r v(n).
-n*(n - 1)**2*(n + 13)**2/4
Factor -4*p**2 + 9*p - 158 + 10*p + 9*p + 56*p - 282.
-4*(p - 11)*(p - 10)
Let t be (-2)/5 - (-368)/20. Suppose -5*g + 7 + t = 0. Factor 4*c**g - 5*c - 4*c**4 + 2*c**2 - 3*c - 12*c**3 + 23*c**2 - 5*c**2.
4*c*(c - 1)**3*(c + 2)
Suppose 5*y - 4 = -3*x, -2 = 3*x - 2*x. Suppose -2*t + 2 = -y. Factor -6 + 8*r + t*r**2 - 1 - 4*r**2 - 1.
-2*(r - 2)**2
Let g = 464 - 292. Let -128*v**2 + 110*v**4 - 172*v - 179*v**3 - 7*v**5 + g*v - 237*v**3 = 0. Calculate v.
-2/7, 0, 8
Let x be (-177 + 177)*3/(-15). Let d(k) be the third derivative of -2 - 1/24*k**5 + 1/24*k**4 + 0*k**3 + 7*k**2 - 1/80*k**6 + x*k. Find g such that d(g) = 0.
-2, 0, 1/3
Let -16/9*k**4 + 26/9*k + 4/9*k**2 - 8/3*k**3 - 2/9*k**5 + 4/3 = 0. Calculate k.
-6, -1, 1
Let y(m) be the first derivative of 51 + 2/63*m**3 - 1/3*m**2 + 0*m. Find v, given that y(v) = 0.
0, 7
Let a(z) = z**2 + 85*z + 1472. Let l be a(-24). Suppose -4*o - 5*s = -33, -o + 16 = -3*o + 4*s. Determine w so that -2*w + l - 3 + 5 + o - 4*w**2 = 0.
-2, 3/2
Let b(d) be the third derivative of d**8/420 + 22*d**7/525 + 41*d**6/150 + 49*d**5/75 - d**4 - 48*d**3/5 + d**2 - 8*d - 74. What is h in b(h) = 0?
-4, -3, -2, 1
Let j(v) = v**2 + 2*v - 18. Let a(t) = t**2 + 3*t - 19. Let f(d) = 4*a(d) - 3*j(d). Let s be f(-11). Solve 0*b**2 + 8*b - s*b + 2*b**2 + 3*b**2 + 20 = 0.
1, 4
Let z(j) be the second derivative of 0*j**2 + 1/45*j**5 + 0*j**3 - 84*j + 2/27*j**4 + 0 - 2/135*j**6. Let z(d) = 0. What is d?
-1, 0, 2
Suppose 1808 = 34*o + 1672. Let b(q) be the second derivative of 0 + 8/9*q**3 + 19/60*q**5 + 1/126*q**7 - 25/36*q**o - 7/90*q**6 - 6*q - 2/3*q**2. Factor b(c).
(c - 2)**2*(c - 1)**3/3
Factor 76/17*z - 42 - 2/17*z**2.
-2*(z - 21)*(z - 17)/17
Let 6712/5*u**2 + 336/5*u**3 + 7396/5 - 14448/5*u + 4/5*u**4 = 0. What is u?
-43, 1
Let p be 31*48/39 + (-4)/26. Let 12*v**3 + 6 + p*v**4 + 27*v**4 + 16*v**2 - 20*v + 8*v**5 - 87*v**4 = 0. Calculate v.
-1, 3/4, 1
Let g(p) be the first derivative of -5*p**4/4 - 470*p**3/3 - 900*p**2 - 3648. Factor g(y).
-5*y*(y + 4)*(y + 90)
Let r be (0 - (-609)/(-14)) + -8. Let l = r + 519/10. Determine j so that -l*j**5 + 4/5*j**2 - 4/5*j**4 + 0 + 0*j**3 + 2/5*j = 0.
-1, 0, 1
Suppose 4*x + 4 = -2*a, -2*x + 8*a - 14 = 3*a. Let p be (x - -4)*66/44. Factor -6*i**2 - 2/5*i**p - 50 - 30*i.
-2*(i + 5)**3/5
Factor -2/13*f**2 + 784/13 + 188/13*f.
-2*(f - 98)*(f + 4)/13
Suppose 295*c + 10216 = 299*c. Find q such that 2*q**2 + c - q - 2548 - 3*q**2 = 0.
-3, 2
Let r(i) be the second derivative of -218*i + i**3 - 1/4*i**4 + 0 + 12*i**2. Factor r(n).
-3*(n - 4)*(n + 2)
Let q = 110 + -108. Factor 73 - 2*m**4 - m**5 + m**3 + 2*m**q - 73.
-m**2*(m - 1)*(m + 1)*(m + 2)
Let x be (8/(-120))/((-116)/3480). Factor 9/5*k + 0 - 6/5*k**x - 3/5*k**3.
-3*k*(k - 1)*(k + 3)/5
Let b(j) be the first derivative of j**4/4 - 632*j**3 + 599136*j**2 - 252435968*j - 1380. What is y in b(y) = 0?
632
Determine s so that 4/5*s**2 - 5408/5*s + 1827904/5 = 0.
676
Let m be (18*(-7)/168)/((-40)/(-32) - 5). Find n such that -m*n**3 - 2 + 4/5*n**2 + 7/5*n = 0.
-2, 1, 5
Find g, given that -70*g - 141/2 + 1/2*g**2 = 0.
-1, 141
Let k = 41 + -7. Let p = k + -24. Let -p*y**4 - 16*y - 10*y**3 - 20*y**2 + 18*y**4 + 38*y**3 = 0. What is y?
-4, -1/2, 0, 1
What is d in -411830784/5 - 2232/5*d**2 - 1660608/5*d - 1/5*d**3 = 0?
-744
Suppose -762/11*r + 2/11*r**2 - 1532/11 = 0. What is r?
-2, 383
Let c = -145/7 - -34807/1680. Let a(z) be the third derivative of c*z**5 + 1/48*z**4 + 0 - 1/480*z**6 + 0*z**3 + 0*z - 5*z**2. Let a(h) = 0. Calculate h.
-1, 0, 2
Let y(m) be the first derivative of 4*m**5 + 0*m**4 + 5/6*m**6 + 30*m + 78 - 50/3*m**3 - 5/2*m**2. Find h, given that y(h) = 0.
-3, -2, -1, 1
Let j(i) be the first derivative of 5*i**3/12 + 25*i**2/4 - 30*i + 1624. Factor j(k).
5*(k - 2)*(k + 12)/4
Let v(c) be the third derivative of c**8/84 + 38*c**7/105 + 33*c**6/10 + 27*c**5/5 + 3519*c**2. Factor v(l).
4*l**2*(l + 1)*(l + 9)**2
Let s(a) be the second derivative of -8*a + 0*a**2 + 0*a**3 - 3 - 1/231*a**7 - 19/110*a**5 - 1/15*a**6 - 3/22*a**4. Factor s(r).
-2*r**2*(r + 1)**2*(r + 9)/11
Let p = -148183 + 148186. Factor -3/4*n**2 + 3/4*n**p - 15/4*n - 9/4.
3*(n - 3)*(n + 1)**2/4
Let y(k) be the first derivative of k**6/3 + 6*k**5/5 - 8*k**3/3 + 253. Suppose y(q) = 0. Calculate q.
-2, 0, 1
Let l be 2/(-3)*-3*(-2)/(-4). Let q be ((-1)/(-5))/(l*(-14)/(-252)). Let -14/5*s**2 - 4/5 - q*s = 0. Calculate s.
-1, -2/7
Let p(h) be the third derivative of 0 - 1/280*h**6 + 0*h**4 - 20*h + 2*h**2 + 0*h**3 + 3/140*h**5. Find m such that p(m) = 0.
0, 3
Factor -258*f + 197*f**2 - 3/2*f**3 - 260.
-(f - 130)*(f - 2)*(3*f + 2)/2
Let g = 1380 + -1380. Let r(z) be the third derivative of -1/336*z**8 + 0*z**5 + 5*z**2 + 0 + 0*z**3 + g*z + 0*z**4 + 1/120*z**6 + 0*z**7. Factor r(y).
-y**3*(y - 1)*(y + 1)
Find g such that -568*g**3 + 70*g**4 - 9048/7*g**2 + 2560/7 - 2176/7*g = 0.
-8/7, 2/5, 10
Let v = 28/5 - 5. Let t = 1278/2165 + 21/2165. Factor -3/5*u**3 + v*u - 3/5 + t*u**2.
-3*(u - 1)**2*(u + 1)/5
Let z(v) be the third derivative of 0*v - 1/30*v**5 + 0 - 28/3*v**3 + 69*v**2 + 29/12*v**4. Factor z(b).
-2*(b - 28)*(b - 1)
Let j(r) be the second derivative of 3/190*r**5 + 4/19*r**2 + 0 - 1/114*r**4 - 39*r - 4/19*r**3. Find m such that j(m) = 0.
-2, 1/3, 2
Determine i so that -5/4*i**3 - 55/4*i**2 - 40*i - 35 = 0.
-7, -2
Let o(d) = 112*d - 24. Let g be o(4). Suppose g - 3*x**2 - 943 + 280*x - 5571 - 10*x + 15 = 0. Calculate x.
45
Let s be (-92)/(-14) - (44982/49)/(-102). Factor -1/7*m**4 + s*m - 36/7 + 39/7*m**3 - 111/7*m**2.
-(m - 36)*(m - 1)**3/7
Suppose -25*y**3 - 78 - 453*y**2 - 29*y**3 + 940*y - 78 - 16*y**3 + 81*y**3 = 0. Calculate y.
2/11, 2, 39
Factor 310*q**2 - 2397*q**2 + 299*q**3 - 729*q**2 + 2*q**5 + 26*q**4 + 533*q**3 - 102*q**4.
2*q**2*(q - 22)*(q - 8)**2
Find w such that -1132/13*w - 160178/13 - 2/13*w**2 = 0.
-283
Let m(w) be the third derivative of -w**6/420 - 109*w**5/210 - 145*w**4/12 - 825*w**3/7 + 1800*w**2. Factor m(b).
-2*(b + 5)**2*(b + 99)/7
Factor -416/7*c + 2/7*c**2 + 0.
2*c*(c - 208)/7
Suppose -13*u = -20*u + 987. Solve 571*r + 317*r + r**3 + 3858*r + 1349*r + 103823 + 532*r + u*r**2 = 0 for r.
-47
Factor -225/7*j + 3/7*j**2 + 438/7.
3*(j - 73)*(j - 2)/7
Suppose -35*a**2 + 33*a - 12*a**2 - 275*a - 29*a**2 - 100*a - 2*a**3 - 396 = 0. What is a?
-33, -3, -2
Let c be ((-4 + 6)/(-4) - -1)*0. Suppose c*v - 12 = -4*v. Let -24*i**4 - 232*i**2 - 32 - 26*i**3 - 22*i**3 - 144*i - 12*i**4 - 108*i**v = 0. What is i?
-2, -1, -2/3
Suppose -385*k**3 - 630*k**2 - 683/2*k + 13/2*k**5 - 39 - 51*k**4 = 0. Calculate k.
-3, -1, -2/13, 13
Solve -219*p + 32 + 625*p - 224*p + 616*p + 718*p**2 - 48*p**3 = 0.
-1, -1/24, 16
Factor 45/2 - r**3 + 6*r - 7/2*r**2.
-(r + 3)**2*(2*r - 5)/2
Let d = 678 - 674. Solve -5*v**2 - 528*v + 138 + 465*v - 2*v**2 + d*v**2 = 0.
-23, 2
Let c be 23/(4945/(-301)) + 702/65*1/2. Suppose -4/7*l**c - 16/7*l**2 + 128/7 - 24/7*l**3 + 96/7*l = 0. Calculate l.
-4, -2, 2
Let f(w) be the second derivative of w**8/3360 + w**7/20 + 8*w**6/3 - 256*w**5/15 + 37*w**4/2 + 149*w. Let p(v) be the third derivative of f(v). Factor p(i).
2*(i - 1)*(i + 32)**2
Let k be 186/(-84) + 4 + (-34)/119. Let -3/2*j**4 + k*j**2 + 15/2*j**3 - 3/2*j**5 - 12*j + 6 = 0. Calculate j.
-2, 1
Let j = -709/5 + 143. Suppose -288*t + 295*t = 0. Determine y, given that 2/5*y + 4/5*y**2 - j*y**3 + t = 0.
-1/3, 0, 1
Let i be -3*((-40)/3 + 7). Find l, given that -31 - 148*l**2 + 23 + i*l + 22 + 152*l**2 - l**3 = 0.
-2, -1, 7
Let q(n) be the first derivative of 5/7*n**2 - 2/21*n**3 - 185 + 12/7*n. Factor q(d).
-2*(d - 6)*(d + 1)/7
Let t(q) be the second derivative of -4*q**3 - 2 - 35*q + 1/2*q**7 + 9*q**4 - 9/10*q**6 - 39/10*q**5 + 0*q**2. Suppose t(o) = 0. What is o?
-2, 0, 2/7, 1, 2
Let o(t) be the third derivative of -t**5/20 - 639*t**4/4 - 408321*t**3/2 - 2086*t**2. Factor o(s).
-3*(s + 639)**2
Let z(u) = 54*u**3 + 2030*u**2 + 2616*u + 871. Let d(s) = -72*s**3 - 2706*s**2 - 3488*s - 1161. Let c(b) = -7*d(b) - 9*z(b). Solve c(i) = 0 for i.
-36, -2/3
Let s(r) be the third derivative of r**6/40 - 3063*r**5/20 + 3127323*r**4/8 - 1064332261*r**3/2 - 3*r**2 - 14. Factor s(j).
3*(j - 1021)**3
Let a be 22/55*(4 - -1). What is z in z**5 + 1993*z**4 - 2009*z**4 + 42*z**3 