- r*x - 16, 10 = 4*a + 2*x. Factor 4*p**a + 21 - 5 - 16*p + 444*p**2 - 448*p**2.
4*(p - 2)*(p - 1)*(p + 2)
Factor v**2 - 1426 + 1426 + 187*v - 54*v + 141*v.
v*(v + 274)
Let g(f) be the second derivative of 0*f**5 - 5/126*f**7 + 1 - 1/6*f**6 + 5/9*f**4 + 0*f**2 + 57*f + 0*f**3. Factor g(z).
-5*z**2*(z - 1)*(z + 2)**2/3
Let w(r) be the third derivative of -11/600*r**6 + 1/350*r**7 + 11/30*r**4 - 4/75*r**5 - 3 + 8/15*r**3 - r**2 + 0*r. Solve w(h) = 0.
-2, -1/3, 2, 4
Let j be (0/41)/((-9)/(-36)*-4). What is q in 0*q + 0 + j*q**4 + 2/7*q**5 - 6/7*q**3 + 4/7*q**2 = 0?
-2, 0, 1
Let b(v) be the first derivative of -2*v**5/15 - 2*v**4 + 296*v**3/9 - 80*v**2 - 7889. What is h in b(h) = 0?
-20, 0, 2, 6
Let 2/3*b**3 + 176/3 - 56*b + 12*b**2 = 0. Calculate b.
-22, 2
Let g(n) be the second derivative of -n**6/60 + 13*n**5/20 - 137*n**4/24 - 119*n**3/3 + 147*n**2 + 15*n + 111. Factor g(j).
-(j - 14)**2*(j - 1)*(j + 3)/2
Factor 304*a + 46208 + 1/2*a**2.
(a + 304)**2/2
Factor 41*r**3 - 80*r**3 + 111*r**2 - 495*r**2 - 256*r**2 - 5*r**4 - 1120*r - 71*r**3.
-5*r*(r + 4)**2*(r + 14)
Factor 3*r + 9 - 9/4*r**2 - 3/4*r**3.
-3*(r - 2)*(r + 2)*(r + 3)/4
Suppose 12*j - 10 = 38. Suppose -j*t = 307 - 319. Let -k**2 - 1/3 + k + 1/3*k**t = 0. What is k?
1
Let c(x) = -10*x**3 + 36*x**2 - 7*x. Let b(o) = -3*o**3 + 13*o**2 - 2*o. Let n(w) = -7*b(w) + 2*c(w). Let n(u) = 0. What is u?
0, 19
Let q(m) = -m + 12. Let l be q(9). Let o = 5 - l. Factor -o*p**2 + 7*p**2 - 2 + 15*p + 2.
5*p*(p + 3)
Suppose -4*q - 12 = 2*k - 3*q, 0 = -5*k + 5*q. Let a(g) = -g**2 - 6*g - 5. Let n be a(k). Factor -6*t - 6*t**2 + 7*t**4 - 25 + 4*t + 2*t**n + 27 - 3*t**4.
2*(t - 1)*(t + 1)**2*(2*t - 1)
Suppose -6*i + 7*i = 3. Let c = 7 - i. Suppose -2*g**5 + g - 2*g**4 + 10*g**3 + 10*g**2 + 3*g - c*g**3 = 0. Calculate g.
-1, 0, 2
Let d(t) be the first derivative of t**5 + 5*t**4/4 - 5*t**3/3 - 5*t**2/2 - 1341. Determine g, given that d(g) = 0.
-1, 0, 1
Solve -4/3*s**2 - 440/3*s + 6400/3 + 1/6*s**3 = 0.
-32, 20
Let n be (-20)/(-290) - ((-436)/6)/(4/(-390)*-290). Suppose -n*x + 10 - 5/4*x**2 = 0. Calculate x.
-20, 2/5
Let d = 224 - 221. Factor 104 - 80*f - 6832*f**3 - 8 + 6830*f**d + 22*f**2.
-2*(f - 4)**2*(f - 3)
Let p(s) be the third derivative of s**8/840 - s**6/90 + s**4/12 - 7*s**3/2 + 53*s**2 + 1. Let v(d) be the first derivative of p(d). Factor v(n).
2*(n - 1)**2*(n + 1)**2
Let a(f) = -5*f**2 - 51*f - 5. Let y(l) be the first derivative of -l**4/4 - l**2/2 + l - 199. Let x(w) = 2*a(w) - 14*y(w). Factor x(i).
2*(i - 3)*(i + 2)*(7*i + 2)
Let z be (5 - 1 - 4) + 580/435. What is g in -14/9*g - 2/3*g**2 + 2/9*g**4 + z + 2/3*g**3 = 0?
-3, -2, 1
Let t(d) = -4*d**3 + 3*d**2 + 4*d. Let z be t(-3). Let g = 948 - 945. Factor 119*v**5 + 8*v**g + v - z*v**5 - 5*v.
-4*v*(v - 1)**2*(v + 1)**2
Let h(g) be the second derivative of -g**5/12 + g**4/2 - 2*g**3/3 - 4*g**2/3 - 452*g. Factor h(x).
-(x - 2)**2*(5*x + 2)/3
Suppose -32 = -5*k - 4*v, -4*v + 3*v + 15 = 3*k. Find m such that 16/7*m**3 - 2/7*m**k - 24/7 + 8*m - 46/7*m**2 = 0.
1, 2, 3
Let s be -220 + 202 + (-4)/12*-63. Let -8/5*l**2 + 8/5 + 4/5*l - 4/5*l**s = 0. What is l?
-2, -1, 1
Suppose -11*r = -7*r + 164. Let v = r + 65. What is i in 8*i - 4*i**3 + 7*i**3 + v + 46*i + 30*i**2 - 3*i = 0?
-8, -1
Let x(k) be the third derivative of k**6/240 + 67*k**5/60 + 265*k**4/48 + 11*k**3 + 48*k**2. Let x(s) = 0. What is s?
-132, -1
Let c be (-12)/(-48)*(3 - 0 - 1). Let w(s) be the second derivative of 1/10*s**5 - c*s**4 + 0 + 19*s + 0*s**2 + 2/3*s**3. Solve w(m) = 0 for m.
0, 1, 2
Let j = 1834/5 + -7331/20. Let i(b) be the first derivative of j*b**2 - 1/8*b**4 - 4 + 1/2*b**3 - 1/10*b**5 - b. Let i(x) = 0. What is x?
-2, -1, 1
Let w be (-2*15/(-100))/(30/(-880)*-11). Solve 2/5*s**3 + 2/5*s + 0 + w*s**2 = 0.
-1, 0
Let g(r) be the second derivative of r**5/20 + r**4/12 - 85*r**3/6 + 275*r**2/2 - 1008*r. Factor g(f).
(f - 5)**2*(f + 11)
Let y = 263/8 + -2351/72. Let -28/3*l**2 + 22/9*l**3 + 128/9*l - 64/9 - y*l**4 = 0. Calculate l.
1, 2, 4
Let p be 24/(-35)*(-68)/612 - (-4)/60. Let -p*i**3 + 0 + 3/7*i**2 - 2/7*i = 0. What is i?
0, 1, 2
Suppose 4*l = 24*l - 8220. Let y = l - 3698/9. Suppose 0*t**2 + y*t**5 + 0*t**4 - 1/9*t**3 + 0*t + 0 = 0. Calculate t.
-1, 0, 1
Suppose -50*i = -49*i - 3*a - 10, 4 = -2*a. Let j(k) be the first derivative of 0*k + 1/10*k**i + 1 + 1/5*k**2 + 4/15*k**3. Factor j(v).
2*v*(v + 1)**2/5
Factor -137*w + 0*w**3 - 1403*w - 8*w**3 - 162*w**2 + 3*w**3 + 3*w**3.
-2*w*(w + 11)*(w + 70)
Suppose 70 - 16 = 18*g. Suppose -3*i + 29 = 5*j, i + i - 10 = -j. What is k in -2 + 3*k + 7*k**4 - 10*k**4 + k**2 + 0*k**3 - i*k**g + 4*k**4 = 0?
-1, 1, 2
Let z be 12/432*-1*(-2 + -2)*42/4. Factor 3/2*h + z*h**3 - 1/6 - 5/2*h**2.
(h - 1)**2*(7*h - 1)/6
Let v(s) be the third derivative of 1/40*s**6 + 0 - 1/8*s**4 + 0*s - 4*s**3 + 139*s**2 + 2/5*s**5. Let v(h) = 0. What is h?
-8, -1, 1
Let c(h) be the first derivative of h**6/21 + 44*h**5/7 + 216*h**4 - 220*h**3/21 - 3025*h**2/7 + 10881. What is v in c(v) = 0?
-55, -1, 0, 1
Suppose 299*y - 775 = 421. Suppose -5*x**2 + 1/2*x**3 - y + 17/2*x = 0. Calculate x.
1, 8
Let x(l) be the second derivative of l**6/195 + 68*l**5/65 + 2377*l**4/39 + 8576*l**3/39 - 13467*l**2/13 - 25*l + 8. Suppose x(i) = 0. Calculate i.
-67, -3, 1
Suppose 0 = 4*j + 4*m + 52, 1507*m - 1508*m = 3*j + 13. Factor 1/10*v**2 + j + 2/5*v.
v*(v + 4)/10
Let u(q) be the first derivative of -4*q**3/21 + 250*q**2/7 + 1016*q/7 + 1617. Determine k so that u(k) = 0.
-2, 127
Let b be ((20/(-7))/4)/((-375)/50 - -7). Find v such that -b*v + 4/7 + 6/7*v**4 - 10/7*v**2 + 10/7*v**3 = 0.
-2, -1, 1/3, 1
Let m(v) be the third derivative of 5*v**4 - 1/42*v**7 + 7/20*v**6 - 153*v**2 + 0 - 16/3*v**3 + 0*v - 29/15*v**5. Determine b, given that m(b) = 0.
2/5, 2, 4
Let v(p) be the third derivative of p**7/280 + 3*p**6/80 - 87*p**5/80 - 31*p**4/2 + 72*p**3 - 40*p**2 - 7*p. Factor v(k).
3*(k - 9)*(k - 1)*(k + 8)**2/4
Let m(r) be the third derivative of -5/96*r**6 + 5/1344*r**8 + 0*r**7 + 0*r**5 + 0 + 5/24*r**4 - 33*r + 0*r**3 - r**2. Find l such that m(l) = 0.
-2, -1, 0, 1, 2
Let k(w) be the first derivative of w**4 + 1372*w**3/3 + 59166*w**2 + 116964*w - 1187. Solve k(h) = 0 for h.
-171, -1
Let o = 537 + -531. Let t(v) be the second derivative of 0*v**3 + 0*v**2 + 1/189*v**7 + 1/30*v**5 + 1/45*v**o + 13*v + 1/54*v**4 + 0. Find w such that t(w) = 0.
-1, 0
Let d(c) be the third derivative of c**5/30 - 13*c**4/2 - 81*c**3 - 6889*c**2. Factor d(f).
2*(f - 81)*(f + 3)
Solve -5*a**3 - 2532*a**2 + 19225100*a - 19759352*a + 2*a**3 = 0 for a.
-422, 0
Let p(l) be the first derivative of 1/4*l**4 - 31*l - 1/7*l**3 + 0*l**2 - 23. Let r(c) be the first derivative of p(c). Solve r(g) = 0.
0, 2/7
Factor -41 - 7/4*h**2 + 144*h.
-(h - 82)*(7*h - 2)/4
Let y(q) be the third derivative of 0*q - 1/540*q**6 + 0 + 50*q**2 + 1/27*q**3 + 1/108*q**4 - 1/270*q**5. Factor y(w).
-2*(w - 1)*(w + 1)**2/9
Let u be 5618/602 + -2 + 3276/1677. Suppose -n**2 - u*n - 18/7 = 0. Calculate n.
-9, -2/7
Let b(m) = -m**2 + 7*m + 4. Let r be b(8). Let x be 85/1 + 7 + r. Let 14*w**5 - x*w**2 + 112*w**3 - 28*w**4 + 32*w - 4 + 2*w**5 - 40*w**4 = 0. Calculate w.
1/4, 1
Suppose 40*t + 21 = -3*k + 37*t, -2*t + 26 = -3*k. Let l be (-5)/24*-39 + k. Factor 0*h**4 + l*h + 1/8*h**5 - 1/4*h**3 + 0 + 0*h**2.
h*(h - 1)**2*(h + 1)**2/8
Let s = -1392251632/395 - -3524690. Let z = s + 6/79. Factor -z + 2/5*a**2 + 2/5*a.
2*(a - 2)*(a + 3)/5
Let 3*x**4 + 72*x**2 + 3*x**5 + 432*x - 4*x**3 - 9*x**4 - 245 - 65*x**3 + 245 = 0. Calculate x.
-3, 0, 4
Let h(z) = z**3 - 10*z**2 - 4*z + 114. Let n be h(4). Suppose -34/11*f**n + 32/11*f + 2/11 = 0. What is f?
-1/17, 1
Let i(y) be the second derivative of 0 - 125/17*y**2 - 1/170*y**5 - 25/17*y**3 - 5/34*y**4 - 11*y. Solve i(f) = 0 for f.
-5
Suppose 15*b - 347 = 403. Suppose 15*u + 5*u**2 + b - 30*u - 20*u = 0. What is u?
2, 5
Let k(n) = n**3 + 6*n**2 + 6*n - 3. Let o be k(-3). Suppose -p = -o*p + 10. Factor 75 + 25 + 7*j**p - 3*j**2 + 40*j.
4*(j + 5)**2
Suppose -52*z = -406 - 268 + 518. Suppose -2*i - 4*x - 6 = -0, -5*i + 60 = -5*x. Factor -11 + 48*c + 8*c**z + i*c**3 - 57*c**2 + 23.
3*(c - 2)**2*(5*c + 1)
Let d = -382477/23 - -735562381/44229. Let i = -2/641 + d. Suppose -i*f**2 + 0 - 8/3*f = 0. Calculate f.