.
s**2*(s + 2)*(3*s + 2)/3
Let a(i) be the third derivative of 2*i**6/15 - 77*i**5/15 - 10*i**4 - i**2 + 2107. Determine v, given that a(v) = 0.
-3/4, 0, 20
Let g(x) = x**2 - 451*x + 902. Let o be g(2). Let d(t) be the second derivative of 1/60*t**6 + 0*t**3 - 4*t + 0*t**2 + 1/5*t**5 + 0 + 7/24*t**o. Factor d(j).
j**2*(j + 1)*(j + 7)/2
Suppose -37*r + 21 = -33*r - 3*v, 6 = -3*r - 5*v. Let m(j) be the first derivative of -7 + j**5 - 5*j + 5/2*j**4 - 5*j**2 + 0*j**r. Factor m(f).
5*(f - 1)*(f + 1)**3
Let d(z) be the first derivative of 4*z + 1/4*z**4 + 3*z**3 + 11/2*z**2 + 32 - 1/5*z**5. Determine c so that d(c) = 0.
-1, 4
Let d be 3/(-8) + 668/501*125/160. Find y, given that 1176 + d*y**2 - 56*y = 0.
42
Let l = 538 - 538. Suppose 6 = -l*x + 3*x. Let 1/4*f**x + 3/4 - f = 0. Calculate f.
1, 3
Let u(q) = q**3 + q**2 - q - 1. Let w(x) = -10*x**3 - 50*x**2 - 66*x - 18. Let h(y) = -2*u(y) + w(y). Factor h(p).
-4*(p + 2)**2*(3*p + 1)
Suppose -4*w - 11 = -23. Let b(p) = -11*p**3 + 30*p**w + p**3 - 5*p**2. Let d(q) = -q**3 + q**2. Let r(l) = -b(l) - 15*d(l). Find f, given that r(f) = 0.
-2, 0
Let z(n) be the second derivative of n**4/6 - 10*n**3/3 + 25*n**2 - 8*n - 299. Factor z(h).
2*(h - 5)**2
Let b(t) be the second derivative of 2 + 1/15*t**3 + 2/15*t**4 + 1/50*t**5 - 19*t - 6/5*t**2. Find j, given that b(j) = 0.
-3, -2, 1
Let c(k) = 124*k + 183. Let i be c(-6). Let q be 6/20 - i/330. Determine v, given that 0 + 3/4*v**q + 3/2*v - 3/4*v**3 = 0.
-1, 0, 2
Let u = -693418 - -3467093/5. Factor u*h**2 + 0 - 1/5*h**4 + 2/5*h**3 + 0*h.
-h**2*(h - 3)*(h + 1)/5
Suppose -187*r + 190*r - 1 = v, 35 = 5*r + 5*v. Factor -136/9 - 76/9*a - 4/9*a**r.
-4*(a + 2)*(a + 17)/9
Suppose 3*f = -f - 2*f. Let y be f*8/(-16) - (-7)/9. Suppose -5/3*x - y*x**2 - 2/9 = 0. Calculate x.
-2, -1/7
Let q(h) be the second derivative of 0 + 1/180*h**5 + 11/18*h**2 + 1/12*h**4 - 7/18*h**3 - 37*h. Let q(j) = 0. What is j?
-11, 1
Let b(j) = -2*j**4 + 170*j**3 + 469*j**2 - 688*j - 59. Let p(r) = -r**4 + r**3 + 9*r + 1. Let l(g) = b(g) + 11*p(g). Find x such that l(x) = 0.
-3, -1/13, 1, 16
Let 12*k - 1886*k**2 - 5*k**4 + 3787*k**2 - 1845*k**2 - 4*k**5 + 31*k**3 = 0. What is k?
-2, -1/4, 0, 3
Let w be (2 - 11/(-99))/(-1 - (-7)/6). Solve -37/3*n - 1/3 + w*n**2 = 0 for n.
-1/38, 1
Let w be (-26)/(-65) - ((-1)/7)/(2840/(-497)). Factor -27/8 + w*q**2 - 3*q.
3*(q - 9)*(q + 1)/8
Let j(y) = 3*y**2 - 790*y - 761. Let g(a) = -10*a**2 + 2385*a + 2283. Let w(s) = -8*g(s) - 28*j(s). What is n in w(n) = 0?
-1, 761
Let a(g) be the second derivative of g**5/70 - 37*g**4/42 + 242*g**3/21 + 40*g**2 + 954*g - 1. Factor a(s).
2*(s - 28)*(s - 10)*(s + 1)/7
Let u(r) be the first derivative of -r**4/6 - 86*r**3/9 - 161*r**2 - 294*r + 1888. Factor u(b).
-2*(b + 1)*(b + 21)**2/3
Suppose -8*y = -0*y - 1240. Suppose 3*a = -4*w + 104, -4*a = a + 3*w - y. Factor 42*i**2 - 8*i - 4*i**3 - 26*i**2 - a*i**2.
-4*i*(i + 1)*(i + 2)
Let i(k) be the first derivative of -k**5 + 375*k**4/4 - 2095*k**3/3 + 1725*k**2/2 + 789. Factor i(g).
-5*g*(g - 69)*(g - 5)*(g - 1)
Let o(r) = -r**2 - r + 1. Let y(u) = -2*u + 1. Let z be 3/(15/6 + -1). Let f(c) = z*y(c) - 2*o(c). Factor f(i).
2*i*(i - 1)
Let x(h) be the second derivative of h**6/2520 - h**5/280 + 265*h**3/6 + 37*h - 4. Let t(o) be the second derivative of x(o). What is b in t(b) = 0?
0, 3
Let w(i) be the first derivative of 121*i**6/12 + 2189*i**5/10 + 13775*i**4/8 + 34327*i**3/6 + 6630*i**2 + 3150*i + 4920. Solve w(a) = 0.
-7, -5, -6/11
Suppose 940 = 59226*q - 58991*q. Suppose -2/5*i**q + 6/5*i**2 + 0*i**3 + 4/5*i + 0 = 0. Calculate i.
-1, 0, 2
Let o(a) be the first derivative of -2/3*a**3 + 0*a - 39 - 19*a**2. Factor o(i).
-2*i*(i + 19)
Let x = -158039 - -33504361/212. Let a = -10/53 + x. Factor 3*h - 9 - a*h**2.
-(h - 6)**2/4
Let n be ((-1)/6 - 385/462)*(-9)/2. Factor -n*o**4 - 6*o**2 + 0 - 3/4*o**5 + 0*o - 9*o**3.
-3*o**2*(o + 2)**3/4
Let f be ((-6)/27)/(-1) + 39824/(-36). Let j = 9962/9 + f. Factor -4/3*u**3 + 26/9*u**2 - 8/3*u + j + 2/9*u**4.
2*(u - 2)**2*(u - 1)**2/9
Let f(p) be the third derivative of -p**7/1155 + 23*p**6/66 - 6838*p**5/165 + 25877*p**4/66 - 12769*p**3/11 - 2971*p**2. Solve f(n) = 0.
1, 3, 113
Let c be 7/(-3)*11/((-308)/48). Let p(w) be the second derivative of 5/12*w**3 - 5/24*w**c + 5/4*w**2 + 3*w + 0 - 1/8*w**5. Suppose p(s) = 0. Calculate s.
-1, 1
Let x be ((9982/(-1240))/(-161))/(4/10). Let x*k - 1/8*k**3 - 1/8*k**2 + 1/8 = 0. What is k?
-1, 1
Let r(b) = 5*b**2 - 5*b. Let z(m) = 3*m - 11. Let k(o) = -2*o + 8. Let v(p) = -4*k(p) - 3*z(p). Let l(f) = r(f) + 4*v(f). Factor l(y).
(y - 1)*(5*y - 4)
Let a(u) be the first derivative of -5/3*u**3 - 15/2*u**2 + 5/6*u**4 + 0*u + 134. Let a(d) = 0. What is d?
-3/2, 0, 3
Solve -21*g**2 - 25*g**2 - 17*g**2 + 169 + 799 + 65*g**2 + 88*g = 0.
-22
Let x(a) be the third derivative of -5*a**8/336 + 19*a**7/42 + 55*a**6/8 - 383*a**5/12 + 125*a**4/3 - 3268*a**2. Determine w, given that x(w) = 0.
-8, 0, 1, 25
Factor 3 + 0*u**3 + 51 + u**3 + 103 - 87*u + 13 - 84*u**2.
(u - 85)*(u - 1)*(u + 2)
Let f(g) be the second derivative of g**5/140 - 2*g**4/21 - 31*g**3/42 - 11*g**2/7 + 2*g + 81. Solve f(z) = 0.
-2, -1, 11
Let v(b) = 4*b**3 + 3*b**2 - 4*b + 17. Let n(d) be the second derivative of d**5/10 - d**3/3 + 4*d**2 - 137*d. Let w(q) = 5*n(q) - 2*v(q). Solve w(s) = 0 for s.
-1, 1, 3
Let f(l) be the second derivative of -l**4/4 - 265*l**3/2 + 399*l**2 - 2747*l. Factor f(p).
-3*(p - 1)*(p + 266)
Let c = -808 - -833. Let v be ((-2)/c)/((-55)/1650). Suppose -3/5*h**2 - v - 12/5*h = 0. What is h?
-2
Let z(f) be the second derivative of -8/25*f**6 + 0*f**2 - 25*f + 0 + 22/25*f**5 + 98/15*f**3 + 2/105*f**7 + 28/5*f**4. Determine k, given that z(k) = 0.
-1, 0, 7
Let w(o) be the second derivative of -o**4/15 + 2*o**3/15 - 3*o - 532. Factor w(f).
-4*f*(f - 1)/5
Let o(j) be the third derivative of j**8/336 - 43*j**7/210 + 77*j**6/15 - 763*j**5/15 + 176*j**4/3 + 2560*j**3/3 - 4879*j**2. Solve o(f) = 0.
-1, 2, 10, 16
Suppose -4*a + 23 = 3*l, 4*a - 4*l + 15 = 3. Let z = -149 + 2237/15. Determine q so that 2/15 - z*q**a + 0*q = 0.
-1, 1
Suppose -120*y + 34 + 117 + 329 = 0. Factor 0 - 22/5*t**3 - 2/5*t**5 + 2*t**2 + 14/5*t**y + 0*t.
-2*t**2*(t - 5)*(t - 1)**2/5
Let m(w) = -4*w**2 - 154*w - 73. Let b be m(-38). Let z(i) be the first derivative of 0*i + 4/5*i**5 - 4/3*i**b + 1 - 4*i**2 + 2*i**4. Factor z(o).
4*o*(o - 1)*(o + 1)*(o + 2)
Factor 60/7 - 3/7*l**3 + 3/7*l - 60/7*l**2.
-3*(l - 1)*(l + 1)*(l + 20)/7
Let a(f) be the second derivative of 7/18*f**3 - 1/3*f**2 - 1/12*f**4 + 3*f - 3. Factor a(j).
-(j - 2)*(3*j - 1)/3
Suppose -57*f**3 - 2*f + 125 + 587*f - 288*f**2 - 419 + 23*f**3 + 31*f**3 = 0. What is f?
-98, 1
Let h be (-20)/35*((-21)/(-6))/(-1). Factor -64591*t - 5*t**3 + 6931*t + 296101 + 930*t**h + 895539.
-5*(t - 62)**3
Factor -16/5*s - 1/5*s**2 + 17/5.
-(s - 1)*(s + 17)/5
Let i(g) be the first derivative of 1880*g**3/9 + 134*g**2/3 + 8*g/3 + 369. Factor i(u).
4*(10*u + 1)*(47*u + 2)/3
Let a(g) be the third derivative of g**5/180 + g**4/9 - 35*g**3/6 - 127*g**2 - 2*g. Let a(f) = 0. What is f?
-15, 7
Let d(k) be the first derivative of k**6/10 + 3*k**5/20 - 2*k**4 - 6*k**3 + 19*k - 115. Let c(l) be the first derivative of d(l). Factor c(t).
3*t*(t - 3)*(t + 2)**2
Determine p so that -736*p**3 - 361*p**4 + 564*p**4 + 2240 - 420*p**4 + 1184*p**2 + 3776*p - 219*p**4 - 52*p**5 = 0.
-70/13, -2, -1, 2
Let g be 302/(-16) + 14 - -5. Let w(h) be the first derivative of -g*h**2 + 1/16*h**4 + 0*h - 25 + 0*h**3. Factor w(d).
d*(d - 1)*(d + 1)/4
Suppose 5*n + 3*b = 24, 19*b - 14*b = 5*n. Factor 15*t**4 - 4*t**5 + 240*t**2 - 200*t**3 + n*t**5 + 40*t**4 - 4*t**5.
-5*t**2*(t - 4)**2*(t - 3)
Let m = 1130116/35 - 32250. Let u = -193/5 + m. Factor 0*b**2 + 0 + 12/7*b**3 + 0*b - 15/7*b**4 + u*b**5.
3*b**3*(b - 4)*(b - 1)/7
Let g(b) = 4*b**5 - 32*b**4 + 120*b**3 - 52*b**2 - 112*b + 84. Let d(q) = -2*q**5 + q**4 - q**3 - 1. Let t(n) = 4*d(n) + g(n). Determine s so that t(s) = 0.
-10, -1, 1, 2
Let b(s) be the second derivative of -s**5/30 + 3*s**4/4 - 61*s**2/2 - 9*s - 2. Let j(g) be the first derivative of b(g). Suppose j(u) = 0. What is u?
0, 9
Let c(m) be the second derivative of m**4/12 - 352*m**3/3 - 705*m**2/2 + 6887*m. Factor c(d).
(d - 705)*(d + 1