Factor 16*v**2 - 21*v**2 - a - 35*v + 47.
-5*(v - 1)*(v + 8)
Let o be (12/28)/((-375)/(-3500)). Let i be (-1)/(-5) - 3/15. Factor i*m + 0 + 6/5*m**2 + 4/5*m**3 - 2/5*m**o.
-2*m**2*(m - 3)*(m + 1)/5
Let j(l) be the third derivative of -247*l**5/5 + l**4/3 + 1092*l**2. Factor j(g).
-4*g*(741*g - 2)
Let d(t) be the second derivative of -t**9/15120 + t**8/6720 + t**7/252 + t**6/90 + 5*t**4 - 37*t. Let m(p) be the third derivative of d(p). Factor m(x).
-x*(x - 4)*(x + 1)*(x + 2)
Let i(x) be the second derivative of x**4 + 2*x**2 + 1/5*x**5 + 110*x - 1 + 2*x**3. Let i(z) = 0. Calculate z.
-1
Suppose 5*h = 3*t - 4*t - 121, -h - 25 = t. Let i be (-9)/(-2) + -4 + 12/h. Factor 0*y - 2*y**2 - 15/2*y**4 - 9*y**3 + i + 25/4*y**5.
y**2*(y - 2)*(5*y + 2)**2/4
Factor 0*v + 1/8*v**4 + 0 - 31/8*v**3 + 0*v**2.
v**3*(v - 31)/8
Let m be ((-5 - 13) + 7)*9/((-990)/4). Factor -3/5*h + m*h**3 + 1/5*h**5 + 3/5*h**4 - 1/5 - 2/5*h**2.
(h - 1)*(h + 1)**4/5
Let g(j) = 5*j**2 - 620*j + 1125. Let p(h) = 2*h**2 - 314*h + 563. Let i(v) = -3*g(v) + 5*p(v). Factor i(u).
-5*(u - 56)*(u - 2)
Let z = 8473 + -177931/21. Let l(x) be the first derivative of 2/21*x**3 - z*x**2 + 28 + 0*x - 1/42*x**4. Factor l(w).
-2*w*(w - 2)*(w - 1)/21
Let y(b) be the second derivative of b**5/150 + 4*b**4/5 - 223*b**3/45 + 10*b**2 - 8*b + 438. Solve y(f) = 0 for f.
-75, 1, 2
Factor -52 - 1/2*y**3 - 21/2*y**2 + 63*y.
-(y - 4)*(y - 1)*(y + 26)/2
Let o(w) = w**3 + 61*w**2 - w - 58. Let n be (1701/(-42))/27 + (-119)/2. Let k be o(n). Factor 0 - 2/7*g - 32/7*g**k + 16/7*g**2.
-2*g*(4*g - 1)**2/7
Let j(t) = 1 + 6*t - 4*t - 3*t. Let c be j(-2). Factor -20*u**4 + 12*u**2 + 5*u**c + 17*u**4 - 2*u**3 - 12*u.
-3*u*(u - 2)*(u - 1)*(u + 2)
Let n(l) be the second derivative of -110*l - 1/48*l**4 + 13/12*l**3 + 0*l**2 + 0. Factor n(d).
-d*(d - 26)/4
Let r(b) be the second derivative of -b**7/231 + b**6/55 + 3*b**5/110 - b**4/6 + 2*b**3/11 + b + 691. Suppose r(s) = 0. What is s?
-2, 0, 1, 3
Let s(t) be the first derivative of 9*t**4/2 - 86*t**3 + 391*t**2 + 1058*t + 118. Factor s(v).
2*(v + 1)*(3*v - 23)**2
Let k(b) be the second derivative of b**7/6300 - b**6/20 + 27*b**5/4 + 5*b**4 + 45*b. Let n(g) be the third derivative of k(g). Solve n(z) = 0.
45
Determine j so that 58/3*j**3 - 54*j**2 - 52/3 + 158/3*j - 2/3*j**4 = 0.
1, 26
Let d(l) = l**2 + 6*l - 88. Let a be d(7). Suppose 10*n - 7937*n**3 - 5*n**2 + 5*n**5 + 5*n**4 + 0*n**5 + 7922*n**a = 0. Calculate n.
-2, -1, 0, 1
Let z be ((-2304)/(-5))/((-16039)/12309 - 36/(-22)). Factor -z - 288/5*y - 3/5*y**2.
-3*(y + 48)**2/5
What is n in 93/4*n**3 + 3/4*n**4 + 0 - 7581/4*n + 285/4*n**2 = 0?
-19, 0, 7
Let m(s) be the third derivative of s**7/350 - s**6/200 - 9*s**5/25 + 2*s**4/5 + 32*s**3 - 7*s**2 + 22*s - 9. Factor m(n).
3*(n - 5)*(n - 4)*(n + 4)**2/5
Factor -1920 - 65*s**3 - 86903572*s + 631*s**2 + 379*s**2 + 86899892*s.
-5*(s - 8)**2*(13*s + 6)
Find n, given that -944 + 932/3*n + 4/3*n**2 = 0.
-236, 3
Let d be (-150)/4*(-8)/6. Factor -d + 79*q - 454*q**3 + 449*q**3 - 14*q - 10*q**2.
-5*(q - 2)*(q - 1)*(q + 5)
Let g(p) be the second derivative of -p**4/6 + 149*p**3/3 - 148*p**2 + 36*p - 6. Determine m so that g(m) = 0.
1, 148
Let m(z) be the first derivative of -z**6/21 + 36*z**5/7 - 263*z**4/14 + 116*z**3/7 - 6951. Solve m(i) = 0.
0, 1, 2, 87
What is m in 425/2 - 1/4*m**3 + 315/4*m + 6*m**2 = 0?
-5, 34
Let o(w) be the second derivative of 17/15*w**4 + 12/5*w**3 - 1/25*w**5 + 12 + 0*w**2 - 6*w. Suppose o(y) = 0. Calculate y.
-1, 0, 18
Determine w so that 3/2*w**4 + 312 + 180*w - 249/2*w**2 + 9*w**3 = 0.
-13, -1, 4
Factor -1/2*h**4 + 78608 + 12716*h - 1530*h**2 + 49*h**3.
-(h - 34)**3*(h + 4)/2
Suppose 24 = 15*v - 7*v. Factor 0 + 8*w - 4*w**2 + 0 + 783*w**v - 787*w**3.
-4*w*(w - 1)*(w + 2)
Suppose -4*d = -w - 26, 4*w - 3*d + 20 + 58 = 0. Let g be 8 + (11 + w - -1). Let 5/7*q**g + 0 + 1/7*q**4 - 4/7*q**3 - 2/7*q = 0. What is q?
0, 1, 2
Let l(g) = 6*g**4 + 16*g**3 + 10*g**2 + 4*g + 8. Let f(i) = -5*i - 7 - 10*i**2 - 21*i**4 + 14*i**4 - 3 - 17*i**3. Let j(w) = 4*f(w) + 5*l(w). Factor j(k).
2*k**2*(k + 1)*(k + 5)
Let z(q) = 8*q**3 + 3*q - 16*q**2 + 8*q**3 - 29 - 15*q**3. Let x be z(16). Factor 4 - x*k**2 + 37*k**2 - 14*k**2 + 8*k.
4*(k + 1)**2
Suppose -o + 9*o = -4*o. Suppose -9*a + 11*a - 70 = o. Let -2*p + 3*p**2 + a - 41 - p = 0. What is p?
-1, 2
Let d(n) be the second derivative of 93*n + 1/4*n**3 + 1/4*n**4 + 1/40*n**5 - 2 - 5/2*n**2. Let d(o) = 0. Calculate o.
-5, -2, 1
Let z be (-3)/(1 + (-34)/28). Let n be 390/91 + (-4)/z. Let 8*s**2 - s**3 - 4 - 2*s**3 + 3*s**3 - n*s**4 = 0. What is s?
-1, 1
Let g(h) be the second derivative of 2*h**6/9 - 9*h**5/4 - 835*h**4/36 + 100*h**3 + 250*h**2/3 - 159*h - 2. Solve g(n) = 0.
-5, -1/4, 2, 10
Find c, given that 158 + 789/5*c - 1/5*c**2 = 0.
-1, 790
Suppose -19*b**2 + 212*b - 49*b**2 - b**2 + 64*b - 199*b**2 - 8 = 0. What is b?
2/67, 1
Let h be 3 + -3 + -2 + 2 - 2831. Let y = h + 19849/7. Factor -8/7*r + y - 4/7*r**2.
-4*(r - 2)*(r + 4)/7
Let z(s) be the third derivative of s**5/210 - 67*s**4/14 + 800*s**3/21 - 4073*s**2. What is v in z(v) = 0?
2, 400
Suppose 2 = -4*k + 2*k, 5*k + 85 = 5*s. What is v in 18*v**2 - 10*v**2 - 2*v**4 + s*v - v**3 - 3*v**3 = 0?
-2, 0, 2
Let h(z) = -z**2 - 6. Let n(r) = 2*r**2 - 353*r - 704. Let c(o) = h(o) + n(o). What is l in c(l) = 0?
-2, 355
Let v(i) = -43*i**3 + 237*i**2 - 863*i + 672. Let r(t) = -6*t**3 + 34*t**2 - 122*t + 96. Let l(a) = 15*r(a) - 2*v(a). Factor l(o).
-4*(o - 4)*(o - 3)*(o - 2)
Let l(d) be the second derivative of d**5/4 + 50*d**4/3 + 1010*d**3/3 + 2600*d**2 + 357*d + 1. Suppose l(i) = 0. What is i?
-26, -10, -4
Let n(q) be the second derivative of -q**6/60 + 31*q**5/8 - 307*q**4/24 + 51*q**3/4 + 1343*q. Let n(w) = 0. Calculate w.
0, 1, 153
Let d(q) = -10*q - 2. Let i be d(-3). Let m be 7/i*(-16)/(-2). Find l such that -l**3 - 3 + 0 - 7*l - 3*l**m - 2*l**2 = 0.
-3, -1
Suppose 276*f = 340*f - 320. Let q(p) be the first derivative of -64/3*p**3 - 6*p**4 + 14/5*p**f + 0*p**2 + 31 + 32*p + p**6. Let q(r) = 0. What is r?
-2, -1, 2/3, 2
Let m(h) be the first derivative of h**3 + 195*h**2/2 - 198*h - 1283. Factor m(n).
3*(n - 1)*(n + 66)
Let w be (8/(-10) + ((-41800)/(-375))/11)*(-4)/(-42). Factor -8/9 - 2/9*b**3 + 2/9*b + w*b**2.
-2*(b - 4)*(b - 1)*(b + 1)/9
Let j be -11 - -46 - (115 - 84). Solve j*s**2 + 136/5*s - 12/5*s**3 - 96/5 = 0 for s.
-3, 2/3, 4
Let v(r) be the third derivative of 0*r**3 + 0*r**6 + 10*r**2 - 1/330*r**5 + 2*r + 0 + 1/1155*r**7 + 0*r**4. What is h in v(h) = 0?
-1, 0, 1
Let q(j) be the third derivative of -j**5/100 - 13*j**4/30 + 16*j**3/3 + 14*j**2 + 5*j. Suppose q(d) = 0. What is d?
-20, 8/3
Let t(h) be the second derivative of h**7/3780 - h**5/180 - 2*h**4/3 - 3*h**2/2 - 2*h + 1. Let i(y) be the third derivative of t(y). Factor i(q).
2*(q - 1)*(q + 1)/3
Find t such that 166*t + 61*t**2 - 87 - 306*t + 69*t**2 + 102*t**3 - 48 + 5*t**4 + 38*t**3 = 0.
-27, -1, 1
Let x = -126179 - -126191. Factor x + 32/5*w + 4/5*w**2.
4*(w + 3)*(w + 5)/5
Suppose -9/2*f**3 + 6*f**2 + 0 + 10*f - 1/2*f**4 = 0. Calculate f.
-10, -1, 0, 2
Let 2*q**2 - 4*q + 24*q + 6*q**4 - q**5 - 6*q**2 - 135*q**3 + 120*q**3 + 2*q**4 = 0. Calculate q.
-1, 0, 2, 5
Let x(z) be the first derivative of -2/7*z**2 + 8/7*z - 8/21*z**3 - 70 + 1/7*z**4. What is p in x(p) = 0?
-1, 1, 2
Let s be (0/2)/((8/28*7)/1). Suppose 1/6*j**2 + 3*j + s = 0. What is j?
-18, 0
Let i(w) = w**4 - w**3 + w**2 - 2. Let h(p) = -24*p**4 - 183*p**3 - 291*p**2 - 168*p - 18. Let g(s) = -h(s) + 9*i(s). Factor g(k).
3*k*(k + 2)**2*(11*k + 14)
Let s be ((-138)/(-92))/(-1*(-2)/4). Determine a, given that -12*a**2 + 18*a + 11 - 3*a**4 - 18 + 22 - 18*a**s = 0.
-5, -1, 1
Determine x so that -8*x**3 - 111 + 447 - 496*x + 12868*x**2 + 0*x**3 - 13216*x**2 = 0.
-42, -2, 1/2
Suppose 23*t = 7*t + 1872. Let k be 980/t + ((-122)/(-18) - 7). Factor -k*u - 28/13*u**2 - 28/13.
-2*(2*u + 7)*(7*u + 2)/13
Let s be (-2)/(-5) + 44/90. Let o = -89777 - -89777. Let -4/9*x**2 + o - s*x = 0. What is x?
-2, 0
Let g(c) be the first derivative of 2*c**2 - 34 + 0*c - 2/3*c**3 - c**4 + 2/5*c**5. Suppose g(k) = 0. What is k?
-1, 0, 1, 2
Let k(i) = -228*i**3 + 4*i**2 - 6*i + 2. Let f be k(1). Let y be ((-9)/f)/1*32. Factor 14/19*j**2 - 8/19 + y*j.
2*(j + 2)*(7*j