- 9*s**3 - 6*s**3 + s**3 + 4*s**4 + 51*s - s**4 - s**3 + h = 0?
-1, 3, 4
Let p = 1344571/3 - 448189. Find l such that p*l**3 - 34/3*l**4 + 0 - 4/3*l + 34/3*l**2 = 0.
-1, 0, 2/17, 1
Let n(m) be the second derivative of m**5/5 - 16*m**4/3 + 106*m**3/3 + 140*m**2 + 50*m + 1. Solve n(k) = 0.
-1, 7, 10
Factor -54/7*z**2 - 8 + 2/7*z**4 + 104/7*z + 4/7*z**3.
2*(z - 2)**2*(z - 1)*(z + 7)/7
Let o(q) be the second derivative of q**4/114 - 2*q**3/19 - 135*q**2/19 - 46*q - 8. Factor o(p).
2*(p - 15)*(p + 9)/19
Factor -217*p - 13/7*p**2 + 234/7.
-(p + 117)*(13*p - 2)/7
Let f = -62333/2 - -31167. Factor 0 - 2*n - f*n**4 - 5/2*n**3 - 4*n**2.
-n*(n + 1)*(n + 2)**2/2
Let l be (224/2464)/((-480)/(-22)). Let s(m) be the third derivative of -5/96*m**4 + 0 + l*m**5 + 5*m**2 + 1/4*m**3 + 0*m. Solve s(h) = 0 for h.
2, 3
What is l in -557441767/4 - 1/4*l**3 - 2469/4*l**2 - 2031987/4*l = 0?
-823
Let o(h) = -8*h**3 - 1814*h**2 - 550856*h - 55636250. Let f(x) = -27*x**3 - 5440*x**2 - 1652569*x - 166908748. Let k(j) = 2*f(j) - 7*o(j). Factor k(v).
2*(v + 303)**3
Let z(m) be the second derivative of -27/17*m**2 + 1/102*m**4 - 3 - 26/51*m**3 + 44*m. Factor z(t).
2*(t - 27)*(t + 1)/17
Let k = -94083 + 94086. Factor 1/6*y**2 + 1/3*y - 1/6*y**4 - 1/3*y**k + 0.
-y*(y - 1)*(y + 1)*(y + 2)/6
Suppose -3*s + 8*s = 85. Suppose -5*g = 5*p - 5, -4*g - 1 - 5 = -p. Suppose -s*h**2 + 5*h**3 - 5*h**3 + 4*h**3 + 5*h**p = 0. Calculate h.
0, 3
Let c = 5933 - 5929. Let d(k) be the second derivative of 0 - 1/27*k**3 - 15*k - 2/3*k**2 + 1/54*k**c. Let d(s) = 0. What is s?
-2, 3
Let d(c) be the second derivative of c**6/55 - 6*c**5/55 - 7*c**4/22 + 34*c**3/11 - 72*c**2/11 - 1528*c. Solve d(w) = 0.
-3, 1, 2, 4
Let g(w) be the second derivative of -w**6/720 + 7*w**5/120 + 5*w**4/16 + w**3/6 + w**2/2 - 143*w. Let u(o) be the second derivative of g(o). Factor u(j).
-(j - 15)*(j + 1)/2
Let f(h) be the second derivative of -h**9/12096 - h**8/1120 - 3*h**7/1120 + 2*h**3/3 - 2*h**2 + 201*h. Let t(r) be the second derivative of f(r). Factor t(m).
-m**3*(m + 3)**2/4
Factor -2/11*a**4 - 7200/11 - 4080/11*a - 68/11*a**3 - 818/11*a**2.
-2*(a + 5)**2*(a + 12)**2/11
Suppose 5*r = -4*j - 4, -5*j + 5 = r + 10. Let w(m) be the third derivative of -1/450*m**5 + 0*m + r - 2*m**2 - 1/5*m**3 - 1/30*m**4. Let w(v) = 0. Calculate v.
-3
Suppose 2*q = -3*n - 0*n - 4, -2*n - 8 = 0. Solve -v**3 - 32*v**2 + 9*v**4 - 7*v**3 - 410*v**5 + 414*v**5 + 4*v + 7*v**q + 16 = 0.
-4, -1, 1
Let g(a) be the second derivative of -a**6/345 + 3*a**4/46 + 24*a - 5. Solve g(s) = 0.
-3, 0, 3
Let u(m) be the first derivative of -m**6/30 - m**5/4 - 2*m**4/3 - 2*m**3/3 + 13*m + 40. Let t(n) be the first derivative of u(n). Factor t(p).
-p*(p + 1)*(p + 2)**2
Let h(u) be the second derivative of 1/1080*u**6 + 2*u**3 + 1/360*u**5 + 0*u**2 - 2*u + 0 + 0*u**4. Let p(a) be the second derivative of h(a). Factor p(i).
i*(i + 1)/3
Let i(u) = -1874*u**3 - 3740*u**2 - 1840*u + 8. Let y(w) = -1873*w**3 - 3738*w**2 - 1842*w + 8. Let g(f) = -5*i(f) + 6*y(f). Let g(o) = 0. What is o?
-1, 2/467
Let m = -2379 + 2382. Let h(w) be the second derivative of 1/12*w**4 + 1/20*w**5 - 4*w + 0*w**2 + 1/120*w**6 + 0*w**m + 0. Factor h(u).
u**2*(u + 2)**2/4
Let o(h) be the third derivative of -1/40*h**6 + 0 + 0*h**5 + 45*h**2 + 2*h + 1/8*h**4 + 0*h**3. Suppose o(v) = 0. What is v?
-1, 0, 1
Let c(t) be the first derivative of -3*t**5/20 - 9*t**4/16 + 7*t**3/4 + 81*t**2/8 + 27*t/2 + 3937. Let c(q) = 0. Calculate q.
-3, -2, -1, 3
Let l(s) be the third derivative of 0 - 2/105*s**7 - 8/3*s**4 - 4/15*s**6 - 10/3*s**3 - 11*s - 6/5*s**5 - 2*s**2. Factor l(v).
-4*(v + 1)**3*(v + 5)
Let s(m) be the third derivative of 0*m + 7/48*m**4 + 0*m**3 + 0 + 1/20*m**5 - 1/240*m**6 + 152*m**2. Suppose s(a) = 0. What is a?
-1, 0, 7
Let m(w) = 5*w**3 + 332*w**2 - 735*w + 326. Let u(x) = x**2 + 5*x + 3. Let f(n) = -m(n) - 8*u(n). Factor f(z).
-5*(z - 1)**2*(z + 70)
Let z(b) be the second derivative of -b**7/1365 + b**6/260 - b**5/195 - 75*b**2/2 - b - 5. Let g(c) be the first derivative of z(c). Factor g(j).
-2*j**2*(j - 2)*(j - 1)/13
Let a(f) be the third derivative of f**7/140 + 41*f**6/120 - 59*f**5/30 + 5*f**4/2 - 13*f**2 - 14*f. Factor a(b).
b*(b - 2)*(b + 30)*(3*b - 2)/2
Let q(f) be the second derivative of 41*f**5/120 + 43*f**4/72 + f**3/18 - 1629*f. Determine k so that q(k) = 0.
-1, -2/41, 0
Let c(z) = z**5 + 12*z**4 - 6*z**3 - 6*z**2 + 6*z. Let v(j) = j**5 + 7*j**4 - 5*j**3 - 5*j**2 + 5*j. Let r(q) = -5*c(q) + 6*v(q). Factor r(m).
m**4*(m - 18)
Let s(l) = 10*l**2 + 16*l + 35. Let u be s(-2). Factor u - 12 + 54 - 14*h**2 + 23*h + 9*h**2 + 57*h.
-5*(h - 17)*(h + 1)
Suppose -14 = -y + 2*t, 0 = -y - 4*t + 7 - 23. Let r(n) be the first derivative of 3 + 12 - n**3 - 9*n + 6*n**2 + 0*n - y. Factor r(z).
-3*(z - 3)*(z - 1)
Let m = -24320/9 - -24328/9. Suppose m*j + 0*j**2 + 0 - 2/9*j**4 - 2/3*j**3 = 0. Calculate j.
-2, 0, 1
Let 4134/17*x**2 + 2432/17*x**3 + 14/17*x**4 - 688/17 + 1028/17*x = 0. What is x?
-172, -1, 2/7
Let k(r) = -20*r**3 + 140*r**2 - 8*r - 154. Let p(o) = -3*o**3 - o**2 - o - 1. Let y(i) = -3*k(i) + 21*p(i). Determine m so that y(m) = 0.
-147, -1, 1
Let j(z) be the first derivative of z**4/2 - 22*z**3 + 92*z**2 - 120*z - 1122. Factor j(x).
2*(x - 30)*(x - 2)*(x - 1)
Let i(t) be the second derivative of -27*t**5/20 + 1221*t**4 - 667453*t**3/2 + 1973163*t**2 + t - 2935. Factor i(b).
-3*(b - 2)*(3*b - 811)**2
Let f(c) = -c + 12. Let y(n) = -n**2 - 6*n + 2. Let p be y(-4). Let l be f(p). Factor 4 + u**2 + l - 8 + u.
(u - 1)*(u + 2)
Suppose 185*q**4 + 10985 + 11035*q + 5*q**5 + 792*q**3 + 1358*q**3 - 30470*q + 7011*q**2 - 901*q**2 = 0. Calculate q.
-13, 1
Let b(u) = 135*u**2 + 9490*u - 10285. Let z(g) = -5*g**2 - 352*g + 381. Let x(n) = 2*b(n) + 55*z(n). Factor x(d).
-5*(d - 1)*(d + 77)
Let v(k) be the third derivative of k**7/1680 - 7*k**6/480 - 9*k**5/40 - 13*k**4/12 + 8*k**2 + 3. Let q(g) be the second derivative of v(g). Factor q(w).
3*(w - 9)*(w + 2)/2
Let d(s) be the first derivative of 0*s**2 - 4/45*s**3 + 0*s**5 + 0*s - 1/45*s**6 - 41 + 1/10*s**4. Determine o so that d(o) = 0.
-2, 0, 1
Let c(l) be the first derivative of l**6/15 + 4*l**5/25 - 3*l**4/5 - 8*l**3/15 + 13*l**2/5 - 12*l/5 + 3309. Determine s so that c(s) = 0.
-3, -2, 1
Let w(m) = -362*m**2 - 61794*m - 41220. Let y(v) = -42*v**2 - 6866*v - 4580. Let a(x) = -6*w(x) + 52*y(x). What is c in a(c) = 0?
-2/3, 1145
Factor 1368*p**4 + 256*p**2 - 1364*p**4 - 64*p**3 - 4*p - 3*p + 7*p.
4*p**2*(p - 8)**2
Let w(n) be the third derivative of 7/15*n**3 - 145*n**2 + 1/24*n**4 - 2/75*n**5 + 0 + 1/600*n**6 + 0*n. Factor w(i).
(i - 7)*(i - 2)*(i + 1)/5
Let q(y) be the third derivative of y**10/80640 - y**9/1920 - 11*y**8/8960 + 29*y**4/8 + 3*y**2 + 13*y. Let c(s) be the second derivative of q(s). Factor c(m).
3*m**3*(m - 22)*(m + 1)/8
Let g(l) = l**3 + 4*l**2 - 36*l + 3. Let w be g(0). Let k = -2303/5 - -463. Suppose 28/5*b**2 + k*b**4 + 0 + 56/5*b**w - 16/5*b = 0. What is b?
-4, -1, 0, 1/3
Let k(f) be the third derivative of f**5/12 - 145*f**4/24 + 4*f**2 + 26. Determine v, given that k(v) = 0.
0, 29
Let j = 1056377 - 3169130/3. Factor -8 + j*r**2 - 10/3*r.
(r - 12)*(r + 2)/3
Let l(a) be the third derivative of 2*a**7/735 + a**6/5 - 184*a**5/105 - 2*a**2. Let l(f) = 0. What is f?
-46, 0, 4
Suppose 428 + 265 = 77*t. Let b be (1 - 200/24) + t. Solve 7/3*g**3 - 7/3*g + 2/3 - b*g**4 + g**2 = 0 for g.
-1, 2/5, 1
Let r(d) = 7040*d - 7040. Let a be r(1). Factor a - 25/3*g + 1/3*g**4 + 3*g**3 + 5*g**2.
g*(g - 1)*(g + 5)**2/3
Let o(b) = -3*b**2 + 48*b + 3. Let v(l) = -l**2 + 47*l + 2. Suppose 9 = 2*s - 5*s. Let a(t) = s*v(t) + 2*o(t). Factor a(i).
-3*i*(i + 15)
Let s(i) be the second derivative of i**7/3780 - i**6/54 + i**4/3 + 3*i**2 - 55*i. Let j(g) be the third derivative of s(g). Factor j(v).
2*v*(v - 20)/3
Let s(d) be the third derivative of d**5/330 - 133*d**4/22 - 799*d**3/33 - 2*d**2 - 94*d - 42. Factor s(r).
2*(r - 799)*(r + 1)/11
Let h(n) = -316*n**3 - 652*n**2 - 278*n + 45. Let p(b) = -158*b**3 - 325*b**2 - 140*b + 21. Let r(f) = -6*h(f) + 13*p(f). Factor r(q).
-(q + 1)**2*(158*q - 3)
Suppose 0 = 269*h - 867*h + 3588. Determine s, given that 0 + h*s - 3/2*s**3 - 8*s**2 = 0.
-6, 0, 2/3
Let b be (-5)/(-4)*(-35)/(-175). Factor