- 1)*(q + 1)/5
Let f(g) be the second derivative of 3*g**5/20 + 653*g**4/4 - g - 2385. Factor f(s).
3*s**2*(s + 653)
Let x(k) = -k**3 + 6*k**2 - 5*k + 34. Let o be x(6). Let u(f) be the third derivative of o*f**2 + 1/240*f**5 + 0*f + 0*f**4 + 0 - 1/6*f**3. Factor u(g).
(g - 2)*(g + 2)/4
Let d = 679/4024 + -22/503. Let q(g) be the second derivative of -3/4*g**2 - d*g**3 + 1/16*g**4 - 12*g + 0. Solve q(h) = 0.
-1, 2
Let t(d) = -6*d**2 + 2*d + 1. Let m(c) = -62*c**2 + 22*c + 34. Let y(i) = m(i) - 10*t(i). Find u such that y(u) = 0.
-3, 4
Suppose -2*g = -4*a - 32 - 40, -3*g + 110 = -4*a. Let r = 199 + -175. Factor 15 - 14*i - 20*i + g*i - r*i + 5*i**2.
5*(i - 3)*(i - 1)
Let z(m) be the first derivative of 51 + 0*m**5 + 5/2*m**4 - 20/3*m**3 - 1/6*m**6 - 4*m + 15/2*m**2. Factor z(t).
-(t - 1)**4*(t + 4)
Let z be (-27)/(-9)*1/3. Let h = 16 + -41. Let q(a) = -a + 1. Let o(f) = 30*f**2 + 20. Let w(l) = h*q(l) + z*o(l). Suppose w(n) = 0. Calculate n.
-1, 1/6
Let v(x) = -x**4 - x**3 + x**2. Let m(n) = -7*n**4 - 5*n**3 + 7*n**2 - n. Let t = -454 - -448. Let h(p) = t*v(p) + m(p). Let h(g) = 0. What is g?
-1, 0, 1
Let l(v) be the second derivative of -v**4/15 - 28*v**3/5 - 74*v**2 - 3*v - 164. Factor l(c).
-4*(c + 5)*(c + 37)/5
Suppose -11*c - 3808 - 4*c**2 + 76*c + 227*c = 0. What is c?
17, 56
Let a(u) be the second derivative of 3*u**7/49 + 367*u**6/35 + 32743*u**5/70 - 18931*u**4/14 + 8928*u**3/7 - 3844*u**2/7 + 99*u + 2. What is o in a(o) = 0?
-62, 1/3, 1
Let i be (2/((-12)/5))/((-1)/6). Let w(n) be the first derivative of -12*n**4 + 3*n**5 - 4*n**5 - 41*n**2 - i - 35*n**3 + 2*n**4 - 4*n**2. Factor w(s).
-5*s*(s + 2)*(s + 3)**2
Let w(q) be the first derivative of 3/8*q**4 + 85 - 1/30*q**5 - 23/18*q**3 + 6*q + 1/4*q**2. Determine n, given that w(n) = 0.
-1, 3, 4
Let y(n) = n**2 + 1005*n + 3024. Let i be y(-3). Find g, given that 6 + i*g - 3/2*g**2 - 9/2*g**3 = 0.
-2, -1/3, 2
Let b be 0*2/4 + 10*4. Solve -28*q**3 + 36*q**2 - 10*q**2 - 16*q - 2*q**2 + b*q**2 = 0 for q.
0, 2/7, 2
Let v(i) = 2*i**2 - 25*i + 24. Let m be v(22). Determine b, given that m*b**3 - b**2 + 2*b - 436*b**3 + 9*b**2 = 0.
-1, -1/3, 0
Let u(y) be the first derivative of y**6/66 - 72*y**5/55 - 147*y**4/44 - 74*y**3/33 + 825. Suppose u(h) = 0. What is h?
-1, 0, 74
Factor -2/9*g**3 + 0 - 68*g - 70/9*g**2.
-2*g*(g + 17)*(g + 18)/9
Let r(c) = -13*c**2 - 781*c - 1655. Let x(s) = 63*s**2 + 3915*s + 8274. Let g(l) = 24*r(l) + 5*x(l). Factor g(d).
3*(d + 2)*(d + 275)
Let z(i) be the third derivative of -13/12*i**4 + 0*i - 169/6*i**3 + 0 - 60*i**2 - 1/60*i**5. Factor z(j).
-(j + 13)**2
Find m, given that -2/19*m**2 - 18/19*m + 224/19 = 0.
-16, 7
Solve -1/4*z**3 + 190969 - 190532*z - 1747/4*z**2 = 0.
-874, 1
Let k be (((-3)/7 + (-20)/35)*(4 + -4))/(-8). Factor 0*j + k - 8/5*j**2 - 2/5*j**3.
-2*j**2*(j + 4)/5
Let v be (((-68)/(-8))/17)/((-2)/(-12)). Suppose v = 6*i - 9. Let -1/6*s**i + 1/6 + 0*s = 0. What is s?
-1, 1
Factor -y**2 - 119 - 133 + 2*y**2 + 15*y + y**2 + y**2.
3*(y - 7)*(y + 12)
Let n be 2/(36/126*1/(-2)). Let r be ((-4)/n)/(36/252). Determine s, given that 1/3*s**r + 2/3*s + 0 = 0.
-2, 0
Find t, given that -11 + 346*t**3 + 148*t**4 + 190*t**3 - 385 + 248*t**2 + 10468*t**5 - 10464*t**5 - 540*t = 0.
-33, -3, -1, 1
Let o(y) = -7*y**5 - 13*y**4 - 7*y**3 + 11*y**2 + 12*y. Let d(x) = -15*x**5 - 25*x**4 - 15*x**3 + 20*x**2 + 25*x. Let r(u) = 2*d(u) - 5*o(u). Factor r(m).
5*m*(m - 1)*(m + 1)**2*(m + 2)
Suppose 1163*w - 2317*w + 1157*w - 9 = 0. Factor 2/15*u**w - 4/15*u + 0 - 2/15*u**2.
2*u*(u - 2)*(u + 1)/15
Let x(r) be the third derivative of r**5/90 - 229*r**4/36 + 454*r**3/9 - r**2 - 968*r. Factor x(s).
2*(s - 227)*(s - 2)/3
Find n such that 13*n**4 - n**3 - 4*n + 372 + 5*n**5 - 17*n**2 - 180 - 188 = 0.
-2, -1, 2/5, 1
Let v(a) = 7*a - 16. Let h be v(6). Let y = h - 24. Let -10*w**y + 2*w - 4*w + 9*w**2 = 0. Calculate w.
-2, 0
Factor -34/5 + 4*b**3 - 659/5*b**2 - 713/5*b.
(b - 34)*(b + 1)*(20*b + 1)/5
Let y(v) = 59*v**2 + 5*v - v - 62*v**2. Let k(g) = -11*g**2 + 13*g. Let q(z) = 4*k(z) - 14*y(z). Factor q(b).
-2*b*(b + 2)
Suppose 0 = 156*n - 4088 + 968. Find j, given that -n*j - 22/7*j**2 - 1/7*j**3 - 200/7 = 0.
-10, -2
Find v, given that -29*v - 53*v + 120*v - 43*v**3 - 51*v + 4*v**4 + 53*v**2 - v**4 = 0.
0, 1/3, 1, 13
Let q be (-18)/(-4)*(-529)/(-4761). Factor q*j**2 + 0 - 1/6*j**3 - 1/3*j.
-j*(j - 2)*(j - 1)/6
Let o be (-8)/42 - (-34907)/10941. Factor 3/4*i**o - 33*i + 129/4*i**2 + 0.
3*i*(i - 1)*(i + 44)/4
Suppose -118/9*m + 4/3*m**3 + 92/3 - 34/9*m**2 = 0. What is m?
-3, 2, 23/6
Factor -32*r + 2/23*r**3 + 76/23*r**2 + 0.
2*r*(r - 8)*(r + 46)/23
Suppose -6647/3*n + 3174 + 351*n**2 + 1/3*n**4 - 19*n**3 = 0. Calculate n.
2, 9, 23
Let z(i) be the first derivative of -24 - 5/2*i**3 + 15*i - 69/4*i**2. Solve z(w) = 0.
-5, 2/5
Let d(k) be the second derivative of k**6/135 + 5*k**5/18 + 8*k**4/3 - 57*k - 16. Factor d(t).
2*t**2*(t + 9)*(t + 16)/9
Let p = -283955 + 1135825/4. Factor 0 - p*l**3 - 1/8*l**4 + 11/8*l**2 + 0*l.
-l**2*(l - 1)*(l + 11)/8
Let -92*t**3 + 281/3*t - 122/3*t**2 - 5/3*t**5 - 82/3*t**4 + 68 = 0. What is t?
-12, -17/5, -1, 1
Let p(h) be the second derivative of -3*h**5/20 + 151*h**4/4 + 2*h**3 - 906*h**2 - 4*h - 71. Solve p(w) = 0 for w.
-2, 2, 151
Let f(s) be the third derivative of 11*s**5/150 + 3*s**4/4 + 34*s**3/15 - 1409*s**2. Factor f(m).
2*(m + 1)*(11*m + 34)/5
Let s = -997 + -124. Let q = -1116 - s. Factor 2/13*a**q - 2/13*a**4 - 2/13*a**3 + 2/13*a**2 + 0 + 0*a.
2*a**2*(a - 1)**2*(a + 1)/13
Let p(x) = -11*x - 30. Let f be p(-3). Factor -5*y**f - 54*y**2 + 13*y**2 - 46*y + 15*y**2 + 3*y**3 - 22.
-2*(y + 1)**2*(y + 11)
Let f(b) be the first derivative of b**5/330 - 5*b**4/22 + b**2/2 + 20*b + 98. Let r(v) be the second derivative of f(v). Suppose r(a) = 0. Calculate a.
0, 30
Let g = 531041/3 + -177011. Factor -10/3*x + g*x**3 - 4/3 - 4/3*x**2 + 2/3*x**5 + 8/3*x**4.
2*(x - 1)*(x + 1)**3*(x + 2)/3
Let v(t) = t**2 + 7*t + 12. Let p be v(-6). Let h(m) = 9*m**2 + 3. Let y(c) = 3*c**2 - 4*c**2 - 2*c + 3*c. Let o(d) = p*y(d) + h(d). What is f in o(f) = 0?
-1
Let a(d) be the second derivative of -21*d**5/20 + 29*d**4/2 + 440*d**3 - 384*d**2 + 28*d - 77. Factor a(u).
-3*(u - 16)*(u + 8)*(7*u - 2)
Let 288 + 50*h**2 - 42455*h**3 - 42458*h**3 + 84915*h**3 + 336*h = 0. What is h?
-12, -1
Suppose -282/5*v + 541/10*v**2 + 14 - 177/10*v**4 + 11/2*v**3 + 1/2*v**5 = 0. What is v?
-2, 2/5, 1, 35
Let f(a) be the first derivative of -1/16*a**6 + 0*a**3 + 5/12*a**4 + 4*a**2 + 1/24*a**5 + 0*a + 4. Let h(d) be the second derivative of f(d). Factor h(o).
-5*o*(o + 1)*(3*o - 4)/2
Let a(z) = 2*z**2 + 1338*z + 207368. Let r(i) = -2*i**2 - 1328*i - 207368. Let k(d) = 4*a(d) + 5*r(d). Suppose k(q) = 0. Calculate q.
-322
Let r(d) be the third derivative of -d**7/630 - 11*d**6/360 + 19*d**5/45 - 8*d**4/9 - 999*d**2. Let r(p) = 0. Calculate p.
-16, 0, 1, 4
Let t be ((-1)/27)/((-120)/4). Let c = 65/162 - t. What is i in 1/5*i**2 + c*i + 0 = 0?
-2, 0
Let c be 10/(-75) - 7510/150. Let p = 507/10 + c. Suppose 0*u**2 + 0 - 1/4*u**5 + 0*u + p*u**4 - 1/4*u**3 = 0. What is u?
0, 1
Let z be (-2)/(-10)*(6 - 7/7). Let q be (z/(-3))/((-705)/(-180) + -4). Factor 1/8*d**q + 1/2 + 1/4*d**3 - 1/2*d - 3/8*d**2.
(d - 1)**2*(d + 2)**2/8
Let y(x) be the second derivative of x**6/120 + x**5/20 + x**4/24 - x**3/6 - 3*x**2/8 + 46*x. Factor y(k).
(k - 1)*(k + 1)**2*(k + 3)/4
Suppose 108 + 27*d**3 + 25*d - 195*d**2 - 382*d - 251*d + 164*d = 0. Calculate d.
-2, 2/9, 9
Let b = 52571 + -52568. Factor 2/11*t - 2/11*t**b - 30/11*t**2 + 30/11.
-2*(t - 1)*(t + 1)*(t + 15)/11
Let h be -1615*((-42)/(-24) - 2). Let r = 404 - h. Factor 0 + r*o**3 + 1/4*o - 1/2*o**2.
o*(o - 1)**2/4
Let z(d) = -3*d - 15. Let q(r) = -7*r**2 + 1. Let b be q(-1). Let x be z(b). Factor 8*j**x - 23*j**3 + 6*j**2 + 18*j**3.
3*j**2*(j + 2)
Let v(w) be the second derivative of -w**4/114 + 566*w**3/57 - 80089*w**2/19 + 554*w. Solve v(s) = 0 for s.
283
Suppose -4*i**2 - 4*i**4 + 22/3*i**3 + 2/3*i**5 + 0 + 0*i = 0. What is i?
0, 1, 2, 3
Let d = -2099503/3 - -699837. Factor d*i**3 + 32/3 + 2/9*i**4 + 32/3*i**2 + 160/9*i.
2*(i + 2)**3*(i + 6)/9
Let q(i) be the first derivative of -i**5/36 - 25*i**4/36 - 35*i**3/6 - 21*i**2/2 + 4*i - 146. Let n(w) be the second deri