 - 1/8*v**2 - 98.
-(v - 28)**2/8
Let x(s) be the first derivative of -s**3 + 57*s**2/2 + 198*s + 2573. Factor x(p).
-3*(p - 22)*(p + 3)
Let d(p) be the first derivative of -17 - 21/5*p - 1/15*p**3 + p**2. Factor d(h).
-(h - 7)*(h - 3)/5
Let u = 364 + -361. Find a, given that 3 + 4*a**3 - u + 14796*a**2 - 6*a - 14794*a**2 = 0.
-3/2, 0, 1
Let g(n) be the first derivative of -2*n**5/35 + 5*n**4/14 - 2*n**3/3 + 3*n**2/7 - 2735. Factor g(u).
-2*u*(u - 3)*(u - 1)**2/7
Let h = -7400 + 4606. Let r be 20/(-310) - h/1023. Suppose -r*v - 4/3*v**2 + 0 = 0. Calculate v.
-2, 0
Let p be (11*1)/((-17)/(-34)). Suppose 3*a + 3*g = 15, -2*a - 3*a - 2*g = -p. Find k, given that 19*k**a + 2*k**3 - 2*k**5 - k + k - 11*k**4 - 8*k**2 = 0.
-1, 0, 1, 4
What is q in -150*q**5 + 59*q**3 + 81*q**2 - 163*q**4 + 53*q**2 + q**2 + 20*q + q**3 - 42*q**4 = 0?
-1, -1/6, 0, 4/5
Let v(r) be the second derivative of -r**4/4 - 1259*r**3 - 4755243*r**2/2 + 209*r. Solve v(k) = 0.
-1259
Let z be 9/(-3) - (-1548)/(-18). Let n = z + 93. Factor b**2 - b**n + 0 - 2/5*b**3 + 2/5*b.
-b*(b - 1)*(b + 1)*(5*b + 2)/5
Let h(b) be the first derivative of -b**5/25 - 19*b**4/4 - 803*b**3/5 - 23837*b**2/10 - 82522*b/5 - 10208. Factor h(p).
-(p + 11)**3*(p + 62)/5
Let r be 6/(-14) - (-15930)/(-413). Let k be ((-24)/90)/(26/r). Find c, given that 6/5*c + 4/5*c**2 + 0 - k*c**3 = 0.
-1, 0, 3
Let y be ((-48)/72)/(2/(-9)). Let c(m) = 2*m - 8. Let r be c(6). Let 2*v**y - 3*v**4 + 12*v**r - 6*v**4 + v**3 = 0. What is v?
-1, 0
Suppose 148 = 9*b + 130. Suppose b*m - 4*m + 7*m = 0. Find z such that -4/3*z + 2/3*z**3 - 2/3*z**2 + m = 0.
-1, 0, 2
Let r(j) = j**2 - 5. Let h(c) = -5*c**2 - 1230*c - 1209. Let b(s) = -h(s) - 4*r(s). Factor b(t).
(t + 1)*(t + 1229)
Let x be (28 + 2)*(-1)/(-3)*2. Suppose x = t + 17. Factor 7*z**2 - 4*z**2 - 12 + 4*z**2 + 9*z**t + 8*z**2 - 9*z - 3*z**4.
-3*(z - 4)*(z - 1)*(z + 1)**2
Let p(w) be the first derivative of 1444/5*w + 38/5*w**2 + 1/15*w**3 + 123. Factor p(n).
(n + 38)**2/5
Let w(r) be the second derivative of 82*r + 68/3*r**3 + 0 - 70*r**2 + 1/3*r**4. Determine b, given that w(b) = 0.
-35, 1
Factor -1/3*m**2 + 8*m + 25/3.
-(m - 25)*(m + 1)/3
Let s(l) be the third derivative of l**7/210 - 7*l**6/32 + 103*l**5/120 + 81*l**4/32 - 3*l**3 + 2*l**2 + 190. Solve s(u) = 0 for u.
-1, 1/4, 3, 24
Let y(u) = u**3 - 4*u**2 - 32*u + 67. Let c be y(7). Let g(m) = -m**3 - 7*m**2 + 18*m - 118. Let r be g(c). Factor 2/21*l**3 - 4/21*l**r + 4/21 - 2/21*l.
2*(l - 2)*(l - 1)*(l + 1)/21
Suppose -8*o = -4*o + 4*n - 2944, 3*n - 1475 = -2*o. Factor -2*q**2 + 3*q**2 + 170*q - 712 - o - 6*q**2.
-5*(q - 17)**2
Factor 55/3 - 55/3*y**2 + 1/3*y - 1/3*y**3.
-(y - 1)*(y + 1)*(y + 55)/3
Let m(u) = 2*u**2 + 10*u - 38*u - 134 + 160. Let n(w) = -2*w**2 + 28*w - 26. Let c = -27 + 23. Let i(p) = c*m(p) - 3*n(p). Factor i(h).
-2*(h - 13)*(h - 1)
What is i in -98/5*i**3 + 0 - 1/5*i**2 + 0*i - 192/5*i**4 = 0?
-1/2, -1/96, 0
Let f(k) = -2*k**3 - 32*k**2 + 35*k + 19. Let y be f(-17). Factor -17*t**3 - 15*t**y + 16*t**3 + 20*t**2.
-t**2*(t - 5)
Let w(h) = -2*h**3 + 9*h**2 - 2*h + 2. Let s(l) = -18*l**3 + 427*l**2 + 478*l + 108. Let o(g) = s(g) - 5*w(g). Solve o(x) = 0.
-1, -1/4, 49
Let q(b) be the first derivative of -8/45*b**5 - 4/9*b**3 + 0*b - 55 + 11/18*b**4 - 1/27*b**6 + 0*b**2. What is g in q(g) = 0?
-6, 0, 1
Let a(h) be the second derivative of h**4/18 + 28*h**3/9 - 29*h**2/3 - 5873*h. Factor a(c).
2*(c - 1)*(c + 29)/3
Let k(n) = -n**2 - 3*n - 9. Let v(z) = -9*z**2 - 480*z - 527. Let f(o) = -24*k(o) + 3*v(o). Factor f(t).
-3*(t + 1)*(t + 455)
Let f = -41953 + 41956. Let k(s) be the second derivative of -4 - s + 14/3*s**f + 8*s**2 - 2/3*s**4. Factor k(u).
-4*(u - 4)*(2*u + 1)
Let y(b) = -5*b**3 + 1684*b**2 - 235759*b - 157924. Let t(m) = m**3 + 1. Let q(i) = 2*t(i) + y(i). Factor q(f).
-(f - 281)**2*(3*f + 2)
Let z(k) be the second derivative of -k**6/1080 + k**5/12 - 29*k**4/72 + 5*k**3/6 - k**2 - 9*k + 6. Let n(u) be the second derivative of z(u). Factor n(y).
-(y - 29)*(y - 1)/3
Suppose -66 = -o + 2*q + 41, 0 = -3*o - 5*q + 365. Determine p so that -126*p**2 + 75 - o*p - 5*p**3 + 0*p**3 + 171*p**2 = 0.
1, 3, 5
Let l(a) = -385*a**3 + 300*a**2 + 6215*a - 12870. Let x(u) = -29*u**3 + 23*u**2 + 478*u - 990. Let q(o) = -3*l(o) + 40*x(o). What is y in q(y) = 0?
-9, 2, 11
Suppose -24*x = -4*x - 1020. Suppose 23*z = 40*z - x. Let 6/11*f**z - 4/11 - 1/11*f**4 - 13/11*f**2 + 12/11*f = 0. Calculate f.
1, 2
Let l be (-12)/(-8)*(35/(-21) + 1). Let t(w) = 3*w**3 - 54*w**2 + 129*w + 180. Let a(v) = v**3. Let k(s) = l*t(s) + 6*a(s). Factor k(n).
3*(n - 3)*(n + 1)*(n + 20)
Solve -22*g**2 + 49*g + 12 - 29*g**2 - 27*g**3 - g + 4*g**2 + 14*g**2 = 0 for g.
-2, -2/9, 1
Let f(v) be the first derivative of v**6/15 - 6*v**5/25 - 7*v**4/5 + 32*v**3/5 - 32*v**2/5 + 576. Find i such that f(i) = 0.
-4, 0, 1, 2, 4
Let i(o) be the third derivative of -o**5/90 + 467*o**4/18 - 218089*o**3/9 - o**2 - 16*o - 26. Find r, given that i(r) = 0.
467
Let f(o) be the second derivative of -o**5/5 - 47*o**4/72 + 181*o**3/18 - 5*o**2/4 - 4*o - 241. Let f(m) = 0. What is m?
-5, 1/24, 3
Let d(v) = -13*v**3 + 27*v**2 + 32*v + 8. Let r(g) = 5*g**3 - 9*g**2 - 11*g - 3. Let n be (-3)/((-21)/24*3 + 3). Let u(t) = n*r(t) - 3*d(t). Factor u(z).
-z*(z + 1)*(z + 8)
Let r(t) = 96 - 15*t + t**2 + 0*t**2 - 78 + 0*t**2. Let k be r(14). Suppose 0 - 2*z**k - 157*z**3 + 0 + 2*z**2 - 2*z**5 + 159*z**3 = 0. What is z?
-1, 0, 1
Let y(a) be the third derivative of -a**6/60 - 119*a**5/15 - 707*a**4/12 - 470*a**3/3 + 47*a**2 - 11*a + 2. Let y(v) = 0. Calculate v.
-235, -2, -1
Solve 3*l - 3/4*l**4 - 63/4 + 33/2*l**2 - 3*l**3 = 0.
-7, -1, 1, 3
Determine x, given that 530/11*x**3 + 1054/11*x**2 + 2/11*x**4 + 0 + 526/11*x = 0.
-263, -1, 0
Let k = 500 + -496. Solve 31 - 31 + 40*w**3 - 4*w**2 - 8*w**3 + 45*w**5 - 73*w**k = 0 for w.
0, 2/9, 2/5, 1
Determine l so that 98/3*l - 22/9*l**3 - 14/9*l**2 - 2/9*l**4 + 0 = 0.
-7, 0, 3
Suppose 20 = -2*g - 4*b, g - 5*b - 15 = -2*b. Suppose 6*q - 3*q - 9 = g. What is i in 3 - q*i - 7*i**2 + 4*i**2 - 9*i**3 + 12*i**3 = 0?
-1, 1
Let i(k) be the second derivative of 0*k**2 + 0 + 42*k - 55/12*k**4 + 1/4*k**5 - 65/3*k**3. Factor i(u).
5*u*(u - 13)*(u + 2)
Determine a, given that -6000/7*a**2 + 1300/7*a**3 + 10000/7*a + 0 + 4/7*a**5 - 120/7*a**4 = 0.
0, 5, 10
Let w be (-702)/(-189) - (316/(-28) - -13). Factor -8/3 + 2*s - 1/3*s**w.
-(s - 4)*(s - 2)/3
Let l = -43 - -53. Suppose l*f = -2*f + 36. Factor -8*q**3 + f*q + 5*q - 66*q**2 + 62*q**2 + 2*q**4 + 2*q**4.
4*q*(q - 2)*(q - 1)*(q + 1)
Let n(v) be the second derivative of 61/3*v**4 + 2 + 0*v**2 + 132*v + 32/5*v**5 + 2/15*v**6 + 20*v**3. Suppose n(j) = 0. What is j?
-30, -1, 0
Let w(k) = k**2 - 495*k + 1518. Let x(u) = 4*u**2 - 1492*u + 4552. Let j(r) = -8*w(r) + 3*x(r). Factor j(g).
4*(g - 126)*(g - 3)
Let m = 159 - 146. Factor -8*c - 4*c**5 + 28*c**2 - 6087*c**4 - m*c**3 - 23*c**3 + 6107*c**4.
-4*c*(c - 2)*(c - 1)**3
Suppose 6 = 98*k - 97*k. Let o(f) be the second derivative of 2/45*f**6 + 11/9*f**4 - 2/63*f**7 + 0*f**2 + 8/9*f**3 + 0 + 3/5*f**5 + k*f. Factor o(r).
-4*r*(r - 4)*(r + 1)**3/3
Suppose -205 = -10*q - 85. Let w be (-18)/33*(-2 + 16/q). Find b such that 10/11*b**3 - w*b**2 + 4/11 - 10/11*b = 0.
-1, 2/5, 1
Suppose 1300 = -4*r + 1316. Let o(n) be the second derivative of 5/12*n**r - 1/20*n**5 - 7/6*n**3 + 3/2*n**2 - n + 0. Let o(f) = 0. What is f?
1, 3
Find j, given that -3/5*j**4 + 0 - 16854/5*j - 324/5*j**3 - 9063/5*j**2 = 0.
-53, -2, 0
Let b(j) = j**2 + 3*j**3 + 0*j**2 + 17*j**2 + 99 + 60*j - 108. Let s(o) = -2*o**3 - 9*o**2 - 30*o + 5. Let y(h) = -5*b(h) - 9*s(h). Solve y(i) = 0 for i.
-2, 0, 5
Let j(g) be the second derivative of 0*g**2 - 5/48*g**4 + 3*g + 1/120*g**6 + 1/4*g**3 + 4 - 1/40*g**5. Factor j(l).
l*(l - 3)*(l - 1)*(l + 2)/4
Find y such that 0 - 2/11*y**3 + 2/11*y**5 + 12/11*y**4 + 0*y - 12/11*y**2 = 0.
-6, -1, 0, 1
Let z = -3713/5 - -44561/60. Let h(y) be the first derivative of -z*y**3 + 0*y + 1/4*y**2 + 21. Determine k so that h(k) = 0.
0, 2
Let -51286 + 3*y**3 - 1497*y**2 + 186000*y + 116124 + 122662 = 0. Calculate y.
-1, 250
Let u be -12*(-14)/840*3. Suppose -1/5*k**2 + 4/5*k - u = 0. Calculate k.
1, 3
Let s be 2/(-3)*(-39)/((-30)/(-8) + 1209/372). Solve 32/7*t**2 + 2/