is r?
3, 14
Let j be (16281/189)/9 + (-36)/4. Determine g so that 32/7*g**3 + 60/7*g**4 - 1376/7*g**2 - 1600/7 + 2880/7*g + j*g**5 = 0.
-10, 1, 2
Let b = 1356728/7 - 193818. Suppose -48/7 + 50/7*u - b*u**2 = 0. Calculate u.
1, 24
Let q(r) be the third derivative of 0 + 3/4*r**4 + 50*r**2 - 14/3*r**3 - 1/30*r**5 + 2*r. Suppose q(t) = 0. What is t?
2, 7
Let p be (0/21)/(-1)*5/40*2. Suppose 1/2*q**2 + p*q + 0 - 1/2*q**3 = 0. What is q?
0, 1
Let j(u) = -2*u**2 - 91*u + 48. Let o be j(-46). Factor -75*p + 766*p**2 - 198 - 258*p**o - 251*p**2 - 260*p**2.
-3*(p + 3)*(p + 22)
Suppose 3 = -2*n + 3*u, -41*n + 3 = -39*n - u. Solve 17/3*o**2 - 1/3*o**n + 1/3*o - 17/3 = 0 for o.
-1, 1, 17
Suppose -41*s + 42*s - 2 = 0. Let 37*j**3 + 5*j**5 - 21*j**4 - 6*j**3 - 20*j**s + 14*j**3 - 9*j**4 = 0. What is j?
0, 1, 4
Let x(b) be the second derivative of b + 0*b**3 - 3 + 1/70*b**6 + 3/28*b**5 + 1/7*b**4 + 0*b**2. Factor x(i).
3*i**2*(i + 1)*(i + 4)/7
Let v(t) = 5*t - 20. Let u be v(4). Let q = 34409/45 - 3821/5. Determine r so that -1/9*r + u + q*r**2 - 4/9*r**3 = 0.
0, 1/2
Let w(r) = 9*r. Let s(l) = l**2 + 2. Let b(d) = d**3 + d**2 - 3*d - 3. Let c be b(2). Let o(g) = c*s(g) - w(g). Let o(x) = 0. What is x?
1, 2
Let z be 15016/(-10080) + (-2 - (-19)/9). Let h = -22/35 - z. Factor 3*v**2 + 15/4*v + h*v**3 + 3/2.
3*(v + 1)**2*(v + 2)/4
Let q(g) be the second derivative of -g**5/130 - 8*g**4/39 + 3*g**3/13 + 144*g**2/13 - 2552*g. Factor q(k).
-2*(k - 3)*(k + 3)*(k + 16)/13
Let s = 6110 + -6110. Let o(y) be the first derivative of -9/40*y**5 + 1/16*y**6 + 10 + 9/32*y**4 + 0*y - 1/8*y**3 + s*y**2. Factor o(q).
3*q**2*(q - 1)**3/8
Suppose 10*w = 42 - 1192. Let f be ((-12)/10 - -1)/(w/1150). Find a, given that -f*a - 8/3 + 2/3*a**2 = 0.
-1, 4
Let x be (4554/90 + -51)/(10/35 - 38/35). Suppose 1/2 - r**2 - x*r = 0. Calculate r.
-1, 1/2
Let k(d) be the third derivative of d**6/120 + d**5/12 - d**4/4 - 893*d**2. Let k(s) = 0. What is s?
-6, 0, 1
Let a(g) = 893*g**3 + g**2 + 5*g + 3. Let d be a(-1). Let l = 896 + d. Determine n, given that 3/2*n**l - 3/2 + 0*n = 0.
-1, 1
Let y(s) be the third derivative of -1/4*s**4 + 1/525*s**7 + 1/20*s**6 + 2*s**2 - 14/15*s**3 + 13/150*s**5 - 14 + 0*s. Determine x so that y(x) = 0.
-14, -1, 1
Let q(k) = k**3 + 8*k**2 + 3*k - 54. Let c = -2535 + 2529. Let f be q(c). Factor 2/9*w**4 + 0 + 2/9*w**5 - 2/9*w**2 - 2/9*w**3 + f*w.
2*w**2*(w - 1)*(w + 1)**2/9
Suppose 547*n = 554*n - 462. Let -69*g**2 - 3*g**5 - n*g**2 + 9*g**3 + 141*g**2 = 0. Calculate g.
-1, 0, 2
Let d(b) be the second derivative of b**8/640 + b**7/280 + 163*b**4/12 - b - 29. Let f(h) be the third derivative of d(h). Let f(z) = 0. What is z?
-6/7, 0
Let k be ((-3)/2)/((3/24)/((-3)/90)). Let t(q) be the second derivative of 0 - 22*q + 1/30*q**4 - k*q**2 + 1/15*q**3. Let t(j) = 0. What is j?
-2, 1
Let d be (8/140)/(4 + 185059/(-46265)). Let i = d - 2639. Factor 162/7*h + 3/7*h**5 + 243/7*h**2 + i*h**4 + 135/7*h**3 + 0.
3*h*(h + 2)*(h + 3)**3/7
Let r = -301582/203 - -43108/29. Factor -4/7*j + 2/7*j**2 - r.
2*(j - 3)*(j + 1)/7
Suppose k = 8*k - 168. Suppose -7*c + k = 5*c. Determine b, given that -15*b**c + 39 + 4*b + 33*b - 15 + 17*b = 0.
-2/5, 4
Let x(v) be the first derivative of 6*v**2 + 15/2*v - 12 - 3/40*v**5 + 3/8*v**3 - 15/16*v**4. Determine b, given that x(b) = 0.
-10, -1, 2
Let y(i) be the second derivative of -i**5/15 - 8*i**4/3 - 10*i**3 - 43*i**2 + 6*i + 1. Let k(p) be the first derivative of y(p). Factor k(o).
-4*(o + 1)*(o + 15)
Let r(c) be the second derivative of -c**6/3420 - c**5/95 - 11*c**4/228 + c**3 - 7*c**2 + 122*c. Let y(d) be the second derivative of r(d). Factor y(g).
-2*(g + 1)*(g + 11)/19
Let f(w) = -61*w**2 - 1468*w - 93. Let u be f(-24). Factor -16/3 - 8*d + 2*d**u + 4/3*d**2.
2*(d - 2)*(d + 2)*(3*d + 2)/3
Let a(x) = 7*x + 73. Let s be a(-10). Factor -6*w - 3*w**4 + 6*w**s + 271 + 273 - 541.
-3*(w - 1)**3*(w + 1)
Suppose 110*z = 115*z + 840. Let s be (z/(-5586))/(2/7). Solve -2/19*x**4 + s*x**2 + 0 + 2/19*x - 2/19*x**3 = 0.
-1, 0, 1
Suppose -7*i = p - 11*i + 192, 3*i - 729 = 4*p. Let j be (-35)/p*8 + 4/(-18). Let -j*k**2 - 64/3 + 32/3*k = 0. Calculate k.
4
Let n(k) be the third derivative of k**5/300 + 107*k**4/40 - 161*k**3/15 + 934*k**2 - 3. Find c, given that n(c) = 0.
-322, 1
Let b(x) be the second derivative of x**6/10 - 3*x**5/20 - 3*x**4 + 14*x**3 - 24*x**2 - 869*x. Determine g so that b(g) = 0.
-4, 1, 2
Let k(m) be the first derivative of -2/3*m**3 - 236 - 1/6*m**6 + 0*m**2 + 0*m**5 + 3/4*m**4 + 0*m. Factor k(c).
-c**2*(c - 1)**2*(c + 2)
Determine l so that -110*l - 2*l**2 - 140*l - 8005 + 7273 = 0.
-122, -3
Let k be (-5)/1 - (-83)/1. Solve -t**2 + k*t + 14 + 77*t - 168*t = 0 for t.
-14, 1
Let o(u) be the second derivative of u**7/49 - 27*u**6/70 - 141*u**5/35 - 383*u**4/28 - 150*u**3/7 - 114*u**2/7 + 100*u. Solve o(z) = 0.
-2, -1, -1/2, 19
Let p(z) = -z**4 + 1160*z**3 + 2319*z**2 + 1166*z + 2. Let s(l) = -5*l**4 + 5799*l**3 + 11591*l**2 + 5831*l + 11. Let a(v) = 44*p(v) - 8*s(v). Factor a(r).
-4*r*(r - 1164)*(r + 1)**2
Let w(b) = -b**2 - 7*b - 10. Let h be w(-3). Suppose 2 + 2/7*v**h - 16/7*v = 0. Calculate v.
1, 7
Let y = -37983 - -38031. Factor 63 - y*j + 64/7*j**2.
(8*j - 21)**2/7
Let m(r) = -165*r + 169. Let i be m(-4). Let d = -1655/2 + i. Determine q, given that d - 2*q + 1/2*q**2 = 0.
1, 3
Let t(o) be the first derivative of -2*o**3 + 99*o**2/2 + 198*o - 99. Let h(b) = b**2 - 20*b - 40. Let l(u) = 21*h(u) + 4*t(u). Factor l(c).
-3*(c + 4)**2
Let y = 28 - 24. Suppose -y*m + 57 = m - 3*n, 0 = -m + 2*n + 10. What is t in 8*t**2 + 18 + m*t - 21*t**2 + 15*t**2 = 0?
-3
Let n(x) be the third derivative of -x**8/1344 - x**7/280 + x**6/120 + x**5/15 - 2*x**3/3 - 2*x**2 - 626. Solve n(d) = 0.
-2, 1, 2
Let y(r) be the third derivative of r**8/1680 + r**7/210 - 2*r**5/15 + 5*r**4/4 - r**3/6 - 29*r**2 + 1. Let a(t) be the second derivative of y(t). Factor a(p).
4*(p - 1)*(p + 2)**2
Suppose 1216874 = -37*r + 1217429. Factor 10*z**2 - 55/2*z**3 + 5/2*z + r*z**4 + 0.
5*z*(z - 1)**2*(6*z + 1)/2
Let x(t) be the second derivative of 0 - 73*t - 14/15*t**3 - 12/5*t**2 - 1/15*t**4. Suppose x(j) = 0. Calculate j.
-6, -1
Let -315*o**3 - 898*o - 225*o**2 + 343*o + 25 + 1070*o = 0. Calculate o.
-5/3, -1/21, 1
Let y(d) = -3*d**3 + 5*d - 4. Let x be y(-7). Let h = -6912/7 + x. Find g such that h*g**2 + 30/7*g**4 + 0 - 2/7*g - 46/7*g**3 = 0.
0, 1/5, 1/3, 1
Let o(t) be the first derivative of -209 - 80*t - 1/15*t**3 - 4*t**2. Determine c, given that o(c) = 0.
-20
Let -14/3*s + 8/3*s**3 - 20/3 + 14/3*s**2 = 0. What is s?
-2, -1, 5/4
Find w, given that 6156/7*w + 4/7*w**3 - 43740/7 - 276/7*w**2 = 0.
15, 27
Let h(p) = 3*p**2 - 12*p - 6. Let b be h(4). Let i be ((-672)/(-104) + b)*8/6. Suppose i - 6/13*z**2 + 8/13*z**3 - 2/13*z**4 - 8/13*z = 0. Calculate z.
-1, 1, 2
Solve -62*s + 17980*s**3 - 17982*s**3 - 18*s**2 - 23*s**2 - 23*s**2 = 0.
-31, -1, 0
Let b(o) = -7*o**2 + 932*o - 1854. Let c(l) = -39*l**2 + 5590*l - 11126. Let m(k) = 34*b(k) - 6*c(k). Let m(s) = 0. Calculate s.
-465, 2
Let f(k) be the third derivative of -k**7/42 + 5*k**6/12 - 29*k**5/12 + 5*k**4/3 + 40*k**3 + 3698*k**2. Factor f(w).
-5*(w - 4)**2*(w - 3)*(w + 1)
Let v = -44/36765 - -58868/36765. What is x in 7/5*x**4 + 1/5*x**5 + 0 + 0*x + 0*x**2 - v*x**3 = 0?
-8, 0, 1
Let u be 5/(40/64) - (119/7 + -12). Factor 2/3 - 2/15*t**u - 2/3*t**2 + 2/15*t.
-2*(t - 1)*(t + 1)*(t + 5)/15
Let o = 6991 + -139819/20. Let q(h) be the second derivative of 0*h**3 + o*h**4 + 25*h + 0 - 6/5*h**2. Suppose q(z) = 0. What is z?
-2, 2
Let t = 576993 + -576990. Factor -58/19*r**2 + 10/19*r**5 - 46/19*r**4 + 0 + 78/19*r**t + 16/19*r.
2*r*(r - 1)**3*(5*r - 8)/19
Let j(b) be the third derivative of -1/735*b**7 - 39*b**2 - 1/105*b**6 + 1/21*b**4 + 0 + 0*b + 1/210*b**5 + 0*b**3. Determine s, given that j(s) = 0.
-4, -1, 0, 1
Let m(c) be the first derivative of c**5 - 85*c**4/4 - 665*c**3/3 - 575*c**2/2 + 6956. Determine z, given that m(z) = 0.
-5, -1, 0, 23
Let l = 7/52774 - -3060843/369418. Let l - 6/7*u**2 + 172/7*u = 0. What is u?
-1/3, 29
Suppose s + 0*v = -3*v - 6, 0 = -4*s - 2*v - 24. Let d(w) = -22*w**2 - 49*w + 19. Let m(n) = 10*n**2 + 24*n - 10. Let t(y) = s*d(y) - 13*m(y). Factor t(h).
2*(h - 8)*(h - 1)
Let y(r) be the th