11 = -51*h - 9. Factor 0*s + 0 - h*s**4 - 4/7*s**2 + 18/7*s**3.
-2*s**2*(s - 1)*(7*s - 2)/7
Let f be (-322 - -1)/(210/20). Let h = f + 2382/77. What is q in 2/11*q**3 - h*q**2 + 4/11 - 2/11*q = 0?
-1, 1, 2
Suppose -2*s**2 + 8*s**2 + s**3 + s**2 - 6*s**2 = 0. What is s?
-1, 0
Let -8/5 + 14/5*c + 4/5*c**2 = 0. Calculate c.
-4, 1/2
Let d(x) be the first derivative of 4/3*x**2 + 4/3*x - 5/12*x**4 - 7/9*x**3 + 10. Factor d(o).
-(o - 1)*(o + 2)*(5*o + 2)/3
Let q be (-1)/(-2) - 42/(-12). Suppose q*g + 24 = 4*r, 6*g - 2*g + 28 = 5*r. Factor 2*l**2 - 4*l**2 + r*l**2 + 2*l - l**2.
l*(l + 2)
Let g = 15 - 12. Suppose -4*f = -g*q + 28, f = 2*q - 3*f - 24. Factor -m**4 - 5*m**2 + 0*m**q + 2*m**2 - 2*m**4 + 6*m**3.
-3*m**2*(m - 1)**2
What is d in 0*d + 2/11*d**3 - 8/11 + 6/11*d**2 = 0?
-2, 1
Let -2/3*l**2 + 4/3*l - 1/3*l**3 + 8/3 = 0. What is l?
-2, 2
Factor 18*i + 2/11*i**3 + 144/11 + 56/11*i**2.
2*(i + 1)*(i + 3)*(i + 24)/11
Factor -1/4*f - 1/2 + 1/4*f**3 + 1/2*f**2.
(f - 1)*(f + 1)*(f + 2)/4
Let l(b) = 2*b**2 + 19*b - 8. Let f be l(-10). Suppose -3*u - 2 = -4*i + 2*u, -3*u = -f*i. Factor 0*a**2 + 0*a + 0*a**i + 0 + 2/11*a**5 + 2/11*a**4.
2*a**4*(a + 1)/11
Let h(a) = -a**2 - 6*a. Let k be ((-20)/(-5) - 5) + -5. Let r be h(k). Solve r*u**2 + 0*u - 1/3*u**3 + 0 + 1/3*u**4 = 0.
0, 1
Suppose w + 45*w**2 + 221*w - 6*w + 228 - 3*w**3 + 0*w**3 = 0. What is w?
-2, 19
Let h(s) be the second derivative of 1/4*s**4 + 0 - 9/20*s**5 + 3/2*s**3 - 1/5*s**6 + 3/2*s**2 - 14*s. Suppose h(f) = 0. What is f?
-1, -1/2, 1
Let j(s) be the second derivative of s**8/6720 + s**7/1260 - s**6/240 + s**4/4 - 3*s. Let p(x) be the third derivative of j(x). What is z in p(z) = 0?
-3, 0, 1
Suppose 2/7*n**4 + 0 + 10/7*n + 2*n**3 + 22/7*n**2 = 0. What is n?
-5, -1, 0
Let g be 19/((-684)/(-48))*18/4. Let x(p) be the third derivative of -7/360*p**5 + 0 - 1/16*p**4 - g*p**2 - 1/18*p**3 + 0*p. Let x(b) = 0. Calculate b.
-1, -2/7
Factor 72/13*h**3 - 1728/13*h + 0 + 28/13*h**4 - 432/13*h**2 + 2/13*h**5.
2*h*(h - 4)*(h + 6)**3/13
Suppose -6*l + 3*i + 12 = -l, -3*i = 4*l - 15. What is f in -2/11*f**l - 4/11*f**2 + 0*f + 0 = 0?
-2, 0
Let d(w) be the third derivative of 0*w**3 + 1/15*w**5 - 1/6*w**4 - 1/336*w**8 + 0 - 1/105*w**7 + 1/40*w**6 - 39*w**2 + 0*w. Solve d(r) = 0.
-2, 0, 1
Suppose 269*p - 14 = 262*p. Let -1/4*d**p - 1/4*d + 0 = 0. What is d?
-1, 0
Let b(x) be the first derivative of -3/2*x**4 + 5/3*x**3 + 2*x**2 - 2 - 1/2*x**5 + 5*x + 7/15*x**6. Let h(o) be the first derivative of b(o). Factor h(g).
2*(g - 1)**2*(g + 1)*(7*g + 2)
Let o(u) be the second derivative of -3/4*u**2 + 1/8*u**4 + 0 + 3/40*u**5 - 1/4*u**3 - 14*u. Factor o(j).
3*(j - 1)*(j + 1)**2/2
Factor 4*f**5 - f**3 + 15*f + 4*f**2 - 11*f**3 - 2*f**4 + 12*f - 19*f - 2*f**4.
4*f*(f - 2)*(f - 1)*(f + 1)**2
Let i(y) be the first derivative of 1/9*y**3 + 1/18*y**2 + 0*y - 2 + 1/12*y**4 + 1/45*y**5. Factor i(h).
h*(h + 1)**3/9
Let a = -336 + 1345/4. Let n(u) be the second derivative of -a*u**4 - 4*u + 1/2*u**3 + 3/2*u**2 - 3/20*u**5 + 0. Factor n(v).
-3*(v - 1)*(v + 1)**2
Suppose -5*h = 16 + 4. Let f be (h/6)/((-1)/3). Factor 0*s - f*s**2 + 5*s**2 - 2*s.
s*(3*s - 2)
Let u be 420/1463 + (-8)/76. Factor u*f**4 - 8/11*f**3 - 8/11*f + 2/11 + 12/11*f**2.
2*(f - 1)**4/11
Let v(s) be the first derivative of 4*s + 4 - 2/3*s**3 + 1/3*s**4 - 2*s**2 + 1/5*s**5. Let i(m) be the first derivative of v(m). Solve i(z) = 0.
-1, 1
Solve -372*k - 536*k**2 - 176*k**3 - 76*k + 72 + 56 - 4*k**4 - 11*k**4 - 3*k**4 = 0 for k.
-4, -2, 2/9
Let y(q) be the first derivative of -q**3/2 + 21*q**2/4 - 96. Solve y(w) = 0 for w.
0, 7
Let y(f) be the second derivative of 0*f**2 + 1/10*f**6 + 0*f**3 + 1/42*f**7 + 7*f + 3/20*f**5 + 0 + 1/12*f**4. Find w such that y(w) = 0.
-1, 0
Let v(o) be the first derivative of 11 + 0*o**2 - 1/4*o**5 - 5/6*o**3 - 5/6*o**4 + 11*o. Let d(c) be the first derivative of v(c). What is x in d(x) = 0?
-1, 0
Let n be (-3012)/42 - (-6)/(-21). Let t be (n/48)/(6/(-16)). Let 0*z - 3/4*z**t + 0*z**2 + 0 + 3/4*z**3 = 0. Calculate z.
0, 1
Let j = 11/124 + 5/31. Let w(p) be the second derivative of 0 + 3*p - 1/16*p**4 - 5/24*p**3 - j*p**2. What is r in w(r) = 0?
-1, -2/3
Let l be -6 - (8/(-2) - 0). Let u(v) = v**2 + 7*v + 6. Let h(q) = -q**2 - q. Let m(j) = l*h(j) + u(j). Find c, given that m(c) = 0.
-2, -1
Let m(h) be the first derivative of -h**6/40 + 3*h**5/20 - 2*h**3 + 11*h**2 + 41. Let i(v) be the second derivative of m(v). Factor i(u).
-3*(u - 2)**2*(u + 1)
Let j(u) = -70*u**2 - 1905*u - 4660. Let s(h) = -5*h**2 - 136*h - 333. Let g(m) = -6*j(m) + 85*s(m). Factor g(x).
-5*(x + 3)*(x + 23)
Let r(k) be the first derivative of k**5/3 - 3*k**4/4 - k**3/3 + 27*k**2/2 + 2*k + 27. Let v(d) be the second derivative of r(d). Find p such that v(p) = 0.
-1/10, 1
Let k(j) be the third derivative of j**7/1260 - j**6/180 - j**4/24 + 16*j**2. Let o(u) be the second derivative of k(u). Find l, given that o(l) = 0.
0, 2
Let y(d) be the first derivative of -3*d**5 + 219*d**4/4 - 345*d**3 + 1425*d**2/2 + 750*d + 96. Factor y(h).
-3*(h - 5)**3*(5*h + 2)
Let m = 208 - 206. Let n(o) be the third derivative of -4*o**m - 1/270*o**5 + 0 + 0*o - 1/54*o**4 + 0*o**3. Suppose n(u) = 0. Calculate u.
-2, 0
Suppose -v - 17 = -14. Let o be (-8)/(-28) + v*(-53)/105. Find u such that -6/5*u**3 + 0*u - o*u**2 + 3/5*u**4 + 0 = 0.
-1, 0, 3
Let s(h) = -h**2 + 16*h - 5. Let t be s(15). Suppose 5*c + 5*z = 30, 6*z - 2*z - t = 3*c. Factor 1/6*j**c + 1/3*j + 0.
j*(j + 2)/6
Determine l so that -48/7 - 26/7*l**3 + 10*l + 4/7*l**2 = 0.
-24/13, 1
Suppose 0 = 3*g - 11*g + 40. Let u(o) be the third derivative of -3*o**2 + 0 + 1/30*o**g + 0*o - 1/18*o**4 + 0*o**3. Solve u(b) = 0 for b.
0, 2/3
Let h be (-32)/(-120)*10/12. Let f be (-1)/5*(-110)/99. Solve 0 + h*r**3 + 0*r**2 - f*r**4 + 0*r = 0.
0, 1
Find t, given that 2 + t**2 - 1/8*t**3 - 5/2*t = 0.
2, 4
Let z = -31717/3 + 10573. Solve 2/15*j**5 - 10/3*j**2 + z*j**4 - 32/15 - 2/3*j**3 + 16/3*j = 0.
-4, 1
Let x be ((-6)/(-20))/(6/8). Let p = -2176 - -2176. Factor 4/5*f - 2/5*f**2 - x*f**3 + p.
-2*f*(f - 1)*(f + 2)/5
Let b be 14 - -3 - (-7 - -4). Factor 30*v - 5*v**3 + 53*v**2 - 23*v**2 - 15*v**2 - b*v**2.
-5*v*(v - 2)*(v + 3)
Suppose 2*p**3 - 346*p - 6*p**3 - 18*p - 837 - 1191 + 92*p**2 = 0. Calculate p.
-3, 13
Let b be ((-6)/(-24))/((-2)/(-8)). Let z be 25/70*(b - -1*1). Determine f, given that -z*f**3 - 2/7 + 9/7*f + 12/7*f**4 - 4/7*f**5 - 10/7*f**2 = 0.
-1, 1/2, 1, 2
Let w = -12895 + 12910. Factor 5/2*d**2 + w*d - 35/2.
5*(d - 1)*(d + 7)/2
Find w, given that 53/7*w**4 + 17/7*w**2 + 0 + 48/7*w**3 + 2/7*w + 20/7*w**5 = 0.
-1, -2/5, -1/4, 0
Let i(t) be the third derivative of 4*t**2 + 0*t - 1/20*t**6 + 3/70*t**7 - 1/112*t**8 + 0*t**5 + 0*t**3 + 0*t**4 + 0. Factor i(g).
-3*g**3*(g - 2)*(g - 1)
Suppose -3*a = 12 - 24. Suppose -s = 3*s + a*d - 24, 0 = -4*s + d + 4. Let 1/4 - 1/2*n + 1/4*n**s = 0. Calculate n.
1
Let o = -1367/5 + 9584/35. Factor 9/7*k + 0 - o*k**2.
-3*k*(k - 3)/7
Let u = 4 + -2. Suppose 5*l - 21 = -u*q + 20, -l - 8 = -5*q. Find h such that -23*h**2 - l*h**2 - 21*h**3 - 1 - 2 - 15*h**4 - 9*h**3 - 15*h - 3*h**5 = 0.
-1
Let b(r) be the second derivative of r**7/945 + r**6/270 + r**5/270 - 5*r**2 + 3*r. Let j(o) be the first derivative of b(o). Factor j(w).
2*w**2*(w + 1)**2/9
Suppose -9*o - 32*o = 0. Let i(d) be the third derivative of -5*d**2 + 0 - 1/20*d**6 + o*d**3 - 1/105*d**7 + 0*d - 1/12*d**4 - 1/10*d**5. Factor i(u).
-2*u*(u + 1)**3
Let o(z) be the third derivative of z**8/131040 - z**7/8190 + z**6/1170 + z**5/12 - 8*z**2. Let p(j) be the third derivative of o(j). Let p(t) = 0. Calculate t.
2
Factor 7744/3*s**2 - 352/9*s**3 + 7496192/9 + 2/9*s**4 - 681472/9*s.
2*(s - 44)**4/9
Let w(a) be the second derivative of a**7/1260 + a**6/135 + 5*a**3/2 + a**2/2 - 37*a. Let z(l) be the second derivative of w(l). Suppose z(y) = 0. Calculate y.
-4, 0
Let v = 40 + -43. Let z be (-43)/v - 42/14. Determine d, given that z*d**2 + 8/3 + 32/3*d + 10/3*d**3 = 0.
-2, -1, -2/5
Solve -265 - 170 + 0*z**2 - 3*z**2 - 129*z + 75 = 0.
-40, -3
Let k(y) be the third derivative of y**7/140 - y**6/20 - 7*y**5/40 + 5*y**4/8 - 18*y**2 + 3*y. Factor k(v).
3*v*(v - 5)*(v - 1)*(v + 2)/2
Let y be 28*((-3)/2)/3. Let c = 3 - y. Factor -3*p**2 + 15*p**3 - 29*p**