g**l - 84/5*g.
4*(g - 1)**2*(g + 11)/5
Let n(a) be the third derivative of -a**6/60 + 12*a**5/5 + a**4/3 - 96*a**3 - 109*a**2 - a + 4. Factor n(d).
-2*(d - 72)*(d - 2)*(d + 2)
Let f(l) = 29*l**2 + 577*l + 526. Let q(k) = 8*k**2 + 145*k + 131. Let a(x) = 6*f(x) - 22*q(x). Let a(r) = 0. What is r?
-1, 137
Let b(z) be the first derivative of -z**6/6 - 21*z**5/5 - 133*z**4/4 - 109*z**3 - 167*z**2 - 120*z - 2480. What is w in b(w) = 0?
-12, -5, -2, -1
Factor 6/7 + 10/7*a**2 + 2*a + 2/7*a**3.
2*(a + 1)**2*(a + 3)/7
Factor 1151*h - 283*h - 135 - 1020 + 290*h - 1495*h**2 + 1492*h**2.
-3*(h - 385)*(h - 1)
Suppose 33 - 15 = -6*s. Let o(n) = -4*n**2 - 21*n + 58. Let b(q) = -7*q**2 - 44*q + 116. Let c(k) = s*b(k) + 5*o(k). Solve c(a) = 0.
-29, 2
Let g(w) be the first derivative of -w**4/4 + 431*w**3/3 - 46655*w**2/2 + 46225*w + 327. Factor g(s).
-(s - 215)**2*(s - 1)
Let w(z) be the third derivative of -z**5/6 - 5*z**4/24 + 5*z**3/2 + 1121*z**2. Solve w(a) = 0.
-3/2, 1
Let d(c) be the third derivative of -c**6/120 - 233*c**5/60 + 469*c**4/24 - 235*c**3/6 - 6*c**2 - 218*c. Factor d(n).
-(n - 1)**2*(n + 235)
Let k be 6/((2/9)/1). Suppose -10*m - 7 + k = 0. Let -6*c**2 + 15 - 2*c**3 + m*c**4 + 10*c - 1 - 18 = 0. What is c?
-2, 1
Factor -1232*p + 670*p + 614*p - 24 - 16*p**2 - 12*p**3.
-4*(p - 1)*(p + 3)*(3*p - 2)
Determine h so that -176*h**2 + 0 + 275*h**5 + 128*h + 0 - 559*h**5 + 48*h**3 + 283*h**5 + h**4 = 0.
-8, 0, 1, 4
Let f = -1326214/5 - -265244. Factor -1/5*t**2 - f*t + 0.
-t*(t + 6)/5
Let j = -3/69418 - -138875/902434. Solve 24/13*k + 18/13*k**3 - 40/13*k**2 - j*k**4 + 0 = 0 for k.
0, 1, 2, 6
Let y = -23/5832 - -94/729. Suppose -1/8*g**4 - 1/4 - 1/8*g**3 + y*g + 3/8*g**2 = 0. What is g?
-2, -1, 1
Solve -72*t**2 + 70054*t**3 - 2*t**5 - 32*t**4 + 70039*t**3 - 140195*t**3 = 0.
-12, -3, -1, 0
Let m(t) be the third derivative of -t**7/18 - 13*t**6/8 + 29*t**5/6 + 265*t**4/18 - 20*t**3 + 37*t**2 - 2*t - 2. Determine i so that m(i) = 0.
-18, -1, 2/7, 2
Let l(c) = 4*c**5 - 104*c**4 - 324*c**3 + 6*c + 6. Let k(x) = 3*x**5 - 101*x**4 - 322*x**3 + 5*x + 5. Let z(t) = -6*k(t) + 5*l(t). Solve z(o) = 0.
-39, -4, 0
Let g(j) = j**3 - 3*j**2 - 5*j - 15. Let r(z) = z**3 - z - 7. Let x(y) = g(y) - 2*r(y). Factor x(b).
-(b + 1)**3
Let u(d) be the first derivative of d**5 - 5*d**4/4 - 20*d**3/3 + 10*d**2 + 1810. Factor u(o).
5*o*(o - 2)*(o - 1)*(o + 2)
Let t be (-18105)/(-1020) + 17*-1. Solve -3*b**4 + 15/4*b**3 + t - 15/4*b + 9/4*b**2 = 0.
-1, 1/4, 1
Let f(o) be the second derivative of o**5/15 - o**4/3 - 16*o**3 + 119*o**2/2 + 58*o. Let b(j) be the first derivative of f(j). Factor b(v).
4*(v - 6)*(v + 4)
Suppose -88 = s - 5*s - 18*s. Let m(r) be the first derivative of 7 - 7/9*r**3 + 16/3*r + 4/3*r**2 + 1/12*r**s. Factor m(b).
(b - 4)**2*(b + 1)/3
Let j(m) = 35*m + 224. Let b be j(-6). Let q(o) be the third derivative of 0 + b*o**2 - 25/48*o**4 - 125/24*o**3 + 0*o - 1/48*o**5. Factor q(c).
-5*(c + 5)**2/4
Let b(z) be the third derivative of -z**5/160 + 3*z**4/32 + z**2 + 19*z. Suppose b(l) = 0. Calculate l.
0, 6
What is b in 2/3*b**2 + 74/9 + 80/9*b = 0?
-37/3, -1
Let s(b) be the third derivative of 1/735*b**7 + 0*b + 0 - 44*b**2 + 1/7*b**4 + 4/21*b**3 + 1/70*b**6 + 13/210*b**5. Find h such that s(h) = 0.
-2, -1
Let g(p) = -p**2 + 49*p. Suppose -4*c - w = 3, -4 = -2*c + 4*c - 2*w. Let x(k) = -k**2 + k. Let i(s) = c*g(s) + 5*x(s). Factor i(u).
-4*u*(u + 11)
Let g(o) be the third derivative of -26/105*o**5 + 59/420*o**6 + o + 1/3*o**3 - 1/49*o**7 + 3/56*o**4 - 5*o**2 + 0 - 1/336*o**8. Let g(y) = 0. What is y?
-7, -2/7, 1
Factor -1/4*g**2 - 129/4*g + 0.
-g*(g + 129)/4
What is u in 32/5*u**2 + 4/5*u**3 + 0 - 192/5*u = 0?
-12, 0, 4
Let j(u) = -2*u**3 - 46*u**2 - 289*u - 242. Let v(a) = -5 + 7 - 10*a - 2 + 11*a. Let q(i) = -2*j(i) - 6*v(i). Find f, given that q(f) = 0.
-11, -1
Let y be ((-81133)/(-156))/((-27)/(-72)). Let v = y + -1386. What is t in -4/9 - 2/3*t**3 + 2/9*t + v*t**2 = 0?
-2/3, 1
Let t(r) be the first derivative of -21*r**5/40 - r**4/4 - 120*r + 27. Let d(y) be the first derivative of t(y). Solve d(v) = 0 for v.
-2/7, 0
Factor 4*a**3 - 11*a**3 + 12*a**2 - 4*a**3 - 30*a**4 - 41453*a + 41457*a + 25*a**5.
a*(a - 1)**2*(5*a + 2)**2
Let c(r) be the second derivative of r**5/50 - 13*r**4/15 - 71*r**3/15 + 84*r**2 - 575*r. Suppose c(i) = 0. What is i?
-5, 3, 28
Find t such that -70756/3*t**2 - 2128/3*t - 16/3 = 0.
-2/133
Let i(a) be the first derivative of -a**4/22 - 1286*a**3/33 - 103040*a**2/11 + 207368*a/11 - 261. Factor i(q).
-2*(q - 1)*(q + 322)**2/11
Let k = 240 + -240. Factor 70*u + k*u**2 + 4*u**2 - 8*u**2 - u**2 - 245.
-5*(u - 7)**2
Suppose 83*l - 92*l + 4761 = 0. Let s = l + -526. Factor -8/13 + 16/13*m + 2/13*m**s - 10/13*m**2.
2*(m - 2)**2*(m - 1)/13
Suppose 0 = 853*b + 1614*b - 2231 - 2703. Factor -108/5 - 112/5*l - 4/5*l**b.
-4*(l + 1)*(l + 27)/5
Solve -1/10*f**3 - 111/10 - 109/10*f**2 + 221/10*f = 0.
-111, 1
Factor 72/7*t**3 + 4/7*t**4 + 0 + 384/7*t + 320/7*t**2.
4*t*(t + 2)*(t + 4)*(t + 12)/7
Factor -20*k**3 - 18 + 804*k + 776*k - 2361*k + 2*k**4 + 801*k + 16*k**2.
2*(k - 9)*(k - 1)**2*(k + 1)
Let a(j) = j**3 + 1. Let i(d) be the second derivative of d**5/5 - 7*d**3/3 - 5*d**2 + 4*d - 4. Let m(g) = -2*a(g) + i(g). Solve m(c) = 0 for c.
-2, -1, 3
Let q(o) be the second derivative of o**6/105 - o**5/35 + 2*o**3/21 - o**2/7 - 2*o - 1208. Factor q(s).
2*(s - 1)**3*(s + 1)/7
Let i be 140/315 - (-190)/180. Let f = -4 + 6. Factor -3/4*v**f + 9/4*v - i.
-3*(v - 2)*(v - 1)/4
Let 298*o**3 + 286*o**2 + 137*o**2 - 7133*o**4 + 7189*o**4 + o**2 - o**5 + 183*o = 0. Calculate o.
-3, -1, 0, 61
Let v be 4*(0 + -7 + 8). Let g be ((8/3)/(-8))/(v/(-16)). Suppose -2/3*c + 2*c**4 - 2/3*c**5 + 2 + g*c**3 - 4*c**2 = 0. What is c?
-1, 1, 3
Factor 3/2*z**3 + 225/2*z**2 + 219/2 + 441/2*z.
3*(z + 1)**2*(z + 73)/2
Factor 0 - 2/7*o**2 + 116/7*o.
-2*o*(o - 58)/7
Let l = 168/5 + -331/10. Let z(q) be the first derivative of q**2 - 15 - l*q**4 - 6*q + 2*q**3. Factor z(t).
-2*(t - 3)*(t - 1)*(t + 1)
Let v(l) = -l - 1. Let q be v(-4). Suppose h + 2*o = 0, -3 = -2*h + o + 12. Factor -16*t**4 + h*t**3 - 6*t + 6*t - 2*t**q.
-4*t**3*(4*t - 1)
Suppose -424*p - 400*p + 1748 + 724 = 0. Factor 2/17*u**2 - 8/17*u - 8/17 + 2/17*u**p.
2*(u - 2)*(u + 1)*(u + 2)/17
Suppose 139*t - 968 = -103*t. Let n(s) be the first derivative of 28 + 2/15*s**3 + 0*s + 0*s**t - 2/25*s**5 + 0*s**2. Factor n(a).
-2*a**2*(a - 1)*(a + 1)/5
Factor -171*l**2 - 186552*l**3 + 65*l - 266*l - 3*l**4 + 0*l**4 - 78 + 186501*l**3.
-3*(l + 1)**2*(l + 2)*(l + 13)
Let g(w) be the second derivative of 13*w**4/12 + 8*w**3/3 + 3*w**2/2 - 2433*w. Let g(q) = 0. Calculate q.
-1, -3/13
Suppose 193*v = 188*v + 195. What is y in 16253*y**4 - 9*y**3 + v*y**2 - 16250*y**4 + 51*y**3 = 0?
-13, -1, 0
Let d be (2*(-54)/12)/(-3). Factor 15*b + 16*b**2 - 47*b**2 + 21*b**2 - 5*b**d.
-5*b*(b - 1)*(b + 3)
Let q(u) = -3*u**5 + 2*u**4 + 3*u**3 - 2*u + 2. Let l(p) = p**5 - 2*p**2 - p - 1. Let m(x) = 2*l(x) + q(x). Solve m(d) = 0.
-1, 0, 2
Let z be 12/(-3 - (-2 - 20/8)). Let v(y) = y**2 - 8*y + 4. Let a be v(z). Factor -4*u**2 + u + u**2 - 12*u**a + 15*u**4 - u**3.
u*(u - 1)*(u + 1)*(3*u - 1)
Let a(o) be the third derivative of 30976*o**5/15 - 3344*o**4/3 + 722*o**3/3 - 1052*o**2 + 3. Solve a(m) = 0 for m.
19/176
Suppose -452*z - p = -447*z - 141, 2*z = -p + 69. Find f such that -z*f**2 - 51/2*f - 9/2*f**3 - 6 = 0.
-4, -1, -1/3
Let h(k) = -531*k**3 + 1040*k**2 - 507*k + 18. Let l(p) = 177*p**3 - 347*p**2 + 169*p - 5. Let i(c) = 3*h(c) + 10*l(c). Let i(u) = 0. Calculate u.
-4/177, 1
Suppose -3*l - 46 = -2*u + 56, 0 = -5*l - 20. Factor -20*p**2 + u - 45 + 6*p**3 - 2*p**3.
4*p**2*(p - 5)
Determine h, given that 36925 + 2*h**3 - 1310 - 784*h**2 + 2*h**3 + 21260*h + 42793 + 16360*h = 0.
-2, 99
Let g(i) = i**4 - i**2 - 4*i**3 + 248 - 248. Let b(t) = 3*t**4 - 12*t**3 - 5*t**2. Let q(o) = 2*b(o) - 7*g(o). Let q(k) = 0. Calculate k.
0, 1, 3
Let j(o) be the third derivative of -o**6/1440 - o**5/240 + 13*o**3/2 + 16*o**2 + 4. Let z(u) be the first derivative of j(u). Factor z(x).
-x*(x + 2)/4
Let q be 4/(-50) - 1232/(-400). Factor -2 + q*d - 75*d**3 - 72*d**3 + 2*d**2 + d**5 + 218*d**3 - 75*d**3.
(d - 1)**3*(d + 1)*(d + 2)
Let s be (54/9)/(1*2). Let n be 0 + -2