v**2 + 3/2 + 3/4*v**5 + 9/2*v**4 + o*v**3.
3*(v + 1)**4*(v + 2)/4
Let c(o) be the third derivative of -o**8/1680 + o**7/420 - o**5/60 + o**4/24 - 35*o**3/2 + 2*o**2. Let x(b) be the first derivative of c(b). Factor x(m).
-(m - 1)**3*(m + 1)
Let t(n) be the second derivative of n**4/18 - 7*n**3/3 + 110*n**2/3 - 4*n - 114. Find h, given that t(h) = 0.
10, 11
Let a(v) be the second derivative of v**7/84 - v**6/8 + v**5/40 + 11*v**4/16 + 7*v**3/12 - v - 1194. What is c in a(c) = 0?
-1, -1/2, 0, 2, 7
Suppose 4420 = 7*n - 2097. Determine z so that -14*z**4 + 10*z**4 + 8*z**3 + n*z**2 - 935*z**2 = 0.
0, 1
Let k be 4/10 + 108/(-45) - -6. Suppose k*s - 3*s + 2 = -g, s + 14 = -4*g. Determine w so that -2*w + 6*w - w**s - 3*w + 6 = 0.
-2, 3
Suppose -41*m = -38*m - 24. Factor p**2 - 22*p - 7*p + 324 + p - m*p.
(p - 18)**2
Let o(r) be the second derivative of r**7/63 - 26*r**6/45 + 229*r**5/30 - 130*r**4/3 + 100*r**3 - 1241*r. Let o(f) = 0. Calculate f.
0, 3, 10
Let -1126/15*c**2 - 2/3*c**4 + 2/15*c**5 - 1096/15*c - 134/5*c**3 - 24 = 0. Calculate c.
-10, -1, 18
Let m(x) be the first derivative of -2*x**5/25 - 7*x**4/2 - 2167. Determine i so that m(i) = 0.
-35, 0
Let h(q) be the second derivative of q**5/140 - q**4/14 - 3*q**3/14 + 27*q**2/7 - 263*q + 2. Suppose h(y) = 0. What is y?
-3, 3, 6
Let p be (-2)/(-5) + (-9)/((-315)/(-13874)). Let y = 399 + p. What is w in 36/5*w**y - 21/5*w + 21/5*w**2 - 6/5 = 0?
-1, -1/4, 2/3
Factor 50*i**3 - 7*i**2 - 40 - 52*i**3 - 20*i + 76*i - 7*i**2.
-2*(i - 2)*(i - 1)*(i + 10)
Let y = -840 + 11763/14. Let i(z) be the second derivative of 1/28*z**4 - 9*z + 0 - y*z**3 + 0*z**2. Determine s, given that i(s) = 0.
0, 3
Determine o so that 2130*o - 434 - 1610 + 1060 + 2302*o - 18*o**2 = 0.
2/9, 246
Let j(w) = -3*w**2 - 18*w + 89. Let a(p) = 4*p**2 + 28*p - 90. Let t(u) = 4*a(u) + 5*j(u). Determine n, given that t(n) = 0.
-17, -5
Let z(n) be the third derivative of -n**10/680400 + n**9/54432 + n**5/30 - n**3/3 - 44*n**2. Let p(i) be the third derivative of z(i). Factor p(g).
-2*g**3*(g - 5)/9
Suppose -q = 5*s - 226, 3*s - 8*s - 422 = -2*q. Let d be (-54)/q + 9/4. Factor 0*p + 0 - d*p**3 - 2/3*p**5 + 2/3*p**2 + 2*p**4.
-2*p**2*(p - 1)**3/3
Determine m, given that -m + 44 - m**4 - 104*m**3 - 7 + 37*m - 126*m**2 - 5*m**4 + 27 = 0.
-16, -1, 2/3
Solve -14/3*g**4 + 0 + 5/3*g**5 - 7*g - 130/3*g**2 - 128/3*g**3 = 0.
-3, -1, -1/5, 0, 7
What is j in 12 + 45*j**3 - 80*j**2 + 66*j - 44 + 26*j**4 + j**5 - 262*j - 64 = 0?
-24, -2, -1, 2
Suppose 0 = -215*o + 425 + 2585. Let a(g) be the first derivative of -4/15*g**3 - 2*g**2 + o - 16/5*g. Solve a(d) = 0.
-4, -1
Suppose -2555 = 43*t - 36*t. Let u be t/65 + (-21)/(-3). Factor 64/13*x**3 + 2/13*x**5 + u*x**4 + 32/13 + 112/13*x**2 + 96/13*x.
2*(x + 1)*(x + 2)**4/13
Let h be ((-5)/30)/((-208)/5616). Determine z, given that 9/2*z**4 - 6 + h*z + 51/2*z**3 + 63/2*z**2 = 0.
-4, -1, 1/3
Let h(f) be the first derivative of f**4/54 + 19*f**3/27 + 2*f**2 + 11*f + 35. Let y(c) be the first derivative of h(c). Determine a so that y(a) = 0.
-18, -1
Let i be (-21)/(-6)*(-11 - -7). Let y be i/(-12) + 9*6/324. Find b such that 0 + 0*b - 2/3*b**2 - y*b**4 - 1/3*b**5 - 5/3*b**3 = 0.
-2, -1, 0
Let k be (0 - (-3195)/(-33)) + (-20)/110. Let a = k + 99. Suppose 6/5*o - 2/5*o**a + 8/5 = 0. Calculate o.
-1, 4
Let x(v) be the first derivative of -2*v**3/21 - 96*v**2/7 - 558*v/7 - 679. Factor x(a).
-2*(a + 3)*(a + 93)/7
Factor -453*t - 8*t**3 + 198*t - 48*t**2 + 3*t**4 + 128 + t**4 + 287*t.
4*(t - 4)*(t - 2)*(t + 2)**2
Let s(j) = -2*j**3 + 13*j**2 - 61*j + 41. Let l(b) = -3*b**3 + 11*b**2 - 60*b + 40. Let k(t) = 3*l(t) - 4*s(t). Solve k(n) = 0.
-22, 1, 2
Let u(l) = -8*l**2 - 424*l + 432. Let z(m) = -3*m**2 - 142*m + 145. Let p(k) = 4*u(k) - 11*z(k). Factor p(q).
(q - 133)*(q - 1)
Let k(j) be the second derivative of j**9/52920 - j**8/3360 - 2*j**7/2205 - 9*j**4/4 + j - 40. Let f(z) be the third derivative of k(z). Solve f(i) = 0.
-1, 0, 8
Suppose -14*j + 49 = -21. Factor -46*b**5 + 96*b**5 + 1440*b**3 - 6656*b**2 - 94*b**4 - 2945*b - 5247*b - 48*b**j.
2*b*(b - 16)**3*(b + 1)
Find v such that -7/2*v + v**2 - 7/4*v**4 + 3/4 - v**5 + 9/2*v**3 = 0.
-3, -1, 1/4, 1
Let a(r) be the second derivative of 4/5*r**6 - 4/3*r**3 + 11/10*r**5 - 2*r**4 - 227*r + 0*r**2 + 2 - 1/3*r**7. What is q in a(q) = 0?
-1, -2/7, 0, 1, 2
Let o(b) = 11*b**2 + 73*b - 16. Let l be o(-7). Factor -14*v**2 - 4*v**4 + 0*v**3 - l*v**3 + v + 4*v**5 + v**3 - 8*v**3 - 4*v.
v*(v - 3)*(v + 1)*(2*v + 1)**2
Suppose -840 - 150 = -18*p. Factor -p*c + 1 + 23 + 10*c - 15*c**2 - 9*c.
-3*(c + 4)*(5*c - 2)
Determine c, given that 127*c - 37*c + 12*c**5 + 85*c**4 + 427*c**2 - 23*c**5 + 16*c**5 - 512*c**2 - 95*c**3 = 0.
-18, -1, 0, 1
Let m(k) be the third derivative of -k**6/480 + k**5/40 + k**4/6 - k**2 - 51*k. Factor m(c).
-c*(c - 8)*(c + 2)/4
Let w(v) be the first derivative of v**5/3 - 173*v**4/12 - 260*v**3/9 + 142*v**2/3 + 48*v - 1528. Determine k, given that w(k) = 0.
-2, -2/5, 1, 36
Determine i so that -5237*i**3 - 50*i + 35*i**2 + 2619*i**3 + 2623*i**3 - 80 = 0.
-8, -1, 2
Let n = 457148 - 2285353/5. Factor n*p - 12/5*p**2 - 96/5.
-3*(p - 32)*(4*p - 1)/5
Let u(c) be the second derivative of -1/12*c**4 + 1/6*c**3 + 0 + 1/2*c**2 - 23*c. Let n(p) = -4*p**3 - 12*p**2 + 8*p + 8. Let o(a) = n(a) - 8*u(a). Factor o(j).
-4*j**2*(j + 1)
Let v(w) = -13*w**2 - 418*w - 62. Let u be v(-32). Let c(z) be the first derivative of 10 + 1/4*z**3 + 0*z**u + 3/20*z**5 + 0*z + 3/8*z**4. Factor c(f).
3*f**2*(f + 1)**2/4
Let a(s) be the first derivative of 3*s**4/10 - 148*s**3/5 - 272. Suppose a(d) = 0. Calculate d.
0, 74
Find k such that -80/7*k + 52 + 4/7*k**2 = 0.
7, 13
Suppose 532*b**2 + 2/3*b**4 + 530/3 + 536/3*b**3 + 1592/3*b = 0. Calculate b.
-265, -1
Let u(h) be the third derivative of h**6/660 - 62*h**5/165 - 35*h**4/12 + 508*h**3/33 + 7179*h**2. Determine b so that u(b) = 0.
-4, 1, 127
Let r(c) be the first derivative of 3*c**5/5 - 135*c**4/4 - 191*c**3 - 729*c**2/2 - 294*c - 1416. Factor r(u).
3*(u - 49)*(u + 1)**2*(u + 2)
Let l(g) be the third derivative of -56*g**2 - 18/55*g**6 + 0*g + 84/55*g**5 - 8/3*g**4 - 9/385*g**7 + 80/33*g**3 + 0. Factor l(k).
-2*(k + 10)*(3*k - 2)**3/11
Factor 1752464*i - 118964*i + 4950*i**2 + 14354*i**3 - 14349*i**3 + 179685000.
5*(i + 330)**3
Let r = 13593 + -13591. Let p(o) be the first derivative of 1/4*o**r + 36 - 1/6*o**3 + o. Factor p(t).
-(t - 2)*(t + 1)/2
What is y in 197 + 235 - 8*y**3 - 444 - y**4 - 23*y**2 - 37*y + 9*y = 0?
-3, -2, -1
Suppose 158 - 610 = -4*k. Let j = k - 67. What is q in -12*q**3 - 28*q**2 + 8*q**4 + j*q**2 - 6*q**4 = 0?
0, 3
Let s(r) be the second derivative of -r**3/2 - 28*r**2 - 13*r - 3. Let d be s(-20). Solve 0 - 1/3*b**d - 2/3*b**2 + b**3 + 0*b = 0 for b.
0, 1, 2
Solve 152*q**3 + 0*q + 4/5*q**4 + 756/5*q**2 + 0 = 0 for q.
-189, -1, 0
Factor -2/15*x**2 - 518/5 - 236/15*x.
-2*(x + 7)*(x + 111)/15
Solve -2*m**3 - 30*m - 46/3*m**2 - 50/3 = 0 for m.
-5, -5/3, -1
Let w be (-3)/6*(-5)/4*8. Let u(i) be the second derivative of 0*i**3 - 1 + 0*i**2 + 1/270*i**6 - 1/180*i**w + 21*i - 1/54*i**4. Let u(r) = 0. Calculate r.
-1, 0, 2
Factor -1562*o**3 + 8*o - 1545*o**3 + 8*o**2 + 4668*o**3 - 1563*o**3 - 2*o**4.
-2*o*(o - 2)*(o + 1)*(o + 2)
Suppose -7*a = 10*a - 34. Factor 34*t**2 - 57*t**a + 25*t**2 + 22*t.
2*t*(t + 11)
Let u be 20/(-50)*1*-5. Suppose 0 = u*o - 3*n + 2, -20 = -5*n - 0. Factor 4*l**o + 2*l**3 + 3*l**5 + 16 + 0*l**2 - 5*l**5 + 8*l**4 - 8*l - 20*l**2.
2*(l - 1)**2*(l + 2)**3
Let j(o) be the third derivative of -o**5/15 + 43*o**4/2 + 260*o**3/3 - 4*o**2 + 84. Factor j(v).
-4*(v - 130)*(v + 1)
Let x(m) be the second derivative of 0 - 1/4*m**5 + 5/4*m**4 + 0*m**2 + 10/3*m**3 + 68*m. Let x(o) = 0. What is o?
-1, 0, 4
Let m = 25715 + -25709. Let k(d) be the second derivative of -1/4*d**5 - 1/24*d**m - 5/8*d**4 - 5/6*d**3 + 34*d - 5/8*d**2 + 0. Solve k(q) = 0.
-1
Suppose 9*b - 57 = 24. Let 4*p**2 + 36 + 6*p**4 - 18*p**4 - 12*p**3 - b*p - 2*p**5 + 87*p + 36*p**2 = 0. What is p?
-3, -1, 2
Let w be ((-2709)/(-270) - 7) + -5. Let g = -22/15 - w. Factor 3/4*f**2 - 1/4*f - g.
(f - 1)*(3*f + 2)/4
Suppose 45 = 5*i - 5*c, 10 = 6*i - i + 2*c. Let d be (2/i)/(5/50). Factor d*o**2 - 5*o - o**4 - 35*o**3 - 4*o**4 + 40*o**3.
-5*o*(o -