k**o + 7/10*k - 3/10 + 1/10*k**f.
(k - 3)*(k - 1)**2/10
Solve -27/4*a**4 - 3/2 + 13/4*a**3 + a**5 + 33/4*a**2 - 17/4*a = 0 for a.
-1, -1/4, 1, 6
Let l(b) be the third derivative of -b**7/105 + 2*b**6/15 - 13*b**5/30 + b**4/2 - 1036*b**2. Determine u so that l(u) = 0.
0, 1, 6
Let i(l) = 582*l - 1744. Let u be i(3). Let s(r) be the first derivative of -5 - 1/3*r**4 - 8/3*r**u + 0*r - 16/9*r**3. Find w such that s(w) = 0.
-2, 0
Let c(x) be the third derivative of -x**6/18 + 3*x**5/5 + 4*x**4/3 - 28*x**3/3 - 16*x**2. Let y(t) be the first derivative of c(t). Factor y(u).
-4*(u - 4)*(5*u + 2)
Suppose 0 = 24*f - 1067 - 4045. Let -9*a**2 - f*a - 6*a**2 + 193*a + 20 = 0. What is a?
-2, 2/3
Let c(i) be the third derivative of -i**6/24 - 13*i**5/6 - 115*i**4/24 + 125*i**3/3 + 5*i**2 - 55. Determine n so that c(n) = 0.
-25, -2, 1
Find c such that -2*c**3 + 3380*c**2 + 357560619 - 357560619 = 0.
0, 1690
Let k(z) be the first derivative of -15*z**5 - 1395*z**4/2 - 9189*z**3 - 15066*z**2 - 8748*z - 199. Suppose k(y) = 0. Calculate y.
-18, -3/5
Let d be ((1 - 1)/(-1))/(10/((-20)/(-6))). Let h(l) be the first derivative of 1/8*l**4 - 3/4*l**2 + 7 + l + d*l**3. Solve h(x) = 0.
-2, 1
Let y(w) be the second derivative of 7*w**5/6 - 97*w**4/2 + 790*w**3/9 + 16*w**2 + 4895*w. Let y(n) = 0. Calculate n.
-2/35, 1, 24
Suppose -59*p**4 - 576 + 2496*p + 2170135*p**2 - 406*p**3 - 2169611*p**2 + 19*p**4 + 18*p**5 = 0. Calculate p.
-3, 2/9, 4
Suppose 9*r = 13*r - x - 15, -9 = 2*r + 5*x. Solve -15*h - 20*h**2 + 35*h - 5*h**4 - 20*h**2 + 43*h**r - 18*h**3 = 0.
0, 1, 2
Let q = -98 - -158. Let b(l) be the second derivative of -q*l**5 + 16*l**2 + 27*l**5 + 28*l**5 + 24*l**3 - 16*l + 10*l**4. Determine f, given that b(f) = 0.
-2/5, 2
Let z be (-43)/15 + 1100/300. Factor 6/5*m**3 - z*m**2 + 0 - 2/5*m**5 + 0*m**4 + 0*m.
-2*m**2*(m - 1)**2*(m + 2)/5
Let w(b) be the second derivative of b**5/80 + 371*b**4/16 + 833*b**3/6 + 555*b**2/2 - 8802*b. Factor w(m).
(m + 1)*(m + 2)*(m + 1110)/4
Factor 0 + 3/4*y - 1/8*y**2 - 3/4*y**3 + 1/8*y**4.
y*(y - 6)*(y - 1)*(y + 1)/8
Let t be -4*(2 + 4 + (-56)/8). Factor -10 + 29 - 5 + t*q**3 - 14 + 64*q + 40*q**2.
4*q*(q + 2)*(q + 8)
Let t(m) = 18 - 54*m**2 - 3*m + 111*m**2 - 4 - 59*m**2. Let j(a) = 2*a**2 + 2*a - 12. Let r(n) = -3*j(n) - 2*t(n). Let r(h) = 0. Calculate h.
-2, 2
Let c = -368 + 372. Solve 8*p**4 - 12*p**2 + 0*p**2 - 345*p**3 + p**c + 12*p + 330*p**3 = 0 for p.
-1, 0, 2/3, 2
Let h(p) be the third derivative of -34*p**2 + 0*p - 1/60*p**5 - 961/6*p**3 + 2 + 31/12*p**4. Factor h(t).
-(t - 31)**2
Find g such that -91*g**2 - 73601 + 73001 - 12*g**3 - 285*g**2 - 803*g - 1121*g = 0.
-25, -6, -1/3
Let k(d) be the third derivative of d**8/840 + 2*d**7/525 - 7*d**6/150 + 4*d**5/75 + 13*d**4/60 - 2*d**3/3 + 898*d**2. Let k(t) = 0. Calculate t.
-5, -1, 1, 2
Let h = 9617 - 18845/2. Let l = -193 + h. Factor -l*p - 3/4 - 3/4*p**2.
-3*(p + 1)**2/4
Let d(i) be the first derivative of -12/5*i**5 + 1/3*i**6 - 4*i**3 + 0*i + 14 + 11/2*i**4 + 0*i**2. Factor d(b).
2*b**2*(b - 3)*(b - 2)*(b - 1)
Let q(n) be the second derivative of n**5/110 + 17*n**4/66 - 80*n**3/33 + 84*n**2/11 + 1615*n. Factor q(w).
2*(w - 2)**2*(w + 21)/11
Let a(v) be the first derivative of v**3 + 1 + 10/3*v**2 + 4/3*v. Factor a(n).
(n + 2)*(9*n + 2)/3
Let p(r) be the first derivative of r**5/20 + r**4/4 - r**3/6 - 3*r**2/2 + 35*r - 1. Let q(w) be the first derivative of p(w). What is a in q(a) = 0?
-3, -1, 1
Factor 375 + 30*q**3 + 31*q - 144*q**2 - 159 - 4*q + 39*q**3 - 23*q**3 - q**5.
-(q - 3)**3*(q + 1)*(q + 8)
Let z(y) be the second derivative of -y**4/54 - 2*y**3/3 + 7*y**2 - y - 6204. Find s, given that z(s) = 0.
-21, 3
Factor 871563/2 + 3/8*m**2 + 1617/2*m.
3*(m + 1078)**2/8
Suppose 24*r - 76 + 28 = 0. Factor l**3 + 3 - l - l**2 - 2*l**r + 2*l**2 - 2*l**2.
(l - 3)*(l - 1)*(l + 1)
Let t(s) be the first derivative of s**6/24 - s**5 + 29*s**4/8 + 23*s**3 - 315*s**2/8 + 6274. Determine a, given that t(a) = 0.
-3, 0, 1, 7, 15
Let s = 168 + -166. Factor -2*c**3 - 9*c**s - 3*c**3 + 5*c**4 + c**2 - 22*c**2.
5*c**2*(c - 3)*(c + 2)
Let w = -38 + 48. Let u = 22 - w. Determine p, given that -u*p**2 + 3*p - 3*p**4 + p - 12*p**3 - 4*p = 0.
-2, 0
Let w(x) be the first derivative of x**5/10 + x**4/8 - x**3/2 - x**2/4 + x - 701. Determine u so that w(u) = 0.
-2, -1, 1
Let b = 4 - -22. Suppose -9*u + 46 = -b. Solve -3*c**3 - u*c - 2*c**4 + 0*c**4 + 9*c**3 = 0 for c.
-1, 0, 2
Let t(b) be the second derivative of 0*b**2 - 1/14*b**4 + b + 0*b**3 - 2 - 1/14*b**6 - 33/140*b**5. Factor t(h).
-3*h**2*(h + 2)*(5*h + 1)/7
Let k(w) = -2*w + 1. Suppose 0 = -5*r - 0*r - a, 2*r + 3*a = 13. Let j(x) = -x**2 - 14*x - 5. Let q(f) = r*j(f) + 4*k(f). Solve q(n) = 0 for n.
-3
Let g(v) be the second derivative of -v**5/60 - 19*v**4/36 + 157*v**3/18 + 175*v**2/6 - 260*v. Suppose g(x) = 0. What is x?
-25, -1, 7
Let y = 204 + -204. Let u(n) be the second derivative of 0*n**3 + 0*n**2 - 3/4*n**5 + y + 5/12*n**4 - 3*n. Factor u(l).
-5*l**2*(3*l - 1)
Suppose -q - 347 = -4*u, 29 + 10 = 3*q. Determine c so that 8/3*c**3 + 578/3 - u*c**2 + 748*c = 0.
-1/4, 17
Let p(r) be the first derivative of 10*r**6/3 - 112*r**5/5 + 45*r**4 - 24*r**3 - 176. Determine w, given that p(w) = 0.
0, 3/5, 2, 3
Let w(m) be the second derivative of -63*m**6/40 + 111*m**5/40 + 117*m**4/16 - 3*m**3 - 3*m**2/2 + m + 684. Solve w(n) = 0 for n.
-1, -1/9, 2/7, 2
Let j(k) be the first derivative of 2*k**3/15 + 12*k**2 + 360*k + 2172. Find f, given that j(f) = 0.
-30
Suppose -32*n - 13 = -77. Factor -216*m**n - 5*m**3 + 78*m**2 - 10*m - 10*m**4 + 86*m**2 + 77*m**2.
-5*m*(m - 1)*(m + 2)*(2*m - 1)
Determine q, given that 20*q + 296/7 - 4/7*q**2 = 0.
-2, 37
Let o(q) = 7*q**2 - 435*q + 844. Let k be o(2). Factor 12/5*t + 2/5*t**2 + k.
2*(t + 1)*(t + 5)/5
Find c such that 97559 + 2*c**2 + 871273 - 724941*c + 727725*c = 0.
-696
Let h = 75140 + -75136. Determine m, given that 0 + 1/4*m**h + 0*m - 1/2*m**2 + 1/4*m**3 = 0.
-2, 0, 1
Factor -2*a**2 + 202/5*a - 8.
-2*(a - 20)*(5*a - 1)/5
Let o(r) be the third derivative of -r**6/15 + 11*r**5/15 + 115*r**4/3 + 224*r**3/3 + 31*r**2. Determine v, given that o(v) = 0.
-8, -1/2, 14
Let u(v) be the second derivative of v**5/4 - 5*v**4/3 - 955*v**3/6 - 1275*v**2 - 38*v + 77. Solve u(h) = 0 for h.
-10, -3, 17
Suppose -12*m = m. Let o be -9 - 24/32*-16. Factor 0 + 0*t**2 - 2/5*t**4 + m*t**o + 0*t + 2/15*t**5.
2*t**4*(t - 3)/15
Let u(w) be the first derivative of 0*w**2 + 91 - 5/3*w**3 + 5*w. Factor u(n).
-5*(n - 1)*(n + 1)
Let x(a) = 7*a**2 + 2. Let t(l) = -l**3 - 5*l**2 + 5*l + 1. Let k be t(-6). Let z(g) = -74 + 41 - 22*g**2 + 26. Let v(b) = k*x(b) + 2*z(b). Factor v(h).
5*h**2
Let f(k) be the first derivative of -10*k + 25/2*k**2 + 99 - 10/3*k**3. Find h, given that f(h) = 0.
1/2, 2
Let i(c) be the third derivative of 5/24*c**4 + 164*c**2 + 0*c + 0 - 1/6*c**5 - 1/24*c**6 + 5/3*c**3. What is f in i(f) = 0?
-2, -1, 1
Let q(z) be the first derivative of -40*z**2 + 0*z + 2*z**6 - 129 + 35*z**4 + 208/3*z**3 - 136/5*z**5. Solve q(a) = 0.
-1, 0, 1/3, 2, 10
Let q be -6*(-4)/(-6) - 3*-3. Suppose 4*t = o - 20, -3*o + 2*t = -q*o. Factor 43*z**o + 12*z**3 + 6*z - 16*z**4 - 9*z**4 - 15*z**4 + 15*z**2.
3*z*(z + 1)**2*(z + 2)
Let v = -331 - -340. Determine s, given that -v*s**4 - 5*s**2 - 5*s + 5*s**3 - 10*s**4 + 12*s**4 + 12*s**4 = 0.
-1, 0, 1
Let c(i) = 19*i**2 + 1432*i + 556510. Let d(a) = 3*a**2 - 10*a - 1. Let o(x) = -c(x) + 6*d(x). Factor o(v).
-(v + 746)**2
Let j(d) be the second derivative of d**4/18 + 58*d**3/3 + 2523*d**2 - 536*d. Factor j(k).
2*(k + 87)**2/3
Let o(k) be the first derivative of k**7/210 + k**6/150 - 3*k**5/50 - k**4/15 + 4*k**3/15 - 59*k + 31. Let g(z) be the first derivative of o(z). Factor g(m).
m*(m - 2)*(m - 1)*(m + 2)**2/5
Let i(o) be the first derivative of 90 - 81/5*o**2 - 1/10*o**4 + 0*o + 12/5*o**3. Factor i(d).
-2*d*(d - 9)**2/5
Let r(b) be the second derivative of 13/24*b**3 + 1 - 1/4*b**4 - 1/80*b**5 + 4*b + 0*b**2. Factor r(h).
-h*(h - 1)*(h + 13)/4
Find k such that -3/4*k**3 + 1/4*k**4 + 0*k + 0 + 1/2*k**2 = 0.
0, 1, 2
Let g(q) be the first derivative of 2*q**3/27 + 329*q**2/9 + 656*q/9 - 6078. Factor g(l).
2*(l + 1)*(l + 328)/9
Let m be -2*(-9)/(-18) + 216/56. Let 1/7*w**2 + m*w + 100/7 = 0. Cal