0*g**2 - g - 2. What is a in q(a) = 0?
-2, -1, 1/4, 5
Let r(y) be the first derivative of -20*y**3/3 + 9*y**2 + 2*y - 192. Factor r(i).
-2*(i - 1)*(10*i + 1)
Let x(p) be the third derivative of -p**5/48 - 125*p**4/4 - 18750*p**3 + 37*p**2 - 3. Factor x(j).
-5*(j + 300)**2/4
Let d be 6/48 - 93/(-24). Solve -3*a**2 - 6*a**3 + 3*a**4 + 7*a**d - 13*a**4 = 0 for a.
-1, 0
Let o = 2624 + -2621. Suppose 0*q = -3*q. Suppose q*c - 27/7*c**o - 6/7*c**2 + 0 - 3*c**4 = 0. Calculate c.
-1, -2/7, 0
Let z be 4/62 - (-86636)/33294. What is d in -4/3 - z*d**2 - 4*d = 0?
-1, -1/2
Let s(x) be the third derivative of x**9/12096 + x**8/6720 - x**7/3360 - x**6/1440 + x**3/6 + 6*x**2. Let d(w) be the first derivative of s(w). Factor d(u).
u**2*(u - 1)*(u + 1)**2/4
Suppose -15*z + 12*z + 16 = 4*k, -5*k + 1 = -z. Factor 6*p - 3*p**2 - 3/2*p**3 + 3/4*p**z + 0.
3*p*(p - 2)**2*(p + 2)/4
Let p = 92 + -181. Let o = p + 92. Let 0*b**o + 1/5*b**5 - 1/5*b - 2/5*b**4 + 2/5*b**2 + 0 = 0. What is b?
-1, 0, 1
Solve -528/7*v**4 - 144/7*v**5 + 176/7*v**2 - 388/7*v**3 - 16/7*v + 0 = 0.
-2, 0, 1/6
Let p(l) = 23*l**2 - 324*l + 30. Let y be p(14). Factor 2/7 - 4/7*b**y - 4/7*b**3 + 2/7*b**4 + 2/7*b + 2/7*b**5.
2*(b - 1)**2*(b + 1)**3/7
Suppose 0 = 2*c - f + 4, -3*c + 4*c - 20 = -5*f. Let p be (-6)/(-5)*(-10)/(-6). Determine z, given that c*z + 0 - 2/3*z**p = 0.
0
Suppose 0 + 24 = 2*y. Factor o**2 + 12 - 2*o - y.
o*(o - 2)
Let c(u) be the second derivative of 0 + 3/5*u**5 - 11*u + 0*u**2 + 6/5*u**6 + 0*u**3 + 9/14*u**7 + 0*u**4. What is w in c(w) = 0?
-2/3, 0
Suppose -a - 2 = -3*m + 5, 4*a - 5*m = -28. Let f be a/(-3) + 2/3. Determine v so that -v + v**f + 0 + 2*v**2 - 3 + 1 = 0.
-2, -1, 1
Factor 16518287 + 4*t**4 - 1769472*t + 55296*t**2 - 768*t**3 - 9375885 + 14091262.
4*(t - 48)**4
Let z(j) be the third derivative of -5*j**8/336 + 22*j**7/21 + 23*j**6/4 + 35*j**5/3 + 235*j**4/24 - 2*j**2 - 164. Factor z(d).
-5*d*(d - 47)*(d + 1)**3
Let r(o) be the second derivative of o**7/1260 + o**6/360 - o**5/30 + 5*o**4/6 - 11*o. Let w(d) be the third derivative of r(d). Solve w(m) = 0 for m.
-2, 1
Let u = 7 + 1. Let s be (-2)/u + (-36)/(-16). Determine t so that -28*t + 3*t + 3*t**2 + t**s + t + 36 = 0.
3
Let m(i) = -i**3 + 5*i**2 + 4*i - 4. Let b be m(6). Let a be (-168)/b - 1/(-2). Solve 10*n + 4*n - 2*n**2 - n**2 - a*n = 0.
0, 1
Suppose 0 = 2*r + 2*r - 8. Factor 31*c**r - 12*c**2 - c**3 + 349 - 588*c + 2395 + 23*c**2.
-(c - 14)**3
Let n(h) be the second derivative of -h**6/30 - h**5/60 + 5*h**2 + h. Let s(o) be the first derivative of n(o). Suppose s(b) = 0. Calculate b.
-1/4, 0
Let 722/5 + 2/5*b**2 - 76/5*b = 0. What is b?
19
Let c be 45/(-10)*(-18)/135. Factor -12/5*f + c*f**2 + 9/5.
3*(f - 3)*(f - 1)/5
Let u = 932 + -930. Factor 2/7*n**u + 0 + 4/7*n.
2*n*(n + 2)/7
Let d(g) = -35*g**4 + 90*g**3 - 175*g**2 + 100*g. Let w(a) = -11*a**4 + 30*a**3 - 58*a**2 + 33*a. Let i(u) = 3*d(u) - 10*w(u). Factor i(q).
5*q*(q - 3)*(q - 2)*(q - 1)
Let 20/3*y - 62/9 + 2/9*y**2 = 0. What is y?
-31, 1
Let i = -2825 + 2829. Suppose 0*c - i*c**2 - 4/3*c**3 + 16/3 = 0. Calculate c.
-2, 1
Let n be (6/(-65))/((-8)/(-76)). Let m = 14/13 + n. Factor m*r - 1/5*r**2 + 2/5.
-(r - 2)*(r + 1)/5
Let l(f) be the first derivative of f**3 - 102*f**2 - 405. Factor l(k).
3*k*(k - 68)
Let c(r) = 12*r**2 + r. Let g be c(-1). Factor -g*v - 3*v**3 - 16*v - 11 - 1 - 18*v**2.
-3*(v + 1)**2*(v + 4)
Suppose x = 20 - 22, 0 = 4*z + 3*x - 2. Let n(k) be the third derivative of 0*k**5 + 0 + 4*k**z + 1/660*k**6 + 0*k**3 - 1/1155*k**7 + 0*k**4 + 0*k. Factor n(p).
-2*p**3*(p - 1)/11
Let r = 3617/4080 - 15/17. Let o(q) be the third derivative of 1/40*q**5 + r*q**6 + 0 + 0*q + 1/12*q**3 + 5*q**2 + 1/16*q**4. Factor o(x).
(x + 1)**3/2
Let r = 317 - 313. Let o(h) be the third derivative of 1/30*h**r + 1/30*h**5 + 0 + 1/75*h**6 + 0*h**3 + 1/525*h**7 + 0*h + 7*h**2. Factor o(c).
2*c*(c + 1)**2*(c + 2)/5
Let i be 21/(-8) - ((5 - -4) + -12). Let 0*v + 0*v**3 + i + 3/8*v**4 - 3/4*v**2 = 0. What is v?
-1, 1
Let q(i) be the second derivative of i**5/100 - i**4/60 - i**3/3 - 4*i**2/5 - 192*i. Determine t so that q(t) = 0.
-2, -1, 4
Suppose -3*z - 2*a = -5*z - 14, 5*a = z - 5. Let g be 6/(-1)*16/z. Suppose 3*j**2 - 3/5 + 15*j**3 - 3*j - 24*j**4 + g*j**5 = 0. What is j?
-1/4, 1
Let o(l) = 97*l + 1. Let d be o(8). Suppose 0 = -6*g + 9*g - d. Factor -284*z**3 + 4*z**4 + g*z**3 - 9*z**4.
-5*z**3*(z + 5)
Let l(n) be the first derivative of 1/9*n**4 + 3 - 4/9*n**2 + 8/9*n + 2/45*n**5 - 2/9*n**3. Solve l(f) = 0 for f.
-2, 1
Let n be 41/(-328)*(306/(-30) - -7). Let z**2 + n - 6/5*z**3 + 13/5*z = 0. What is z?
-1, -1/6, 2
Determine m, given that -40/7*m + 2/7*m**2 - 6 = 0.
-1, 21
Suppose -21*m + 108 = 15*m. Let u(q) be the first derivative of m + 0*q + 5/4*q**4 + 0*q**2 - 10/3*q**3. Factor u(w).
5*w**2*(w - 2)
Let k(t) be the second derivative of t**4/3 - 14*t**3/3 - 16*t**2 - 120*t. Factor k(h).
4*(h - 8)*(h + 1)
Let s(o) be the second derivative of -o**5/16 + 5*o**3/24 + 88*o + 1. Factor s(z).
-5*z*(z - 1)*(z + 1)/4
Let o(c) = c**2 + 6. Let n be o(0). Let t be 20/n + (-4)/(-6). Factor t*v**2 + 10 + 3*v**2 + 8 - 5*v**2 + 12*v.
2*(v + 3)**2
Let q = -1/130 - -531/1430. Let t(b) be the first derivative of 13/11*b**2 - 2 + 40/33*b**3 + q*b. Factor t(f).
2*(4*f + 1)*(5*f + 2)/11
Let c be 9*(1/(-2))/((-3)/2). Let v(n) be the first derivative of -3/5*n**5 + 15/2*n**2 - 3/4*n**4 + 3*n**c + 6*n + 9. Factor v(t).
-3*(t - 2)*(t + 1)**3
Let m(i) = 5*i**3 - 3*i + 4. Let g(b) = 2*b**3 + b**2 - b + 1. Let a(u) = -2*g(u) + m(u). Factor a(l).
(l - 2)*(l - 1)*(l + 1)
Let y be (-415)/166 - 22/(-4). Let l(p) be the second derivative of 1/10*p**y - 15*p + 1/5*p**2 - 1/30*p**4 + 0. Suppose l(w) = 0. Calculate w.
-1/2, 2
Let u(q) be the first derivative of -q**8/5040 - q**7/2520 + q**6/1080 + q**5/360 + 4*q**3 + 2. Let r(b) be the third derivative of u(b). Factor r(g).
-g*(g - 1)*(g + 1)**2/3
Let f = -874 - -2623/3. Find q, given that 4/3*q - q**2 - f = 0.
1/3, 1
Suppose 0 = -24*k + 93 + 3. Let p(a) be the first derivative of 0*a + 0*a**3 - 1/2*a**k + 1/2*a**2 + 1/6*a**6 + 0*a**5 + 1. Solve p(r) = 0.
-1, 0, 1
Let u(w) = 8*w**4 + 8*w**3 - 8*w**2 + 3*w + 11. Let k(p) = -4*p**4 - 4*p**3 + 4*p**2 - 2*p - 6. Suppose r = 5*r - 44. Let x(n) = r*k(n) + 6*u(n). Factor x(v).
4*v*(v - 1)*(v + 1)**2
Let g(p) be the second derivative of -p**4/96 - 19*p**3/48 - 17*p**2/8 + 8*p + 3. Factor g(x).
-(x + 2)*(x + 17)/8
Find l, given that 14*l**2 + 4*l**3 + 5*l**2 - 116*l + 17*l**2 - 120 + 15*l**2 - 43*l**2 = 0.
-6, -1, 5
Let -460*p - 42*p**3 + 300 + 115*p**3 + 208*p**2 - 95*p**2 - 98*p**2 - 5*p**4 + 77*p**3 = 0. What is p?
-2, 1, 30
Let d(p) be the third derivative of p**9/34020 - p**8/7560 + p**6/810 - p**5/270 + 2*p**4/3 + 7*p**2. Let a(t) be the second derivative of d(t). Factor a(r).
4*(r - 1)**3*(r + 1)/9
Determine v, given that -2/5*v**5 + 0 - 6/5*v**4 + 0*v**3 + 8/5*v**2 + 0*v = 0.
-2, 0, 1
Let j be 9/126 + 33/28. Solve -2*g**3 - 4*g - 1/4*g**4 - j - 9/2*g**2 = 0.
-5, -1
Let o(m) be the third derivative of m**8/112 + 19*m**7/70 - m**6/20 - 19*m**5/10 + m**4/8 + 19*m**3/2 + 7*m**2 - 9. Determine f so that o(f) = 0.
-19, -1, 1
Let s be 1/(1/(2 + -5)). Let c be ((-2)/s - 8/12)/1. Determine x, given that c + 2/11*x**2 + 2/11*x = 0.
-1, 0
Let m(i) = -i**2 + 27*i - 10. Let j be (8/20)/(1/(-20)). Let n = -2 - -5. Let g(u) = 9*u - 3. Let f(a) = j*g(a) + n*m(a). Factor f(l).
-3*(l - 2)*(l - 1)
Let p(d) be the second derivative of -1/2*d**4 + 9/20*d**5 + 0 + 3*d**2 - 3/2*d**3 - 2*d. Factor p(z).
3*(z - 1)*(z + 1)*(3*z - 2)
Let o(y) be the second derivative of -y**7/42 + y**6/30 + 33*y - 2. Determine r so that o(r) = 0.
0, 1
Let p(m) = -m**2 + 4*m + 7. Let d be p(5). Let r be 13/15 + -15 + (-1184)/(-80). Find v, given that 1/3 - r*v + 1/3*v**d = 0.
1
Let q(a) be the third derivative of a**5/15 - 239*a**4/3 + 114242*a**3/3 + 242*a**2. Find w such that q(w) = 0.
239
Let k be 261/(-116)*4/(-3). Determine z, given that 10/7*z - 4/7 - 8/7*z**2 + 2/7*z**k = 0.
1, 2
Let u(k) be the second derivative of k**6/15 - 16*k**5/15 + 95*k**4/18 - 50*k**3/9 + 918*k. Factor u(f).
2*f*(f - 5)**2*(3*f - 2)/3
Suppose -5*l + 5*f = -0*l - 20, 16 = 2*l - 4*f. Factor -3*x**2 + 6 + 3 + l*x**2 - 9*x + 3*x.
-3*(x - 1)*(x + 3)
Let r 