10*t**5 + 0 + 16*t**2 + t + 1/112*t**8 - 17/8*t**4 + 0*t**6 + 3*t**3. Suppose a(k) = 0. What is k?
-2, 1, 3
Let g(b) be the second derivative of -b**6/120 + b**4/8 - b**3/6 - 4*b - 8. Let c(p) be the second derivative of g(p). Solve c(a) = 0.
-1, 1
Let i = -26/229 - -1108/5725. Let k(z) be the first derivative of -10 + 0*z**2 + 0*z - 1/5*z**4 + i*z**5 + 2/15*z**3. Find s such that k(s) = 0.
0, 1
Factor 828*k**2 - 22*k**3 - 21*k**3 + 180 - 14*k**3 - 969*k - 3*k**3 + 21*k**3.
-3*(k - 20)*(k - 1)*(13*k - 3)
Find m, given that -95*m**5 + 19632*m**2 - 101*m**5 - 62296*m**2 + 6384*m**4 + 1164*m**3 + 22800*m - 3168 + 2880*m**3 = 0.
-3, 2/7, 2, 33
Suppose 193 = -81*m + 193. Let g(v) be the first derivative of 15 + m*v - 40/57*v**3 + 2/19*v**5 + 8/19*v**2 - 1/19*v**4. What is w in g(w) = 0?
-2, 0, 2/5, 2
Let h(d) be the second derivative of 61/24*d**3 - 5*d + 5 - 31/8*d**2 - 29/48*d**4 - 1/80*d**5. Factor h(l).
-(l - 1)**2*(l + 31)/4
Let v = 253 + -249. Determine f so that -5*f**3 - 3*f**5 + 1036*f**v - f**3 - 1027*f**4 = 0.
0, 1, 2
Let w(c) = -27*c - 23. Let m be w(1). Let b be (-123)/(-45) + -6 + (-330)/m. What is h in -b*h + 10/3*h**3 - 5/6*h**2 + 5/6*h**4 + 0 = 0?
-4, -1, 0, 1
Let r(i) = -15*i - 4. Let j be r(-9). Suppose -4*z = 4*x - 140, -4*z + 4*x + j = -x. Factor -39*d - 64 + z + 94*d - 20*d**2.
-5*(d - 2)*(4*d - 3)
Let i(u) be the third derivative of u**6/210 + 2074*u**5/35 + 2150738*u**4/7 + 17842522448*u**3/21 + 3513*u**2. Find a such that i(a) = 0.
-2074
Suppose 9*g - 6*g - 3 = 0, 2*q - 729 = -3*g. Let -31*h**2 - 396*h**2 - 9*h**5 - 39 + h**5 - 29 - 102*h**4 - q*h**2 + 438*h + 530*h**3 = 0. What is h?
-17, 1/4, 1, 2
Let w(m) = -m**3 + 27*m**2 + 5. Let i be -80*(-1)/3 - 11/(-33). Let j be w(i). Factor 199 - j*r**2 + 214 - 398 + 10*r.
-5*(r - 3)*(r + 1)
Let g(w) = 5*w**3 - 5*w - 10. Let l(s) = s**4 - s**2 + 2. Let x = 174 - 175. Let p(v) = x*g(v) - 5*l(v). Find j such that p(j) = 0.
-1, 0, 1
Let r(a) be the first derivative of -a**4/2 + 560*a**3 - 1677*a**2 + 1676*a - 6655. Determine j so that r(j) = 0.
1, 838
Factor 666*d**2 - 668*d**2 + 843*d - 739*d.
-2*d*(d - 52)
Suppose 0 = -444*o - 386*o + 4313 + 667. Suppose 3*k - 12 = k. Factor 15/8*m**5 - k*m - o*m**2 + 18*m**3 - 21/2*m**4 + 0.
3*m*(m - 2)**3*(5*m + 2)/8
Let c(n) = -7*n**2 - 18*n + 62. Let l(d) = 30*d**2 + 69*d - 249. Let j be -1*188/(-235)*10/4. Let m(h) = j*l(h) + 9*c(h). Factor m(s).
-3*(s - 2)*(s + 10)
Let a(l) = -3*l**2 + 11*l**2 + 71*l + 2*l**2 + 39. Suppose 6 = 59*i - 58*i. Let r(c) = -5*c**2 - 36*c - 19. Let y(h) = i*a(h) + 11*r(h). Factor y(f).
5*(f + 1)*(f + 5)
Let 7/3*v**3 - 5*v + 0 - 1/3*v**4 - 7/3*v**2 = 0. What is v?
-1, 0, 3, 5
Let p(o) be the first derivative of 4/7*o + 2/35*o**5 - 2/7*o**3 + 5 - 1/7*o**2 + 1/14*o**4. Solve p(q) = 0 for q.
-2, -1, 1
Suppose 10*f = -10*f + 40. Find h, given that 28*h**f - 12*h**3 - 21*h**2 + 2*h**4 + 11*h**2 = 0.
0, 3
Let a = -67/405 + 229/405. Factor -14/5*s + 36/5 - a*s**2.
-2*(s - 2)*(s + 9)/5
Suppose 44 = -5*h + 7*s + 1, -3*s = 4*h - 43. Factor -16/9 - h*i - i**3 - 1/9*i**4 - 28/9*i**2.
-(i + 1)*(i + 2)**2*(i + 4)/9
Suppose 0 = 444*o + 23094 - 23982. Suppose -280/19*b + 64/19*b**o + 288/19 + 2/19*b**3 = 0. What is b?
-36, 2
Let c(d) be the third derivative of d**6/420 + 187*d**5/35 + 26133*d**4/7 - 631688*d**3/21 - 6331*d**2. Factor c(r).
2*(r - 2)*(r + 562)**2/7
Let z(k) be the third derivative of -k**6/12 + 5*k**5/12 - 5*k**4/24 - 5*k**3/3 - 2199*k**2. Factor z(m).
-5*(m - 2)*(m - 1)*(2*m + 1)
Let d(o) be the second derivative of -25*o**7/42 - 16*o**6/3 + 173*o**5/4 - 95*o**4/3 - 50*o**3 + 541*o. Find s such that d(s) = 0.
-10, -2/5, 0, 1, 3
Let r be -2 + 5 + 0 + (5 - -19). Factor -5*d**3 + 5*d + r - 27.
-5*d*(d - 1)*(d + 1)
Let i(d) be the third derivative of 0 - 1/510*d**5 - 57*d**2 + 0*d**3 + 1/1020*d**6 + 1/1785*d**7 + 0*d**4 - 1/2856*d**8 + 0*d. Suppose i(f) = 0. Calculate f.
-1, 0, 1
Let q(s) be the second derivative of -s**10/347760 + s**8/25760 - s**7/14490 + s**4/4 - s**2 - 53*s. Let f(k) be the third derivative of q(k). Factor f(j).
-2*j**2*(j - 1)**2*(j + 2)/23
Let m be ((8 - 9) + -1)/(44/(-33)). Factor 423/2*x**2 + m*x**4 - 39*x**3 + 294 + 546*x.
3*(x - 14)**2*(x + 1)**2/2
Let z(p) be the first derivative of p**6/3 + 16*p**5/5 + 19*p**4/2 + 16*p**3/3 - 20*p**2 - 32*p + 193. Determine s, given that z(s) = 0.
-4, -2, -1, 1
Let b be 2*((-9)/(-2) - 1). Suppose 171*l - 182 = 331. Factor 9*p**2 + 4*p - b*p - l*p.
3*p*(3*p - 2)
Let q(u) be the second derivative of u**4/3 - 16*u**3/3 - 168*u**2 + 7278*u. Factor q(f).
4*(f - 14)*(f + 6)
Let n(v) be the third derivative of -8*v**7/105 + 53*v**6/30 - 236*v**5/15 + 397*v**4/6 - 140*v**3 + 13*v**2 + v. Determine s so that n(s) = 0.
1, 2, 5, 21/4
Find y such that 899*y - 2888*y + 1924*y**2 + 996 - 934*y**2 + 3*y**3 = 0.
-332, 1
Let s(h) be the third derivative of h**5/30 - 65*h**4/12 + 244*h**3/3 + 3*h**2 + 76*h. Determine m, given that s(m) = 0.
4, 61
Let i be (2728/10)/((234/180)/(-13)). Let x = -2726 - i. What is m in -2/15*m**3 - 2/5*m**x - 4/15*m + 0 = 0?
-2, -1, 0
Let c(l) be the third derivative of 2*l**7/315 + 4*l**6/15 - 4*l**5/45 - 16*l**4/3 - 2*l**2 - 707*l + 3. Determine r so that c(r) = 0.
-24, -2, 0, 2
Let d(b) be the third derivative of -18/5*b**4 - 75*b**2 + 1/100*b**5 + 0*b + 0 + 2592/5*b**3. Factor d(k).
3*(k - 72)**2/5
Let g(i) be the third derivative of i**6/24 + 11*i**5/12 + 25*i**4/8 - 45*i**3/2 - 1385*i**2. Let g(o) = 0. Calculate o.
-9, -3, 1
Let d = 50713/3 - 16903. Let i(w) be the first derivative of -2/9*w**3 - d*w + 22 + w**2. What is z in i(z) = 0?
1, 2
Let x be (-10)/28*((-81)/90*-8 - 8). Let i(f) be the second derivative of -2*f + 1/70*f**5 + 0 + 2/21*f**4 + 5/21*f**3 + x*f**2. Let i(g) = 0. Calculate g.
-2, -1
Suppose -624/5*s**2 + 1344/5*s + 0 + 12*s**3 + 3/5*s**4 = 0. What is s?
-28, 0, 4
Let b(x) be the first derivative of 2*x**6/3 - 16*x**5/5 + 3*x**4 - 1086. Solve b(d) = 0.
0, 1, 3
Let y be (-40)/(-6)*(-42)/(-84). Let f(q) be the third derivative of -2/5*q**5 + y*q**3 + 0 + 1/6*q**4 + 0*q - 25*q**2. Suppose f(l) = 0. What is l?
-5/6, 1
Let m(c) be the first derivative of -121 + 209*c**2 - 62826*c + 5191*c**2 - 129*c**3 + 9*c**3 + c**4 - 45174*c. Determine a, given that m(a) = 0.
30
Let l(a) be the first derivative of -1/26*a**4 - 483/13*a**2 - 105 + 882/13*a + 86/39*a**3. Factor l(q).
-2*(q - 21)**2*(q - 1)/13
Let d(c) = 2*c**3 + 31*c**2 + 56*c - 113. Let s be d(-13). Find f such that 0 - 8/11*f - 10/11*f**3 - 16/11*f**2 - 2/11*f**s = 0.
-2, -1, 0
Let v = 334 - 335. Let b be 5*v - (-75)/15. Factor -1/2*d**3 + b + 1/6*d - 1/3*d**2.
-d*(d + 1)*(3*d - 1)/6
Find f, given that 13/3*f**3 - 1/6*f**4 - 34*f + 35/6*f**2 - 54 = 0.
-2, 3, 27
Suppose -4*k + 9 = -i, k + 41 - 38 = -5*i. Let u(g) be the third derivative of 1/280*g**6 - 11/210*g**5 + 0 - 2/21*g**4 + 24*g**k + 0*g**3 + 0*g. Factor u(n).
n*(n - 8)*(3*n + 2)/7
Let z(y) = -69*y + 491. Let w be z(7). Suppose -w*a + 42 = 13*a. Factor 0 - 2/3*r**3 + 0*r**a + 8/9*r + 2/9*r**4.
2*r*(r - 2)**2*(r + 1)/9
Let n(k) be the third derivative of 5*k**8/168 + k**7/6 + 3*k**6/8 + 5*k**5/12 + 5*k**4/24 + 382*k**2. Suppose n(t) = 0. Calculate t.
-1, -1/2, 0
Let d(m) be the third derivative of 44/15*m**5 + 4/15*m**6 + 0*m - 3 - 47/12*m**4 + 3*m**2 + 2*m**3. Factor d(a).
2*(a + 6)*(4*a - 1)**2
Let o(l) be the first derivative of 1/3*l**3 + 3/20*l**5 - 57 + 0*l + 0*l**2 - 1/2*l**4. What is n in o(n) = 0?
0, 2/3, 2
Let z(d) = 3*d**3 + d**2 - d. Let a be z(1). Suppose a*t - 17 - 10 = 0. Let -3 + 3 - 3*p**4 + 15*p**5 - t*p**5 + 3*p**2 - 6*p**3 = 0. What is p?
-1, 0, 1/2, 1
Find u such that 458*u - 45*u + 53*u + 234 - 750 + 4*u**2 + 46*u = 0.
-129, 1
Let w = -787/3 - -265. Let r be (9/(-6))/((-9)/24). Find v, given that -8/3*v**2 + 0 - 2*v + 4/3*v**3 + 2/3*v**5 + w*v**r = 0.
-3, -1, 0, 1
Let 338/15*w - 26/5*w**2 - 10/3*w**4 + 0 - 14*w**3 = 0. What is w?
-13/5, 0, 1
Determine x, given that -51/7 + 3/7*x**2 - 48/7*x = 0.
-1, 17
Let s(v) be the third derivative of -22/135*v**5 + 0*v**3 + 121/27*v**4 + 169*v**2 + 1/540*v**6 + 0*v + 0. Factor s(z).
2*z*(z - 22)**2/9
Let j(b) be the third derivative of -7/90*b**5 - 1/180*b**6 + 0 + 27*b**2 + 0*b + 17/36*b**4 - b**3. Factor j(f).
-2*(f - 1)**2*(f + 9)/3
Let 132/5*l + 448 - 