*n**7 + 76*n + 0*n**2 + 27/10*n**5 - 4/5*n**6. Solve h(a) = 0.
0, 1, 5
Let p(v) be the second derivative of 2*v**7/21 + 224*v**6/15 + 4566*v**5/5 + 26532*v**4 + 337590*v**3 + 862488*v**2 + v - 168. Factor p(z).
4*(z + 1)*(z + 12)*(z + 33)**3
Let x(h) be the second derivative of h**5/4 - 5*h**4/12 - 100*h**3 - 1170*h**2 + 6*h - 272. Factor x(i).
5*(i - 13)*(i + 6)**2
Let y = 137 - 132. Suppose -4*b + b + 14 = 4*d, 2*d - 14 = -y*b. Determine p so that 89*p**2 - 81*p**d + 4*p - 2*p - 14 - 2*p**3 + 6 = 0.
-1, 1, 4
Let j be (30/55)/(-45*(-17)/11781). Factor 52/15 + j*y - 2/3*y**2.
-2*(y - 13)*(5*y + 2)/15
Factor -420 - 5/4*v**2 + 575/4*v.
-5*(v - 112)*(v - 3)/4
Let m(r) = -10*r**2 + 160*r - 1600. Let a(g) = -52*g**2 + 800*g - 8000. Let c(n) = 34*n - 105. Let l be c(3). Let w(k) = l*a(k) + 16*m(k). Factor w(b).
-4*(b - 20)**2
Let u(r) = -15*r**2 + 6*r + 1119. Let l(v) = 49*v**2 - 17*v - 3352. Let t(c) = 3*l(c) + 10*u(c). Suppose t(d) = 0. What is d?
-18, 21
Suppose -h - 78 = -4*h. Let g(z) = -z + h - 9 - 18 + z**3. Let b(x) = -15*x**3 + 26*x**2 - 12*x. Let s(d) = 5*b(d) + 40*g(d). Factor s(j).
-5*(j - 2)**2*(7*j + 2)
Suppose -971*i = 26*i - 3988. Suppose -20/7*p**2 + 2/7*p**3 + 0 + 16/7*p + 2/7*p**i = 0. Calculate p.
-4, 0, 1, 2
Let v(j) be the first derivative of -j**4/38 - 26*j**3/57 - 51*j**2/19 - 126*j/19 - 386. Factor v(u).
-2*(u + 3)**2*(u + 7)/19
Let -2*y**4 - 42*y**2 - 48301*y**3 + 0*y + 48281*y**3 + 0*y = 0. Calculate y.
-7, -3, 0
Factor 3/8*c**4 + 0 + 36*c**2 + 0*c + 21/2*c**3.
3*c**2*(c + 4)*(c + 24)/8
Let n = 381 - 1841/5. Let v(a) be the second derivative of n*a**2 + 2/5*a**4 - 15*a + 16/5*a**3 + 0 + 1/50*a**5. Factor v(m).
2*(m + 4)**3/5
Suppose 5*h - 24 = -h. Suppose -k**3 - 14*k**2 - 1598*k**5 + 1601*k**5 + 2*k**2 - 2*k**3 + 12*k**h = 0. Calculate k.
-4, -1, 0, 1
Let h(n) = n + 15. Let k be h(21). Suppose 0*p + k = 2*p. Factor -4*l**4 + l**2 + 17*l**5 + 3*l**4 + l**3 - p*l**5.
-l**2*(l - 1)*(l + 1)**2
Let h(f) be the first derivative of f**3/6 - 11*f**2/4 + 12*f - 222. Suppose h(u) = 0. What is u?
3, 8
Let i(h) be the third derivative of -6*h + 5/24*h**6 - 37/8*h**4 - 21*h**2 + 7/30*h**5 + 0 + 3*h**3 - 1/35*h**7. Solve i(m) = 0.
-2, 1/6, 3
Let p(x) be the first derivative of -7 + 0*x - 1/4*x**4 - 1/5*x**5 + 1/6*x**6 + 1/3*x**3 + 0*x**2. What is s in p(s) = 0?
-1, 0, 1
Let c = -75 + 83. Let -20 + c*n**2 - 4*n**2 + 60*n - 29*n**2 = 0. Calculate n.
2/5, 2
Let q(t) be the first derivative of t**5/80 - 46*t + 97. Let o(a) be the first derivative of q(a). Factor o(x).
x**3/4
Let q(y) be the second derivative of 54/5*y**2 + 52*y + 1/20*y**4 + 0 - 6/5*y**3. What is p in q(p) = 0?
6
Let u(o) be the second derivative of 12*o**2 + 783/2*o**4 + 0 - 2523/20*o**5 + 216*o + 114*o**3. Find n such that u(n) = 0.
-2/29, 2
Suppose 0 = 3*q - 232 + 223. Suppose y = q*n - 0*n - 3, 0 = -5*n - 5*y + 25. Factor -3/2*v**3 - 1/4*v**4 - n*v**2 + 3/2*v + 9/4.
-(v - 1)*(v + 1)*(v + 3)**2/4
Let k(f) be the second derivative of 3*f**6/200 - 13*f**5/200 + f**4/10 + 9*f**3 + 72*f - 2. Let w(x) be the second derivative of k(x). What is q in w(q) = 0?
4/9, 1
Let 95/6*u - 1295/6*u**3 + 1135/6*u**2 + 0 + 65/6*u**4 = 0. What is u?
-1/13, 0, 1, 19
Let j be (3/(-72)*-6)/(-1) - 2888/(-160) - 9. Determine a so that -42/5*a**2 - 2/5*a**3 + 0 + j*a = 0.
-22, 0, 1
Suppose -64 = -2*l + 3*a, a + a = -4*l + 96. Let -m**2 + 8*m - 42 + 0*m**2 + l = 0. Calculate m.
4
Factor 86/13*p**2 + 88/13*p - 2/13*p**3 + 0.
-2*p*(p - 44)*(p + 1)/13
Let m(n) be the third derivative of 0 - 1/135*n**6 - 272*n**2 + 0*n - 1/945*n**7 + 1/270*n**5 + 1/27*n**4 + 0*n**3. Solve m(u) = 0.
-4, -1, 0, 1
Let d = 3601 - 3599. Let c(q) be the second derivative of 18*q + 0 - 1/3*q**3 - 1/80*q**5 - 7/48*q**4 + 2*q**d. Factor c(i).
-(i - 1)*(i + 4)**2/4
Let u(l) be the third derivative of 0*l**3 + 19*l - 5*l**2 - 3/2*l**4 + 0 - 1/15*l**5. Factor u(b).
-4*b*(b + 9)
Let q(c) = 1415*c**3 + c**2 - c + 2. Let p be q(1). Suppose p*h + 5 = 1418*h. Suppose 29/4*u**3 - 3/2*u**4 - 1/2*u**2 - h*u + 2 - 9/4*u**5 = 0. What is u?
-2, -1, 2/3, 1
Let s(b) = 3*b + 5*b**3 - 12*b**2 - 6*b**3 + 8*b**3 + 23 - 2*b**3. Let n(k) = -10*k**3 + 25*k**2 - 5*k - 45. Let v(f) = 3*n(f) + 5*s(f). Solve v(i) = 0.
-1, 2
Let o be (-3*(-10)/99)/((-2652)/(-7293)). Factor 0 + o*t**4 - 1/6*t**3 - 5/6*t**2 + 0*t + 1/6*t**5.
t**2*(t - 1)*(t + 1)*(t + 5)/6
Let -93734 + 10233 - 2348*f**3 - 7377 - 31900*f**2 - 2072*f**3 - 2*f**5 - 104250*f - 37872 - 246*f**4 = 0. What is f?
-103, -5
Let p(m) be the third derivative of m**7/840 + m**6/90 + m**5/120 - m**4/4 + 10*m**3/3 - 24*m**2. Let n(w) be the first derivative of p(w). Factor n(x).
(x - 1)*(x + 2)*(x + 3)
Let t(w) be the first derivative of -3*w**4/4 + 211*w**3/2 - 384*w**2 - 927*w/2 - 1323. Suppose t(z) = 0. Calculate z.
-1/2, 3, 103
Let m(t) be the second derivative of -33/100*t**5 - 1/50*t**6 - 27/20*t**4 - 5/2*t**3 + 4*t - 12/5*t**2 + 21. Suppose m(r) = 0. Calculate r.
-8, -1
Suppose -5*c - 35 = -5*t, 4*t = -4*c - 123 + 167. Factor -1/3*u**c + 0*u + 1/3.
-(u - 1)*(u + 1)/3
Let k be ((-2)/80*-24)/(189/5180)*3. Factor k*c + 1/3*c**2 + 5476/3.
(c + 74)**2/3
Let b(g) be the second derivative of -3*g**6/40 + 11*g**5/5 - 27*g**4/8 - 7*g**3 - 109*g**2/2 - 2*g - 39. Let s(o) be the first derivative of b(o). Factor s(j).
-3*(j - 14)*(j - 1)*(3*j + 1)
Let a be (1280/150 - 8)/((-42)/(-15)). Let k(i) be the second derivative of 0*i**2 + 11*i - 1/35*i**5 + a*i**4 + 0 + 10/21*i**3. Factor k(q).
-4*q*(q - 5)*(q + 1)/7
Let i(a) be the third derivative of 0*a**3 - 1/32*a**4 + 0*a - 1/480*a**5 - 1/1680*a**7 + 39*a**2 + 1/240*a**6 + 0. Factor i(h).
-h*(h - 3)*(h - 2)*(h + 1)/8
Factor 2080*y - 2/3*y**4 + 160/3*y**3 - 1014 - 3356/3*y**2.
-2*(y - 39)**2*(y - 1)**2/3
Let k be (-27)/(-405)*72/52. Let i(c) be the first derivative of k*c**5 - 1/13*c**4 + 0*c + 0*c**2 + 12 - 2/39*c**3. Factor i(o).
2*o**2*(o - 1)*(3*o + 1)/13
Let q be (4/(-8))/(-18*7/(-84) - 3). Factor 1/3*o**2 + q*o + 0.
o*(o + 1)/3
Let s be (-18)/14 + (-68)/(-238). Let z(k) = 2*k + 4. Let b be z(s). Let 3/4*u**4 + 2*u + 1 - 13/4*u**b - 1/2*u**3 = 0. Calculate u.
-2, -1/3, 1, 2
Let -5*d**2 - 4248*d + d**2 + 325 - 3799 - 770 = 0. Calculate d.
-1061, -1
Let m(y) be the first derivative of -50 + 4/7*y**2 + 20/21*y**3 - 16/7*y - 1/21*y**6 - 1/14*y**4 - 8/35*y**5. Factor m(w).
-2*(w - 1)**2*(w + 2)**3/7
Let t(c) = -4*c**3 - 88*c**2 - 140*c - 4. Let k(j) = -8*j**3 - 175*j**2 - 293*j - 9. Let s(v) = 4*k(v) - 9*t(v). Factor s(x).
4*x*(x + 1)*(x + 22)
Suppose -11*c + 14 + 19 = 0. Suppose -227*i + 219*i - 5*i**3 + 2*i**4 + 16*i**2 - 5*i**c = 0. What is i?
0, 1, 2
Let o(c) be the third derivative of -c**7/1260 - c**6/180 + c**4/9 + c**3/2 - 121*c**2. Let w(n) be the first derivative of o(n). Factor w(z).
-2*(z - 1)*(z + 2)**2/3
Let k(x) be the first derivative of 2*x**3/27 - 698*x**2/9 + 243602*x/9 - 623. Let k(z) = 0. Calculate z.
349
Let c(w) = 6*w**2 + 1482*w + 10782. Let f(b) = -b**2 - 212*b - 1540. Let q(l) = 2*c(l) + 15*f(l). Find h, given that q(h) = 0.
-64, -8
What is k in -205/2*k + k**2 - 103/2 + 101/2*k**4 + 103*k**3 - 1/2*k**5 = 0?
-1, 1, 103
Let l(k) be the third derivative of -k**7/735 + k**6/420 + 31*k**5/210 - 61*k**4/84 + 10*k**3/7 - 43*k**2 + 12. Let l(r) = 0. What is r?
-6, 1, 5
Let l = -6100/7 + 18335/21. Let k(j) be the first derivative of l*j**3 + 0*j**2 + 0*j + 5/6*j**6 + 49 - j**5 - 5/4*j**4. What is h in k(h) = 0?
-1, 0, 1
Let h(r) = r**2 - r - 1. Let y(k) = -3*k**2 + 9. Let b(l) = 18*h(l) + 2*y(l). Let o(u) = -u**3 - 13*u**2 + 18*u. Let s(n) = 2*b(n) + 3*o(n). Factor s(p).
-3*p*(p - 1)*(p + 6)
Let p be 170/1445 + 16/(-136). Let q(k) be the second derivative of 4/5*k**5 - 1/15*k**6 + 24*k - 3*k**4 + p - 5*k**2 + 16/3*k**3. Determine f so that q(f) = 0.
1, 5
Factor 654 - 3*m**2 + 912*m + 1658 - 93*m - 329 - 333.
-3*(m - 275)*(m + 2)
Let w(g) be the third derivative of -g**6/96 + 61*g**5/24 + 105*g**4/4 - 7458*g**2. Factor w(v).
-5*v*(v - 126)*(v + 4)/4
Let o(n) be the first derivative of -n**4/36 + 2*n**3 - 35*n**2/6 + 52*n/9 + 4237. Determine f so that o(f) = 0.
1, 52
Let v(y) = 156*y + 1. Let u be v(2). Let -662*b**2 - 2*b**5 + u*b**2 + 6*b**4 + 325*b**2 + 8*b**3 = 0. What is b?
-2, 0, 2, 3
Let j(p) be the third derivative of p**6/24 - 125*p**