/3*v**t - 50/3 + 20/3*v = 0?
5
Let g(t) = -213*t - 9. Let h be g(1). Let j = 891/4 + h. Let j - 15/4*z + 21/4*z**2 - 9/4*z**3 = 0. Calculate z.
1/3, 1
Let n be ((-8)/2)/(16/36 + (-410)/369). Let q(s) be the second derivative of 7/120*s**n + 0 + 2*s**2 + 10/3*s**3 + 10*s + 2*s**4 + 11/20*s**5. Factor q(u).
(u + 2)**3*(7*u + 2)/4
Let q(c) be the first derivative of -c**6/45 + 2*c**5/15 + 17*c**4/30 - 14*c**3/15 + 3771. Solve q(m) = 0 for m.
-3, 0, 1, 7
Suppose 3*o + 38 = -x, 2*o - 67 - 9 = 2*x. Let l be 3/(9/206)*(-57)/x. Factor -32 - 30*y**2 + l*y**3 - 45*y**3 - 53*y**3 + 55*y + 2.
5*(y - 3)*(y - 2)*(y - 1)
Let g(d) be the first derivative of d**6/9 + 5*d**5/6 + 13*d**4/12 + 5*d**3/18 - 798. Solve g(r) = 0 for r.
-5, -1, -1/4, 0
Suppose 12*s + 15 = 3. Let y be 2 - (-1)/s - (-95)/(-114). Factor -y + 1/6*o - 1/6*o**3 + 1/6*o**2.
-(o - 1)**2*(o + 1)/6
Let c(f) be the third derivative of 2*f**6/75 - 3*f**5/25 - 5*f**4/6 - 8*f**3/5 + 108*f**2 - f. Factor c(y).
4*(y - 4)*(y + 1)*(4*y + 3)/5
What is s in -20/9*s - 64/9 + 20/9*s**3 + 1/9*s**4 + 7*s**2 = 0?
-16, -4, -1, 1
Let g(m) be the first derivative of -m**6/51 + 16*m**5/5 - 2379*m**4/17 + 1072*m**3/3 - 4489*m**2/17 - 1009. Factor g(u).
-2*u*(u - 67)**2*(u - 1)**2/17
Let u(s) be the second derivative of s**7/42 + 9*s**6/10 + 59*s**5/10 + 15*s**4 + 44*s**3/3 - 336*s - 2. Factor u(m).
m*(m + 1)*(m + 2)**2*(m + 22)
Let a = -3828 + 3833. Let d(o) be the second derivative of -14*o + 1/12*o**4 + 0*o**3 + 0*o**2 + 1/80*o**a + 0. Solve d(h) = 0.
-4, 0
Factor -157*w**3 - 33*w**2 - 34*w**2 + 10*w + 18*w**4 - 195*w**2 + 300 + 91*w**3.
2*(w - 6)*(w - 1)*(3*w + 5)**2
Let r be (-1)/(-16) - 6768/(-2304). Let c be (3/(-14))/(12/(-16)). Let 0*n**2 + 0 + c*n**r - 1/7*n**5 - 1/7*n**4 + 0*n = 0. Calculate n.
-2, 0, 1
Solve -67*w - 69*w - 77*w - 22*w**3 + w**4 + w**4 + 221*w + 48*w**2 - 64 = 0 for w.
-1, 2, 8
Solve 104907 + 1399*z - 1141*z + 3*z**2 - 732*z - 648*z = 0.
187
Suppose -65*x - 95 + 420 = 0. Let h(n) be the first derivative of -4/7*n**3 + 4/7*n**4 + 16/7*n - 4/35*n**x - 8/7*n**2 - 5. Determine d so that h(d) = 0.
-1, 1, 2
Let r = -66077/78 - -11067/13. Factor -r*g**4 + 55/3*g**3 - 181/6*g**2 + 22*g - 6.
-(g - 1)**2*(5*g - 6)**2/6
Suppose -t - 1 = -5. Suppose 4*s + 5*b = t*b + 11, -3*b = s - 11. Solve 0*j**2 - 10*j - 5*j**s + 0*j**2 + 0*j**2 = 0 for j.
-2, 0
Let g(w) be the second derivative of -5*w**7/126 + 68*w**6/3 + 823*w**5/12 - 3065*w**4/18 - 1370*w**3/3 + 4100*w**2/3 - 1410*w. Let g(d) = 0. What is d?
-2, 1, 410
Let o(w) be the third derivative of 0*w + 59 + 11/24*w**4 - 53/180*w**5 + 2*w**2 + 1/20*w**6 + 1/9*w**3. Suppose o(p) = 0. Calculate p.
-1/18, 1, 2
Suppose 0 = 2*q - 4*n - 54, 8*q + 3*n = 6*q + 33. Suppose -144*r + 144*r - 24*r**2 + 78*r**3 + q*r**4 = 0. What is r?
-4, 0, 2/7
Factor -653*d - 1761*d + 2*d**3 + 87*d**2 + 170*d + 655*d**2.
2*d*(d - 3)*(d + 374)
Let n(t) = -11*t**3 + 25*t**2 + 48*t - 182. Let x(y) = 16*y**3 - 38*y**2 - 72*y + 262. Let b(d) = 7*n(d) + 5*x(d). Let b(v) = 0. Calculate v.
-2, 1, 6
Let y(c) be the second derivative of 2*c**6/15 + 53*c**5/5 + 502*c**4/3 + 1152*c**3 + 4032*c**2 - 2645*c. Determine q, given that y(q) = 0.
-42, -4, -3
Let p(f) be the first derivative of f**4/2 - 2170*f**3 + 3531675*f**2 - 2554578250*f - 521. Factor p(m).
2*(m - 1085)**3
Let b(o) be the second derivative of 105/4*o**2 + 0 - 1/2*o**3 + 79*o - 1/8*o**4. Factor b(x).
-3*(x - 5)*(x + 7)/2
Let x be (-259)/21 + -16 - -36. What is i in 8 + x*i - 1/3*i**2 = 0?
-1, 24
Factor -2*l + 2*l + 7*l**2 + 13*l - 30 + l**2 - 7*l**2.
(l - 2)*(l + 15)
Factor -2/3*p**2 + 28/3*p - 32.
-2*(p - 8)*(p - 6)/3
Suppose -2*a + 4*n + 3 = 3*n, -2*n + 21 = 5*a. Suppose 0 = 4*p - a*m - 83, 3*m + 59 = 2*p - 2*m. Factor -24*j**2 - p*j + 7*j - 7*j - 32 - 4*j**3 - 31*j.
-4*(j + 2)**3
Factor 0 + 2/9*v**4 - 92/9*v**3 - 94/9*v**2 + 0*v.
2*v**2*(v - 47)*(v + 1)/9
Let s(i) = 3*i**2 - 89*i - 92. Let j(y) = 8*y**2 - 268*y - 276. Let n(l) = 5*j(l) - 14*s(l). Find b such that n(b) = 0.
-46, -1
Let q(a) = 3*a**4 - 33*a**3 + 131*a**2 - 163*a + 62. Let f(s) = -s**4 - s**3 - s**2 + 3*s. Let x(m) = -2*f(m) - q(m). Suppose x(b) = 0. What is b?
1, 2, 31
Suppose -24*p + 24 = -18*p. Let -1139 + 6789*g - 157*g**3 + 4203*g**2 + 99*g - 170*g**3 + 6*g**p + 3491 = 0. Calculate g.
-1, -1/2, 28
Let d = -6193 + 6199. Let j(h) = 7*h. Let w be j(1). Let y(n) = n**2 - n + 6. Let k(m) = -2*m**2 + 2*m - 7. Let b(l) = d*k(l) + w*y(l). Let b(p) = 0. What is p?
0, 1
Factor 0*h - 1553/3*h**3 + 3112/3*h**4 + 0 - 16/3*h**5 + 194/3*h**2.
-h**2*(h - 194)*(4*h - 1)**2/3
Let y be (-498)/(-415)*(-65)/(-39). Factor -2/17*w**y + 22/17 - 20/17*w.
-2*(w - 1)*(w + 11)/17
Solve 0 - 72/5*r - 2476/5*r**4 - 1176/5*r**2 + 4318/5*r**3 + 78*r**5 = 0.
-2/39, 0, 2/5, 3
Let g(v) be the first derivative of 57 - v**3 + 15/2*v**2 - 12*v. Factor g(b).
-3*(b - 4)*(b - 1)
Determine c so that -144 + 2*c**3 - 28*c**2 + 207*c**2 + 68*c - 21*c**2 - 84*c**2 = 0.
-36, -2, 1
Let u be (1 + -2)/(16/(-48)). Factor 236*h - 3*h**3 - u*h**2 + 233*h + 3 - 466*h.
-3*(h - 1)*(h + 1)**2
Suppose k - 259 = 4*x - 2*x, 0 = -k - 2*x + 287. Determine d, given that k*d**2 + 7 - 149/2*d - 24*d**5 - 803/2*d**3 + 220*d**4 = 0.
1/4, 2/3, 1, 7
Let y be (-87)/(-30) - (-8)/80. Let n(o) be the first derivative of 1/4*o**4 + o - 1/3*o**y - 1/2*o**2 + 16. Factor n(m).
(m - 1)**2*(m + 1)
Let x(k) be the first derivative of 1/60*k**5 + 0*k + 20*k**2 - 6 - 1/3*k**3 + 1/24*k**4. Let p(n) be the second derivative of x(n). What is w in p(w) = 0?
-2, 1
Suppose -y**3 + 3194 - 1732*y + 115 - 1748*y - 119*y**2 + 291 = 0. What is y?
-60, 1
Let u(h) = -3 - 2*h - 2*h - h**2 + 5 - h. Let j be u(-4). Factor j*i**2 + 0*i**2 - 10*i - 4*i**2.
2*i*(i - 5)
Let v(g) = g**3 + 19*g**2 + 33*g - 31. Let p be v(-15). Factor -50 - 48*u**2 + 88*u + 160 + 52*u**2 + p.
4*(u + 11)**2
Factor -205406*t - 2*t**2 - 2715727 - 2194678 + 215316*t + 0*t**2 - 3*t**2.
-5*(t - 991)**2
Factor -315*v - 69 - 183 - 60 - 4*v**2 + v**2.
-3*(v + 1)*(v + 104)
Let u be (-30 + -30)/((-575)/90). Suppose -246/23*y + 30/23*y**5 - 176/23*y**4 - 36/23 + u*y**3 + 212/23*y**2 = 0. What is y?
-1, -2/15, 1, 3
Let g = 7279 + -23254/3. Let i = g + 474. Let -i*x**3 + 0 - x + 7/3*x**2 + 1/3*x**4 = 0. What is x?
0, 1, 3
Factor 16*j**3 + 310*j**2 - 46*j - 29*j**3 + 300 - 559*j + 8*j**3.
-5*(j - 60)*(j - 1)**2
Solve 1292*z**2 - 12728 - 1095*z + 24586 - z**3 - 1048*z - 2*z**3 - 12716 = 0.
-1/3, 2, 429
Let v(r) be the third derivative of -r**6/480 + 7*r**5/30 + 29*r**4/24 - 2385*r**2. Factor v(s).
-s*(s - 58)*(s + 2)/4
Suppose 75*q - 455008544 = 59*q. Factor 7934909 - 60750*k**2 + 1341588*k + 900*k**3 - 5*k**4 - q + 480912*k.
-5*(k - 45)**4
Let k(t) be the first derivative of t**6/3 - 7*t**4/2 + 4*t**3 - 1043. Factor k(j).
2*j**2*(j - 2)*(j - 1)*(j + 3)
Determine f, given that -1/4*f + 129/2 + 1/4*f**3 - 129/2*f**2 = 0.
-1, 1, 258
Suppose 0 = -10*a + 76 + 74. Suppose 6*w - a = w. Solve -12*u**2 + 6*u**2 - 5*u + 3*u**w - 16*u - 12 = 0.
-1, 4
Let r = -823/62 + 458/31. Let q(v) be the second derivative of -r*v**2 - 13/8*v**4 - 28*v - 3/10*v**5 + 0 - 11/4*v**3. Factor q(g).
-3*(g + 1)*(g + 2)*(4*g + 1)/2
Let a be (851/(-69) - -13)*(-9)/(-3). Let n(s) be the first derivative of 23 - 4/21*s**3 - 4/35*s**5 + 8/7*s + 3/7*s**4 - 6/7*s**a. Solve n(i) = 0.
-1, 1, 2
Suppose 5*b - 29 = 3*k, -8747*k - 25 = 2*b - 8736*k. Solve 2/17*q**5 + 1520/17*q**2 + 642/17*q**3 - 76/17*q**b + 0 + 800/17*q = 0.
-1, 0, 20
Let d(p) be the first derivative of 5*p**6/27 + 116*p**5/45 - 329*p**4/18 + 724*p**3/27 - 32*p**2/3 + 671. Let d(i) = 0. What is i?
-16, 0, 2/5, 1, 3
Let t be 18 - (-21)/((-49)/7). Factor 6*a + t*a**2 - 3*a**3 + 43*a - 7*a.
-3*a*(a - 7)*(a + 2)
Let i(o) be the first derivative of -o**6/510 - o**5/34 + 2*o**4/51 - 207*o**2/2 - 92. Let h(z) be the second derivative of i(z). Find l such that h(l) = 0.
-8, 0, 1/2
Let r(y) be the second derivative of -y**5/30 - 209*y**4/18 + 425*y**3/9 + 211*y**2 + 324*y + 15. What is l in r(l) = 0?
-211, -1, 3
Let f(l) be the second derivative of -l**6/480 + 29*l**5/240 + 21*l**2/2 + 35*l. Let i(g) be the first derivative of f(g). Solve i(u) = 0.
0, 29
Let s be (4/450)/(665/(-63) + 11). Let l(g) be the second derivative of 0*g**2 + 1/10*g**4 - 10*g + 0 - 2/15*g**3 - s*g