the second derivative of l(a). What is c in k(c) = 0?
-1, 0, 5
Let g be ((-3912)/(-29340))/((-2)/(-60)). Let 0*p + 18/5*p**g - 22/5*p**3 + 4/5*p**2 + 0 = 0. Calculate p.
0, 2/9, 1
Let b be 0*((29 - 29) + (4/(-1))/8). Factor 1/5*i**3 + 0 + 1/10*i**4 + b*i - 3/10*i**2.
i**2*(i - 1)*(i + 3)/10
Let b(f) be the first derivative of -16*f**5/5 - 175*f**4 - 1184*f**3/3 - 166*f**2 + 168*f - 611. Find q such that b(q) = 0.
-42, -1, 1/4
Factor -4977*b + 129 - 2*b**2 + 45 + 4805*b.
-2*(b - 1)*(b + 87)
Let f(c) be the second derivative of -c**4/3 + 533*c**3/6 + 7024*c**2 - 83*c. Let z(k) = -5*k**2 + 1065*k + 28095. Let q(w) = 5*f(w) - 3*z(w). Factor q(g).
-5*(g + 53)**2
Let i be (2/(-3))/(105/(-63) - (-7)/14). Factor -10/7*b - i - 2/7*b**3 - 8/7*b**2.
-2*(b + 1)**2*(b + 2)/7
Suppose 167907*l = 167866*l + 123. Determine y so that 18/13 - 2/13*y**l - 2/13*y**2 + 18/13*y = 0.
-3, -1, 3
Determine f, given that 2/19*f**4 - 84/19*f**2 + 432/19*f + 0 - 14/19*f**3 = 0.
-6, 0, 4, 9
Let r be ((-4)/3)/((-40)/60). Suppose -r*d + 13 - 7 = 0, -30 = -5*y - 5*d. Let 0 - 2/3*m**4 + 2/3*m**2 - 4/3*m**y + 4/3*m = 0. Calculate m.
-2, -1, 0, 1
Find m, given that 17/5*m - 858/5 + 1/5*m**2 = 0.
-39, 22
Let s(t) be the first derivative of -2*t**5/25 - t**4/5 + 16*t**3/15 - 72. Solve s(v) = 0.
-4, 0, 2
Let t be (5/((-3575)/(-44)))/((-34)/(-221)). Factor -12/5 - 2/5*x + t*x**2.
2*(x - 3)*(x + 2)/5
Let v be (-5 + 7)*(-5 - (-1864)/16). Suppose 0 = 220*r - v*r + 27. Find x such that 27/2 + 3/2*x**2 + r*x = 0.
-3
Let d(u) be the third derivative of -u**5/15 - 344*u**4/3 - 236672*u**3/3 - 20*u**2 - 85. Solve d(q) = 0.
-344
Factor -5429201/2*b**2 - 384043517/4*b - 58241/2*b**3 - 1/4*b**5 - 557/4*b**4 - 373301041/4.
-(b + 1)*(b + 139)**4/4
Suppose -22*i + 1772 + 340 = 0. Let -i*k - 10 + 34 - 28*k**2 - 104 = 0. Calculate k.
-2, -10/7
Let a(q) be the third derivative of -15*q**3 - 11/6*q**5 + 0*q - 215/24*q**4 + 142*q**2 + 0 + 1/8*q**6. What is u in a(u) = 0?
-1, -2/3, 9
Let m(b) be the second derivative of b**6/10 + 9*b**5/2 + 131*b**4/4 + 75*b**3 + 6*b - 48. Factor m(n).
3*n*(n + 2)*(n + 3)*(n + 25)
Let j(d) = -18*d**3 - 33*d**2 + 12*d + 27. Let i(z) = -z**3 - 2*z**2 + 1. Let h(p) = 8*p - 23. Let x be h(3). Let o(k) = x*j(k) - 15*i(k). Factor o(r).
-3*(r - 2)*(r + 1)*(r + 2)
Let n(x) be the second derivative of 1/21*x**7 + 0 - 20*x + 4/5*x**5 + 0*x**2 - 7/15*x**6 + 0*x**3 + 8/3*x**4. Factor n(l).
2*l**2*(l - 4)**2*(l + 1)
Let k(r) be the first derivative of 32/7*r + 99 + 1/28*r**4 + 0*r**2 - 2/7*r**3. Suppose k(y) = 0. What is y?
-2, 4
Let b(w) be the second derivative of -1 + 25/2*w**2 - 3/2*w**5 + 5*w**3 - 52*w - 5/3*w**4 - 1/6*w**6. Factor b(v).
-5*(v - 1)*(v + 1)**2*(v + 5)
Suppose -68*r + 111 + 117 = 46*r. Let o = -8155/9 - -913. Let 0 + 8/9*b + 10/3*b**4 + o*b**3 + 40/9*b**r = 0. Calculate b.
-1, -2/3, -2/5, 0
Let h(o) = -8*o**3 + 84*o**2 + 171*o + 86. Let x(b) = -9*b**3 + 84*b**2 + 171*b + 86. Let y(g) = 8*h(g) - 7*x(g). Find q, given that y(q) = 0.
-1, 86
Let m(t) = -t**3 - 4*t**2 + 2*t + 30. Let b be m(-6). Find k, given that -1230 - 5*k**2 + 1230 + b*k = 0.
0, 18
Suppose -180*h + 1920 = -164*h. Suppose 0 = -h*w + 128*w - 24. Factor -12/5 + 4/5*o**w - 4/5*o**2 - 4*o.
4*(o - 3)*(o + 1)**2/5
Determine t so that 1/2*t**2 + 289/2*t - 145 = 0.
-290, 1
Let o = 248 + -245. Find h, given that 90*h - 180*h + 40 - 55*h**3 - 165*h**2 + 20*h**o = 0.
-4, -1, 2/7
Let b(k) = 3*k**4 + k**3 + 3*k**2 - 3*k - 2. Let w(d) = 6524 - 2*d - d - 6526 + 4*d**4 + 4*d**2. Let s(i) = -3*b(i) + 2*w(i). Factor s(p).
-(p - 1)*(p + 1)**2*(p + 2)
Suppose 12*p - 26 = -2. Let r(j) be the second derivative of -6*j - 3/5*j**5 - 1/3*j**4 + 0 + p*j**2 + 2*j**3. Solve r(g) = 0 for g.
-1, -1/3, 1
What is a in -36 - 6*a**3 + 25*a - 73*a - 17*a**2 - 9*a**2 + 3*a**3 + 5*a**2 = 0?
-3, -2
Let s(h) = -15*h**2 - 95*h + 120. Let u(o) = -22*o**2 - 143*o + 179. Let w(g) = -7*s(g) + 5*u(g). Let w(j) = 0. Calculate j.
-11, 1
Let j(p) = -p**2 - 22*p - 150. Let v be j(-12). Let u be 2 - (-6)/v*(-90)/(-12). Solve u - 1/4*w**2 + 1/4*w = 0 for w.
-1, 2
Let l(v) = v**2 + 4*v - 3. Let r(p) = 7*p**2 + 313*p - 564. Let w(a) = 10*l(a) - r(a). Find d such that w(d) = 0.
2, 89
What is q in 587*q**2 + 68*q**3 - 188*q**3 + 4*q**4 - 2000*q + 313*q**2 = 0?
0, 5, 20
Let s be (5/(-120))/(3/(-27))*(-10)/(-135). Let f(p) be the second derivative of -s*p**4 - 10*p - 1/18*p**3 + 0 + 0*p**2. Determine m, given that f(m) = 0.
-1, 0
Let o(y) be the third derivative of -y**8/1176 - 121*y**7/735 + 89*y**6/60 - 293*y**5/70 + 9*y**4/2 - y**2 + 835*y. Find h, given that o(h) = 0.
-126, 0, 1, 3
Let j be ((-31486)/182 - -184) + 198/(-52)*2. Suppose 42/13 + j*v + 2/13*v**2 = 0. Calculate v.
-21, -1
Let a(p) be the first derivative of 1/4*p**4 - 3/4*p - 17/12*p**3 - 81 + 2*p**2. Factor a(o).
(o - 3)*(o - 1)*(4*o - 1)/4
Let q = -5 - -7. Let v be (-90)/12 + -2 + 10. Factor 1/2 + 1/8*a**q + v*a.
(a + 2)**2/8
Let h(y) be the third derivative of -y**6/360 - y**5/36 + 23*y**4/18 - 26*y**3/3 + 305*y**2 + 3*y. Suppose h(t) = 0. What is t?
-13, 2, 6
Let o(k) be the third derivative of -k**6/60 + 31*k**5/15 - 112*k**4/3 + 288*k**3 - 1945*k**2. Factor o(z).
-2*(z - 54)*(z - 4)**2
Factor -19*g**2 + 3*g**3 - 20 + 527*g + 34*g**2 - 547*g - 5*g**4 + 7*g**3.
-5*(g - 2)**2*(g + 1)**2
Let q(j) be the third derivative of 0*j**3 + 1/42*j**4 + 0 - 106*j**2 + 0*j + 0*j**5 - 1/210*j**6. Solve q(d) = 0.
-1, 0, 1
Let f(l) = -7 + 11 - 2 + l + 0 + 3*l. Let j be f(0). Find x, given that 6*x**j + 0 + 3/2*x**5 + 3/2*x + 6*x**4 + 9*x**3 = 0.
-1, 0
Suppose p - 2 - 4 = -q, 2*p - 14 = -3*q. Factor -167*a**4 - 18*a**3 + 42*a**q + a - 39*a + 169*a**4 + 12.
2*(a - 6)*(a - 1)**3
Let c(u) = -51013*u**2 - 2016*u - 32. Let p(n) = 306080*n**2 + 12095*n + 195. Let k(s) = 25*c(s) + 4*p(s). Find w, given that k(w) = 0.
-2/101
Let w be (2 - 2/4)/(60/80). Solve -9*o**2 - o**3 + 2*o**2 + 5*o**w - o = 0.
-1, 0
Suppose -10*b**2 + 33287*b - 24*b**3 - 23*b**2 - 33278*b + 3*b**2 = 0. Calculate b.
-3/2, 0, 1/4
Suppose 70*z = 92*z - 264. Let c(b) = -3*b**3 - b - 1 - 2*b**3 + 4*b**3. Let w(h) = -18*h**4 - 16*h**3 - 12*h - 12. Let l(r) = z*c(r) - w(r). Factor l(d).
2*d**3*(9*d + 2)
Let g be (578/663)/(4/36) - (-2)/13. Let o(r) be the second derivative of -4/21*r**3 + 0 + 3/7*r**2 + 1/42*r**4 - g*r. Factor o(c).
2*(c - 3)*(c - 1)/7
Let q be (100/(-15))/(-10) + 688/(-6). Let y = 119 + q. Factor -388 - 4*o + 388 + 2*o**y + 2*o**3 + 6*o**2 - 6*o**4.
2*o*(o - 2)*(o - 1)**2*(o + 1)
Let w(f) = 16*f**3 + 339*f**2 - 373*f + 45. Let q(l) = 16*l**3 + 332*l**2 - 374*l + 44. Let b(v) = -3*q(v) + 2*w(v). Solve b(y) = 0 for y.
-21, 1/8, 1
Let f(t) be the first derivative of t**3/12 + 235*t**2/4 - 471*t/4 + 216. Solve f(u) = 0 for u.
-471, 1
Let r(b) be the first derivative of 2*b**5/35 - b**4/14 - 50*b**3/21 + 25*b**2/7 - 2206. Factor r(z).
2*z*(z - 5)*(z - 1)*(z + 5)/7
Let t be (-297)/990 + (3 + -5 - 258/(-60)). Solve -8/3 - 8/3*z**t - 20/3*z = 0.
-2, -1/2
Let t(b) = b**3 - 48*b**2 - 49*b - 48. Let q be t(49). Let k = q + 50. Factor -14/3*n - 4/9 - 38/9*n**k.
-2*(n + 1)*(19*n + 2)/9
Factor -40/3*x - 125 - 1/3*x**2.
-(x + 15)*(x + 25)/3
Let 119/3*u**2 + 84 + 1/6*u**4 - 31/6*u**3 - 102*u = 0. What is u?
2, 6, 21
Let t = 4063/48612 - 1/4051. Let c(p) be the third derivative of -1/60*p**5 + 1/2*p**3 + 0*p - 14*p**2 + 0 + t*p**4. Factor c(d).
-(d - 3)*(d + 1)
Find i, given that 1257/2*i - 630 + 3/2*i**2 = 0.
-420, 1
Let x(n) = -4765*n**3 + 1155*n**2 + 110*n + 5. Let i(v) = 7147*v**3 - 1732*v**2 - 160*v - 7. Let s(d) = 5*i(d) + 7*x(d). Let s(t) = 0. Calculate t.
-3/68, 0, 2/7
Let w(g) = 45*g + 408. Let y be w(-9). Suppose -4*t - 61*l + 60*l = -y, l - 3 = 0. Factor -2/5*b**3 - 4/5*b**2 + t*b + 0.
-2*b**2*(b + 2)/5
Let c(q) be the third derivative of -17672*q**7/21 - 5875*q**6 - 139873*q**5/12 + 625*q**4/2 - 10*q**3/3 - 2*q**2 + 863*q - 1. Factor c(z).
-5*(z + 2)**2*(188*z - 1)**2
Suppose -2/3*z**2 + 220/3*z - 416 = 0. What is z?
6, 104
Let h(k) be the second derivative of k**5/80 + 5*k**4/3 - 41*k**3/6 - 1897*k. Find c, given that h(c) = 0.
-82, 0, 2
Let d(y) be the first derivative of y**3/15 + 269*y**2/10 - 2489. Factor d(p).
p*(p + 269)/5
Let g be ((-64)/(-184))/4 - (306/(-184) - 2/(-8)). Factor g*s**3 + 2*s + 3*s**2 + 0 + 1/4*s**4.
s