v = -9 + d. Factor -3*c - 4*c**3 + 3*c**2 + 2*c**v + c**2 + c**3.
-3*c*(c - 1)**2
Suppose -28*q**2 + 4*q**3 - 336 + 24*q + 336 = 0. What is q?
0, 1, 6
Let g be 4 - 1 - 1 - -6. Suppose 0 = d - 32 + g. Factor -4*l**4 - 5*l**4 + d*l**3 + 8*l - 1 - 22*l**2 + 0*l**4.
-(l - 1)**2*(3*l - 1)**2
Let b = -23/5 - -351/10. Let o = -29 + b. Factor -1/2*h**3 + 0*h**2 - 1 + o*h.
-(h - 1)**2*(h + 2)/2
Factor 59*j**3 - 7*j - 29*j**2 - 84*j**3 - 15 - 3*j**4 + 15.
-j*(j + 1)*(j + 7)*(3*j + 1)
Let s(i) be the first derivative of 2*i**5/45 - 17*i**4/9 + 22*i**3/9 + 476. Factor s(z).
2*z**2*(z - 33)*(z - 1)/9
Let z(y) be the third derivative of y**6/24 - y**5/12 - 5*y**4/12 - 2*y**2 - 50. What is w in z(w) = 0?
-1, 0, 2
Let r = 8587/8 + -1073. Solve 9/8*g**3 - 3/8*g**4 - r*g**2 - 9/8*g + 3/4 = 0 for g.
-1, 1, 2
Let k(r) be the first derivative of 2/5*r**5 + 1/7*r**4 + 0*r**3 + 5/21*r**6 + 12 + 0*r**2 + 0*r. Factor k(v).
2*v**3*(v + 1)*(5*v + 2)/7
Solve 2/7*k**3 + 0 + 16/7*k**2 + 2*k = 0 for k.
-7, -1, 0
Factor 9*d**3 - 14*d**2 + 4*d**2 - 15*d + 5*d**3 + 8*d**3 - 17*d**3.
5*d*(d - 3)*(d + 1)
Suppose 0*p + 30 = -2*p. Let o = -12 - p. Factor 3*n**2 - 5*n + o + 0*n - n.
3*(n - 1)**2
Let g(a) be the second derivative of 4/9*a**3 + 1/6*a**4 - a + 7/90*a**6 - 4/15*a**5 - 5/6*a**2 - 13. What is v in g(v) = 0?
-5/7, 1
Factor 600 + 3/2*r**4 + 36*r**3 + 720*r + 276*r**2.
3*(r + 2)**2*(r + 10)**2/2
Let g(d) = -d**4 - 24*d**3 + 154*d**2 - 380*d + 243. Let t(r) = -6*r**4 - 121*r**3 + 769*r**2 - 1901*r + 1215. Let z(h) = -22*g(h) + 4*t(h). Factor z(j).
-2*(j - 9)**2*(j - 3)*(j - 1)
Let s be (-84)/(-1344)*2*4. Determine z, given that -s*z**4 - 3/2 + 5*z - 6*z**2 + 3*z**3 = 0.
1, 3
Let c = -363 - -9805/27. Let s(w) be the third derivative of 0*w - c*w**3 + 0 - 4/27*w**4 + w**2 + 1/30*w**5. Solve s(f) = 0 for f.
-2/9, 2
Let j = -32329 - -32329. Solve 2/5*v**2 + j + 12/5*v = 0.
-6, 0
Let w(y) be the first derivative of -8 - 15/4*y**2 - 5/8*y**4 + 1/2*y**5 - 25/6*y**3 + 0*y. Solve w(q) = 0.
-1, 0, 3
Let f be (928/56 - 16) + 44/70. Let n be -2 - -2 - (0 - 0). Find w such that 8/5*w**5 + n*w**2 - f*w**4 + 0 + 0*w - 2/5*w**3 = 0.
-1/4, 0, 1
Let l(a) be the third derivative of -a**7/525 + a**6/60 - 2*a**5/75 + 179*a**2 + a. Factor l(h).
-2*h**2*(h - 4)*(h - 1)/5
Let n be -4*(1 + -2)*1. Let o(t) be the third derivative of 1/12*t**n - 2/75*t**5 - 1/15*t**3 + 0*t + 0 - 7*t**2. Factor o(x).
-2*(x - 1)*(4*x - 1)/5
Let d(t) be the third derivative of -2*t**6/39 + 3*t**5/130 + 25*t**4/156 + 2*t**3/13 + 10*t**2 - 13*t. Let d(p) = 0. What is p?
-2/5, -3/8, 1
Let b = -47 - -49. Factor 10*j + 3*j**4 - 10*j**3 - 6*j**2 + j**2 + b*j**4.
5*j*(j - 2)*(j - 1)*(j + 1)
Suppose 12*s - 4*s - 1544 = 0. Let t = s + -192. Factor 1/4*c**2 + t - 5/4*c.
(c - 4)*(c - 1)/4
Let k(i) be the second derivative of 1/90*i**5 + 0*i**3 + 1/27*i**4 - 2*i - 1/135*i**6 + 0*i**2 + 0. Factor k(h).
-2*h**2*(h - 2)*(h + 1)/9
Let r(u) be the second derivative of 1/3*u**4 + 0*u**2 + 2/3*u**3 + 0 + 12*u. Factor r(s).
4*s*(s + 1)
Let d(x) be the third derivative of x**7/14 - 33*x**6/40 + 3*x**5/10 + 17*x**4/2 + 12*x**3 - 146*x**2. Let d(k) = 0. Calculate k.
-1, -2/5, 2, 6
Let c(g) = g**3 - 6*g**2 - 6*g - 5. Let w be c(7). Suppose 2*o + w = 3*o. Factor -2*p**5 - 2*p**2 - 4*p**3 + 4*p**3 + o*p**4 + 2*p**3.
-2*p**2*(p - 1)**2*(p + 1)
Suppose 0 = 2*k - 2*n + 4, -n - 7 = 4*k - 19. Factor -9/4*j + 1/2 - 5/4*j**3 + 3*j**k.
-(j - 1)**2*(5*j - 2)/4
Let p(r) = -r + 4. Let g be p(9). Let t(c) = 3*c**3 + 4*c**2 + 2. Let y(m) = -7*m**3 - 9*m**2 - 5. Let i(n) = g*t(n) - 2*y(n). Factor i(b).
-b**2*(b + 2)
Let k be (-66)/(-8) + (-3)/(-4). Let j = -7 + k. Let z**2 - 1 - 4*z**j - 9*z - 5 + 0 = 0. Calculate z.
-2, -1
What is k in -41*k**2 + 5 + 24*k + 9*k**2 + 27*k**2 = 0?
-1/5, 5
Suppose 4*l - 7 = 5*p + 80, 2*l - 33 = -p. Suppose -4*s + 6 + l = 0. Find m such that -6 - s*m - 2*m**2 + 2 - 4*m + 4*m = 0.
-2, -1
Suppose 5 = -3*m - 3*b - 4, 4*m = -2*b - 2. Factor -2*w + 3*w**m + 0*w**2 + 14*w + 9.
3*(w + 1)*(w + 3)
Let n = -59 + 57. Let d be ((-18)/24)/(9/n). Find j, given that 0 - d*j**2 + 1/2*j = 0.
0, 3
Let p(s) be the second derivative of -1/150*s**5 - 32/45*s**3 + 0 + 46*s - 1/9*s**4 - 32/15*s**2. Suppose p(z) = 0. Calculate z.
-4, -2
Suppose -5*x + 146 = -74. Let q be x/33*1/14*3. Solve q*n**3 + 2/7*n**2 - 2/7*n**4 + 0 + 0*n - 2/7*n**5 = 0 for n.
-1, 0, 1
Let l(m) be the second derivative of 2/3*m**3 + 6*m**2 + 18*m + 0 - 1/5*m**5 - m**4. Find k such that l(k) = 0.
-3, -1, 1
Factor 22/5*g**2 + 104/5 + 1/5*g**3 - 20*g.
(g - 2)**2*(g + 26)/5
Suppose -2*p + 3*x + 33 = 0, 5*x + 61 = 6*p - 2*p. Suppose 0 = -3*o + p - 0. Factor 10/9*g**4 + 10/9*g + 20/9*g**2 + 20/9*g**o + 2/9 + 2/9*g**5.
2*(g + 1)**5/9
Find b, given that 135*b**3 + 38*b**4 - 41*b**4 - 2025*b**2 + 1675*b + 8450*b = 0.
0, 15
Let z(i) be the first derivative of i**5/20 + i**4/6 - 2*i**3/3 - i**2 - 10. Let w(b) be the second derivative of z(b). Factor w(x).
(x + 2)*(3*x - 2)
Let a(w) = -909*w**2 + 912*w - 3. Let t(i) = 455*i**2 - 457*i + 2. Let f(o) = -4*a(o) - 9*t(o). Determine n, given that f(n) = 0.
2/153, 1
Factor 4*h + 23*h**2 - 3*h**4 + h**3 - 6*h**3 - 11*h - 5*h + h**5 - 4*h**3.
h*(h - 4)*(h - 1)**2*(h + 3)
Let h(v) be the third derivative of -v**7/420 + 7*v**5/120 + v**4/8 + 4*v**2 - 57*v. Find m, given that h(m) = 0.
-2, -1, 0, 3
Let m(n) = 0*n + 2*n - 16 - n**2 + 34. Let a be m(-3). Factor 12/7*f**a - 5/7*f**4 - 6/7*f + 0 + 11/7*f**2.
-f*(f - 3)*(f + 1)*(5*f - 2)/7
Let h = -69 + 73. Find s, given that -50*s**4 + 62*s**3 - 36*s**3 + 2*s**4 - h*s**2 + 18*s**5 = 0.
0, 1/3, 2
Let s(u) = -7*u**2 + 25*u. Let a(r) = -3*r**2 + 12*r. Let p(i) = 10*a(i) - 4*s(i). Suppose p(c) = 0. What is c?
0, 10
Let z = 240 + -232. Let m(j) be the first derivative of -2/3*j**3 + 0*j**2 + 0*j - 21/10*j**5 - 3/4*j**6 - 2*j**4 - z. Let m(w) = 0. Calculate w.
-1, -2/3, 0
Let h(a) be the third derivative of -1/12*a**3 - 7/384*a**8 + 1/6*a**4 + 17/960*a**6 + 0*a + 0 - 73/480*a**5 + 11/240*a**7 + 13*a**2. What is o in h(o) = 0?
-1, 2/7, 1
Let z(a) be the second derivative of a**7/336 + 13*a**6/240 - a**5/80 - 13*a**4/48 + a**3/48 + 13*a**2/16 + 86*a. Find c such that z(c) = 0.
-13, -1, 1
Factor 16/3*x**2 - 2/15*x**3 + 76/15 - 154/15*x.
-2*(x - 38)*(x - 1)**2/15
Solve -76/3*r**2 - 32/9*r**4 + 152/9*r**3 + 2/9*r**5 - 10*r + 36 = 0 for r.
-1, 2, 3, 9
Suppose 2*i = -2*v + 110, v - 3*i = i + 45. Let r = v + -51. Factor 1/4*j + 0*j**r + 0 - 1/4*j**3.
-j*(j - 1)*(j + 1)/4
Let l(x) be the third derivative of 1/945*x**7 + 0*x + 0*x**3 - 1/180*x**6 + 1/90*x**5 + 5*x**2 - 1/108*x**4 + 0. Factor l(p).
2*p*(p - 1)**3/9
Let q(z) be the first derivative of -z**8/6720 - z**7/480 - z**6/80 - z**5/24 - z**4/12 + 2*z**3 - 5. Let n(w) be the third derivative of q(w). Factor n(a).
-(a + 1)*(a + 2)**3/4
Let d = 80 + -75. Suppose -3*m = -5*n + 5, 0 = -5*m + d*n - 6 + 1. Factor 1/2*k**3 + 0 + m*k**2 - 1/2*k.
k*(k - 1)*(k + 1)/2
Let d(q) be the third derivative of 7*q**2 + 1/735*q**7 + 0 + 0*q + 1/35*q**5 + 1/21*q**4 + 1/21*q**3 + 1/105*q**6. Suppose d(i) = 0. What is i?
-1
What is t in -2/5*t**4 - 2/5*t**3 + 2/5*t + 0 + 2/5*t**2 = 0?
-1, 0, 1
Determine w so that 1/6 + 7/6*w + 5/6*w**3 + 11/6*w**2 = 0.
-1, -1/5
Suppose 28*m**4 - 112*m - 76*m**2 - 12743*m**3 + 48 + 12875*m**3 + 0*m**5 - 20*m**5 = 0. What is m?
-2, -1, 2/5, 1, 3
Let g = 247 + -241. Let i(k) be the third derivative of 1/360*k**5 - k**2 + 0*k + 0 + 1/144*k**4 - 1/36*k**3 - 1/720*k**g. Determine z so that i(z) = 0.
-1, 1
Let o(l) be the third derivative of l**7/5040 - l**6/288 - 11*l**4/24 - 8*l**2. Let z(g) be the second derivative of o(g). Find j such that z(j) = 0.
0, 5
Let o = -62/15 + 127/30. Let h(b) be the third derivative of 0*b**6 + 0*b + 0 + 1/70*b**7 + 0*b**4 + 1/2*b**3 - o*b**5 - b**2. Find l, given that h(l) = 0.
-1, 1
Suppose -g - 5957 + 5960 = 0. Suppose 1/2*b**2 + 4 - g*b = 0. Calculate b.
2, 4
Let k(l) = 53*l**2 - 2*l - 1. Let q be k(-1). Let a be 3*((-9)/(-6))/(q/24). Factor 3/4*z**4 + 3/4*z + 9/4*z**a + 9/4*z**3 + 0.
3*z*(z + 1)**3/4
Factor 8*v**2 - 31/2*v**3 + 0 + 2*v + 11/2*v**4.
v*(v - 2)*(v - 1)*(11*v + 2)/2
Let p(z) = 8*z + 3. Let t be p(1). Factor -15*v**3 + 25*v**3 - t*v**2 - v**4 - 6*v - 16*v**3.
-v*(v + 1)*(v + 2)*(v + 3)
Let p = -539/111 + 192/