/38. Determine w so that 0 + v*w**2 + 8/19*w = 0.
-4, 0
Suppose -212 = -17*x - 178. Find d, given that 8/9 - 2/9*d**3 - 2/9*d**x + 8/9*d = 0.
-2, -1, 2
Suppose 0 = 11*k - 62 + 7. Let v(a) be the second derivative of 1/12*a**3 - 1/40*a**k + 0 + 1/24*a**4 + 3*a - 1/4*a**2. Factor v(q).
-(q - 1)**2*(q + 1)/2
Let n = -369 - -374. Let g(q) = -q. Let a be g(-2). Find k, given that 2*k**2 + k**2 + n*k**3 + k**a - k**3 = 0.
-1, 0
Let n(q) be the second derivative of 1/3*q**4 + 0 + 29*q - 1/3*q**3 - 2*q**2 + 1/10*q**5. Determine z, given that n(z) = 0.
-2, -1, 1
Suppose 8*d - 5*d + 3*v - 3 = 0, 0 = 5*v + 15. Factor 2/3*c**2 - 2/3*c**3 + 2/3*c**5 + 0 + 0*c - 2/3*c**d.
2*c**2*(c - 1)**2*(c + 1)/3
Let q = -206 + 209. Let r(i) be the first derivative of 2/9*i**q + 2 + 0*i - 2/3*i**2. Factor r(s).
2*s*(s - 2)/3
Let p = 410 + -403. Let y(k) be the second derivative of 1/30*k**5 - 1/9*k**3 + p*k + 0 - 2/3*k**2 + 1/9*k**4. Solve y(c) = 0 for c.
-2, -1, 1
Let q be (5 + -6 + 5)*1/2. Let x(z) be the first derivative of -5/4*z**3 + 3/4*z**2 + 3/4*z**4 + 0*z - q - 3/20*z**5. Factor x(m).
-3*m*(m - 2)*(m - 1)**2/4
Let p(l) be the third derivative of -l**5/80 + 3*l**4/16 - 5*l**3/8 - 116*l**2. Factor p(d).
-3*(d - 5)*(d - 1)/4
Let b(c) be the first derivative of 0*c**2 + 2*c**3 + 9 - 3/4*c**4 + 0*c. Determine v so that b(v) = 0.
0, 2
Factor -44 + 92*k + 6*k**2 - 16 + k**3 + 84*k - 183*k.
(k - 3)*(k + 4)*(k + 5)
Factor 0*u - 7/2*u**2 - 1/2*u**3 + 0.
-u**2*(u + 7)/2
Let r(c) be the second derivative of -c**6/105 + 50*c**5/7 - 15625*c**4/7 + 7812500*c**3/21 - 244140625*c**2/7 - 2*c + 157. Let r(t) = 0. What is t?
125
Let s(u) = u**2 + 9*u - 44. Let r(d) = 3*d - 15. Let q(c) = -17*r(c) + 6*s(c). Suppose q(x) = 0. Calculate x.
-3/2, 1
Let i(r) be the third derivative of -5*r**9/3024 - r**8/168 - 4*r**3/3 + 18*r**2. Let x(n) be the first derivative of i(n). Factor x(a).
-5*a**4*(a + 2)
Let b(k) = k**2 +