hat is c?
-1356
Let l = -1/2271287 + 74952478/15899009. Solve 32/7*n + l*n**2 + 0 + 1/7*n**3 = 0.
-32, -1, 0
Let q(g) be the first derivative of -5*g**4/12 + 35*g**3/6 - 15*g**2 - 91*g + 117. Let m(o) be the first derivative of q(o). Factor m(t).
-5*(t - 6)*(t - 1)
Let a(d) = d**3 - 11*d**2 - 11*d - 5. Let o be a(12). Suppose -9*l + 6 = -o*l. Let 8*t + 6*t**2 - 4*t + 5*t**3 - 3*t**l + 0*t**2 = 0. What is t?
-2, -1, 0
Let d be (-166)/6 - 6/(-9). Let u = 27 + d. Suppose 3/2*z**4 - 9/2*z**2 + u + 0*z**3 + 3*z = 0. Calculate z.
-2, 0, 1
Let 2350/13*a**3 + 1780/13*a**2 - 16/13 + 296/13*a = 0. Calculate a.
-2/5, 2/47
Let c(k) = -353*k - 1. Let w be c(-3). Let -95*m + w + 29*m - 26*m + 0*m**2 + 2*m**2 = 0. What is m?
23
Factor 0 + 0*s**2 - 1/6*s**3 + 27/2*s.
-s*(s - 9)*(s + 9)/6
Suppose -2*i = -3*i + 1. Let b be (i/3)/((-3)/9)*0. Factor -3*f**2 + 8*f**2 - 3*f**2 + b*f**2 + f**3 - 3*f.
f*(f - 1)*(f + 3)
Factor -5897629008/7 - 8604/7*a**2 + 12338136/7*a + 2/7*a**3.
2*(a - 1434)**3/7
Solve -2/5*r**4 + 8/5*r**3 - 8/5*r + 6/5 - 4/5*r**2 = 0.
-1, 1, 3
Let m(l) = 41*l - 20. Let x be m(-7). Let n = x - -567. Determine f so that -125*f**3 + 625*f**4 + n*f + 109*f**2 - 493*f**2 - 66*f**2 - 40 = 0.
-1, 2/5
Let y be (88/(-550))/(189/195 + -1) + -4. Let t(k) be the first derivative of -7 + y*k**2 + 8/5*k - 4/3*k**3. Suppose t(w) = 0. What is w?
-2/5, 1
Suppose 0*y - 32 = -4*o - 5*y, -5*o + 31 = 4*y. Suppose o*b - 1 = 71. Determine g, given that 248*g**3 - 254*g**3 - 4*g**2 + b*g**4 - 14*g**5 + 0*g**2 = 0.
-2/7, 0, 1
Suppose 195*z + 214*z + 8 - 2*z**2 - 619*z - z**3 + 214*z = 0. What is z?
-2, 2
Suppose -s = -30 + 3. Let p = 53 + s. Suppose p - 2*k**2 + 3*k**2 - 79 + 2*k = 0. What is k?
-1
Let n(j) be the third derivative of 3*j**6/200 - 149*j**5/75 - 157*j**4/40 + 67*j**3/15 - 32*j**2 + 6. Find g such that n(g) = 0.
-1, 2/9, 67
Let k(j) be the first derivative of -j**4/3 + 14*j**3/3 - 58*j - 8. Let r(p) be the first derivative of k(p). Factor r(z).
-4*z*(z - 7)
Factor 2*s - 4*s**3 + 39*s**3 + 281*s - 778*s - 1140*s**2.
5*s*(s - 33)*(7*s + 3)
Let o(j) be the first derivative of -74/33*j**3 - 23 - 10/11*j**2 + 13/22*j**4 + 0*j + 8/55*j**5. Let o(i) = 0. What is i?
-5, -1/4, 0, 2
Let d(u) be the first derivative of 92*u**5/5 - u**4 - 787. Suppose d(o) = 0. What is o?
0, 1/23
Let g be 13/(-78) + (-263)/(-30) + (-616)/88. Solve -g*r + 0 + 4/5*r**2 + 4/5*r**3 = 0.
-2, 0, 1
Let j(q) be the third derivative of 1/42*q**7 - 30*q**4 + 160/3*q**3 - 3/4*q**6 + 3*q**2 + 0 + 12*q + 97/12*q**5. Factor j(r).
5*(r - 8)**2*(r - 1)**2
Let y be (-48)/(-22) + 8/(-44). Let q be (-32)/(-12) - 3/y. Factor q*s + 1/3*s**2 + 1/2.
(s + 3)*(2*s + 1)/6
Let r = -135132/7 + 19305. Factor 0 - 24/7*z**2 + 0*z + 6/7*z**4 - 12/7*z**3 + r*z**5.
3*z**2*(z - 2)*(z + 2)**2/7
Suppose -10*d + 143 = 3. Factor -72 + 13*m**2 - 9*m**2 - d*m + 73*m + 9*m.
4*(m - 1)*(m + 18)
Let v(r) be the third derivative of 0*r - 2/75*r**5 + 1/525*r**7 + 0 - 1/300*r**6 + 1/15*r**4 - 7*r**2 + 0*r**3. Let v(y) = 0. Calculate y.
-2, 0, 1, 2
Let d(u) be the second derivative of -7*u**6/480 - 9*u**5/20 - 5*u**4/8 - 5*u**3/6 + 21*u**2/2 + 107*u. Let h(q) be the second derivative of d(q). Factor h(v).
-3*(v + 10)*(7*v + 2)/4
Let l(a) be the second derivative of 49*a**5/5 - 1036*a**4/3 - 610*a**3 - 396*a**2 - 7*a + 1078. Factor l(w).
4*(w - 22)*(7*w + 3)**2
Let d = -88 + 82. Let h be (d/18 - (-1 + -2)) + -2. Determine z so that 8/3*z + h*z**4 + 0 + 10/3*z**3 + 16/3*z**2 = 0.
-2, -1, 0
Let f be 5/35*((-374)/(-180) - (-58)/(-29)). Let g(q) be the second derivative of -f*q**5 + 0*q**2 + 0 - 5/27*q**3 - 23*q + 1/9*q**4. Factor g(v).
-2*v*(v - 5)*(v - 1)/9
Determine n so that 0 + 24*n**3 + 21*n - 1037*n**4 + 48*n**2 + 11*n + 0 + 1041*n**4 = 0.
-2, 0
Let n(r) = -3*r**4 + 96*r**3 - 199*r**2 + 98*r - 4. Let s(g) = -11*g**4 + 287*g**3 - 597*g**2 + 293*g - 14. Let p(l) = -35*n(l) + 10*s(l). Solve p(f) = 0.
-100, 0, 1
Suppose -4537 = 9*p - 4564. Let r = 15 + -11. Find v such that 0 - 1/12*v**r + 0*v**2 + 0*v - 1/6*v**p = 0.
-2, 0
Let q(p) = 6*p**2 - p - 3. Let c = 30 - 1. Let i = c + -33. Let d(l) = 13*l**2 - l - 7. Let g(y) = i*d(y) + 10*q(y). Factor g(n).
2*(n - 1)*(4*n + 1)
Let v(u) = -25*u**2 - 296*u - 604. Let z(t) = 7*t**2 + 98*t + 200. Let i(a) = 2*v(a) + 7*z(a). Factor i(c).
-(c - 96)*(c + 2)
Let c = -1567591 + 1567591. Find u such that 47/2*u**3 + u - 49/2*u**2 + c = 0.
0, 2/47, 1
Let d = -7017 + 35309/5. Let n(h) be the first derivative of 80/3*h**3 + 6*h**2 + 0*h + 1 + 32/3*h**6 + 17*h**4 - d*h**5. Determine y, given that n(y) = 0.
-1/4, 0, 1, 3
Factor -4/7*f**3 + 36/7 + 36/7*f - 4/7*f**2.
-4*(f - 3)*(f + 1)*(f + 3)/7
Let l(g) = 4*g**2 - 285*g + 73. Let o be l(71). Let u = 281/186 + -1/93. Factor 0 - u*t - 3/8*t**3 - 3/2*t**o.
-3*t*(t + 2)**2/8
Factor -190 + 317 - 252*a**2 - 940*a - 12*a**3 - 236*a**2 - 591.
-4*(a + 1)**2*(3*a + 116)
Let q(m) be the third derivative of m**8/336 + m**7/30 - 31*m**6/60 - 109*m**5/30 - 227*m**4/24 - 77*m**3/6 + 686*m**2 - m. Determine l so that q(l) = 0.
-11, -1, 7
Let j(i) be the third derivative of -i**5/140 + 37*i**4/56 - 5*i**2 - 40. Factor j(y).
-3*y*(y - 37)/7
Factor -x**2 - 63582*x + 2*x**2 + 65562*x + 980100.
(x + 990)**2
Let n(w) = -264*w**3 + 2510*w**2 - 1992*w - 308. Let a(d) = 75*d**3 - 717*d**2 + 569*d + 88. Let k(i) = -18*a(i) - 5*n(i). Let k(u) = 0. What is u?
-2/15, 1, 11
Let j(z) be the third derivative of z**2 + 17/330*z**5 - 21/44*z**4 + 18 - 27/11*z**3 - 1/660*z**6 + 0*z. Factor j(m).
-2*(m - 9)**2*(m + 1)/11
Suppose 267*y + 8 = 268*y. Let 11 - 12 - 2*z + 3*z - y*z**2 + 8*z = 0. Calculate z.
1/8, 1
Let x(m) be the second derivative of -m**4/42 - 13*m**3/7 + 18*m**2 + 5*m + 106. Factor x(u).
-2*(u - 3)*(u + 42)/7
Let p(v) be the first derivative of -5*v**6/6 + 170*v**5 - 37785*v**4/4 + 141100*v**3/3 - 68890*v**2 + 939. Factor p(b).
-5*b*(b - 83)**2*(b - 2)**2
Determine p so that 28/11*p**3 - 18/11*p**5 + 24/11*p**2 - 16/11*p - 30/11*p**4 + 0 = 0.
-2, -1, 0, 2/3
Let f(d) be the second derivative of 136*d + 25/8*d**2 - 5/12*d**3 + 1/48*d**4 + 0. What is w in f(w) = 0?
5
Let n(y) be the third derivative of -y**5/270 + 49*y**4/27 + 44*y**3/3 + 21*y**2 + 48. Suppose n(m) = 0. What is m?
-2, 198
Let z = 39 + -37. Let a(g) = -89 - 24*g - g**2 - 16*g + 8*g**z. Let p(h) = 2*h**2 - 10*h - 22. Let y(o) = 6*a(o) - 22*p(o). Factor y(d).
-2*(d + 5)**2
Let w(a) be the first derivative of -3*a**4/4 - 22*a**3 - 201*a**2/2 + 270*a - 171. Factor w(d).
-3*(d - 1)*(d + 5)*(d + 18)
Solve -9*n**4 - 3*n**5 - 76909*n**3 + 9*n + 76906*n**3 - 3*n + 9*n**2 = 0 for n.
-2, -1, 0, 1
Let a(b) be the second derivative of b**5/40 - 3*b**4/8 + b**3/2 + 4*b**2 - 3*b + 339. Let a(p) = 0. Calculate p.
-1, 2, 8
Let n(m) be the second derivative of -m**6/20 + 12*m**5 - 317*m**4/8 + 79*m**3/2 - 231*m. Factor n(w).
-3*w*(w - 158)*(w - 1)**2/2
Let b be (-1)/(7/(49434/(-18))). Let m = b + -392. Let m*v**4 + 1/3*v**5 + 0*v - 1/3*v**3 - 1/3*v**2 + 0 = 0. What is v?
-1, 0, 1
Let k(j) = -3*j**3 - j**2 + j - 1. Let p(n) = -21*n**3 + 40*n**2 - 88*n + 31. Let d(x) = -44*x + 93. Let o be d(2). Let l(f) = o*k(f) - p(f). Factor l(i).
3*(i - 4)*(i - 3)*(2*i - 1)
Suppose 6 = -2*n - 4*g, 0*n - 3*g - 12 = -n. Suppose -2*w + 3*q - n = 0, -w - 2 = 5*q - 7. Factor 3/8*t**4 + 9/8*t**2 + 3/2*t**3 + w + 0*t.
3*t**2*(t + 1)*(t + 3)/8
Let i(u) = -60*u**3 - 2400*u**2 + 7705*u - 175. Let r(q) = -5*q**3 - 200*q**2 + 642*q - 15. Let k(z) = -3*i(z) + 35*r(z). Factor k(y).
5*y*(y - 3)*(y + 43)
Suppose -t + 4*t = j + 1728, 0 = 3*t + 4*j - 1713. Let o = -333 + t. Factor -5 - 19*l + 2 + 151*l - o*l**2 - 15.
-2*(11*l - 3)**2
Suppose -6 = -4*d + 2. Factor 29*g**3 - 20*g + 40*g**d - 44*g - g**3 - 5*g**4 + g**4.
-4*g*(g - 8)*(g - 1)*(g + 2)
Solve 8406828/7 + 3/7*m**4 + 1062/7*m**3 - 1777788/7*m + 83943/7*m**2 = 0 for m.
-186, 9
Let k be (-72 + 0)*(-321)/(-214). Let q be 45/k*24/(-9). Solve 10/9*o**3 - 2/3*o**5 + q*o**2 - 4/9*o + 0 - 10/9*o**4 = 0 for o.
-2, -1, 0, 1/3, 1
Suppose 0 = -3*g - 5*t + 80, 4*t = 8*g - 6*g - 68. Let i be (-32)/(-12) + (-20)/g. Factor 2/3*w - 2/3*w**i + 0.
-2*w*(w - 1)/3
Let m = -179495 - -897476/5. Let x be (4/10)/(2/10). Suppose 1/5*j**3 + 4/5 - 4/5*j - m*j**x = 0. What is j?
-2, 1, 2
Solve 1/3*q**3 + 319*q + 64/3*q**2 - 726 = 0.