lve -888*i**2 - 64*i**3 + 202 + 54 + 636*i**v + 11*i - 4*i**4 + 53*i = 0 for i.
-8, -1, 1
Let w be 21/(-3) + 1431/189. Let q(f) be the second derivative of w*f**2 - 1/14*f**4 + 3*f - 4/7*f**3 + 1/35*f**6 + 4/35*f**5 + 0. Suppose q(d) = 0. What is d?
-2, 1/3, 1
Let q(r) be the second derivative of 4*r**6/3 - 21*r**5 - 115*r**4/6 + 35*r**3/2 + 55*r**2/2 - 9536*r. What is i in q(i) = 0?
-1/2, 1/2, 11
Find s such that -5054*s**2 - 5081*s**2 + 76*s + 2*s**3 + 10105*s**2 + 288 = 0.
-2, 8, 9
Suppose 1003 = 10*i - 317. Let u = 134 - i. Factor 8*l + 2*l**4 - 4*l**2 + 10 - 8*l**3 + 19*l**u - 27*l**2.
2*(l - 5)*(l - 1)*(l + 1)**2
Determine r so that 8784/11*r + 3552/11 - 150/11*r**3 + 5310/11*r**2 = 0.
-4/5, 37
Let k be (-30)/(-40) + ((-41)/(-4))/1. Suppose -7*x + 24 = -k. Factor 41*q**3 - 82*q**3 + 4*q**x - 2*q**5 + 39*q**3.
2*q**3*(q - 1)*(q + 1)
Suppose -h = 2*b - 16, 152 = 8*b - 10*b + 13*h. Factor -9/7*g**b - 15/7*g - 6/7.
-3*(g + 1)*(3*g + 2)/7
Suppose 28 = -18*n + 100. Solve -v**5 - v**2 + 5*v**4 + 4 - 6*v**2 + 7*v**4 - 17*v**n + v**3 + 8*v**4 = 0.
-1, 1, 2
Let b = -535 - -13. Let a = 522 + b. Solve -4/9*s - 2/3*s**2 - 2/9*s**3 + a = 0 for s.
-2, -1, 0
What is q in 0*q - 2/5*q**3 + 16/5*q**2 + 0 = 0?
0, 8
Suppose -5*s - 16*s + 147 = 0. Determine v, given that 15*v**2 + 5*v**4 + 32*v + 27913 - 27933 - s*v - 25*v**3 = 0.
-1, 1, 4
Let k(w) = -2*w**2 + 81*w + 30. Let v be k(26). Let m = -781 + v. Suppose 0 + 9/4*y - 3/2*y**2 + 1/4*y**m = 0. What is y?
0, 3
Let c(x) be the first derivative of -x**4/10 + 88*x**3/15 - 84*x**2/5 + 1143. Suppose c(l) = 0. What is l?
0, 2, 42
Suppose z = 0, 5*b + 2*z - 20 = -2*z. Determine c so that -9*c**5 + 85*c**3 - 48*c**3 - 40*c**3 - 12*c**b = 0.
-1, -1/3, 0
Let k = -680859/20 - -34043. Let g(q) be the second derivative of k*q**5 - 2*q**2 + 3/2*q**3 - 1/2*q**4 - 8*q + 0. Factor g(s).
(s - 4)*(s - 1)**2
Suppose 0*w - m - 30162 = -w, 0 = 2*w + 3*m - 60304. What is c in 0 + w*c**2 - 30148*c**2 + 0 - c**3 = 0?
0, 10
Suppose 41 = 11*u - 25. Suppose -u*l = -5*l - 2. Suppose 3*t**2 + 21 - t**2 + t - 25*t + t**l = 0. Calculate t.
1, 7
Suppose 4*y + 2*x = -154, 10*y - 5*y - 2*x + 170 = 0. Let p be (y/126)/(4 + (-33)/8). Find z, given that 4/7*z**4 + 12/7*z**3 + p - 20/7*z**2 - 12/7*z = 0.
-4, -1, 1
Let s(n) = -4*n. Suppose -4*c = -c + 4*v - 4, 0 = -4*v + 4. Let y(b) = 1888 - 1887 - b - b**2 + c*b**2. Let d(t) = -s(t) + 4*y(t). Factor d(q).
-4*(q - 1)*(q + 1)
Suppose -4*u + s = 167, 9 - 62 = u - 4*s. Let o = -38 - u. Factor 2*f**4 + 7*f**5 - 9*f**5 - f**3 + 5*f**o.
-2*f**3*(f - 2)*(f + 1)
Let 62/3*m**3 - 1/6*m**5 - 16*m - 7/2*m**4 + 104/3 - 80/3*m**2 = 0. What is m?
-26, -1, 2
Let c be (-44)/(-77) + ((-12)/(-4) - (-10 + 13)). Factor -36/7*g - 40/7 + c*g**2.
4*(g - 10)*(g + 1)/7
Suppose 33*c + 4*c - 5920 = 0. Let r be 120/850*c/24. Factor -16/17*b + 50/17*b**2 + 2/17 - r*b**5 - 76/17*b**3 + 56/17*b**4.
-2*(b - 1)**2*(2*b - 1)**3/17
Suppose 0 = -69*k + 67*k + 6. Suppose -3*u = -9 + k. Let 0*w**3 + 142*w**5 - 144*w**5 - 6*w**4 + 2*w**3 + 6*w**u = 0. What is w?
-3, -1, 0, 1
Let r(v) be the third derivative of -v**5/240 + 259*v**4/96 - 257*v**3/12 - 8356*v**2. Factor r(d).
-(d - 257)*(d - 2)/4
Suppose -z = 4*t - 11, z - 8 + 3 = -2*t. Suppose 0 = -t*j + j. Factor j*a**2 - 5*a**2 + 8*a**2 + 0*a**2 - 6*a.
3*a*(a - 2)
Let q(j) be the second derivative of -165649*j**5/40 + 54945*j**4/8 + 271*j**3/4 + j**2/4 - 1228*j. Solve q(h) = 0.
-1/407, 1
Suppose -43*v = -3*n - 45*v - 4, -2*v - 6 = 2*n. Suppose 2/13*a**n + 22/13 + 24/13*a = 0. Calculate a.
-11, -1
Let s = -30 + 5. Let p = s + 30. Solve 9*m**2 + 33*m + 4 - 9*m**3 + 1 + 2*m**4 + 13 - p*m**4 = 0 for m.
-3, -1, 2
Let i(n) = -n - 10 + 8 + 9 + 22. Let q be i(29). Factor -1/2*b**2 + 1/4*b**3 + q + 1/4*b.
b*(b - 1)**2/4
Let a be -1*((-366)/84 + 0 + 4/(-28)). Factor 33/8 + 3/8*k**2 + a*k.
3*(k + 1)*(k + 11)/8
Factor -301 + 85 - 26*x**2 - 90*x**2 - 138*x**2 + 217*x**4 - 424*x - 44*x**3 - 215*x**4.
2*(x - 27)*(x + 1)*(x + 2)**2
Let m = 318595 - 3504509/11. Factor -12/11 - 2/11*c**5 - 4/11*c**4 + 46/11*c + m*c**3 - 64/11*c**2.
-2*(c - 1)**4*(c + 6)/11
Let u(t) be the third derivative of -t**6/60 + 11*t**5/15 - 8*t**4 - 96*t**3 - 587*t**2. Suppose u(o) = 0. Calculate o.
-2, 12
Let h be ((-29)/(2233/66))/((-2)/14). Factor -31*z - 51*z**2 - 37*z + h + 55*z - 86*z.
-3*(z + 2)*(17*z - 1)
Let y be -4*11/(-2) + (-352108)/21470. Factor -56/5 - 188/5*z + y*z**2.
4*(z - 7)*(7*z + 2)/5
Let b(i) be the second derivative of i**4/3 + 6*i**3 - 720*i**2 + 6061*i. Solve b(q) = 0.
-24, 15
Let t be 1*(-102)/(-120) - (-2)/(-8). Let h be 39/15*1 - (-27)/(675/10). Solve -h*c**2 - t*c**4 + 6/5*c + 12/5*c**3 + 0 = 0 for c.
0, 1, 2
Let d(a) be the third derivative of a**7/1470 - 5*a**6/168 + 53*a**5/140 + 253*a**4/168 - 242*a**3/3 - 3583*a**2. Factor d(k).
(k - 11)**2*(k - 7)*(k + 4)/7
Let k(a) be the third derivative of a**5/12 - 265*a**4/24 + 550*a**3 - 54*a**2 + 25. Let k(i) = 0. Calculate i.
20, 33
Suppose 6*q - 345 = -17*q. Let m(r) = 10*r**2 + 100*r + 135. Let i(l) = l**2 + l + 3. Let w(d) = q*i(d) - m(d). Suppose w(c) = 0. What is c?
-1, 18
Suppose -132/5*z + 0 + 1/5*z**2 = 0. Calculate z.
0, 132
Let v(w) be the third derivative of w**7/420 - 19*w**6/120 + 8*w**5/15 + 6*w**4 + 40*w**2 + 16. Factor v(i).
i*(i - 36)*(i - 4)*(i + 2)/2
Let q = 1437 - 1437. Let n(w) be the second derivative of -3/20*w**5 - 2/7*w**7 + 0*w**3 + 0*w**2 + 0*w**4 + q + 1/2*w**6 + 12*w. Find r, given that n(r) = 0.
0, 1/4, 1
Let u = 413 - 404. Factor -9*m + 50*m**3 - u - 30*m**2 - 5*m + 7 - 4*m.
2*(m - 1)*(5*m + 1)**2
Let m(q) be the first derivative of -q**8/168 - q**7/21 - q**6/10 + 35*q**2 + 103. Let d(f) be the second derivative of m(f). Let d(s) = 0. Calculate s.
-3, -2, 0
Let -27/4*q**5 + 57/2*q**4 - 5715/4*q + 339/2*q**3 - 444*q**2 + 675/2 = 0. What is q?
-3, 2/9, 5
Let v be 5 - (504/3)/(786/24 - -1). Let t(n) be the second derivative of 0 + 0*n**3 - 3*n + 1/27*n**4 + 0*n**2 + v*n**5. Determine g so that t(g) = 0.
-1, 0
Let v = -110 + 114. What is g in -148*g**2 - 2 - v + 151*g**2 - 12 + 3*g = 0?
-3, 2
Let y(g) be the third derivative of -2/9*g**3 - 1/4*g**4 + 3/4*g**5 - 51/80*g**6 + 27/140*g**7 + 0 + 0*g - 9*g**2. Factor y(l).
(3*l - 2)**3*(9*l + 1)/6
Let z = -72383 - -72385. Suppose -72/5 - 2/5*j**4 + 24*j - 4*j**3 - 26/5*j**z = 0. Calculate j.
-6, 1
Let w(b) be the second derivative of 3/20*b**5 + 0 + 3/5*b**3 - 17/20*b**4 + 206*b + 0*b**2. Find f, given that w(f) = 0.
0, 2/5, 3
Let t be ((-38)/(-5))/(83866/44140). Let k = -4/11 + 56/33. Suppose 2/3*v**5 - k*v**3 + 4/3 - 14/3*v - 4/3*v**t + 16/3*v**2 = 0. What is v?
-2, 1
Let z(a) = 145 + 145 + 24*a - 290. Let i be z(0). What is u in 0 + 5/2*u**2 + i*u + 10*u**3 = 0?
-1/4, 0
Let q(f) be the second derivative of -f**4/30 + 236*f**3/5 - 125316*f**2/5 - 6*f. Factor q(z).
-2*(z - 354)**2/5
Let y(g) be the first derivative of -1/20*g**4 + 0*g - 2/15*g**3 - 64 + 0*g**2. Factor y(i).
-i**2*(i + 2)/5
Let s(d) be the second derivative of 2*d**7/105 - d**6/75 - 43*d**5/50 - d**4/10 + 15*d**3 + 108*d**2/5 - 1209*d. Find n, given that s(n) = 0.
-3, -1/2, 3, 4
Let m(i) be the third derivative of -32/15*i**3 - 1/300*i**6 + 35 + 0*i - 3/5*i**4 - 2/25*i**5 - i**2. Find r, given that m(r) = 0.
-8, -2
Let k(w) be the second derivative of 1/21*w**4 + 0*w**3 + 3/140*w**5 - 1/210*w**6 - 32*w - 4 + 0*w**2. Factor k(y).
-y**2*(y - 4)*(y + 1)/7
Suppose -15 - 70 = -5*l. Let v(q) = q**2 - 17*q + 4. Let f be v(l). Factor 7*z**f - 7*z + 2 - 2 + 9*z**2 - 6*z**4 - 5*z**3 + 2.
(z - 2)*(z - 1)**3
Let t = -161143 - -161146. Factor 20/3*d**2 + 2/9*d**t + 112/9 - 2/9*d**4 + 152/9*d.
-2*(d - 7)*(d + 2)**3/9
Let n(u) = u**2 - 6*u + 5. Let h(z) be the second derivative of -z**4/12 + 2*z**3/3 - 2*z**2 + 102*z. Let s(t) = -4*h(t) - 3*n(t). Solve s(v) = 0 for v.
-1
Let b(d) be the first derivative of -4*d**5/35 - 23*d**4/14 - 22*d**3/21 + 1277. Determine s, given that b(s) = 0.
-11, -1/2, 0
Let d(y) be the first derivative of -2*y**5/5 + y**4 - 2*y**3/3 - 1146. Factor d(c).
-2*c**2*(c - 1)**2
Factor -2/7*c**3 - 918/7*c**2 - 1830/7*c - 914/7.
-2*(c + 1)**2*(c + 457)/7
Let r(o) = o**3 - 16*o**2 - 4*o + 66. Let l be r(16). Factor 1681 + 52*h**2 - 22*h**2 - h**3 + 53*h**l - 1763*h.
-(h - 41)**2*(h - 1)
Let y = 13585/56 +