or m(y).
-3*y**2*(7*y + 2)
Suppose 91*q - 90*q - 27 = 0. Solve 21*b**3 - 28*b + 1 - 14 + q*b**2 - 8*b + 1 = 0.
-2, -2/7, 1
Let u be 39 + 7389/(-189) + (-304)/(-105). Factor -u*w + 1/5*w**2 + 24/5.
(w - 12)*(w - 2)/5
Let u(a) = -28*a**2 - 122*a - 502. Let v(r) = 33*r**2 + 123*r + 503. Let p(s) = 7*u(s) + 6*v(s). What is b in p(b) = 0?
-4, 62
Let n(h) be the third derivative of 0*h + 45*h**2 + 0*h**4 + 0*h**3 + 0 - 1/160*h**5 - 1/320*h**6. Factor n(b).
-3*b**2*(b + 1)/8
Let l = 1419417 + -9935883/7. What is s in 40/7*s + 38/7 - 40/7*s**3 - l*s**2 - 2/7*s**4 = 0?
-19, -1, 1
Suppose 12*q = 402 + 174. Solve -16*m - 38 + 20*m**5 - 32*m**3 + 48*m**2 - q*m**4 + 38 + 28*m**3 = 0 for m.
-1, 0, 2/5, 1, 2
Let p(n) be the third derivative of -1/12*n**4 - 1/60*n**5 + 0*n + 0 - 1/6*n**3 - 28*n**2. Factor p(a).
-(a + 1)**2
Let r(d) be the second derivative of -5*d**4/48 - 55*d**3/24 + 50*d**2 - 1097*d. Factor r(w).
-5*(w - 5)*(w + 16)/4
Let n(i) be the first derivative of i**4/18 + 2*i**3 + 27*i**2 - 3*i - 38. Let y(q) be the first derivative of n(q). Factor y(l).
2*(l + 9)**2/3
Suppose -1555*q + 3848 = -2423 + 1606. Let n be (16/54)/((-4)/(-24)). Factor -2/3*z**5 - n*z**4 - 4/3*z**q + 0 + 2/9*z + 0*z**2.
-2*z*(z + 1)**3*(3*z - 1)/9
Suppose -12*z = 20*z + 23*z - 220. Let u(x) be the first derivative of 35 - 3/4*x**z - 1/3*x**3 + 0*x + 1/5*x**5 + 3/2*x**2. Factor u(i).
i*(i - 3)*(i - 1)*(i + 1)
Let v(l) be the second derivative of 1/10*l**3 + 0*l**2 + 62*l - 3/100*l**5 + 2 + 0*l**4. Solve v(x) = 0.
-1, 0, 1
Let i be ((-7)/((-154)/99))/(2/264). Solve 0*q**3 - i*q**2 + 599*q**2 - 8 + q**3 + 2*q = 0.
-4, -2, 1
Suppose -13621*r + 195424 + 504992 = -13469*r. Factor -49152 + r*i + 3/2*i**3 - 144*i**2.
3*(i - 32)**3/2
Let s(b) = -b + 16. Let j be s(8). Let c(r) = -r**2 + 9*r - 5. Let k be c(j). Let y(o) = -o**2 + o. Let v(a) = 3*a**2. Let h(f) = k*v(f) + 6*y(f). Factor h(q).
3*q*(q + 2)
Factor 0 - 143/5*o - 1/5*o**3 + 24/5*o**2.
-o*(o - 13)*(o - 11)/5
Suppose a + 5 = 0, 5*a + 22 - 66 = 3*g. Let i be g*7/35 - -7. Factor 2/5*t**4 + 8/5*t + i*t**2 + 2/5 + 8/5*t**3.
2*(t + 1)**4/5
Let a(i) = -11*i**3 + 44*i**2 - 246*i + 498. Let p(q) = -19*q**3 + 86*q**2 - 490*q + 998. Let m(w) = 10*a(w) - 6*p(w). Suppose m(z) = 0. What is z?
6, 7
Let c(r) be the second derivative of -r**6/6 - 5*r**5/4 + 10*r**4/3 + 10*r**3 + 2*r + 4236. Factor c(l).
-5*l*(l - 2)*(l + 1)*(l + 6)
Let z(p) be the second derivative of -5/2*p**2 + 2/3*p**3 + 1/12*p**4 - 5 - 3*p. Let z(s) = 0. What is s?
-5, 1
Let a(q) be the third derivative of q**6/40 - 251*q**5/20 + 15367*q**4/8 + 48387*q**3/2 + 3*q**2 + 4*q + 2. Solve a(s) = 0 for s.
-3, 127
Let t(l) = -7*l**3 + 32*l**2 + 40*l - 269. Let z(v) = -11*v**3 + 48*v**2 + 60*v - 406. Let b(j) = 14*t(j) - 9*z(j). Factor b(g).
(g - 2)*(g + 4)*(g + 14)
Solve -314*a**3 - 792*a + 276*a**3 + 68*a**2 + 776*a - 14*a**4 = 0.
-4, 0, 2/7, 1
Let l be (-2)/8*(3/21 - (-3740)/(-308)). Suppose 5/4*k**5 + 11/2*k**4 + k + 5*k**2 + 0 + 33/4*k**l = 0. Calculate k.
-2, -1, -2/5, 0
Let 54 - 11*l + 1/3*l**2 = 0. What is l?
6, 27
Determine b, given that 6*b**3 + 9*b**2 + 909*b**2 + 72*b**3 + 603*b**2 - 3*b**4 = 0.
-13, 0, 39
Suppose 5*f + 6*k = 78, 37*k - 39*k + 26 = -5*f. Suppose -6 = 2*y + y, -4*y = n + 4. Factor 16/13*t**n + f*t - 2/13*t**5 + 0*t**2 - 32/13*t**3 + 0.
-2*t**3*(t - 4)**2/13
Let z(d) be the second derivative of 0 - 7/12*d**4 - 55*d + 7/2*d**2 + 1/6*d**3 - 1/20*d**5. Find s, given that z(s) = 0.
-7, -1, 1
Suppose w - 5*p + 408 = -2*p, 4*w + p = -1619. Let a be (-5130)/w - 1*12. What is z in 0 - a*z**5 - 2/3*z**3 - 2/3*z**2 + 14/9*z**4 + 4/9*z = 0?
-2/3, 0, 1
Let j(p) be the second derivative of 1/66*p**4 + 0 + 23*p + 8/11*p**2 + 3/11*p**3. Find t, given that j(t) = 0.
-8, -1
Let k(c) = -c**4 - c**3 + 2*c**2 + 2. Let v(b) = -2*b**4 - 29*b**3 + 166*b**2 - 288*b + 6. Let g(y) = 6*k(y) - 2*v(y). Solve g(h) = 0 for h.
0, 4, 18
Let n(f) be the second derivative of f**4/12 + 5*f**3/3 + 7*f**2 - 14*f + 4. Let h(d) = 1. Let w(q) = -6*h(q) - 3*n(q). Factor w(z).
-3*(z + 2)*(z + 8)
Factor 3/5*z**2 + 546987/5 + 2562/5*z.
3*(z + 427)**2/5
Let b(i) be the first derivative of 0*i + 0*i**2 + 1/18*i**6 + 31 - 2/9*i**3 - 1/12*i**4 + 2/15*i**5. Factor b(f).
f**2*(f - 1)*(f + 1)*(f + 2)/3
Let p be 5 + 0 - (-224)/(-6). Let k = p + 715/21. What is y in -8/7*y - 4*y**2 - k*y**3 + 0 = 0?
-2, -1/3, 0
Let d = -1226103/4 - -306526. Factor d*c**2 + 47/8*c + 23/8.
(c + 23)*(2*c + 1)/8
Let v(y) be the first derivative of -y**6/39 + 58*y**5/65 + 173*y**4/26 - 10754*y**3/39 - 39376*y**2/13 - 67712*y/13 + 340. Determine c so that v(c) = 0.
-8, -1, 23
Suppose 5*w - 294 = -63*w - 22. Let z(i) be the first derivative of 1/3*i**3 + 0*i**2 + 18 - 1/4*i**w + 0*i. Factor z(m).
-m**2*(m - 1)
Suppose -10 - 2/5*x**2 + 4*x = 0. Calculate x.
5
Suppose 20*r + 5023 - 5063 = 0. Factor -2/5*b**3 - 2*b**r - 16/5*b - 8/5.
-2*(b + 1)*(b + 2)**2/5
Let z(m) = m**2 + 2*m - 3. Let b(c) = -3*c + 7. Let g(x) = -5*x + 12. Let j(u) = 7*b(u) - 4*g(u). Let h(l) = -2*j(l) + 2*z(l). Solve h(w) = 0.
-4, 1
Determine b so that 2576*b**2 - 4*b**5 + 91592 - 594*b**4 + 179*b**4 + 139100*b + 69*b**4 - 510*b**4 - 45784*b**3 = 0.
-107, -1, 2
Factor 1/6*a**2 + 174050/3 + 590/3*a.
(a + 590)**2/6
Solve 540/7*y**2 + 548/7 + 4/7*y**3 - 156*y = 0.
-137, 1
Let z(x) be the second derivative of -3/14*x**7 + 0*x**5 + 0*x**2 + 0*x**3 + 0*x**4 + 1/10*x**6 + 165*x + 0. Find p, given that z(p) = 0.
0, 1/3
Suppose 0*k + 192 = -6*k. Let i = 34 + k. Factor 0*o - o**4 + 363*o**2 - 362*o**i + o - o**3.
-o*(o - 1)*(o + 1)**2
Let c = -205/56 - -3467/56. Let q = -599/12 + c. Suppose 4/3 + 3*f**3 + 4*f - q*f**2 = 0. Calculate f.
-2/9, 1, 2
Let j(w) be the third derivative of -110/3*w**3 - 7/2*w**5 + 145/8*w**4 + 0*w + 0 + 88*w**2 - 1/24*w**6. Suppose j(k) = 0. What is k?
-44, 1
Let a = -4831/9 + 4834/9. Let r(y) be the second derivative of -a*y**3 - 2/7*y**2 + 0 - 12*y + 3/14*y**4. Let r(w) = 0. Calculate w.
-2/9, 1
Suppose -5*x + 45 = p, -4*p + 18 = 251*x - 249*x. Suppose p + 22/7*s + 2/7*s**2 = 0. What is s?
-11, 0
Let u(i) be the first derivative of -1/2*i**4 + 4/15*i**5 + 126 + 1/9*i**6 - 16/9*i**3 - 4/3*i**2 + 0*i. Determine v, given that u(v) = 0.
-2, -1, 0, 2
Let z = 30074 - 30072. Let k(n) be the third derivative of 0*n - 11/200*n**6 - 15*n**z + 0*n**5 + 1/175*n**7 + 0*n**3 + 0*n**4 + 0. Solve k(a) = 0 for a.
0, 11/2
Let g(z) be the first derivative of 1/3*z**4 - 4*z**2 + 2/3*z**3 + 8 - 11*z. Let b(r) be the first derivative of g(r). Factor b(o).
4*(o - 1)*(o + 2)
Let a(s) be the second derivative of 305/6*s**3 - 29/20*s**5 + 75/2*s**2 - 2/15*s**6 - 71*s + 0 + 13/12*s**4. Factor a(t).
-(t - 3)*(t + 5)**2*(4*t + 1)
Let p(y) be the second derivative of y**7/14 - 4*y**6/5 + 69*y**5/20 - 7*y**4 + 6*y**3 - 18*y - 6. What is i in p(i) = 0?
0, 1, 2, 3
Let a(l) = -3*l + 39. Let o be a(13). Let w = o - -5. Find t, given that -12*t**3 + 2*t**4 - 5*t**5 - 4*t**2 + 3*t**5 - 14*t**4 - 2*t**w = 0.
-1, 0
Find t such that 316*t**2 - 3390*t - 74*t**2 - 84*t**2 + 3385 - 79*t**2 - 74*t**2 = 0.
1, 677
Suppose -166*a = -64*a - 204. Let f(p) be the second derivative of 0 + 11*p + 4/15*p**3 - 7/50*p**5 + 0*p**a - 2/5*p**4. What is s in f(s) = 0?
-2, 0, 2/7
Let a = -86689/2 - -43345. Solve -a*w**2 - 1/2 + w = 0.
1
Suppose -126 = -10*y + 4*h, y - 7*h = -9*h + 3. Let v be -2*(385/(-14))/y. Solve -31/7*w + 12*w**4 + 9/7*w**v - 20/7*w**2 + 94/7*w**3 + 8/7 = 0.
-8, -1, 1/3
Suppose 0 = 4*b + 4*w - 12, -4*b + 2*w + 6 = -0*w. Factor -9*j**3 - 9*j - 12*j**b - 12*j**2 + 19 - 13.
-3*(j + 1)*(j + 2)*(3*j - 1)
Suppose 15 - 6 = 3*x. Factor 105*t**x + 10 + 220*t**2 + 196*t + 0 - 71*t.
5*(t + 1)**2*(21*t + 2)
Let s(i) = -2*i**2 + 2*i. Let c be s(-1). Let w be ((-572)/(-65) + c)/((-4)/(-2)). Solve -w*b**2 + 4/5*b + 0 = 0.
0, 1/3
Let p(w) be the first derivative of w**6/6 + 16*w**5/5 - 481*w**4/4 - 496*w**3/3 - 5170. Factor p(r).
r**2*(r - 16)*(r + 1)*(r + 31)
Suppose -1516*l + 744 = -1330*l. Determine q so that 0 + 0*q - 3*q**2 - 57/2*q**3 - 75*q**5 + 213/2*q**l = 0.
-2/25, 0, 1/2, 1
Let c = 586/231 + -2006/1155. Solve c + 4/5*u**3 - 4/5*u**2 - 4/5*u = 0.
-1, 1
Factor 168*u - 504*u - 546 + 7*u**2 - 207*u - 4*u**2.
3*(u - 182)*(u + 1)
Let t be ((-1)/24)/((-71)/(385 + 41)). Factor t*g**2 + 7*g